{"data":[{"name":"Protein-protein interaction","means":[[31.683963299820906,28.33683742554572,24.361584329741884,21.40699849478764,17.172303226464248,22.32523842087524,20.467356657094,23.418699684886285,24.886937531790714,22.821445277948037,26.164498542940823,28.415440178485735,23.6531185837873,23.997576320441315,27.555589128728105,26.581242317080935,22.392331957725688,24.8633477938159,24.429339732153846,24.323517404487173,26.270781470638322,27.2615699721163,27.965533123475712,25.671622943990986,22.84170217213455,21.539859816772054,19.365270970665787,18.814542909525056,22.341686945682014,24.185033366679225,30.109526722572337,29.30594978848052,33.86807288750893,35.32483330332433,31.23820266638607,27.936449543820565,26.65276948494465,23.335582433877377,20.40914616258622,23.356816548178088,19.258452299294078,23.045454107662376,26.2559888923448,24.21709207569468,23.852641032174727,21.338340358915794,25.1185585624059,26.36371342078693,22.218964086852637,25.063135607483463,29.076444908489538,30.09042833928972,32.37556021287464,27.93732377870572,32.33221794722525,33.67477819233253,30.904457867530677,32.072389822762325,36.40354867596697,36.166133122651594,33.165869314134056,36.16455662350073,36.01284794155165,36.8691910624052,33.047622500234546,30.59890494143118,30.200784255379048,29.43233215417139,28.59574943573458,29.44753560830929,28.92625257689822,32.41077164922876,33.33912431410379,33.744635786796366,33.03741400668273,38.231045809364495,34.49193146097961,38.09108899024062,35.084219596170946,33.710000400657876,31.9610272557536,28.87683199042554,28.35478419854745,25.78802286215325,22.232680649766717,24.276968473298872,26.36638466025772,29.655934764790377,29.889722410407856,35.437025697724266,34.453802666258184,38.72737213834983,37.11336445784275,36.35629286290309,32.70655588823005,35.507800828433375,32.22123728466579,32.678464518803125,31.05039962361923,33.865238693463034,30.757299012133416,29.705502396663828,27.538016438432695,25.808863681767022,23.88291800450628,21.134857250403616,23.566351018846248,20.75108229819992,19.623576363405423,21.649649503183987,19.585185992371514,16.947178037697125,18.205682611002057,14.556783698390468,17.25462996843521,14.41064894381254,16.48294550357474,14.433663092766137,19.969810408038327,21.409287173290856,20.442760606441194,19.830167929962006,16.110154076303534,15.761209362342914,16.939078676509503,12.614248567897285,16.748198497884783,13.800114045204237,14.698618578368169,16.14967750884876,14.125357331928393,17.874560705441258,15.322299976305292,17.99461068840657,12.151977238278281,10.722490580461118,8.74632432418348,5.893229454391306,5.9823626528530225,8.029812843956819,8.370836449690747,12.22594553427593,14.182446849440943,12.383795829797563,14.77557211465901,17.36119735287805,15.137137422659535,17.868692825601197,18.448028447441786,20.84261241414929,23.14462747167414,26.95667416755034,30.43128390437957,34.406835387587776,33.632777504905576,30.87203333484761,27.338854756256794,25.753096654882622,24.065478637744118,20.73772548191028,15.864748807777614,18.289806497312387,12.747112637929664,16.632142643190864,13.464125227062146,8.745806917660031,10.694404278172982,11.275734997162411,9.216219393579067,5.647530965914034,7.45046054271342,7.709119463309447,12.59515941798056,16.144259587231378,19.360412395733462,22.601149512546026,23.52357934511226,27.517369703570854,24.048991596449046,24.483053329471147,20.48968285456733,18.867448867357332,19.586965868019256,19.933875675039108,16.81076145977939,19.374183385913064,19.120590048060453,21.8032846879167,18.290823514543668,19.085876016972968,19.050484131957923,17.46571313155988,16.36616292249777,14.95585185178125,16.26589243924821,17.475973835224316,14.57922735053167,18.345757115454116,19.11952807164031,19.900541492487026,24.36486096381366,25.34995116695253,21.946177471451897,23.201926059728777,27.47212672123257,26.24847205212761,23.24381423503155,27.533039820226218,31.215417921799844,28.112228287659523,29.187861553692006,32.907451016676674,32.46437756981067,30.5868436059857,33.64466463513388,31.100163704294168,36.0837901987309,32.16319297539229,31.467059513175794,35.2972237580925,36.975617967578785,41.865228055241545,40.73601043654219,40.6110603218374,37.247574455369886,38.081516476554235,34.766702809880904,36.582382758313265,36.560733210298366,30.73644456608469,31.08236811029366,33.23696443254796,30.13867279880682,26.86369120755795,27.524613177808842,28.24545661662467,25.587247543784997,21.204706859493854,22.535634832139248,23.32427830054981,27.206973528412163,29.805893545230397,31.71964301876285,36.26752224603512,33.3005470938381,29.54873812074174,34.30730978011211,35.463568345012504,30.86262081249642,31.211823315764356,35.448283591298285,34.96255435447168,32.43600768697483,36.52160247886475,38.70851504158805,36.418611581255846,36.64975245316122,39.64355239835898,37.060336025929125,37.576145032323424,34.535218646864585,36.54717060735688,37.468914213097165,32.05394425073492,32.154918743820176,34.34229495424577,32.53428215619923,28.20410067094332,32.483133364108134,33.22117301050793,28.238557618057857,26.884017077223344,31.74408845052315,31.624119294504165,28.082626642137605,25.8202779409583,28.96654460220044,27.225539848217,30.66689506260198,26.85027462415775,26.018634047890632,25.092143498062264,24.08569069252337,21.813790445204475,21.948924309870808,19.42366858097826,21.21431235637902,17.656965553623376,17.444511566144385,15.658536470961987,20.547146227379983,23.369544777352385,27.029352833259153,27.60290666435183,23.75151140851514,27.01654941441511,30.273660528903967,26.718380268295732,26.515421376736658,31.091375767788634,33.65983397379139,33.008461835428825,33.87771879828141,33.60137016007473],[28.465467426202753,25.127540688482075,21.26742090413242,18.13601951979742,14.10460793269913,19.43660624462855,17.881767653428486,21.186496213863236,22.634362731881726,20.95793258015251,24.48067274036065,26.806623435529673,22.44477033949543,22.609696884723657,26.578700903891008,25.865305549602265,21.88082771811161,24.85775032989475,24.904268725484055,25.174393678630288,27.44851075408828,28.860106510283813,29.646660342849415,27.52010530539702,24.58298282743684,22.76109619591445,20.487732333387516,19.253166554302165,22.510667805230007,23.994945553879113,29.88088073555039,28.934278725458054,33.51484643047774,35.38056972772053,31.430721168328684,28.303772071918118,26.89738424668389,24.192587963756253,21.596822805833405,25.110941771210335,21.161331918372344,24.63318675062211,28.14794441328678,26.311177723964867,26.236782922456126,23.898383218558315,27.808988498342575,28.795551990366665,24.565474497031545,27.70318449092137,31.53304976481445,32.439549481675996,34.59718228680528,29.90639670513281,34.277588769668384,35.80415414753654,32.8928030891555,33.75111725519644,38.192691319572354,38.22681443917796,35.00001616853154,37.707109528451916,37.22882450187422,38.29319213319784,34.628117492259626,31.900609288755057,31.179853954151618,29.990686626851552,28.890673309259512,29.271357605304352,28.718882107752112,32.188886547728636,33.24638097774308,34.12798348265057,33.30738112921783,38.788343421126896,35.3128511470123,38.80883719534385,35.99578446280733,34.96671369506832,33.01794619430323,30.22615560166152,29.28045744575807,27.143961391559532,23.639670737544122,25.221420998659617,27.496313695274107,30.37438408508738,30.68200728022285,35.94196759720039,34.79315143529272,38.99859132848048,37.064970126498196,36.046366952303664,32.12869267375879,34.70745298131835,31.167365860927053,31.813232948383284,29.925647066246256,32.54851679058561,30.018466599657657,28.758646955821927,27.18356979487342,25.15508597419057,23.83938363689493,20.498569183320008,22.96439554006945,20.21506650656087,18.392112444896973,20.375736386229956,17.730501640918817,15.517393928700042,16.314786346527015,12.9925113735342,15.975461248452875,13.346790737377868,16.129909317696534,14.551544050315908,20.400574232494506,21.30673612079061,19.940787704491402,18.81741645424141,14.835369914620593,13.98072028741366,14.678050528467992,10.338607883242297,14.215534032347655,11.900617657902234,13.182170496844956,15.626314625964502,13.440166743170566,17.675432995026167,15.892054965336397,18.42962069204779,12.627488166786655,10.530545422218117,7.436844702537475,4.8202373015348705,5.017330427431949,8.235973649196765,9.630614280329526,14.134300561801995,15.406266078972932,13.182906315543079,15.912392317699803,17.74105454256619,15.076883733780319,17.27473415096288,17.5520835242444,19.317865941232288,21.515632397447124,25.090142081153587,28.762969985599188,32.39155684307408,31.895632686420214,29.448045031994518,26.033974423029676,24.553025332436068,23.26991189032005,20.025363921362676,15.73335112662261,18.674844144150445,13.629355804853885,17.92909960018709,15.29503098985063,11.255946324884107,12.999901809706962,14.034547564408596,11.430656471532895,7.984642531169487,9.033407958825645,8.925974283703061,13.753119344645398,17.076201248865512,20.04016249757209,22.89242170799982,23.590993889691156,27.842696598446132,24.873088710644094,25.23394045511311,21.75801425754585,19.26498021391076,20.680704531323638,21.490174331960016,18.470159159724297,21.450886848902613,21.18387344881528,24.259269484135725,21.121497656618903,21.788161550771207,21.784741476613934,19.86479786962844,18.484932922459553,16.58279310883863,17.456788045113715,18.181262885755,14.563190012550905,17.973832785380367,17.99603668109918,18.555018582226005,22.924770044360752,23.685494808044407,20.018099236714857,21.161828985414413,25.46115986646967,23.896085704474345,20.61016754657462,25.099722975747145,28.781710780672274,25.30069456026576,26.357255182903295,30.14373613279974,29.563909144023306,27.52347306976975,30.68418076939597,28.228222991037157,33.35792593739083,29.664375561936673,29.048765376958805,32.92079370708313,34.948593905905156,39.74404810604102,38.951055945863374,38.954090627586595,35.75770731527289,36.847945896218945,33.62879393932987,35.78242732472379,35.528414100043406,29.537242116067784,30.294367570510033,32.656224082165174,29.276281339326093,26.097249215473234,27.276164670026088,27.83365992427026,24.766139137332434,20.903189083632867,21.437334347096687,22.650824512160796,26.535049909101406,28.662800266982817,30.722023740875223,35.08759398073419,32.15854491742836,28.243076528657696,32.697131560166106,33.856585358485354,29.131191663423735,29.22939656292395,33.354824431889675,32.72514822651348,30.023978316817413,34.22487036586862,36.29174223881225,33.768353789684966,34.049246382629576,37.17904032293172,34.67710572703301,35.46400708169613,32.61677510524714,34.84529974636072,35.4587789402239,29.900602151735455,30.438251139603537,32.55707646709049,30.512289413230274,26.415137966099277,31.050052019453137,31.50515271332404,26.329691200523072,25.476699845307436,30.468823688982933,30.056347303568078,26.35002692318009,23.668144305590005,27.077525514903122,24.97783043509064,28.219267327203553,24.130698476577784,23.315472429209393,22.087115844282607,21.080507886813333,19.00804608068182,19.497197334538946,17.152919887872198,19.0427700392523,15.175938226637196,15.540752304279112,13.264692780385376,17.943121290732922,21.25277589089301,24.85902406527826,25.457698485814383,21.293217069146937,24.364982210281692,27.696251176755904,24.121809313577995,23.570855450987683,28.20529615314978,30.879426938110722,30.278157024098597,31.27823006827747,31.129293034309782],[27.48362266511326,24.3143035451507,21.034062593595955,17.02363815381943,14.053907177993269,19.009488414576104,17.574253651356656,21.32668212115551,22.047787865503963,20.249643832552557,23.714495272087987,26.51577563229251,22.34550355883898,21.706662054099137,26.041931593895786,25.804173835172495,21.69401701827987,24.71178002638207,24.517382618289346,25.481265062463578,27.583791367203926,29.454834625311094,29.893143244646776,27.663263664243814,25.026917991025567,22.76747261419574,20.98904389636985,19.514706315822018,22.899236588990657,24.602816519334958,29.930260029979497,29.549169889211946,34.04628559756577,35.971850779327895,32.26364356905562,28.988087268826316,28.06536092765719,25.35684432449819,22.992213915542777,27.132928122373247,22.736310889218153,25.615022187561664,29.393258475346425,27.903201800099545,27.773145861962316,25.812777239120116,29.744958424627217,30.671082754722804,26.781944478116635,30.222655478605475,33.89286251799323,35.03640485727973,36.928783893008195,32.17447858985985,36.4898001486047,37.82854515734626,34.642001784553806,35.475500641313644,39.95683695815773,39.894438917217954,36.278002512071474,38.689053010450415,38.04022879996424,38.80426825137821,35.34754319910174,32.64346671805109,31.19452704607868,29.980167697184665,28.256665382493942,28.524447686777176,27.60494744309282,30.83936746120265,32.37484540251013,33.54617749572814,33.110378624570856,38.83945800037141,35.787492461892114,39.451465024700546,36.961891594303744,36.26264966014965,34.61376440335963,32.18841637432435,31.410544065811013,29.657970405238558,25.91727801108007,27.092380335361096,28.94079345557017,31.833822686133804,31.57692567279699,36.78094438170376,35.174766243785754,39.12029365300363,37.03900390565457,36.09181700016483,32.0110733290886,34.28871677629931,30.56993631494981,31.912829814699226,30.11608396993469,33.029279104814954,30.90589736948927,30.08795439655348,28.77205068937099,27.08808553005218,26.47914565692639,22.95481695887094,25.693953438678143,23.219025860264036,20.98014652355679,22.659228825766583,19.4071706298405,17.23549022498913,17.00882345693993,13.685514703180278,15.834696846578181,12.890015992793584,15.761244172698747,13.806622634193529,19.614936767776747,20.666717243685518,18.74195865027503,17.633209821606233,13.208666857542134,12.726791663282453,13.794420830222803,10.574917017795993,14.86382425550508,13.60599291713377,15.52622839851884,18.55437274202235,16.640154812136444,21.047442553192823,19.538630895536688,21.842385696061587,16.148913544657,13.523092428529951,10.490125919812312,7.470612109732579,5.7215781634240805,9.651281228977222,9.743461587944843,14.607741030304263,15.72963418366789,13.883490225194315,17.128499584711452,18.699633218923708,15.912756918369086,18.178158392831957,18.828800207498606,19.96517695012781,22.571458845978874,25.544546977796394,29.67261048504274,32.748355364277735,32.205265404691836,30.172696136822285,26.677102005171136,25.753416953572064,24.368820193984853,21.85401596064763,17.80803362474596,20.36219045270585,15.522985340254142,20.06464645011841,18.04158926297457,13.904604539308954,16.332116520490242,17.136193174286902,14.818598963562819,11.28627741402817,12.6179414964294,11.921354579293002,16.723511057258044,19.833439632795255,22.46554442732331,25.23786237280528,25.321972043985685,29.982343022828363,27.257009706481917,27.916416123329416,24.699915260036057,22.181184789880618,24.08179980014792,25.030963180014147,21.902484426554928,24.49589815445778,23.72308501944147,27.058972023530803,23.726733654379522,24.91719109081467,25.069833819846437,23.360435189768335,22.14483249721234,20.319859237620104,21.202826867887683,21.797146064073974,17.993439100072507,21.240020299907453,20.743520744937484,21.185037944346156,25.368802347823365,25.904314765943692,22.01180516078034,22.962753121836375,27.24353037917228,25.24009522603427,21.49479901507622,26.21522310371752,29.912411046334764,25.763387690193202,26.694885154583528,30.595245751783867,29.74479816713148,27.251781498039257,30.547959440666673,28.255450740023353,33.69677332399432,30.124339776719008,29.90536183584202,33.86593326333984,36.324455227362726,41.008575745755216,40.60646123094137,40.88308628770123,37.92127862670685,39.29567383274792,36.229903224312075,38.602706553112476,38.08902771288686,32.03005157647777,33.15595546575239,35.53202387010748,31.892707677627097,28.9041234087862,30.39624173012027,30.61718646033819,27.290383155236157,23.981294332660493,24.0696572402818,25.71651852714654,29.561864895728498,31.317590170251943,33.471581939222865,37.64217620411817,34.71061788371486,30.737191159540195,34.858863770678745,35.9369677682098,31.097011847679237,30.9821842266764,34.88472980377436,34.00263717465824,31.131476716756822,35.497055220314905,37.323604902410295,34.39193223904951,34.817084933187076,38.15797299467909,35.79832131361805,36.98756091915062,34.431447803978486,36.870035686931416,37.06006233450454,31.380826986416444,32.44854981726019,34.357898267878205,32.009483706204875,28.266273048350087,33.142332790525515,33.1075939878941,27.77136482941286,27.508439791974446,32.42577862982703,31.52945608240123,27.64613016976448,24.51224684137107,27.78639493902133,25.117956200678513,28.39742379931607,23.98314081217459,23.65671330903195,21.987148510598345,20.526271108508094,18.986498276131016,19.747548695489886,18.036439171731267,20.425934635717766,16.50294086710655,17.703159862257426,14.8352221193002,18.968084272303074,22.81272445820177,26.322967721108355,26.68233797534098,22.203657775906883,25.062875043085384,28.308417860073604,24.420060252137823,23.457250288982294,28.278320120511708,30.956836711623133,30.267865590438017,31.2357322336414,31.20617146433909],[22.609912558425794,19.375502347763327,15.648964973083572,12.34926212598207,8.160734065507341,13.170413326433618,11.893919100626496,15.5665716827807,17.12024861967215,16.29635843329044,20.042636417198587,22.2014710818318,18.741750958890485,18.955150842400492,23.359262146317025,22.974328162508083,19.733191291523138,23.56919452652466,24.816753161417417,25.468881739672003,28.44939722197226,30.487917084039136,31.66499271055989,30.083333857526977,26.81954581649064,24.21393585808506,21.576527089975876,19.130397173624676,21.4664495782255,22.01580372435912,27.775722814541616,26.35090738174823,30.83993807068026,33.45624500467537,29.82365940589637,27.22945423710656,25.481067050938936,24.179517897910006,22.3442368609255,26.70211425805414,23.42255620164409,26.217064204526203,30.134803859059403,28.835749441781356,29.54770102475626,27.651909046509672,31.761032948454858,31.986793512030523,27.576931194791776,31.347947817222792,34.586142069571714,35.195789641523824,36.998288528044235,31.859122843229184,35.937978506084086,37.87406054634754,34.867808089982745,34.99013571684345,39.546132155295254,40.27739927311515,36.717110373173114,38.76891735235172,37.63029934645572,39.2724834087622,35.998073197401204,32.68933035366055,31.659794251178752,29.594495365987946,28.375071343688344,27.77180938455505,27.443107842532406,30.938979191207427,31.87577388125675,33.59144018339691,32.28093202247198,38.08583652066211,35.05505492028177,38.165250911015654,35.706378488582395,35.33333207215253,32.93578954379285,30.779132746159664,29.0081459589834,27.81210820980787,24.551083813064547,25.164793975387322,27.79766964960153,29.707787662003806,30.325279626802555,34.84282989833975,33.55797350216212,37.63781615163553,35.14815318174339,33.58417102751254,29.30202850480555,31.49971407367153,27.649642834508697,28.329548245095705,25.966200839106932,28.106154294423305,26.61538621274572,24.997207161446546,24.53706343892353,22.10780385506888,22.129879042127165,17.949887107686596,20.616487036212945,18.47121545755142,15.573092039194465,16.91344426467028,13.247430772516758,11.718036550721129,11.462400039668314,9.208553038227823,12.705374705114528,11.200712871751392,15.021029510537089,15.01913272132012,20.846311501519367,20.37858823411275,18.653385334832016,16.480870467569332,12.79422382467773,10.580462752667858,9.764072432851643,5.520420846920408,8.483797604026064,7.806011263440191,10.124390969194218,14.072636556631927,12.70515618149365,17.308007732603766,16.98912504577971,18.525863365276038,13.595007577044063,10.345941238460815,7.202566964686628,5.9554310730632025,6.679849393774426,9.545239465604723,12.94286754776882,17.6056193490969,17.35282672589928,14.417275703853598,17.1749071499228,17.33679812156217,14.160013385232267,14.911971293113602,14.473706062104961,14.945568503864301,16.852636540344072,19.913369272382763,23.828099892643092,26.896075129550766,26.80243943143197,24.8656388934718,21.75802796826081,20.489584128805298,19.99397792668379,17.116350846446434,14.347742137853674,17.983687902897817,14.533294148067142,19.050251175767443,17.69807743867494,15.435321667008772,16.853845377219347,18.999378659492198,16.16750001696518,12.93272179234297,12.533835608956496,11.455997077292354,15.180332106289747,17.62188804914241,19.789329507523757,21.711313858081724,21.905154957837865,26.45412118728178,24.595246503914655,24.859072060731627,22.634397236788757,18.72459136027484,21.597774643610155,23.354436335999093,20.589016173166435,23.989199767191526,23.59802092087054,27.45384823464905,25.253555509866544,25.737713315018354,26.107778334839615,23.4483030076267,22.06728605309961,19.579245337188322,19.89913623695273,20.178480993598154,15.76182844960219,18.08203912274581,16.97465558171533,16.333565143575658,20.611976332921856,20.388377694724202,16.358266587988236,18.006306490389363,21.97050278471436,19.465767411676786,16.45732916404665,21.256336658026374,24.29434727995193,20.271016045607254,21.745271805815282,25.46021526420479,24.252426719694483,22.3472799367948,26.01649896166862,24.02790437261393,29.13360637728373,26.648015257093615,25.750630165045916,29.437265967100103,32.183046951740394,36.72038258706993,36.56676316440361,36.39743113631529,33.448830478512306,34.772528877471274,31.496985598365484,34.43425826963305,34.12543717386811,27.88059571061805,29.132909528379763,32.226045468769286,28.69166652191834,25.529321770903874,27.51999287762155,28.395215539098366,24.82785622994843,21.58803654120671,20.502825962681538,21.620293847650917,25.354763690726188,26.472316165446912,28.351336772284103,32.23556766113217,29.120669407501136,25.264209096408727,29.18394017369345,29.958105989757414,25.029076131388692,25.073319811666835,28.78406039594785,27.753624867771812,25.069563514642635,29.611005363292172,31.27035770781471,28.3754845829654,29.138092291460598,32.52653965794675,30.39193448707333,31.553658209800645,28.95898316256323,31.78221142858949,32.09074385630843,26.348431998336974,27.67916948288426,30.02273976784565,27.70010951931183,24.109101080882702,29.458388958081976,29.77966786936823,24.420932748458988,24.444815946929683,29.72193702605329,29.13820228326363,25.310661740987808,21.930687353453997,26.1479432218407,23.55723769585389,25.861576427246902,21.22145999560982,19.862148706989373,17.60500636677281,17.43667481739457,15.95140377169184,17.636540682928015,15.545051114025489,16.733553707946317,11.750011173569938,12.750581741183895,8.876889233379776,12.884374960575997,16.537545213757053,20.073172631739308,20.279336752313366,15.78345213253335,18.865390674253078,21.979516418401417,18.143233491179362,17.507499471098726,22.320931387329,24.84342106364289,24.168094971120002,25.188810956883895,25.177760917809564],[18.843402366025412,15.84431337207421,13.338482519927599,8.437482226075556,7.4951357287653,11.82784583528552,11.848740256328275,16.35045011804929,16.88803751798294,16.769185689606747,20.4049591658736,23.049515012946554,20.620998937210206,19.697042117841438,24.70409583085881,25.13661009290073,22.19907474607941,26.241425512673555,27.501194465831837,29.028046708421947,31.891814152961494,34.492835411047416,35.31963986307385,33.709348728190754,30.77129548966213,27.64827296406882,25.554218086096963,22.721128982919875,24.900786052399106,25.37189278909155,30.274731116626054,29.332503524589207,33.57746929734272,36.530092948153694,33.33897224370002,30.819545977136404,29.487638505397406,28.571625276175382,27.123589313645976,32.04472680389218,28.437968624334133,30.663779620111892,34.84028952486866,33.84498110180644,34.49987775150777,32.87454698380798,36.98032167333065,37.21349040368693,33.07885321852147,37.014474450543084,40.19485110897702,40.95243284251644,42.574175698262415,37.34880850922681,41.37066300041704,43.19938431687941,39.939561938720246,39.96428643994598,44.54520770244585,45.27447422543191,41.344652693227786,42.998424923312555,41.574992541355456,43.00452769360694,40.02802623279078,36.685811431756484,34.81687638909503,32.55060487612654,30.54214510564267,29.47684454420703,28.73334585378845,31.82127025651762,33.37023917728292,35.71619438688609,34.770237562755696,40.883527563679046,38.51253762907949,41.66185164034894,39.668816192744956,39.77552286331915,37.574846357524144,35.88223536812931,34.0830808162836,33.35667706409166,30.021300494675458,30.148297063487007,32.45510709959873,34.121874234390106,34.27368846861801,38.44896130442906,36.6465914775277,40.31606063354738,37.48663301757975,35.80454043296382,31.23788994961741,32.8036910867145,28.619265653185714,30.219939458323456,27.75174511892155,29.81774365207109,29.4695790758751,28.070535337611012,28.462089410636352,26.126440543717663,27.11267631280922,22.587721823541504,25.145217362407642,23.24650561748291,19.65563835335901,20.75017868669061,16.382070017830717,15.853437341697505,14.138384320857682,12.910546323514625,15.20408660504749,13.910242743235752,17.84670127747679,17.79197917738153,23.27977713890725,22.656624249065032,20.13703101142009,17.65891143123815,13.718375892097677,11.570466252243946,10.333712493425793,8.97140187421197,10.443678217701665,12.247110511845424,14.752893466163602,19.339007130783386,17.759634783743504,22.350540508156744,22.612193426799802,24.192278983955205,19.504933732566514,16.28437106824578,12.753209649850918,11.825204274763088,11.294517179319355,14.64740197822442,16.819681350160582,21.68468523115524,21.319549939260515,18.781621478804553,21.927939970951094,21.64576096825319,18.39529961343422,18.784517775299836,18.452016715358663,17.559719385726442,19.43741480827706,21.27037879264241,25.63149417906134,27.4499348087989,27.801411408143057,26.81622838050494,23.99951443999005,23.44825300198474,23.377481233815573,21.40210287829684,19.507843044031254,22.86111617911554,19.862782882736585,24.49722266123568,23.55803699222287,20.993335902280396,22.74185834854582,24.490701792408696,21.540889199536203,18.35758389518049,18.399732677252498,17.386133671710073,21.154940904625573,23.404929144098578,25.219396950067644,26.806798182858262,26.421682943711385,31.243121055009265,29.901019869629895,30.29305705780373,28.473202095428622,24.31468783342364,27.517428482611173,29.377360415589255,26.65813266919591,29.976733949985746,29.33344484756881,33.31694568257666,30.885430746562932,31.63154859596197,31.926020573760002,29.428967467889496,27.90952330036597,25.33684059170829,25.424065524610135,25.19414348140482,20.526732720494273,22.44311735501086,20.35044603705506,19.826665519106044,23.263888648377332,22.854782002315623,18.711236137504507,19.493172585443503,23.22665026402627,20.147667755321972,16.189674081688768,21.109445532931666,24.206578093999013,19.031588473437004,20.06330604691572,23.897237293323407,22.36409128429081,19.549683497795463,23.301810014317166,21.63130803987145,27.189792958472314,25.009212736634552,24.84459079208592,28.591200240336452,32.075557796297474,36.30076403293008,36.906591690897784,37.30488714225065,34.89312398312269,36.80055618180341,34.012375372578454,37.26078421085866,36.34236288713891,30.159981918215035,32.18463288729716,35.15088840066998,31.158447651999843,28.516965804011527,31.131880135303433,31.257606259121197,27.25211723557178,25.281619749237993,23.35366484397088,25.51530808064206,28.994836307501917,29.343119136091968,31.552891152271336,34.94965970603523,32.162680594773704,28.142440007933114,31.159495029216703,32.011516439771896,27.10336140922648,26.421162333204826,29.650802673593848,28.2917424538543,25.16569034623894,29.74985097614392,31.021254329365913,27.448766440624222,28.22815033629332,31.900348323023604,30.0063388678255,31.937418150443193,30.042831511657134,33.09745794130433,32.498155658688994,26.708442310055894,29.02781656228277,30.811237742164128,27.9612227365057,25.209131612607656,30.823727896100756,30.192928657938083,24.715092371862546,25.889406235162745,30.873198926740542,29.428695016571226,25.424981857526944,21.314752209989216,25.313496973239868,21.81988742607723,23.868047856538773,18.758349965283042,18.24372958521552,15.22309133796978,14.302568669748203,13.986982025565988,16.278640528502297,15.477948375865159,17.38430108491873,12.954216606308803,15.628241324080214,11.658405483164684,13.745205206138207,18.472311858105474,21.410856501926794,21.624415413077,16.64026984174224,18.621804764211227,21.70857555149671,17.91304028767785,15.83866159428082,20.696131871850785,23.46892510327183,22.93410534606515,24.170590903149716,24.591807948649937],[22.635472907696606,20.039692617889337,17.631550446653016,12.800914373604076,10.809038847486136,12.680766355504979,10.460450419315102,14.295932223405849,13.835887924792004,12.02154507970041,15.489439605316702,18.600761191862148,15.222821024272672,13.927092737572222,18.810041884482644,19.239059666415116,15.885066371431337,19.74687419254123,20.93255451924212,22.663189828555783,25.541958965959772,28.404594934008568,29.249616940946076,27.918642508609796,24.94158883621279,21.499769917380917,19.520624672636465,16.449439523876325,18.655551993544172,19.526622588769914,24.091592816506616,23.777702509957198,28.01569364731469,30.61790632993433,27.497892335324707,24.717045471336274,23.934844798364782,22.756154237784134,21.591632512801745,27.085977744205206,23.28127387461372,24.849537648626473,29.201334851693833,28.635278627902917,29.58964668877491,28.543787247601124,32.69794938535103,32.43508571435806,28.64930782525969,33.15944543028861,35.850326016116135,36.83576429383837,37.97686058863594,32.65374857716462,36.49676161063393,38.09150696072198,34.57142727016633,34.48068781150327,39.02849204971561,39.7617787332647,35.518093269960225,36.86181791881822,35.31449512846773,36.64474262546217,33.83757515117703,30.457403012018332,28.31203107446316,26.005137783528117,23.922481262959984,22.935138582943388,22.213451155945357,25.42340771938644,26.852381025590304,29.102944644531018,28.226708761896457,34.35927222498932,32.11411040374091,35.38759715349622,33.566534407474194,33.87564942737526,32.03481135199041,30.718115827878293,29.36004991499121,29.06926513367478,25.432503574098867,25.072974193635364,26.805306653903177,28.600878594032345,28.174386278926555,32.42210129698721,30.362589772612292,33.94532333499472,31.23488529112714,29.81563127258234,25.339864821171776,27.06763767366021,23.013620538002883,24.904989036255223,22.93768912472526,25.938947419807803,24.854417606008294,24.604382629602124,24.241285025982798,23.129946260715066,24.531226894793317,20.70849877707636,24.25463499480154,23.058227767418153,20.213421467299906,20.354946000274495,16.19165046301301,13.802459467922198,11.262280937558549,8.727017421639081,9.394733335244055,7.586314682298959,11.382170991724387,11.668774711520308,16.89184069452717,16.04442536164593,13.549447886494507,11.136639402034497,7.174394858950853,5.134663010346693,5.590298181023157,5.742378272228042,10.466699611280347,11.355228259696776,14.719157886946094,18.396916787780437,18.554517845485,22.956867636529314,22.513203080898208,23.112492120559303,18.589473739596237,14.513242623503244,13.146091098630944,10.025628209309575,8.204817543125717,10.543551574509102,12.631771269067347,17.04178940695487,15.773605326722718,13.358821122021634,16.580355128211917,15.908982580999231,12.771915930261535,13.56435331579771,14.283453170598378,13.73806694641233,16.961574600329385,18.64018595011633,23.434298195317325,25.60145382460655,24.833757830031036,23.494951121314855,20.055061909979127,20.179502256102584,18.967923931252244,18.100449827297457,15.68136447825401,17.92974591516021,15.30038611658248,19.91643543040605,20.03199955725125,18.13456691703485,20.82641313073122,23.09192041953448,21.122477011532958,17.283283289066038,17.25690145925903,14.840049684770044,18.156643140653326,19.94845768901543,21.232931067573983,23.0424761589536,21.8150705740308,27.086988122340045,25.690923766360317,26.719984990117414,25.10291578754106,21.697709524118213,25.48462548489023,27.50817473229912,24.441298977398894,26.720572467519105,25.234746313158332,29.716065294497984,27.519666173111744,29.005010502428643,30.036587365409925,27.483861245171553,26.94436135351799,24.889213320978243,25.66419706261026,26.415587152386273,22.174775612853555,24.433810786453066,23.31327539630907,22.03900055056639,26.308892874969356,25.30846550625316,21.239747045814443,23.372493240238946,26.90715275577405,23.578968669128212,20.91285690443785,25.810645720641187,28.120189156971236,23.373915842504108,25.12090968703319,28.70610078415135,26.584511668388153,24.475069892552234,28.693558705937164,27.337014837972845,32.578091993036075,31.01861165647518,30.339565411114542,33.88185990391545,37.252277158701794,41.46987233126445,41.88936556598394,41.709642574579824,38.974919988794284,40.37984359043474,37.01959506750212,40.333524242073395,40.11094051136935,33.82142030860541,35.16634271783802,38.56588789492802,35.04524403824489,31.889894772609516,33.9818168453757,34.996025240801025,31.352308315599284,28.194002315403672,26.845578006638995,27.594210128602178,31.24601571725362,31.959359253867383,33.41959651643703,36.944543828707346,33.43875205001633,30.01731465681483,33.619033155406626,33.72924615930725,28.71311169335765,29.09736542468301,32.1648578919426,30.551388987447442,28.175755185167407,33.08078865218161,34.07418399804804,30.6133436762567,32.17828274617698,35.87075610232075,34.24786799382606,35.82610283243083,33.50872519710607,36.7934622344265,36.85235184084638,31.076353987624714,33.01416662979804,35.42690479731804,32.89025160388997,29.76879196853394,35.39212882014218,35.4619600100504,30.04517623302694,30.612841700443802,35.862313833372674,34.970047862891846,31.050856227055185,27.221623636558743,31.40171748084894,28.189260874463066,30.22273181285831,25.151346714082145,24.132678426874268,20.86545062976574,20.66762415520012,20.208616491832395,22.46504302073481,21.088909630383775,22.4175757658207,17.245792576918216,18.556977001361922,13.874649904303862,16.653504962000618,19.95446873612144,23.350430691830518,22.324309268941427,17.975017287155318,21.297361418570574,23.51262325856277,18.564476372367952,18.380408974236367,23.55654931068277,25.342945326042056,24.03129722257323,24.54426077159023,24.37311635856909],[20.175260605500505,18.084364390642797,16.570606260325242,11.49651857455722,11.020291276486923,10.532279149674162,8.44492880429141,12.277177793512468,10.739055463438154,9.513863281100932,12.800774424999876,16.088657301435862,13.880683523024949,11.960227726608617,17.15061383762497,18.183789526296135,15.676229689525668,19.840761846109555,21.71688102599827,23.86887167949377,26.966465667159177,30.233233848748835,31.17296940943967,30.218755222885875,27.265363254395684,23.437475309534985,21.5588339147014,17.94783754078813,19.32939868175628,19.59455208242669,23.380355273866726,23.113927428159244,27.01944138852492,30.051871206212383,27.411644797375896,25.051255326315037,24.36766180590811,24.123840945136408,23.59050867435608,29.441975099885845,26.007338819477248,26.962843563392614,31.42315050971373,31.241148861818935,32.55562429025464,31.85039701297935,35.987464047983764,35.332108745783245,31.67279260595998,36.440703623608016,38.748896993252835,39.64358462150101,40.493450041411904,35.036982950751124,38.63152812894058,40.33618882994275,36.72709887286459,36.23146404133784,40.740236752233905,41.81347422707151,37.35585838639992,38.167309257944645,36.19455767826845,37.738522957646005,35.32697556038546,31.72249815662569,29.199991320931176,26.39336593611427,24.065417980535884,22.312545703311688,21.643737019749516,24.603991424852627,26.075400499087277,28.989714262166792,27.965327647194123,34.214770876467774,32.5352709658176,35.52408269364761,34.13806851146301,34.984405301731066,33.08013303775981,32.338417449125245,30.678879082054486,31.067844435048578,27.621967972384677,26.59315202973487,28.238968679547458,29.383966983344337,28.89088013520482,32.4586081164704,30.153983499546484,33.39526232073474,30.31212464229201,28.59535515724769,23.929928992873357,25.11822901333467,20.84949340956882,23.196824967845043,21.07433809951554,23.89998251991529,23.81459630274486,23.771638815820307,24.222111597346505,23.29186760827517,25.732808038008244,21.785599730269237,25.392808294114197,24.757898861210727,21.59226784068309,21.1030276719294,16.6191201338496,14.757322290021564,11.05112910977844,9.961387002730971,9.560773792578308,9.189358475559597,12.714882708273835,14.005428291451697,18.32258441286809,16.552662478232754,13.809046309527226,10.762261222409025,8.03949878846292,5.491148705211157,4.350705447853949,7.809060303232857,10.718517272020256,13.065902612881294,16.58160783648321,20.475596624241565,21.16643766716781,25.42113016612128,25.538481280689073,25.626525058351866,21.70898066673743,17.49545268002945,16.43551468477161,13.912712035143153,12.421993196527271,14.188258419735329,16.481667036595105,20.539211579727464,18.638988795759555,16.2849018434501,19.23761911138432,17.62556564987328,14.640054372198858,14.405411161729381,14.908059631962196,13.04221442203121,16.17874473608123,16.686357675789377,21.765997794984038,23.01053686244022,22.356202363758314,21.74288877424577,18.61454605956804,19.424528228090207,18.643827571674564,18.735756057440042,17.53750773482494,19.604260787193557,18.149066205345807,22.493233275889242,23.30592984129193,22.070287451495858,24.666353966326536,27.20513422551758,25.212753854310094,21.444876745938522,21.12185092781117,18.53688745431256,21.256865365080497,22.503078206057108,23.185956260674306,24.38091064900317,22.60598310684892,27.940228544253642,27.314806847580734,28.400205948045844,27.554237226787976,23.765305859595507,28.145499343298724,30.52240606268678,27.6066301053626,29.848818016701777,28.215068258692444,32.97034925763985,31.181252325963076,32.68108630014902,33.88915100092866,31.12512958523093,30.65522804243668,28.471674949827698,29.07928808487498,29.690285524445073,25.30526053779236,27.08616812997273,25.54334773302398,23.744642848809125,27.702280711605475,26.10703305846244,22.105845817915963,24.41330578944917,27.474528616332464,23.59688986245596,21.332337247578995,26.09718393288693,27.744103735380012,22.66957775429884,24.627114704549633,27.95894419613966,25.249138348700328,23.226056670927054,27.738331594901176,26.916457055264424,31.98909228061841,31.395391143427627,30.678746209566942,33.96609605237562,37.791978692906156,41.68505807956673,42.588257555004496,42.351948791153305,39.870540876624155,41.40258273418856,38.09542468708161,41.803041463161364,41.546670684365736,35.27671771849359,36.86608877916984,40.57224165232987,37.03412599057205,33.984261367804756,36.41264976205686,37.526551842224244,33.72193950610407,30.951470670606557,28.9363506061597,29.603599371165306,33.04225215519913,33.15666372854098,34.41365215514001,37.49533150907325,33.92106226970659,30.739868489467572,33.82053659411802,33.557335240820045,28.59179280656078,28.984526826965087,31.502358085975736,29.524946526777534,27.325244390584675,32.35304130018213,32.866205680363926,29.080930564065657,31.133749085551933,34.966132064877556,33.750951300947406,35.63403001819504,33.624388000525855,37.243648357914054,37.04293221688461,31.342463097948094,33.801693535888596,36.24445473185691,33.57592504282287,30.94647977435441,36.79502586872778,36.711255227900374,31.35723711322322,32.44798869379213,37.668164039963244,36.626086613762645,32.734032842595006,28.619211345804835,32.995010696654845,29.517142413223855,30.946221002990885,25.71162970311686,24.589809408727255,20.673608084427958,20.930210490891383,21.130566274076894,23.933252539099374,22.94074958122975,23.940177041859037,18.69473569955027,20.28034872265772,15.28013951920357,16.84530322956819,19.93651609984273,22.96536548228612,21.36695373124663,17.17338916418059,20.25519147359136,21.862330159798415,16.59876338737879,16.480709959208042,21.610937008244736,22.935643793680555,21.372333404554045,21.69434857446843,21.603888979531913],[23.095056858269896,21.452813418114403,20.648048723177673,15.260749635481508,15.602970382616455,14.512807506171928,12.347134525475408,15.512496061787946,12.665204302309684,10.450623542920573,12.723172789346435,16.733004615974767,14.580366813182962,11.166965220708587,16.269888964951345,17.987318479864996,15.338577911882949,18.911410180833517,20.199336813968568,23.16220492501947,25.811633189518066,29.493724965399508,29.988204836059484,29.07877788075787,26.584179079321206,22.441409555440863,21.349559715873923,17.834741412349626,19.300426520912712,20.122003560302524,22.678638561275623,23.575898635589866,27.141233108677458,29.832373397198552,27.59953486855681,24.997344900696355,25.214945010876807,24.635284014782023,24.379174744674767,30.581493052816114,26.69871110159624,26.917790585428676,31.453535827302638,31.646647085133093,32.86238647868413,32.643974781817846,36.652814012990554,35.90122110883752,32.80292409190114,37.77349901998406,39.85305464733452,41.06748275273722,41.577097082458856,36.21660493002693,39.68847869852649,41.019736848463495,37.12474081785169,36.701362851582026,41.111289253326916,41.954843210922235,37.151402018533474,37.59699980953883,35.53474370415451,36.589405943255706,34.493109739020426,31.09931909135835,27.74950536291877,25.095433090508855,21.995173895688655,20.225872210363022,19.016301403807272,21.513012861679734,23.60861088497427,26.745934301365196,26.37699877434333,32.695104197872006,31.623768479392645,34.82307785822853,33.88548386045008,35.05280369345965,33.74678303258242,33.421957148067165,32.315488993352076,32.99239730511043,29.311777436487407,27.970982551453233,28.836415326899818,30.16343137807786,28.777402265107956,32.26966975116316,29.394248575585486,32.147461157042635,29.10168259820053,27.747096288770003,23.169488625537987,23.953630824412446,19.734709452381455,23.192473446282197,21.684441294639058,25.21963413124064,25.141008333068008,26.151840421901486,26.31323226421589,26.30023545077642,29.014199659829785,25.496295687226,29.391883239890486,28.954958148070606,26.02472031750363,25.320937150853794,20.968826079831775,18.654773498529643,14.715361307030804,13.226861773934305,11.10552654216154,10.28658085238467,12.654035739920687,13.508176805159104,16.744647363307124,15.193824425593963,11.899174468708788,9.361914385166656,7.111572105827632,6.618927340246691,7.682188128236001,11.746196006170265,15.27479495634265,17.33667971761323,20.916536640181963,24.47388244882539,25.40778781738967,29.64618230113957,29.40029432911621,29.382923957977614,25.360552680184377,21.04862337480316,20.35566158907668,17.062683151645608,14.731305116029128,16.296441903251463,17.252029244236684,20.817469159471095,18.727478458290665,17.13969193055975,20.19335133677371,18.598925590125564,16.038983660463494,16.29978652120461,17.64800923480761,15.825878448473937,19.502937904878365,19.32626445108103,24.565077785862567,25.284032980967933,24.083602319406122,23.805130306652345,20.54150169215095,22.14241284068282,20.715932970684882,21.818609103286786,20.367866060231464,21.43484465131243,20.066750598110325,24.249959452349565,25.513552753175944,24.101091941790905,27.320097649665918,29.631523746140253,28.09121567222959,24.101504218991586,24.179748380909466,21.277181799214187,24.031887593462354,25.1815676306384,25.618420671023546,26.987891389897523,24.59117290542,30.13064065344359,29.47562793225906,31.00063843140393,30.153602975686624,27.011531165235173,31.422349646790813,33.68735723999558,30.57755149767702,32.138262596066,29.940426269646018,34.779599191951355,32.77390676357399,34.87201038308954,36.32252872288018,33.82122023919997,33.74033011029493,31.868548891005236,32.76867078845914,33.637995515742006,29.39250007946678,31.427673946108413,30.054888356015763,28.34406794813992,32.36704905004605,30.75663754301084,26.774113566186237,29.061557942128385,32.116163924677416,28.169478832780236,25.81955007229219,30.576597303168505,32.166397807193164,26.913084876626012,28.76857617070634,32.055292252110554,29.161535105986115,26.94134127279903,31.4439293776797,30.790281770769436,35.94472889884191,35.398867793424124,34.94477579337946,38.24405888892273,42.204688547850225,46.02065914125282,47.07129253127415,46.937134303241024,44.51199422938982,46.07426595623139,42.76318854671182,46.46254692733105,46.203367764234635,39.93334811450722,41.501190139113135,45.15721028740279,41.59099202805488,38.54165902564771,40.874244083228774,41.9097238551291,38.115982653335195,35.273735920635346,33.478671043081334,34.13532224221353,37.62107375182481,37.80983463518088,38.98424438460091,42.0334722973709,38.352389704569724,35.30905745089251,38.369138221295806,37.93710205448807,33.005701901426484,33.50206416435826,35.82959231171909,33.70455374417768,31.62132291114755,36.66569798444718,36.95838523309338,33.00569084088637,35.25295444007175,39.1416708050831,38.07537992598485,40.09900473188137,38.19223823420336,41.86191850726274,41.559706771538245,35.8757908373196,38.44336727747381,40.813708605990975,38.06977692797041,35.5229512750506,41.363486080385584,41.11871415696768,35.72973704156716,36.89816933707927,42.06307260871806,40.84034472255138,36.88997836519892,32.68841126973724,36.81625950271853,33.107840581015274,34.69081751499901,29.40315345025628,28.683979483799494,24.68467540654836,24.548314994407047,25.030486107815427,27.741781734467168,27.01381839224409,28.3502916571856,23.234149705938236,24.89276960209287,19.918396657963036,21.48261223054763,24.450256587708697,27.408906985976966,25.482320072988745,21.52973530047008,24.539477203710664,25.80266724918303,20.375223667982116,20.36608311384657,25.353656064355153,26.33090565465066,24.529639399469925,24.54780295866292,24.359069156927003],[24.06613089147583,22.54841846063932,21.44041589898015,16.875920372518213,16.26737567964683,13.91369589890657,10.736660401550285,12.645478956847628,9.323776366938144,6.002937355364277,8.03493844226953,12.115892638815945,9.85087398128771,6.394553005904848,11.59325920803795,13.282342408214149,11.208263673427373,15.124351034792292,17.444070691663867,20.11143465720269,23.246195141526698,26.97420244580393,27.959854951843376,27.598612007825178,24.76954398803406,20.5414475507652,19.023793174516474,15.034146790099053,15.570684671960418,15.807645605090572,18.208385766855784,18.8671826115943,22.35006261293642,25.2197030369598,23.117994050966672,20.855131424677598,20.968674492040808,21.14668177063883,21.43262978157694,27.759916785030775,24.558343411314027,24.358697003716955,28.867796251958413,29.37225894027675,31.140442324587234,31.209195732079646,35.206922948443776,33.88902446745165,30.78274837654838,36.01917013052248,37.595845717418456,38.62032176907656,38.83648329551985,33.377176728946466,36.541712070280646,38.04531342502589,34.21609548107751,33.362561780585125,37.70506567068536,38.971343451871256,34.16042844397486,34.26910820332863,31.907519059771523,33.456001135164485,31.558088340796598,27.85594612789543,24.79444253425233,21.61749613195771,19.037353657077585,16.70870948400379,16.13335792122754,18.977420978139367,20.307479198553445,23.63952427611896,22.602632504572405,28.889242925675546,27.82462526081201,30.6966976411881,29.854805491980482,31.287607041662817,29.788294571203185,29.8546768330341,28.52259198705277,29.746213956841075,26.300469202144086,24.40223819218211,25.278317538035314,26.056932743899925,24.860506514832277,27.904841942235972,25.13826597208988,27.952136104875,24.746232615263025,23.14552238929892,18.49962413090648,19.398691995141462,15.151881615150105,18.343968113157988,16.867996724270903,20.639387495980404,20.431701413763268,21.885585817423756,22.038595856675524,22.579710157154384,25.840819099038615,22.74501025643234,26.92219918638214,27.116397923060614,24.56390924688162,23.16216389000027,19.167254632762468,16.386658301868195,12.107653766761697,11.053301378222164,7.722494862859748,8.372737951328787,10.221693147719716,12.637632157342084,15.137484224681993,12.316303142081146,9.628691213828771,6.298833910896744,6.532623784586824,5.362844707279004,6.100504029342316,11.094050477688306,14.384399296989509,16.201076509074475,19.802973020955864,22.760358962676918,24.75944381449267,28.598097517400664,28.44745641157705,27.619258752894538,24.340915266835506,19.88709180246923,20.396741958528647,17.158768034992175,15.311990927312525,15.683382799269433,17.59566078363444,20.518376376210636,17.560999904680983,15.728838095986134,18.15311162087934,15.609267197973939,13.361201419495593,12.798188550874631,14.275729498024129,12.165267946737469,16.172568305846028,15.63181598885235,20.839864518198212,21.75294519302652,19.960507779857412,19.50976358819485,16.125992765491972,18.175172128782638,16.472506905671523,18.453716511198188,17.663473486278868,18.231304696599004,18.110338221927837,21.78867596940191,23.88447196816659,23.61926328074045,26.67948472838231,29.553740800047585,28.32314912668672,24.394901535996514,23.93905080761971,20.56722975465845,22.3654689035301,22.8217754106288,22.611111101431245,23.553480729443343,20.68219598769642,26.19389691629694,26.034624599841973,27.704843484652688,27.5280024869926,24.44612275323567,29.32223334738562,31.87854019953244,28.90672290154932,30.155368967154338,27.788658417081333,32.900974010898835,31.60461441749294,33.65514034922523,35.47849026925381,32.68845244289035,32.99637495754158,31.21698337442572,32.2046175118076,33.39066454011861,29.37382118322834,31.146024427557737,30.101825880207965,27.76670239468363,31.98731075577883,29.876638355130737,26.137500320172233,29.193042227739934,31.898871961473517,27.84243866300605,26.51485926057015,31.08892890196256,32.00383368027626,27.2926576333947,29.651491209306986,32.660058803289495,29.489312703183092,28.014956194575667,32.73949242825251,32.27055518346768,37.00543011549255,37.07281634957146,36.05745263317006,39.09877970812846,42.94968597204989,46.69427185887267,47.62712363595431,46.98672063448698,44.40869929723907,45.624173954594646,41.996598076021726,45.8343670745402,46.0442074749901,39.79893934483692,40.998727841329206,45.0466435708949,41.852815070211776,38.55640532190643,40.721574480485145,42.42300713661133,38.83191810466332,35.5072492385061,33.67625410591557,33.42244938626291,36.801810133629346,36.9433113485529,37.56781666555201,40.4852230485169,36.44720575269105,33.90828710122322,37.10655930335377,36.15452764306331,31.319392087642537,32.463404849851464,34.56278092082679,32.3280863367149,30.831673320819846,35.94739606318069,36.05979435186404,32.365812551751844,35.0793398639366,38.87235990817598,38.01807483545579,39.72840158737684,37.58656210213686,41.40520610888329,41.55985156403927,36.00104667010195,38.33700525992046,41.154133873078976,38.67628722064857,36.01046499884955,41.85616604456048,42.15863384035589,36.90331093491637,37.78077917026618,43.10956394899489,42.35579913774087,38.53815544340825,34.52231941967304,39.030644489663786,35.64030378510301,36.91025544381777,31.687447945970696,30.302174674681364,26.205785571159804,26.881793739880372,27.133392624398443,30.00492276414146,28.82599662493363,29.47049007343095,23.98431394222168,24.884786127583936,19.78049469324192,21.262221250447062,23.142215851263575,26.12937556108673,23.503829681542356,20.254211406013265,23.874853260306313,24.510896532923873,18.754617286451538,20.07149914456801,24.936297731525944,25.23812713957243,23.050865102335358,22.618426008919762,22.02810941091399],[21.520458286352746,20.571768310237243,20.153124760582994,16.256303074104864,16.461141637782255,12.175939497783855,9.54684833687132,10.51961436216899,6.053390825994271,4.900827709310383,6.084053460724416,9.605001768147819,9.888831626866118,7.125354143189908,11.69553485436939,13.724099107922273,13.366490899693225,17.462746834861186,20.729842655315576,23.174781167976672,26.617835599523893,30.362189161194195,31.659866841171674,31.649503388567933,28.69029600962856,24.47766057320014,22.703678936660115,18.47783139223701,18.0194357168457,17.12874197431736,18.980848890699757,18.930388714490253,21.92210286898825,25.472594252534975,23.872348372359657,22.44139700885579,22.122520892126737,23.588185677234588,24.347798992996033,30.554917053267705,28.07364471262425,27.73709882902884,32.14536409440359,32.799532819236184,34.91815855438809,35.01159484546558,39.00047479201754,37.39596837239746,34.146304040422486,39.41249805836985,40.73348594142203,41.46900820702573,41.58071186170039,36.03236289833032,38.933749299008355,40.74076815783245,37.07236251537846,35.761553279557425,40.01095808460471,41.758080659675194,37.0252249275304,36.75217474099175,34.018346130408354,36.06377598218424,34.48290044846971,30.534265961675786,27.67043731734028,23.987970297517606,21.760872050042103,18.638147353314498,18.534538624056058,21.071119283958037,21.969867297387914,25.842982492588607,24.262702703329822,30.362762978393377,29.68179225807257,31.961682067841714,31.417459499297266,33.2498196336314,31.368139282269023,31.84050278043457,29.894716272810953,31.653059620334528,28.657117359900973,26.318378067664515,27.52211180759935,27.404940175087066,26.723469017951274,28.828764524566207,26.213657117031655,28.75663785509042,25.145881173613333,22.95777835327862,18.228489198728855,18.476893211301633,14.102581733163486,17.130200518466005,15.13833261370063,18.079416179625486,19.35427832443632,20.500707860461812,21.8496985945135,22.14039109239673,26.296668800992915,23.022127855154285,26.948744116564324,27.63433593295775,24.802126251521756,22.898437130287267,18.856357595030758,16.977051900426527,12.25261415017599,12.943671193191522,10.239115819019528,12.213332503848843,14.133991745245686,17.165784765616998,19.309989164021143,15.799008265033583,13.620452678508325,10.232055741231266,11.267969569163625,9.370310332390337,8.012887804560886,13.270743335555148,14.570208367166643,17.36578866116385,20.787353778839204,23.904681444850848,26.195517251374717,29.79561844989164,30.321014890355897,29.104522673803352,26.496566354131897,22.131757312402854,22.626449122437716,20.254470218702856,19.04623027905253,19.347031107224062,22.010127198219696,24.960916322760564,21.817217291307795,19.707472603710123,21.743286047729054,18.563358462919908,16.437888434681128,14.666654293241116,15.25328366328349,11.872419015609347,15.00970434980981,13.10525350367273,18.26419358149117,18.08148108887392,16.625814454876963,17.11725675639486,14.490308421434792,17.01559701677006,16.33073503864117,18.82735755715754,19.495215050175133,20.4119655183228,21.287235224151793,24.656714658702047,27.002291071878734,27.315764686972802,29.909164072511768,33.07798364675241,31.57456240985779,27.844765326723497,26.982574396579178,23.75338487450441,25.058854326136416,25.089236766437907,24.45622490290931,24.61183374431495,21.630873556189353,26.807196658988254,27.53903116734602,28.960629139584746,29.579489827313655,25.874615875261476,31.150111924138166,34.04416731750131,31.373227060279678,32.95112329132857,30.832901898787384,36.03825531655951,35.23684695430974,36.92890376464342,38.746388623007434,35.65427583969521,35.80213198941716,33.76251472632636,34.44143769301367,35.36411183005372,31.216574492362092,32.424394614534954,30.982390666238498,28.173348708968604,31.97291381636767,29.321717281654667,25.82167920789832,29.01477445961026,31.144732694757263,26.735302203200906,26.049075338646666,30.273680059894893,30.421734801533447,25.771715451989156,28.354143913138685,30.950426363912314,27.32573075217455,26.255632408682153,31.10339400037398,31.14501939336832,35.44645980793858,36.519943391915824,35.307263649742175,37.980261868232496,42.11801280688715,45.497609537857656,46.81763392718383,46.02433961989658,43.69355267103592,44.96385324645908,41.415666078991876,45.60111198968466,45.82085572580524,39.69512938611289,41.08270951298949,45.42297266506215,42.29775437920716,39.12784428607293,41.60454500083027,43.45817836552685,39.77642896281348,36.840780928292496,34.35404268107089,33.967703408794144,37.05069308814873,36.57673197577115,36.9680572197415,39.37332282444536,35.35872548453963,33.126446667726526,35.736191897442126,34.41773220100107,29.77733163823722,30.946952760441796,32.44386819713437,29.924604217744307,28.73802809703956,33.81918864669894,33.46875634697015,29.652831805309123,32.82038726690594,36.61368194222746,36.182056798072196,38.05423043065764,36.199266246164605,40.268716032472696,40.26535163510691,34.92603033420125,37.63231643298255,40.50610023707361,38.020717378830355,35.82766787503769,41.77040236931242,42.054653589804616,36.98954170038758,38.25425418911448,43.5134509800552,42.760666715815205,39.07041615925444,34.94453970512155,39.677955743827816,36.257383719122494,36.86227446414577,31.67925119273984,29.997425739032025,25.539424185251026,26.858352109592676,27.501182493150363,30.76576603942837,29.77364058633142,29.915961835191222,24.492381215230157,25.461064307038214,20.361404760954635,20.71663861154691,22.114206858648082,24.586481377894756,21.485434682491043,18.720649472565043,21.97409003320348,21.86872208461206,16.149007055852035,17.807863561581215,22.234754930190945,21.905667074006242,19.489604367852134,18.787290332002247,18.243455299990497],[24.6749972281807,24.008260713418466,23.771195866309505,20.031476318802465,20.160915567796724,15.65417487538321,12.866433965501187,12.863151074639324,8.101042556763177,6.131670569134019,4.755874469151904,8.48076843874331,9.450013352200386,5.907804817740058,9.346791484521423,12.039309730446941,12.486085980907438,15.991220215140537,19.459252239330404,22.155497945686204,25.4782000826525,29.425731388903476,30.70242574129348,31.063774733447705,28.28696444055343,23.97688623132238,22.529650495934796,18.32784246186421,17.272169851890823,16.30533746455722,16.767977020169134,17.4430801620334,19.8678987906716,23.285571019151597,22.244017066008823,21.030914599658747,21.292995674020045,23.07129907381258,24.336165755384833,30.633264508841947,28.341827772791248,27.317898410758332,31.632804394431332,32.69454025714449,35.022535974047805,35.556382477880895,39.39525435204678,37.44820936482209,34.59058258884213,40.03009647725175,40.92013944361375,41.73244125477678,41.462180087151886,35.99968585566809,38.58638387001801,40.24049658457601,36.48652218155777,34.96252762157902,39.03024923023886,40.8815177215394,35.98726902803849,35.2228737181971,32.242168925288176,34.257902359415525,33.090800613238315,29.164333976189777,25.97477697337347,22.10774233714947,19.768988837145432,16.19099706883945,16.211996185182,18.4022870476982,19.147506404183048,23.36152203851556,21.79593068208147,27.76800935238717,27.65203189581586,29.751653349821176,29.670185711685594,31.921346224744088,30.353303129682967,31.37704045274099,29.674955335854097,31.925137475444266,29.004310634869455,26.19602645130215,26.864853061758296,26.45427494209025,25.308158824789643,26.8750030248987,23.947450589430815,26.02587123389266,22.31019217920524,20.18005712672432,15.566452549277667,15.309804108513063,10.993996379425086,14.88901357148678,13.52734387828231,17.047764014411417,18.406939845194152,20.612470704301668,21.79231845108276,23.017334150845144,27.529228688506514,24.81921907074125,28.93402999685455,30.00197095987948,27.520647352291633,25.2623012122452,21.584570344620506,19.339902807295402,14.717472670843529,15.272170089983272,11.635051439868827,13.781613261284567,14.665733389707677,17.94907892383787,18.90348456226221,14.978453966453072,13.146820654654205,10.247211670454925,12.644531028549409,11.570244219752448,11.06577449501621,16.249314946048244,17.858565545586252,20.274915158686706,23.6508777917361,26.287586034728037,29.078227595462163,32.47321196177573,32.82930938533839,31.229470634396677,28.915648763728807,24.52781073007183,25.61279549233531,22.917142199600697,21.51817877727091,21.331471923504402,23.656288697366143,26.008483801740923,22.485751668330796,20.765144193834608,22.451460945353436,18.941908791425835,17.379910230335607,15.563396823374966,16.614591558822646,13.398574393975284,16.69449570530054,14.208785637282773,19.054845729399158,18.508193572500954,16.27943178457853,17.03040450915267,14.493918983880393,17.779766741353967,16.596702978966626,20.1353728529233,20.97940497245712,21.0411995464017,22.564457829222352,25.471734030060645,28.39957663358303,29.114914242911077,31.91806945274438,35.16936873937235,34.03595904073889,30.252069241369576,29.39311630637719,25.88067740116402,26.785133556272275,26.446150429931166,25.363445926297324,25.364672050250793,21.825770108931682,26.909585650636405,27.93618092340749,29.664645283000144,30.64217222928123,27.41923148275879,32.82163227278178,35.747490954892136,33.075009038275034,34.10187869176928,31.621384764085146,36.91907409534631,36.36391586030702,38.33982626013852,40.44630823269221,37.3979746512492,37.92739588765827,36.11351021205818,36.98103056750214,38.170055367967706,34.21369196233676,35.4542689422145,34.254252354792456,31.282345485538556,35.17616912452123,32.35224877280155,29.005070296047574,32.45279355359251,34.440105686848085,30.020932445239524,29.672719360705067,33.802330612287165,33.6622105884457,29.217068222687974,31.9063669862577,34.34852823738898,30.57549349998704,29.72062232928931,34.586829676574695,34.77056524268972,38.9176586872202,40.23703786628198,38.93758354281439,41.50291768756747,45.634733874766006,48.93226655296718,50.26736779425872,49.30437169070134,46.943206099247654,48.06237132145562,44.386462676337096,48.60218909330136,49.0362181380163,42.94882090020448,44.14861912151208,48.61392487396769,45.64844767173594,42.379752968821705,44.71475723480302,46.80862651107753,43.229450378744566,40.050363296834284,37.693444856026005,36.92477645166688,39.96788198826526,39.52880573001516,39.619338492820134,41.91955880488906,37.71697672573919,35.832831931803106,38.46904512527639,36.81982530694201,32.32498423088763,33.83618230874246,35.10015330592439,32.48882255784237,31.668175101587792,36.70821516720673,36.15120200486405,32.43260602578664,35.870883915083205,39.601481276359536,39.35248741406575,41.137256190124965,39.24549584221262,43.37116144434611,43.52400417496799,38.28694472514967,40.91794416322773,43.93176062696088,41.536284640860174,39.331116321249816,45.243250640807155,45.67898650331778,40.65995070306641,41.825315850437995,47.11591647301679,46.47176081485051,42.80458849030754,38.71896054710111,43.471220106641034,40.06524237878794,40.65102103599476,35.4751365274309,33.75143130583564,29.26800572025878,30.650635143101724,31.307051895343804,34.56142816838719,33.511157722666,33.58360220378701,28.10055384063764,28.816254448324187,23.741151322706372,24.150477076727604,25.052609114856395,27.452959939867014,23.956496879844828,21.730501314691974,25.108762035068917,24.558048905548713,18.87141480023693,21.0616907098835,25.20522191003678,24.372965286578818,21.722508867372557,20.611783744363613,19.813714510686825],[27.076346951538532,26.44716727810408,26.468629644232823,22.05780652683398,22.616370267076483,18.800467035289724,16.171290617243116,16.882016669769076,12.214361713509122,9.687635689047243,8.529373652305901,12.439673776098743,12.489525395334415,7.86326992128113,10.966933756506013,14.06297247518428,13.712157293341782,16.41450881489294,18.84497956954688,22.296298903296908,25.01934183974632,29.24418010134512,29.9769318526948,30.19306915309719,27.90202077484689,23.435567852316705,22.753243196209713,18.877768584451438,18.38016628486551,18.340872372866297,17.933249862697906,19.885818609133604,22.111299778292132,24.902388195072813,24.061419678105135,22.35902105646863,23.458390750616786,24.39128808661572,25.559381544035315,32.02227215053076,29.09413608189821,27.70650226424813,32.05973506172458,33.26689636570448,35.291075306499096,36.074157103509414,39.81006088155715,38.016873034400845,35.58795261657247,41.05645803747158,41.98896949687647,43.135299826119315,42.7410742500882,37.42144743446308,40.05586413936063,41.317229475975125,37.322799425417635,36.088094441868094,40.0920789615405,41.53554685602135,36.392361057853996,35.513487684572716,32.64038805452597,33.99304616036737,32.98817797028026,29.401460396322687,25.42645587744076,21.966529735693154,18.72774400752676,15.41012636318341,14.614298427449016,16.200796227498152,17.891484945330692,22.209866907149596,21.583613508264822,27.60933148809983,27.97716541425163,30.459910194085783,30.669653707576998,32.98843766232107,32.04504101548183,33.14250171710381,32.06284102220299,34.169446577289975,30.926912064643723,28.22993968402343,28.263113507076447,28.383895225390756,26.3773758904256,28.212781871448914,24.758769208282096,26.389567065278438,22.89480822989177,21.383095599305456,17.047281795635527,16.48871582279904,12.495229515105473,17.468795632485232,16.863701129370728,20.89271794679773,21.80800945659203,24.55467730207836,25.17999610072399,26.781500638294474,30.954855645256373,28.34875149967655,32.59010228721316,33.38698841684637,30.91700484893517,28.95047222120332,25.141695206528173,22.605835840145897,18.074769415267713,17.78900705898677,13.72477518641581,14.856413286156423,15.197112825834699,17.668941874861254,17.946638547981802,14.651469949870938,12.29121681068856,10.201003721902937,12.445090525030324,12.516535554184069,13.161848546704316,18.33356149328157,20.85097469907268,23.077295747885195,26.60170711150327,29.323415846706013,31.791602751687247,35.42712070972677,35.40586561069971,34.12328221340559,31.30534342062623,26.84949484386077,27.68906966518385,24.41689118752333,22.387181565922923,22.467682477942418,23.719560390121195,25.88724422332948,22.536841240954757,21.421227509222284,23.39266023134023,20.36534206005954,18.946093091986384,18.020644413360404,19.697879261162534,17.029477809931862,20.696064703250475,18.52734123036496,23.392862816262966,22.78733514473851,20.47094731440294,21.19525073644247,18.47856721161339,21.767048257067106,20.04701448565755,23.563261341162505,23.605317884376124,23.218109491124483,24.120465968065318,27.156897239999136,30.013307632145242,30.15993408081001,33.44758928437092,36.3505466236862,35.42024753471198,31.448304958339545,31.033450064331745,27.461654422113575,28.814238093100514,28.764331988551152,27.881790308747146,28.34950484520518,24.67898428084127,29.937693029688745,30.522038662894673,32.52373729873249,33.06001954948075,30.333951892454746,35.499724705393994,38.189550311264846,35.28388935461839,35.94351409168419,33.121948150492685,38.35243185503379,37.34935161425724,39.776812799641945,41.9173979877936,39.17361788127035,39.837873222358326,38.214245394714276,39.28416524203318,40.57237333833691,36.60246800261287,38.204777321965885,37.05234915688478,34.42653104845071,38.43299488664445,35.89404404813163,32.35484632188414,35.51877473816663,37.80014234069815,33.42482752567729,32.484856268044865,36.82040275802103,37.08868091070333,32.2872076345845,34.718045002201706,37.35927610118894,33.672789610895585,32.34067217683904,37.13259548710622,37.22529985984493,41.68932732260871,42.6110952372337,41.6718418152789,44.437416144652005,48.643581195312315,52.02505821710423,53.402769033716964,52.70218091124577,50.35539084840087,51.60728745134022,48.00173585298584,52.10485999323759,52.37441655898473,46.20822738328556,47.49118392050608,51.753752130136846,48.609679275586544,45.37101840474958,47.658078905282274,49.464917417195856,45.81776723589647,42.646611808601335,40.542958111893846,40.116891516195594,43.32200090674726,43.086890416511906,43.395271572506985,45.86654826584611,41.71705918914545,39.624012168188386,42.36218706938984,40.90644887181046,36.320498008493104,37.63355840483918,39.047102071363035,36.461636994436006,35.38534370913131,40.445199213996034,39.94810389626148,36.05396934254258,39.32353473955248,43.13925351300504,42.792274109050126,44.74050190608302,42.910493551042926,46.97421265012591,46.94491721914418,41.58101689247067,44.286008363499704,47.112214312648725,44.5663187590142,42.31578578436753,48.250095392301205,48.42066325304802,43.25380131895621,44.48094415063434,49.7452378025324,48.84583927531851,45.049656375926155,40.84705817412683,45.340905191074334,41.69785159868089,42.60524155966922,37.333621595013014,36.073289531804555,31.610157792423294,32.41421714148014,33.19757930096122,36.3108858393703,35.47613820430892,36.051674483754965,30.649052367097283,31.670862191136123,26.539850498025476,27.289724828926467,28.732465767361866,31.259706051088912,28.002596695929064,25.414744691487147,28.655617880140458,28.398308103716296,22.72180979528878,24.31514093981521,28.60225803515446,28.032796832995263,25.48651300699101,24.490807040697057,23.833088705577207],[22.01482489406394,21.86505097061363,22.644174119703287,18.686275845831037,20.303153418591307,15.443952714571928,13.907450584253095,14.6938193418327,9.94747359504954,9.93040469937747,9.462382132898878,12.457314165489608,14.255365004743503,10.857141415395967,14.391718663664465,17.147292088640608,17.419178635800968,20.906676363786534,23.930589040544014,26.92669278905019,30.043460736948184,34.08180849225099,35.090521706855924,35.1938818362129,32.599097298905996,28.21514290445558,26.974740851031882,22.845179693648795,22.2090546252568,21.352938098817095,21.787517008092127,22.417175854778,24.656110114874647,28.204247955268663,27.321709873818016,26.148112383169718,26.333328252285504,28.019925832263414,29.061653089275516,35.37953839239801,32.79413143540268,31.996171538522265,36.3900110580308,37.3098607206864,39.40041969094225,39.750023260945845,43.65274434646557,41.984735518509105,39.03539105972186,44.37311957813011,45.54507789437307,46.38530811201166,46.28314447023623,40.78963355316847,43.521339512225666,45.189786719565205,41.40306279870619,39.99074499877102,44.099228415428094,45.85078133053554,40.92216574358242,40.19778665342026,37.241207465062274,39.05495196248949,37.91275963356376,34.09127415664783,30.618471112765686,26.91678980714494,24.147626463861492,20.65800997938686,20.221747749793806,21.895009082223492,23.260146126008404,27.65204649272337,26.50212650505515,32.43693002766512,32.60486014755808,34.713803107980326,34.75616882165377,37.02747050595103,35.45441863361665,36.37378673867714,34.548241835413094,36.632393972338335,33.67186961199729,31.071025785287652,31.88441559970477,31.532972558054386,30.41032674757678,31.917976670776326,28.909726347015688,30.71589273238504,26.948715232517372,24.806763239706793,20.322661878999366,19.540381683209883,15.41225693576992,19.427546116096803,17.83124362184823,20.475372312854248,22.823838150493625,24.38606654198079,26.2223670391702,26.77993078838088,31.331756856040133,28.08567802169339,31.864835742011582,32.67647188873394,29.64814725203853,27.676499054571405,23.574014111136403,22.17189471756402,17.419143698205904,18.327587805799713,15.481733329487728,17.152751862808795,18.664047808280284,21.339453692983366,22.75294400422708,19.351632565203904,16.959880314046384,14.104962696839735,15.304327237661255,14.100944886919002,13.094594181345029,18.34600558248631,19.228267389180377,22.470240499125875,25.83995402186237,29.146151471997875,31.26444814469553,34.91025391717726,35.59511390617581,34.42835017017838,31.817007691362228,27.464904331834266,27.628441670609458,25.274899102605502,23.803032229611397,24.40011942055615,26.488612296974978,29.377780873845918,26.265153063211606,24.522857320833882,26.632469155935546,23.4563143158101,21.537709528154036,19.864355038162344,20.51433627866411,16.915144602808397,19.58695349972274,16.748074638744665,21.527857394604208,19.903002682096265,18.684268882022756,20.27461218966216,18.341582946276375,21.36032539832381,20.942516577165456,23.912286658023195,24.861217410967885,25.53432158903373,26.5025969356359,29.810872973441946,32.275436595577766,32.3962588134319,35.159309028313245,38.18439493288216,36.64443646539986,32.850307691316544,32.167262584711594,28.98815403979175,30.433051101776584,30.448034393209216,29.686052080948606,29.683542409787727,26.453785905769198,31.489094100698434,32.53840457398891,34.04447549502512,34.870682091563125,31.19888300977658,36.52832831617996,39.44461433411581,36.77172487701753,38.244463970894294,35.96709835966005,41.1956076224525,40.304312338829696,42.18064527146473,44.01785193439481,40.995970396343814,41.13242715892944,39.06892235850348,39.69809968627777,40.47777210664113,36.20247751793025,37.32173998876773,35.56195162355822,32.7871862814869,36.24444743363514,33.46943363431163,30.041832761624914,32.91472246114349,34.795785065930545,30.18025911320829,29.372357497020054,33.405749896792045,33.277426373667836,28.322621379727245,30.71113550193852,33.060630146925654,29.12867552531291,27.867034624783837,32.63105045716401,33.1239470527076,37.30123927297336,38.92948263628901,38.01799938050803,40.51877710430486,45.02087350879228,48.071148181497605,49.86665881874081,49.27370062971554,47.26193434759139,48.761167948529916,45.43708003961118,49.801750701967094,49.80394819643729,43.76459153830545,45.45087713432049,49.78915756632698,46.52052879045247,43.555713601634245,46.27473554802325,47.88734536009278,44.04574668930983,41.54940154996235,38.754094784656104,38.697950497544156,41.65438239624638,40.81365355838596,41.24606774266866,43.296983765303125,39.436536551259344,37.2923698372309,39.358871878336494,37.920848748551876,33.47226400128546,34.376583294900165,35.369751350063765,32.61950814677848,31.467157849737603,36.412913905187516,35.615188867880654,31.495039770688237,34.88356183602216,38.72287982346701,38.64704358478936,40.899286311470874,39.48227450664714,43.67963738878725,43.249033807569404,38.063513173091486,41.231377892584916,43.86848304081347,41.2022165855271,39.4895427149438,45.4913332648173,45.389735091390506,40.38863477385943,42.13321624923868,47.23038232478806,46.14026796053162,42.44582590458644,38.09208139228672,42.66438194998734,38.92838985646418,39.244033820732426,34.045648900312024,32.71572401350218,28.000903194155953,29.165283014690974,30.382636531698044,33.81036378138048,33.31518408213609,33.624529645206,28.483275610263608,29.909234708090867,24.871944056105214,24.59174568104725,26.170416620664383,28.1817747602149,24.999611448148933,22.420731640083677,24.9240214728975,24.378209244140944,19.059839998050638,20.142854127511765,24.016365425111232,23.292635408117164,20.839951201375513,19.959835153764793,19.68729840458981],[22.13823918145683,21.866980613336107,22.056498662627163,19.036206559457465,19.620974945173966,14.065529664356548,11.9839628933642,11.311363124495745,6.45578088762299,7.176625141276682,5.953776596801282,7.854485894342158,10.88954744370471,8.922618500893174,11.703194570209781,14.019605526097516,15.30342336860227,19.053973457747922,22.997512478206513,25.30206401064556,28.875977459530386,32.6630652299863,34.19989338550409,34.640104856769476,31.670206215292282,27.472537562548023,25.66698373220151,21.363778502687307,19.959904530712336,18.24287346200747,18.955907491151155,18.61558656658659,20.77524460812211,24.74311373710604,23.872188432127555,23.26881703400293,22.886230999625795,25.456617086110118,26.799499894330282,32.870306611348894,31.062799583553897,30.29132908513313,34.52675480072502,35.4909910875503,37.977411598339415,38.316417208001816,42.20121638742224,40.197545320837264,37.05905926447257,42.41016942732972,43.288188062811834,43.82933201288889,43.65264310212917,38.12075844837687,40.620856065350225,42.58096175986414,39.033035432634925,37.26044400242074,41.302021066206855,43.48042862727895,38.77871966698253,37.973518793867875,34.85780770961956,37.28664258599515,36.160092896314495,32.06966935657457,29.293639348806277,25.21097090231679,23.317739611582393,19.536656180611594,19.89351642605397,22.010931936041732,22.395571307333274,26.691413619026356,24.67870312788286,30.40975944477878,30.28011273364898,31.937712168989737,31.85251173932062,34.17417759843796,32.15950967306441,33.22678974125957,30.951814164815637,33.369193551900885,30.804653670602768,27.922129110929053,29.0877981918065,28.118089341194075,27.65041195240387,28.688586788959118,26.139005141918908,28.20308091519075,24.29975837182443,21.681878973166654,17.154299841338204,16.591357461358033,12.461635070454415,15.409558260100708,13.346472298900375,15.591678579988061,18.283215216021688,19.709972987419558,21.936748851122225,22.56074380519469,27.534809354071392,24.56253763744841,28.318658066869343,29.62669782413815,26.8925265739007,24.406854406971497,20.737805764821562,19.350592911792518,14.687808624206061,16.365444102607384,13.65519751672505,16.312338122967024,17.727181023324324,21.22699501942222,22.601936247816113,18.526309629685425,16.895726418046735,13.762753338681733,15.750151915762777,13.94855723593316,12.284608595664176,17.276060142947728,17.4603341330512,20.498356449523563,23.64246739994853,26.458482563924097,29.261743820933024,32.47853786728229,33.38497930750369,31.64051959332254,29.761113538917765,25.520022998068647,26.40432987667617,24.436396567683403,23.54525909093131,23.47748459496375,26.446894843982633,29.073874819529472,25.606176264050458,23.51804403761567,25.083509355015337,21.36276379183469,19.661668579129064,17.159239223140908,17.364974930621266,13.426107409892644,15.706310547457361,12.33263460495345,16.914482765712496,15.41330684579723,13.814596088439718,15.415326585108124,13.739076521300124,16.98913141396199,16.90089985343962,20.28404030534466,22.096390939381834,22.75187993845223,24.655159575834833,27.49913527304779,30.32337347307493,31.294992371927503,33.657931275524334,37.084592468520604,35.628466150637664,32.03295279046099,30.88004788318453,27.59994368291899,28.292972010574992,27.79551248780949,26.60496719293721,26.073046329322622,22.780215563349756,27.49487861075008,29.078397203440158,30.454408432872057,31.881986386982796,28.05889017012385,33.627340708867614,36.7649155819396,34.34839136046964,35.831024114494184,33.7158160372124,39.00179196138796,38.7294662747502,40.299280444912746,42.27886805256102,38.99683698679724,39.2629183661997,37.18886117025041,37.75583689949133,38.65677924826383,34.59381718230544,35.386177268407465,33.85239129284271,30.60742984304094,34.09739793704976,30.943986256981933,27.82331819729104,31.265875701435473,32.80222533462875,28.20992332277834,28.333229471458914,32.12180399840502,31.431827789766174,27.134840490294874,29.943061275327114,32.038479541051515,28.019261390877535,27.523046533459787,32.386407592153624,32.918125373384,36.669289169374885,38.69802391938703,37.240225924956114,39.50279219438018,43.78799670684499,46.798460697769755,48.39557829267281,47.336949918562524,45.18411016051172,46.35879016014838,42.80244944746004,47.241811224952976,47.63850470893882,41.692608501164926,43.06005933421224,47.686150267746946,44.77032960743306,41.646776041774736,44.22868464496662,46.37623519531095,42.742582457793326,39.93322520601532,37.07957708564753,36.29819187689266,39.08461199091197,38.16865139851362,38.14683783493946,40.04487039494801,35.95864886061026,34.25765052329915,36.391914420251474,34.548772560021845,30.24859789175104,31.688007050666645,32.50584175882853,29.731519539377775,29.11765998989051,34.05411232545908,33.18563238860231,29.431648926702987,33.132051013157366,36.814521566991324,36.85941283879981,38.742612678882246,37.09108396257247,41.34967744476085,41.36704425064506,36.34752883619993,39.22490429765906,42.23466797711517,39.858176939435275,38.02794469621983,43.94975376424606,44.36440675648314,39.54152769750078,40.98206068579517,46.16947732908511,45.53821137816546,42.00629078637832,37.8987864885023,42.7863997079546,39.43035362788665,39.50932743533734,34.44747467887672,32.48414282054844,27.85034350957515,29.72029018132349,30.597575796712015,34.079768471221705,33.15024871721139,32.8309392785027,27.50211366204392,28.273844990448957,23.336939840879047,22.913641816312133,23.484858827482498,25.426516924246105,21.72827456139456,19.89390105346913,22.85359607043369,21.782711455952906,16.35983870860646,18.715819450889114,22.377158700416587,21.099125778765988,18.35534798407717,17.08325950140318,16.379598929561624],[25.450032755434233,25.70341573945849,26.55103602293256,23.390603724036026,24.575538373734485,18.96096345632185,17.178587161817568,16.422724833816854,11.655899248548447,11.7927155090559,9.455929034662631,11.003036825895899,14.48335925171287,11.774901617568608,13.215237646333817,16.1710872321557,17.971061966336563,20.86513996194644,24.54093584809701,27.327873172306788,30.52062404947462,34.57252227171307,35.85405946917074,36.55002937204637,33.96610785907771,29.645157331143697,28.415215336472524,24.271469317663836,22.610495655576102,21.084795314098862,20.068268285296,20.7539986576778,21.990130759785426,25.671542919378147,25.64232907217002,25.26123765184421,25.628548438467938,28.293119854280814,30.01459230768367,36.179101540404524,34.320028175597386,32.88712533272503,37.03287525688955,38.38924236097574,40.92182350524498,41.67769887215668,45.409888496314004,43.20617937744165,40.52316971279996,46.0033695770945,46.560666037930034,47.25526307031407,46.719786168287115,41.31479168658715,43.524453758791715,45.24894583370705,41.57379492349333,39.6706142365356,43.48021297846923,45.654671634580154,40.74668330759588,39.3724299864404,36.020025938584276,38.19002840828677,37.608149342579566,33.69428641885381,30.32560105715285,26.25038685195444,23.939115360004863,19.826094828326266,19.986120579713916,21.212629207951807,21.825215069778057,26.549691312767596,24.942846087399218,30.35119763206459,31.16614415794038,32.613815688345966,33.21648460563287,36.030818452654366,34.49624082625691,36.134553663488155,34.196876088756596,37.01703029765541,34.46655680642063,31.238219957714584,31.776539810771194,30.609603899391136,29.49980079016194,29.867876078827187,26.872797487553814,28.06493051376218,24.100874067751164,21.683502691667595,17.632136313377043,15.962628535354225,12.415399564563902,16.51369663585767,15.373443174604231,17.753745405365034,20.92042127766128,23.272321291782628,25.46413897113634,26.815388738343366,32.03283607337086,29.415295269980938,33.22073518073108,34.71719344342254,32.083944868088786,29.4723283421355,25.93100677869213,24.45686012160985,19.829511242007193,21.232495354042925,17.92600593744695,20.29594768359788,21.03359541887805,24.32901666796376,24.685258508207653,20.634999501602273,19.032762184406288,16.52282870858617,19.031280048980577,17.97909593776936,17.00123055893415,22.168358748010615,22.67294484743754,25.673255018083392,28.852845177926234,31.550025409700094,34.4562224307009,37.6604983972203,38.46241693495883,36.610567354436874,34.752121482966,30.458104675147062,31.43112972335649,29.14498147444528,27.89378627590905,27.793916227363177,30.15815676406955,32.439488885154724,28.831180537724716,27.20724599077211,28.69940475815807,24.93474265738462,23.6135847870273,21.36362373113352,21.985431524729677,18.24994814905267,20.54346685645494,16.75446753830509,20.767200443640235,18.336999864775517,16.431653844756607,18.709197777905622,17.47474617055999,21.229652985309503,20.850032453430416,24.898121550740854,26.68306918681407,26.708760090109735,28.82034447539873,31.43988946348589,34.60132073548341,35.57249041444986,38.231329714683696,41.57788790213773,40.33428369288894,36.6184461554837,35.63672189293962,32.201314725517236,32.868353974026,32.24469658661357,30.81346875871982,30.23646948293747,26.531902508730532,31.10214001562853,32.90427247672975,34.53888904393052,36.16368979580787,32.730389992572924,38.332663867734546,41.44802438329243,38.97773697185796,40.03875032114392,37.58566538061896,42.914232794202526,42.64944919376552,44.55182830158133,46.709659308836045,43.53764100809441,44.03591123645932,42.10500372720224,42.79634103701554,43.80004262671732,39.75951073209304,40.61764495422501,39.07780740209449,35.838646564597546,39.25860723789178,36.027443793859774,32.97563147647112,36.341679255685435,37.759068341063816,33.093588659544906,33.193100159351204,36.893546070131706,36.01220362515513,31.63266182050528,34.3362972736847,36.26284014559532,32.06517168690492,31.5008047898723,36.28452478608435,37.0885038785831,40.7390319415064,43.09071182644993,41.80212120420154,43.956385355012515,48.42076407370788,51.22794889399007,53.0763728898224,52.066905706327084,50.061477983816744,51.28266279153523,47.78173879237178,52.29741708924267,52.68132141163112,46.7876728139285,48.206322922483615,52.86238329365496,49.93200324848431,46.85307083332893,49.463298301700746,51.576093503135425,47.9027171279111,45.15680385621739,42.28214424031517,41.518995094370375,44.26214976597341,43.23827739648714,43.11098224713791,44.802421295045995,40.71238716026269,39.2176536960016,41.118677001557664,39.07319035011907,34.966523645931034,36.41988803212433,36.88455966452967,33.97656684865221,33.544878301294276,38.351293701278124,37.15291351528902,33.31368403667838,37.213320104757,40.86800494104312,41.18134260278664,43.22257074899001,41.78500145037347,46.109556025801815,45.972934688480684,41.078052166739205,44.140280418425604,47.073481179497406,44.63481689566096,43.01479152342459,48.95223980500026,49.21553024804379,44.41647846254834,46.038806054188875,51.169491260056105,50.38713796395337,46.83644722683907,42.61418454889388,47.39290751223408,43.84472712436441,43.84462012453828,38.75868301667976,37.03261714896597,32.2803962431339,33.979940848483885,35.14184844600744,38.667853083403394,37.969123509437935,37.8030683826413,32.559628394911016,33.47869450887577,28.532026733447353,27.99076671606166,28.54480675723391,30.27127660369521,26.4353616844618,24.874337866375406,27.51797049294503,26.104063533231113,20.99721586173284,23.158362593311942,26.402088023778187,24.734553156462923,21.9411943597119,20.41036294813455,19.763966899911914],[24.499719300128785,25.005673256583812,26.39972106154706,22.95985384729776,24.924574770366064,19.438698022450904,18.210595593175114,18.137460210292303,13.383301671057469,13.822612876589513,12.139787847203644,14.106665201199753,17.23036487702972,14.075188809181316,16.16301354407849,19.20617972472392,20.481103233492405,23.42194856422041,26.662069955099525,29.752316671378814,32.75933445570709,36.91448503381746,37.93877609790738,38.403896224903725,35.97884426135537,31.56938830126734,30.54562688698399,26.447645811488805,25.216296054242807,24.011211757655165,23.148254494437435,24.04244700860046,25.39821020779922,28.987378661101648,28.888210791298317,28.267155122492586,28.723296132497115,31.028186886130946,32.53221379944992,38.80757637963785,36.574080538878626,35.266948538149904,39.51662701998353,40.77389722632574,43.087771518300364,43.75095211948066,47.53126777347275,45.5537364006458,42.8591294916043,48.300946893183365,49.08736156602821,49.88487999601419,49.46583341573567,44.04021572896946,46.417667532475825,48.068329927918434,44.30208707461468,42.577253160061765,46.45482164746059,48.44390807415748,43.452674623026546,42.17554795404894,38.91309955450873,40.80942934703881,40.17785838907844,36.377006699757004,32.711431495532054,28.832186204241346,26.095533422987998,22.16990877345341,21.90142034622632,22.87289444006418,24.048680120550777,28.80520514095388,27.631170035939842,33.12975453123859,34.05061239332423,35.69665360457254,36.31198971177926,39.06175259686487,37.63269897618242,39.12052364105421,37.25982763897679,39.86923522401368,37.15211554389848,34.11926239863808,34.653084981839775,33.755313569634396,32.484659144542285,33.09573903241149,29.955356379245664,31.05633765238445,27.157036232631782,24.9180276475025,20.88488081029688,19.16383295435372,15.642367297518435,19.950353143045366,18.75948282785975,20.96886709936856,24.240448338980663,26.288956679024277,28.56515330013336,29.5785774265817,34.652565895970795,31.711068460491095,35.41514077424013,36.643419911473366,33.71040063828604,31.372172910518213,27.528992608513335,26.329689228239843,21.60612245274587,22.902429711065153,19.80983422892725,21.77860371596813,22.8003004077532,25.673432051719235,26.274875856323135,22.606483835212284,20.563321322900133,18.078829390625085,19.970156176992752,19.00911923401862,18.038068134370665,23.278450593810366,23.738917002765163,27.06936228630327,30.31805571908449,33.41342180169917,35.865557430974945,39.29886598503746,40.15395006928938,38.64751744679657,36.44047502718362,32.11689001730927,32.54971399801741,30.278534457879353,28.84828959390981,29.208645807294445,31.262049317446536,33.8318188335872,30.47955922132118,28.91824856457707,30.742540202096563,27.25377505547753,25.694864156581893,23.72472955799764,24.336522965604836,20.54411989586434,22.801433812961147,19.13074746731685,23.27354202151342,20.54009881706542,19.21576393863018,21.6577514308569,20.443540656985995,23.965769362335195,23.74442350159377,27.402349832427472,28.93533115936602,29.23257990953973,30.83415109012246,33.77855049475641,36.64435870751801,37.13503865244186,39.894180130109916,43.0415753103212,41.61275140556477,37.835615275046834,37.0521468637785,33.76719962640551,34.8653331336289,34.542004641705006,33.383593167761354,32.9950044676985,29.445766686406483,34.15671979285063,35.75500166097825,37.338082326875906,38.68649916976184,35.09998732464162,40.61278012787028,43.66065503328553,41.10153112162305,42.353593530459385,39.937082630716525,45.23453647480285,44.640050420828715,46.58970718082631,48.594878027765304,45.504094993887975,45.803337487193836,43.77423691988198,44.393463682767184,45.2044693154688,40.97835940520864,41.8917381848773,40.07772050327009,37.05871167554067,40.30854298039057,37.22190738719049,34.04516273036417,37.02116605809843,38.50451692288272,33.774321057311944,33.425205350050774,37.14507841598848,36.445932443545075,31.696850289009074,34.146410741677066,36.10069627383656,31.89199747583137,30.951566130088604,35.629706976251526,36.54266013367377,40.30883970983641,42.654355313424496,41.68366139950963,43.876966763237625,48.537522036433984,51.255376472901474,53.33956922196937,52.624114460140014,50.7988357795662,52.26926584958593,48.98041620270931,53.52351339113222,53.61325306693721,47.711915130175186,49.41526590379235,53.92671353124219,50.771256807340585,47.859156393930334,50.6548475621952,52.41677398398594,48.58513846101837,46.19331273075084,43.17714818144808,42.906068718285304,45.67376678050615,44.52853822557851,44.68380555779967,46.34137778836575,42.45861498829898,40.70777421455971,42.3813056763284,40.563266043163345,36.41832229838755,37.46579299090326,37.897934917792035,34.95729472838374,34.21945661449716,38.98073430237159,37.72467594401404,33.62689626746357,37.3886825778323,41.12324355149313,41.46047436946197,43.792235886710664,42.60997620265087,46.93341951872237,46.431540790473484,41.513906048078184,44.86137487500487,47.528894194564025,44.90269025902347,43.50821387931155,49.49155073028975,49.390636776212354,44.55731761230278,46.485846346787625,51.50536597642211,50.41491685270106,46.81521472221425,42.43387768592429,47.032524493630476,43.26131409353692,43.22187502661484,38.11720158722327,36.73404088491314,31.903866161654083,33.311102171994904,34.773556131262225,38.3277376591814,37.965360680739536,38.06855910405622,33.025569371377806,34.38688593060501,29.434938666199198,28.700997048500884,29.801025218891205,31.417115084669177,27.878887174091567,25.94293650359512,28.13148387959924,26.90090476977385,21.979609189232484,23.35160673324636,26.52619468729362,25.090726920797195,22.488026224062146,21.19816887424574,20.895315498293968],[20.244555238646683,21.008080152246055,22.69370988288443,19.977049003749098,22.270241573901657,16.212715197395013,15.784078154445535,15.562812586642835,11.387289608671486,13.479963058034278,12.564227422092749,13.747730431600823,17.49398251618679,15.329208278158964,17.895288418072212,20.436196470387586,21.831147414584063,25.3977621710941,29.06855394961745,31.695925226495525,35.08218570491821,39.013203839283,40.33880066556143,40.68787978173847,37.914247753329285,33.61318075976541,32.04935494799221,27.785248553360294,26.533970374784463,24.82863518787443,25.02681494960952,24.789040384377437,26.422216056466073,30.5015185380744,30.074528280200955,29.70947695056705,29.367201855555173,32.07997002462842,33.39866861258561,39.477685880403975,37.55031998077706,36.7983452974313,41.06801806325579,42.02546277346212,44.39579059118297,44.669403079097705,48.57885654871342,46.708070949548805,43.55504681210944,48.848405360711624,49.84276387774463,50.36909495409637,50.237456154122675,44.69393632183895,47.18812562622489,49.184386061735765,45.626677760413976,43.8162097104723,47.81378596340108,50.02370432027073,45.269514977474515,44.29116825587854,41.06756005095892,43.37870480875502,42.460221961543745,38.444908937247206,35.34574077721511,31.309993990515196,29.037564922148597,25.140289018686158,25.16750744322771,26.6406523739519,27.47832236775495,32.08363589500212,30.401816838776163,35.95523079602518,36.35276905281772,37.8282246478948,38.06780596033703,40.59241354482062,38.6022512499441,39.788571280302236,37.359666567555585,39.82362948241293,37.33980572062815,34.487776926467326,35.69289298975685,34.55595702676357,34.07213252935151,34.70732937621717,32.05072246524978,33.610298575859936,29.6109117034476,26.946485356189587,22.73603943960712,21.382997692813117,17.70076782525016,20.852095084074858,18.83052870539621,19.92079584202696,23.884650123277297,24.81163680252377,27.833156546712004,27.95529053005075,33.111713380522374,29.771944924951885,33.060467512241274,34.28741042932255,31.069265111471218,28.75081751708676,24.87111107256803,24.49248540696227,19.88265293096303,21.95950292221786,19.821353964091255,22.127371790178728,23.861152110578303,26.939709438694337,28.41733281682431,24.632552435210727,22.619056253699647,19.6106223199373,20.948732190202243,19.184195170895688,17.226048782703163,22.11827461373421,21.373094783563612,25.186578675177536,28.18314764550151,31.524602286925095,33.76702641289657,37.078984485668904,38.42735882983406,36.9699252413937,35.02291390149657,30.884733129033194,30.979216138990058,29.441818473444318,28.53551568412676,29.085655601391753,31.846876737046625,34.84821057030689,31.63999324101526,29.589239817592254,31.428466993994235,27.87898847134687,26.00002160723554,23.561744629999044,23.429810501939265,19.219016906804804,20.63271470603098,16.751270710836728,20.64863002205607,17.425644308502715,17.123691616841995,19.927061571516262,19.25431405835674,22.2915846622896,23.010096456794752,26.044024883430627,28.162587595974724,29.228913341071493,30.86241305823006,33.92899430471605,36.470661229806375,37.04854043576758,39.332873336069284,42.599578670649926,40.77651159734102,37.215167722512504,36.16891375664201,33.194908080067066,34.2400030965581,33.93802770100806,32.89826868333804,32.19992997807772,29.114564949020096,33.59855535889131,35.42941170167525,36.595812282115155,38.10104282866589,33.877947897841764,39.41063969360336,42.5898981888102,40.25343079970398,42.10243095910097,40.150475133912465,45.39518357923455,44.945252544538874,46.41386993483357,48.18813335748697,44.88778750357704,44.81604270578808,42.50004127976377,42.7947975578356,43.26695250539992,38.93646907100381,39.455253442978204,37.312181186090136,34.17082222576773,37.010172633305814,33.76948068474527,30.77389091124761,33.60293655962276,34.74357903285647,29.94726136742765,29.888403294283385,33.29343021319848,32.24730720831145,27.616787931518157,30.10707641984694,31.799087490283377,27.47746196668947,26.801648169343974,31.438549978639312,32.579822279971815,36.022803384214576,38.86142133781491,37.75690750474955,39.71666307673997,44.454228185835284,46.968922907282234,49.221327270471676,48.481486177250254,46.836460979888436,48.394679003476874,45.275042275407294,49.94689961485853,49.925612178998186,44.17008772292525,46.060363194467584,50.619338278015654,47.4770910659952,44.739213335545564,47.76001795814745,49.478744103991694,45.606708097357846,43.61252548420181,40.17689263880512,40.030186766356714,42.57700820156543,41.05050252961098,41.24372647062123,42.61852079438168,38.95496669555691,37.20856088429997,38.453154979998686,36.658227572171015,32.651664970607484,33.46805094679847,33.63825275634609,30.639435729325026,29.910567946179217,34.55505298273761,33.15223870008399,29.010686250488778,32.84424917761515,36.54139899351121,37.03286248645556,39.45256945541447,38.48218617556544,42.850078811625856,42.19246786498617,37.45243522649097,40.98716197712415,43.585078184472465,40.973913987216534,39.89337849906822,45.837825985398254,45.692762193672344,41.05284527713178,43.20339330230957,48.09162056026328,47.01669994514854,43.558976939460734,39.20789767326801,43.90404946681115,40.24686072432249,39.77299434453323,34.81905113781089,33.206194800425955,28.3291543299215,30.16788872522703,31.756674207183696,35.46338617552894,35.183319223995774,34.94138028731633,30.12337558152815,31.572737476663285,26.84016389975149,25.417540370198466,26.409276884745495,27.63379505977399,24.197801056311285,22.408274807234097,24.096291947705172,22.630697867893165,18.111308881292445,19.290269030430643,22.049295795513324,20.45836124626038,17.93738723995535,16.748037228293025,16.748704450639973],[22.3906740764568,23.774889043292664,25.988334560840713,23.886587705646793,26.4370706550183,20.076841716091394,19.982153416721157,19.17788665418749,15.348670572466572,17.67538916286531,16.195657244412494,16.556738142701338,21.092122571577903,19.213807762672488,20.917259746066915,23.493557826788813,25.54119596254323,28.802844015482034,32.66225782368582,35.26324675174969,38.6246832449298,42.58390347262953,43.97635380958406,44.567631825285154,41.85560902793765,37.561336693635205,36.06170195264968,31.804688182005865,30.156314283991,28.14383551767786,27.60104698584039,27.325124324878054,28.27863709528072,32.42776893381549,32.56030059530292,32.68224718588013,32.38396979631035,35.612252614270126,37.22547628994649,43.207118756576726,41.607858444803455,40.58958305018929,44.743162955712336,45.89063486362625,48.434993493482516,48.86609608772992,52.7042139831687,50.622603246331046,47.57640793245056,52.90841878021902,53.644245801461125,54.07350231590829,53.75375843879609,48.2557871036117,50.48596701486628,52.54383330621882,49.06138274241058,46.98950101205934,50.812174313580336,53.25706861165149,48.52596043342215,47.18286974631027,43.744161310374146,46.20239659448931,45.62465218349847,41.59953531019438,38.49123844615409,34.324290048242375,32.18391430770113,28.03437742352845,28.22588556350567,29.286889571204224,29.909997790616337,34.6884578001423,32.901614551765086,38.055580851188566,38.923545149599185,39.970643956835815,40.581370706405615,43.41579701525204,41.42537674024855,42.9876751524115,40.420036641736765,43.249590767489046,41.02062746353827,37.89479895953523,39.01680910268221,37.413619304533526,36.993829254633205,36.91627357421433,34.30727990010544,35.38824181728176,31.32512298508738,28.530933862007657,24.758743254508584,22.804690107687804,19.72875743970324,22.67829868463935,20.86915728562781,21.22903879235002,26.021182667519287,27.049628414410773,30.53751328833292,30.82429265274873,36.334747931029085,33.20011864191197,36.28526025624649,37.83096387962106,34.67018887680542,32.106894896281894,28.50487089568291,28.432887005409086,23.95806953335995,26.34772474159833,24.17664122974325,26.677780966471758,28.19108626757972,31.415215870427325,32.49538572095469,28.531965605235605,26.733229692038112,23.885065672932512,25.562144988254047,23.873656266056376,21.8877818150791,26.702301326978603,25.540063768520813,29.419207289817756,32.24390579700165,35.43469001680266,37.86355586108353,40.95698144424307,42.53243134237362,40.833984204353555,39.26100902487293,35.20493277356515,35.42904308439643,34.07296163484983,33.266098424281786,33.69119606957863,36.52570427986639,39.384011081088396,36.0345169561283,34.03332033336973,35.68203614173237,31.922338104855807,30.246032273090456,27.566465959349234,27.3009757365315,22.989032022888995,23.917751830589907,19.52512510389991,22.6096448584094,18.366605358864696,18.315437634771563,21.839712862588012,21.923737453707915,25.142659830058452,26.181430429636194,29.54924163538552,32.17155452090473,33.09097503618211,35.166312861144,37.98328062826498,40.748305843023836,41.60480832250325,43.79794689150788,47.170454701706234,45.35468474907414,41.851547266066326,40.69041281691465,37.70440278947529,38.48996529077318,37.94551588641941,36.639416391131704,35.58950531246423,32.393494156872514,36.51269310233269,38.81145081284823,39.93681967022898,41.873961476913024,37.61802501047787,43.25368450175641,46.5462290906924,44.35610345639905,46.15228592574068,44.19546105378914,49.4682482989364,49.274166634287845,50.697710290558774,52.54827692010681,49.159811568773584,49.133566642903226,46.79062511949707,47.00727333489392,47.426039883559575,43.135028032300916,43.404724307047715,41.16014250044456,37.83649258007656,40.37052506643059,36.88115409038297,34.18738477443299,37.01146218393337,37.716234673220185,32.89733061304806,33.28062689178674,36.28240824085709,34.67094771537274,30.356133632621273,32.83794914218586,34.070170037537814,29.57607013637583,29.269749675976794,33.691460484169525,35.24855710917822,38.17375095279643,41.74172635236011,40.577689238391024,42.17395756810372,47.02060519232806,49.14521477665846,51.69259717829595,50.85134054062677,49.446399281359454,50.993582934474325,47.987741466914294,52.8087983258576,52.82889168586058,47.28576490153286,49.22672751332329,53.907557256099075,50.88506577221743,48.26120120640267,51.38205623459257,53.19640420725764,49.34560839155933,47.55309785713221,43.86546649391052,43.58158424140918,45.891694377119784,44.022205134202075,43.98570209718988,44.91458231736444,41.34343936343998,39.9685110478974,40.7239187122304,38.62095900203829,35.0046351144071,35.86353037212757,35.43981542813962,32.31169063777342,31.985918790541923,36.31751623854598,34.458163974157564,30.420602496785307,34.53533533604007,38.04867690710811,38.96888404402128,41.457007096508036,40.78423001130175,45.218030688958734,44.450845499563584,40.06896694451418,43.770178534454615,46.33823804891945,43.79264002757151,43.088919866698824,48.94436010833537,48.77981331487105,44.380054844086004,46.72722114619675,51.47178234105656,50.399304176595386,47.08531291770238,42.757339820920606,47.446123974701464,43.81353697049537,42.93925312153888,38.1660209060631,36.49350733155517,31.602186197031966,33.68378196229219,35.481520274907886,39.274283284006465,39.131561686025144,38.661796567298275,34.04313822976514,35.44747325023338,30.89619473454104,29.022272687188,29.589929734886006,30.35228101155088,26.745668312353107,25.589346889841757,26.828070971263863,24.749910703920676,20.916851474570947,22.21533584702536,24.10876021807976,21.8700899665048,19.3791485844931,17.89651683461379,17.976822402548397],[21.673243000820104,23.594776129901103,26.150202869702177,25.261065815235554,27.88770971927346,21.206362883221196,21.80909568999462,20.421793288859895,17.616020093318998,20.8889909030798,19.617814464905116,18.960566830480435,24.073093438078146,23.1132541672312,24.5487984936686,26.692016764451637,29.1708355265827,32.61450988865425,36.88321569656821,39.05950150150069,42.679703535142295,46.43534002955112,48.130920998721,48.81405623175555,45.86581867224931,41.70593844102672,39.83204404385607,35.51311690824108,33.59039848252694,31.04779892922344,30.857065812599558,29.70151778991492,30.42098712518827,34.884860924551624,35.09355225112754,35.72480839049499,34.8408105801852,38.67381662495002,40.3334262060556,46.00079065009951,44.92661800712765,44.154656535078,48.19354439880826,49.233493437398316,51.948140296607406,52.1915453070911,56.04706202864591,53.88685093567355,50.57812010243614,55.77758142340832,56.461498043436535,56.58815826691153,56.358989950712925,50.851925665636585,52.95733789053241,55.3253784755279,52.105076066883626,49.79168667532752,53.55234182312027,56.33176021928881,51.858002829604494,50.52844435940959,47.01271176327632,49.907161969578546,49.315407727093,45.13656327257057,42.532113540931476,38.192483126687826,36.545687816154086,32.31133599207564,32.84280595229591,34.07665054322735,34.27145367852575,38.9714529638713,36.71368348087253,41.60914441124304,42.30520174633889,42.9287322569001,43.44651812074335,46.25888613788432,43.83215955405093,45.389021636196105,42.30900428794798,45.245608358276215,43.42833065742011,40.29154871461398,41.86472100659484,39.776832365926424,40.03954084757235,39.52950165362352,37.3967001930581,38.5614932619266,34.457609430988285,31.31670674458602,27.773163163792965,25.863064157961073,23.121185357616046,24.95213106352884,22.74736243630567,21.713230418285036,27.336961563073018,27.499625304113145,31.767187200616796,31.481188877090013,37.16786285572356,33.99918040755694,36.53300738743154,38.32765026676298,35.12347297103992,32.41249202001051,29.179208469896178,29.911764029972524,25.827332339800538,28.897307592769046,27.404516484545894,30.2342536836441,32.015783755242055,35.483918589195746,36.88493097229312,32.730037193679436,31.155746405966113,28.10239926732041,29.68394530514976,27.553175379116738,24.99142799347481,29.320118763758362,27.066460474847823,31.126930858911148,33.53540286344673,36.63920611458308,39.07883646459513,41.80361956031312,43.89184344738764,42.019018176945636,41.01426583408415,37.24691144561612,37.419315794045026,36.7512480090337,36.4404453926707,36.81663262743145,40.224234672239,43.214548794936576,39.86860141443214,37.56326078366721,39.02204003161812,35.111613406954845,33.40407320085141,30.273797326904912,29.392850861457173,24.913373490540767,24.821073763923767,20.179919904557575,22.18656862817097,17.044970610248956,18.09159429537926,22.150207806025193,23.19620803913344,25.99375252409949,27.915686542347103,30.946126775337323,34.313922055750545,35.647951023958576,38.069297643733535,40.71168095223294,43.38527265127996,44.57466197094494,46.29754324144966,49.836702377534415,47.78722756052751,44.546278599844214,43.08153503986403,40.337546981633864,40.8108644238999,40.0755421849549,38.663898883377065,37.13066950109549,34.28602576958771,37.85659748526046,40.63393954282713,41.38570731186238,43.75026019191701,39.07929449232079,44.711275908836285,48.1499009295931,46.2854290583397,48.45326913656791,46.8730718045993,52.06965728294686,52.223483259852735,53.218314444970765,54.953418086615606,51.35645231420508,51.11316063482457,48.57678866985967,48.49665977602513,48.64933078574658,44.414603126150745,44.17250689550132,41.7014189683491,38.15629635723471,40.11513007139287,36.345414024496954,34.13626434676829,36.87112753148382,36.91836016342352,32.16944324688423,33.26326967217912,35.60671140657404,33.229839120413835,29.521823652496472,32.04177596379545,32.635674519569186,28.03742206481554,28.418153495044994,32.53489777548847,34.5329772036163,36.662831606805426,41.15281861518784,39.740073142873094,40.81106209430756,45.66723688702029,47.31667024844289,50.12952429253629,49.10236604945855,47.99901657707228,49.52030978998835,46.725234882904175,51.70241274329065,51.74291379362104,46.55701686741858,48.58722115569198,53.38176147001276,50.55976663034576,48.15315770016315,51.44100087707515,53.36565569896507,49.59195033441214,48.19555435445161,44.078945289267146,43.66938976989505,45.575323092314505,43.18753436348641,42.935286691119984,43.2699537393478,39.96935604148996,38.97593899192034,39.02105749708594,36.672890523211535,33.58246515898841,34.360927123765386,33.238843876503545,30.03606679516173,30.15768098095866,34.03201750382258,31.71378892977558,27.909661682792475,32.274983896338576,35.502382553272554,36.88814333902214,39.3706444489457,39.055317197861626,43.50872609089265,42.64478224091116,38.7813979965923,42.618775432488555,45.14704819364936,42.76447692631006,42.55489708114726,48.20636460170444,48.10859037818448,44.127108639206135,46.6715253901064,51.171387055159144,50.22626489026378,47.19709210235544,43.03164499493263,47.78266982209699,44.39183958354325,42.89845786816127,38.48136310421237,36.49418217644836,31.716255436105367,34.36701610177571,36.26665512544662,40.148318894507575,40.06405561630179,39.07908684959535,34.83641774691553,36.11924283286242,32.00233586621291,29.371595838010247,29.36117420503709,29.428568013945274,25.844371700424556,25.46159481692582,25.986113209484124,23.22885021358586,20.50982977896082,21.884695341016734,22.599144555721367,19.674034253531943,17.387215614123843,15.770026189130403,16.146967776967152],[21.722870232523285,23.979965245664026,27.198709333105786,25.88249910650579,29.327787712135354,23.02505368804576,23.99568562891998,23.406157660845462,20.326137981245203,23.35387712541934,22.31901732751016,22.41261623400433,27.078377778904724,25.42024344746119,27.33617730474327,29.786148349101506,31.79394718550992,35.21726973934513,39.06167232271409,41.64183241064527,45.044322526553124,48.97893752562321,50.368824654618635,50.844189559453866,48.10146080234292,43.80653273250442,42.221714054080934,37.93631620144547,36.40391185791767,34.26987280100376,33.98728185298707,33.35689670061166,34.22944637344818,38.53009542297221,38.6977069065293,38.976606406858025,38.39144084934564,41.76812102035259,43.26183203391107,49.15448915247947,47.59545028252468,46.8303562960716,51.01085544520376,52.01722234206665,54.50371605802291,54.72790632886624,58.62967815190148,56.68319331254266,53.438743348953544,58.65840766777811,59.56072457466871,59.868586796912254,59.70941846588353,54.17113048444376,56.45866139438397,58.67281457138914,55.27506603698254,53.16911704321072,57.01623365474983,59.54896869201601,54.89641590722115,53.609245876832574,50.15703376692596,52.69305023606206,52.091170363541316,48.03583415250679,44.988567514007585,40.82171212105404,38.66230638744711,34.53737548794925,34.654164672830184,35.614937074806484,36.36031762237885,41.16374648598782,39.38957085368108,44.46002279321505,45.35736695096362,46.26970726387704,46.86975398502615,49.680740858015156,47.48612297127401,48.95008574845038,46.09283615627615,48.837594860138516,46.74590056607985,43.75069773254702,45.16257845344799,43.43106783320777,43.31010210809307,43.102419522061,40.65024136190114,41.67665628753504,37.59787697839222,34.69758854274923,31.051819818918002,29.01921147672792,26.11324040683113,28.669792253857334,26.627768880498124,26.103674257441483,31.448560923952112,31.728178001503494,35.7747270826717,35.416807236890754,40.90809666335406,37.46610458359743,40.03863283896129,41.49066748638654,38.01537197729642,35.645086673132745,32.05605535525051,32.82076134285153,28.57106208735087,31.31882991435787,29.765572050744872,32.185021694204565,34.08530859665526,37.15417496624486,38.62798322016131,34.79718367709051,32.83267374112581,29.871684338461296,31.049764153977442,29.13772653074171,26.776980877166924,31.24224046994193,29.24568524513288,33.523976453395676,36.079832323301645,39.572877477597174,41.54176815562661,44.568568646548414,46.58544088662336,45.10527090663943,43.62075386157341,39.764857169588076,39.42695216812953,38.61923265280838,38.02456287358042,38.82404487499441,41.79062000829548,44.99284159309841,41.85973081243446,39.70012247643266,41.49256600552087,37.831536840891985,35.94814032125964,33.17874232092396,32.509867807517736,28.056502239665555,28.29593632630351,23.918669002287572,26.36799537027754,21.433519253575163,22.534744425779504,26.427290329445896,27.094603908437726,29.86835735365516,31.573908968880126,34.422192779897145,37.33499284896393,38.75255545714237,40.65461035616655,43.62935780464192,46.083382229518556,46.74435079816429,48.681202039825145,51.98046204983852,49.80598111726686,46.45506509858979,45.260433259901255,42.60545653234974,43.55674044258237,43.143173291454474,41.99467768702895,40.77097362726269,37.92083873629561,41.802493250896056,44.267282821393955,45.096633293371426,47.09689746287884,42.40835194085774,47.95417622337382,51.28834005528146,49.25449683000584,51.49771722381373,49.83609186667353,55.03949355298802,54.79625897423485,55.95257824974544,57.57098330825803,54.10538618620006,53.720569944879884,51.13478274745391,51.04755247967766,51.05330491036356,46.63060080727808,46.551023883245804,43.83510013180119,40.61039670388513,42.45950637429637,38.95120368103457,36.53863612522072,38.794038651059395,39.019373020526174,34.253397246906985,34.67072015374735,37.08066110446834,35.07114258203151,30.871169727835955,32.9893200675539,33.65840365994018,29.141334339456694,28.922147971714097,32.81589672966363,34.92904782208814,37.235759944039096,41.61442644590686,40.677968883017876,41.83219068651947,46.91014622093167,48.46061702989286,51.551112223293494,50.94793162512316,50.05643053533611,51.88560084497336,49.34756963062459,54.29561577172666,53.971202664899764,48.76572841093471,51.110396367450484,55.68178713777327,52.57550100443371,50.35330230625694,53.810909482983455,55.292973565217835,51.34030164232911,50.30640868164427,46.126925986416666,46.30723961131751,48.301980438739506,45.88350254516352,46.002402147712985,46.396223350981636,43.32537696067887,41.977042183008116,41.87165404817864,39.873514343526516,36.69360847939398,36.98097324541194,35.9421890832519,32.77530530996551,32.428607559896236,36.22089256339858,33.9162736286574,29.806518911192352,33.854150372439015,37.16381840481748,38.52333354518997,41.37265265265798,41.35774300122952,45.75342457748705,44.426909412880946,40.5236608380163,44.66968254357817,46.833054838758656,44.20912579023247,44.23701733289892,49.921045804024885,49.343294671792584,45.30830396804431,48.19580186209839,52.54974427966301,51.198486448734776,48.10087846088298,43.751704867985076,48.21346686127521,44.5383919420326,43.04707884312226,38.633802141368335,37.160857226055406,32.34528709281892,34.519241235085346,36.77945234315322,40.63741118965204,40.97066245676737,40.391813431189966,36.39085886417266,38.18151431152647,34.02824772542963,31.368588369310036,32.08476431012919,32.16153805352218,28.9996794535192,28.040465817640225,28.140297298360167,25.80870937345762,23.20957207006684,23.564569372841234,24.290165235477886,21.893827466863137,19.9737502676984,18.81079985301849,19.511669558456084],[23.598024541089423,26.19034118331701,29.575753675095655,28.984693211628827,32.38483223492579,25.955590823602506,27.16468002038249,26.15615984934168,23.53441021388741,26.8649573132384,25.71781887148487,25.242069163806736,30.28273506538571,29.05747257658849,30.601355921934598,32.87820999792533,35.258953089607516,38.64791033231646,42.73570740629778,45.11448768097734,48.62157874658845,52.47206519015423,54.02763096687562,54.64236444135214,51.81190046307161,47.57930098940596,45.85143959649178,41.54222583999107,39.75034812677582,37.30597275733731,36.920941928554186,35.93252105354695,36.475869592191444,40.88231023527731,41.27158824510645,41.92625868658797,41.1232541666885,44.91669867597327,46.53878163897092,52.251862123224164,51.04925109873904,50.28240271549302,54.364561299807086,55.40205761319268,58.03589531727395,58.24628308394625,62.12529206021321,60.05335862403826,56.74178117835505,61.91852585384059,62.68655654538139,62.824086478907056,62.62567736572745,57.115662698247434,59.237332537759066,61.60016365599918,58.35485614584093,56.04796810047377,59.788296207916964,62.55388826669698,58.03197682844268,56.615826784437715,53.05883385249845,55.83905537737885,55.35734150185465,51.23546863746766,48.41735871107787,44.133836589026046,42.248824011889226,38.01023164173872,38.33954634777559,39.26212068450923,39.726308527697235,44.53267526669962,42.51056738791007,47.31030364671815,48.28727448227744,48.85868694362082,49.546592358981705,52.449914587201775,50.077518996416515,51.67507305562938,48.56815544803919,51.487010017455084,49.67253330517199,46.57577994451315,48.1350395928574,46.03764517313307,46.22489420355421,45.58283237816539,43.36687961161383,44.26278115467687,40.17621887066468,37.11373318091754,33.74113144127956,31.57377260922138,29.017315358291984,31.04139930847523,28.957870174798213,27.70378739915928,33.510429966785814,33.49777527425073,37.9437772125876,37.441785366340156,43.07722473126765,39.749906488713094,42.00894134783647,43.6834426389362,40.26897471556133,37.75880752690845,34.48088432771494,35.61598403208009,31.594989124727817,34.67066597032505,33.3281869347737,35.95845804259594,37.864897360665175,41.11251826017308,42.56300975268266,38.568762302931106,36.78713848870075,33.78818727977669,35.09410984514422,33.03609605961506,30.472554584331313,34.73730722908171,32.24680320056849,36.539127428175505,38.854711721547574,42.20086918549694,44.266486736434146,47.02566522147294,49.31898936746926,47.65997431331123,46.57336860262993,42.8762487486158,42.61711540919319,42.132242342137886,41.77455359650239,42.46740835175769,45.70650693726805,48.88595634418674,45.68037522210067,43.414052318459994,45.042241893997094,41.23672506063981,39.428440008163854,36.401830276223535,35.470669049359785,30.967664185044878,30.6939217370279,26.15444805600749,27.86414461616568,22.458259469871646,23.982667088684465,28.162685606456595,29.40866002869735,32.04762418476608,34.15116495940322,36.97853446645114,40.339600834564365,41.83951692756105,44.056508432454784,46.846981696929085,49.36167392860188,50.29212193945711,51.99895627700779,55.41591341775864,53.16987838460611,49.955577284307886,48.583981343518886,46.01043328911284,46.71027389570678,46.11468983479982,44.81674746355208,43.27433462621146,40.534455002715966,44.03313852114973,46.852850757175,47.515153167264444,49.85315106524108,45.01972729942828,50.57883819112771,54.006159925443015,52.17214606648885,54.52615856099013,53.016995457209006,58.191595422912684,58.21193817415878,59.17007680447367,60.77837471876542,57.19387470256638,56.75356723314053,54.09386399008536,53.862345875698374,53.75464350873564,49.40614225502835,49.01959918771195,46.21503970912602,42.84036614094137,44.327957842830706,40.63678323786027,38.583098564722974,40.80251574773678,40.569166458105805,35.908925719417525,36.82313655131941,38.7575142807258,36.20644027789612,32.51972212428374,34.62297581706962,34.80025687527495,30.284259516497066,30.557369832385696,34.12976960524376,36.56167197997075,38.2316554104273,43.27198364556071,42.18779293921912,42.92957771852945,47.97987762288091,49.12205933811049,52.42133227313107,51.67927386059002,51.03023477428581,52.81060220466047,50.43048723094596,55.46408395079956,55.18651453700532,50.27619083448868,52.641311540898776,57.287764698462716,54.357404289419584,52.28035168411642,55.812564007881875,57.39864522295883,53.52570419739301,52.71660480627408,48.299601281274235,48.33256813858457,50.044104365229764,47.293762353670104,47.20650381565051,47.14718971335002,44.266155547718995,43.26784162264128,42.66068008572467,40.44515371227752,37.72065424267282,38.00535862055602,36.42525990880862,33.24699646172329,33.29437558817015,36.654552093877015,33.98471682546817,30.159114169188562,34.338905385169134,37.35072091240832,39.095963746867156,41.910204992346536,42.17715966594351,46.54772378212083,45.16504039792225,41.710290366092586,45.91205054846666,48.03596088159854,45.55696528318658,45.94274954790165,51.43908899600541,50.91401735756266,47.20640864927637,50.206951129273634,54.367667884747874,53.10926428115017,50.22586898464064,46.01129709607472,50.471663006920295,46.9666090658363,45.06439030187199,40.93641506169323,39.29272436545679,34.607927703803,37.10260633030851,39.41806774560569,43.29915714635295,43.66908364825019,42.77039759902626,39.01971807718801,40.6826603479961,36.8063505237683,33.751904423697475,34.02743071201983,33.65533785218593,30.497548424944643,30.121567748167475,29.810343888439892,27.026005535539078,25.203786953534546,25.689707249657697,25.586337127331145,22.736423706683766,21.031167700829045,19.784310718746937,20.56156408597929],[24.81689966795283,27.755372925023135,31.669722385530694,31.129124728141218,35.096548634711716,29.003963783899476,30.60748162882868,30.026923806054306,27.46695287808377,30.79962796919197,29.86086909019162,29.679941128987096,34.52280746589588,33.02872630914461,34.8525841776848,37.239644128969346,39.37602187936986,42.798630553508616,46.67009768672622,49.23752698045374,52.646960159669575,56.575818419028806,57.97664796642904,58.44872952343283,55.71498790017213,51.420317428067506,49.81200912956431,45.51811147841803,43.95326127811691,41.68044316338386,41.33681610874744,40.50958895516736,41.12776320404868,45.49227077854846,45.853724025472815,46.36619993480593,45.63097387304531,49.23010283529078,50.731161781920136,56.52924414502521,55.09252286416702,54.405761906704754,58.56566898260676,59.544911861736615,62.04351659253839,62.180491732698854,66.09990886769039,64.18079831244422,60.84197725758557,65.99149507771723,66.92456792259063,67.11935471102555,67.00758641849782,61.46762817755756,63.69422584625435,66.02739234197874,62.72145416715537,60.51250740898911,64.30513233248043,66.9718169908068,62.38269136154084,61.009054620719525,57.48522321927078,60.10522039125485,59.606214629535295,55.53648758612792,52.51795796662687,48.32496105989512,46.186023227186205,42.0188779963504,42.128118205778755,42.90012310609484,43.66442465727185,48.51573436940436,46.73648984124218,51.607650621444606,52.67825483853513,53.36570296205538,54.08142634483457,56.969668796552014,54.65449315244012,56.170484679150235,53.09483093476539,55.884521969320716,53.96942897406437,50.987685935652316,52.548562482472136,50.60176242304201,50.681547311166305,50.17155866691705,47.84057556591722,48.668625381412475,44.59465782171531,41.625912416057226,38.22048369474159,36.00091749848975,33.385788373476984,35.659598979398545,33.58999158974731,32.402575717447455,38.1683504522578,38.02530216292516,42.48285554388072,41.77557851386651,47.28276623443963,43.74659695986395,45.87029871187022,47.33310969683891,43.718044265850835,41.45454813345419,38.03797970901124,39.39634146767625,35.383248248730666,38.368896123658885,37.15766936611058,39.559481041097506,41.61405404443037,44.61595975272623,46.206415989905,42.41603795552936,40.40969194977148,37.43735728106934,38.419199273572026,36.42379272177103,33.888471461542636,38.08665214970961,35.53192244846302,39.98833911450052,42.282229497428794,45.88125841350573,47.56243780242834,50.43642601120689,52.81275856811776,51.42639399047618,50.127362052296576,46.4628567391591,45.790595175429196,45.39517024242364,44.959883035161035,45.96368648885545,49.006605749657936,52.37715326580899,49.34887672966487,47.11612699068188,48.94444198474651,45.29674327287866,43.35093645386045,40.48551442755637,39.55929253526426,35.056777839642926,34.78432019763165,30.415699247238038,32.18741836161748,26.813807080586376,28.584816834602275,32.72179961877222,33.898670132296125,36.408807342665334,38.55754173798893,41.15391539534882,44.35110955607042,46.02246069836717,47.92842351879869,50.92294489213305,53.233264132014725,53.83751876376826,55.57134167925794,58.83354961792807,56.42234939569843,53.21226475692498,51.97421440998056,49.553215487451794,50.53672269755714,50.14135634325815,49.02393086101396,47.59531532512115,44.95212523700611,48.54226064944892,51.2401417161592,51.85782051652792,54.020836549022675,49.06787715476453,54.5397380787609,57.916126150478384,56.046975352999844,58.56747977150459,57.105499073382575,62.25746891176002,62.05325368430352,63.01199163318657,64.48608246127617,60.95202083218267,60.33409507966666,57.583772024649214,57.25579482540367,56.94509111961689,52.48332214062855,52.07428031041835,49.020228092725276,45.872968877414,47.07355783589187,43.55432523237134,41.51168201966303,43.278893619946004,42.982232361349624,38.41003443471349,38.97720559120811,40.7092789479342,38.25854677895888,34.450749867097116,36.16763012539609,36.17043621570221,31.820767543826875,31.814452687758337,34.954034957616756,37.60006534451804,39.077195905290615,44.27791336210633,43.54840012253905,44.15317024454563,49.331308055884264,50.18088502095377,53.80117393602412,53.38310669283265,53.042972076438396,55.07053990902495,53.013655602578936,58.03200715632339,57.44154718679906,52.68577709481327,55.33161304274707,59.78699929148021,56.7007841372765,54.87553465306874,58.58284054274248,59.812523564930856,55.84126000672994,55.480904642807054,50.90727249078244,51.393710615901576,53.03628088843386,50.11559360859189,50.27246966513693,50.068575733573965,47.50055629454733,46.33700474804797,45.378541856608955,43.41040039600167,40.81713224955559,40.66400728946244,38.95039278238582,35.844320304415746,35.64498224780107,38.699099216406,35.935304397230595,32.0340743838448,35.90591770899951,38.808913093511194,40.67292825031072,43.76263411942771,44.41997917987268,48.685712429671376,46.87367219010181,43.62724478146762,48.085930440098345,49.84660038790803,47.24565424851826,48.01132753911736,53.399696506838566,52.47696889698259,48.919924201115954,52.2552485431032,56.1585979039209,54.59698298095606,51.788775316946115,47.525009497297305,51.69211402271517,48.06862573797375,45.965321037270094,42.04734255376502,40.77420480745103,36.201528189603586,38.42725012786824,41.038526318815535,44.8630079045312,45.605071745851035,44.8900684623649,41.51514685110307,43.52943147007423,39.80052774064965,36.55308147697299,37.22439074233729,36.66397093925837,33.900967156901515,33.30394043995749,32.4676165144925,29.892499684033606,28.516675704561276,28.254382488218695,27.7997343906913,25.278718344383723,23.99675392871602,23.10477951793105,24.123341753837064],[25.301813009820506,28.312520347416267,32.088659729672486,32.190030091411984,35.86212782958006,29.613223261738057,31.31237161818454,30.303116308567706,28.18543921685422,31.819417602847196,30.85438862084135,30.158059548881905,35.266513231074356,34.27547901534021,35.84354112123617,37.99070233688044,40.42438939278722,43.89962585846589,48.063243488473425,50.33870234590969,53.915468846526515,57.70641562106073,59.33203158055986,59.923143279104806,57.02639976907884,52.827391180459415,50.9847043195853,46.66071913370672,44.85985939727041,42.27438798201584,42.06034894628048,40.772459328999844,41.23244168346695,45.724484261317926,46.141546064250754,46.96354729553017,45.92770105561257,49.89333330129376,51.47163769879288,57.05334711574411,55.99823482450754,55.39270608106709,59.45299552702915,60.40901331207598,63.05775762361936,63.133683608962336,67.04080630162828,65.00845779927731,61.551281222505814,66.63452371786278,67.46006979191489,67.46469203252903,67.35937547242257,61.854407097661785,63.95774814167748,66.44907840648827,63.320057568274954,60.946784152236134,64.66412806040508,67.54423246930808,63.12702780384957,61.73505765506772,58.15870191491942,61.07043524506522,60.57947311186676,56.41472374990682,53.73767650331213,49.42137771161989,47.63782770351382,43.39251050300269,43.76414859902493,44.690149182574736,45.10816738201003,49.90334401876454,47.78587067400029,52.48501380870722,53.43340258132507,53.848586703359636,54.5094350031532,57.3891971646742,54.83654109324852,56.38493101137085,53.050439291956295,55.93915650866515,54.298191738425686,51.27060581408361,53.04490857627903,50.79156988968937,51.25479270302502,50.46265881654587,48.42736423060406,49.315925214156465,45.23570710069631,42.08016855557907,38.821663865708416,36.65795673294011,34.228693018409125,35.90368284413689,33.6974702009122,31.89749648549841,37.937759843083505,37.44161644118204,42.204554440027096,41.312945460540874,46.888078058952026,43.4753313004347,45.32643841696897,46.99517006844696,43.492583157211676,41.08400068679032,37.98738680805879,39.631137264782346,35.86059305831156,39.160062119430535,38.1923141201185,40.83893508183169,42.931191154944216,46.161961600515085,47.826265196723796,43.843685321412444,42.050240155710924,38.97606433738645,40.087945496660424,37.8780202336397,35.102145467806686,39.079245955358516,36.08034182163364,40.47532296879715,42.53368594497138,45.93307181193932,47.76757671798189,50.355515196616714,52.95965276720314,51.37075563338383,50.4839440734074,46.98495824414162,46.479326027140765,46.398239156252416,46.24521427556781,47.07199407137676,50.47434096881993,53.80898303145505,50.69796390605224,48.30986274538287,49.94520369003319,46.16163682531536,44.277994530457185,41.14565395261049,39.944382108531045,35.42489875484374,34.69090305998215,30.25177387944337,31.42302803714495,25.83956833852559,27.945751550928314,32.19620289455074,33.81415616157896,36.13490324986518,38.63968887148105,41.146120557971486,44.74827801990266,46.525490619686614,48.737496151399746,51.534564238455125,53.88664547850221,54.81155085498728,56.27908895213511,59.685013476131765,57.23466471628494,54.1797435936962,52.72768712724935,50.37594921657847,51.06274443598764,50.479910907325284,49.232568171453465,47.51739706490868,45.029243170314935,48.26373808039388,51.24387747045326,51.682551619779055,54.13776831995108,49.05892784570344,54.51967824384521,57.974520425821105,56.30951093535296,58.937615876728934,57.659136744317806,62.760086137731086,62.85121871283281,63.57512511487824,65.04059166570433,61.385347973599636,60.732799041118554,57.93218757555524,57.48295402294514,57.11193639768795,52.76746784871964,52.080755352709666,49.03398698529449,45.70789900802678,46.66523452801159,42.96995761493111,41.248187794292605,43.106576795056384,42.43598536687852,37.973245054989974,39.08468646195586,40.45425998074583,37.531093374793194,34.25565310581622,36.08680565635552,35.72886454269561,31.383589204695166,31.923721691989435,34.916805714695066,37.71792397170921,38.69043009939356,44.36301344820619,43.351518227052544,43.64175173143471,48.70136845185664,49.30407224628289,52.9540412608982,52.30079061312249,52.060188087597965,53.95296783440644,51.9442943083449,57.0090540298812,56.55773482277779,52.03355850889628,54.5956868059735,59.15113392369474,56.28563878769555,54.51622951864117,58.220821816360555,59.651968625112715,55.80280976904906,55.501114781722016,50.78401814584706,51.00527656299777,52.41216941102894,49.27299276114885,49.19741397572371,48.66322595195373,46.19960872605947,45.36255150912859,44.08987133566991,41.91033554067009,39.67660111429804,39.629815873373815,37.53707035678865,34.44639025246434,34.63452629792501,37.387664171582315,34.39490279284076,30.813259414556374,34.83358286266264,37.487167002237605,39.60976209684465,42.54180955864372,43.299993809856026,47.541240792938346,45.841776724787216,42.931997746584344,47.312255255629594,49.152710196484826,46.743108916866014,47.67652621960159,52.903387976756555,52.18509218253787,48.88623934991148,52.173129489078434,55.97961990164202,54.63329149947343,52.00666293826038,47.916419052232676,52.187303796690266,48.80673308578049,46.420634950350475,42.70551248560819,41.11609923718901,36.662673902339414,39.28568477635156,41.790663574205745,45.633814097591426,46.24624782025981,45.16421632975467,41.9073598997136,43.67570508904083,40.18367183692592,36.668957779456164,36.84973820261002,35.97095015300965,33.16716872864839,33.09642372841397,32.0756123497717,29.12346958048734,28.2892710626831,28.344828583380355,27.329811568253596,24.413501047248896,23.238730131593123,22.262082027716925,23.286662344605663],[23.141719001133165,26.259650407176267,30.044221188361917,30.800778332079517,34.40008270285332,28.29190894456353,30.355485462674995,29.30062531262203,27.77995949652872,31.788331193535925,31.165482449469305,30.24814157902013,35.29387585140296,34.708893416489865,36.47266151643265,38.36265701851252,40.72914149081353,44.44164698000619,48.74483147970847,50.77075201860951,54.514816209588055,58.15535666087949,59.93223049873026,60.442237074840484,57.363038091641165,53.260248817777544,51.154375748461376,46.81473980940341,45.062612524289385,42.32629471249002,42.69371681721765,40.91122951901103,41.590513221797806,46.239395031435514,46.39118879340181,47.26023355620405,45.83672295213924,49.88147058130411,51.31368872963857,56.706297674099496,55.81526041584102,55.53454306523931,59.5727761020264,60.33107256759825,62.973941240459894,62.81769119830773,66.76231042763565,64.82284713651248,61.13373131735939,66.06662572250549,67.02410513782131,66.87417098887241,66.96119061374394,61.44143008890305,63.626446331283624,66.28846836168145,63.296409822431045,60.92665959951888,64.7063916666936,67.65951199204424,63.40984453816964,62.252734977433406,58.75700053523704,61.862869613205994,61.157176666700565,56.903534024520745,54.548363242394196,50.19509814114913,48.63251867969198,44.450530829365285,44.93596552117276,46.16954429057063,46.45715909801696,51.14504295592157,48.79784155798795,53.58543554972306,54.16106394581121,54.5629199412802,54.94661380067074,57.62486062214297,54.78912540066664,56.098436301251084,52.51185865198139,55.22812726044235,53.73055904741323,50.88248323771475,52.9982561371846,50.707746966314225,51.572917447626146,50.917525396485495,49.14452374727446,50.35835083075527,46.265767776595375,42.96115451214977,39.58328109626475,37.72103114872854,35.152050421474314,36.34316787811834,33.815603976971474,31.58433679901046,37.65093502376547,36.52379481191064,41.50445628832329,40.10736261278803,45.51418676289706,41.97626208464706,43.479918968712695,45.09312222881619,41.540559878360554,39.24012797400003,36.30651410396266,38.38755033235133,34.911171794759674,38.44727208066906,37.971884586844126,40.68115139939433,43.02958590288706,46.29977707965631,48.360401882005974,44.37183527962517,42.6166246736882,39.37526750039321,40.253655998967055,37.77018574657331,34.696702765202126,38.28255320979594,34.763746556800704,39.18297542649572,40.97934063465004,44.37980581072829,46.035609480558165,48.4475388933424,51.294340850426146,49.77029098055798,49.07914476964919,45.79890390189689,45.1413752165046,45.48254747966753,45.6260309493485,46.4988998403513,50.20523275517786,53.69062253755057,50.693583397770965,48.09975854749856,49.70515772627265,45.977442645432085,43.98244517260363,40.72666780642282,39.1999495221155,34.703048325934056,33.52227228397645,29.295722394724613,30.124304264805605,24.62519347716301,27.300867675550563,31.441237558909794,33.2616881465496,35.160757344307754,38.0580253456554,40.098704526462726,43.88442905256969,46.01903722135258,48.18173588766052,50.982295771567586,53.10255508420373,54.07147324536307,55.23432821734962,58.65310145409459,56.03055141897172,53.17171882841152,51.59024435308477,49.466705394206976,50.09353699377547,49.537563580451646,48.39720224755315,46.568615111149796,44.422807722457904,47.46397993270933,50.46996095111691,50.65645131041874,53.12316750345757,47.80185567118906,53.128196497323366,56.58557238946932,55.08771254644192,58.0157101778733,57.02658034178389,62.01878379705761,62.19124200322034,62.62154817486544,63.93021284352323,60.20537638623817,59.34721580799903,56.431112620656144,55.79434864523627,55.225531386771074,50.93379913273528,49.99555779799399,46.82559823065402,43.50954954591191,44.12265224128258,40.425341284966834,38.94578201796221,40.62571122031864,39.66824406447521,35.3525696460686,36.71613073286758,37.71818504187873,34.538385350999775,31.610993689645355,33.384199935307564,32.722008064062074,28.46774781131088,29.338792788045687,32.08931012807301,35.026651064106595,35.59062586154341,41.594241990169685,40.46002318993881,40.504443282192625,45.49761872190883,45.90621892980358,49.62228561566435,48.933184609914626,48.83792561766371,50.74878316044859,48.90730874310128,53.971318559250506,53.46180108401626,49.148105843181526,51.77989958458238,56.29108846827708,53.50813050490138,51.895407339295105,55.670061370613,57.071140561111946,53.28529616800414,53.245198021766164,48.357050561523586,48.630008218131216,49.83338619237215,46.48500660947348,46.426455704007104,45.67063851455867,43.45338855204996,42.66406933430578,41.05498639125889,38.94658100681888,36.951696463164105,36.71082885127307,34.395805403832696,31.37202700490427,31.624107504789468,34.085974448907756,30.987710811246536,27.545430936971414,31.508452730755813,33.999193072227925,36.262914230732704,39.1864464372665,40.128698681766,44.298680149531805,42.51938010699595,39.875247433379094,44.279354857582916,46.03348644958754,43.71503198193431,44.88167677857007,49.94076032751777,49.239026869453056,46.18319717989361,49.53227331059671,53.1640143918312,51.894162917084294,49.44057055997595,45.500071897969356,49.75989853060775,46.5829788586008,43.91787637924212,40.44931537321949,38.69319677869335,34.41804368476351,37.30347623945597,39.77565358313812,43.58861109481594,44.205977890421956,42.8749085795598,39.911413405500916,41.6356321102293,38.468631766288816,34.64057539986003,34.6700992871231,33.4681896992093,30.93689425816,31.07634251230068,29.627118638068225,26.578635592913574,26.418133940478594,26.287543709271976,24.692386471169197,21.72601421048677,20.893634922381572,20.151937195358208,21.39574285408082],[20.146937360101465,23.21274763296337,27.134644665405688,27.388577425557166,31.26397873870459,25.274166547213394,27.38368255164776,26.784761802883878,25.008551457002884,28.914953516445767,28.50956448310804,28.059697517301473,32.79246437909022,31.867454058789846,34.04616402397127,36.068289514466045,38.063631652859854,41.86789386492483,45.94347162530161,48.152227299532605,51.81548711934762,55.52995937561485,57.147376525352875,57.48631288079136,54.476451065907405,50.31461302375815,48.315603821652495,43.98661794123903,42.51788593366082,40.050934120932915,40.608871410018,39.08272672123551,40.09748768749588,44.69775322003667,44.61827348101825,45.13886735827493,43.85649899455141,47.51911293414558,48.791145133552405,54.3541775437754,53.1040040056152,52.897431672824055,57.04872008003555,57.7278385801874,60.201721856469504,60.00237907723101,63.987461895643875,62.21623906442346,58.543546053577614,63.4926247431427,64.63728950774222,64.63811156749674,64.8103991321197,59.24100028651091,61.63395892851292,64.18721902139752,61.04277680225451,58.87339077031068,62.78857308740931,65.51626347913103,61.14567147899854,60.1485341916821,56.75734306094443,59.6385721263435,58.78957616653485,54.58914473843865,52.02831307440989,47.78260058832612,45.95644464957529,41.891562539942015,42.16687742114521,43.4448526947153,44.017037045094895,48.70198672799266,46.58614499015399,51.6461179968968,52.1290886390634,52.85594767588235,53.13564768248813,55.71298611254062,53.002576266020895,54.14352205849291,50.74140770618814,53.258771419901954,51.49617388899376,48.779547107231316,50.82363434615291,48.881025318461845,49.506483691754774,49.27754981757054,47.29806916356108,48.65410018264263,44.551231863075095,41.367788398039835,37.717272277880745,35.98154388401832,33.0810532573956,34.6996378555394,32.13339563539856,30.43952744359312,36.19357802540674,35.19537433085521,39.90840683077219,38.50623386689315,43.78051019824172,40.025476817897236,41.75728546979219,43.108934566358855,39.39244571615773,37.28131686463442,33.994105612382064,35.90407767708374,32.23806840901775,35.550600689031256,35.03036511818937,37.526413127436314,39.97158511183775,43.038988276835894,45.23782869712137,41.43332186618832,39.470903022277454,36.229055509702704,36.86283608303659,34.44734525970527,31.459691586278606,35.14205359378006,31.88456692668859,36.40711331656733,38.39336309504165,42.03704913058749,43.483647668567386,46.17851353008029,48.84349665092265,47.560268940726594,46.462598183223,43.057937126302875,42.18094590738523,42.33544267491666,42.30641311578689,43.368058042226906,46.85402785720502,50.44973690578923,47.57835412987026,45.042047987182706,46.84516147236869,43.28096641382947,41.15426921543302,38.12227044269084,36.75349072973155,32.25549148158123,31.426354840065027,27.343249315495946,28.820784780515858,23.603029711601348,26.121347489909724,30.084233279373976,31.445407682132743,33.39235556329272,36.04909974948397,37.99382889787223,41.39759283884816,43.57938119241334,45.382589543293776,48.415787573759474,50.39825258308909,51.044985583892014,52.38235282610859,55.66765426021519,53.02809021618613,50.06133172682673,48.64786413090455,46.518398342334486,47.44413779657293,47.109538779329995,46.16199861374828,44.623272118726916,42.437615338499896,45.84421386138199,48.51901908843111,48.813567677663805,50.939375729886486,45.65069532759801,50.95891179014114,54.336721523858145,52.65840023660402,55.58563641672237,54.50773376735729,59.521897671328325,59.411132784486966,59.98198723073421,61.24694362309278,57.6246518792648,56.730151388971045,53.8276276105895,53.27029369487381,52.72094373824957,48.30335937247172,47.60943697321166,44.40476416563645,41.26048308510305,42.111482714769394,38.59079028678276,36.765780210469565,38.35543245671264,37.790826965810126,33.32644222672295,34.15646115168738,35.54852003600913,32.86101822831188,29.329034095571444,31.04668994475726,30.799730706860164,26.468761396817214,26.80386169510848,29.83059632868252,32.586482433037474,33.7437261282095,39.24669616966825,38.32928339705351,38.74570063411544,43.87294441510184,44.63805798093178,48.26206762750327,47.78725012214447,47.5301627444628,49.58111608757282,47.65650086266503,52.67917003941699,52.02660154560631,47.42776600155323,50.14944901017893,54.569409920696295,51.54947992303293,49.862426125367826,53.651574235455946,54.858486629441195,50.94348256676157,50.84054758901464,46.07232164944632,46.62658337374933,48.077965627243316,44.95804801000239,45.17761807258455,44.82199273827324,42.48606901489351,41.287140628583415,40.04796785059947,38.20805551233275,35.75776541167663,35.37443088528015,33.53192351542365,30.474127637605683,30.243014289595134,33.12625404774926,30.330126806488806,26.450796021741496,30.297569545279647,33.14323069196986,35.06772987192338,38.157728450115094,38.933382091438325,43.158243868625924,41.29195145243126,38.20886134270028,42.69563076327298,44.40754693371311,41.881607543575846,42.82648396964615,48.091081431152816,47.22213803949212,43.86289143740309,47.239820529176676,51.01223593943692,49.56149549466444,46.909309141448176,42.79089194978641,47.02400365736602,43.630400825473515,41.24383324987595,37.52725902785023,35.98992886432819,31.552463834836377,34.151556811711465,36.698243758340496,40.52741422203213,41.224665666260016,40.200313124180376,37.10341508862371,39.0696584481071,35.692233030453195,32.05772475736343,32.6044259892896,31.72363591187374,29.26987149311027,28.81651918300916,27.50779337258026,24.864366395595784,24.163992090911076,23.639105205514884,22.611245857649333,20.06754518393288,19.121825102389096,18.54048854016407,19.901801273271598],[18.874318573804835,21.51521797003989,24.906945073652732,24.886850585199674,28.27832914519775,21.939635288357717,23.65271336396647,22.761605908599417,20.828675957442268,24.720606081134044,24.194087229181005,23.615205212351185,28.434392964826934,27.651757409368738,29.703995657444207,31.663725636539343,33.76960688075429,37.56236002928764,41.75447621738915,43.857113172242244,47.5717847795815,51.24444380752183,52.94517328480707,53.36747024244292,50.3075843553393,46.17919166198325,44.11916432856324,39.780010997022536,38.18437302314994,35.645079237349904,36.2118231679526,34.62637571783605,35.673191254165104,40.28492075136199,40.16727539259872,40.71061311593627,39.421851035161446,43.14833003956954,44.49208514601119,50.043793070555715,48.89688712688841,48.61331872016919,52.72498552981012,53.462585975524824,56.02184623641067,55.900786047289316,59.86016710343845,57.980387879583844,54.34944126823276,59.352345352879375,60.382741191687515,60.38716522753449,60.483753583801025,54.91827710616862,57.24421364184937,59.786724701938034,56.657838635887636,54.45453663456834,58.3476777333985,61.10857940427497,56.75384756651169,55.741776820128315,52.348178331629484,55.29557529885844,54.44098936400579,50.213145649078534,47.75753860419448,43.47131285666244,41.78888590611995,37.703453462358326,38.10703023697179,39.51524150034262,39.91082724993186,44.54733921283119,42.29771985206818,47.358119751667246,47.7459502971868,48.463299733219685,48.70044225762593,51.26861874418368,48.560420017602254,49.745446804657746,46.37734718645309,48.970659490727606,47.21140385580674,44.41510664696594,46.418098207242565,44.440364098494484,45.07495256013582,44.848632784073686,42.904689515764495,44.34864029325749,40.24473074735252,37.028967068617504,33.336449001569534,31.696899054420033,28.756365045055688,30.2705090327586,27.67630210529829,26.08580951236433,31.780742199816114,30.950554273892482,35.577649670705604,34.38189569766216,39.76739466605839,36.142393543260766,38.100983753362726,39.59625236156305,36.02310953342935,33.7053869292127,30.427263713090912,32.046285024803005,28.282469959116575,31.615883835465322,30.932652946064593,33.58244317902664,35.90680669051884,39.14334906188445,41.22524799883408,37.293419366751614,35.474793731075415,32.21718237690494,33.08917462203377,30.64657548863254,27.666390096116906,31.476187758007256,28.380154783010646,32.7936046846009,34.88368517716512,38.36142642336723,40.1401610561442,42.82697004072546,45.34462440696349,43.85829500173196,42.830416839777264,39.33274951199975,38.800627685615446,38.77563016980547,38.744570278170315,39.57123453029507,43.15770498146062,46.595113421853135,43.584909180131866,41.045954569184886,42.72301828605061,39.0515778335694,37.017341980661406,33.89964464968269,32.58299858660632,28.066331424212972,27.353250544154356,23.11927994348983,24.75406807845039,19.558831625627413,21.824628136062827,25.78157376292193,27.065237112306953,29.16196144628628,31.701894844647686,33.86168438596138,37.30927178609137,39.32861213100982,41.326142000186955,44.23880597880247,46.394671787142556,47.25378026375335,48.645074112430706,52.044602339717265,49.56811479470522,46.54211007858308,45.06030085523855,42.76042718121453,43.50901278547326,43.044033828496474,41.9731025356695,40.41504739562643,38.104403975319414,41.54835467032118,44.24319014054756,44.62774608252516,46.824855249828374,41.66216359779242,47.073296851661915,50.483220853292764,48.77085216043493,51.521422993683345,50.34788625843871,55.40610357363498,55.40594249275156,56.04636977769025,57.44253022007121,53.80026302773707,53.08761403766715,50.280093165270145,49.854752906404116,49.52541317771189,45.167226069416905,44.587782622377986,41.627368931485094,38.2991728442126,39.53803223447356,35.88869876787145,33.9289163103191,35.969548492671684,35.60726350202757,30.992929723670663,32.00227564393105,33.75035319080768,31.126212053690875,27.51975014245656,29.626461524083158,29.711520597962423,25.194317254919497,25.635185811169443,29.198783943101482,31.653824098809853,33.20792065500314,38.34872260847762,37.15383617531267,37.835926324907014,42.86495370287052,44.03127622107216,47.300356636561915,46.56922929403193,45.948453606539275,47.791087612549724,45.50762475685042,50.53763923353862,50.159232687019006,45.307956838567485,47.77246745917587,52.36190850315835,49.42000174564485,47.44832004528912,51.064884680258764,52.56980942284188,48.707199639011165,48.11944914491023,43.55245362677502,43.73407363143637,45.344020294585775,42.47167429771804,42.52359702331519,42.43998187841704,39.73449026516146,38.58005889884972,37.82299919219669,35.79775972605065,33.06155958842979,33.10202645403077,31.54330878785424,28.390820621381486,28.279580528151367,31.623339681134727,29.017997638790526,25.097542794443044,29.232437832194165,32.29066297805002,33.983887382956375,36.832342869076314,37.14945712642109,41.50060049292482,40.05122515956143,36.61603865463191,40.861722304279894,42.932811585633885,40.46567435388494,40.94341171527137,46.386969745713444,45.86278052958504,42.24886734080396,45.29242300910732,49.375115360499045,48.163070680463896,45.365181421198876,41.234446252822615,45.740564578164154,42.38536833033796,40.31809445925686,36.30397938419549,34.483426252614606,29.87783733838377,32.627212675023586,34.893120510350755,38.778228056130374,39.12892353723452,38.03756719193768,34.49314055320919,36.18469965047608,32.560168277706566,29.1967132832197,29.502358314648262,28.931044228090872,26.057276555728826,25.643123230243923,24.955620300749008,22.203702933706854,20.811649460725906,20.9795285543322,20.556951536827118,17.76729007516252,16.277196067460626,15.317741544312465,16.4678711316658],[16.70574268237086,19.222395342938327,22.81017856165912,22.0398065099846,25.88301632499761,19.84461678963681,21.629901256302567,21.490168010616777,19.18761604174946,22.83700325874186,22.639284330641207,22.793789483324975,27.071426921953012,25.75701710493342,28.387786319011965,30.53529866280886,32.096898009367166,35.9759488322805,39.8127368842473,42.18126147052547,45.75398752927581,49.52830373758463,50.9948479013309,51.18355715719421,48.24215554466745,44.034590200490015,42.14874231664942,37.844223368584586,36.65768086764375,34.521324825427236,35.29681530780222,34.106219103437795,35.54874615991272,40.03332937114688,39.64833831576287,39.73358565305655,38.662237168485845,41.85083582765031,42.971504027538494,48.729943910643726,47.10282183892704,46.909748802707114,51.15933037806492,51.81074288557561,54.142480595195124,53.96622210748664,57.976489978134275,56.32108254203924,52.71715941702771,57.733341630789454,59.00781413201455,59.20464894389931,59.40911115030189,53.80307763099255,56.36606920175038,58.74840172873849,55.44802065554317,53.509963038655314,57.54148371617209,60.01187727116115,55.51166909228223,54.68384159502972,51.428210964406546,54.06292465286122,53.05052193375942,48.912369660005616,46.16478978016506,42.049718921879204,39.99078933239609,36.083092596965486,36.17166056934165,37.59076475995026,38.401256538643416,43.026677683372085,41.12585141928071,46.493378349898585,46.802516430283134,47.922635088725514,48.053974030543955,50.49329540609763,47.97231804401963,48.94555719652792,45.83610360854401,48.15556591999548,46.06522023547262,43.46213834292923,45.34960952208741,43.83222588050222,44.13609700272949,44.43978059309392,42.23047505757266,43.804200746645186,39.72441979210047,36.711543284090794,32.730517447459356,31.24175012089217,27.92348365459824,30.03142383845019,27.463028591883454,26.622754193485278,31.79990135321543,31.153090975949688,35.369390055442665,34.16936929671973,39.304456197834604,35.42520053963354,37.62429815706209,38.74761803023067,34.980961942362406,32.97113569164398,29.26582647732012,30.65727742480162,26.674330381661004,29.63756229055724,28.89118412834507,31.192674864551684,33.65015595471184,36.56594703432315,38.82640558187758,35.18284632449059,33.05703228805916,29.820810404092914,30.31382873623005,27.997136255391634,25.17623498473821,29.112571326128478,26.431407354462586,30.955470302625205,33.27791792902742,37.0776086962,38.51371725820252,41.553315806061306,43.84013889087483,42.70742924950115,41.14155416376105,37.5050358682674,36.62578466873751,36.35686672622508,36.069301501948516,37.20213370920967,40.44308187046824,44.04123404373225,41.22318571056188,38.78030801988728,40.741283345674894,37.32153457934838,35.110647053757106,32.34259055723355,31.26417163495157,26.804287107569664,26.600068494240652,22.68118491750184,25.130854721044816,20.501811862541516,22.46918455520926,26.070486116822472,26.7151270019132,28.83009783688732,31.005466113955,32.9962966126386,35.883550424509785,37.9602098580777,39.437433053355626,42.663365554274314,44.6113615958769,45.00602601481377,46.622256847859425,49.81632427941785,47.299631345626565,44.14604774992971,42.90991402479583,40.63304929992105,41.808213552646876,41.65597781725493,40.85999795093154,39.69631102081623,37.36140395156955,41.23702149331028,43.48819645606094,44.00065454892663,45.740383956859745,40.640747312375936,45.97701690683913,49.25999944885572,47.32770806389887,50.08484275588264,48.8087306044236,53.871452727435454,53.48062590057794,54.297997637767104,55.614847089251526,52.11921392768667,51.34519363528558,48.55195475170139,48.21156107587513,47.87589665155741,43.36506187347263,43.09100080658139,40.07062217253286,37.0297244003879,38.49663236199141,35.142879677624364,32.78667022188264,34.604427167602246,34.71799973063806,30.018632050367515,30.265965927241023,32.44519969952174,30.49063779079596,26.192720941995848,28.111419121750913,28.675998254707583,24.21860491206315,23.913419633552767,27.658992358226484,29.879994721120532,32.08447929300531,36.58169225704226,35.73275839048471,36.8157350185362,41.961812579537096,43.441048340227894,46.644606953190845,46.239992679024276,45.50903859512449,47.53945789263327,45.25431196050741,50.18299441724514,49.584459472335396,44.484024780992726,47.08434083578564,51.49192684199547,48.26918943606878,46.27403832647409,49.91462468757885,51.11426341169774,47.103441553565105,46.52426018277359,42.11032045651911,42.712353762341955,44.592898401347114,41.98517703781132,42.404696525303784,42.74336378879456,40.00550725316626,38.366759756340855,37.9726102294184,36.33414150267256,33.162055074546885,32.949302292554556,31.93828334560306,28.84422254859663,28.126662430391164,31.8058118617488,29.57793091102983,25.27840364733893,29.085699980106167,32.44215115167656,33.74866342329708,36.79153609887787,36.99882735207164,41.325168003139446,39.70654641882473,35.8637454296241,40.198788495252536,42.12184076579599,39.418598835409604,39.70370322834517,45.31366698247455,44.5184184509554,40.608030710498255,43.720375714624126,47.8894990887275,46.41438102647484,43.41045712667944,39.085891371093304,43.467424021736264,39.851526419268325,38.11186008792635,33.862115279925014,32.409497655068385,27.675402876656968,29.956976906524044,32.347098512998166,36.21044236301758,36.72661929754527,36.072268746861496,32.45661957212969,34.50414044529407,30.66421790529413,27.58056257019607,28.629780132635062,28.445993671129877,25.817280092260233,24.594213568102425,24.03239642538207,21.94040551859015,19.934483169316525,19.42622627730908,19.768173339645312,17.745807402411206,16.2804023396121,15.68336453555438,16.938627069444507],[16.32754540390727,18.15174757282912,21.082947411041026,19.592650408118022,23.009551756555236,16.81087495094184,18.04538500334646,17.979275831333595,15.194038505026915,18.60859828837385,18.413375414131234,18.872118741509116,22.922219623528115,21.44239305013604,24.21631761043991,26.40898269035792,27.819229773796806,31.70263092931895,35.4862204055804,37.88568514850306,41.4344086394029,45.22270656650774,46.66160982531732,46.846638514957725,43.91626800971092,39.69804744311191,37.848951288526706,33.549907450355356,32.41471547195541,30.41438417620096,31.245048274872318,30.236025797343235,31.87606665601901,36.270970576322505,35.746061763697725,35.63604130282589,34.69992998952888,37.690729832369506,38.79887085014099,44.648405901415344,42.90236006945787,42.63906943628206,46.9109453030533,47.59452102911889,49.912938817512384,49.81283714280659,53.81586058520281,52.1382510906126,48.613097500340864,53.69621997663339,54.946783765311835,55.239236390037526,55.39741148519153,49.79293380592284,52.39010947695897,54.671809657799976,51.29965019818935,49.442464937254215,53.50268674054995,55.86786662433674,51.311209994667244,50.53032051832537,47.32925873203141,49.8745776298361,48.80526349980601,44.69190089286921,41.897267280235745,37.822804574203076,35.72676519256062,31.878188049884724,31.94809643059573,33.489531382155164,34.311793848595784,38.880496370895145,37.020004682531294,42.50880161630578,42.71480681057247,44.00219966167008,44.06638673519157,46.45343763835287,44.046303145272994,44.989762654874156,42.06123786556317,44.34561773576991,42.10900577402696,39.497178614637996,41.254510966027595,39.91497539134578,40.04165358755596,40.57364339576838,38.265987620995986,39.95822176176991,35.90709872836017,32.9849694153713,28.85272391248053,27.533078236924972,24.010383799193015,26.337707591919592,23.81130314177338,23.53873636220157,28.303649401542028,27.995513061805585,31.855234800690376,30.93367387417199,36.03994352008361,32.23215138869385,34.787671338605236,35.890339466419356,32.23349010839978,30.15618568342004,26.298365365319878,27.191589893894484,22.986969611351046,25.738169680362034,24.711675335024726,27.00830212830909,29.365501467134102,32.31512339268282,34.49442516625046,30.841884815851124,28.723273731655713,25.490026788708036,26.099824792047674,23.845092887258303,21.156346015765855,25.34706783861726,23.154800152223977,27.55089388122819,30.104204464345603,33.83918356805045,35.48498598297537,38.65895886977344,40.65882457668255,39.46647109819511,37.73071603563114,33.92767690186581,33.290216385182816,32.6712100072869,32.233191619635996,33.233171525174654,36.39168651879954,39.87490622358352,36.98036169021132,34.59972832200164,36.55684289684571,33.13472208175465,30.956358650525157,28.282333150468673,27.422310506958055,22.997084126363827,23.250371353570024,19.37209095498642,22.41295912650591,18.27042114379881,19.6523814465481,22.968524745497202,23.15652193377837,25.464808040794416,27.262076343209152,29.43913696231521,32.071422429719036,33.95247650971276,35.40022895873377,38.634191564591596,40.693123521165134,41.104657475722554,42.90085959252846,46.11723017156687,43.77696006140982,40.497805292978214,39.31137250281098,36.845430000921915,38.023457379148546,37.870985845721236,37.0594987112687,36.07081056946279,33.57133298825725,37.6817044682575,39.741473640934814,40.424860332319405,42.02956304630911,37.137101078298286,42.53275352516883,45.781714165195176,43.71160588960945,46.25290390224112,44.810711111904745,49.92138994631427,49.480836552117005,50.46614823442207,51.894725092618145,48.45379673438604,47.86022832131507,45.19091907547003,45.03832239169572,44.94429541389613,40.454369489829176,40.448257922384286,37.68898990044272,34.61017822006162,36.57488110346869,33.25884178660416,30.61621221926011,32.79033978454036,33.31664332622671,28.514777532572165,28.604734012860252,31.30128836400508,29.727248083641392,25.177869836844156,27.35824988973056,28.426718722212815,23.95691511959749,23.458647534912174,27.673672181164864,29.452322554596076,32.232571208318745,36.05720401120037,35.09451960070725,36.56567230145905,41.58923163739482,43.528994813726214,46.35052618172007,45.832665002827675,44.72893025877527,46.609990052063104,44.00238095152694,48.85255861142111,48.440738724402586,43.046167526730976,45.41969876301229,49.88758562110723,46.65567310339969,44.381799467613,47.829737339369146,49.19675173213125,45.20553514452762,44.133959826463666,40.0326401364306,40.41868665185973,42.56320497749542,40.34181800409586,40.73416443851391,41.50280554977001,38.41886386503904,36.654298303161696,36.892236195265625,35.2462538342776,31.674827417778356,31.79303111548806,31.295939449325747,28.211714299103384,27.393318746766553,31.546937391790557,29.685951154211512,25.347924634490997,29.18092774579704,32.75035795997713,33.683989890313306,36.51709409302776,36.247920505365514,40.621216684334584,39.35371638954483,35.08497195182091,39.15503976630158,41.34213717306245,38.63972513398275,38.38724740886051,44.17585168864553,43.61551496562266,39.382127691397606,42.15671706453024,46.62740583761585,45.29289522134266,42.09139195351237,37.72227093891691,42.27082278061692,38.62250382775145,37.358996770032654,32.783777487092024,31.231332350938917,26.36532032008809,28.536427038452096,30.644677618856893,34.500872911997426,34.72137011497113,34.20512008099397,30.119135191723576,32.00498566334322,27.819910138034768,25.244653625078804,26.36397960890356,26.707076536295904,23.797779716600346,22.247179361576844,22.476354993955738,20.65429287693991,17.610111250899667,17.605073583920085,18.995503470685325,17.187786139616282,15.243641558101144,14.467988171521469,15.394778330742211],[19.957413178394095,21.45966423343616,24.119184231471678,21.698367881477367,24.9573818174083,18.979869514609156,19.421850908080902,19.487917183218396,15.762772388384672,18.19108702917287,17.424897184795466,18.459067354161263,22.346466750644172,20.085042556991866,22.6329979273684,25.25279662177953,26.627637037765005,30.125381832022068,33.61868292020667,36.41731157849482,39.691349584079404,43.695394462853855,44.884891457415364,45.15342113137598,42.49786427711971,38.14827683886283,36.719302024609455,32.48579558050603,31.355052219874956,29.69063593983238,29.70305577497303,29.526221094208328,30.94296152528838,35.04308608283849,34.80851045017744,34.52196063922665,34.200819799106725,36.93318974252029,38.20809155135372,44.299909661981964,42.26965936503675,41.55401526843238,45.852132691897246,46.78724603428712,49.06821535931784,49.288053564125455,53.21511640247218,51.44763055220439,48.278964003407104,53.530529436706075,54.6210944413435,55.14797564895804,55.062115105966924,49.509230546489185,52.02531502227219,54.037805585439486,50.465373754264256,48.65879356255628,52.64540353285145,54.8484478772811,50.06272828007773,49.015970722118716,45.75346112458095,47.97255384174819,47.14856473946243,43.18563445153326,39.9048757495216,35.92436624625771,33.441254759679445,29.540018158722994,29.376524642247205,30.512036106916316,31.61366694328107,36.33129962528504,34.862608387906576,40.31878420707104,40.979560852867074,42.38664872636422,42.78153588817265,45.3911130533433,43.42021319038096,44.63882717417947,42.13868609083799,44.58984256367276,42.12844424705798,39.3226994261518,40.55498047545581,39.3735782145294,38.87157663971868,39.34812505450642,36.6344509301074,37.94098788991291,33.92579171191846,31.27808673330443,27.24222680937806,25.56999104876165,22.130496785057087,25.338867608199163,23.353592611774662,23.936463266248698,28.385658756638072,29.0351663122935,32.399723389718105,32.23595040650529,37.41645404505782,33.87324613094318,36.874966850481535,38.00529640316579,34.527968984458155,32.374340002525095,28.419248201592147,28.56997135950108,24.054967461622315,26.254172683994174,24.404986802159108,26.505427142019343,28.401103419317344,31.224036918667714,32.784633916072615,29.195089560791658,26.985866103666158,24.056723106746492,25.033876556956308,23.317473126716195,21.28127861059867,26.008756722042683,24.834004940842334,28.974137898310357,31.854144974912447,35.47513138030524,37.33658490585068,40.69586799190873,42.28215921064504,41.036464414797386,39.02211872548445,34.968706454328434,34.58674883829641,33.29930577555073,32.38298715876556,33.287425263136136,35.897130735584746,39.11066098571285,36.08003578385971,34.055383642302765,36.05772255527316,32.628032564465414,30.642884886987627,28.271132026089283,27.993766559222312,23.710057455509375,24.741156917163284,20.784822030462017,24.267574540822498,20.338737827853453,20.744440727867186,23.98041049369971,23.72867228054583,26.59835012143694,27.66879561054729,30.472654870824023,32.6844020426641,33.97663042894945,35.41533731208558,38.6232113716526,40.9761146978955,41.28969053244191,43.52812557127658,46.66981121641402,44.62743881099789,41.1041712482377,40.143292037589326,37.371099819975434,38.64211215036066,38.478439959525794,37.553323154316985,36.801793845841736,33.84850480888935,38.23075729834491,40.14789517714236,41.19685834918255,42.69831762153105,38.263120137557095,43.73973262992656,46.920323400584344,44.62425074902603,46.693382566608385,44.8402296092045,50.05320209760428,49.467513716530405,50.87741143691965,52.51133647841381,49.2193959194241,48.931433499114156,46.47587815735057,46.60640580791008,46.806647167314765,42.33603257882642,42.7009627047356,40.194828369069796,37.187947220252795,39.585003759376214,36.368780715117126,33.48371585614415,35.841576730454804,36.73230574716334,31.911131463402043,31.676195919734234,34.76224790828129,33.54588814677599,28.777711176662883,30.944473407578997,32.32656690791832,27.93184457097821,27.09748992516976,31.41349145972481,32.96176373525684,36.13264819142272,39.464061048223805,38.65929961404604,40.39046653412309,45.38450730507797,47.52793514962896,50.219580319844034,49.74170271609338,48.46650095004335,50.2875757585058,47.50387237431753,52.27495998440878,51.95127123059776,46.37117423187239,48.601580014631274,53.05710145166501,49.77137555467928,47.31907595347093,50.60144722861864,51.997804540215775,47.99408368145314,46.55881938229609,42.79506663165453,43.09148861992536,45.475530507245146,43.58829885887929,43.9516227614213,44.99531333781739,41.66185640157336,39.871260378390616,40.533513188087746,38.836408348471615,35.070850194297115,35.43451226974365,35.20176214194261,32.132897807895624,31.298466747510226,35.63406126368739,33.909412749027396,29.580801380025914,33.369687937870886,37.00706436945237,37.786852835833685,40.559667075577444,40.07893382324631,44.44861209646927,43.3121896236817,38.82387807389774,42.75839960004086,45.02034051743421,42.267982904955616,41.71018223538579,47.597162103266314,47.04611620822499,42.57949815548068,45.1892591282967,49.818781229862644,48.429175994848265,45.054572224282865,40.59102099669692,45.07059714729832,41.243066679311426,40.40210242519424,35.61303750379245,34.3115529545881,29.398963468582913,31.124125630492216,33.16962496467051,36.94248015457104,37.11708490852247,36.960846594045364,32.57487472349578,34.440968579672465,29.919943897501774,27.962059464093052,29.23829291352311,30.011292426920217,26.88394685969291,25.11932757545814,25.947614940399937,24.344133892588562,20.620911197269713,20.92119682217526,22.937927581486285,21.279747686748905,19.114549614227563,18.12559824465122,18.6030874817238],[22.134280058935282,23.167197201696677,25.486497394759215,22.086704474630622,25.23263556708042,19.87816694056722,19.724057127871774,20.353675716773626,16.045176921541618,17.344500255037023,16.504245265765636,18.47263464817267,21.537972132192905,18.40640071929739,21.16705979649307,24.10531402560671,24.96272411884017,28.166013959711513,31.117767033870678,34.33015327316976,37.274120927008596,41.44055867786537,42.2949947556337,42.45375740302718,40.08317961708249,35.642618257515785,34.63886013481826,30.552342178715882,29.75393241254621,28.66486643727442,28.322630197782768,28.98186528834215,30.527345722946247,34.23532340563915,33.96873866931258,33.22824360995151,33.46483470063435,35.576717568126355,36.77899073228151,43.078560647655394,40.564042098113724,39.61988084861079,43.97874644930906,45.007290927318195,47.090039395749415,47.486201483209804,51.36205309776529,49.69400794062993,46.80814342228882,52.13039725407081,53.26309090169177,54.06370651010734,53.89260479202271,48.40242117717065,51.00404188115988,52.71426649083051,48.93375144857602,47.36422136113719,51.35900295872356,53.23657473674577,48.251324926253304,47.187215043963256,44.028580698011105,45.793934097918495,45.00969691689019,41.25189798307057,37.49609671946795,33.76685046235414,30.787352083924283,27.07639797300004,26.50402276586904,27.379788483134778,28.98020576989343,33.69396181655218,32.768009817249904,38.357655046050915,39.20905065138511,40.97687903124951,41.477089226106216,44.085642768252114,42.54561552925697,43.765915790131125,41.755795449305616,44.08497640430057,41.29303415879312,38.54242025982825,39.33529190355164,38.608330587842076,37.482036330285396,38.32097601376982,35.21687558624158,36.379782239127806,32.4946507475744,30.248140393013596,26.167356134636023,24.49282334057057,20.939019405443656,25.022418675184458,23.485964326963277,25.09523004994498,28.771203465154176,30.092677080058095,32.76154908552587,33.07211449774242,38.00851670662202,34.56551769959544,37.94277486359661,38.85248459229805,35.46884901600559,33.48848180184157,29.33894094811662,28.824058974094125,24.131042313907887,25.59884462389677,23.173911330877623,24.80934540323174,26.403572877817503,28.849175772840866,30.066065224036187,26.80146088223465,24.344894921778415,21.736333228123634,22.688891717596896,21.536359790793114,20.21119383866927,25.2334873205594,25.123748472446117,28.98191415477316,32.15173706888232,35.78577298591165,37.57530269781758,41.201487791626995,42.33255680343884,41.27019943761132,38.78021497434644,34.54325202282675,34.169587358987975,32.264220273176306,30.85821126780231,31.848488934613776,33.79750501474259,36.86482059128443,33.90152665602559,32.2283528235428,34.413865858218585,31.222041962317224,29.29803726450283,27.452664763589592,27.751786797768478,23.785610367775767,25.62625028667011,22.04870512368424,26.12009604505922,22.884587476622002,22.558970308465682,25.30689756863723,24.35820149246646,27.44919661535439,27.7636389869065,30.76126475131161,32.25713937828397,33.15264060169786,34.20562423138517,37.540345229518216,39.92516701891926,39.88378776563997,42.542818785865954,45.47670683593971,43.65798788333523,39.92967165655189,39.28539459947385,36.345255362561865,37.916612232411495,37.94371404923381,37.13764061655989,36.819928929781135,33.627729131773485,38.3754841537636,39.862737669350636,41.21474591003711,42.32636733441525,38.318808510281606,43.71002138450991,46.722406364284346,44.167547959956046,45.88693631501315,43.713681640782774,48.93685774741876,48.01903328249297,49.814683905242966,51.53035563788068,48.46165283946505,48.359611170868696,46.09669353952347,46.480685635458705,46.895695568944234,42.42303799861165,43.22119067374139,40.92388376650821,38.164658975790886,40.96892735842643,38.02993845980384,34.82419808338915,37.179762968054604,38.565706121980526,33.78794113947084,32.97476655709853,36.509190530364485,35.89627462373977,30.778262663463433,32.8347851316703,34.65978976088732,30.45032048108524,29.106287275350706,33.514904887449454,34.70199000417577,38.41882363837723,40.987370073060355,40.42512647561237,42.5292378000713,47.46524096145303,49.92526997964113,52.41592087241908,52.09792641028767,50.62417410438643,52.458399957045124,49.554271358952256,54.165917426254275,53.816763190740524,48.0215885097533,50.17275207799353,54.489547720605835,51.06477612039626,48.47773144233123,51.60085651091242,52.87058609404328,48.83478517654659,47.116145468980164,43.746123854531206,44.16791478385743,46.840597053740154,45.368211409136386,45.892443078946684,47.35055309365808,43.861486567409564,41.82152252938896,42.9786630093053,41.46772695537813,37.3991951149565,37.81205211799646,38.05410981144239,35.081510423800104,33.97033810297042,38.532961492566464,37.12686610037508,32.72434492389071,36.27525830168573,40.04593066377724,40.50337003816094,43.25470695496387,42.54039577886036,46.8425561922387,45.77171794232866,40.96918334508558,44.76219146397071,47.00942783286972,44.156646622554824,43.24379936043947,49.21617789295406,48.58958432769433,43.84755438835031,46.29021707212326,51.05224776098092,49.54541402626083,45.975619991572586,41.424056561300425,45.76389503354897,41.75554328484148,41.44366006213233,36.443493931783074,35.47698880979527,30.589279039703985,31.741972223334603,33.689672458658315,37.307372563876584,37.471085351102566,37.78772722443255,33.19881254319688,35.1632199498963,30.386090269729078,29.10906010893083,30.82948167789558,32.09194742767977,29.035467463223686,26.76120681237435,28.07261874394746,26.992101709999144,22.6630589142655,22.861689579738055,25.61894783707163,24.456870821416608,22.249715960976683,21.35506808282819,21.61549272906049],[27.764183906059376,28.871367287323054,30.847363964702787,27.853973250599566,30.195258521518493,24.338409223510237,23.46217152366524,22.898304443253924,18.364548501793877,19.155942704398225,16.95585549117597,18.065732681809017,21.95982419543464,19.10032680957952,20.147820965386906,23.23784152642941,25.187038972760824,27.644384861208792,30.940313045517264,34.07262765557851,36.923792557439846,41.131531733767034,42.13149770249913,42.87650291963252,40.63378631652456,36.244458162939935,35.42057087701616,31.400677335256056,29.77203824546333,28.328927961016117,26.448804181069196,27.515865549261555,28.030516993158887,31.551124694213886,32.17725125967898,32.05598239521008,32.71388922809725,35.48627202814455,37.326330291562265,43.51226345389037,41.56251094063788,39.871892946759445,43.967927448631485,45.48817977870487,47.95423429178913,48.85946529581561,52.52626664991523,50.32088728304198,47.84614660062846,53.34293205938822,53.820732793561284,54.57631016318075,53.895612030948804,48.55886391115878,50.618480238995176,52.250011774224376,48.52900553283666,46.54730504147074,50.18658406152896,52.37030392925348,47.3616636566825,45.60010545550584,42.10198868616495,44.02659426719041,43.87285195661988,40.15052712564872,36.35058886344238,32.41443910038858,29.7398629918027,25.596049894908667,25.43686184294547,25.716291398453478,26.731620853375006,31.664208488687507,30.54485997578137,35.48124800701115,37.11221389243253,38.292470132492994,39.44122002324812,42.586360573681496,41.30029389935295,43.260397362539926,41.36965773991086,44.3889391408104,41.90059372817645,38.55712252472712,38.86925958785585,37.515191547112096,36.14789809361203,35.932614985020955,32.744939537762356,33.12335406728258,29.219215308092256,26.973704033576528,23.57487467430682,21.052441702690103,18.409066005011578,22.630182538315253,21.83456736094513,23.42439062575086,27.461719261446678,29.779640527506405,32.44338636707379,33.74111326113985,39.18081836640429,36.46427272086835,40.02500827528162,41.56245557065066,38.67005085916813,36.091004059801726,32.45703888938687,31.51402926291984,26.86128439201796,28.440492128345003,25.284023844432735,27.395575122449785,28.136448278967446,31.073193942916525,31.118382750905976,27.363223284209365,25.5667593483442,23.374202696293203,25.578527713559797,24.754297280205055,23.76453401802913,28.97188678977392,29.064783910487304,32.510461542785535,35.64298404268123,38.62365829470727,41.25671804305437,44.52731032478286,45.56096074122809,43.82722199199061,41.929323396511755,37.64874891252347,38.190516805910505,36.027733567940444,34.62925321271583,34.89188162367889,36.89861440545727,39.27020048608998,35.79043930748705,34.3676580708575,36.003594994574875,32.3361747309196,31.02285091161473,28.868756675660563,29.40437706550597,25.508613239877793,27.352079447001927,23.157264854022394,26.59075163244157,22.903382478279973,21.700820548858257,24.830592516144108,24.321635924619915,28.083567584207874,28.101557407869144,32.16040873183129,34.13910315063091,34.209715189588884,36.23536024424766,38.917219249186516,42.040647681574036,42.7667393331711,45.509158750259495,48.72947530844576,47.3444104207571,43.58704966248056,42.74023191535514,39.41587380828002,40.291836826050734,39.735802261609365,38.298962954976815,37.5952316536379,33.86801307628817,38.22999430950415,40.28079477585125,41.8858525487224,43.64982755961803,40.10494911776465,45.729852639820784,48.87668222552433,46.42470547115068,47.541298803414406,45.0448448433314,50.37102130711364,49.99539627531369,51.986329102762305,54.09877604019813,50.955975165748995,51.34421189643474,49.3170904684988,49.896442248595086,50.68233799287879,46.47225471634465,47.194599442451896,45.27620677375237,42.09345469837138,45.092557265464045,41.77074842917258,38.82793737989979,41.79447097306371,42.90988593832425,38.11343565210896,38.099388070673086,41.4987568800498,40.31035151926078,35.753226581476596,38.177600878242785,39.74069298539865,35.34267808649178,34.65336372565168,39.15244240653245,40.46653447419588,43.81474914638181,46.82561345435014,45.85957732509593,47.745057909044704,52.55738507735563,54.9106273387506,57.31241394586228,56.53731217648396,54.94314376809327,56.42778397998911,53.23890254498361,57.93769754798906,58.050683425697926,52.313808351422445,54.0844967407416,58.71548100160983,55.637001897175615,52.82204843657127,55.72320899901682,57.552563514979695,53.70922875108335,51.50001891711224,48.25192308477145,47.882783360772976,50.460678182700185,49.0032841131011,48.95241762926881,50.205654826736044,46.385433658554334,44.970904042516864,46.20275637496086,44.088589301074286,40.28016399870666,41.36273128776832,41.24841985520285,38.16700383755905,37.773454391268885,42.276098933970964,40.58231871188829,36.53351789134901,40.559162021239004,44.151722820571536,44.89285510750013,47.33169719598581,46.44013521668282,50.84568476234128,50.20622326129945,45.587685429660866,49.13425099653877,51.76020389596199,49.15580593578047,48.11806732585107,54.05775880490267,53.889189925789786,49.2392474822663,51.39185810773473,56.29414392610969,55.15203527922271,51.65186162565365,47.23874953275379,51.812169625486206,47.992492518514496,47.60245026404445,42.623290392668366,41.25529565571702,36.35818939550479,37.92476953775023,39.642777944785394,43.296215063929296,43.112781044073735,43.068700211640156,38.184106771489915,39.56231962873989,34.720156069199305,33.56537964241453,34.34257570618788,35.55764207733318,31.834102226151217,30.42188317590968,32.20514558017197,30.429215034769797,26.044583471591455,27.469838868961997,29.928689849526197,27.9347822258593,25.34501192418275,23.796067079050275,23.558928460345246],[27.433421253987035,28.245857687816656,30.247955618314116,26.34179835552543,29.072819362340606,24.10188184681609,23.230971308826774,23.780269448077267,19.045031694633508,19.10315560841737,17.58743036343561,19.952783147383332,22.549839691218555,18.73497325192273,20.790711761681752,24.08328189762901,24.89562614825602,27.329582042562034,29.759977552153508,33.40209988996139,35.8755351373172,40.23019619235842,40.745716221280404,41.06174583782716,39.119864634197015,34.6301792583629,34.23160307557683,30.395560605886114,29.57528792211378,28.9480875384179,27.45794198601051,29.198914285019665,30.337053825644716,33.49522045580741,33.65520070558403,32.750719136886154,33.7799605122319,35.54210360281108,36.96323871038922,43.376514956638445,40.62871138359169,39.07592002317882,43.34276103292989,44.7063961904165,46.736860195284976,47.56801534077623,51.26539890853116,49.46228262714952,47.098558925514936,52.54500201917863,53.40837184555617,54.470907891783256,53.968186632921324,48.64610868451307,51.06317117095879,52.40932031500914,48.451969195731444,46.9439532360333,50.74941407232508,52.41664779784115,47.22209139320208,45.78628695813549,42.58746350044295,43.89430520032891,43.492143734671124,40.01655305954077,35.69277055217545,32.19458201314393,28.776333637573448,25.12259935554177,24.229359956667285,24.37913289637266,26.348282970986673,31.140633962923204,30.815988788606358,36.16183407937282,37.65865578322674,39.51401314991073,40.46934183431817,43.33411846793366,42.39149619299757,43.96936576790764,42.52218140251313,45.043459146219284,42.08461524166537,39.13136466573494,39.228990962126915,38.67389068954407,36.7741353688046,37.45846539826518,33.90909811806237,34.4710974784126,30.76993866500189,29.01093281647811,25.3094340766706,23.223320335115027,20.10893528872497,25.08011584421905,24.361680652790216,26.808086637830456,29.94634965593336,32.28845454297358,34.33483442866236,35.5030375299264,40.419241054508944,37.405568439635125,41.1464515925954,42.133628922643666,39.049960767552015,36.977200076211794,32.921210845907844,31.691367491965305,26.936992142518786,27.771763551401996,24.51118794295583,25.840660686208714,26.667251864092766,28.86356321589828,29.07041914594477,26.01294317750607,23.623180500291877,21.681832436558814,23.18359241857054,22.85186914122492,22.440122636675923,27.685855049678654,28.589680594352867,31.985291632876663,35.34894329924142,38.689558551395315,40.74718245571974,44.43356744265631,45.11812562228011,43.94611523046053,41.29478359108252,36.91143424585755,36.9258875887384,34.352776481165925,32.47582698625865,33.2262222836082,34.456469320876344,37.00946497627281,33.91855782445576,32.77998127023563,34.88373606808389,31.764622996584688,30.219263930162548,28.795115702404228,29.743328933690663,26.15871570140191,28.639085504248325,25.130350989270248,29.30730778869053,26.355254766022547,25.167056652505725,27.694537055529945,26.400774872371436,29.933128046369713,29.46264353710353,33.07373261840607,34.1180369291079,34.24280737958203,35.3391849851231,38.46976281963314,41.19974168171546,41.13202477888927,44.23429399038182,47.056379246039505,45.65694952651598,41.74366181161247,41.33741335551929,38.09951859474754,39.649184305670055,39.60250414174332,38.63302333887316,38.54928872452695,34.91788910808942,39.783087592974866,41.117678376360345,42.86143839333902,43.894548575912225,40.52357344104253,45.90054513154916,48.79670336266108,46.05794647860322,47.156709324772656,44.525876710177855,49.77309190387996,48.759032039494244,51.032805963531764,52.99514080617141,50.13569828521972,50.425406998481265,48.458675934539414,49.15618945609769,49.912169247658426,45.56961428047699,46.708912307927086,44.742263054070484,42.04194702680492,45.21979815286607,42.358882596389044,39.03075159535839,41.589650306520305,43.23199375432085,38.49687391588483,37.55045106862484,41.33289488823918,40.93227990333933,35.787240895231164,37.86515289838956,39.8753332914974,35.72924393313447,34.26727835374544,38.714927287618885,39.72058625405867,43.661767236452725,45.854861643036706,45.36613909218988,47.644008749909226,52.501693519232546,55.1208605558794,57.46388571206424,57.11793799120787,55.47536032163589,57.19744906582871,54.1109447181699,58.62897358218918,58.426174736749424,52.50649979346689,54.45528732389725,58.766753019993914,55.364816125297516,52.60146475456363,55.50384038105895,56.86528143939621,52.886019124700816,50.76789921723212,47.783595905587745,48.010508168445455,50.864811844784185,49.71939562361889,50.141706618481535,51.81492318975599,48.09088984724882,46.12242320523926,47.650694403553786,46.034892983890266,41.871455672128924,42.56765373092914,42.977888783473354,40.022836738687126,39.002815324867036,43.67283065995502,42.34274637757473,38.01019826951362,41.58386118726082,45.37119066804698,45.739150295487775,48.381899466052985,47.465611524961865,51.75300972662998,50.864117625529616,45.927544485730955,49.537102022846405,51.889706232993156,49.05039438958838,47.854114407301665,53.85767340394895,53.31436443045807,48.417040671688596,50.6350313201471,55.522031219602134,54.0342743365734,50.349400728976924,45.79277972978053,50.051035327603486,45.965124775018666,46.03671616327705,40.92482474307181,40.12172307334954,35.28816431129935,36.112462347745584,37.91481570264544,41.382950986528286,41.44212425257432,42.02485928046354,37.21875966087345,39.035058573383914,34.074088584899236,33.38173725081666,35.058615848161125,36.63544435031636,33.38092040381659,31.109501033168378,32.90148155018029,31.891483796307696,27.19576062440937,27.770245088412448,30.830141888225715,29.64319956888672,27.27508623322926,26.179613490932198,26.123629064538296],[31.96348430825334,32.83417008392929,34.783742406827756,30.86843197606347,33.373859312564235,28.380000469532007,27.20890168871669,27.424942720042775,22.58644646974452,22.18575456100922,20.112736062975817,22.27142997181346,24.89330977749977,21.00517064918868,22.147958456782757,25.55461260451879,26.66739851681897,28.432698472590502,30.62885709631746,34.42622849252479,36.56975390295645,40.993253084776356,41.34783698655738,41.920358543287996,40.285788027834386,35.840307517282646,35.825890763030316,32.19529971073199,31.13389348227489,30.623140783315037,28.09613400513256,30.4660825702059,31.028537034217184,33.794587970700405,34.48839537024109,33.72831918116492,35.25953455505446,37.04700262382695,38.749326114681466,45.121483138485445,42.448852826623586,40.385647605054565,44.48263770723228,46.15637543856571,48.252329593084916,49.44308110701531,52.964789496498945,50.953468338459636,48.987590313374945,54.50781055690514,55.04472663500988,56.21549484602296,55.398754773595975,50.23796519861254,52.377250032772416,53.51166634409421,49.5095187463269,47.91116723342635,51.47453004646537,53.11975587390155,47.8418644641889,45.979604696364,42.670815722997396,43.74860015855121,43.78637199251594,40.519258973947494,35.89999361947094,32.5255407626389,29.002436351622325,25.328458405308638,24.389470887828278,23.829078352532186,25.81397162028617,30.642959653273586,30.64493777086997,35.5243563714906,37.67236250178505,39.34539129112006,40.77616490651254,43.93528916174838,43.38972514594852,45.37123263399646,44.228893713613616,47.035849605539134,44.11954272845635,40.9197003339229,40.538751323909224,39.86566873908509,37.52399639003093,37.749466219508186,33.97709222414472,33.88819230848446,30.3480149829934,28.90153712165957,25.746457324077376,23.179420352733175,20.753309763675045,26.03746167454032,25.93727225391906,28.609173826418246,31.64398065316907,34.646301113410736,36.46226699362061,38.233024898735614,43.27039862821988,40.63041598644251,44.51577230735386,45.705276248458475,42.848703278120674,40.59049357540732,36.715229299353034,35.181299427195505,30.455721966904896,31.11523657377906,27.41491991544301,28.721743289211435,28.97957117090839,31.138586034214125,30.509029176420654,27.496791977203173,25.388887615881085,23.947387485225644,25.964748440886595,26.055235663789347,26.04422140413013,31.340378570499148,32.580266502475915,35.73120542692069,39.12750492678437,42.194089357108766,44.54577588145295,48.15080224060233,48.66033805501361,47.27658339582595,44.73655678332837,40.313680517500025,40.68159495758497,37.8246349523786,35.7793476874442,36.25893088183909,37.16539648485041,39.27402161396906,36.03077367961354,35.22991363147525,37.12482150260474,33.9476411965311,32.75935926035812,31.4401409272661,32.68071138553449,29.280387645891995,31.9157522731463,28.264563593900984,32.21533233971422,29.171866068463103,27.52806566559776,30.10407879858637,28.87906722292038,32.71602718168917,31.90607003181692,36.01226223373302,37.030032617930004,36.61453870848467,37.98983298522448,40.82237470690939,43.88224976845286,43.99791652747618,47.292161114317615,50.118236471229984,49.00454960091482,45.02941075409271,44.67749993136187,41.24964806677122,42.602655872101224,42.367495517327285,41.158412711216265,41.04877895667804,37.11467497489325,41.85434039318727,43.299982200135354,45.26638510724814,46.45949148595879,43.487457141550884,48.89812665023016,51.77494198013383,49.004500118550546,49.67202538773385,46.763948927702685,52.01720316762474,51.109607203635655,53.64389316581893,55.810064675767045,53.034898279392465,53.61204627781218,51.82949847536979,52.69124675112617,53.65753189152229,49.43263076082534,50.66110410850145,48.8818983303477,46.10043612401181,49.41283089847919,46.47118571895352,43.18739824889125,45.93164466260268,47.555573321468295,42.81839064325955,42.02606423481853,45.81854345702965,45.30404297041788,40.27565393754428,42.42239850185385,44.38235930068822,40.183880819133186,38.83596836873838,43.284521836258364,44.32649646213815,48.209710864680005,50.47017911400277,49.9419353212753,52.19053074982648,57.03070806708699,59.62232212490748,61.9581769036993,61.51093307748533,59.82370257536881,61.44218166623898,58.249063961479514,62.77414805625558,62.718420424785606,56.78905273405431,58.599582221338274,62.987693169921705,59.67229268654148,56.81384945247693,59.60189133994149,61.11568706502499,57.19481462043153,54.858201378795265,52.01340679119957,51.998725047224234,54.872698407168286,53.80578759984056,54.044104968344385,55.69142991843386,51.82585310567913,50.06246331883704,51.66985362076039,49.850638792440314,45.7597396412329,46.690454123939695,47.00102087328816,44.00673898108675,43.207712993455544,47.86270802931509,46.427540256317975,42.18534006575672,45.902366281317505,49.64229249550197,50.10410325461346,52.675455235837276,51.705081633102346,56.02338278207344,55.25365767042464,50.35035557631266,53.88596909519006,56.339836839184535,53.5510656295923,52.28987895578205,58.29375671701918,57.85077689310069,52.941343095567476,55.06254101806267,60.00149679347667,58.57515202396887,54.875294675782555,50.335969183052086,54.59429451935903,50.503509676511726,50.64248591001194,45.51784698154534,44.71001887766272,39.87966340996183,40.689120811825966,42.445886272351636,45.87876682472279,45.87076468218878,46.462209674021416,41.55373949071835,43.20754537231227,38.19363076691731,37.66242202165318,39.09454112005581,40.70747717855368,37.2307329133468,35.20677382121506,37.18018561753523,35.97684232590712,31.23722958577083,32.15948334376904,35.14678692472077,33.7114714233852,31.226017215963257,29.914043106872686,29.679043592404895],[33.187819593599336,34.53509360213627,36.965920551229374,33.54304063826193,36.414473408578246,30.9812374315024,30.22887313893288,30.124673361465117,25.464790680397094,25.737720367789944,23.546473941355984,25.09195109832156,28.45173690317863,24.97524911190068,25.83550927535031,29.15266086098051,30.753595164337618,32.583998933541096,35.0914083631068,38.72881068128111,40.98588752768555,45.3703286546196,45.85940820625667,46.56847407866152,44.872022583051994,40.448160598143716,40.29541416592476,36.5719750171538,35.22676485568425,34.332979486163445,31.629160555714364,33.63592514747874,33.81039269177429,36.76827703805969,37.78547738894408,37.444213658743,38.772050545306385,41.0548181396229,42.91189988634784,49.20897521856946,46.829655504053,44.74586674021421,48.786561912127766,50.51317387481733,52.751553030403755,53.93895214113934,57.46525187915003,55.33617711669977,53.30266208915695,58.83384362003968,59.257472548034634,60.291757012587055,59.41744248779085,54.236854413821916,56.226764426171854,57.50132634744839,53.59816363175403,51.78165024636027,55.25428820888429,57.13426831086982,51.9249632108162,49.86185370072731,46.39648117974449,47.691061308627205,47.918494392014196,44.58294830901367,40.118547508106815,36.596133731650475,33.32798239326854,29.474168526910645,28.779243125296723,28.106855078605893,29.77360276921974,34.656169720346504,34.41775064405221,38.975720803062984,41.355844220488265,42.64587926233769,44.27060858221729,47.6113240738226,46.91262597941934,49.08951254335516,47.684444246060885,50.718796333642054,48.021434143816364,44.665336027937805,44.42550590887952,43.349416047685864,41.2684074102926,40.969209027858106,37.36091159797813,37.01347541061803,33.40926443796931,31.749513950723156,28.862408879760153,25.962995750581886,23.895601875825477,28.73459470703291,28.531951560610064,30.485582904265833,34.24564837553314,37.036082842986836,39.374400590393,41.00945291714135,46.34548916348587,43.67732222166844,47.35133679393667,48.73844665161869,45.784069765680606,43.3729792690247,39.583941632227464,38.47070930442221,33.75312229025967,34.87100731278041,31.400312574597635,32.98907420091716,33.396928983041626,35.76502756424332,35.20635662581345,31.993975496290926,30.011856470230992,28.40522290055653,30.455925135913343,30.257363882309175,29.841440819679477,35.123821543752214,35.74247390758366,39.16793808750507,42.44029297214861,45.55603515277441,47.95830948532749,51.441314221209325,52.25651847009235,50.73970095082822,48.47311024960756,44.10279749865247,44.413293225622475,41.87669513687065,40.036509454335665,40.533022471112126,41.739003416069764,43.93798261306183,40.63027116330993,39.67809214030115,41.48608147458871,38.1116401377617,36.9162064672713,35.25893470995719,36.1933506717833,32.51701358524495,34.675997744216296,30.61874421866472,34.10858142536261,30.349887244547222,29.08681905813015,32.18661182445763,31.53338577331359,35.395743330084805,35.046041542256454,39.22480605764131,40.748223073473895,40.49105801273243,42.16939891848116,44.92365028727617,48.050656085173074,48.35641750912774,51.47362039655708,54.41865318399946,53.16123508734427,49.252366980863194,48.74985344336163,45.38504923434921,46.590399476798254,46.2134938837601,44.86202032092449,44.43191387602999,40.52271859244746,45.00355774848191,46.841590063601735,48.674956209859836,50.206653166252345,46.98422009169001,52.51864626673217,55.5309176121816,52.89761315245486,53.72562347653197,50.93462556414111,56.22577998937746,55.516170495723266,57.893530802301775,60.04813616657631,57.13546908127835,57.62225122504805,55.71266239113613,56.42572163772179,57.24517946951701,52.96100706260566,53.92397777686553,51.93953487711072,49.002435908367296,52.00954724656671,48.860404060460816,45.7790667582386,48.45787990683588,49.72504631843185,44.92168146625056,44.42366667174767,47.89786359867786,46.953376230074475,42.08538280395497,44.2049768625161,45.808941223534106,41.4713504130592,40.35505717744453,44.633844799366855,46.03028104019331,49.50822750683607,52.391951667449355,51.844720291007434,53.797123989828236,58.7744408620345,61.02426884418281,63.657556408684705,63.1830939806366,61.73669469530503,63.411008469839544,60.36178120064517,65.04197311509307,64.94494957417105,59.179580840758405,61.120035740263454,65.60441762064472,62.33126637998189,59.60782219581617,62.56529978180145,64.09538755243497,60.134966482514,58.08016884585278,54.91005339926341,54.89396753088423,57.569365677563546,56.1490131490934,56.27582665287614,57.54915906520425,53.81246084083951,52.26334810035621,53.41438309478648,51.41851691762853,47.60289495492099,48.45929226269483,48.314955574973396,45.219899503919635,44.63825256010118,49.05552706469781,47.277347156007465,43.06688639587737,46.94787113445004,50.56086826775311,51.35329002262301,54.04035391865732,53.36193433185494,57.743706168773215,56.80063152134527,52.17359775391698,55.922806992009015,58.30446327875301,55.526932390368266,54.63431009992329,60.59794495834902,60.06849828394113,55.35352695702366,57.7260632416208,62.53380336146132,61.05749118214064,57.474252496788765,52.91269345908689,57.17890934617667,53.082704183503274,52.81784154250727,47.8383976226983,46.98146600605339,42.09209245018515,43.13844496675629,45.124873094149414,48.68517411073292,48.84142123444618,49.22384333242302,44.49002849254734,46.20487160723417,41.30711368590663,40.274440249447196,41.48782653689881,42.71836793457383,39.16930012299229,37.50253801013579,39.05324852025707,37.44760962182434,33.18220308578817,34.051468213049745,36.44488286587536,34.636370424478436,32.224317320934325,30.812128219347247,30.703887427982426],[29.13290365918198,30.569310793290896,33.259319091263336,29.86119672375677,33.15685031034716,27.83221122949751,27.525859154587234,27.82722474755465,23.32267385457904,24.06798138207155,22.4317158488564,24.186984670435102,27.492447921910397,24.020793263392434,25.719506725615393,28.971218345606523,30.218923983751942,32.60358950598432,35.184346666012395,38.779451680409174,41.254466583398184,45.6144849628684,46.15546607423771,46.576254188929205,44.67831277907238,40.19867166468992,39.79295758733916,35.92397788972522,34.885757828120745,33.970910265686236,32.16700222212911,33.70362256269685,34.41372656524417,37.69842541625431,38.23083948900255,37.69510366601587,38.625737497020644,40.79288366433785,42.35537101642193,48.71603159442716,46.16448971214765,44.5455743537463,48.75964981153576,50.19368820112814,52.306039389553995,53.16065300549552,56.8452937828133,54.96698965194812,52.595827536202464,58.04589962712386,58.82039287230738,59.795563655549834,59.2290564860638,53.90199497228363,56.18633237261783,57.61917106362551,53.718761210332715,52.03663802086648,55.74582451733937,57.582610082328536,52.412243722225355,50.74580310935076,47.400144102487886,48.80170728031869,48.63401034758885,45.15356607871144,40.838942698166555,37.26712216465522,33.95553469858748,30.16699592647341,29.39006470849205,29.216101342933577,31.04724740756339,35.92132161950602,35.54181722452261,40.55412426715058,42.404814042763455,43.92881021742392,45.1443258559678,48.21620778027476,47.208726718632924,48.99665782131512,47.35166108423439,50.08239475855036,47.30044500881593,44.20791008494801,44.37166054091617,43.474298417977586,41.716554830267974,41.89231982540852,38.41604475449677,38.615520766863526,34.87567221727799,32.99220744734981,29.606677600634846,27.10294420471674,24.41765513426248,29.080273423103115,28.3307194704173,30.065688234158966,33.95621596682596,36.10804885828762,38.676367716345325,39.705754330794065,44.90240200684135,41.827822617597654,45.33206769786813,46.46969697359854,43.24018353144784,41.070905711725764,37.06826994871123,36.314314713392164,31.583605852953415,32.834805783632625,29.812079471240917,31.318503337846433,32.24910834002956,34.51827696183579,34.69418587766487,31.56278859625339,29.261915461680175,27.290478546930462,28.76595554047284,28.256819850389782,27.511349179595104,32.68905287121954,32.97112434938443,36.67195627236337,39.90455359451973,43.35051648192536,45.3582236297072,48.95960351211264,49.94667317275463,48.71773058530906,46.26808740607935,41.94774239275766,41.799058919984574,39.53581081338566,37.80474363618342,38.65226365433542,40.02409181901177,42.658043349811834,39.568025816656935,38.363907290335135,40.425454319968594,37.181389378764024,35.63713659300908,33.961462296070316,34.63852786649234,30.799647789650173,32.788201728586586,28.87022762907306,32.56148698119294,28.785449472820694,28.067763157881956,31.180448756920086,30.482620722201652,34.037000658891316,34.02451166518854,37.68845303406695,39.17960708320712,39.44833224020395,40.758301405486655,43.841070080792946,46.598518965298105,46.608275911976676,49.57979719151423,52.447068290652126,50.89362050340498,47.040426932133215,46.55443623940594,43.414701613369765,44.901131742228074,44.76712637633654,43.694266258021734,43.33366926356773,39.72289051233714,44.35203207952756,46.04147421021967,47.66934395110286,48.986198637103016,45.381824153446466,50.852192707994995,53.85656255599663,51.2308763548406,52.482758607256294,49.94189782527523,55.21176484726358,54.31069947428424,56.47653492984407,58.40315714396385,55.451784513063444,55.62774008310672,53.53481129482147,54.07833377934005,54.64835498324744,50.22276008742993,51.11308748646503,48.87922114967201,46.09291890750106,48.897521958603654,45.87113379378471,42.740409977187994,45.110821080858486,46.38706671458698,41.58974742595248,40.83240771511648,44.25326221718961,43.44826574482905,38.39816330867609,40.344232593467005,41.959584299107306,37.68584559747845,36.36092060292545,40.54080413101409,41.96839816603393,45.48395821171597,48.33284267701137,47.945938191698225,49.90768689623472,54.958701464837596,57.17057117245962,59.90685742040642,59.633732465049924,58.30847180534985,60.16103734588501,57.294477758084035,61.97115046204205,61.63885167332789,55.90546420428894,58.06426918816556,62.42042057206535,59.00422654066964,56.437803843685955,59.55333727289259,60.822492710121615,56.771246700304715,55.049074139713056,51.712941561976564,52.07057685524863,54.719246688400034,53.181041654527824,53.55781090626143,54.82528879999273,51.29483744503076,49.49579778519385,50.47896111455989,48.73562410157559,44.86844780304141,45.380350713816306,45.287823682934025,42.222735310297814,41.36067723168963,45.738416615301006,44.01868696814435,39.65784147065019,43.35337322408551,47.012082842657,47.74813802276219,50.600102041722494,50.07881394611561,54.41989425684216,53.234192355297225,48.60662715764128,52.51604195055263,54.69904579860062,51.82187523632503,51.092983750999494,57.042160767298725,56.28844367910742,51.60634376619319,54.17509026688578,58.86632177986504,57.224574976024684,53.66139392816262,49.05371539234128,53.22090925593717,49.06830343229215,48.706586519307734,43.78202812911967,43.06765056005698,38.19117416218004,39.145218826941424,41.28202215837365,44.855607668529764,45.20418107886093,45.66001390469736,41.13544519029189,43.121887028451034,38.316048682105425,37.06309800969136,38.62617780817478,39.75969326093288,36.507978600148604,34.55702701343284,35.76605529771338,34.365219601436245,30.270954593423784,30.594710644382086,32.935561181654776,31.4020217830061,29.18325020231472,28.03463124501043,28.19034577477528],[25.64062780523317,27.313415462628367,30.187938027609306,27.36901152538888,30.77769085021119,25.0634050665118,25.173815977381953,25.243690400155096,21.0838013434686,22.65248896359633,21.238902193719397,22.511087951318352,26.33794308632076,23.430660454023716,25.343798891865173,28.362431282437605,29.859493342103335,32.715948299919674,35.80322863594841,39.04973234062568,41.909893458981024,46.138939192698714,47.00269887619049,47.417765776947896,45.17379321544835,40.72564405921263,39.85623914522817,35.7839410043413,34.58855569018865,33.232791909764394,32.050815359399174,32.797249091897285,33.645122073023344,37.353076282516945,37.698297245006884,37.41328510273614,37.78225889706829,40.37121961154871,41.89001813568322,48.13917861961569,45.901279093678205,44.62374938351551,48.870418070141056,50.13107329005514,52.37637472809944,52.97850088247205,56.773531679634964,54.88684171905879,52.16156559404455,57.550884187242886,58.408731375017204,59.151618565737074,58.75589157307189,53.31533698343109,55.64283959271562,57.368881664685055,53.62706930727658,51.80439472287718,55.60755567271494,57.68977964254859,52.68371643246515,51.191736359116156,47.805818903500416,49.637251006492455,49.262895797921615,45.53696919061757,41.67537125658834,37.84913656810397,34.93592173636941,30.985255459085327,30.53675547043202,30.868738999217086,32.30838184721896,37.1987524462407,36.272926629263445,41.40735305794411,42.855147354576715,44.20396773801146,45.15641898359997,48.12116618881141,46.66054111443505,48.30097387310309,46.21077321611707,48.927279495541285,46.35010279210867,43.298664793522164,43.93730989277636,42.76997831204629,41.60322101643367,41.710144276181445,38.580824391419846,39.15245299038727,35.238834810531266,32.94428849692175,29.351134487457653,27.030884298810694,24.12687305851366,28.12670480287959,26.863493043276755,27.8996802411188,32.302899373742314,33.81587403758221,36.89331302537122,37.4257837440131,42.73679647390842,39.48162156516498,42.70941143230396,43.927241974985506,40.576708466769006,38.35031949017814,34.4176596198708,34.15804874210082,29.515671401602198,31.289332954586413,28.7620229153774,30.6105865156403,31.952485619595315,34.538887629059104,35.27048474134812,31.8448674343667,29.61025938847642,27.19522103609088,28.53734136220299,27.47466521486079,26.11367217300596,31.13409390476967,30.648513014691904,34.60278290146959,37.6499513239924,41.16717350935125,43.14720351470528,46.59850769727279,47.934449075518316,46.64048866230722,44.472863515761475,40.275152029487884,40.0298061939878,38.25536641352044,36.91021766927949,37.775015446202126,39.746214590872704,42.64308359493916,39.52820434977692,37.94355436317353,39.95070946960723,36.53975661084727,34.825205418618694,32.749196179712776,32.96002470596229,28.849972150656544,30.305624110798092,26.209823135727227,29.62382779300402,25.492280822273276,25.330380437437565,28.710560133812272,28.404807532961918,31.72969587066537,32.29376925351606,35.68078902597761,37.64426297402793,38.3537806866577,39.84354076625297,42.94604061854631,45.585644459692766,45.79713487208226,48.419072581814554,51.44759580533296,49.650349940866754,45.94816243660264,45.21569185447755,42.233490859316944,43.572362744402135,43.365642451182836,42.28735659830589,41.649507234340035,38.2896475766071,42.73257607062827,44.66738291049823,46.022517618385145,47.5483197230903,43.52689689808352,49.05090989798,52.17886390169268,49.73485628903661,51.36536384605563,49.133890377845496,54.407888295296935,53.71234548701811,55.520858884565925,57.33208921084416,54.188178086029815,54.15140716586974,51.86902151119128,52.1945300172265,52.56613915525286,48.10803229940146,48.687780143987375,46.27503324022137,43.34387089278986,45.86339096838105,42.685079648877526,39.743305224332964,42.07996313192283,43.05516779053638,38.238852413827466,37.81018490535185,40.957444258585255,39.81221737612023,34.96120628077186,36.971258677471624,38.33592775252547,33.970672108129314,32.93875276525086,37.07989310655004,38.70616162615658,41.901697830938254,45.202605558933094,44.64474690765223,46.384651980862536,51.45988449668937,53.49608820743118,56.33472385734572,55.9676382093794,54.76504487382839,56.62282698486589,53.85271146499528,58.62140687910472,58.27884210422959,52.68485582830134,54.91777612227913,59.346625306580314,56.00750385791209,53.543339733998394,56.784976566836654,58.11367289180542,54.074040154130024,52.57490555636624,48.94927042503933,49.27465694482543,51.73418607487889,49.920148568321835,50.24123427416696,51.26316812351505,47.8688745090039,46.17010750057078,46.83781197034875,45.03938768036972,41.339806049820496,41.76683380334208,41.424485380812776,38.32420635469437,37.57447583420166,41.816183856350236,39.94767598189727,35.62831754053014,39.4212973970205,43.00481503215762,43.90168207247629,46.76448728085908,46.38429171320404,50.752363598523516,49.51707585380719,45.07425917498521,49.07094073369483,51.251353681634164,48.435710816461004,47.9279933727331,53.82228566703412,53.11722169187168,48.61024951055052,51.29057253079193,55.896564827458924,54.33875476047471,50.90463885128528,46.35374753370547,50.64193299324384,46.62165346811439,45.90456618901513,41.10217861769841,40.14117451425459,35.24094064320649,36.585250045158496,38.77647355864033,42.47195857605668,42.8160855448111,42.947407246620536,38.555922429308566,40.50925028762626,35.868971481657134,34.159352298526215,35.509478474855335,36.344729715754234,33.11735858009366,31.403138261569307,32.292472818970786,30.645227784468638,26.917333599929783,27.22008862035685,29.16043387988406,27.41626323680502,25.263913708975025,24.125006071245025,24.44460053606148],[24.65560320956605,26.064228797436204,28.96633328052304,25.45693858572211,29.22684325646641,24.251166450538015,24.44448636799241,25.37881260336135,21.152853959821975,22.297328513352742,21.45165294024224,23.54128665569497,26.479909360195297,23.02581117702327,25.69307068965989,28.791848208724964,29.48449778316111,32.41151375381835,34.93219592753658,38.46003054429403,41.09955133622329,45.38583971227953,45.936611681401864,45.99853321106749,43.92423851519373,39.438946851306795,38.79661349430124,34.85324570211309,34.26131907408891,33.442500902994354,32.694473716365074,33.78824862830474,35.142813631071995,38.65992612149763,38.60295860684135,37.7640009078528,38.301597641348785,40.17954382900622,41.34778520218921,47.72815940403768,44.92725310679478,43.85181263877493,48.223349369400225,49.30927042594917,51.22162961192573,51.69720970414481,55.5282951104234,53.97837716748186,51.269537674892426,56.584244452034,57.777568392162244,58.71946047076493,58.509703184656225,53.06824837573903,55.69232355269602,57.24895984727992,53.35790583314026,51.89245221209368,55.84620126167257,57.56000773254644,52.4548793149514,51.272305490042235,48.124387520973926,49.56227662642287,48.93906575244025,45.36414732604533,41.221211174863384,37.69549326285483,34.335816346199294,30.7536755795233,29.84882070761623,30.211344430096965,32.24365424513693,36.992264898449854,36.54142227387959,42.00464629068025,43.24437234991936,45.082282317523095,45.81917245825551,48.531480046729804,47.24773716058625,48.54572371137502,46.72523337721014,49.03092854018631,46.12158111606905,43.40186223581093,43.97056385618646,43.38296107260813,41.92626124608125,42.726309554124626,39.393481846504386,40.19568945163695,36.39773723086071,34.37956036914889,30.508498811409837,28.543121214617898,25.247837211392497,29.68331494158403,28.3958035777917,30.023058572317883,33.789498798228614,35.24253557018456,37.89432440544845,38.250084278656296,43.1428963795483,39.625187532989344,42.951451199402555,43.72167968366891,40.203972185939755,38.3988176390258,34.14321624183395,33.73175297539469,29.053088840472178,30.319426683241417,27.855663430162057,29.143352664636478,30.652458638448657,32.69377843575432,33.70863800090121,30.798784504526925,28.153072654415098,25.850502840006712,26.55369540082815,25.743072156289454,24.699808724639166,29.649729764135905,29.669749670993752,33.60917777080419,36.7956095124717,40.61162412389783,42.09576549094904,45.858455188055196,46.962246128037876,46.130064843038035,43.39682054263355,39.15877091863014,38.44619255270843,36.455226641077736,34.81690176633201,36.09472847888313,37.56021748320796,40.66144818340182,37.890343761444456,36.450375020290124,38.80911167517119,35.82230521168951,33.8941666098684,32.321473416804444,32.761159861073004,28.871680724746263,30.743339211977787,27.19112567669572,31.170825575051943,27.652184847511386,27.48819667895259,30.402093716520774,29.520332143883223,32.63177019476347,32.89243604003893,35.868880153894565,37.16031527655846,38.00361514375168,38.77594604743017,42.230990762983595,44.50795477501017,44.10548976192511,46.93121030362036,49.648077929672894,47.78607583756845,44.00584376563253,43.59154659661043,40.73720391603114,42.595682848199594,42.792810543340245,42.097559167058456,41.909017089059375,38.68007175964575,43.48500104821396,44.88407347703481,46.29740888145633,47.263129455389524,43.31451268691281,48.6289550345245,51.5648847310803,48.92686562234253,50.619544644076306,48.354647936677324,53.54620368795875,52.371147778371025,54.325063501519075,55.97806380462047,53.039540095786876,52.871085324696594,50.60515516523899,50.983620203069286,51.28832037854675,46.72312395132409,47.59728124086885,45.11866543701188,42.58442689504251,45.20798218547183,42.412518576182734,39.177192673180656,41.15372728689416,42.54300520572821,37.79512884412807,36.60425859644757,40.04023817543401,39.55227669854718,34.23023808887017,35.93920461877872,37.675368443116675,33.54602697646307,31.860977825425046,35.945315445415154,37.304430384440074,40.99238452193743,43.60104528178228,43.43835155105976,45.49904438553827,50.598798547561984,52.857454855894616,55.63600819956266,55.625994396632585,54.38749253304215,56.441830247506495,53.76964026560452,58.3833219427251,57.77295307286155,52.047386497381446,54.434366176028675,58.5924749054594,54.99350467503584,52.59159202492958,55.845897365946314,56.78174933723623,52.63418509919533,51.25414718743749,47.815420161884084,48.6427859593116,51.30490651633636,49.72816907899637,50.4436475756112,51.80260187956541,48.505104260144115,46.35032998098244,47.249713103362076,45.877197788385416,41.89268957096989,41.99004438311588,42.09377307238563,39.11580966421221,37.837430128217584,42.208629623519585,40.67174648412306,36.13480884288653,39.518324321445704,43.25777865483566,43.82253983762428,46.843341322741686,46.439940457822615,50.69688597484749,49.25614496365385,44.55989371928958,48.602192827676035,50.546687576645816,47.54266850136576,46.91877454179694,52.849191819642925,51.83215182902131,47.14053596987563,49.885940715463995,54.459588367626544,52.61881997392769,49.048388823536,44.38946920243618,48.414768216773574,44.18781138783632,43.821920192444054,38.927356004302055,38.430516697425865,33.597913250997976,34.339499985673996,36.61462959658533,40.160333420672686,40.72088668766717,41.341296083120525,37.05879132873939,39.377155172417595,34.68748092875461,33.30263715991978,35.38049662554522,36.491437547435766,33.67304209962457,31.269031787448554,32.137861210822116,31.143211455863057,27.188100348836436,26.770967138358372,29.20414112309283,28.175003646079997,26.228180658490228,25.483661817815705,25.94168860140501],[21.015105170206194,23.126765510225486,26.68787676645141,24.33167359888591,28.53592325516068,23.08746762702894,24.20338615092523,24.811672746531556,21.35781869263186,23.775925191112055,23.251887285045253,24.508055222263774,28.183543501113068,25.608303292809303,28.35996004787135,31.104972222984323,32.19774526965792,35.62295163212347,38.74425471554061,41.81838386529381,44.887591628714546,48.9920300960974,49.924258265648554,50.00487610347592,47.54833027796744,43.13918139545947,41.94735610277596,37.79574164505113,36.97031828893112,35.5485514081672,35.4668137794493,35.5401115472095,36.91380836399733,40.930244813260934,40.76509009507147,40.34819435526084,40.160081382351876,42.648743021797614,43.78119092939881,49.95032069584315,47.60679848330335,46.95565887050313,51.3231002856036,52.1989918751826,54.27558635220196,54.42661528601789,58.37466085861888,56.81747242642359,53.670644913605294,58.8670168550542,60.15494507057846,60.77194028954488,60.77433606699964,55.216857574509916,57.85501074171729,59.797197923666964,56.13750692151012,54.46006674098212,58.48164961790156,60.5351665956455,55.66295521173448,54.62680809538613,51.4017519989835,53.36604905133989,52.5767846057988,48.73248942429944,45.14675981195947,41.3313122605536,38.4850813562753,34.7100594087594,34.21637057655031,35.012122472853825,36.55440949799856,41.31854959218728,40.24231193147783,45.695041228150565,46.58257616156333,48.0959973563629,48.60096739512352,51.22948078126447,49.377683767521184,50.53682829925903,48.10222550771877,50.414771159045024,47.84114590199062,45.1745165231417,46.36014713041546,45.347134773172776,44.67051394674466,45.223838923517874,42.3525455873767,43.45570157643658,39.48002516069985,36.97721087904916,33.02725146588198,31.172304948249405,27.837982892350393,31.3114702896845,29.412937428510965,29.876366038965145,34.44906784338897,34.93250243540837,38.38846684695387,37.98055679587959,43.02446080884514,39.23676922715298,42.02745942613434,42.8993225399907,39.15223857100575,37.320229605157856,33.208489823394636,33.71601655405449,29.276797519736657,31.345005832293893,29.702629433442425,31.42270518184186,33.46930855281305,35.86585591240504,37.53879139837942,34.30846942331834,31.805243489337087,29.018773411259616,29.50736951890778,27.96710157011245,26.03893386200626,30.58835155484872,29.30519101020377,33.660922448347,36.48321073294393,40.43981878735523,41.764137065199435,45.275554612041304,46.971959381989954,46.0980979927639,43.802748546447155,39.81396093046433,38.83908576620154,37.673918667196624,36.621141526787355,37.98064686818489,40.22306765533064,43.67062894866513,40.92352414671714,39.00537453891692,41.27315309652244,38.09748831433484,35.96631335683932,33.84919194888754,33.57570282047521,29.332287473177907,30.25934156419099,26.4716386279177,29.814651819383165,25.628435283167875,26.498894588444937,29.86297893195537,29.70730760229193,32.40353996249459,33.59258043467098,36.106334701069365,38.12468097994136,39.61321289097589,40.62846533277405,44.08046706616593,46.15323210166155,45.99386653755185,48.28559462487589,51.17970019452137,48.92634211303835,45.4111206063229,44.66654035960819,42.120695901203135,43.788128004177274,43.89380120116707,43.19884143849445,42.57602782579537,39.74819996396058,44.18541383112018,45.98362525029712,46.97542553273206,48.26777676797855,43.70435369438548,49.048511046847054,52.15126095075299,49.81135656503466,52.07319094696634,50.27085672856312,55.428338559687454,54.53464386088632,55.96927611741614,57.42177489385639,54.228351688529514,53.703482735019705,51.13839514128795,51.145135595878656,51.06901746949621,46.44508785115028,46.78728533952103,43.9274573701069,41.236346421034455,43.23387845243028,40.2305440683417,37.36405746415031,39.09143219859931,39.894815030412026,35.15326815025713,34.424612361264906,37.25432025177181,36.1613977020585,31.157525866191424,32.79704199994276,33.9703140334458,29.7189279918567,28.44698527068219,32.24575470713243,34.1018304652123,37.11350940247678,40.64437535101444,40.357635446082405,41.947348510569434,47.17075365947984,48.96551840898918,52.098345484834304,52.06157289978765,51.18126321035865,53.343940841489136,50.969432766368165,55.74614125671775,55.003360842935386,49.593975480505286,52.21501040553513,56.42772374924769,52.9088532121179,50.78861803686902,54.316442815838755,55.21888961295653,51.06009288466762,50.2410655992282,46.25981374781079,47.189535268879055,49.48369759778466,47.35265421589508,48.03445160102117,48.87302874550594,45.928183449891606,43.93724189643468,44.11140830330875,42.695400208218324,39.103738797969655,38.89278533432125,38.43559774938745,35.403698113566726,34.269062729276634,38.24672355898415,36.34706063176392,31.839774739500516,35.31046830114988,38.86870891502232,39.81597399169028,42.99271300817204,43.02748660847854,47.30086313741729,45.58184888952309,41.319769339830586,45.641748929472335,47.4263887490852,44.475405864026946,44.42750845278067,50.210732734448044,49.09773967843867,44.785661057772536,47.879802684163856,52.18376047161451,50.34568662363097,47.03467925714295,42.45371258498531,46.530762868909655,42.46865408713533,41.38606768310329,36.81641082201033,36.08306885662731,31.266945008916746,32.56152443946654,35.08894645455122,38.803182694428976,39.54208894490788,39.68739375760635,35.83186849784793,38.222413352362075,33.92311740786845,31.65074829049254,33.462380401835304,33.9236865105297,31.29328935184516,29.30965352088759,29.332531153269528,27.914298359416645,24.920805652115696,24.142298931865163,25.56912771605465,24.221125306202104,22.597898559523383,22.001591906734937,22.87945291301163],[18.044455670164968,20.438196447225142,24.389219279443157,22.473048234506937,27.06301114679096,21.84985658668457,23.58107503839265,24.450817328610427,21.56523308920704,24.450405298297976,24.432035697687127,25.593053461441308,29.140818886511802,26.87304580988943,30.00519850374941,32.531352033294574,33.426574668182404,37.150586320921796,40.323648151854385,43.223879055569405,46.42827399896543,50.41669458959691,51.42834484028848,51.339490181187855,48.735321318180105,44.39220213368103,42.97458014562549,38.80151451371791,38.15476704114063,36.66364398106383,37.23231628400615,36.86930752710937,38.52836526639437,42.705868490000775,42.24331785102975,41.78443571187357,41.237935210535035,43.69376152000491,44.60541092389218,50.6599526016224,48.32710160398257,48.05932996135932,52.45962500488381,53.105003266385125,55.10139500154788,54.97620866709509,58.996789290469145,57.61893000728236,54.216306565147846,59.26906508944722,60.789940739195806,61.30467307284581,61.54430089676801,55.94291802164731,58.73384459366466,60.81572659036042,57.245461582886605,55.6398000546397,59.76537204118405,61.825795267422095,57.07260699552295,56.30951412405142,53.184657738649435,55.26534382996479,54.232204612864116,50.31577571865625,46.965125533360215,43.15249422381588,40.42546083424551,36.75732946263127,36.29586639445378,37.38476296064071,38.90256153415473,43.56316681247981,42.345164570639874,47.94101015566105,48.47318898506239,50.04770909048363,50.27462322243549,52.68956765934375,50.587646332016234,51.457726385258354,48.80669221807772,50.87625971510168,48.34881981608364,45.919466516157435,47.44655949121497,46.49726566307265,46.15568428105624,46.94184260668319,44.267550577035166,45.690729640177324,41.69460176626493,39.06584653687105,34.94913585676629,33.38242372646591,29.856895241578652,32.941722957111665,30.69595150456984,30.804287040238695,35.41073602094074,35.26463182385746,38.91742677665954,37.94317721862895,42.78259131539796,38.71993499988862,41.20453861333937,41.877518978893896,37.9329968571106,36.34329249753281,32.19648657173522,33.190638881946825,28.965790242447273,31.223994058090106,30.163686226204813,31.833033739832434,34.26663214689536,36.582307436791915,38.79333118064789,35.65831875927896,33.07752222109755,30.09508125738161,30.126227753497272,28.283318998443804,26.00687572763261,30.157592080515094,28.33523872365832,32.87006874943104,35.49557249023317,39.65516772825219,40.597902893424084,44.08744056439806,46.01442641062009,45.37031040782099,43.06622514911691,39.2552390030561,37.88145360770912,37.14484261467108,36.33334858628435,37.93335408387228,40.39437298226158,44.12574396468907,41.592532296207004,39.46397744028921,41.827609066225236,38.78980337451852,36.44731761298184,34.28710834871424,33.69757101764558,29.435811372481922,29.9901917356045,26.458912411602917,29.673397888169625,25.563034072603784,27.023608446006836,30.30017521824596,30.249754655919517,32.518912952804705,34.08487872043322,36.044333162380475,38.118658268852826,40.065021412129646,40.841478288586195,44.440907821828425,46.17446775785864,45.85602107272153,47.8927554143368,50.718819887485786,48.203411454731885,44.846933398118296,44.05967986700114,41.79964152263667,43.59936844600701,43.861382142146255,43.38147683562644,42.74304013125825,40.26790660475193,44.63558170003521,46.36394253566089,47.11745386357129,48.29307430868845,43.42490538710048,48.625987247074434,51.70590156567054,49.46534272667162,52.10217798495337,50.586958134630684,55.64537007125355,54.68420181158714,55.855585840395136,57.09152027936103,53.861585116242544,53.04925678728586,50.325207694286235,50.1280351157494,49.780593350852804,45.09655402142801,45.26032903989494,42.1520198615005,39.59852983520914,41.25064219489228,38.35618327724221,35.581480328308785,36.9397768887587,37.603769846741194,32.94654564300514,32.09397852918146,34.67887650512697,33.59146223651545,28.562754158439457,29.979224330769593,31.006035010419943,26.846864180560758,25.477259318985496,29.04928682672221,31.050358839441355,33.9041488679164,37.604514470802435,37.437575899098825,38.91277183533685,44.19876359544014,45.84405466372175,49.1315144789955,49.26566521487957,48.57171530168331,50.89424657161678,48.75767158162864,53.523800186791725,52.56208949402607,47.29180785585073,50.12213525894968,54.20440606964843,50.6122404298209,48.70304972907185,52.38604869995725,53.061146431430906,48.86134672705889,48.446542241522,44.256040431756645,45.509194106365236,47.675230922624344,45.353755039297425,46.23267055948643,46.94985867707184,44.29086912568561,42.1488423693888,42.02083367386519,40.841000239041634,37.34641863548006,36.75607330898109,36.23188534823319,33.2705412779922,31.913174251541875,35.70040863609373,33.80405512918703,29.220361337728637,32.469506884665584,35.99446140149854,36.963230477169894,40.30092004226822,40.5764757850103,44.77397331938418,42.79055578811702,38.66308336443584,43.15080214108943,44.70799992744458,41.70278927651938,41.93396880600706,47.62142407218253,46.30155817718626,42.13810122025771,45.454909425694154,49.56523354129721,47.60164668780169,44.39131785270177,39.82929748469662,43.79863117219332,39.764921063260786,38.42399993378612,34.02884265098083,33.37530831247651,28.647349860952822,29.9804172877801,32.67609745260172,36.39097626675808,37.334934425865555,37.427227782830556,33.93128488540048,36.53375882955561,32.50795825388138,29.879999175391387,31.909576791703806,32.11884533979688,29.889019941011224,27.794064252292195,27.264224568295447,25.9978398610792,23.54707639976572,22.111910670652673,23.14859497918272,22.0826089203194,20.84741995536246,20.625568313865497,21.84439114830505],[21.034365481841892,23.76772802420156,28.268556122804167,26.50127401106396,31.667817127643524,27.13632030083636,29.254698426035088,30.500905466247314,27.792328113129358,30.573656048840437,30.68915234402856,32.02725823291295,35.399143075480396,32.899380324241164,36.168027730208486,38.78783170896264,39.4529166399955,43.112786388246754,45.97085026693025,49.07998986720507,52.10683956289579,56.16154725862035,56.9495214183123,56.68030737309282,54.2527551422175,49.884761184018934,48.66594598445061,44.58506072682809,44.19942882064494,42.91524502240502,43.43027079189017,43.26862444351793,44.92160617975145,49.03132184497679,48.5979909172766,48.012857131439475,47.575096746065974,49.80520980226173,50.58125469848024,56.68182303227553,54.07456872024299,53.882557947215545,58.33303393065212,58.90921733199203,60.70899478507009,60.50613248826923,64.53339143734092,63.363993448323825,59.98001432367281,64.95637676777402,66.66999523751075,67.26625638278784,67.60268734926433,62.00449882878567,64.91178216927611,66.93299773923853,63.29119079762307,61.81624802008213,65.9800425733506,67.89733407887702,63.078159385009,62.3533362858973,59.276369417175694,61.13562141287099,60.10739588110231,56.29647826549761,52.705104611188155,49.04288578195153,46.03072434939842,42.48825269918096,41.77022032363857,42.60931141496283,44.470542932266454,49.14199264345829,48.2424374175801,53.85078148363511,54.53816957280459,56.222901174434924,56.5170332780164,58.92694967994503,56.92412851938458,57.72056393143503,55.13432931430794,57.060707955175616,54.43197567269439,52.14234432373462,53.632531261385935,52.84706604681407,52.36058298202098,53.246679135375494,50.4427139901631,51.72948864184094,47.7680794100085,45.256374632321226,41.18306229825414,39.500317945432414,36.02671063694314,39.32846534311649,37.15137623870413,37.234630313700606,41.88187259296957,41.63445341449936,45.31178601920395,44.157050329912884,48.83454912082014,44.59518607060761,46.88882960290103,47.30960160340987,43.18381093620124,41.909652425199496,37.69421541675518,38.93271969995543,34.82483978722329,36.92003738394302,36.01534564033357,37.362656040644964,39.8856915873857,41.825862526338625,44.12700754128511,41.312442107715825,38.521309266947796,35.680688748133804,35.33392830490085,33.66794014796503,31.541045409270836,35.46719632702233,33.63666899245648,38.23177753697011,40.76721840653857,45.155903504715084,45.600893905369205,49.188164963054405,51.18041043326774,50.892537630724235,48.34478521770369,44.63711135906922,42.759577546333865,42.137451717724296,41.22162792488553,43.19093823717386,45.303433350652384,49.207945231819224,46.95228469761411,44.928954279711554,47.50148467235993,44.70222517127428,42.253916921064715,40.32508469852756,39.76109806635381,35.581661800214064,36.094675658731276,32.740832421410076,35.864229307409246,31.672797339974593,33.37593085866525,36.69426975416962,36.66983003726057,38.81402520419797,40.4255252003903,42.15085960893515,44.02346666697256,46.1154035987294,46.518056723707794,50.30774669476312,51.775798536674145,51.02848243076646,53.09174308685675,55.658655524847504,52.967882922275734,49.66188991947071,49.08402470563855,47.05698200429463,49.19489336529952,49.69825781616543,49.428644436233796,48.91946649515152,46.55754229760177,50.9754020943871,52.574013525298554,53.278966228198755,54.2465427678332,49.302175407026475,54.34188404686523,57.323884004789285,55.053960677840735,57.85383497414242,56.39667510153037,61.37817817988217,60.13017828296269,61.31065019200008,62.362436957335355,59.248378509481235,58.21563494524326,55.412943795218446,55.101869622458786,54.49669272289307,49.72784582839212,49.87916732415124,46.49122888699596,44.2956930260805,45.55336681037199,42.93810338724574,40.227095187155165,40.95507410582928,41.54268165066996,37.10103004718456,35.775449272627455,38.0365568767276,37.14846527253739,32.06856464213864,32.8820071767255,33.67280926667682,29.884939254290003,28.111909955351887,30.923270441792642,33.143142145390456,35.73294494998219,39.48045287638909,39.885539276484295,41.18667478955914,46.57591861472043,47.8363840857375,51.513274064137185,52.1267495562905,51.8423254422197,54.48049600076118,52.785545036704576,57.47781897043971,56.09752882077865,51.07288027737632,54.24740676470023,58.01960787128821,54.2342431585634,52.68544946520568,56.5560574513129,56.71733796312435,52.4231448467872,52.6245584888415,48.30246428183484,50.156054297862525,52.21682274025496,49.716166518223844,50.904323558731626,51.44385106828153,49.18994515507851,46.86988926595446,46.311693322735586,45.44625621887019,42.15895764432686,41.042952252000596,40.36146666579666,37.53183696630273,35.90418125629367,39.23542911797164,37.263885138419084,32.67421267580482,35.4345846163378,38.76470934196415,39.842757415799326,43.502625338387304,44.27476321190411,48.27671464081434,45.73976162560289,41.92721541119039,46.68978135203614,47.72144114755455,44.57270825768525,45.30485650670011,50.77081288948972,48.88550131554551,44.96767277714651,48.70481394513642,52.40397316389483,50.00200579530885,46.921057409330615,42.34846987109498,45.7849782102741,41.60437365411573,40.04640702627594,36.03977221433011,36.019454415060444,31.600796347426872,32.413758713182915,35.488457521316136,39.007546158192575,40.498180463719386,40.898169325238015,38.01402922295345,41.03890011639066,37.30718957864,34.50939584930049,36.969930743493975,36.92958030336567,35.19710774350205,32.950740958794604,31.779377525993567,30.769248523278442,28.96960733305872,26.739517600326053,27.24283877769004,26.56569731300707,25.85115062025778,25.9549468183986,27.365240189024185],[16.777272234994783,19.85189657206453,24.37262064021856,23.670891642273805,28.53245350141516,23.52899320450002,26.02393592095117,26.775050643281062,24.748639038740222,28.259135379667853,28.535878272682734,29.207878169426294,32.95527159045854,31.248908126453987,34.41866632187683,36.66755641289014,37.67599986192291,41.63719330312969,45.03545468026019,47.65687406209384,51.056884031286486,54.89278794531676,56.088227455014376,55.93947867644062,53.14784718378229,48.90405091145733,47.18819763292348,42.97828504669316,42.29796153294383,40.52154486760078,41.568299602515104,40.592428002570934,42.28488131143115,46.69362103779805,46.12031873395122,45.878524341762464,44.866806351954004,47.58996219253676,48.39116842752852,54.2191254427382,52.14273940217503,52.2199214340053,56.58561973835424,57.040648370246345,59.06060173860444,58.667582561555676,62.73780928161393,61.44711901932404,57.75700638983616,62.63762179620346,64.29211766464326,64.59093318215291,65.03347283787,59.406013233970484,62.228596924549784,64.5557805205295,61.16890249384379,59.48859570764886,63.649364763247966,65.8775177336693,61.31053488741372,60.704333728647434,57.588025306772025,59.93578403133502,58.76882189932158,54.73610177062056,51.7289472562188,47.8244276634725,45.369704984727875,41.6861198225022,41.39443085657441,42.683874435297874,44.00514478740489,48.62007858495872,47.11443877749055,52.68012197926188,52.9708814501329,54.37781969518437,54.423403668791295,56.71756232828511,54.26469254523556,54.96037095030917,51.9270270738381,53.881598918392605,51.59433457608375,49.3187897042086,51.26300840538844,50.118007215811836,50.28447176120437,50.985763406221004,48.62394485759938,50.2347370765377,46.189547800097245,43.33280422787068,39.22869723515773,37.783676309194064,34.30093544341441,36.75468399870025,34.17405273134296,33.493372295726765,38.45623406188623,37.52686632901886,41.64698102979244,40.02261387978123,44.757906911407844,40.499010959127155,42.42312207788669,43.0433774090659,38.94211209638481,37.518434624912715,33.59003563773572,35.361354557374284,31.537660211213108,34.220638123408676,33.84234364684459,35.630759221504256,38.393697516856065,40.76866664592776,43.41836790218212,40.239335279406866,37.726819746443375,34.557394005153505,34.32292485486627,32.12092431470873,29.397538840970995,32.9904189703719,30.25792735168701,34.9500461335924,37.16851456788739,41.40912961252181,42.010874824707614,45.26039456465125,47.63809048337144,47.11175936860762,45.0984966090111,41.60814722329129,39.89491840423164,39.84156756885903,39.45140559048878,41.18803949317435,44.04340120931934,48.0106540307156,45.625627918132565,43.23441831430955,45.56212904607374,42.546326616062956,40.070740395570304,37.68212054237023,36.61023296911741,32.29828509327874,32.11828006845724,28.709843630281277,31.27734677107195,26.91844611109549,29.227500904755853,32.627348617320045,33.071090879493006,34.85562430941613,37.05835680017576,38.48219361944453,40.937099237268484,43.37333801259748,44.15424630298345,47.75529735833425,49.20358146417167,48.920659175328574,50.53046144887163,53.36198453816974,50.53025530944348,47.45151049928761,46.4956219164144,44.5941772182036,46.33484263100737,46.619474426724146,46.242754507927025,45.36304154272149,43.302051824852896,47.34125102238046,49.2487831326787,49.652549578187326,50.95078569325787,45.6776763709115,50.73283223491043,53.84969266621513,51.859906923239,54.952328019019625,53.828331678696856,58.76717084393368,57.921718817242926,58.689074154378574,59.69163309357315,56.34850529080871,55.1944171429591,52.252529335427404,51.726719555684056,50.99569764302498,46.32014291899457,46.05069304305583,42.599293510641125,40.10614210932002,41.05724326997669,38.16594250630074,35.79531302505318,36.66970018657865,36.7881826018342,32.34453139310928,31.751075620752502,33.60471021677323,32.08183948898278,27.475263611192887,28.56066537659695,28.943029253875423,24.930088379190018,23.873651995882515,26.780709623926967,29.280504466360167,31.32896491427392,35.834405952977164,35.73031620839569,36.69355729043353,42.04388620395446,43.14774637632291,46.82109333075984,47.09633096148463,46.85368227571839,49.354134917360966,47.65374038467477,52.465419105688234,51.255359569937795,46.39961191632848,49.50813996325503,53.47312728058594,49.92608337843348,48.40002381736446,52.315149639536884,52.784746948766866,48.609126589499844,48.86274565726743,44.25825306277039,45.785965368967275,47.576981282849744,44.776745272808,45.742893793040466,45.966730058077246,43.80765511340763,41.74935805915782,40.85784585145136,39.81501136104982,36.795020339671524,35.72548309490951,34.68888409917599,31.81385097320016,30.47647511555721,33.64778982443062,31.456435915153158,26.98710013010208,30.025961207559636,33.25546903642459,34.582027389743,38.12789286666605,38.9632691357899,43.03397649385899,40.636631790147725,37.063831118580076,41.8130328614741,43.025112811126526,40.06477359133493,40.95990136689874,46.353035073923785,44.791312599344785,41.1056442330903,44.79343939802823,48.4832436423535,46.41995438319873,43.52399350069523,39.12003972347565,42.902799050024555,39.063449796645706,37.046878913079325,33.173560590238836,32.50532424821799,28.05997825341862,29.695817094777762,32.622253732133274,36.31087180689992,37.54004442667013,37.31317186094627,34.48664086637127,37.21241852496733,33.74594900819323,30.424442181634692,32.33139477003552,31.888291306266844,30.145670157666085,28.39785879086494,26.8812865382734,25.43780315657393,24.26892500310657,22.22041076271217,22.02816191872364,20.94719296801137,20.37666975477338,20.53963488349631,22.150705139373517],[20.433287483688705,23.313742537112375,27.401850630606425,26.53213298310859,30.855640078356164,25.136427262856813,27.00883015797287,27.066727606835336,24.54180878608721,27.893558263914045,27.476805535687863,27.81573408803429,32.13709452578711,30.416562603779422,32.92343476018714,35.31791805618071,36.88953819097926,40.56187604725018,44.1844504060061,46.84193419509457,50.22894388853761,54.15482839572063,55.4268704712015,55.609545343001564,52.86872558584798,48.563144881803474,46.94808905721078,42.67833681728851,41.54349451070024,39.55702238027055,39.82245083494642,39.035015873975645,40.210199245966315,44.58154574851348,44.481944965642704,44.567661969393455,43.781873592676554,46.90746413031981,48.09281900898018,53.9766162851999,52.16609042531888,51.786237453413975,56.07170441719481,56.82686118762181,59.092768622143275,59.02273388209375,63.018502058558866,61.38472044006611,57.92088496328901,62.98863421851636,64.25433288342525,64.54579248334674,64.66833911474237,59.07183726655581,61.60384573179061,63.88929862401775,60.489868089872665,58.55540732695748,62.543029581773695,64.95941313602239,60.32979793281018,59.31195936876673,55.98326293162923,58.423046460551014,57.6053969885316,53.56203864943348,50.47443860175301,46.42146661972118,44.06487559547083,40.11541749418063,39.997451159590874,41.00722367927994,42.08833914916375,46.85394502255802,45.25382663559245,50.51735388408356,51.23414139470801,52.330208202541954,52.73798161234485,55.35820573299163,53.035271371965834,54.17852592170138,51.19187090964363,53.60117769396595,51.44004842650571,48.76185685865266,50.43643767416202,48.92685635871048,48.94680767932255,49.07463955247269,46.651931608923746,47.85822099328563,43.78443214194451,40.89797853297644,37.093349852261426,35.23785670763828,32.12720209574097,34.64640752249589,32.35535597457085,31.594245241160547,36.92456700679588,36.551651661200886,40.769693497307486,39.741032363308086,44.92438743421093,41.05447179765686,43.225353977679774,44.298359201374325,40.46244507709759,38.546388927062445,34.807745969363964,36.20186823870579,32.157046418753175,34.940374475495105,33.979061962695106,36.090231906038866,38.432868965944905,41.14744567113017,43.17383029997987,39.661264762333374,37.3873963349893,34.32834814982914,34.79601658303014,32.751117743075646,30.18717599915704,34.25048906293787,31.779024214554422,36.345360737793314,38.70686535792032,42.61325256905409,43.87013248298258,46.98862820838736,49.27286483665674,48.26619068151478,46.555191865660426,42.88677192709491,41.80073776303688,41.42022331433467,40.92250439991369,42.238753515634485,45.13465641559729,48.75316949729792,45.98796296995426,43.71770278090711,45.79929544183069,42.43287041119931,40.245820136277835,37.63496563962813,36.730407167718226,32.286906303749305,32.21552844512557,28.23468849081322,30.587729763506626,25.71101880471831,27.59350427258017,31.379148165936694,32.08332475706757,34.36473198763548,36.4221562852916,38.57614978046913,41.35204775638356,43.30296737313367,44.67337530946123,47.97507470374205,49.93781309274709,50.11632987600628,51.88461271186691,54.95262333078881,52.405648644811876,49.19019254391265,48.11279378239249,45.85047861698341,47.20868553304782,47.134623529880756,46.35095088979012,45.23896711503997,42.77912457010935,46.691709084423664,48.96541371828461,49.55657545548288,51.27287351020667,46.23089385929741,51.55688733871478,54.81123856133242,52.82135665988821,55.528892340728376,54.14422818533364,59.23298011269504,58.695833393670796,59.6488143369412,60.950420630126246,57.522492855883485,56.719883600048114,53.918794619148066,53.569676052565804,53.14624282993315,48.5696610167515,48.32236577980598,45.15072967225263,42.2791790494999,43.5365805589375,40.292632311028925,37.9845029709838,39.46455936191747,39.492655054145104,34.894238153294346,34.87472037191397,36.849861391670586,34.919075762547,30.60387316125198,32.13690336465634,32.47416657016309,28.194117646729786,27.645906924951348,30.884339628326128,33.35692549991657,35.30792548555008,40.01878182872588,39.54440829622804,40.44893269916976,45.71465573968647,46.84090834364778,50.39551364882373,50.258541326161165,49.84118195119463,52.05749889474669,50.04857953566148,54.97546854041498,54.14898826121407,49.222789479688586,52.02757059033431,56.29288687241674,52.97010646442,51.183893840256154,54.945801307987935,55.87104932515334,51.78721345794834,51.550562643551615,47.04509877222078,47.95631181695509,49.76860106414133,47.011162747321315,47.539531500909106,47.67315047338698,45.162620628681175,43.52948149048487,42.795282953888666,41.23413897496486,38.2847506332176,37.80799961827253,36.544014548904315,33.49700425175004,32.737778279737505,36.04259156817137,33.61204700570605,29.35470861344129,32.93289499778085,36.10233904663002,37.62638614726666,40.89826337895562,41.49458790540185,45.725812969850125,43.735976551935735,40.1694565135863,44.72094751283252,46.32257470501997,43.53063911251395,44.19012357834256,49.678381445893095,48.51933677723136,44.76986720569788,48.18494618141832,52.10785142425722,50.339778883057065,47.40831609055168,43.031617772248985,47.09361308920019,43.32195750880316,41.41189522448948,37.370787226897406,36.35009648514174,31.739037198075096,33.66255430193561,36.36554041525756,40.15308498576753,41.04149412466998,40.61004728563014,37.30882436330684,39.62851864274175,35.87011720922658,32.72121047514545,33.999961834365536,33.64781377291503,31.221125033124792,29.989600420572415,29.062257096255575,27.02612083121046,25.41372347493056,24.46933623856859,24.420591038054745,22.528482405040407,21.391950191828297,20.90120765797377,22.150827581899915],[23.212486208618564,26.30430214344318,30.700230582192184,29.932365832347518,34.55903045815602,29.109843472859744,31.157002190905708,31.36239243073181,28.8684937610756,32.15043348878629,31.724604491458738,32.139078743263994,36.43865636555774,34.567413391669874,37.07191092074119,39.550943735938326,41.08089229517656,44.68457037447512,48.176352287252456,50.964725967364544,54.25945042973862,58.244765297361404,59.410791810290924,59.552064997395085,56.907943598725204,52.565287270274915,51.0697368929958,46.826791083444974,45.76521556676869,43.85455670503675,43.963832007588984,43.31602696602504,44.39351452344681,48.72108788464209,48.727520231167745,48.80641913207541,48.10893409307156,51.18782727409369,52.36034502688033,58.2841419384449,56.36711909925335,55.963288940986374,60.27254799757049,61.0380353361144,63.239322461651945,63.16913332727976,67.16858613966708,65.59344869262262,62.15982064625835,67.21904239711724,68.53502545260022,68.85879561123124,68.98886977358956,63.392599213439986,65.93058077793778,68.19135411457735,64.75609406091843,62.84119181593442,66.82114038524425,69.20563372775173,64.52675735723628,63.451956222188706,60.105915715581475,62.44498400079163,61.69622847962293,57.703365412688804,54.46238784051854,50.46070427660998,47.953445384764635,44.01823321851347,43.780576504156066,44.59390931655798,45.83512942551612,50.64787860680374,49.20894775978482,54.42246911688965,55.31421927508834,56.404555747107004,56.921162215619724,59.600829270401604,57.34401180828864,58.52429511141127,55.56048446892808,57.964587218341286,55.77866249008358,53.11327496860477,54.737985453550664,53.246216202075374,53.173654696004114,53.2435403426789,50.741739080621976,51.78768933783611,47.728672745481774,44.902342811690424,41.18247304079118,39.1826351589553,36.16999538093009,38.828303111857196,36.6270035714336,35.82490602630301,41.234978932298475,40.865048589610545,45.130337811504496,44.0639932859619,49.21991717924979,45.295972273191374,47.36270873792002,48.3592351071465,44.442525975800216,42.640784535342135,38.89568927491022,40.41471306066095,36.40224342907317,39.12648496138578,38.18034262111752,40.164732971772835,42.51666957752478,45.08430947356582,47.07928978896878,43.68251571626597,41.31170901412236,38.33094488512368,38.68275575605186,36.740642251043084,34.257848161903304,38.27821250705878,35.79736055484803,40.41213775615736,42.7349042066711,46.73950344272045,47.79376178236279,50.93880380881404,53.28286627642104,52.408507646260205,50.6198672217548,46.9877879357793,45.68592406066792,45.35107591180414,44.79077470371334,46.267996599913204,48.997950152391375,52.68558905956283,50.01021651689479,47.80160098037878,49.97148827063143,46.67485913759546,44.45915806455556,41.933356700764165,41.05314987942507,36.624193853233365,36.52887342415712,32.582724239104046,34.83053048084626,29.85681558851585,31.831388373184826,35.68229744198808,36.45062576225983,38.71544295117738,40.798418353259706,42.91000423942504,45.63849733662205,47.62143762649562,48.87316656189087,52.24820713469424,54.13562399070292,54.145640761653986,55.93804180512417,58.906556609382136,56.279366631807754,53.07555804831576,52.08524241989354,49.908929562970506,51.40313556496991,51.4109210608399,50.68513763810354,49.59625743700363,47.15261135700175,51.059308667590656,53.332803777304925,53.90954172546271,55.5869525895168,50.50783075067039,55.785560867048645,59.01466354971929,57.020730174527515,59.789293488864686,58.41175723503462,63.485514541676466,62.84098817021119,63.81038560870392,65.04641964855836,61.65274872535594,60.76291639863625,57.92022975038638,57.51171040433308,56.961877339116185,52.34280160103188,52.057592199580384,48.73542550599578,46.00875460408678,47.02993095432379,43.88799789610417,41.656216277809875,42.829178420191575,42.74832133228285,38.26660179117214,38.08048300958498,39.827438787699684,37.901687643513654,33.64031368238391,34.865017598774045,34.990380833855866,30.903456671329145,30.22635897761157,33.012629062619474,35.66492223580682,37.34624542010797,42.22734695480356,42.02474781120472,42.75283820827229,48.070929213357374,48.8924520892341,52.71090111592408,52.79524626906874,52.64998673603854,55.020671955159486,53.26996863483251,58.17909019513414,57.14855365779953,52.404223822775904,55.38680715812645,59.51389454485698,56.12426724478663,54.541196846619904,58.41417819156115,59.101848700522034,54.975671497405465,55.076069724754525,50.464357447422536,51.645333877491815,53.36607619497679,50.46065833925061,51.10145357355516,51.056907841835276,48.781542767484844,47.129511216607604,46.08745266619592,44.63834636222864,41.87921176359518,41.14361980544965,39.693454114814315,36.715991512631554,35.893799039701484,38.87147934642221,36.32227855046364,32.13165625820608,35.471519525308864,38.46334174706238,40.136611629657416,43.57120790827928,44.49000230500835,48.614936720136875,46.32074489763917,43.014398717631515,47.72208841258593,49.04388571964475,46.2042566323055,47.19124417998997,52.53779666029084,51.09129123602037,47.527087991877025,51.1829370519082,54.86425657638262,52.8838088451282,50.05480812279109,45.686778207967485,49.479896544016555,45.65134694180002,43.556655110284886,39.757693512817255,39.033847440937656,34.58341129935108,36.29020577774798,39.20024069738693,42.90395142254229,44.074949755867905,43.75725324096343,40.77219671999762,43.29018450083915,39.67658841277463,36.4051453541382,37.843134929991486,37.313746580283926,35.11443814390674,33.88116855974094,32.60323373821531,30.632411996902174,29.408035163678562,28.098085196738168,27.698023327354537,25.948679062847994,25.10146716350387,24.75248497290129,26.066879761263152],[21.564615831607284,24.888098880087878,29.39191220828599,29.42658558994737,34.00143409129934,28.655204183021375,31.10977319790163,31.193942945228272,29.325897993817428,33.036400028199964,32.88452935679715,32.96199760167428,37.321837020536016,35.924006805676115,38.5158228740091,40.72795145964985,42.303029389880535,46.128436123914604,49.83452330593204,52.341283286553235,55.83184479843294,59.66556612515025,61.01895270172621,61.13281616563246,58.27807141950195,54.031576800528555,52.24527048532801,47.96952402079165,46.87783626832767,44.74509427932091,45.35142583808541,44.1692462526631,45.36448202407222,49.87021963578952,49.695383143330055,49.912967596129086,48.804460209133346,52.06523238188073,53.141958962051035,58.85306893600376,57.17252669815733,57.0797669783044,61.3574677499073,61.93860439966052,64.17111950094504,63.871933970332876,67.9144101338879,66.39720353637011,62.7209208577879,67.63332592819991,69.05369453764678,69.19310164663949,69.50068168436323,63.887166206518245,66.50241029607533,68.93629130127638,65.63827956988672,63.67697934794745,67.70140891816129,70.19516799731575,65.69848370661686,64.81166132881974,61.50585348572895,64.09911996535807,63.173700489176845,59.075680591857015,56.18983844789714,52.107097271082274,49.877191860754614,45.95123808923879,45.88740130355338,46.99161986443153,48.01994550981145,52.7469269431569,51.016627949788635,56.251010996465396,56.82640809002752,57.81430401648961,58.10530559028824,60.63280657525136,58.065005723029174,59.06131294537485,55.80138336583464,58.09632713074958,56.102644545554206,53.572669267292305,55.54999016919753,53.930434382676076,54.30246897786385,54.382773839546466,52.172850477020916,53.483305335552224,49.39895253134741,46.383358359222406,42.611360673832024,40.837205515232164,37.77542591703184,39.88118280895386,37.38264754725872,36.04625845316272,41.590020704095195,40.604765931014384,45.14923251636016,43.596583310960554,48.62574760353377,44.604141882687856,46.28617627071378,47.26759578200715,43.30108563357982,41.583078617320005,38.04062364308024,40.05100723265704,36.3523487411985,39.37757057448626,38.93698356450612,41.04340636547872,43.64595246100644,46.30942568364364,48.680732795019495,45.21134591019183,42.9247229385199,39.760825334407485,39.93881366338756,37.688308270924885,34.86068149988448,38.48037533284532,35.391287454089664,40.03872240080557,42.0664204702779,46.05800581555533,46.94993303030044,49.87995831870089,52.51688245822389,51.67550148013533,50.14796289487484,46.749130553937064,45.306629438309976,45.45880705841907,45.24354439564529,46.73851380238679,49.8280751177161,53.65886778133848,51.06773357208636,48.633305563612986,50.737319730966156,47.45015822007747,45.145887891270235,42.438091057816294,41.195781833210454,36.76221480974523,36.158138318815006,32.36420970862319,34.18521354929391,29.19841443811031,31.732105662241015,35.55218295993979,36.61509454859295,38.48458502276658,41.00594838688789,42.692289370028604,45.68838992587122,48.02517343453409,49.30551978283833,52.64603287210795,54.32994398315725,54.4432155872963,55.89174960855438,58.89689379130104,56.08517251037461,53.09963247510905,51.94718579634692,50.008482921035984,51.39515204587787,51.390046329412165,50.73124142887647,49.466172480451,47.35674364124735,51.009522556628205,53.38644466425154,53.69447066801138,55.4536105980442,50.11285123842754,55.267341492052985,58.51946301142482,56.72536783045221,59.803355898020584,58.73375569701356,63.69965759960417,63.196570307515685,63.84131708979855,64.92131568692095,61.43316352336423,60.32986391308604,57.356154024558656,56.74017489574216,55.96940083117548,51.40893738819361,50.814957482431986,47.33934672903669,44.60517023236774,45.208111353546315,42.04647298623277,40.11117024102035,41.07027720634218,40.62400725383875,36.31219503800643,36.42573713302938,37.70739445263187,35.45204146355866,31.593582316256118,32.71513903832344,32.43374272124173,28.45654523491336,28.141224957288426,30.580748849637246,33.46109008869437,34.599928122812834,39.970927936131176,39.6557434257737,40.05015318547763,45.31876021520661,45.83575871630732,49.80388828931209,49.86237821870589,49.93769181151989,52.33981074150119,50.81218601031611,55.731741558808785,54.62404785416722,50.156276484622786,53.231846330306716,57.315774044741794,54.026699404752655,52.64496541082043,56.620384122176084,57.269610554343785,53.210567047391564,53.64462316195426,48.804403899475446,50.035762453751865,51.502080389140666,48.32430129006966,48.96272093547278,48.61678325960491,46.63929054206272,45.08286408356724,43.606281897707206,42.21684893414109,39.77768857977763,38.81540994115393,37.06261809462745,34.16982971462373,33.430120874929564,36.019665975576494,33.317926868477606,29.30346317160294,32.53973356731402,35.30845156113913,37.19109678051646,40.64463183079,41.83360329185569,45.8678007351358,43.43770318216427,40.4926703541181,45.259298449720355,46.45037473387466,43.7119282372702,45.03479323394059,50.173187704486914,48.714310310528184,45.46639047495807,49.24347478848304,52.69329616537487,50.77984441455164,48.171341815373665,43.96625706111427,47.73548441003063,44.12590643870416,41.636438733870506,38.15850791130252,37.25959260529416,33.008312294668904,35.03486615245122,37.95662158562347,41.6416214241498,42.849718154556285,42.229869775488964,39.60249087758474,42.079469537355386,38.83623819717486,35.173619362551165,36.4176272742511,35.49270177244593,33.57704895771999,32.6278079237533,30.83574469951144,28.734782758495165,28.28914652688822,26.772157741973032,25.647246568290917,23.84434306408875,23.416375381617595,23.304021832957392,24.83855383222312],[23.45391717611163,26.865831722977767,31.414580780460643,31.71932450134612,36.310114768336746,31.038464971440394,33.59368950293551,33.59142020992111,31.856536606690657,35.63974953170435,35.455903916023665,35.40027470528997,39.85720050055902,38.55363819836683,41.05997253245408,43.2367179775209,44.90411941992753,48.72491296164447,52.4824344085253,54.9604162874257,58.47808465343259,62.300093840778494,63.6902805630985,63.81211510665244,60.94517806890636,56.71449693678656,54.8942019164089,50.608281174384636,49.46010878245667,47.24353946861904,47.81861755728595,46.543999948867544,47.6417544272004,52.17496925355942,52.071369168435425,52.39317507386754,51.22647499163593,54.59733754051097,55.69870127835488,61.35436134527932,59.77817883834253,59.69278525105959,63.92511678663061,64.47011481334184,66.72996605202594,66.41610241517621,70.40759631251959,68.87747739513279,65.20695273472725,70.0601470766656,71.43169562278655,71.51271857225919,71.8172960865278,66.2044649901124,68.77988223489577,71.34814000677355,68.08209874167036,66.05559216039843,70.0740697819396,72.66307038579806,68.22877011479791,67.3187711323531,63.97834766943612,66.65272383158104,65.7591083519143,61.63287502693504,58.80536339615181,54.68063478895332,52.49571331306001,48.53333387313689,48.5092337591644,49.57988863384185,50.557978749777725,55.294808679274375,53.52751784942806,58.6849333278127,59.296673627051064,60.18876632583519,60.510888401763964,63.06775422031207,60.447821975026336,61.47794872633947,58.132315850743666,60.468342146753876,58.54783567393661,56.006900734100164,58.03980721268709,56.317763570839595,56.77720219709634,56.731350972693626,54.58130999976304,55.83805552546384,51.74506961365287,48.69000572529143,45.00135669229847,43.17175147121602,40.20989379509051,42.18701766054891,39.68018181637327,38.13251811171807,43.80736997800563,42.71236740479321,47.379473768547996,45.75397222559225,50.79294551546159,46.7973200465544,48.30683468761682,49.324511214851746,45.374338814413164,43.67688130531464,40.2402993196401,42.40975332172004,38.80352250356897,41.9121379178722,41.546794829087624,43.695752321462464,46.312275066314,48.998591704929,51.37729448762457,47.87845280094637,45.62104823411309,42.45462505153538,42.643075357574176,40.35881558683128,37.485020547763874,41.01870476574248,37.741847415032666,42.42357428679484,44.35797453268521,48.30495243204856,49.15561172161492,51.99154353426973,54.7379324924072,53.88354922002542,52.47486028666295,49.16804592098239,47.71075949831797,47.969517472513935,47.82330354500636,49.30482477398515,52.474870497605444,56.336642332998274,53.74330776909257,51.273978827723376,53.348384688072656,50.033326828468574,47.73542637844404,44.96556236086996,43.6433547528765,39.20704247352544,38.43829538213296,34.631004033148656,36.20106954430396,31.134563808461248,33.78513258279265,37.67400325104735,38.90665274829317,40.714260112903204,43.36059992100469,45.007103817990675,48.12705064906023,50.51417606478484,51.86002901911062,55.160687640865035,56.819869717892885,56.9796283960546,58.353787943876405,61.37767655122464,58.509696168605956,55.57533332423527,54.38132140705238,52.49854664369322,53.838064956117194,53.80262850337399,53.1237211329697,51.764930072329086,49.714529043717185,53.23618120615793,55.72004493030644,55.9535648444164,57.79664161043221,52.405618679384055,57.536602402112074,60.80955851535709,59.08962754557169,62.245062639230596,61.230002303207065,66.19616587766556,65.76105075747134,66.33285270723225,67.38984690143812,63.87429822736177,62.69151731669278,59.675197535191906,58.96638961374057,58.105801637578715,53.57799551562531,52.85396411185726,49.3051595650879,46.58349899455803,46.96320950802713,43.79750068229233,42.02854110635441,42.86513748613998,42.21681139362019,38.02520798251295,38.268073236446476,39.28159857301475,36.851187629671664,33.25463218332142,34.254297544210466,33.709583283522825,29.868299501137898,29.723936276287095,31.828343642721737,34.85728061783225,35.62224052741056,41.263004750662084,40.97689086356637,41.13777880784813,46.35709733065087,46.62016012778745,50.716817073497566,50.8099522721047,51.078980901281575,53.50689959858888,52.144208024677646,57.063082909395526,55.899723944060675,51.63085795120914,54.766293457812544,58.80254221385446,55.573744596230206,54.329524237509226,58.347055807230454,58.95353976904997,54.93206387314204,55.57146479152093,50.626042946251346,51.90367619633339,53.21325853618678,49.87888548199825,50.49154948392543,49.918482852208804,48.11731732677236,46.67691625575555,44.921343720718085,43.52191146397442,41.33011069215681,40.27167558178056,38.2849503016197,35.45356015065986,34.82720167839314,37.105701281835685,34.266953825923146,30.43768764832798,33.57446315149821,36.12225547653918,38.18331112292356,41.653433176023675,43.05826900020212,47.00448421612335,44.45828866479781,41.80256882448287,46.607451351896124,47.67175716746999,44.99530564848536,46.56028649087624,51.53571278346524,50.013598186277505,46.983025119807444,50.85703211359986,54.12869499290551,52.1902898769201,49.720731594933525,45.609860270523754,49.259055662226196,45.738029638132694,43.046682378172115,39.80495674242122,38.92989004524734,34.83143151870413,36.908386339003805,39.87400706566224,43.513085692836285,44.80385910638494,44.09397304725451,41.668811499270696,44.1479105862141,41.057453921568474,37.25907148673446,38.390506147505796,37.265185680113035,35.45852786003888,34.70172642003203,32.67676978287023,30.48230238446606,30.408910109127714,28.842274132727102,27.37475230510517,25.5168186318423,25.221791244375222,25.144901699841135,26.701724584483134],[23.14370229559888,26.662358326220705,31.33665799221269,32.13889463260247,36.83090689504742,31.956268035477954,34.86660889091972,35.01967129326665,33.72189557018255,37.689667708381464,37.80446191718262,37.70907188852262,42.01054360568237,40.89686348839223,43.612486694512135,45.64093559329722,47.161360331464174,51.13951600463645,54.89964746672547,57.25852700672336,60.8483329504915,64.57988851219791,66.0136371859795,66.01335323728514,63.057600367366035,58.892377414170255,56.933512044534304,52.66582554056467,51.64924638577889,49.409277744181246,50.40361886246558,48.860277431315616,50.13947095650691,54.748072696132,54.44291130536516,54.73334373974751,53.33011350752012,56.65157159743822,57.59108215197769,63.11903660516303,61.565285512668375,61.75971415212659,65.99286177537829,66.35437177663974,68.54265892156448,68.01895523527946,72.03445513483882,70.65026140882065,66.81086697634107,71.51018553196938,73.05251205216305,73.04598289544478,73.53728962321014,67.90572591734792,70.60500303961834,73.29003006740348,70.08995141709515,68.11636535530835,72.20405650069536,74.79399462106518,70.47081886275876,69.76075782563012,66.50170454831365,69.25543159712402,68.18899061768124,64.02545527656146,61.36575860333128,57.257871655352595,55.14467203893066,51.26650291980114,51.249862989577615,52.49054100876686,53.47212381395046,58.13429015099932,56.29504832539384,61.53394556560684,61.90812075956329,62.84222765215301,62.97091733888063,65.36704695027801,62.57772662713401,63.391826063551974,59.90214503830727,62.04287437307031,60.179929140924976,57.8327854101205,60.099766575864315,58.42991276995121,59.12442859119841,59.23959696119157,57.23233622881415,58.69615338488114,54.60524811269264,51.48798307081322,47.70972992237285,46.07132055243433,43.00379913804676,44.74367739223667,42.047609575538864,40.28905830482018,45.90265083614093,44.36532767906376,49.119484062643274,47.088022208355255,51.89248755952956,47.75439074275708,48.9544491458681,49.80334349720541,45.76671042394586,44.300567087680875,40.95232393301763,43.48118848091709,40.13160172311466,43.31685067204302,43.35548094666807,45.4360621901432,48.27076157756898,50.870369500842415,53.58271091333518,50.1761939331868,47.88004630587082,44.62720030337115,44.52609800304156,42.09140568991344,39.05447603327487,42.22777076419186,38.608965852211455,43.3048486449922,45.0197203239634,49.04021019132198,49.56202299865137,52.302327756076565,55.22918098952758,54.56845279345387,53.20287090703943,50.10262315058242,48.357392042436246,48.96295265866967,49.00648687588203,50.642903977502776,53.93245191557548,57.959813443021275,55.542386675703,52.950700295976034,55.07137638123727,51.88499297432036,49.467266417570066,46.70265708879168,45.17529683989546,40.81068513753137,39.77150111931794,36.24169850806855,37.63341036344724,32.75080008153629,35.75974600499538,39.50383862690808,40.80009352224219,42.26607920459525,45.14644769888996,46.36470969923496,49.49583708957199,52.18685261400386,53.351405726973134,56.720006655293574,58.107098583139546,58.150369007912694,59.30091191807825,62.240724268005366,59.187434195971214,56.42529096036054,55.207536350473795,53.58034429032685,54.99436504363516,55.07236991277555,54.55904548706527,53.190025566562646,51.432865535287355,54.846423692044525,57.26741745936885,57.306254101283166,59.053732576747194,53.48256135667958,58.43074137227808,61.65471752038496,60.047816020933304,63.477735440402796,62.70033938853286,67.55313694988325,67.07796424196025,67.42612626659304,68.29789951857384,64.77322770057565,63.35834108056768,60.23551149601846,59.35043135814384,58.25088504249905,53.75047762763998,52.844199141516114,49.11985238077821,46.56895779307808,46.55580410575853,43.54524720040053,41.96725253469355,42.41438935928765,41.557508354861454,37.60499640790041,37.80569803043713,38.42621410173817,35.95877859510374,32.60788915273877,33.29964749696267,32.456132261172485,28.919030945618218,28.81865430299616,30.396248578053424,33.577414541730235,33.914299258570445,39.775958158275934,39.62036692050331,39.52752017331342,44.69381911585364,44.67334092332106,48.93838973242434,49.20511128033065,49.74847904738611,52.30998539730714,51.262751757185406,56.10979053649261,54.73170181329595,50.73715593812492,54.04474582560563,57.89573084169808,54.66473515421064,53.68311228174751,57.80278793892577,58.18295489385422,54.19342664313818,55.25567415869192,50.16406865800038,51.713748263407346,52.83632920404971,49.319309281843985,50.08922396094177,49.32308504586575,47.883205161556624,46.37875023269997,44.257552460228766,43.10021777710282,41.15063816056992,39.72728382861671,37.60655689101198,34.947450652086154,34.1880430610961,36.04814734448518,33.20321628372281,29.52335799916828,32.27982916603997,34.59553000899603,36.74655721818098,40.31738848621102,42.04497597361756,45.807709058124864,42.9846287099813,40.66717811859418,45.556451651315,46.32661944686109,43.675848570364366,45.59809486025041,50.327323284734284,48.60078478967455,45.870937429550025,49.93014804907517,52.89266609489505,50.858124810544915,48.59103215329686,44.618871526485634,48.05024871072029,44.66501175120876,41.67478705672886,38.80413091596348,38.026999530475486,34.22240777052378,36.30248424510497,39.34509863698632,42.8689935443533,44.34164851796249,43.555963194707104,41.58844859562935,44.17937830238955,41.44600909765032,37.412602776315076,38.63825829488927,37.242137311092115,35.87915943258294,35.13597852457864,32.61457132012593,30.580368800870414,31.139281898755886,29.114186206494164,27.150803099525675,25.59099151167901,25.745935714150107,26.00946129633609,27.75440292773606],[26.60336511093114,30.115121291350544,34.833140208664005,35.439280261061846,40.227629714767616,35.358588034151126,38.16509033416791,38.324070588250564,36.80002746553976,40.622163706429646,40.5668964129456,40.53598561338677,44.91395228618314,43.6104139305515,46.21173747502347,48.36964890504346,49.95130331435855,53.80726014695248,57.492148687537195,59.99396343692303,63.49372445925758,67.31577967139086,68.6615614396408,68.69173758392303,65.838603906186,61.61769613337938,59.800636047316644,55.536074758793205,54.493195393978546,52.306861006117586,52.98527858506518,51.661250804991475,52.77778021456621,57.32219558633317,57.19411806017629,57.505130455486615,56.274947626393,59.5981646929863,60.614187331539576,66.22517734392568,64.60930118896056,64.65033813461974,68.88762573311479,69.35299684936538,71.5483088922791,71.13063393197477,75.11772687766023,73.6943783050814,69.96287407750293,74.72638822178057,76.20091725809756,76.25644821087866,76.65423850134653,71.03982397736233,73.6557716499874,76.28020837173628,73.03756053165225,71.05148377677494,75.08579202235477,77.66982753904793,73.28000262644706,72.42973798920661,69.1113490358741,71.78220816862557,70.84870095388783,66.72330748005358,63.890412888575234,59.79607714434376,57.55049520848708,53.63254944016131,53.54003171208538,54.5710105630483,55.647796845471866,60.37817950498962,58.67756502568725,63.8353861333375,64.4439493447376,65.34469584616845,65.64327017258704,68.16109029374162,65.49416279981581,66.4403628807874,63.0366055575506,65.27402417145204,63.37108300875801,60.93407669552491,63.05682695850381,61.362444756844816,61.886425960939874,61.872562757847156,59.74649920262363,60.998402982594044,56.91155498944596,53.860082745660904,50.18592702649427,48.353330836049075,45.40536312847519,47.347745330282606,44.80627651611183,43.13393417155537,48.82834466641611,47.52338211784454,52.26013841179166,50.41363094229645,55.30832945447304,51.2206565162203,52.48801546357001,53.374974940088464,49.348362668948354,47.854286837124576,44.47353291576936,46.8927846607348,43.442454962543266,46.542707327809254,46.381726842740946,48.42171859071844,51.14739004442952,53.70472519294424,56.22743482189983,52.84419501119461,50.50795656430241,47.345629224080604,47.32681579528759,45.03065078712588,42.13288434842632,45.4574853168284,42.00854124926109,46.72147812714508,48.51568131701595,52.54519520407045,53.087064497426894,55.87723380124767,58.75551551223176,58.08904845402409,56.6641778930588,53.49922669643929,51.760160607507245,52.220044445078464,52.12860308917294,53.79836829955039,56.93115577121106,60.91760884687973,58.471890360165915,55.97650019863308,58.126007649232875,54.91582784878404,52.54023647035823,49.82285353837345,48.41482611633332,44.02868031593807,43.11991357642461,39.47234726548743,40.886231343407495,35.880154996519224,38.725586951645134,42.575381352425,43.87585766904973,45.5104872063367,48.278367507385774,49.691418468080215,52.790198085963155,55.34763902413379,56.53618897355799,59.9103004413628,61.37653153983985,61.374344467684594,62.645385169103285,65.55930690170909,62.54033329926071,59.70929405379047,58.562218808255906,56.8738465985857,58.333451380244774,58.40304902636017,57.84316515636226,56.48725663064308,54.596226226387685,58.04456850073069,60.50974583959253,60.62878522157293,62.40298422334996,56.9022355672019,61.90122823986182,65.12897084135452,63.474115808912316,66.81612835715683,65.92832315046341,70.8331584921442,70.305787921998,70.76695579925503,71.68023622769155,68.17599504224691,66.81873398433879,63.72335317552942,62.8723466519176,61.79569081739067,57.26636231273327,56.41297805256642,52.681847078665804,50.16712328102283,50.16163424299095,47.17515037461991,45.57995884250722,45.98883948548311,45.1503010534179,41.222064062933164,41.32916091617068,41.95015000662396,39.5331285748776,36.174255697584535,36.772114666908735,35.91297381171233,32.471406096901774,32.268730976279436,33.69026244489367,36.88006651727579,37.16121600269375,42.976096745939984,42.97250444180909,42.83923020368294,47.99204774767565,47.804620217651205,52.18677269343722,52.5602323754938,53.198154989751856,55.79279291363416,54.81864283593493,59.64996108366671,58.22057756081316,54.28778375851275,57.626076140319505,61.43286351356151,58.179040903516125,57.24507331527927,61.37643866171552,61.682743538911296,57.67713017213662,58.80174558465686,53.72017167424211,55.32800234379525,56.453176182643624,52.929717014541424,53.69513329359725,52.87612377420128,51.463317094049735,49.998371737747455,47.829892809046406,46.6488853336848,44.75843770734749,43.33819526894705,41.16530951258498,38.520935623848125,37.79872801408435,39.56842944111865,36.68716613440764,33.08362521826018,35.76536287292397,37.98599459138704,40.180128011774855,43.77207246061763,45.58391671835599,49.29797067924949,46.396562412851594,44.17375284971204,49.084422587016746,49.75964523115272,47.09808781166525,49.099316914158685,53.77517645593504,51.93899271738397,49.258631106033086,53.38196109749098,56.26496238589049,54.12757562657017,51.87834474298677,47.89658396895082,51.172385378829944,47.728363414280246,44.75735083542674,41.966665055828784,41.37474995449415,37.613579967079055,39.51419406180461,42.62461182301045,46.09889776262172,47.6771874996175,47.01022233461829,45.0727786270603,47.730035374304705,44.94275213564539,40.97753792628366,42.24777521176405,40.876968092858675,39.464528889734595,38.7176308951028,36.24581859116993,34.21764721925428,34.678293345452396,32.69190739195,30.81132839283549,29.23927857097156,29.33289333698256,29.474206279599358,31.11339667243436],[25.851840873543697,29.24894648619183,33.99588886433925,33.92102309779788,38.861105858645374,33.923107933289074,36.504270466183726,36.874065222838134,34.901505670099574,38.44432557770205,38.30057948140351,38.60399695951523,42.85273871789953,41.1662414621211,43.84302236449264,46.197485091730805,47.631197726491266,51.37938263651327,54.85897288630007,57.58535997475907,60.9345585226873,64.869812362154,66.043528522492,66.04241270497164,63.343431273365105,59.04563248050061,57.44489159069393,53.20848180746288,52.27421381017745,50.31075275537462,50.74752316129161,49.826199768648074,50.97669672989573,55.40217984992075,55.309513350006974,55.42592522744411,54.489948777868335,57.58331512964584,58.609512201613256,64.41087138557398,62.52264250115357,62.39363936418949,66.70173789133618,67.25898032887662,69.37206459621616,69.08345266648381,73.08183877522755,71.67864937333879,68.09586779163114,72.97327394862343,74.45957884947724,74.68451825383957,75.00276616639542,69.38785911376569,72.0609021005368,74.48279336860375,71.09408878428195,69.21354457384257,73.2637630908399,75.67179820890688,71.11474173840732,70.20073160482278,66.89140316994516,69.32003329803142,68.4459195766095,64.41401987539798,61.290355838247706,57.289626865656096,54.796738838405474,50.919951042529156,50.655404956968574,51.527168653713964,52.82055583536782,57.593089469882656,56.13966736227095,61.37345595970472,62.144326017891096,63.2128670923578,63.6168877451323,66.19933039730134,63.76198469288833,64.76754777576204,61.60793445913751,63.85640897592015,61.74982628978984,59.26363976269226,61.141599033445345,59.63678532569089,59.81020525092687,59.92605252323807,57.557696636545344,58.69770735922987,54.6277370998833,51.726845355656955,47.997888529499875,46.07533639075807,43.05533320303035,45.45205102587129,43.07302638241321,41.870043160651655,47.408237036530245,46.517295713358386,51.01315733601088,49.46858350878861,54.42406484395511,50.32171213330979,51.93632012683808,52.75982571987493,48.70029955668548,47.186865819197756,43.551204520843896,45.60560631211341,41.88909976424448,44.74313194013074,44.25869248921981,46.1540207265249,48.761146418605016,51.188186506452,53.52893234900789,50.250934110246895,47.79993719304083,44.749699094662944,44.75084856263005,42.66772189358852,40.00344957271764,43.61281237148743,40.637728325797504,45.35216247649377,47.399538953565084,51.531045992342634,52.131806215821086,55.16276989897828,57.79071634343124,57.16970871383455,55.44013384673275,52.06646297024182,50.34724514640349,50.44862608571987,50.08407309346999,51.79721250114191,54.62067352615806,58.549050726087835,56.095009175560115,53.764487212993195,56.02002591762586,52.858486530985,50.497751317029916,47.96338257504116,46.825278397599014,42.42991516184069,41.939597408537495,38.21980428348417,40.09738595363176,35.12364990871176,37.618137891281606,41.456241840341136,42.4504709892118,44.348921020068964,46.78359984302168,48.436479424910644,51.254952377586726,53.605259711254625,54.66065181178986,58.134392492995616,59.69403643009177,59.52287005751916,61.07042114420353,63.91720255260666,61.017379611889126,58.007282821094385,57.0181114539622,55.16923078492632,56.794111335502684,56.94205803966845,56.39641761816325,55.24164432047802,53.12001464498767,56.856058970399054,59.1510372946341,59.48122145919228,61.10061741274561,55.767438795939185,60.85295956907654,64.04634072218795,62.19747829026346,65.33042932874793,64.22026925271295,69.1901882076666,68.4951967481051,69.21025006710747,70.2103516859976,66.80660959842547,65.58267602144342,62.577149334366545,61.90309209843293,60.991564932890604,56.37048259795596,55.808956196299754,52.16920124790271,49.68880734878354,50.07279647159632,47.123189651439276,45.19789710218728,45.75638064097,45.30356746469857,41.16008832091804,40.905830861887466,42.009007219560345,39.95502651403714,36.070755280702755,36.765564617793544,36.35254719308677,32.721049305290464,32.095875444313236,33.94465005202479,36.92181738791958,37.85603101942436,43.17352069367761,43.29356697904343,43.55652715125794,48.83241169297776,49.03096595709459,53.26866066873927,53.693500104677916,54.07992408889114,56.691088666187184,55.48612860941099,60.32680085722003,58.928010240514574,54.65750217251865,57.95322915277976,61.79813194584943,58.38550766596929,57.25588277306886,61.33372731890516,61.62466515259978,57.51213279006921,58.35300290757142,53.456572560592974,55.09788589470023,56.50013577584943,53.23790750094867,54.080829803949456,53.6180004991713,51.915800053133665,50.25161645895856,48.52261805456922,47.350979475268936,45.05763283174624,43.774002446858645,41.95497274193871,39.19203291276672,38.27257696836137,40.521691919759576,37.815209054980606,33.882943604883764,36.69498126722166,39.25826849774859,41.19571721887226,44.83648131823062,46.36664370863116,50.2162332679874,47.40896969230285,44.72336940309625,49.63787007986674,50.43862149528675,47.62095498901013,49.27989556857478,54.223512321651555,52.361814973034576,49.310466017699895,53.35686921059819,56.49511580751224,54.26199556232361,51.757275039295095,47.56925130295017,50.904451942135715,47.208013723936084,44.61517529159738,41.45255184637279,41.03140803940102,37.019615000526905,38.63137773863163,41.77753501609223,45.30215047150475,46.8725476429601,46.50789577699433,44.248230401168925,47.01056694831432,43.890574083192995,40.21933107480304,41.78020146368268,40.774423792176606,39.162613163998174,38.03917695677019,35.95514723091243,34.09896598553929,33.872009441266655,31.903104161148693,30.65853176949182,29.192255102101416,28.984052542689707,29.018282011494342,30.56986383100407],[21.952674548255356,25.335342793092657,30.187445574821588,30.27120716742056,35.38214446631647,30.927787352754088,33.83844321821566,34.594428891044075,32.98130851518246,36.63235819436534,36.94661202561761,37.426207621021504,41.28885807003003,39.693996175798816,42.802756551983926,45.011185958189984,46.075863772910296,50.041726704918425,53.41649299833685,56.04858096621195,59.44668056537351,63.27394162138268,64.44412702940802,64.23213658947937,61.448672542125124,57.2254324491373,55.49984929918349,51.30960015266255,50.663513561826775,48.81271455935489,49.863649392179504,48.74297182987927,50.29528388212956,54.7691488292326,54.29169412751391,54.1853274046362,53.044205400440994,55.870922986917435,56.63050046976514,62.34651433643061,60.31622394358032,60.54125074716702,64.88855843465093,65.17629409824005,67.1192901360267,66.58165839272141,70.61683649584661,69.45399111824098,65.70976787917341,70.41172795286361,72.16541241325162,72.36851747887846,72.93082091258437,67.29668518856998,70.23460170942101,72.71328101918498,69.32416223495159,67.61361009257882,71.81613403286796,74.09375103823997,69.61545847180678,69.04129048234205,65.90338957566267,68.3117839560218,67.14120406127377,63.10671352508665,60.12536503910202,56.20966107875308,53.7251787883784,50.03057063541531,49.70504330573187,50.8641062133316,52.24620689245663,56.883650889919785,55.42018013473907,60.891880381037126,61.27256893646125,62.56288549739182,62.65365154490399,64.97176125635939,62.407524615747064,63.06974680420444,59.865935544273405,61.786493362821204,59.612317073308034,57.4146450138327,59.51023626715648,58.25728785926602,58.58575906154546,59.131519943015256,56.85061154279989,58.35390406478089,54.297457706757775,51.38564646471886,47.40901387538404,45.83646694379758,42.51744717980688,44.800905953026934,42.18517863322436,41.0429615584907,46.28989504534095,45.00350682904284,49.40123518326594,47.45495377181865,52.072180491506984,47.74903611346024,49.204224040673466,49.71806847386787,45.52891270049889,44.334670756452454,40.61658589679447,42.88969405025723,39.36210283033362,42.1583645494549,42.08530104146933,43.801767789498825,46.68193304901743,48.91994210107718,51.70795083269924,48.62063888800436,46.06279673669534,42.9198538061726,42.488269177173294,40.26842521465193,37.48283615388686,40.731872578359,37.58966640450486,42.30795918286174,44.23297343091579,48.525164932832794,48.73493527358104,51.811699756759396,54.47826860484437,54.15346678486838,52.26246597513213,49.03806279452206,46.97666825469287,47.31330475414188,47.067551983055296,48.98145270795411,51.8369623285822,55.973147511321635,53.76566698969165,51.33096835981792,53.70845691249849,50.78083041838847,48.24413286247273,45.83846421475549,44.57354753929966,40.293829867493734,39.72195352750299,36.40374430595691,38.436978707436396,33.86635997851311,36.61212951660985,40.15458361055348,40.95426459631078,42.502670966583636,45.02946668959721,46.174514235551015,48.780369083970605,51.452010067083634,52.13491882471119,55.7719833861885,56.98065058928398,56.5542696301559,57.954214289995136,60.65395852402964,57.59357907539701,54.709338250908964,53.768221370930426,52.162706635547174,53.98807804545848,54.359803878856326,54.082158382878944,53.082214231776504,51.25697707052733,55.063492096522786,57.08885877396775,57.280994626237636,58.608972508029574,53.15414955137134,58.026747788712605,61.11808208107633,59.286742726545114,62.66487167842218,61.75632125302277,66.59601791320567,65.75231036577647,66.31138089323667,67.11463356177462,63.77466377023454,62.310797673604455,59.22998776991867,58.448642276128595,57.35710258820688,52.72435024241988,52.14757094704603,48.37805969682867,46.1361005128671,46.36082850695269,43.646566432828756,41.68178125196807,41.900906362100855,41.53264586341767,37.506418177271286,36.92334951902681,37.96718694576436,36.20048171501232,32.163000841895446,32.61142291981146,32.263184653764796,28.818956319433877,27.909688540615317,29.57788604047095,32.509413730740484,33.560221039478954,38.6740708069079,38.97028937824425,39.316050118194376,44.61272521668074,44.92796188525891,49.13388716495306,49.7702918247033,50.19243328898615,52.94921162196616,51.883017814070385,56.626870678059944,55.02444408197596,50.764531739709106,54.20533371007194,57.86183465163373,54.33109562916814,53.32864390201409,57.46061955822144,57.50615700555249,53.36035640114549,54.444034271539884,49.53382804498059,51.513901838780576,52.916887663851334,49.68303520472932,50.80216782403576,50.471811731315604,48.950836322388604,46.99299470073855,45.26049805507706,44.43780745803095,42.04248536747497,40.423739865707496,38.83370695280066,36.19482914448777,34.89031649431373,37.1142403890339,34.635558007379906,30.564209077689593,33.02771338554456,35.67014549055112,37.41012113962002,41.18245807344907,42.779493221398056,46.52603960343351,43.53320617286385,40.78281837440055,45.76253050405402,46.36760389367757,43.45868151742869,45.18568223672558,50.07736200331674,48.02377601822915,44.98602579354927,49.13341298464384,52.15550525918345,49.791726879815556,47.30764573295168,43.13578119250652,46.34451029154715,42.653101042102286,40.021833686487376,36.949818232348434,36.679018534013245,32.80296871201407,34.274385408926484,37.4921994727493,40.94000996730169,42.64989531384345,42.376980654179086,40.397365364658924,43.3428300790349,40.430184213774204,36.698497767148474,38.6088850489837,37.58680181309797,36.40902229203113,34.96188734455089,32.580988832347664,31.117326959513232,31.12624023903872,28.564836184988664,27.267011193236645,26.327739755252136,26.434484678008292,26.88823847625709,28.676679556331216],[25.782524523027227,29.191828610273777,34.10308667253291,34.4358127554906,39.64221378947476,35.49438315326471,38.547367721239766,39.358783031160804,37.878081408758575,41.542606573434014,41.885479456928365,42.34018751512055,46.20415557494247,44.61046894046413,47.72141088552472,49.92773355282008,50.97622514601417,54.937475893088894,58.262572321271854,60.92316750209816,64.29549688501237,68.12897117040987,69.25848286086713,68.99038591227931,66.2381468642727,62.02380984212336,60.32071290924143,56.15199295593989,55.554732517422295,53.70973113768577,54.75898466795541,53.619483159033926,55.1253493905465,59.60701272455727,59.16412202839533,59.083400719302254,57.914397250935494,60.738792661430104,61.461044783311976,67.13944879408072,65.09417265401251,65.38360381061813,69.72396954377102,69.95540102416733,71.85035238513444,71.25099055024165,75.2681861179238,74.17665410697413,70.41486179418145,75.04084021516603,76.85166286810718,77.0300833868539,77.64847724826154,72.0227812637763,74.99703498048372,77.52248966528995,74.13223885834624,72.43240375270905,76.64578085716846,78.92821037264116,74.47910661906205,73.92145355584893,70.78249725065913,73.18700957469584,72.01630183796344,67.99037984875498,64.98969859579887,61.09092640246703,58.55801183187238,54.878667420799346,54.50852994196627,55.59371259998334,57.03920844783565,61.68405739436578,60.279256249247446,65.71787800127582,66.14670356093795,67.41277507586737,67.52540949025399,69.84668202585149,67.25793663467032,67.8940688383795,64.64504686256234,66.52511974094091,64.37663305275686,62.233161962583544,64.37715221291877,63.113993383453376,63.47739997000656,63.98795112328735,61.717256557494075,63.167126022009455,59.11239794471328,56.201268491424344,52.27487499726088,50.6500564516035,47.389533718226616,49.646471034351045,47.03323152822502,45.756834698960716,51.079255684826336,49.66932790098419,54.145054406772786,52.06945736879795,56.60673460652622,52.24838837723183,53.50521552922512,53.94531921885642,49.724744881729094,48.66978861046797,45.02703121805661,47.48101917850288,44.0755858470419,46.869600027749385,46.913192852211736,48.560941571872846,51.48907958314717,53.62915751208349,56.47648482289958,53.46570525301064,50.86596160030505,47.749428443900364,47.20597739539276,45.00517488578124,42.228689178534076,45.33030652772379,42.07714543905362,46.789625044109485,48.596409309812096,52.9203209324759,52.91382776281774,55.929736486627974,58.696388947974924,58.50054743813594,56.622851189657446,53.51817905035679,51.269702145947676,51.755783550004416,51.54223814795701,53.57050511356787,56.3750246105065,60.585690027748335,58.482962417249794,56.04793322438384,58.468785169890175,55.607535866858,53.03731785269644,50.661314643550725,49.34069305495697,45.095140704977,44.40621525685914,41.159584270746095,43.01581561331074,38.41964518985703,41.29362871481317,44.861868405135475,45.76376037655565,47.217291643008615,49.83977603594624,50.858083783258046,53.474487421967666,56.243403727652534,56.83957795296298,60.50960680226539,61.59097514893189,61.054317254975246,62.37727419222186,64.98314138600266,61.818006207830464,59.02395868393302,58.123327508641836,56.66270109159585,58.562490861391424,58.9987551243385,58.789127114404174,57.76885309824191,56.042478160585354,59.77072725243907,61.815691336959276,61.92517014221902,63.230301493628495,57.71002063130212,62.48216524918422,65.5403180390007,63.767308532133484,67.27021315042191,66.44909912529106,71.24003356112635,70.35005002630439,70.82961082144077,71.5259917235553,68.21316803592207,66.60633722515489,63.46879252546762,62.57465896549859,61.31561169966685,56.7068392130443,56.02068424058518,52.11591094234421,50.04211696198206,49.94285523441015,47.3709482905512,45.57628034256868,45.459180177389555,44.91355244087969,41.13214591348696,40.478152407130494,41.16833543218989,39.39138843338944,35.62444148442103,35.738565897310515,35.10276527562418,32.03338640252393,31.129279945861555,32.160441807222924,35.198449977689386,35.796150633979536,41.02554234577069,41.575358663802014,41.64548518411481,46.84005660231012,46.729576141440646,51.17679737301879,52.06057786694086,52.8106093734984,55.69079491556389,54.962415869789154,59.62199566311315,57.80394034453632,53.861968637317545,57.45744145073199,60.91125554663048,57.37976065320429,56.64941763510053,60.8658617054685,60.65978085188244,56.541400250009765,58.035094241067384,53.02907894782635,55.263575914955965,56.494981577284186,53.10039774350917,54.31860103516799,53.75124821921283,52.55339673669577,50.62270328760235,48.53233177191993,47.85535119451784,45.74852401998627,43.87118272312122,42.09052504135062,39.608054420248045,38.29109299353126,40.05539323895937,37.522012049539626,33.70165587494261,35.79604093009345,38.11261251079697,39.98190407998357,43.82330617565567,45.766745297326985,49.298313117891865,46.019798959897486,43.684139346176245,48.721997786825305,48.98979607214953,46.11872576047646,48.22449908271227,52.82254602910161,50.50254930420632,47.80189072631495,52.14483147548303,54.805909127084725,52.27169472762993,50.00032744270274,45.97643016764981,48.82177988136539,45.22396845392071,42.35337753377433,39.71945877191347,39.70986002807953,36.165539682288944,37.46369813385514,40.784990712829526,44.06000006532763,46.00936975615567,45.77618396772675,44.21685977327731,47.276762754697025,44.6222214155793,40.77443484375265,42.73733961970012,41.5053448054899,40.60084563492641,39.234845732267424,36.528851820653706,35.13742010071514,35.57575114620308,32.79349084586849,31.148595278204173,30.341116852662804,30.71049191318412,31.277492547723927,33.1040837987803],[28.39694937740387,31.705445959584235,36.61315250752659,36.220034602322734,41.528258201106105,37.18324793814023,39.88798181459761,40.76486538633784,38.70771097389311,42.01448445455552,42.072106414926424,42.79322692163009,46.670978763001095,44.63233541569761,47.617519685045686,50.0893009331587,51.13666227120862,54.86328459482536,57.98268448596139,60.93505579706029,64.1008135802092,68.10574044938485,69.02850674106645,68.80846242412791,66.28089740223568,61.95830322465358,60.563993979565524,56.421919742801556,55.82830614863777,54.18054729270117,54.68291834261116,54.063872692698126,55.39843159606493,59.71553367714343,59.50418614555159,59.328180163163736,58.562707360644595,61.255961095133124,62.10202245840864,68.0051354495958,65.73273523977932,65.69030539179613,70.07646385933869,70.52350627310886,72.39657048244703,72.04052576048079,76.03806716653067,74.87500851545153,71.35213705771389,76.15793226256035,77.86188451694285,78.23010105217462,78.65808962615257,73.05334976091585,75.96229686491421,78.24710750337441,74.71188102751432,73.05064679123302,77.19795244586575,79.35569381077956,74.70434598251143,73.91784211217492,70.71493218166422,72.85989899044857,71.90043605312836,67.98907730731973,64.60423348581429,60.78532065990517,57.96871842894895,54.271655779624346,53.722595989779975,54.465917587223416,56.13192683792858,60.867196719877924,59.76764499690758,65.14459585220693,65.94951767807942,67.27962640463485,67.66266476518601,70.17447783549154,67.8910353407309,68.74521309893574,65.77007109897121,67.8031044447984,65.4801581259074,63.16719464372878,64.95698149859525,63.77634706647181,63.702325131302445,64.13546573356028,61.573696575842625,62.70749261075381,58.68242164455023,55.951725197259236,52.11829131061329,50.227922943869864,47.06923883293795,49.836962787289075,47.51639171493584,46.663516182304335,51.95685648190954,51.127105183394534,55.41068676527181,53.80234979227143,58.533163947981556,54.25911417418607,55.89505975675585,56.39569927289056,52.19458234229003,51.00795985547138,47.16436571282722,49.184858376897125,45.45438055881896,48.00595531466904,47.5536838717094,49.09698934868157,51.77801801904978,53.82498417593744,56.275505663255814,53.33150171751463,50.64767717940427,47.71784673019267,47.35335119131676,45.46119509850055,43.00482949409145,46.521419359780694,43.82337275911198,48.528269048617226,50.62414254399389,54.98478719228688,55.16403380534038,58.39414795341623,60.90650582712076,60.653459530651205,58.535872297018656,55.172328788095115,53.05129454338282,53.0806776462436,52.52572042981808,54.54681115643003,56.97543984829132,61.041750155516596,58.85263642566428,56.651599476144725,59.1403950000171,56.25032715125855,53.77316284709527,51.55011474029136,50.56134385150531,46.27439099204668,46.026292132782714,42.55531263443742,44.75501191906294,40.01843357556379,42.45131795245941,46.13475062835427,46.835650461192785,48.688968643788876,50.9425707124123,52.40718329904002,54.82445379880394,57.24752195903142,57.84663575898393,61.5505675554906,62.85587973050775,62.22430841798692,63.893059944485884,66.46476725360134,63.47822926338362,60.45968093670448,59.72148261523928,58.01893243468021,60.02240630691059,60.454871944154306,60.154675222695516,59.26884448441821,57.19396839320861,61.15890879655039,63.156218840211736,63.52951981304616,64.79954119631,59.503102005072655,64.43573082379703,67.49392031028935,65.52365878807441,68.7204710524728,67.58935880067278,72.49574276650208,71.4724918247773,72.28312168678933,73.13535336610933,69.90529195498198,68.51991023786552,65.50148096804801,64.81831075234665,63.77420237739952,59.07720898359226,58.67864236490716,54.89894391904838,52.79075665587858,53.08813960465562,50.476433473589324,48.40561502959722,48.52002390222415,48.28568973238792,44.28842400350738,43.40173526883186,44.532639995293785,42.98242308732469,38.821654532862496,39.075581201871934,38.796094360892624,35.52702452955626,34.328208224698336,35.752925409899106,38.6160845457171,39.721377020979745,44.55861882944411,45.20824797317119,45.578726653063505,50.8629973605596,50.98093597789947,55.35292336600633,56.24786641090528,56.80170188901708,59.65406904873577,58.7044451986117,63.40043075223918,61.66181153715248,57.44612628117126,60.96567690760968,64.50144465555195,60.86338940143824,59.93613655887155,64.09046055122643,63.92243748914205,59.717966878589515,60.89981391275419,56.07312004340225,58.24238265634075,59.716632803153516,56.53657831963505,57.72268017361282,57.39456093831962,55.89320073879429,53.91092188704023,52.17687736273005,51.371466573119406,48.98332264835441,47.34058662692678,45.754168173768186,43.130856011647296,41.801715743191444,43.94721237930398,41.45816123095052,37.44099356861475,39.75369903824009,42.29731273784339,44.04088071124045,47.88257055979005,49.59256679796389,53.26145994428283,50.10333388204489,47.427633622913376,52.45205473870196,52.864825946140584,49.887973491576,51.69899695331471,56.52666813564003,54.21303515953326,51.20248858890788,55.46121947044614,58.355805431009685,55.74524619575331,53.25127289527547,49.03939983145675,51.913788499749955,48.06876907486108,45.56532848032234,42.60408417176072,42.7662094326997,38.98092184700376,39.9911306320401,43.33874404309175,46.65523373827359,48.59195940505293,48.64662766956764,46.72366728578112,49.837669134743685,46.805916284495375,43.26709370034149,45.37910724430248,44.471840627211016,43.227999715092,41.65905700247965,39.40197568344211,38.015264248238246,37.773996564859,35.21807701561262,34.14606897823235,33.235304236449096,33.23835992155524,33.54386850087964,35.1806319306845],[28.938881127721675,32.1059226297984,37.0240069133896,36.365237018680354,41.832839449800595,37.847023192273234,40.576522761460936,41.76926864834827,39.65775402912896,42.792078797943645,42.9975161596026,43.991002663402135,47.5876747980383,45.34831857352227,48.540917359321575,51.0627932458188,51.8383634789213,55.555335240424306,58.44130691200597,61.50951472276262,64.5608842270739,68.58534491439003,69.35961870978132,68.99649679102981,66.57138114234888,62.25164012219426,60.9761157333773,56.90829963621224,56.540736938089815,55.104451907608805,55.69614862219898,55.25674717743971,56.74743281989986,60.98522913983401,60.65805011831694,60.27336856738246,59.61086109978459,62.02323206111273,62.74180924928985,68.69414647145229,66.17625736054387,66.19777145510491,70.62631981826934,70.99794231724658,72.71126456805202,72.31340736491022,76.31344075146993,75.30215004048688,71.81850152560088,76.57830984422772,78.42290491676096,78.88171290142067,79.38119319048249,73.79636142463306,76.85804361372688,79.03730887081379,75.41649906412621,73.9102771424051,78.12069530702529,80.09810718894428,75.39772585181258,74.7226607585647,71.60853921491002,73.56850130946373,72.52905796886355,68.70154217236609,65.17990306612539,61.48901109866194,58.49379361406544,54.93402962670018,54.217561043915026,54.92652291943553,56.807959885736516,61.490434390920846,60.595961890271965,66.07870851364856,66.85338863123043,68.37178436414544,68.70600772869075,71.14427425145082,68.95944109186678,69.69425797645643,66.8527763502511,68.72934549357608,66.26699520622036,64.07659345991107,65.80812895297178,64.85843967371474,64.63115030729826,65.31039302941187,62.63892290575045,63.81554229133011,59.829428388186365,57.210610752484286,53.289418072131454,51.473162890231876,48.19806606205074,51.18093377105478,48.88727449744937,48.29860029215612,53.37455456999132,52.59553379707807,56.697961962294094,55.06922960323604,59.63844873397108,55.27017384083996,56.96437405404178,57.2586477546392,52.98882398637485,51.99327727979116,48.01492692167104,49.95841367533556,46.219031963124294,48.55915387623457,48.120381414529305,49.43859589038555,52.15778575657789,53.966234564163464,56.49370867060011,53.766914898916895,50.952368621124485,48.1003747877214,47.50855471304758,45.73534636458486,43.42017398435002,46.87212410441887,44.40317764277561,49.06225562499177,51.20450479311231,55.687309424610866,55.63602751513833,58.99980301482318,61.39840268754231,61.36324626345699,58.989103272427045,55.62592716817863,53.29738369754337,53.24586077261024,52.56718796897046,54.753776364937906,56.933704828529166,61.065956102928986,59.04204658158927,56.92499103337794,59.548812824429774,56.84200093636843,54.29904280767584,52.28580192360118,51.404115941446236,47.20735054231444,47.144166200108714,43.85396474503381,46.302984497215576,41.7673071209553,44.13117350485776,47.67174816623296,48.14355143263137,49.96424005524646,52.07118863427493,53.41364716103538,55.54882483557348,57.999507805062265,58.30364613434326,62.14338870900666,63.29499240625232,62.38599849485905,64.13915561560036,66.54572941070775,63.531318822969794,60.498243812560425,59.91553181656673,58.28685066677858,60.515728827118224,61.12548623800099,60.980999461489375,60.28724203137721,58.2408712875674,62.36487040349977,64.1415070043491,64.55597573782254,65.58590616250005,60.34454625853635,65.17630909133909,68.14056580576712,66.08251031665448,69.28922859813669,68.13713220719022,72.99238154317007,71.76800509629209,72.64990853788463,73.42081949274409,70.31079739282849,68.85242073189085,65.847250680675,65.18439385948561,64.09898849438987,59.364513853286056,59.10651807670172,55.29048828174087,53.39696714851591,53.72710239930294,51.31703579943696,49.112150895181784,49.02342485156705,48.99114928435282,45.04759125304325,43.76306351610423,45.01010588298248,43.81677599623661,39.42633434976403,39.48207806949256,39.385617347100236,36.28163163964176,34.71443650466839,36.02680392913811,38.743329286922815,40.10068258878299,44.52993292770374,45.454639795309284,45.98498920822473,51.271769869158646,51.472968850381555,55.843128247847666,56.96061758224813,57.519245319307416,60.48615190271747,59.607572147802706,64.20927701391916,62.31248844559195,58.05711955446538,61.662811120867154,65.03179828170948,61.25925647881267,60.391107690287235,64.5541398525015,64.15219020546049,59.89439184834349,61.183331280560175,56.452467929331114,58.89327506763014,60.460405296467535,57.398595452252,58.78666300426575,58.625640012499765,57.17277128959884,54.969761060478604,53.3523507260505,52.76045653387414,50.229321013803435,48.42983530883045,47.073310272415455,44.515571256811,42.92156807850211,45.12425350416705,42.8208670689528,38.70519541328497,40.77322258363618,43.38659092095408,44.941089053147564,48.86918977652393,50.57890555266627,54.17243944774416,50.88512028459192,48.10066302234561,53.148640703869184,53.40171379238575,50.323266644959304,52.10656707678699,56.922276304405905,54.39489000354026,51.3232854270651,55.641549029390816,58.46817462383682,55.67011353334603,53.130217812303506,48.88309831112852,51.54405119694399,47.59117197230454,45.24268810119011,42.3023118587116,42.77609367872705,39.082372313256435,39.73153563167599,43.151314257998656,46.3558006810496,48.454171552867905,48.77639626433438,46.971326545391115,50.26882725862353,47.2461268456604,43.852178906941475,46.30406151804809,45.528610917669084,44.47363375853711,42.585549829448134,40.324917433464115,39.24699017397767,38.87792985610622,36.02049129098257,35.180746200150686,34.6040856912803,34.68560765406747,35.14734808409089,36.803458293527115],[30.392330420326765,33.50328945235011,38.352787795478235,37.29488838123635,42.69916312080607,38.4382384464858,40.871376523691964,41.96512023531309,39.47950136571857,42.389120755335185,42.325692459183585,43.40166872197934,47.08420319367919,44.617556210316806,47.6121682823419,50.2909896008143,51.168563605188666,54.69540004399797,57.51182898023494,60.72853101697604,63.66424729141822,67.78710322375304,68.47354725799256,68.21284120858822,65.91605177941955,61.53217875149927,60.437126798410205,56.37786430213496,55.91968490087658,54.550786335969214,54.71021536179679,54.58153536904029,55.88627471053631,60.01403589457743,59.89371898336361,59.52023075641678,59.11349515862238,61.532084164104006,62.39102475477169,68.46560445411461,65.89267483776891,65.63965977459371,70.07116775627681,70.64082459733116,72.40395706891468,72.2060361056659,76.19151506231444,75.05859597846286,71.73678534423175,76.64388466017587,78.34609762881463,78.90133502219243,79.2268253691214,73.66109063825017,76.59895911234581,78.63801476156883,74.95872876812827,73.415523851428,77.54262436641393,79.49853952931589,74.67635313233622,73.78986840805351,70.60489188704828,72.44008207865562,71.59024645212325,67.82615852545828,64.0928634101631,60.42576041830732,57.3126955009683,53.70399136477819,52.928904492906504,53.40127764350486,55.34769800353785,60.09762802334098,59.34160353206073,64.72050718354919,65.77102956239648,67.26029104301901,67.80435802472651,70.3987887967503,68.40504654206846,69.34367019515771,66.65863526568153,68.70190063972296,66.18055980373039,63.82348333891698,65.31055307782675,64.33464767995741,63.85086477619364,64.38104964522597,61.55244763514164,62.48479171297192,58.524207518006,56.00702784834704,52.20276415963721,50.183679855318786,47.042698715643105,50.29636276017331,48.219163478926006,47.84828665894716,52.943691989375225,52.571423437787786,56.57759296173239,55.30721549918682,60.06185189306429,55.81260409795973,57.76068325862367,58.18969961735505,53.985747368778526,52.810358951367185,48.766477245768705,50.4067696672143,46.45789669068501,48.694247647804076,47.88505321993181,49.21561055954366,51.71585962927488,53.55315253579716,55.735756772568294,52.979556574437595,50.17854059733746,47.450145400015685,47.09662602835166,45.51287623740838,43.391681061772374,47.15330409811111,45.016706342394215,49.65233383653003,51.97498923402847,56.405842096428685,56.60460682927268,60.05163192310032,62.3002023353822,62.12028855289106,59.692751355958016,56.150116651889874,54.03066827990509,53.673476579809574,52.80347657081762,54.8910321220786,56.895099180570845,60.86655114423717,58.70748318053021,56.73651074529078,59.335847307089196,56.54113975809562,54.110124478988816,52.13176390971247,51.45589427457385,47.22070417921067,47.405416606348076,43.907912131226595,46.49614552468363,41.824986060384425,43.876564472312545,47.52119895389684,47.92600075998669,50.036494919845524,51.918503864220305,53.62903873025075,55.72439606863015,57.89282338896961,58.32618178821266,62.11340001330651,63.501038166059715,62.65411632767736,64.61990109964957,67.07357045961015,64.22250684962351,61.03925402677194,60.50314234571685,58.66223976252543,60.851260736180784,61.37520633191618,61.09581667508236,60.42596328716886,58.12131332205822,62.33748851634248,64.15794846311127,64.75115205545025,65.85406786864168,60.77458397896769,65.7511376597148,68.74774152359055,66.58752941128313,69.54564396254757,68.17659638744392,73.1230428042792,71.89498197518107,72.99064181894612,73.91722699365094,70.82419903486463,69.57376736272846,66.66300248368366,66.15576961009789,65.26300638678596,60.499737720718635,60.396182603574374,56.71298750982821,54.69431760052194,55.31609302156209,52.78772025456291,50.444849704985444,50.63712197171417,50.747439154859975,46.62945054393765,45.37548858352544,46.89826755988618,45.706238364882545,41.153616815653436,41.42180265567422,41.50792987273294,38.18289012314094,36.59829969342884,38.27080403458415,40.91158469499438,42.52481012740164,46.851434769197446,47.68707105308314,48.373460797663924,53.71561386681741,54.09565585525528,58.366144011952066,59.35962085215658,59.74563226183968,62.62424837421296,61.52867265714911,66.19374790182039,64.44911662693683,59.997157914774064,63.48740633278628,67.00104642561021,63.22245073598709,62.163250094723345,66.25438914368092,66.01549969740094,61.73172681919131,62.70329009380475,58.08335601886596,60.324273075722395,62.03430439148313,59.09502660742172,60.36128526141959,60.31938826656236,58.60909473035263,56.46742686175291,55.08613435760619,54.306423345873576,51.62439564880127,50.08214301645599,48.782943926933534,46.10053151010767,44.61794005479431,47.083515234471875,44.744448462019754,40.537260434534055,42.877294249534195,45.631724225538235,47.168882346672156,51.04204620667632,52.55462566776938,56.28566209618688,53.17500115019183,50.17493471198666,55.180751939102734,55.63862997395907,52.53934067439381,54.08736495135661,59.08342138170497,56.692405737319014,53.40875211612638,57.60458507751193,60.65452711480454,57.91539529983022,55.226936030905094,50.869511373057165,53.678018651520624,49.6154252875011,47.483407634350556,44.276198207714806,44.69425422845884,40.78842209249129,41.41584862484891,44.785154106359855,48.066796525369284,50.04608258375698,50.44166820096224,48.301779046485116,51.52408108149478,48.22892627245684,45.02102986818948,47.40931288573554,46.823697890990175,45.44584756535972,43.556005559171886,41.64628241789272,40.44418973302097,39.63849280120878,37.107038006312784,36.59047226072149,35.79951074382309,35.580577260574465,35.79912363652004,37.30338657349832],[25.129987384363503,28.214752136279223,33.01093026914704,31.938508567448423,37.251192852832126,32.843969328573245,35.27784954757943,36.35738207291803,33.94732769857464,36.97050669967407,37.028797758562604,38.07688968930992,41.71846249054688,39.393250992902274,42.502254597655735,45.089279122266554,45.94350366117347,49.6047621313459,52.54879389202227,55.62783333828123,58.68366807996438,62.737078554686875,63.550965462812115,63.303262116294405,60.866233922236894,56.50458524948612,55.251488986271106,51.15070364741381,50.67792470416672,49.24156088366932,49.67485527153766,49.35221482940705,50.813367100693405,55.01321164217339,54.729678340189864,54.33897576596033,53.786551269588685,56.230583822094715,57.04589969666995,63.078101056037944,60.584094157384996,60.43898912723169,64.87656096549514,65.41984518347378,67.23426956626749,66.97114656884335,71.00903832350215,69.85119203069023,66.40759505756125,71.32718078447475,73.05805194865766,73.56287753011316,73.93536159863139,68.33768282404422,71.23673688832699,73.32885812096521,69.73296872130398,68.17987025057003,72.32114506816669,74.32616959488558,69.55444585641553,68.76763516133434,65.62077599763282,67.56593345636432,66.60381777248317,62.76877100606124,59.208597562325814,55.49287055071329,52.52455469341199,48.90782019108558,48.23660859069896,48.95700985329923,50.77239534918379,55.494026312053315,54.549891308307274,60.03582123732732,60.84880761120299,62.364253520411204,62.74765360224944,65.2357651402522,63.130143613159554,63.97684385357173,61.219813229673235,63.20613115726327,60.71528817574666,58.40341611259389,60.004627055899284,59.033902438579744,58.69873613270048,59.34433990336062,56.617297390204776,57.77083156613188,53.78072006282979,51.18126104298523,47.24675605025619,45.40589223751306,42.111469879039824,45.21893893882691,43.00459901808454,42.63203758973389,47.640038539507735,47.14236048673639,51.13057269211573,49.77131984165578,54.49161873040578,50.21605408933077,52.20011538961069,52.64459106329757,48.451966910227014,47.229684663482395,43.17981144693454,44.81188463070001,40.87318136618255,43.17820867143947,42.46911868896818,43.8808758511481,46.46702191907727,48.42222145822891,50.75779305277183,47.91285017462325,45.1508574747099,42.29807958968446,41.931514319111216,40.19895549348063,37.943919633086196,41.67933190396968,39.457475641359224,44.104770995368575,46.42860211711493,50.84035666867162,51.11917061854032,54.554595152343744,56.80427647630628,56.56447301971599,54.18765886509242,50.63733079530758,48.586534240671725,48.28178267037595,47.513857748432116,49.54673817463619,51.74196911982578,55.72752299579213,53.52353794764946,51.44490618262082,54.00106881032897,51.172007600705086,48.70997168427075,46.66152934471368,45.90947758239733,41.66555912318395,41.818458700903115,38.378121459145724,41.048407855480335,36.510354934326884,38.59566554284423,42.13855206059542,42.484551672137826,44.51470566292487,46.43572252472828,48.05618173066413,50.18146874227766,52.422613009413176,52.89393835619247,56.66533659904106,58.05412302841905,57.315125135934686,59.2087003205824,61.749087163178515,58.90408752314269,55.73029696516185,55.105241882841064,53.244950526102926,55.35597355189518,55.84430401743547,55.56609952981572,54.88678545412339,52.64222722343426,56.86163025142218,58.65121135509448,59.21123006895218,60.316254387035094,55.19570989554938,60.18655279532307,63.200422734747185,61.060584661066414,64.04885221767266,62.73779403027964,67.67695927495737,66.49994298075885,67.52555730306595,68.46902857451806,65.31684636294455,64.10917439370385,61.19620599762292,60.704190134526705,59.86658582117483,55.109278584332905,55.00420650626141,51.39341612216444,49.27073071388103,50.03090097245782,47.43213367679091,45.027979607812505,45.396173622673025,45.57809863426163,41.35091765051515,40.18135173793931,41.86772182865709,40.671042616779296,36.0036267915818,36.47746840899616,36.72041225814697,33.19646567558308,31.64398445780476,33.70143613504696,36.28125148216717,38.130061508807415,42.434832501736004,43.04416808818707,43.879831626207526,49.26273666630836,49.910828574256044,54.01186704177522,54.814514108792494,54.98235606390069,57.771185072794715,56.47851397135496,61.17779365498172,59.57443126916231,54.95619273723791,58.34294102410125,61.9731199704686,58.228272404483704,57.015130847406866,61.055404744950266,60.99420646951299,56.71938301099442,57.46139938848101,52.87274845435309,54.94564630770023,56.72567201668851,53.868903651755055,55.087195721443095,55.18829535768671,53.326880408983705,51.14970870098074,49.972117151518134,49.155149799636355,46.30989043392773,44.88708724911813,43.73460444620897,40.99602786245425,39.48778814174649,42.2109501736495,39.95499349850181,35.613738378108806,38.12982246729428,41.07666871213917,42.504750475838456,46.31060108021747,47.59937918322174,51.44063875997869,48.52505237234193,45.28564106576105,50.22931076035647,50.902982284065416,47.8061982756855,49.12447384698707,54.27914916337795,52.101275227216206,48.63564163897385,52.690442144866644,55.960464806622,53.39072822571775,50.595477090907366,46.17631800434963,49.27878561802808,45.21832972403779,43.17503313323317,39.70452918532211,39.86538704765764,35.77466961689463,36.611649376539305,39.883588012370204,43.288767374801616,45.077034588101746,45.358495755878785,43.00189656616502,46.12722393985454,42.750308865652556,39.55854117579109,41.89935756486227,41.40850326783532,39.93962343933495,38.00562081372059,36.23887705234401,35.04442424375256,34.05647926629187,31.600424874468402,31.26020817293644,30.46753782308419,30.159061585064496,30.37041874983809,31.875105979008833],[28.868534801563484,31.695044032038602,36.36525406885298,34.59085239148235,39.96544588584803,35.75334987857561,37.862384814225386,39.17253396357382,36.30413747971786,38.820641661195936,38.71672286440815,40.15900522102353,43.556963093507974,40.73838966177252,43.81365407191331,46.632192885694586,47.29394436720476,50.682821083863594,53.239899595164744,56.635257798143655,59.398754788789674,63.58266278982918,64.10846782834403,63.81240255504073,61.664222741423636,57.24572020332588,56.36553050500209,52.383322114941365,52.07146822350474,50.96654947691662,50.962713912809726,51.22247329286675,52.61147102601709,56.56594489053589,56.41719217459532,55.81284445944285,55.68811941984885,57.80895851580541,58.64224797442403,64.84608324337323,62.01566808713861,61.619271853397635,66.07996743217197,66.74810072850453,68.42613357917305,68.35109721478575,72.33148856217382,71.21657434129042,68.03863554444578,73.03992853778621,74.75142503947185,75.4699405524687,75.71708986868173,70.16864161128007,73.06540541373066,74.93501896085694,71.17082073905746,69.74535067292123,73.854719442797,75.65131781294897,70.70131238695238,69.79049355389859,66.67005173429347,68.24742801346754,67.43147098005953,63.78423683921643,59.820342301911886,56.298956361210315,52.97515121188012,49.47821981034383,48.529931367834386,48.88781417712795,51.04598178035019,55.7707795738505,55.25816515109641,60.708080484174765,61.832665402382766,63.51409293897123,64.10436869450665,66.68976922120616,64.93616206037642,65.8964693414042,63.47735191481139,65.47999557354673,62.769327252077005,60.413636750921754,61.65476166804549,60.91351227586009,60.098316362773005,60.82593257648786,57.795778237418666,58.677309639925404,54.77826383773082,52.44858673845516,48.596127722034424,46.58809200525338,43.365992984742874,47.021582147290665,45.119187747296245,45.27284153077663,50.046362546249185,50.07099254924574,53.73834956211535,52.76915387405607,57.4920783270978,53.27779313697412,55.55860815497945,55.92151759795184,51.755334221973364,50.5713063076324,46.34431939022785,47.557930706752956,43.41752674503511,45.33456850672017,44.21685289678055,45.360541158987914,47.70498411055016,49.38521401360102,51.37468993817186,48.7800831873641,45.88834107357077,43.31506542010022,42.960982386548125,41.62310711184145,39.79941943328085,43.774222154757595,42.18520432296761,46.735244112606544,49.286536662791995,53.74197597646128,54.016855038286515,57.665816012385996,59.61994371111163,59.4737610128558,56.768736094930006,53.055575783857265,51.003873425002716,50.25930118622967,49.1222831853886,51.23366151158559,52.909874462942874,56.77167744292542,54.62347728318914,52.83092738410541,55.50534292038013,52.8044744469488,50.41203720869486,48.66431727020415,48.27890355162272,44.13438111174847,44.758717789981254,41.31750928438175,44.34869043561564,39.91075253927036,41.54872845550745,45.03841976737612,45.07577512082569,47.38155405469196,48.876021647378025,50.76861517528872,52.521356799873615,54.458219451598204,54.735659982333324,58.581819474322025,60.04849283233644,59.050871785549575,61.278478511851894,63.659212762451205,60.97070231967904,57.63071331508641,57.25003298072156,55.254293381622254,57.57622221739049,58.169666415333246,57.91723548607692,57.47740912595234,54.987602378247644,59.44959229353738,61.046321034030946,61.845689664789816,62.76342366059504,57.91420488792332,62.92197300714527,65.85297892360947,63.514421484351836,66.23121548637499,64.65042232866534,69.62652507117875,68.20717236105526,69.55656561892769,70.57751890671203,67.58921235303723,66.5217414022635,63.73650307573889,63.4283952400062,62.73962533431003,57.94203156623861,58.14822792862299,54.64082048373122,52.655157420043906,53.710756224712384,51.23731136117385,48.5857619380643,48.98514957602539,49.501925884783496,45.21956910318044,43.66006579303858,45.68787190324445,44.86780934348641,39.88579398755934,40.311080247369794,40.875281654564134,37.39563160419764,35.46768203195502,37.6367159697267,39.98142695103963,42.25431964790222,46.012018608932046,46.86291224157602,47.97082926384951,53.361097646251395,54.202492539809896,58.21345599591877,59.17089966620846,59.22657787584915,62.05154079499878,60.670165587378506,65.30862270130145,63.66926743470499,58.87226193178938,62.2401415492746,65.80157832208441,61.91952410171157,60.61524180533965,64.58179260163972,64.40039111099573,60.062377936616194,60.639660736839865,56.287597299094834,58.47109080221366,60.46364204736708,57.84932632260248,59.157656295157324,59.51255831482203,57.48922718015691,55.170724806112936,54.3066361980412,53.531462976533135,50.45230957079,49.1091816960971,48.21487516244757,45.455197743743426,43.81469410244185,46.76184674236248,44.64923499915639,40.192907318401744,42.66745419862486,45.74086998467716,46.98474970133218,50.81378257371786,51.958838696099406,55.807719804386245,52.90431525755712,49.42417472810041,54.332578243807745,54.990805077427176,51.78787825039494,52.8892718354114,58.14312430768132,55.84665113146214,52.16759309001208,56.168053865621026,59.52492523888142,56.79375953364924,53.84058188090989,49.31750570773644,52.25370797843152,47.99663595863274,46.334506549981334,42.71130143632601,43.203432692952504,39.08276953220947,39.45096438485321,42.735596506803496,46.03894176090659,47.903459732020046,48.57113904992034,46.06307156690949,49.300720284788895,45.694846871469366,42.88883820800246,45.503027010120825,45.3241995001564,43.74675797727641,41.530243960687486,40.1014549658412,39.108197647515844,37.609203056418586,35.185878284075656,35.37110571909935,34.7217432306682,34.19775880775098,34.312440583171224,35.679896762047534],[31.690004150345253,34.676778950712524,39.32547237028947,37.79575188923566,42.97538496564492,38.27176379669558,40.246646443732175,41.10280828822399,38.13929393331568,40.746160252681584,40.27156149684726,41.37654688470286,45.208720983334985,42.52029037435788,45.15890963586702,48.00696998275751,49.09328032642967,52.34572289134749,55.129820171177926,58.486284125694425,61.297599024142315,65.51850283508409,66.14914034507943,66.0760025417953,63.91664457124253,59.472394347139506,58.577541830955056,54.52804623496136,53.87693450317165,52.540908626337334,52.09772848965562,52.33775682116572,53.35242988928249,57.32455907646668,57.50599949087419,57.20360593949326,57.11718014980457,59.60965945842402,60.6924324688845,66.88465713814517,64.33163235633226,63.68773705252536,68.08086925991505,68.91545277500349,70.7912470192353,70.88343864184223,74.81565028607605,73.4661307185455,70.3755121040755,75.46495562969172,76.90968528291091,77.55893801689756,77.62323913064277,72.08316873546737,74.80364841859654,76.73291370939192,72.99672755695985,71.35260692623572,75.35490234133873,77.34716119316272,72.39865325701025,71.21154636780041,67.92093371825504,69.64458230739604,69.06890914679725,65.37691361620412,61.43497350737131,57.77181393314265,54.58455993899486,50.883461453872606,50.100613342587636,50.284886465552894,52.22182335706368,57.050727036412646,56.405840405439115,61.595598857172774,63.00247575827141,64.39616185597498,65.22251120568116,68.0289823050464,66.27368657579899,67.52050772791344,65.01825712737323,67.3245027468092,64.76983521191727,62.16576625166202,63.332109251111234,62.26150724034794,61.478961057741834,61.745544723488706,58.75396754343975,59.356926169467386,55.4351181871534,53.041178193505644,49.43687200900694,47.153424110779056,44.23988411629957,47.774795343126144,46.00052007064171,45.88777914594843,50.996333804341546,51.18171272860111,55.05295063404453,54.3008092206054,59.31778634373608,55.29769255529535,57.57154782579603,58.23800584696974,54.18507256567014,52.71571138729886,48.651726876947386,49.86491425695877,45.66556001207506,47.797434832187456,46.47898177199176,47.89501441054097,50.059993457430906,52.010293433741694,53.68808173142559,50.824693002868784,48.11306207486895,45.54851200334344,45.61315628279212,44.25503267762173,42.37535356539228,46.54722026918502,44.81719933734079,49.38738868791507,51.930964014713524,56.20903949514519,56.83789300119111,60.337880612277246,62.38822143840132,61.93235090230967,59.52780337988311,55.76802134834148,54.04896702801005,53.28145551218582,52.195023690245876,54.05645885696808,55.911899802790145,59.61399108493646,57.21781091507912,55.42325284755855,57.92255000380003,54.96277790037948,52.723291007815,50.74250007235645,50.32663476196983,46.057813094573575,46.54035101182638,42.75632264111049,45.462498505986645,40.64059265062541,42.2312814638329,45.99483710694182,46.34293107564923,48.84326051516565,50.425947836115924,52.664458322976074,54.76491801251727,56.51851793149792,57.22279581680591,60.867463704843054,62.62334807074916,61.97287425888747,64.19030613236157,66.7626231223124,64.1648858409365,60.79338769551775,60.26269805643499,58.10745736425422,60.14643265132744,60.49263766430061,59.980727774052355,59.29670225419498,56.64320521902844,60.91901351034812,62.84238960312093,63.66966652035096,64.93331920629727,60.10215985389243,65.27882703200221,68.33579587963773,66.07044512557873,68.66529214942962,67.00675430388337,72.0826624845023,70.93811005382388,72.29977034227606,73.47181910809812,70.373219271377,69.43234135466601,66.66220878663064,66.36834609176067,65.76842103711077,61.016663449587355,61.08748420508966,57.63666775369294,55.38219845632096,56.420747104568285,53.682487247079955,51.190915006433634,51.85804272686765,52.12490866705926,47.77132179464163,46.69067262297617,48.57461974621291,47.30552486797607,42.61853818202181,43.25899850234632,43.57226518556813,39.91343208734833,38.42647897015724,40.651595492096945,43.188021948839356,45.11242193007379,49.36561824196425,49.95638630719523,50.83831166519701,56.22044811155954,56.89112163708397,60.95658593414209,61.6741010674054,61.78021407625825,64.47512342449431,63.02845465510217,67.78692652947305,66.33292622156334,61.60791946107553,64.87787475732635,68.63910714170407,64.91575952936716,63.55110533813696,67.50429830005848,67.59554136606117,63.3138674523663,63.766599255145415,59.31138078079438,61.15856831578693,63.04104798699797,60.27369964069391,61.30583059125546,61.414882366561,59.31655845342036,57.323172045291045,56.292792479892675,55.1988439687764,52.33282516761671,51.22190570839496,49.986977408843636,47.13386057876602,45.87853560050231,48.71407356412165,46.32268257289477,42.03322947815578,44.80837818472194,47.74463888072713,49.26817063373658,53.0009724146624,54.19014514224741,58.12237308170929,55.34467836458197,52.05317061879086,56.946577997967836,57.76586709592805,54.68460246641533,55.862245897221825,61.108772079214994,59.01724883564762,55.44329787672549,59.40263140150959,62.80398729070396,60.24363543895318,57.36179256927268,52.883024718502604,55.99276487810604,51.83504946416058,49.98560606655996,46.39139195526323,46.59327315506796,42.383860995364216,43.113041384277096,46.341181710545435,49.75733429388666,51.47097773489634,51.86882489310714,49.213113845236045,52.23181060550475,48.56887421443103,45.62327342585337,47.79825243125981,47.46686549553598,45.59709760810224,43.80101106924155,42.42514167826379,40.99432149662093,39.59736037942722,37.64017906423559,37.550573336561854,36.40771082928678,35.73424804749863,35.585081142557556,36.88610817174189],[28.67613896609107,31.747883459712796,36.333715759038014,35.13539478311123,40.113632666589396,35.07484194298773,37.071186438484936,37.628253654574394,34.82500639956779,37.70238656815522,37.19200726238969,37.99293255436328,42.07362535346867,39.70294511394511,42.23330516876256,44.956380656777846,46.278958132475594,49.65365363341389,52.75115259950033,55.891578163720666,58.90258665897314,63.04807089802942,63.904378136243196,63.95035921496632,61.591279287867685,57.16989435022258,56.03896266981278,51.894924470510446,51.0371297773318,49.444391703178944,49.140597682771606,49.03965908521542,50.01592111149614,54.13274500267975,54.30391734204021,54.197307337547386,53.881673841044666,56.660508130789076,57.81522390188703,63.90962080433965,61.64048452170196,61.057786921561416,65.41627127993239,66.25623459139646,68.28936219339239,68.33963624344767,72.29753389882552,70.8287078330279,67.60881220553743,72.70866685971525,74.07376967654753,74.59110255037922,74.65513224262332,69.0934069762722,71.69934389776641,73.75247879096297,70.14589108689049,68.3629075672899,72.33216543920346,74.50765746632287,69.6640943459697,68.47628046265318,65.13319229618307,67.12352093046435,66.51745291861818,62.69473750082099,59.02183637160816,55.19810579757515,52.28365166975627,48.44894914919273,47.89942832281022,48.29947732348071,49.93842153545788,54.790272671612065,53.81912193272236,58.98590073846506,60.243410413385746,61.472447278479905,62.22107276189628,65.01766658939593,63.063584325876526,64.32672092304601,61.6291368494614,64.0194897072444,61.63536310843325,58.96722094708783,60.30299408270253,59.01416621650086,58.51239910348928,58.62762750720847,55.82637855571805,56.552883632536236,52.567212590530445,49.98999679613298,46.37763368205772,44.147210148465255,41.23998893823025,44.43510560550822,42.51978757660827,42.09900934083304,47.38651600677538,47.38094681453323,51.441699312009064,50.5950844626065,55.706557303701686,51.743152740422765,53.93218664125391,54.76683887348938,50.77143751706764,49.13648924192046,45.2174517750783,46.559646971935926,42.4205421652512,44.812150543099115,43.607765177230924,45.2778813003367,47.49990221767516,49.730825730461575,51.49436302183055,48.38095673511961,45.81302076623205,43.08019309249794,43.305900536573155,41.71802356129109,39.59554997214319,43.74264244474647,41.69558953918622,46.305031275156836,48.765350114680395,52.92370955215793,53.7488270768808,57.0973767703762,59.285656273284545,58.63141666336389,56.503234746041905,52.78415460060559,51.25026269475796,50.65060882416533,49.77557790225076,51.47346983456393,53.695238319284094,57.38122706264778,54.841491607271955,52.881059735336706,55.23665310193628,52.10648918026794,49.890986007109305,47.665892453222654,47.064093732272035,42.70873932999518,42.95182289492241,39.055859566977574,41.53490702382037,36.592920966670256,38.32934512211922,42.16905571665668,42.72858882224266,45.16794087749693,46.95806589873163,49.19622034679753,51.59104636308091,53.414656612820245,54.38851782817934,57.9091818632786,59.75275941195091,59.40347835024002,61.45527901616567,64.21083088856193,61.60148775802765,58.284909456134855,57.55760116482126,55.3758394524759,57.17375013129725,57.355422876784104,56.72625868698352,55.84844505582758,53.25156980093196,57.35949789467518,59.4712979384569,60.20146228603222,61.67504254584782,56.741739895875426,61.986004439470435,65.1292830687776,62.9814416875647,65.63704114456979,64.07862885913875,69.16939749081617,68.24376414483442,69.45273565540325,70.66842172716868,67.42997598373863,66.53125316631774,63.72842541134811,63.38223904834208,62.803990803962556,58.09789363878052,58.00405158134853,54.59823712003801,52.13087955092392,53.13911267284165,50.214018137816,47.852237157462,48.726199549906404,48.8126928383076,44.407486237364786,43.72210534221222,45.51634078059741,43.93070131549363,39.44853452862125,40.3161716185653,40.505397605675036,36.672204186161466,35.539632561982614,37.95048922011258,40.580630869585534,42.34462800131,46.93597553473024,47.20394183346359,47.97826925771909,53.34557814418189,54.01115670860835,58.039387235354006,58.47665453746373,58.51437197837405,61.080351755678926,59.526644956450326,64.36345850859418,63.082614331508566,58.3788429858312,61.536157563834536,65.45879699054056,61.884388211397734,60.44405656670287,64.3767961543285,64.720043158741,60.50142251409646,60.832280077717094,56.28399741416419,57.84361488753559,59.63872109596027,56.78294278604831,57.63044796679447,57.6263962606153,55.473574041922625,53.657852787362636,52.57090813710871,51.304657952710144,48.527363321884586,47.57261648576212,46.19042552304668,43.28564380594939,42.24555124821711,45.089099948226355,42.58782464837939,38.36976450254603,41.37849387105824,44.300645649949466,45.93660903116837,49.553408183281725,50.672292834805,54.68346377206767,52.08476575069321,48.836412460593955,53.6707470677449,54.68486174663441,51.709668352494724,52.8545465708005,58.128822899810544,56.29621672161341,52.75422624135183,56.61499937795387,60.11498049924718,57.79149144750839,54.94686114609452,50.50606811743526,53.897754018958,49.861434776164806,47.87638612299812,44.216422679170726,44.0399581554688,39.72918709071757,40.875460421596145,43.9955165625925,47.54186523334353,49.04829148097503,49.1352210622744,46.34805452390364,49.16965913590905,45.51807824874969,42.41950442040801,44.26453669880606,43.822142445516434,41.796638465201916,40.275176533184585,38.92155341400064,37.2347795527895,35.937016589306765,34.26253789808288,34.00226596449553,32.570297475275886,31.87071530300298,31.610725889621524,32.87573809440487],[28.701965273093588,31.517080296360724,35.85894954090578,34.108726879312975,38.91062199516696,33.76166138491208,35.35886901065781,35.92400709665262,32.7171851233753,35.221710689536465,34.50286870547533,35.51870739570598,39.489552546998574,36.83951135727936,39.24661279411714,42.11352518523579,43.40838424929182,46.583800581871216,49.53012607180082,52.81668452565761,55.68510745139231,59.897779102143964,60.64945097121075,60.75971678817371,58.53281382849742,54.07300103905294,53.13582462934049,49.04387429784068,48.18055161273821,46.74686284432083,46.10368969823942,46.372176357604296,47.27759577508334,51.22736109506247,51.502987186192826,51.29681138783825,51.26787413534297,53.90631909540237,55.14059106697408,61.33706443304962,58.94660798726191,58.13515623431567,62.4814634531671,63.47132898638348,65.50197959689072,65.72819234069834,69.63890414992194,68.10256287594022,65.06559536408639,70.26532095519529,71.53074079192571,72.1707954887285,72.093512262444,66.55669873277958,69.04866834356201,70.97816019528874,67.3013656309424,65.53524961825721,69.44341169068409,71.5514965384495,66.60632525453903,65.28985502295929,61.948397386365606,63.76314566952216,63.27998780726863,59.54734608814021,55.68134655641062,51.93471794385637,48.882786524132925,45.069840363837315,44.42870349252524,44.649530040738384,46.3890826390796,51.255618998095045,50.464767874215994,55.58814916429059,57.027198441935134,58.323555210681285,59.206858001261146,62.07890932688005,60.356012688159396,61.749923322760615,59.2839240962885,61.75245341895053,59.25441410793539,56.48842443007846,57.55858097026683,56.36353487750383,55.5596825738602,55.67852908922443,52.70204070936141,53.26895238749787,49.33599139367345,46.91425799226762,43.35681007313763,41.02512694996488,38.170554573463036,41.70751793752282,40.02520964794865,40.026491800119956,45.1090230618858,45.56221697289171,49.35540148380536,48.89572387835719,54.07107357419666,50.240523726156546,52.73436684240311,53.62001962702399,49.72536668884152,47.97680940836665,43.97248898070842,44.8963182873476,40.57371949997665,42.733370179996065,41.149030492500486,42.75485956216223,44.73771888693673,46.935861352371774,48.377966014865486,45.304648663885004,42.73805782703167,40.1645896699251,40.58157075233979,39.22552395947808,37.3771939048215,41.78591278610918,40.211561277080754,44.72520898500953,47.39031800400705,51.47124806163926,52.506642214099465,55.96913608651664,57.90844463748788,57.164238714809805,54.90586850568387,51.02335044428804,49.69988320627518,48.72655055159785,47.62771973495249,49.23201225837355,51.223358116314955,54.725615128608766,52.09382003301128,50.30477242332856,52.64679662693346,49.502742118376965,47.39721870057632,45.30046407150574,44.971352253731155,40.674259656523,41.28741673039754,37.32879314604918,40.10120746486902,35.278079806967426,36.55513389250613,40.32944740695274,40.64683242236678,43.349291009010315,44.784933399367304,47.33636773882777,49.53515274101756,51.052891102262656,52.0564403583276,55.53580716462901,57.5648579757756,57.22240565887855,59.512495525227436,62.274621923209644,59.86233280513037,56.39643238269549,55.75403527558305,53.36807253136008,55.1643430727104,55.30675161296352,54.599145489066046,53.84454468470134,51.01238743708426,55.26906000138641,57.29345144488938,58.22671839551624,59.65505142510075,54.9696801848587,60.29261584569693,63.414578916962675,61.13610141463059,63.5088623283654,61.721249599351076,66.86886871009385,65.8709714026226,67.31874227577967,68.68542830085615,65.50356705136501,64.83490695884859,62.17047987507639,62.01698283925039,61.66808897268408,56.96775701749248,57.107024062533775,53.90264428257366,51.37676735000192,52.77630413590482,49.82049639359169,47.246399203748375,48.41040308274703,48.77915013059934,44.22831411186777,43.44734608728209,45.63613445624121,44.242602782388,39.515954956708526,40.597077479409144,41.12675188860598,37.13680278966562,35.868012747281206,38.70641780005152,41.107542362588106,43.324902073427566,47.541320157484044,47.73170282751106,48.798357270995524,54.171724975866866,55.183642723582004,58.978247872006385,59.309672007679026,59.06494347256731,61.523222160933685,59.69053506829476,64.52564156721722,63.4089365720132,58.43953123323389,61.43328134159316,65.45488961215649,61.859245716768484,60.180479423612184,63.97857579280203,64.47276006489444,60.24242803928436,60.16765277937467,55.84520736629652,57.2160811895498,59.2212017901453,56.627148802078686,57.40749249512972,57.683594381448586,55.22202516113766,53.37018973708823,52.712368333533725,51.346047468094284,48.29192049809161,47.61572199071019,46.50004271593954,43.514853307981454,42.47345234045357,45.69721732929053,43.33204149927149,38.98912464940169,42.18617416413125,45.32426771487348,46.77518078093898,50.294323138282756,51.08438693454168,55.20576741280824,52.855078100049845,49.258447539038904,53.966868920261945,55.21336708080654,52.20462250116658,52.96620737427741,58.44059068118587,56.77390790158607,52.93706172888039,56.58571365556722,60.36007405548629,58.11462067894964,55.07612199783354,50.530200144229774,54.076111000797304,49.92937917073928,48.30650329860713,44.31841971451754,44.102096119641104,39.60410537093192,40.646081245088126,43.63711279600845,47.217330624894494,48.54997683323524,48.77889521340364,45.61120587397056,48.34225274281702,44.39641248706764,41.64905350834915,43.51967525432045,43.409783325924195,41.10593765886803,39.438950640390246,38.58143646926119,36.94658978532177,35.02776871968668,33.672628390592905,33.97895737039919,32.515019597478805,31.460137997022695,31.00387823762573,32.09068077898161],[32.87041249344302,35.70052990873361,40.05763003371775,38.21385068375467,43.036044163266894,37.890233008954105,39.38227661860441,39.899984630342345,36.54760631632523,38.87070413426719,37.95634762965667,38.98609127953435,42.99763242151255,40.20504750988681,42.3947838407091,45.355746231442595,46.72360177031726,49.69433120655047,52.52245350416562,55.9355457321198,58.661719424835454,62.94130562054907,63.576947097770834,63.738259527437805,61.66902786232174,57.194825638585826,56.440070138980865,52.401205862846325,51.49010418162763,50.1214225291726,49.08545824376391,49.61249206366371,50.295944108743086,54.11779550141178,54.61759423176371,54.45365446934814,54.63246006404241,57.269991442314634,58.60175830384404,64.84244547686106,62.41293932223655,61.39841336686667,65.71716717285472,66.80798436049055,68.83575569480385,69.20294446136248,73.0634244694211,71.47012547532422,68.59555435755635,73.83627924956993,74.99212255784879,75.68763163218638,75.49258103179119,70.0042257989118,72.47761482424107,74.31172828862506,70.56742901849174,68.78430608724527,72.62989898117199,74.70132116453115,69.68753813891588,68.19416296614864,64.79258236395403,66.48199536555683,66.18203309980004,62.539462203031356,58.48803879138585,54.79639395188556,51.63435308587768,47.818553528659436,47.10529629521328,47.040409401598545,48.85833738421285,53.74604606231813,53.13093843273612,58.07917610334969,59.81344092734599,61.046580336663595,62.143440222540136,65.15892515797857,63.598273772066,65.1573047981936,62.803583324171306,65.39059611368604,62.87101941954993,60.00677717439179,60.889404500581094,59.65993755472526,58.6564711281218,58.593585025668666,55.50494386502693,55.787703811357446,51.91198402081848,49.60911243563264,46.24712196507088,43.71055185842023,41.07866812458335,44.778597767373725,43.30809322835642,43.378646056989474,48.49958502680972,49.205048649639984,52.956170760901955,52.712974815895684,57.97352424700237,54.240030382602725,56.78598080074044,57.725132341656895,53.87167486460361,52.08721019213988,48.08672421812457,48.9063981410661,44.527864568968305,46.60488705405651,44.81854468367102,46.38094178857344,48.19745178968634,50.33113167146732,51.50104292958877,48.47199016995078,45.92389627995856,43.50661010500921,44.05262048448672,42.875829382529986,41.196641284752666,45.712245921849764,44.32190815327717,48.771060226069636,51.4794257065422,55.53105575070864,56.6304971264436,60.10566163976022,61.99104191996678,61.210790057552245,58.93028809418264,54.999895763522524,53.74187139947356,52.63754578907755,51.41278988197135,52.97683036660255,54.77960508359272,58.179102401692234,55.51641549931781,53.865947337274385,56.19972960827683,53.043910382831356,51.02857941596393,48.990560601198275,48.7886910544095,44.509998927424945,45.21926947362978,41.16483389054984,43.88601845425266,38.95112388080128,40.074111913221806,43.9323588251106,44.2805912091097,47.13346002240589,48.45265573206101,51.206354415054435,53.380008475259075,54.71885996057466,55.773028473612634,59.208769561507815,61.34353429729245,60.986846678396375,63.38854516045431,66.11785030010108,63.7788827966612,60.263450689260445,59.68317651617542,57.2278419444605,59.029029225414334,59.14646794153491,58.369673456429865,57.61688246418737,54.64869307494776,58.899822378745185,60.97384472504734,61.99873565114105,63.475776169457596,58.90214404992029,64.25797069262867,67.38055262287585,65.06215566236875,67.29955474117631,65.39193334910686,70.57018885475708,69.58761699825601,71.15807696492567,72.57801224723802,69.4526324276723,68.83055745060234,66.20593478969626,66.10402330277897,65.79703747167146,61.0983300459247,61.28675339634593,58.09323787668063,55.57635203244957,56.98841620768122,54.024828860935706,51.45515816908241,52.6173420938581,52.97560160038201,48.43597708870115,47.635422989808674,49.80406278633497,48.39220958296607,43.69762210223486,44.725021912021234,45.20276166618718,41.25363660107058,39.97205287485808,42.69100914236436,45.12544266231028,47.265734787488014,51.50228925453197,51.78676426848883,52.80466913621062,58.17964787048055,59.082559787315724,62.94092176778173,63.34293209708597,63.17215743672361,65.64096216096284,63.84749331522361,68.68651566342392,67.55710199795423,62.620537443636294,65.6302409962221,69.64441402777325,66.03755272060452,64.37891738269636,68.17822492848914,68.64644832458703,64.40614378342596,64.34376820250102,60.041256141266786,61.42355331839482,63.42791521671924,60.81851853564865,61.56818339632798,61.782948267102434,59.32088695862526,57.537382932551346,56.82741307479991,55.40111915857325,52.418594114858,51.76853581667003,50.5663517042168,47.57456968093585,46.60381556382715,49.746088552634404,47.30529490582999,43.02373818688106,46.2108988749449,49.27224226443062,50.79722196217812,54.33774409942413,55.20118423277087,59.30519937049762,56.90280550382864,53.38823685260928,58.12126317306925,59.31747948957843,56.305459629624856,57.13110491480965,62.57554677654483,60.8380504369303,57.03934642340575,60.72945002171353,64.4541758772253,62.13623308740552,59.10881214493852,54.56532344839529,58.00023641618908,53.82510249419426,52.1962411161905,48.27177347113607,48.17635547715188,43.71625495531892,44.63981334409422,47.67735496309008,51.21819004683474,52.61847378392084,52.92946686601606,49.78663488930658,52.52785738555734,48.55899514480019,45.85136696025154,47.709327684125206,47.593004449830005,45.246689573391414,43.625232087571284,42.78582918691615,41.09401909050988,39.17727820332887,37.88798682865373,38.15312061846131,36.62753752892943,35.5195696753068,35.00408148926349,36.04116326975169],[32.52897285987576,35.641553772427386,40.19008946807973,39.036554353089954,43.91525266308758,38.685977080671265,40.54564344390068,40.867906621531546,37.95426615824464,40.75323693773725,39.968584713611996,40.61340528825967,44.90013597701689,42.52444077708883,44.723909575877705,47.49894657770714,49.05360586508203,52.24626803022752,55.37979444622423,58.55830799522747,61.50985707729355,65.69806096562249,66.54008239927617,66.71859941682145,64.4413168337281,60.010562583314844,58.971220319849124,54.834952034821136,53.796256646928555,52.13416212646657,51.4169546940374,51.44136619901831,52.116075325912966,56.16326188213903,56.61069206396088,56.67126124232363,56.48292665135744,59.43064186931397,60.75103119741237,66.85101826732587,64.69211465054391,63.8895911023341,68.19671988502094,69.16977209427424,71.28870336930258,71.48905813974251,75.39859805135407,73.7938354301418,70.70014600712655,75.8567629192392,77.04321743096006,77.5534733423798,77.4706312515705,71.94616235276374,74.45966780997699,76.47972831563892,72.85798558833322,70.96529456105588,74.8412756346977,77.08337017420206,72.21341079257382,70.80135982903242,67.35162627377119,69.34062266988751,68.9474975021263,65.1578326224071,61.406447885693325,57.55454118248607,54.659657889120986,50.737483211519915,50.231924737254836,50.40125482607667,51.96942006437352,56.86762123441338,55.923591121153535,60.86316676095237,62.40394644478057,63.457217214611994,64.42813540558909,67.39990431308138,65.5331017151726,67.01656470527193,64.34633598527844,66.93699443337265,64.62165981856208,61.78993200597371,62.98772358861073,61.52853210984356,60.93902443506724,60.73648463317155,57.904377330791625,58.347837145898154,54.39251859059845,51.85219657553998,48.47438882302998,46.0142262647083,43.38324402848569,46.591730170508555,44.859560052927606,44.35025606792246,49.794864702499666,50.00472646369805,54.12337354029626,53.50272898719227,58.78241922235174,54.97568819264643,57.188018163099535,58.18948270470773,54.2822715359864,52.49955686087935,48.673707758942314,49.946044328084426,45.76625078640698,48.198700570867636,46.797307720405364,48.561054150963194,50.60494293013378,52.91719473052978,54.39112673387769,51.18652259751701,48.71898092127625,46.08285379522449,46.56502768420478,45.07117345470247,43.02551618913492,47.30434051952138,45.316566494018325,49.87053169317761,52.344624116472595,56.392456499191766,57.41571890844372,60.69366957373463,62.88828732490858,62.071687414277534,60.07518170479087,56.31762317101382,54.970814364251765,54.2966877134045,53.37777563125434,54.93549872326774,57.12904851591154,60.680560302051894,58.0147649395917,56.13272097981834,58.39724743899411,55.149357477444205,53.059687740937925,50.765457979205564,50.2221330872738,45.83904779120431,46.06946250042572,41.981785805502945,44.26953829232265,39.11318750521355,40.72473678291252,44.72117656102042,45.44163961732287,48.0448835498086,49.804394327327216,52.30745907789404,54.84001718899773,56.47640079707694,57.671761059411836,61.068086547628475,63.101948470669925,62.90251848628182,65.00713964064859,67.82959971751592,65.30560995164734,61.95406703401404,61.19219689643277,58.90377084570053,60.56989755080507,60.62307448088638,59.83643867127789,58.84853562548761,56.108918075612074,60.113763029400126,62.39993749792739,63.19263702388747,64.85364369355905,59.99866864115048,65.3255972102394,68.52243834293341,66.39004326875923,68.9090595495273,67.2555712988977,72.39630176398005,71.60801282213038,72.88612648533125,74.19828775943155,70.94573762968287,70.1312498509548,67.36231120018776,67.05576661937916,66.54360195042675,61.8724099651834,61.74747118987289,58.38502927420903,55.806534234273165,56.81896313684427,53.777267959997516,51.49556271793877,52.492579998201755,52.465779233008796,48.050921931338216,47.56933385727398,49.290047175880474,47.50472027240123,43.191150372296164,44.12443601595772,44.18261892594363,40.312908704570695,39.366044447457746,41.73632113039567,44.446461328628956,46.017628323249625,50.80594764305887,51.00937467599734,51.661282378082014,57.00686333123893,57.53610972249902,61.6055409298051,61.97272040742578,62.066799839631244,64.56736552264098,63.005042455209974,67.88536774490787,66.69040053260417,62.04616221821,65.15545468380684,69.15864306091088,65.65990564383065,64.20113775433448,68.11599819032206,68.57197375902517,64.3834468974582,64.65535681153233,60.08744554679135,61.49090335916833,63.23492076009639,60.31173718882243,61.009959744130946,60.8635815579122,58.67575857313797,57.055078258185304,55.875761417038575,54.430777727534995,51.79577559376035,50.974783439616644,49.3994480348187,46.459955905286556,45.64386157761365,48.38590878714812,45.731459061112474,41.64860827641482,44.77555731241643,47.580997269514256,49.37212855033042,52.93812420516966,54.105995344569614,58.132600110575105,55.57873878138994,52.46667815881595,57.28722238483153,58.34924555986396,55.43650619748945,56.63845363421443,61.88438959387205,60.111219680407416,56.639773866828286,60.49000356415912,63.97923244272707,61.699618418286065,58.89464298319994,54.48567928710249,57.886280863799875,53.889517165098844,51.82972822059084,48.219310473769646,47.9854493481517,43.67335514996664,44.89703659703536,48.00427115990889,51.56709578659804,53.0396768424159,53.056997338792,50.22312241176421,52.93815503008744,49.26052810109957,46.135385378158986,47.77002645758955,47.26379524275915,45.08925658017109,43.78557753279434,42.486096337014324,40.57915509775288,39.324327873393344,37.916370746989635,37.52498297437112,35.84527915267948,35.035261622463146,34.619856535877595,35.82200368636382],[30.333849702464843,33.36424777521386,37.632262167989964,36.58658537704999,41.056697334873846,35.36223726921652,36.967692093382006,36.84571952764778,33.89345153257125,36.77384025237303,35.744028004349964,36.062399481119186,40.64505495016292,38.52658174673379,40.402115844715375,43.09965980052273,44.99647384105206,48.157533423754394,51.584184491772604,54.57815256143968,57.66595399174841,61.79408705464177,62.84432992201215,63.226499724428564,60.81816307009032,56.412381347994284,55.22458338872969,51.02499927730696,49.6852042981576,47.78160529490576,46.9281458119614,46.767673345783194,47.25909386987006,51.36495280068687,51.93901073551227,52.23622769486238,51.96089877071067,55.220349263969396,56.714882969902334,62.73216897731216,60.88623437609585,59.97282442030891,64.19828327452007,65.2775355807929,67.59825112465863,67.88402301490395,71.76708809129224,69.9505209679443,66.85434004559183,72.06963228440264,73.04754245408839,73.46054407574438,73.25977088034837,67.74414817016041,70.03242834347695,72.14887218407272,68.64004484752209,66.56235281950421,70.34332754354145,72.79066787307305,67.9936872794308,66.45902240846193,62.92500572790119,65.14096237952236,64.83133225306992,60.95302750914925,57.415177096651114,53.415082271038834,50.79332669839292,46.7177103957575,46.460120873003206,46.72990258254866,47.96175331004319,52.88894487837578,51.65394327818252,56.461760335622785,57.992556859301395,58.830023178222646,59.83851006076499,62.88089370611329,60.92866674382422,62.566421486227874,59.798912938217235,62.58750480836414,60.43585737472265,57.43594495914265,58.651277403834065,56.93354831210532,56.497495839097276,56.01932248756441,53.32410859229282,53.75016172514811,49.760679981069195,47.09448535152365,43.82107706614781,41.307287364769685,38.81756757141771,41.76943102913074,40.0523738141176,39.35493207909543,44.95152493779737,45.24986467745155,49.45998051493184,49.01212072469322,54.47897950727801,50.88147819121704,53.152610243261755,54.42881092424008,50.69519813876745,48.62043413576747,44.97024133047361,46.13912671732554,41.944595283466164,44.55816577150638,43.036914871465704,45.08826283003748,47.00313126546763,49.63890523050719,50.95385851286861,47.463522116512735,45.21627327208081,42.513794502237445,43.36261013870727,41.75899150452249,39.61357287988364,44.006359329322905,41.92596875137215,46.42848378628828,48.9017389544118,52.708225384365996,54.134136856006904,57.257876958783704,59.4692719599993,58.326915769202884,56.63169646482582,52.84356281074179,51.89804625928459,51.1960603656734,50.395615660386596,51.65546359620181,54.13706070028951,57.52072620359674,54.61702430358416,52.66110527884085,54.71045360799395,51.23275242929278,49.27922561110474,46.75156884287155,46.153814384783836,41.71424413114172,41.847473463829935,37.543166142716565,39.630188972082934,34.32845959494063,35.80984659133879,39.91547919350814,40.82064631218306,43.53826968702867,45.340850629083945,48.090344266401,50.90267578421479,52.39166557472254,53.98525104575193,57.160353172161116,59.442939540027865,59.64198471841083,61.68588031005417,64.72989741951635,62.33327156007104,58.97317809934767,58.02244262824835,55.5734933457664,56.908887877749,56.71013516719756,55.69727630813019,54.51335928239272,51.680966552319525,55.51610792637834,58.0283026140799,58.83158882590362,60.7684199444137,55.971438135876106,61.424374837739514,64.71532233793455,62.66208419990099,65.05326223870202,63.370953630699915,68.56353186363579,68.04208729136272,69.28469406269134,70.75158533998396,67.37684877331935,66.75307781136001,64.0399721154115,63.78760030129957,63.446146152955585,58.86259095234893,58.66695294619275,55.49364362147678,52.618513186093566,53.8084107083166,50.51259248225628,48.301532007604855,49.73206605432939,49.62134367464848,45.08919342094644,45.07901559302716,46.88134752315802,44.79105149628721,40.66320305844358,41.98930314924516,42.05805491535586,37.92269369116256,37.37687474007194,40.155041801490434,42.83745729678825,44.419775316471146,49.393944154167414,49.174084624757626,49.83164110320018,55.12566507131984,55.8189701806002,59.68743385661013,59.66385513985431,59.53409138593478,61.79536484021628,59.9524512361111,64.91678930607027,64.04329489801512,59.306073857995905,62.16801146414699,66.4198847710645,63.11358912949478,61.43549658868863,65.23381804869096,66.09194016117438,61.99063180415924,61.88153953537136,57.34602925627986,58.264947118434605,60.00088243141578,57.1136708907606,57.51257714218001,57.351517890709616,54.91700919143961,53.551784435477735,52.52804722603666,50.77175008245347,48.141457931483686,47.71092516355087,46.06271861881864,43.01904627909645,42.53601618656976,45.45959986526067,42.723067052597166,38.7220944298771,42.24945085319506,45.110550322668075,46.95814261069688,50.29816140287973,51.20201496218205,55.36985474365116,53.189918068051924,49.9840162508158,54.63512338494279,56.06134433088856,53.28294601906139,54.24102959341656,59.59706003107331,58.23377864409734,54.67116309668308,58.26897683500441,62.00261272003354,60.05174240157501,57.20519689629978,52.81707668623255,56.59507468781409,52.70970905968537,50.68848841352772,46.86539605504452,46.175398675946326,41.68284038762423,43.32496815015739,46.21634632285525,49.921859404587686,51.048117128790345,50.7736119290996,47.589004169276,49.97345561693879,46.16737631257619,43.07148373224213,44.24852515908334,43.77865582814834,41.2273936557389,40.25721819954794,39.28481141277984,37.04037333243414,35.58715396927099,34.80000575903153,34.479833244832896,32.36588410413523,31.254489675885747,30.538502058508385,31.557343154041806],[33.56129445049136,36.38265196523966,40.338650144859514,38.96134937316382,43.07711272078919,37.11279445883682,38.20448978923207,37.76761577847538,34.43622717864015,36.923349308242905,35.41266212531664,35.65124102300086,40.36528663782864,38.12497679662364,39.45380817517675,42.26399975230898,44.445457595011185,47.23263459525224,50.63613931487403,53.70415696832881,56.64235240486422,60.825789400113294,61.83466111433026,62.45426764999943,60.19486992434324,55.784329802906186,54.80048135696176,50.662290392071014,49.07117300836476,47.17534771289374,45.60595777923,45.81888197849465,45.89247722364616,49.7777324250072,50.74686174801833,51.19597782666161,51.254263417483784,54.62716810484265,56.38253634092396,62.42426223031661,60.683879022708915,59.36199193093165,63.4845270205626,64.8301844494261,67.27307016232228,67.85703350823798,71.63698288454772,69.5898816534595,66.77032647274721,72.11293971592183,72.78971831071884,73.27051392310588,72.79204618362915,67.36424487292042,69.40859426033816,71.38759197185838,67.8462836657062,65.64393392635493,69.24227951931833,71.73406293524745,66.87219275950386,64.9950789893749,61.34835659693839,63.486408337199606,63.498754969079194,59.71895080680894,56.03641476263524,52.049431379338785,49.43778499169432,45.27909540906606,45.07607252314626,45.01088295468817,46.12707676967152,51.07853270238136,49.93463427252865,54.409477309508276,56.35931083428776,57.00712282070939,58.354295636990216,61.637499083939716,59.93972163369228,61.924699365986484,59.36012546713063,62.44086356468892,60.32205767439863,57.05941650553471,57.92824852824481,56.05676296970681,55.33753775488491,54.47149533094267,51.658177201966296,51.66111675357422,47.758757806666125,45.23605855552095,42.30822647043367,39.47904955258946,37.39268967376693,40.52776322297835,39.213162746750704,38.73575413403346,44.299998080097815,45.20922894949547,49.24169881303488,49.37421182841001,55.04881079780228,51.78270205214184,54.321259544639446,55.845902240986625,52.33399233625614,49.98326302249408,46.423968193731625,47.16566428933658,42.831418251065024,45.31888619542676,43.30563286231251,45.4480488116645,46.96015950106577,49.713495733023905,50.45279686373456,46.854269998103554,44.792536478260004,42.31396622276663,43.64029281532737,42.288948520657904,40.423858383263884,45.11026118852222,43.44356585094115,47.765726583125634,50.38783471224198,53.95077861475586,55.8004081271975,58.89903759498439,60.912379019526746,59.48349912306009,57.884914231247535,53.95066309344392,53.4390776788334,52.38244059381267,51.41156603853277,52.387866260376626,54.7217669477987,57.773603789494764,54.64157793782927,52.88383767979993,54.76398884300027,51.13050961604741,49.435869464762526,46.905562952733796,46.56729510236507,42.179127720853934,42.57501259236159,38.04088768337825,40.110283442488644,34.74708511181028,35.66157719578593,39.83475456449374,40.73399960881369,43.82248275928214,45.299089514540164,48.58814142937139,51.41987596049075,52.44123012468689,54.35822244497281,57.30472540634175,59.95471858108526,60.402598395004276,62.648577873726445,65.79412834026478,63.67069086922333,60.18236632045263,59.22789938698291,56.502216849175234,57.62538486449251,57.214567040664896,55.94237422750185,54.71073613743282,51.54887314393264,55.33707753595884,57.98742709839865,59.00917720936027,61.14032642059034,56.662168376827495,62.25327753470711,65.57989788478928,63.46864076504705,65.46549439806375,63.51621256683737,68.78315916654005,68.40707893734519,69.88254140380789,71.58646387288216,68.22707942207583,67.91753858589001,65.369480098019,65.31420768126004,65.25309321400329,60.745875029063626,60.68816815829042,57.77008675965612,54.706067283243364,56.235913971210586,52.78471521883401,50.50744444723325,52.347051178133,52.344243575739,47.699401286573824,47.877752648750594,49.9259991301893,47.77754207840418,43.66504971655125,45.26641433507941,45.49270095279389,41.19616283485833,40.766401847946845,43.87675842082534,46.426177277527295,48.20558568674184,53.061931181516975,52.654208410328245,53.436154868844824,58.68767175133233,59.55501463171921,63.25071386331405,62.99151265367482,62.639653695528565,64.70372234423652,62.579504155374416,67.57753128371108,66.9776376430499,62.08491773692268,64.70795054598851,69.1420521326908,65.93812598661313,64.01964614432117,67.6590903615091,68.8121625491961,64.75896519120232,64.20778629046384,59.8570702468719,60.383161636922644,62.230034709580515,59.51582593503727,59.66532545247717,59.60413860441151,56.854221725123,55.69424023432813,54.97376994059635,52.92873695293532,50.22074416795299,50.21256589564038,48.61407620971815,45.48671362424319,45.25886387251897,48.407397208785255,45.66212327107579,41.730985630979276,45.53530116336899,48.46239582410327,50.287743979985706,53.443636496083656,54.06883971326589,58.34334664834136,56.48129301242249,53.112791511450226,57.593951113059454,59.30640448554388,56.59218776516479,57.248738967038975,62.73395254960511,61.6380111330819,57.90247168222787,61.263698897268156,65.23695915906715,63.458335472899925,60.496574504393784,56.07120301235714,60.04156016566017,56.12993353860388,54.33668807164091,50.28279445040714,49.433496831264684,44.790608744487486,46.48712535749351,49.217410744117,52.974071651362244,53.86277811824189,53.57761381802321,50.00794100706518,52.15137443697574,48.092287829086644,45.28442411724476,46.1892669677224,45.94017738221784,42.96866466512295,42.166240266731975,41.715097455203214,39.2873692377536,37.347483209472806,37.1870507633392,37.221733520893885,34.82248925459368,33.349612547583355,32.27866146975099,32.991775184150754],[33.47639792337853,36.01725549919196,39.65689652617666,37.85594627285548,41.68715894539877,35.6556621613344,36.325364643221505,35.82183182420596,32.16172980569739,34.264425617590156,32.50743896478336,32.87637925131307,37.491454175825154,35.06729900653365,36.16967653297423,39.07947166591576,41.290714486302136,43.85491769276051,47.159194920657015,50.308492799352344,53.127434005765636,57.34745998207265,58.29028159150462,58.99814267341672,56.84481742268573,52.43341509011441,51.60331056795714,47.53019863264596,45.882294711068035,44.10535775831926,42.18220823024053,42.72685014915034,42.69567122257605,46.41027562669128,47.49752288296456,47.89086848191069,48.20905290257963,51.483116610753356,53.334343576771126,59.42138444509945,57.63452887418975,56.09088600353047,60.171437355709145,61.648207649639986,64.10857615954583,64.86328922599212,68.57893970075887,66.44494352594172,63.809679241142845,69.22099577265477,69.76912988710043,70.34548453141043,69.72769934190131,64.35284953676641,66.31379165122841,68.16304136111735,64.56530519204684,62.37428010134737,65.90539678926962,68.33313734873174,63.40696860263808,61.40850875212556,57.75228853859596,59.76760506460698,59.896591990593706,56.19605322879747,52.38482662811335,48.45149422174052,45.778357249776604,41.623968448440216,41.394958425193124,41.17870868100884,42.302349140486356,47.25453102932591,46.22771550959416,50.62366117744375,52.73839689438742,53.415941193204304,54.89131717782564,58.251093603165074,56.75656673756359,58.87179490022803,56.52160728785131,59.68870361126537,57.49635757164151,54.136150034896964,54.756760490786334,52.94211286591814,51.963113291575546,51.060919634532304,48.10950469618195,47.95683843831893,44.106482046032795,41.72105630914612,38.884227303043644,35.947717874973904,33.97174122645499,37.379087165883206,36.31852862635695,36.24312244753505,41.576964983268184,42.94369042123467,46.69497211380914,47.22182214146966,52.932417230857126,49.84450502010142,52.650065240782325,54.23889966440944,50.869765278138125,48.4090159941933,44.82593966700597,45.16397358789767,40.711357758140146,42.989667784789376,40.62612894604415,42.744902585215144,43.99441001739247,46.7554230211127,47.160542365351894,43.560024417391794,41.57452457039486,39.258734989570584,40.8377726211304,39.693087418393155,38.08447610376471,42.96185604552652,41.728855468142534,45.887004931457376,48.6601388279804,52.08918155994161,54.168460718596535,57.32342573378104,59.10044871603432,57.559204316064054,55.89530224582769,51.84304563760499,51.59509779851804,50.21827292190619,49.083064403481316,49.89634662542114,52.05744999790299,54.89242605084289,51.655916991296756,50.05416079510318,51.86622816383017,48.206652998749675,46.655739977827665,44.22527774448573,44.13385366143811,39.83864773998696,40.56487318672974,35.99492410838504,38.29373218793179,33.11012065642051,33.52691988650905,37.597157965201205,38.27572343903546,41.60660381728009,42.73352620959239,46.32740855887345,48.9960466808322,49.700738317397395,51.69850314596845,54.54760724810754,57.38453013429568,57.90463215794958,60.332605876504125,63.49477479599132,61.57997990630643,57.98690848479343,57.08395598351717,54.17390812683638,55.2336056202079,54.75538553388948,53.38639073521258,52.24889079626661,48.87282335772409,52.756178361439005,55.338848396366544,56.54547186303541,58.65541848233435,54.44502591786612,60.08561762443922,63.38559990550309,61.17849290447186,62.889458558842605,60.739948684599014,66.04046674809675,65.67002912878229,67.3407617581452,69.18773198656577,65.88710294784146,65.7949041363196,63.38801687889724,63.508658583257194,63.67119403512727,59.213515704156165,59.35171281806663,56.65412139733266,53.531317524831714,55.41464855153346,51.94314309155243,49.50389044035562,51.626408655696416,51.86574926432513,47.1283909136912,47.26841152870082,49.64357080440972,47.66266601889605,43.3973691052534,45.19685552098426,45.713990019858144,41.31663872732074,40.810588668323575,44.27053774615934,46.59749566619089,48.74848893892319,53.25907722109465,52.749761838504305,53.780713912819145,58.99594676021519,60.17970181322837,63.63750105752916,63.25604649576774,62.632991758148044,64.57230582764468,62.18669482167036,67.16050723453213,66.73513539283023,61.62317042219157,64.06255495205689,68.58227656185359,65.39223891451692,63.25305139190612,66.73898040385113,68.06178013645142,64.02966736256361,63.08523319876329,58.966836793708396,59.27344496958241,61.29626693663684,58.84096001894026,58.90736528709968,59.10786634828381,56.0763391864728,54.907404711816234,54.60156938081453,52.46571580024214,49.521724349761406,49.79489549744127,48.45912831388602,45.287525794756334,45.073304753635725,48.54749852198154,45.95860990044514,41.95921775393124,45.90253935674673,49.00214501246401,50.641356573027146,53.67116696413517,53.97552248266402,58.32666624168589,56.724359139356174,53.060548309624075,57.38184807556929,59.31644394519567,56.601171980341796,56.895220576037936,62.52875389257589,61.62204422586076,57.6465810539766,60.774426076363135,64.98478439631293,63.31745112463078,60.20369711519452,55.72753554904988,59.84151677476848,55.88228319903547,54.40444534434638,50.09365572070605,49.16628803231911,44.39915694826678,46.04082045653454,48.60754355199687,52.374367912294595,53.06138533348102,52.86334020585136,48.96124872288571,50.96167707398652,46.6734885984108,44.2107712698146,45.07538439828577,45.13480939208515,41.9146629044707,41.020303191526786,41.05583566132735,38.68369304765352,36.18943540627573,36.39562688937816,36.93618988022534,34.51984607473058,32.744287272945314,31.48835951344985,31.984646635628305],[34.411976821978236,37.1646981459158,40.814172822896715,39.76331764115522,43.40473226526891,37.079226295579105,37.93876314332047,36.927850626342874,33.72547772974808,36.29554172258792,34.47709663041739,34.18364224513518,39.25921534800283,37.44200722895068,38.23405266169894,40.88119053396479,43.534724244598046,46.20531279387949,49.94189824674232,52.74211197498904,55.80696436273288,59.88134206508778,61.130614560893754,62.00931857125441,59.62788151187297,55.299276548241124,54.15470803454703,49.99333767327034,48.009902347421104,45.790115389590675,43.97138686270813,43.92169626207291,43.62481498792782,47.539433791919684,48.76868763613807,49.60622952694213,49.544538225034735,53.354103159272675,55.337691883304025,61.195792318436695,59.89930220527813,58.43805978304637,62.411951176145166,63.87970125737203,66.55727852104324,67.242537653363,70.95747396963657,68.65787213249915,65.86252654686331,71.22064631284333,71.61757216967588,71.94871127612271,71.3177639543731,65.95062808796087,67.72002358509297,69.8100181229909,66.43033232661439,63.979436926168226,67.41583582223745,70.17135276694246,65.4458224329681,63.374677190200465,59.609720602307135,62.03483041275279,62.21004964328665,58.35885495588189,54.97121600113852,50.830667907390264,48.61008289129609,44.293851058777655,44.42147307954215,44.4010139025269,45.05555994855456,49.98464730822719,48.48732985468286,52.64489345827091,54.66327549973929,54.93856632139749,56.39810384219028,59.802097839957774,57.99747161919563,60.2106637841173,57.50150975220598,60.850019726364266,59.00380052714658,55.53913336492379,56.43067537996842,54.16905696286706,53.679760734925964,52.331852942508505,49.74754576514227,49.6181675267215,45.724929055928996,43.061362464255964,40.42966342389786,37.48176073449529,35.76383233496261,38.425279590759565,37.19407943899385,36.31507118463685,42.11029816889215,43.084997989018994,47.27537358172236,47.600767945333956,53.4683034912102,50.51022430895259,52.99147363005012,54.851599055613825,51.5777576651059,48.921178861313415,45.68250398040966,46.40081477626239,42.17527428078639,44.89450059603384,42.81903497152664,45.28479766249161,46.624291522937696,49.71762803875694,50.242635182877756,46.34214550098566,44.59985265416405,42.09889931681279,43.83971500299523,42.37764289408485,40.40466501648528,45.086295833375374,43.23930109154654,47.42804441512591,49.94638134400799,53.18106797149787,55.445110390759154,58.27967954169833,60.37120046987971,58.572804727432526,57.40956635751935,53.52815567818459,53.44715581421592,52.46391617061473,51.676685745996664,52.30588966431574,54.958912769754356,57.79953156832958,54.431824228623086,52.604126045168016,54.19520451544171,50.31390897169936,48.81753717947025,46.00633320285375,45.55896201312674,41.16475325594355,41.323429669029636,36.57758474055683,38.16680756560844,32.61815395213637,33.41731181067319,37.724524213390765,38.98687378891825,42.148704524450785,43.74134970208465,47.28515201967064,50.505625045886184,51.35809704838082,53.77242732916507,56.40168251133826,59.316611604171555,60.23993287783756,62.348724205034,65.71715780150511,63.71765882507802,60.28817561275041,59.11172043162868,56.271504546608256,56.978538333947235,56.25747044953342,54.70483341812351,53.17980549067111,49.9578719645565,53.40643198920431,56.39716210053819,57.38649583285729,59.902616713811256,55.49583735557245,61.17269011437215,64.59937978542577,62.64090811355321,64.50934578737545,62.57622685566344,67.85582634836896,67.85111513425126,69.23253694796672,71.07914900689637,67.59497825230711,67.45124096251315,64.9544164065886,64.91112948140942,64.97794417832775,60.62087520738107,60.40220025262517,57.660186532931,54.30665994203836,55.869066336122025,52.165613908605074,50.10123879084529,52.30612639109819,52.07749833541635,47.43681087201199,48.19349957687606,50.12710246473335,47.56845596146462,43.87039529059947,45.77214980397344,45.83995590902927,41.4198368307014,41.49361658429515,44.761962169174154,47.343478937783296,48.87775716182608,54.037367265585836,53.24009418066791,53.869666235652836,58.993502685534466,59.826751152922995,63.39220791810588,62.75891667498315,62.31009672123887,64.12003101804316,61.82630717799752,66.87990013181211,66.59222540692414,61.77145121880921,64.15253217340825,68.79961095980633,65.8549949631732,63.80897425402298,67.33477795809021,68.87592968031403,64.96356429271373,64.1502230212739,59.79502823711176,59.821245221702334,61.545701033456616,58.78099013615207,58.57203028911213,58.33418623926491,55.44502081648075,54.67662215963798,53.93988917275832,51.544768308578014,49.04667722006809,49.41660846983307,47.59082918518345,44.42712360176873,44.65358838708859,47.75042193304203,44.85937999429801,41.207209589497516,45.31260410013579,48.11308167034497,50.093384457937034,52.98493419613167,53.46934224449478,57.79777794911115,56.26769522482367,53.03055967198392,57.31935321425042,59.3125167034019,56.79990980532274,57.36383467410435,62.81544107896327,62.09830818275971,58.44323849920288,61.590303106642196,65.6653308744172,64.20855512319031,61.31550567431219,57.00578213816306,61.23669411508622,57.51908986538928,55.63359809521559,51.56381347737186,50.29897706028566,45.62590543173683,47.741178355958674,50.26628578780727,54.09856168935409,54.69466229017117,54.06188681267563,50.308537738100235,52.07763264512616,48.03788486978993,45.18733963290389,45.50641052971738,45.16312255568317,41.87759029916547,41.591680151324084,41.35551683704044,38.52786578505222,36.64997467431187,37.15693942831691,37.027528443671486,34.16205808131934,32.49986624941144,31.123552502391192,31.62585512821996],[30.50328395634767,33.39996304692225,37.27645898486453,36.43348023168665,40.35440853745809,34.19036912994231,35.453771766455404,34.722344954470316,31.776445296523555,34.69430529268865,33.29613845092506,33.12414129038918,38.09058404187964,36.331918118640814,37.66474162539882,40.24299806312971,42.61615064050481,45.64692664817884,49.40246920370281,52.162464980121634,55.36728371140838,59.41133122076073,60.688492926759906,61.34461202328606,58.8266853596713,54.48349518657925,53.16111241896235,48.92855369796978,47.18447202978294,44.9765175905277,43.82375897653909,43.46627804449744,43.60657242724886,47.737601719956864,48.56786860892069,49.221263058913664,48.875721755168435,52.552810803997566,54.29644801950211,60.17071613179366,58.74185450798541,57.64225976605435,61.73166541081466,62.96155854739697,65.52502979764456,65.94897129504632,69.76946328615432,67.67943232076624,64.63414342659189,69.89979529759539,70.57991350878657,70.86799302990092,70.49158721946098,65.02752794793098,67.04808982568235,69.24734983005632,65.8673283009047,63.54779907778574,67.17635666716677,69.86619549227497,65.17184358918607,63.42724542795575,59.76940397862989,62.246273160844105,62.10655711653522,58.159243903107516,54.871361058138,50.714151465727745,48.44917212278144,44.200453420657,44.259705290106155,44.56013203490983,45.35244356904237,50.2804543249828,48.7159196558778,53.243855979179045,54.85770243471374,55.35815351861613,56.48908419977658,59.66658884076989,57.641077292258736,59.52433083799198,56.652990645813865,59.7288137587878,57.816185204587896,54.58493933867558,55.77833123745776,53.69393518397033,53.42751027663723,52.494750947021316,49.98142224198063,50.27538353314161,46.283269414522195,43.48932530940898,40.472726979856276,37.828187605802775,35.66235735278258,38.23721057710914,36.61855414901916,35.61529817792197,41.43063264481539,41.885588225472915,46.21647218643472,46.03946071506532,51.74058927475999,48.467164459238184,50.77028398253944,52.4068532535499,48.928441557366014,46.49830124619947,43.133815321231204,44.1782197457813,40.02412964383788,42.844383594642764,41.16202606389136,43.552976226542604,45.24828159399357,48.24809607862742,49.283307496551906,45.469603727302335,43.54114940967704,40.82674555316224,42.16149877096194,40.47886513470771,38.264587987563736,42.7456146586967,40.58139301409218,44.938141822846234,47.366038706455996,50.82988317448317,52.75165817942205,55.6407939244432,57.87611630625713,56.32422574669713,55.04037524951705,51.25055419576693,50.81304286483014,50.09612195537217,49.43508984973786,50.303552768505064,53.08056879485608,56.21328635717458,53.032248044343675,51.030550654071725,52.78500313272667,49.03501532991026,47.29850991981232,44.49458722495716,43.840733249782375,39.375857604162086,39.35515407393398,34.77915639736313,36.48166895892924,30.96948512553406,32.25388480359694,36.517710136630406,37.730540747415475,40.60006655578014,42.453038073470445,45.54370787147208,48.721535893824516,49.97846612421847,52.094596523920025,54.94797241968346,57.55083429733325,58.24857133062636,60.2093570242409,63.49586870739337,61.271752317286925,57.93051449660958,56.761384889373446,54.13371066592396,55.03899347951461,54.51296613597007,53.19447936647181,51.73900087852035,48.7825152564243,52.33631991303918,55.17277478204934,55.99200694434666,58.310092836852604,53.62356525483507,59.20411861927675,62.602225588917804,60.66656352095478,62.86825862673649,61.14731621666964,66.37903677329129,66.2282697950393,67.43036873638988,69.0812065859442,65.58639639580883,65.18253838026283,62.54792225156882,62.357109215594406,62.209420857361756,57.770998961136975,57.468954262427005,54.526414332890276,51.31647124674674,52.65851566126254,49.07353772570975,47.01359777626737,48.9247864231531,48.65683161575285,44.061301516828934,44.64847553675789,46.45374588508568,43.97003864649645,40.19151618461847,41.921705808611016,41.92375236926277,37.57739194447794,37.54615906482151,40.65004613399863,43.304522954378314,44.772735405176185,49.975867166025814,49.30229620967389,49.88979400043734,55.066049322491594,55.836938417819844,59.503883688732,59.04820379323614,58.724114593739216,60.69219238643987,58.58015130165005,63.617864393985286,63.11758507471647,58.359640208314374,60.92801507967365,65.44483930574513,62.39579347088383,60.50702006474858,64.1576025478852,65.47169749555661,61.50422632239946,60.99869347795982,56.50968329092455,56.851406062925946,58.52777013217851,55.65280511153001,55.66505094949178,55.40794260484363,52.72989177888079,51.74622968075302,50.83102346628662,48.67663042851973,46.160924258525725,46.20320761519345,44.39331005553206,41.26638622239917,41.25372312040823,44.26347756916558,41.403348334230095,37.62692898908648,41.559633820655634,44.37602671394455,46.33462158737364,49.37911075311244,50.033215775192176,54.31066812694645,52.55127780082749,49.35947263914811,53.785852105153204,55.587466287897904,53.00484068167763,53.74794799972061,59.14670785414137,58.23677768153436,54.66055853116802,57.97292042222372,61.90862298194233,60.32564284391708,57.487666955479185,53.184930608056376,57.3090699276687,53.5992320246782,51.575916076906694,47.624636760474395,46.455653720509304,41.85286475535747,43.93859748688231,46.57520014375697,50.38976611172755,51.14264621465857,50.52687848727501,47.020136374988354,48.985076501045654,45.10224999707676,42.03792425635003,42.60553903558653,42.1292275466713,39.14723253931926,38.67362282160429,38.06755094999491,35.38974494244121,33.80667940876664,33.828193279353364,33.49727617459111,30.841716740520386,29.419080069627675,28.31100001585976,29.087743053522768],[28.033136002990236,30.677065401938563,34.386204184908834,33.02061572092508,36.90136231019413,30.80551686790757,31.84724792517125,31.34951212616832,28.092127339112476,30.757167822094775,29.39087264678276,29.57662857244051,34.29722644820261,32.25243635202024,33.78613293317578,36.482755355362926,38.618646141467096,41.64690620891824,45.23542449713525,48.12653648346403,51.25424292182259,55.35137840564365,56.51618137900149,57.08554360507841,54.63127578947684,50.25334702507828,49.03615780412292,44.83240506796166,43.251725104438876,41.25972258445775,40.152131167547346,40.054821307858376,40.419284341932915,44.48056780192949,45.15327524856981,45.54344684538516,45.361931322727955,48.74867023124439,50.412523237112566,56.405291033548565,54.736180739508846,53.62132234579861,57.7720376455442,58.99238847431236,61.459201734604726,61.90758995683953,65.73727647048429,63.72267193942964,60.73667144664763,66.03776254939245,66.79796627064556,67.21107142145706,66.85276842758107,61.375369023951926,63.507031456259405,65.58632585016743,62.098969978505856,59.925622481049,63.62541776484964,66.1426090112543,61.35552494026047,59.703994645873536,56.122896936222055,58.426859870064064,58.19898272223121,54.299742500880654,50.85547399503596,46.78009403480025,44.333961935130255,40.159091159256306,40.08023568496275,40.407679195486516,41.38407624778011,46.31506517112767,44.91430705502273,49.64371251202623,51.19059112691455,51.94119129467475,53.00278927978051,56.1124273513351,54.21942564056877,56.01236189399722,53.33253334888603,56.29276846606939,54.18433708441493,51.0151975636715,52.08887444424738,50.26335634534936,49.77034030222006,49.149180273910325,46.46444451434485,46.863450840626896,42.8671280162196,40.18066179260129,36.96508619996235,34.40533712197214,32.002488219833616,34.95226909013662,33.37416796111716,32.87994872704447,38.39004437896954,39.083744287876534,43.12677560294306,43.08986961717507,48.70521790089147,45.37916459106485,47.93551049486137,49.43930563638495,45.946375130453774,43.581208277696945,40.015343723085195,40.756770205381834,36.449822614146555,39.02970152327411,37.1693475287155,39.42048104763286,41.070632984993196,43.95508086552876,44.965671453257215,41.25981318076571,39.22901872433172,36.5641813912063,37.85393136845476,36.297307782839034,34.25603013869958,38.87645279623983,37.09604547913711,41.402745912124,44.00333111492221,47.53421107352249,49.43805618857807,52.50818169645066,54.519694297991286,53.06412522519841,51.51276313447435,47.60557751980476,47.167773572026896,46.19648962855433,45.36359610427122,46.268843954290354,48.846177201116284,51.954486363497914,48.810178328432535,46.898413922890654,48.743658945059146,45.089231810547254,43.32664100423208,40.703264942473844,40.24891705403337,35.835917776530366,36.180522890538,31.693003858212773,33.89262494980611,28.65849368183656,29.6288450566956,33.721761299584855,34.54364394377794,37.53282791495918,39.08822129187055,42.23177386878573,45.09714721422635,46.25738911671754,48.179172395913795,51.1335297970346,53.71934398502607,54.25598435115845,56.38760111264766,59.59803182476836,57.45872381694389,54.018701694152064,52.96996514506103,50.264511975906984,51.316882620740095,50.899066706521694,49.66667839308893,48.43528876322982,45.38097817166718,49.205819852077916,51.79288258266202,52.74636501324603,54.833711603386455,50.279710199168285,55.85732989674162,59.18811934923107,57.10626220954796,59.191816059592384,57.34810336777878,62.597036210357345,62.27624944372017,63.63082884962196,65.30751753154436,61.9023421012092,61.57100314554175,59.01108396319741,58.94754582584618,58.91776934034853,54.44481768707403,54.3798735136192,51.54275039492056,48.411756604642584,50.06945445275683,46.589643385137364,44.26011316023553,46.26565671129961,46.34915142718636,41.64950832453881,41.92312326217886,44.11427769647696,42.00838112163602,37.852191515622216,39.65688367543799,40.051431926019234,35.64615987718589,35.29533180991489,38.725057773867896,41.12386720265582,43.11545727838729,47.81084016057973,47.19130381036977,48.121322032060796,53.321234783722346,54.46711755955733,57.92907448648158,57.52457816887806,56.954821104402136,58.92591007644549,56.631178296249644,61.61622604959178,61.12985114077516,56.10636678605523,58.61887251461117,63.11486747536124,59.949474127516524,57.905670416100804,61.47221984220734,62.763152939791034,58.74761981921125,57.99771694021292,53.71433398680655,54.09857812052415,56.004578938621506,53.404860591807626,53.53623669968781,53.650940862420335,50.76821479281908,49.54091010117189,49.058947674922806,47.02120455408545,44.12949164797532,44.2413685696221,42.84759464044496,39.69338771466807,39.4280879793451,42.831844970126205,40.239568770688294,36.22219701414396,40.1458243381276,43.23460840218409,44.89047735805969,47.93511123912632,48.31068308741784,52.64391771175198,50.99281287613141,47.40640478140014,51.764753262081996,53.662268797565225,50.9786854496772,51.388100240280515,56.9619290617132,56.073749378783724,52.210059742788715,55.38788682916878,59.520567430459344,57.91220815515348,54.890119543228806,50.48452593158306,54.662981584305705,50.83316646943333,49.154790487935784,44.93999529047868,43.84416053039211,39.116196507301375,41.0012172591132,43.56105089199894,47.3693416823164,48.04278861817216,47.64256555861887,43.8980913599659,45.90592867801584,41.80541255870873,39.05361595359683,39.88241005071871,39.75414921630407,36.70249928008109,35.850607773962984,35.602203474059166,33.19654009383655,31.022402547789557,31.04819562258323,31.324942506035192,28.907381575318308,27.26915631345453,26.152017128415494,26.860290789137775],[27.514110847877753,29.912523719031952,33.0297630976711,32.095707145944516,35.19182730533485,28.634633787212373,29.311079005442203,28.00740456475458,24.973592454228196,27.81697522503791,26.113737869066014,25.539688085741325,30.747865385370748,29.37211291238354,30.297262394773593,32.7146011852369,35.425058841589184,38.41280754600352,42.48652721036047,44.956386263691236,48.31534943638417,52.2331930706025,53.74647596488631,54.593708728010384,51.919691681342755,47.67547893860171,46.16318451665849,41.91665227809228,39.85830844648327,37.415955606733746,36.22904454150776,35.64164280850312,35.69843204610695,39.89908790301263,40.73658261252263,41.57376661334965,41.125999090802026,45.05693332926241,46.955677787457574,52.696816957074354,51.59777478569897,50.408972917526825,54.38899870341974,55.68887395558052,58.43971830133705,58.95022023957695,62.71789065468007,60.42179700851563,57.398353626359004,62.69245741368237,63.155221171551865,63.36128846861207,62.87852041117167,57.457890206528276,59.33829689593062,61.57770150935604,58.294155801898995,55.852244333260984,59.41486036098042,62.23661762588342,57.645896465081776,55.87506745295843,52.183180185302106,54.90182938373361,54.75044156026283,50.71783775471724,47.740642076047415,43.44868364648973,41.565788101007605,37.21209116635717,37.602558981409814,38.16979828448222,38.51013750022875,43.3787307644618,41.432802676154466,45.901670204248305,47.32831683202505,47.687808395531455,48.741378210009096,51.91438595859747,49.79670047270106,51.769145317729276,48.8619173793092,52.09281159174116,50.31602960570168,46.94372403827105,48.14147065446077,45.86592297709906,45.76014642971292,44.68048613129593,42.334982952426174,42.77743964688413,38.74716408329665,35.80064275692653,32.796722907582485,30.23712315810352,28.131189175114837,30.36612564167988,28.741377262991158,27.705117130718634,33.525298000245094,34.19967975974017,38.45987499059088,38.5900908820783,44.429911211900105,41.46355106316495,43.96802309102371,45.87717167726693,42.701482086923676,39.9489979701768,36.79074120898612,37.4843119531622,33.34428868035355,36.2510303324839,34.38575675517469,37.08703831827505,38.568134219093835,41.914411256745176,42.77299819135352,38.66750448918334,37.068779841860064,34.31398381990246,36.106180642549624,34.335803524540694,32.10067775124978,36.64570199983821,34.61433550914863,38.69764641947993,41.14863451011949,44.2385697197457,46.68756585180798,49.411990355280004,51.5042482806138,49.584348068952025,48.58840545047856,44.76770828172461,44.91420253026231,44.070753750368866,43.52655037611737,43.95165516510222,47.00805928664178,49.86457420952877,46.44145917989019,44.38791184334917,45.85174286379642,41.89317897020994,40.35621844331039,37.34233451373554,36.69741841012979,32.27298276959094,32.28869406029509,27.527964062767108,29.173405641014348,23.720014995354102,24.552771006051366,28.82470198590901,30.08616331622938,33.13828886352815,34.88075584040938,38.28785690284839,41.65504775921218,42.66149525576851,45.200414009164696,47.75864453347332,50.636045843357465,51.79053348127597,53.70163673472946,57.19625588295883,55.212539627376785,51.87952144779185,50.524797666224536,47.694248399985696,48.19781629843501,47.397566084877305,45.837468584338154,44.244559384319295,41.159458050961085,44.593820015908285,47.569122294005474,48.45475426499136,50.99163687653817,46.49661668553478,52.17296512965758,55.62437398674155,53.738056212859256,55.69866281980501,53.92138632733082,59.16897682496017,59.33095915758478,60.520158087563885,62.35200022892428,58.795191314478075,58.64613339233485,56.15057183796165,56.102875024100626,56.249215546024914,51.98857618805323,51.73431543687304,49.166525002639226,45.661039549629336,47.42687600250061,43.63534318198239,41.54703872279819,44.083520968091506,43.94036390686832,39.24292071001547,40.27640690562144,42.38636822768926,39.819630887335215,36.19158080112172,38.44882006623108,38.73095041643244,34.17347733138027,34.49054810010601,38.210978811079045,40.54020389256454,42.32110896503126,47.243667406956206,46.0724606122253,46.88708048943128,51.874682118937685,53.10464247197904,56.28492779531404,55.37915804775102,54.58788959019276,56.20383634428032,53.62343001704318,58.656672250615685,58.59914212092988,53.60950466551643,55.76752430534097,60.53545532996621,57.70401711547681,55.450982223309815,58.83209903268018,60.645482693876126,56.826684842331346,55.66656805170442,51.43357333536699,51.14010909785782,52.92977453300063,50.33771686180634,50.02459134660083,50.02089249512878,46.89447948450186,46.11234371058844,45.746273615634095,43.28175674012066,40.550326612667405,41.20434122085663,39.647086869118596,36.44149157896444,36.73056370916724,40.190650026429964,37.515669596684155,33.83001321777302,38.155453878917065,41.14884755070206,42.89270656839667,45.54418445265674,45.61693214752084,50.02880211351646,48.88883084542492,45.36859772425479,49.40988599411937,51.72546812881064,49.310710865091096,49.4819491805984,55.033227922213285,54.692477722318515,50.88407469916184,53.69915486962288,58.00751818880701,56.862055546539345,53.9084063313289,49.6814966374141,54.22375940670139,50.69001303060446,48.975522070553815,44.71402773964704,43.02514158143863,38.276189254018504,40.72158766645631,42.925421389578574,46.80723302161187,47.0220742450111,46.158507755989945,42.128950785858464,43.59085542068299,39.51455841314666,36.76682650610061,36.8061191614261,36.63244957405606,33.13335892422572,32.926959958414926,33.08269895069709,30.18515993510046,27.958765548231398,28.989067722616035,29.189676209305418,26.16979421667582,24.18642196900015,22.630934589508175,23.04969813523918],[26.82145083832356,28.806775787998188,31.562339646848773,29.956657057741168,32.818550651063475,26.33539914024471,26.52288032759278,25.371400633705644,21.820675839291194,24.16942452841679,22.286756964253055,22.110744708439352,27.080684810174606,25.33042110660788,26.26960183195698,28.87692430233218,31.43202259726587,34.29588777731773,38.198908313284306,40.837997121697335,44.07675409678945,48.07718204651258,49.46359729609758,50.29546141669105,47.727419580560664,43.43854089549768,42.10016662837198,37.89793722920431,35.92702111642613,33.727226397554645,32.34043389967752,32.18782275398345,32.37210514242782,36.42552686460842,37.20832071869217,37.791320884002566,37.64679278019916,41.288202422042346,43.18856417176639,49.07525381897354,47.744796267313696,46.404309322799136,50.422959874425764,51.795454651599535,54.48276736323222,55.11419540340657,58.8584723565548,56.57143089316467,53.70066314339572,59.072565282939074,59.52966317725407,59.895124177974964,59.34671934266374,53.93551288748479,55.86489717986626,57.93193925000824,54.51637890343433,52.19499162420512,55.78752266251009,58.43673655689904,53.71784812903554,51.942949281107936,48.2944323147818,50.807207774848706,50.65448429536052,46.69305532739682,43.49672575660767,39.28099788367907,37.20449776392405,32.88595929275558,33.15918435790525,33.67415555201562,34.1581188324412,39.05186384878346,37.29757275811965,41.911761499793876,43.38774117494688,43.975008741051134,45.05520769064959,48.23262077058462,46.34303603985607,48.32595725971907,45.70342041166205,48.89793087486402,46.90812627151642,43.51778272132586,44.464864131950286,42.43319624143134,41.973647325089374,41.12830365149231,38.539075157821294,38.97765979401963,34.95422557340198,32.165454905729156,29.020469314132022,26.44620694633234,24.174243799580438,26.947453060915606,25.52324588601922,25.23539493240635,30.63525380345943,31.831717531770025,35.65836233246219,36.16460650750933,41.948473527951215,39.04994781509739,41.921225572594686,43.745892231807474,40.648795128448896,37.90286237867891,34.56987728105829,34.75029763242237,30.404675136397966,32.97026004951489,30.714167184444417,33.29839134286799,34.575512508739195,37.849525775427,38.48107688071204,34.43703135218992,32.80218389042115,30.17505376527422,32.114012711693825,30.575727833995433,28.65223676563357,33.43983319947922,32.01549336864449,35.9401144650072,38.623263025043464,41.68552711544417,44.241710958535954,47.145762087200524,48.91451455006847,47.01842908831539,45.75739094779833,41.77008242102001,42.070218277315774,40.82351573110062,40.035779210988785,40.39180753055462,43.18140600335817,45.89271155773666,42.42941253546034,40.54020416244497,42.04152661070397,38.131449710252774,36.65939223598576,33.84945504136778,33.535772797707985,29.207855975087323,29.76905107664184,25.06881882769352,27.312635877314587,22.28846671417821,22.451064226858453,26.484466829301475,27.2398359496711,30.57190555175061,31.81945715301767,35.48119523264991,38.48127807859804,39.20801823950413,41.64076216649832,44.23087056752302,47.21051140100664,48.27160864181158,50.433013722328745,53.871476250639695,52.07325507560788,48.59980033056765,47.37902302990264,44.37539802993704,44.96779441068,44.21859942826726,42.67082435559693,41.32376373714494,38.01387236822422,41.74766692255346,44.47415525674978,45.58616662286354,47.917236593460174,43.69231125292214,49.39520035719401,52.774374489489965,50.709516663370735,52.41101875354048,50.40932323139734,55.70002403582566,55.71786047919396,57.14980832127418,59.08223468108722,55.634916329939564,55.664830590145435,53.30958608435199,53.46262068087162,53.82513885651242,49.5663539395695,49.619298236333684,47.261534380676416,43.81492272516931,46.01590138707516,42.33329274658514,39.9454893368506,42.681563539620875,42.95660989536082,38.17254644829199,38.90023639761504,41.472310276616454,39.337086785138546,35.36042430704835,37.73181818638519,38.46693906791823,33.89533322408537,33.892300664600874,37.95909085207117,39.95220905507305,42.299061148749345,46.600953529748935,45.4619980130902,46.656011582511674,51.60838709182646,53.251189596792514,56.15824506426035,55.26794413126702,54.17610235713918,55.73749317717472,52.91305093424849,57.862666862357955,57.88569058919199,52.6083815330442,54.62858018137944,59.38960292983539,56.47581612710244,54.00738494104014,57.237047136877386,59.09155445817378,55.254408014702534,53.715854052312565,49.78633688850951,49.43031575588358,51.49301076580409,49.27110848016593,49.02383618719038,49.45472140241784,46.04634267546409,45.058970950371844,45.25574640926153,42.87110090140604,39.73566086615024,40.57604622336958,39.510695923065924,36.30707815495427,36.380296107242366,40.26544551869225,37.91785351460953,34.06441021958413,38.35692968890563,41.59985465452584,42.996959538457624,45.575587303335276,45.28693191158544,49.736676975205945,48.792728241151295,44.85554429200328,48.74039453204934,51.20367727732253,48.71852155065954,48.458215375280574,54.18145469580699,53.92704411417838,49.80526234478367,52.39439138008862,56.94080937281585,55.815201768342,52.659699221065395,48.349371198468795,52.952862201905766,49.314774593477765,48.03670690190006,43.491401393650335,41.86283091356196,37.00757188203874,39.21736001652689,41.26203726136023,45.10692778566705,45.166664415293724,44.543126267541815,40.176397977191236,41.59606752540428,37.22945394782055,34.96684836884828,35.211786907195126,35.508524638998296,31.84942759731606,31.263079020551743,32.00179188011651,29.418074331889713,26.378026939119092,27.625797445454847,28.626365021373747,25.877417574392872,23.593290337885986,21.96161991670729,22.14359849263262],[25.8671623441356,27.622159238772184,29.835483900003165,28.82612310974084,30.974051666638154,24.214629663924235,24.215074830054174,22.303935331507684,19.250363047772215,21.977683162202478,19.998300814265065,18.933433220052176,24.366458884203045,23.491845222906704,24.01599070285454,26.201372470641452,29.225773766480067,32.21443266388823,36.60904039186586,38.740848517050104,42.27120330601454,46.03337437784217,47.78801941488199,48.78609997038559,45.938238931218635,41.81886637829144,40.08330624396418,35.83644070913853,33.493147142713894,30.806441052142233,29.73195940946292,28.821298986455474,28.897491331135328,33.21092902064679,33.95565799320481,34.94157897518645,34.33295525261509,38.491963533979025,40.504466035049454,46.098764940720365,45.31308433672397,44.09921188373645,47.97381407987054,49.30249514568071,52.21463362832688,52.767892717290565,56.489766743815636,54.029383428507586,50.99478012378799,56.29324958092294,56.59038917573656,56.71511013340328,56.17165164724593,50.77992573077358,52.55609417641786,54.84643517234047,51.662187229681386,49.12770995979471,52.65990583593181,55.594936598825456,51.11698411784678,49.38831098307521,45.69752359151616,48.66287507932053,48.434712758960536,44.30546172238025,41.68822632620897,37.27611945536549,35.812919247623626,31.409629304607662,32.15272920429312,33.082567928477815,32.94887306483175,37.69230137206456,35.33655807892603,39.80519946552287,40.92858609190649,41.19909846471431,42.09315271774244,45.2043364022442,42.95795993828312,44.955451440064316,41.99739347617957,45.334531700795694,43.67641669962908,40.20393747588111,41.45132177378798,39.02429756476189,39.12286723967934,37.99463036352369,35.843692538990126,36.551202712886806,32.4814075638371,29.35385103944172,26.276652203312757,23.928760826018973,21.793733870449593,23.57363705838722,21.857283634848734,20.81613863851441,26.599290832805593,27.469579651286693,31.627922063439954,32.04010966727763,37.97453725996301,35.30748756197696,38.01500464520208,40.155833430472526,37.30125631830849,34.269533388197445,31.340521836696343,31.649953266136553,27.57558726977766,30.540416392146742,28.54458300923695,31.545665204035174,32.827123671959015,36.49895530947918,37.24682099673968,32.884403153587776,31.64119543888261,28.84504251180998,31.04779086363066,29.179726456521323,26.93621230026575,31.437822628968128,29.57185321346567,33.30447410044358,35.75005512803226,38.44509308060455,41.376586473709594,43.93101974671035,45.860318592089435,43.6145511952854,42.88566663117443,39.065606225093376,39.7778994775673,38.83025933880609,38.425536254945406,38.41577648318108,41.74757113946365,44.333645897078576,40.71887387772886,38.59992417876652,39.77118769796889,35.63607492092221,34.287761987760845,31.069997403871632,30.419273255234103,26.073300299793228,26.14162588404855,21.248540737223223,22.88633907543337,17.649047881543666,17.885256767424693,22.10490480045603,23.363500040861766,26.58844936170469,28.20289390992457,31.892629988796486,35.41815239839608,36.202407963530554,39.12782679999731,41.39948852554475,44.50273022807892,46.083163501923856,47.91859186039385,51.588627055859114,49.833243960957425,46.53900816323856,45.01498589848234,42.020031830673496,42.136356590123405,41.0851566977261,39.315708065921605,37.608625761159956,34.42376524910786,37.765578684915496,40.83671088028126,41.776543243590446,44.48562964331299,40.17950182660124,45.91937957843312,49.403464525989826,47.56689956322957,49.315312354490935,47.50851851584568,52.75257482264966,53.18688347297794,54.344277442946826,56.32432746385814,52.721989085641546,52.804734418300676,50.44771366918849,50.53353592849463,50.95590580088367,46.888926936041784,46.69790728415953,44.51908330833126,40.78381718396207,42.960286398232334,39.04113755505952,36.92942039502884,40.03382097210675,40.049759901228754,35.34084150229401,36.751518943317436,39.13789215686353,36.599918942688355,33.17543997647629,35.87060625087146,36.44652539679877,31.84463880641459,32.44623011021171,36.62619543420026,38.56390194839003,40.62998886282264,45.13019459357998,43.53927344441744,44.579623038191436,49.306972077137544,50.9683314710953,53.64646134534599,52.36379321184019,51.1319627608465,52.41468996275252,49.41578226792868,54.384510377977676,54.72400066446265,49.54799535215674,51.300803429253925,56.24608562070774,53.62582898629341,51.04867668515664,54.14763677755262,56.393096501836226,52.74253775952259,50.97460694445331,47.039560512607316,46.160922556712414,48.0642645235088,45.79899015587692,45.20687792004062,45.501510002045976,41.961912566039445,41.33623351942769,41.55915546561994,38.86806160561848,35.91072936041914,37.14904376628015,35.937634393695554,32.735256603982826,33.2616325500677,37.11570232443765,34.73582705076854,31.22183647716694,35.7575063334,38.86642546637444,40.32296013332988,42.55968864327127,42.05667635410308,46.524284223490454,45.97693993049237,42.17176291880947,45.777911677693474,48.53636811784275,46.30166595901955,45.91045371055037,51.53870475239595,51.71810208677945,47.73195474096534,50.0385746920938,54.64982565734418,53.90971046647521,50.87803487562777,46.781212652111044,51.63412793265386,48.31187057228894,46.92720825308027,42.461325715746035,40.3343494433017,35.57019804581285,38.27955094512984,40.012306269404476,43.87196269013086,43.57439032160567,42.50359383486619,38.032442757749386,38.98220462741341,34.77075292623907,32.42158690403677,31.95073849738972,32.12983837471472,28.171825110590262,28.20224703512181,29.18251070359685,26.197301113874868,23.27744137573464,25.363170500434645,26.173115557898882,22.968420912155363,20.47570420997064,18.514521179799946,18.42741086558605],[26.92386868789052,28.174649871084124,29.847722574787767,28.185396421304475,29.84521845476768,23.256808724360546,22.510706078527967,20.580837582506053,16.951004762784283,18.895513339086044,16.458744973019915,15.645323149689053,20.909911925503554,19.74509693911857,19.929051848294637,22.299259363299907,25.364875717482054,28.095557728265206,32.40278570931586,34.64550372510806,38.05640750036899,41.884556829054524,43.559600375699084,44.642174406416885,41.905036572307644,37.77049367883634,36.2165928512351,32.036993567298964,29.628287530793948,27.126089271843256,25.603996552972205,25.195682172011974,25.24309576445154,29.36808498512711,30.18354706900653,31.010805153406743,30.782049382197073,34.74758248896413,36.87076327120332,42.57519793215556,41.666045866581186,40.17887025595665,44.03690331330215,45.51237620437221,48.427431753605426,49.186120366177185,52.839399694380695,50.29714297401235,47.490587161256435,52.885939628802475,53.06120057679703,53.33961661179855,52.64451895481431,47.29648380976713,49.03282589659426,51.136245217326575,47.83444315862257,45.35651981435117,48.8595463258922,51.67116011864097,47.07361202577951,45.244939869985714,41.54947522639015,44.35839292793168,44.20975496735589,40.14974820370772,37.35192135063258,32.974858284143416,31.42785903494153,27.000565355169197,27.74809239330319,28.609348177266124,28.44333340496475,33.208567724811004,30.954430396780552,35.46945691768995,36.71379802354373,37.119266064892486,38.11920794390216,41.30832394968286,39.33101232843593,41.455218849407316,38.82522176180263,42.2332302417815,40.41015372559429,36.82332605996952,37.727870199640385,35.45113825923608,35.156391431429206,34.10709632441392,31.714989059952142,32.33713096668709,28.27061165645446,25.285319059535894,22.15763205757772,19.702244402916886,17.5337448342066,19.852664557299498,18.505146445834686,18.397316126178055,23.651924753443645,25.33003482312699,28.92371367971894,29.96006270936927,35.8638029675455,33.44202031946495,36.57080110914807,38.71032974665841,36.07547347269891,32.979228104883674,30.00260104714199,29.623733490515693,25.388832248769713,27.942950645483464,25.393562677948687,28.35082183384136,29.247846669533633,32.939578100934696,33.265634075552974,28.870986562390865,27.747890017504858,25.15849989778067,27.745202048953406,26.18093284869996,24.36724978603193,29.103421665343763,27.998354096503473,31.40149491267694,34.06971625715333,36.57042935818507,39.75802155429588,42.41781781593599,43.95802736497746,41.625218241476105,40.72602993907338,36.746829404869814,37.80793270686095,36.38091815067185,35.732723360080044,35.49139944618051,38.56216340877205,40.859475872890904,37.11225360815947,35.20428408276927,36.29524312639492,32.13324679208829,30.979906787856113,27.93596088694664,27.706529377815436,23.550127150079323,24.268142862060596,19.45178136149301,21.648298319931673,17.108540155264322,16.22436035262989,20.076162235690308,20.77135520066196,24.418540377740356,25.36110718280393,29.51620459792299,32.68890270834353,33.003024478656165,35.992961401624136,38.15939768741077,41.49780832075338,43.12841927436846,45.23029807603737,48.88694391391784,47.41623097843991,43.986169026977635,42.56640249201271,39.32840687071627,39.39844808075096,38.29469951405739,36.427487630328315,34.92875730731906,31.41424641190936,34.99763858010216,37.88061270254467,39.11039704662879,41.7021902840943,37.8041497212201,43.58125597818682,46.99509223043762,44.99448343577636,46.34886476927557,44.25469022645206,49.54841587584461,49.94233206694976,51.378218861632966,53.532421958756736,50.04124340243114,50.40152030470414,48.25050264710418,48.58710458905545,49.308907943748586,45.32470566427311,45.45207764957483,43.59503376545575,39.88599094908099,42.55260902472152,38.73775297003407,36.374584593934465,39.76801731276972,40.19245524645125,35.46979264153361,36.66365376295833,39.48781016005624,37.36142784095696,33.734618847991854,36.55817869150532,37.55795885906543,33.01861102244997,33.37573044301113,37.839757730445186,39.410668180586235,41.96814124390618,45.83348687356087,44.22538619893226,45.61052658420221,50.221395025459735,52.27463631065945,54.62744769879301,53.29531653882194,51.740349890790185,52.89099975537254,49.613228990312564,54.45937684235495,54.963840241664045,49.54007494195232,51.059513333335495,56.013960133600115,53.3890119301662,50.56132065175058,53.43056603080012,55.80884506498194,52.20189479646817,49.94936777923856,46.40010736537832,45.31395795070332,47.477998413808365,45.64284401447237,45.02564226574045,45.751251083801385,41.893746931495585,41.16476226755375,42.01327837282102,39.34722549745631,36.04635061086364,37.58811241895188,36.87238132751278,33.7295493073971,34.13439552754287,38.34484941880544,36.31239355768462,32.77233593778092,37.23796571707424,40.511628230344826,41.6307632982916,43.702548164506325,42.79461985562771,47.25732237060178,46.99772053038234,42.837769260186846,46.183546166004994,49.1323737265464,46.89352656972584,46.02447905108441,51.76986001080917,52.120317106575875,47.86072650823222,49.84895143838504,54.69733207858575,54.05070675701468,50.848688947519015,46.73150158569928,51.64588471626835,48.283238816043266,47.35758611096779,42.65162553781952,40.54246863636609,35.74437736931033,38.23031373498479,39.719352273658174,43.49817518843948,42.966735855694736,42.09745603564571,37.25915788033521,38.03348587803828,33.54431735703199,31.81438799037108,31.404593512938757,32.10844832113958,27.948034012267872,27.70181544295029,29.416301687317063,26.75996782873384,23.00037126291797,25.499466783188943,27.127125980727193,24.22088563588046,21.457380685619327,19.41280096421664,18.94065688016919],[26.358928496669762,27.5626529989779,28.986868072710617,27.910222132138635,29.19283307396123,22.462488568074264,21.779599790339965,19.302766509811697,16.283042886289063,18.6936745532557,16.37371772363077,14.748562226042024,20.368850145573408,20.001556234618384,19.97450821793505,21.916005912307206,25.288304650271495,28.17266322003579,32.823434027497825,34.64893803722482,38.28703442311423,41.90547005918535,43.85474914881135,45.01224447867585,42.05813662246683,38.06968113664256,36.185498178956905,31.980961515411774,29.344703192279322,26.439988684146023,25.32836468562116,24.17268403898826,24.166955164363866,28.54327330235206,29.28276942288921,30.44540003775565,29.748581898777193,34.133361335323734,36.28909836714519,41.73603246143435,41.2456045424598,39.94465107671022,43.694868078205275,45.0829165254203,48.139012626468265,48.774407380363236,52.423603342195705,49.80037570263697,46.81640613876179,52.11813551829381,52.22615574103528,52.29436357501721,51.65533387434229,46.315174356388205,47.962236068138566,50.27394337896363,47.17271119797446,44.5393674817196,48.01064743982366,51.04959614445502,46.66414107754253,44.91764717380264,41.211631941940226,44.37509590929344,44.13568644372707,39.95052858828492,37.63603031357858,33.138464291309944,32.07074079663364,27.64634699401302,28.718881780358643,29.898781410373452,29.31410101320002,33.90909828806794,31.209101989077155,35.59301933728919,36.51696041349335,36.665751226688506,37.47789174958792,40.57650450858633,38.26050021306935,40.34077588839673,37.37648325772335,40.85489283082146,39.31649128466018,35.716733749240845,36.94450372756234,34.3499886366539,34.58766058396519,33.33417136799011,31.350765566582993,32.21843769036853,28.142623078115477,24.874805052876802,21.81999376762295,19.634328526593226,17.601387183835435,18.89528079196827,17.184608311367615,16.18600042076539,21.90437875319259,23.106297446401673,27.10559503075506,27.901186161630903,33.91953966649812,31.603171615325248,34.50092042629163,36.85814629963255,34.34791358653255,31.076437661285148,28.4190000969783,28.31160840573523,24.354211070074157,27.29057061032541,25.121174812252175,28.36091523249903,29.371197430020203,33.301121731864974,33.84718469194986,29.28420781903906,28.414591218848628,25.673284498487767,28.285983425745478,26.41571002983212,24.27289481280475,28.673994763768516,27.05805236924069,30.38170296135513,32.80470972375734,35.08340403820913,38.454167984595124,40.83488542519736,42.5854308689162,40.03985901735596,39.560281288169215,35.75916702640654,37.00447420614293,35.92864890428486,35.622609073666275,35.19602033553771,38.70196593907365,40.99126951867815,37.20399636072192,35.08087607381788,35.95761861863273,31.668474019210684,30.551914624181773,27.1793163323073,26.578688936692387,22.387236138499148,22.549713667175897,17.59079472917746,19.162352796552735,14.323000884545026,13.694353989855683,17.80068642948385,19.049509483466746,22.494899628164685,23.8998249185903,27.934799065804672,31.578970944343084,32.07131644121182,35.380480627770076,37.34436470966619,40.68591697714113,42.654476694418605,44.44657080482401,48.25345342181283,46.73322549446956,43.47776808127363,41.82647380097589,38.67860934262595,38.429107004136135,37.1314455054389,35.1406480134026,33.32728971577784,30.005447504763946,33.23345902106216,36.412241064388425,37.43433964538309,40.32015769310865,36.2563250925239,42.03883795779526,45.53921760926647,43.74599331804885,45.2458041619808,43.37722001833349,48.61297459527075,49.29977491508766,50.462932573501234,52.59382417020211,48.97191736696263,49.286439845134524,47.081351158474305,47.30065501719533,47.97862019596701,44.11502981760911,43.99049517818961,42.177763922228,38.28048003635922,40.79757204052732,36.81281582545647,34.71224806342176,38.26782863441775,38.416504180811245,33.77795861736197,35.476230643556164,38.04988417169212,35.57449991296875,32.3939734066017,35.37350375648067,36.16123260967137,31.63340628686606,32.43541956816508,36.857280412937,38.468530966852484,40.70942905834238,44.830260394586865,42.94506184165481,44.139766757932684,48.61049209870458,50.574429889230466,52.84910190068284,51.279302730249185,49.71413744861794,50.710431181540635,47.39235520477353,52.26790965314074,52.939368032179715,47.65868656589021,49.05294242026198,54.11450656860406,51.6907528258689,48.863075226641335,51.695758719045465,54.29201216991914,50.80814047026154,48.537094929175346,44.89604136648621,43.51369849441707,45.49879976257894,43.534526066338906,42.69187736883877,43.22378965727969,39.36118294616509,38.90492446902541,39.62568944595808,36.75643711555099,33.66473323844953,35.406040386581836,34.48768244658843,31.355576994684004,32.09192710004537,36.172677507521506,34.06206375686051,30.786985803056822,35.384182522865345,38.50880408152461,39.73309369179591,41.605528964760566,40.651275842619505,45.108577312809075,45.04305958363515,41.07303141887889,44.2796803353501,47.364689891591276,45.300414340145444,44.46581305727087,50.0967167632301,50.68575941959951,46.601196302792225,48.47670933564118,53.288535623397124,52.871489934300435,49.806425131555166,45.852538780965865,50.886580485267245,47.75423098248126,46.646008822006145,42.081087376911945,39.66093315910098,34.969664507264554,37.81436297866113,39.153839265477714,42.93856792259742,42.2385544778004,41.026071806654194,36.24269869302066,36.73703942376322,32.45571479753737,30.523952729220145,29.598773306338188,30.095491187474302,25.79639722247865,26.060405171484014,27.76339602750575,24.786160316090374,21.340109524091613,24.309692079323863,25.600476898399386,22.373853319648077,19.574520091678547,17.350348583211442,16.747601436552163],[29.797250872832215,30.98867906609898,32.21025556315533,31.40453299391819,32.30834576850412,25.61265631997003,24.707027496381713,21.763191581721696,19.07068208476396,21.190404739325785,18.532823235384672,16.309941200073876,22.00853654176996,22.091383517365173,21.17867827542263,22.86189873025567,26.750393317203073,29.223470955158106,34.04319872575152,35.59750533124027,39.209034498403824,42.685313673565496,44.79647450293125,46.24434109783734,43.306678589786834,39.47422157707617,37.57869766925039,33.50146538217043,30.456588889312005,27.295941912002334,25.59171247979109,24.306112471105628,23.593941574345592,27.85351694626125,29.088169090878964,30.758646130111813,30.078745737319245,34.897050624264416,37.33761687763307,42.50408149635549,42.48255127109997,40.922689427532625,44.428380774394874,46.00220238570249,49.26223635414312,50.080372426476714,53.58086666964308,50.69602022569898,47.87811078871141,53.15570876695194,52.90733981542592,52.859342635467584,51.98904225071927,46.80111599745143,48.09614673497321,50.43901423929053,47.505126886586865,44.60771143047257,47.82129182745955,51.102575232238365,46.86781050990073,44.812800919132684,40.97220842474305,44.35906457351572,44.41258728087634,40.25587507123259,38.203405481621445,33.65025255086042,32.99942989581138,28.518058703180476,29.904014253400035,30.918203878447905,29.85034501507198,34.32223047737695,31.35818622409202,35.18187071681988,36.35000960827832,36.00374256116145,37.07719344336949,40.37645295905383,38.06803863223531,40.50138686853532,37.496527775758594,41.32046008405757,40.1052638141011,36.26554622442969,37.361838762354,34.31653281562687,34.69343122647769,32.73615613887527,30.99635328761602,31.51269741814421,27.53556924316729,24.193505939671965,21.777844810103044,19.33650594598383,18.14641735931748,18.755269220406166,17.461680157924782,15.942316623535168,21.82664383927557,23.345290158532915,27.37776119305883,28.60153386349809,34.74937715474485,32.933152725298484,35.74317648243699,38.44236005214837,36.27859600470807,32.750788787792345,30.552441197299398,30.34174932314484,26.660184010746402,29.634547980853736,27.357649004943646,30.7541569266361,31.422620502750476,35.52473904643811,35.65101592082362,30.941605348741554,30.46882002000667,27.938003206315276,30.935875724489893,29.166061855867568,27.14763502048694,31.39302641961109,29.786250716271187,32.805865532055996,35.06839878789896,36.91226363381573,40.65484144405406,42.72878325969949,44.48015365049888,41.58386865971014,41.54804488324401,37.867050683125356,39.535460702916815,38.475103606183005,38.273705273219825,37.511241249178774,41.10965761638329,43.073223031716594,39.11857742401586,37.07220589845948,37.609365841078755,33.160872413218016,32.37255573396829,28.856532226239267,28.2546767785777,24.295577493995957,24.244543818685216,19.28009018785349,20.0321711562209,15.223175512690927,14.16814424108887,18.268220538255523,20.001156673634885,23.50627311093561,24.880848677172086,29.247491310647924,33.19053416932712,33.336127208128254,37.14386294869631,38.67957378968942,42.30773892208869,44.709997985756814,46.40577994333058,50.34487233778629,49.0150954875862,45.84504615890944,44.055359968408816,40.82331967607214,40.15395956782765,38.53227889623416,36.224071780653695,34.11718174726665,30.6966590219644,33.42905032171824,36.9907320497431,38.0288224278079,41.32935382427255,37.518427642060296,43.29727623493945,46.841172406506814,45.210272449002694,46.45357865038501,44.550851158587626,49.735249944682145,50.78801601566663,51.92035755909897,54.2026986797199,50.53604819724771,51.06272815941134,48.97466329709628,49.23851332403027,50.06200510694757,46.410626392884375,46.16715853226271,44.56572524781618,40.490679614759514,42.99001856211886,38.85487817506076,37.01894019384328,40.81034957569416,40.74334051956888,36.2360627131747,38.37711734483568,40.76691837355095,37.98424977287845,35.25833204915877,38.354567896645165,38.95345858076298,34.4614039370979,35.61434054080034,39.96725869109884,41.617718354321255,43.58057889533079,47.90849741005387,45.805114003149804,46.82601566240633,51.13967024765452,52.99090516477694,55.18328543911496,53.336406942563215,51.73961414814862,52.49964024659183,49.082722077038866,53.94733914281582,54.89035571426136,49.76557019539522,50.917996544299825,56.1035125051559,53.94127638416087,51.04818047949001,53.734108076180746,56.63253095851524,53.31184224255288,50.84916883077963,47.27814015661374,45.45535739860783,47.29369124555907,45.31590147578194,44.11806186837842,44.44678289620362,40.493279880739856,40.483359847066566,41.162086006552514,37.9653800055046,35.19326369257895,37.28891829729821,36.13181619135453,33.04723395269264,34.23398631924643,38.11336798979364,35.881793552167224,32.97482998746703,37.70076069850982,40.612385441268025,41.98772754392854,43.61099167460838,42.584540756153466,47.00525382266674,47.20785865152945,43.46433847790199,46.46025747689227,49.71361078525051,47.84696040908559,46.98920015339224,52.489855090448565,53.34929257748314,49.41017702398286,51.10889427339237,55.912808202006644,55.72739127420387,52.764318816133,48.95475713851524,54.06825464412058,51.094795518772436,49.915257175660436,45.441250847928366,42.82242374380287,38.22802520308701,41.25986504988997,42.46892896037264,46.2261281800827,45.35964295713938,43.92686727979615,39.1208578181139,39.28529117741895,35.135224861398676,33.251799879741526,31.790966299579427,32.172420974776536,27.684081974719316,28.512497837471024,30.34233072916273,27.083939035527887,23.912296650306352,27.34665376831044,28.367397793077977,24.850732755346584,22.06600902041708,19.66921098029751,18.85230450502186],[30.752169769023332,32.11635529140014,33.765883343418245,32.33670732595404,33.8066490729984,27.171506725288005,26.297450756636465,23.97657880448913,20.557871406400537,22.268121044540038,19.467325290915504,18.164992724618646,23.557870199075808,22.671091772530264,22.0000079742561,24.236819064111327,27.7858111976731,30.060536905212363,34.45725379304054,36.55667932573727,39.8733870968443,43.6296304888501,45.388648655983836,46.76390030195096,44.11118511985522,40.08167556025157,38.61351611933612,34.55335943577772,31.772458308061708,29.09049929883225,26.807968070671638,26.475604941512916,25.78110290820112,29.718472160226554,31.11424808588852,32.39729784952321,32.31268518307928,36.6456300103668,39.06433562527737,44.5665329430365,44.027513481224716,42.215253446819986,45.85901118479712,47.55936152615433,50.65191632207215,51.634243360379635,55.145211332184736,52.34923390667449,49.755380338924994,55.1625100119587,54.98760727276463,55.19588289808494,54.241674943785114,49.039380698967015,50.42719598905773,52.51525516329623,49.32932403117989,46.60658276917227,49.84327934008783,52.8574234119305,48.34589503407616,46.13751309372015,42.28344610440749,45.216734795982006,45.43694139742413,41.44460172070303,38.75185461655507,34.34264421083482,33.07483454111006,28.56159288477398,29.53862087299223,30.071149820267802,29.527206470835424,34.24301053867218,31.862678300673128,35.79113722511992,37.461105394446435,37.394871562903845,38.7697166305351,42.225607367203814,40.354480606830656,42.878084133111166,40.273086724495165,44.03218023579271,42.47192299536687,38.629009604152046,39.32018617833443,36.63936835945543,36.33765754073347,34.564578414600504,32.29121494066266,32.39984921352217,28.435384900653272,25.46206119143002,23.012838638020522,20.134932819006007,18.849204817965784,20.769550250667855,19.91267593163699,19.424668926530227,24.853926930172943,26.906050342612993,30.528954925557727,31.996200545309453,38.055635529060034,36.057344047976386,39.121912291354505,41.56535536309567,39.19086863252005,35.86522688729332,33.23939562305267,32.79184444602072,28.736178437000728,31.322029810401276,28.60857441962751,31.682034341802286,32.23389640628952,36.050510720059044,35.88966299262071,31.378642389420424,30.583431370332374,28.236026288174326,31.1991071105143,29.78163286375967,28.108833586401644,32.782393573264414,31.687118229633608,34.89196394479228,37.45227259347936,39.62303664859035,43.12321053388182,45.54951920506209,47.09900083853352,44.4665349986914,43.92136474953903,40.01181830203472,41.409836884674775,39.96027344730165,39.348256184503214,38.842873467060286,41.920804299554305,43.91627835358719,40.00442134827596,38.21741597416963,39.032147305400294,34.72127277229653,33.87246318212783,30.727588638805805,30.54227411850155,26.54828094226983,27.099873107362832,22.190182839514055,23.703198919981077,19.005240950324527,17.83802823293958,21.785604896026058,22.90924312320211,26.67318983199583,27.56788692926019,32.07809862791528,35.50392904999435,35.467222709824945,38.893205274973,40.69650312230066,44.32390997625507,46.30564837687381,48.377363510328955,52.13946898778732,50.839130533480485,47.44948607182992,45.936051966804456,42.60050592901592,42.336975355233875,40.95453951604796,38.79440619641012,37.049188330398025,33.390179446649995,36.562053488659416,39.79146028047997,41.07335788632075,44.03730386889317,40.3759319532756,46.17622528900176,49.63404148793955,47.752870158623736,48.84780666288241,46.66961140963689,51.94197065022051,52.634398616623294,54.100323090452015,56.40859011773037,52.885385283911425,53.4439932042513,51.39349837957361,51.776562840695675,52.61842512300845,48.785675030500876,48.813697757248065,47.09454907127355,43.227823069939895,45.85134577333306,41.883053913925,39.74070388153015,43.30501543015325,43.51416569514636,38.86260729335989,40.42137409108091,43.06681316006627,40.62575374316653,37.346167953279846,40.24569164981153,41.033463603643305,36.474216494907765,37.12282241553258,41.50279209002903,43.18937397318405,45.46666531417609,49.62293092276041,47.86928979769397,49.06955649376457,53.60926791951272,55.50031560588407,57.86852669122942,56.33035277722707,54.80472800537026,55.79137210696994,52.46293675772568,57.33363177013377,58.03934272461759,52.755006273708915,54.11482157747837,59.184984989018844,56.7581892319884,53.89663483648649,56.67902216909622,59.288697334698334,55.79006049924397,53.42166796573559,49.8853017469699,48.465664403030864,50.497109182024246,48.59681380428548,47.68162783789896,48.1775005472379,44.26789096437061,43.928699185619756,44.65797047981034,41.69392560949019,38.6936302806039,40.49380052901136,39.48768127132839,36.34721012347737,37.14441272270062,41.15248670357332,38.92795615359292,35.65955667242336,40.27644961532232,43.365060403832004,44.68889353660645,46.61279653883682,45.72233137049348,50.178537859520816,50.07523618688581,46.13828851953625,49.38213195069441,52.44157658208884,50.342318766480155,49.52876031158204,55.181485609659234,55.70501955679929,51.57597683569468,53.4870802539892,58.31515482606077,57.81628659047246,54.69700253900427,50.66290605697028,55.62959660497818,52.35466183727581,51.316434432736735,46.68673387954324,44.451202838118554,39.695652180370146,42.33055756112767,43.78380722372649,47.5674526758975,46.956030687608994,45.91914591078399,41.07679434367087,41.62815714419626,37.227170418359556,35.473287183148756,34.64016167205971,35.194539869134665,30.860849910101866,31.098339200149045,32.832569344360145,29.869567022531246,26.398891513739073,29.229074700532326,30.530445950958853,27.29939988322827,24.545959737334776,22.31872260435906,21.70760017399969],[30.89221675129856,32.7485643489161,35.00698794136771,33.93510043167047,36.01827162740849,29.27368117425232,29.035186494351137,26.92686649475934,23.740990630229984,25.993137201379806,23.53785942039367,22.325251825571673,27.800582745858453,26.83676874079711,26.60387430535165,28.863615506713238,32.25270843850183,34.72161272622102,39.05768655210417,41.24492185179294,44.57595855921579,48.36961857257453,50.080763906442684,51.35028196808883,48.693796553748896,44.60476639843827,43.112742918275295,38.98562289930946,36.355855634821786,33.659075204713155,31.631643279757405,31.127573388321828,30.489836880442397,34.49944359887721,35.86580432790782,37.164721934631416,36.915005273439405,41.27218677665576,43.58378794919657,49.103268506704254,48.5078776352347,46.85869007427675,50.564909837211594,52.17235480550083,55.20771940610269,56.06059469395715,59.63614225991481,56.942505025485865,54.21795516099267,59.582190636352315,59.536814590535194,59.68664704762157,58.83880986733023,53.59259824235274,55.04351902630635,57.22271875046218,54.06442613835436,51.34062324073083,54.60920595978793,57.655249022244725,53.16494523700682,50.99680007535877,47.145224830286146,50.070190692817626,50.27388293415009,46.2741961460635,43.533234475700226,39.1438337699702,37.73535897890757,33.24325970478022,34.06132598701135,34.5017199987083,34.193894717950975,38.961764437080284,36.6934122990226,40.61325933696779,42.328123956688074,42.228650393824985,43.5988031164658,47.03074632639493,45.0498172930443,47.48879932746402,44.70587833233655,48.38863062715194,46.8695738676263,43.12363986012364,44.00109302262298,41.296349132496275,41.143548849055236,39.363370710276065,37.150658816662435,37.215839813369065,33.27062210696339,30.295679516744844,27.860634219399195,24.997585110054004,23.63939704146746,25.480174016895006,24.383030734434485,23.358131253294328,29.139804725803437,30.618824394331774,34.63656723558808,35.62110994075913,41.6943812338548,39.424508401015984,42.192014407402496,44.56607985877919,41.935226288098555,38.72410346038167,36.01443306900764,36.09217868730652,32.04744231030394,34.87096402779792,32.489767937761776,35.50299586418183,36.36742834386136,40.07659172280446,40.20787077263552,35.789533580480445,34.76003823749704,32.2727502994355,34.88060910240729,33.30963636875715,31.374422003692803,36.00381302536258,34.41646129309117,37.97269956954702,40.43607952244717,42.881089519292836,46.08238726690054,48.52498991895009,50.3617573943296,47.88422992992489,47.33310799765359,43.48592676151427,44.48956011429185,43.33078901159755,42.795429303083246,42.580387671775,45.72063387368278,47.99655089570291,44.21074566765654,42.31638428995038,43.302450612446655,39.05386965358245,38.001899723198356,34.81492213121367,34.38803969963335,30.200563123842585,30.378728897401388,25.408666269161568,26.657835208246446,21.40602710741007,21.149317146863755,25.37965641156795,26.820058693664357,30.29996416851602,31.647737595658704,35.801138002730454,39.38752352753956,39.713951894579935,42.963610666323646,44.9552141125262,48.37575306292358,50.17571754908026,52.138987561422276,55.86172507859125,54.31245368320804,50.96509025608076,49.44854450173684,46.28957840614743,46.20041685691261,44.93878237849381,42.9087796997551,41.083593139668054,37.64091146518322,40.731189152522255,44.038294791960254,45.13434545262836,48.107432456931285,44.122780828617735,49.9061825723351,53.40690887583443,51.5929163430924,52.995361860425895,50.98345616816958,56.24521689667658,56.860022919451275,58.18832604674078,60.352298860812816,56.77195820301451,57.092458906084744,54.86737246680358,55.06100171652412,55.63737859378382,51.67017241245795,51.49610987450972,49.45103373094012,45.62809789775567,47.84383076091165,43.83662646754378,41.8338279527711,45.06300932284609,44.98381378435651,40.317901247807306,41.8846128869316,44.20511775852452,41.49995921343608,38.25476420548948,40.95671718222929,41.407829483142315,36.80339916881353,37.5061878199809,41.59720676552997,43.62836466343995,45.536740915487,50.215040669320175,48.6019435867213,49.52929070060771,54.2348100122435,55.75209312825024,58.48648261626852,57.08937090485765,55.89631602351338,57.0695718893487,54.033663708384765,59.01414993328868,59.49804121605296,54.40677248757184,56.04086700913574,61.06515881373911,58.565810437596525,55.94778084921435,58.967118009186215,61.36572463747309,57.7743144701769,55.879273436306285,52.00650350138096,50.89685698859094,52.74605532321058,50.47501331317957,49.658627077927314,49.793885745778624,46.196473625013624,45.87228661624143,46.036068547343284,43.110673768706356,40.38202352363772,41.82355704298644,40.39771810346924,37.20388077923971,38.010349569642734,41.694881795789016,39.1511562026974,35.83926729846994,40.457088168587475,43.41543082300744,45.044298784055584,47.20267462178026,46.7375681549747,51.194332883686236,50.7308053988606,47.08668659051665,50.63710656383493,53.451973542870455,51.29168057445618,50.93863627383713,56.516846134616415,56.77410718613535,52.848580513020195,55.11899365386915,59.72555582131081,59.03704271042997,56.03164307699092,51.94970149261891,56.79595973513215,53.45942606564566,52.04779898421964,47.60330567574045,45.49353145813453,40.733959167409445,43.41973542434232,45.17484067486987,49.03120495127369,48.720630115777034,47.63814464356843,43.11912540017242,43.95234828318837,39.716630270789146,37.466320110040414,36.77093465947224,36.90955224507739,32.809770106009026,33.1215186973335,34.18065093282534,31.03042524139592,28.22108865812734,30.49981335520813,31.1638640164316,27.78694869814197,25.32402756102916,23.234876793123636,22.996268012961366],[30.499086965414012,32.20995163973776,34.56873665860822,32.656119623441334,35.04880801465408,28.585696895948992,28.158354101968843,26.71147489569851,22.851038503436367,24.519725183273252,22.056890535678022,21.79430202924351,26.740304525431252,24.886884573746148,25.04819906871576,27.752921267775225,30.62564325053689,32.97717308961623,36.82637552270262,39.51028316450733,42.5609879584785,46.59002940820557,47.93636834374341,49.02906533244002,46.6337759620542,42.38486302909522,41.283066865270875,37.20981736810786,34.96180123867751,32.81210835047747,30.550133490580265,30.88946939168485,30.568213633777283,34.3164403272635,35.55367979764257,36.29499638661549,36.56699339526577,40.28166651955066,42.4619240041943,48.317881930522894,47.113244760103896,45.324341836709856,49.19454014710435,50.84433937276275,53.644802508050574,54.598365070575355,58.19787228255243,55.67673101188684,53.13671175845848,58.6012644956908,58.72933473659372,59.17496825907631,58.3282753961446,53.050225911121444,54.713238663745045,56.61305166478415,53.172939619392466,50.737134399219094,54.12157298687504,56.79830121120524,52.028313831756705,49.896790014986024,46.13676355281757,48.56433031060499,48.752908984933526,44.91328926541753,41.58478880766748,37.39695588644981,35.37179789164741,30.978596970809416,31.349272028974344,31.499034014179156,31.78788264723027,36.68983740920745,35.01521524360996,39.253880758592786,41.17937344420416,41.565746179482595,43.01444881855476,46.44365611585973,44.86160935509608,47.216457049717484,44.8695573778568,48.352385382801074,46.402674686120406,42.753979608675806,43.280625720198,41.10978305074289,40.306204704405914,39.03986958365786,36.31018214419822,36.277390852160245,32.34935074726687,29.73606891635252,27.022397737773478,24.060148098938154,22.338069645432924,25.352220637987752,24.51829431011548,24.638925832566024,29.799917082341192,31.789979284223513,35.260687802239296,36.4798873244307,42.36923826933344,39.90559236736786,43.04059535397037,45.078703062864236,42.29069203284978,39.32817044557244,36.17083185256564,35.82801419811808,31.45018434565839,33.75616936736321,30.962197004469477,33.5842928235073,34.34074088277432,37.698381640839585,37.64958759655996,33.520250390779424,32.16121567083545,29.86595450586081,32.350849618112896,31.15779079221502,29.6493952343481,34.61095372412105,33.734967867029624,37.32293334807173,40.11108171910922,42.836947276703654,45.79297134682565,48.631024138918015,50.134197293649436,47.97250632005606,46.813271243739734,42.73743664292833,43.51064378851587,41.88397248701577,40.91984254965674,40.94054948017823,43.51485952473219,45.80872225932834,42.13211851471759,40.49955001903155,41.77646590491848,37.749070807772924,36.61541354228829,33.87444012580543,33.90240305705029,29.782904739391046,30.691868448294947,25.924972859767312,28.11999994127965,23.339261306341164,22.65732397754685,26.563855535503002,27.217909854263315,30.932448977225082,31.691260547973044,35.92650382609184,38.84647057902636,38.99770082918414,41.75552189423817,44.04415984854653,47.39634231584686,48.71373460629988,51.072993921572724,54.5720596179746,53.09667452404898,49.53287713987145,48.33379034121535,45.073821081549,45.42574973437252,44.45845162529015,42.646049945269844,41.29093472846234,37.63696998748446,41.289399936209264,44.10764958947435,45.47080135661121,47.962742449842466,44.180162925719664,49.942798853218456,53.30766679226548,51.19322355278839,52.429476767415785,50.144277980687825,55.46569650238163,55.63916457980084,57.31733060082809,59.486914350301625,56.10124762078045,56.47011365136739,54.327367098935824,54.69544462637585,55.35595038185027,51.24056827323298,51.45704964407392,49.409878622835095,45.85731179277432,48.382262592113,44.64232515376182,42.21857003938702,45.29335743339494,45.702353703149285,40.92521556522326,41.77056326576629,44.538912032243246,42.445981223917656,38.555562790021376,41.09498764718795,41.977231371410184,37.400288438056656,37.45342181479587,41.68730095482426,43.51302930648061,46.0120475122835,50.09591868080771,48.83492267461415,50.143326670309364,54.984435563784835,56.787925371493756,59.49420779985693,58.41852937491956,57.12010837999621,58.482488244234865,55.41840149067613,60.3219803999934,60.59904275836654,55.2263890988249,56.98268254042723,61.847719161492854,59.056353090144555,56.38024340319571,59.40087601342815,61.51098535010227,57.7653681317618,55.79967622040605,52.136742580973674,51.406676448397995,53.56969184010323,51.58887783997406,51.116203290209384,51.681995845725,48.002899528194426,47.210265354206236,47.74982854050557,45.15537248880396,41.975136870367216,43.21112820276496,42.2659539014797,39.07311592906966,39.351542762035734,43.36918872189203,41.09886072465513,37.394334395563135,41.79403149991792,45.03772847796577,46.36127845582897,48.73330710544116,48.17684960869267,52.64431474295298,52.005709744861235,47.96176512567207,51.61440464842233,54.29989396564362,51.90020306888464,51.344194528888956,57.10828550184776,57.0935406537841,52.85503346599882,55.176428963858974,59.892475948910345,58.92911270669342,55.698730212443856,51.415539173309384,56.11356703039287,52.493958785476494,51.462231672066096,46.783116700680175,45.070172402871854,40.19640017236842,42.36572488734255,44.2173316680682,48.02225866200777,47.86042238169591,47.264531775011925,42.61119599341592,43.761718034879756,39.23156678513384,37.37064627062577,37.36081386501272,37.91326651640004,33.95155284292631,33.51476480931336,34.784679871494156,32.164370973469445,28.713084867203083,30.526839922924122,31.870342379599727,29.02702496374347,26.50785133247485,24.62948366858425,24.431997272894783],[35.571644207020796,37.58088643229392,40.31091161467957,38.398462464660085,41.12228781447755,34.71317908949771,34.42978163878393,33.0700522221364,29.19106474629754,30.710553518626906,28.148817439800336,27.94675789339409,32.808773454326165,30.75176023204851,30.64227927629576,33.43306889724758,36.35135131994433,38.341131035692,41.932689262227484,44.79500725979581,47.58182802226261,51.679542680191645,52.8452649804085,54.045996242607806,51.901480347956635,47.64645858951173,46.83946573270214,42.88310163582263,40.60708097012527,38.584648163846275,35.712152680837214,36.44516529698056,35.693000246626085,39.13121233476007,40.792690614626956,41.64627095273223,42.22462126024543,45.92538546566191,48.23182729843036,54.08623605707431,52.85210785905567,50.783827076192544,54.567250276400735,56.398938154938485,59.19081954985005,60.337597062803866,63.846739935581844,61.25147560894853,58.945377172675606,64.4490421968729,64.42249496988123,64.93903009875763,63.90749654429039,58.728929229032715,60.20871946086134,61.97997897287941,58.519341732798324,56.02423677567201,59.21937755686774,61.88422954067396,57.06384562919246,54.608896466210645,50.77637337175593,52.99724699749854,53.53758055072461,49.8783317362465,46.29772306195288,42.25258417675543,40.072943612023586,35.73481275793384,35.9662817574795,35.56910595311543,35.98891169730156,40.87395846458039,39.5236433563117,43.316039670758805,45.7930675228921,45.9836807872203,47.83077454853799,51.47965339353742,50.1690961848066,52.793336852446636,50.60549523731768,54.25335097499638,52.33257677598041,48.567274803444086,48.81607505387022,46.561462407133796,45.48335282191779,43.83709302787695,40.9877129392723,40.376718313439056,36.636947427489844,34.28873333210172,32.07616512129374,28.78462684621541,27.600145107683495,30.748529466177455,30.289449754420218,30.357516725958032,35.53282929195458,37.754783771882416,41.19889957226475,42.62610185259326,48.573144760680826,46.21490355749138,49.31145042318279,51.40572322968289,48.60877793470146,45.636143918862516,42.50028440060834,42.189838263713106,37.79786552658999,40.01611848011977,37.07270638953584,39.56078957867407,40.13629115931486,43.339500446510115,42.92054880196367,38.93540610460253,37.56878291743074,35.52735349540136,38.05395169546941,37.09699416291122,35.77388233069527,40.805882554788326,40.008603896762,43.64555837014216,46.45030473161142,49.19872740257745,52.12603671782483,54.97962494131249,56.48847711655597,54.31944191253404,53.146442908719024,49.04457969715071,49.75906860361335,48.04032629160634,46.92778660632247,47.012338069454735,49.31492029032212,51.50218769093257,47.82553839555524,46.38792271269007,47.67051815907029,43.6748491371152,42.6497909255702,40.025670296606414,40.17773198352553,36.108505434031066,37.02506737447299,32.223888357869725,34.19047041539215,29.216170723400033,28.592156520487073,32.57216538837382,33.366560649568186,37.13984464929399,37.827814396390636,42.206398802701656,45.103071182039734,45.06974527348004,47.849370762063515,50.081985323703584,53.5319989287154,54.79242314323777,57.277899474674264,60.72234948386285,59.29185031854956,55.67186225223876,54.56331006677095,51.26795970774324,51.66282495208978,50.67491234074762,48.79347661034736,47.41949194412234,43.65406017969593,47.19065865872189,50.10300863519882,51.5460271760143,54.119566343384456,50.46214574028566,56.23115111642666,59.59036235781201,57.45976451864663,58.55370626950722,56.13848422062522,61.46578460322241,61.61667470074205,63.43839582299217,65.66579192936052,62.32652761356016,62.757907210681964,60.64424527045097,61.03647392476644,61.68745978333033,57.54103589111771,57.75606902259631,55.628162927832506,52.10513129937299,54.505899891189614,50.74805810997494,48.383757633325786,51.32230885214937,51.61874778835781,46.84565078773872,47.63784888227033,50.27385073583126,48.06666945602193,44.183997500195304,46.56644632197637,47.26879309750711,42.693511547461895,42.69342592449813,46.70336315845171,48.736629100364,51.044871346640875,55.38984446767349,54.293488043760945,55.45653574698974,60.40360600154105,61.950379477241704,64.90156275247458,63.91653809555648,62.81482708871114,64.25229776405862,61.32146143234092,66.27406398080942,66.47649595173847,61.20613095575313,63.06128829402755,67.91377400910116,65.09582795589513,62.51498270905971,65.60998227100585,67.63508666441007,63.84309631830321,62.03674041413213,58.2872241959304,57.6566855436709,59.75600475667484,57.6394917779864,57.143405862903954,57.50344083812438,53.93290565021058,53.251033469903355,53.52867972368593,50.86936893385331,47.89135694827277,49.02722532186743,47.81716319449885,44.60564362362702,44.9601618564006,48.752977737615716,46.26262408966784,42.59291319368877,46.980330705559005,50.10477591931346,51.64344730769062,54.14234130197729,53.83058415781639,58.28945427024723,57.460735947830806,53.60593376112118,57.412201983893894,59.96206884616462,57.522997466653834,57.208471164942495,62.933000932931385,62.74686764150951,58.59792219088503,61.10923506084577,65.71535487171825,64.60417203595455,61.40588544711972,57.06494527853982,61.62729308511639,57.89788092389306,56.732492251764796,52.14076250813739,50.626553937149524,45.75390019589504,47.793754013311315,49.84854803618565,53.658199550271824,53.701863546414174,53.19479778028387,48.676430269226096,49.96637033196606,45.46176017198843,43.49003239044225,43.53995143716326,43.929244063921686,40.02402988409725,39.67188570889747,40.675933153793146,37.95948334089648,34.814525468059514,36.379078848113856,37.40719076733188,34.49203176390294,32.134307250806785,30.291939978383287,30.170405979823677],[31.935736668655952,34.145492039983466,37.31735368491307,35.32580510067916,38.66254183984286,32.462998389298605,32.68917949996249,31.91980221013202,28.075825070962054,29.93830624753583,27.920142799967728,28.196719404670347,32.85410570866177,30.501547461479355,31.3098671013204,34.20698557440831,36.588654439085275,39.03840750317241,42.4641579916,45.516419646273626,48.37044989765975,52.55358517888421,53.59035836918478,54.429022834164286,52.23175089125326,47.85791068818629,46.99451720587011,42.93409638676683,41.112008459181844,39.28018253822262,37.1732444644299,37.7745666110012,37.658851291479294,41.33034003809391,42.47344622415445,42.9250992594704,43.31166476396092,46.66043175196362,48.625013547749944,54.66864796674646,53.02028981036343,51.34754949945441,55.36537217805946,56.923212418057474,59.482914015919185,60.34103994941504,64.01080794550933,61.743829438340406,59.18493483217793,64.63485909450338,65.0326166276254,65.60261917942259,64.88457641492431,59.54917505362026,61.416211748907465,63.2368508437911,59.661582768425276,57.41508339262001,60.89373438659257,63.36271654379557,58.45888625028606,56.400037970630905,52.71602606049676,54.80884320917588,54.97435531053907,51.25349509559987,47.53289486681017,43.54107378509845,41.01597371673305,36.79164445015182,36.71207450159569,36.56257201956718,37.47135264001666,42.42344731150202,41.25376268238191,45.61081508041538,47.707210505264676,48.332705709763395,49.82589325442182,53.21852677099747,51.76034109518716,53.96792943376832,51.68924116011253,54.959252259910144,52.80181992043928,49.33839826548526,49.8594649193341,47.98104260315675,46.96591399497107,45.98039223286841,43.03952064977356,42.892000958329255,39.03018250694256,36.628186068009,33.82813681995295,30.86403042040453,28.957551348016395,32.37620967899837,31.448799329860076,31.582037447540433,36.773509566494816,38.45026530387679,42.023018826413036,42.85688575242191,48.61972880958827,45.75316754577545,48.744084577354535,50.470774409139835,47.30533395180274,44.671232548781795,41.18517057504013,41.198096219103796,36.714940869331556,38.930780213422686,36.331080239680574,38.581992243031195,39.61942803962771,42.554576384297384,42.739015016740254,38.98389537034464,37.18291362489257,34.91178707436429,36.823028680516686,35.72499216835394,34.22208425803912,39.20318041598604,38.214038191569806,42.16813038208756,45.00243773295828,48.201126624725994,50.60043554183848,53.69207428469318,55.31185523219594,53.563866107204,52.01086084717403,47.907134917736045,48.03101689110413,46.47678037658916,45.33446888223044,45.87354421450681,48.10291588405188,50.72378375687765,47.32698791848345,45.76034036077527,47.40780797448404,43.638477239878924,42.24082014569859,39.75992094699992,39.783807479229544,35.56171806604223,36.45876494211969,31.827396418406863,34.20428457072688,29.196191956192994,29.163922939115064,33.14629062358039,33.72363821138097,37.23400075739532,38.14157692351033,41.99964444556727,44.67325603098863,45.12971218881533,47.35386090895584,50.02521248405828,53.06172142543317,53.82570466636592,56.29393886796804,59.558749398525144,57.83432802997937,54.21253144312185,53.24105147835836,50.169370728394725,51.01586847350961,50.385749217559265,48.869812325617765,47.71250451386097,44.19444728988416,48.06028680185957,50.6701454083903,51.9793022765747,54.176272439693285,50.168227511152594,55.858852090426076,59.16690241854068,56.95094263560028,58.44096522254517,56.19057852194978,61.50944585343359,61.29221083985144,63.02587419741868,65.00785895387807,61.70253492357727,61.8064603235382,59.51760785783948,59.767667028837685,60.147152683167285,55.79817324362265,56.02730969074533,53.58715349442865,50.32036324063193,52.514270415542356,48.95847798423616,46.45772110769192,48.952250592519235,49.33051089230959,44.53854560651735,44.862472545643215,47.47601139477955,45.52365288642622,41.293606364378185,43.38553167073048,44.1189577790158,39.61701020023075,39.243534022302846,43.07435925021392,45.178473354913365,47.57576117017879,51.84596892447707,51.074055863585606,52.28082131954571,57.38301319948778,58.87015508594227,62.02421944866174,61.39603500839914,60.47608073824948,62.20807973816534,59.531419429291915,64.47999340806405,64.31542700776599,59.04251478105453,61.22457217170647,65.87518867788647,62.80084791149321,60.4263675174452,63.730577856972005,65.33808038705173,61.39029945220092,60.012747203300044,56.100929853434415,56.04020412758821,58.16953860902909,55.94110867814244,55.83232889259271,56.23705695634258,52.92200783985121,51.84319339902038,51.92846739679724,49.6379295404373,46.53048455895396,47.16851713451825,46.044997089421116,42.845997532934966,42.76418325563819,46.52490937207577,44.08465711651419,40.12748467313561,44.260105959606754,47.47757655966665,48.955278981523776,51.75676159170341,51.69587204540381,56.114387352043074,54.88095323643219,50.98888718721244,55.06730047059791,57.30151636081527,54.672194315012646,54.58745099638023,60.321481993100996,59.74185281022994,55.5964973019713,58.41021329167073,62.85861563666957,61.43746819098219,58.22929478227392,53.7851570594484,58.13449009185202,54.25634518540201,53.01676391118898,48.49295449832829,47.29791502413722,42.43921464730452,44.22648889825051,46.53068970125229,50.3246232435257,50.689718780278405,50.40371454908342,46.15960390237994,47.8722739797457,43.42831820552016,41.250610285063566,41.8669331860089,42.17792173592298,38.66304804383666,37.84751350038326,38.400738748282265,35.98047072636437,33.009167342154676,33.783292596075825,34.74244863562466,32.19751807404701,30.097547969036775,28.6082393348701,28.85120622744249],[35.65308746080795,37.72212206080969,40.8308907269272,38.34228871124172,41.68213185351049,35.71811498171621,35.65216028032951,35.08641963251529,30.910204897743192,32.18146375864483,29.977260224954733,30.631280520869716,34.92093706832418,32.119752657068794,32.72334168240861,35.814284898813526,38.03145193683136,40.06533264062519,43.07020465155918,46.40863055305025,48.91431952668887,53.204079461952716,53.95775799388536,54.829296529889604,52.95240768318118,48.562485513995654,48.10548096901729,44.21916426057913,42.500124936216515,41.018543485400805,38.320262500658544,39.60471297613837,39.31269672347195,42.597414146370426,43.96736151954266,44.243390299589514,45.12634295280887,48.150627116402724,50.17720124877809,56.31727617027297,54.417901647545754,52.421332969139854,56.39419575652344,58.12958190696544,60.587401464411904,61.6859473407777,65.25185903157526,62.971575457757,60.738527599228334,66.25173539699706,66.55065571181561,67.32280323850922,66.42936187699515,61.20136640420094,62.998699846598825,64.55491640605065,60.84697236774384,58.700387662179,62.06693210997547,64.33575987556966,59.288498819282054,57.02095176443946,53.3535930235857,55.06105527442338,55.4699235737633,51.982261769668064,47.86606870716208,44.10202902699107,41.26474747082132,37.17823341027261,36.84794582343169,36.20924668951201,37.40034573453896,42.31544799623123,41.623399284174965,45.77485459131681,48.306282867688914,49.027799449592386,50.813060761613386,54.33758840864228,53.29594120843301,55.67490250151425,53.78232587929836,57.09793435867718,54.77351307737815,51.24854965866582,51.34286158694552,49.661436298050255,48.12349967764055,47.11751553898116,43.87567918490142,43.313552782742754,39.63040436533933,37.60324234267725,35.05428301728554,31.883907327690416,30.237985231041332,34.199641421862985,33.72386049180875,34.440297634457735,39.230767812602394,41.47099946720112,44.635841550973176,45.90445780627524,51.609428274552855,48.878775745014536,52.11648166630462,53.784988093434706,50.68964529900307,48.09109031693733,44.508114683403306,44.13023526718202,39.5322113356639,41.35395732541022,38.34750047043157,40.34046304588094,41.047343964175134,43.73305800438116,43.43025223156745,39.91371646411103,38.080807097172865,36.17108982047934,38.196743172850915,37.52375781661345,36.47675819123294,41.62269966971855,41.22283310658852,45.02546402283326,48.03272970190348,51.20596217832061,53.63124659865946,56.86966408332502,58.21282974192615,56.513321016709675,54.71744257647994,50.49117369610849,50.6796974979449,48.72493259878297,47.26274539992694,47.7982395498813,49.53718019925606,51.936338043609375,48.55273406360645,47.30588335845447,48.99403992680377,45.34642058856832,44.094029816745994,41.92327283755328,42.32485262060205,38.2843232995468,39.62035484253161,35.0882130500341,37.7336182864005,32.986221171496354,32.490194801226444,36.27967678545301,36.53706462450604,40.265934087565626,40.7051678985391,44.82298185324495,47.128958271789564,47.214960824664225,49.31229482029394,51.96507817194496,55.120592666057455,55.7213177864926,58.49066316119708,61.62678020516744,60.099130954567514,56.33958272216897,55.57254598512905,52.36133654021151,53.333573856809416,52.75658369925953,51.229894719608126,50.29159964785182,46.5389535825315,50.56134859249303,52.99026495568616,54.53967993933724,56.58379258572718,52.914559662854764,58.5872847018449,61.80486848920699,59.429463700612224,60.59459880750926,58.06873970244021,63.395117262425316,63.010785900220846,65.05953866906569,67.14882994237115,64.00073457243734,64.28723783801371,62.14882040328255,62.57964261716261,63.11953681464654,58.770861255673005,59.25747961150188,56.93655289552217,53.77830875539354,56.20876660089305,52.76220963972256,50.082560504801236,52.59835832592264,53.228355041621775,48.41304136627292,48.43842575067906,51.293904844717254,49.622202464935285,45.16300862172778,47.19618809995092,48.14273824320769,43.681928834076565,43.02430627849261,46.903116993164964,48.87411091815922,51.554981242982,55.48485025788531,54.8824736072319,56.27693587074546,61.40330497812248,63.02378811341548,66.13402972745708,65.6067242305421,64.60095050887602,66.35270749125017,63.60056740740793,68.49603472661593,68.3225060334643,62.91477290056432,65.06323384866637,69.66677963105411,66.50339944675117,64.04620810687737,67.27136031411811,68.81724793457666,64.83392418435362,63.290668897101455,59.58743933433536,59.57700109282812,61.872348464762645,59.85189181648461,59.799231411062905,60.40312895609874,56.96833214860247,55.79359199643799,56.12689546219615,53.88007602601322,50.613688023172806,51.304076590196686,50.3802172017727,47.18944913267454,46.98824415170608,50.884126464653555,48.55187440520867,44.51274110965529,48.574719629525944,51.878761126571746,53.23374820170813,56.06596753862765,55.90983119757568,60.327490332828084,59.09873648770483,55.03597798880128,59.088198822304946,61.3134948410138,58.60550768333635,58.36176059270559,64.17057002327388,63.51615789418429,59.209299799256236,61.973888877886026,66.49933377412862,64.974420706642,61.64591669518287,57.12058751890032,61.37049112095741,57.34561336692037,56.37639099485612,51.73406615343908,50.76619252069954,45.885136393698644,47.34721204383945,49.65444804262993,53.375476346355775,53.77839177940589,53.77237672445036,49.40848001877266,51.1874014903771,46.576364073621725,44.733856420188346,45.56173457448287,46.11697800368448,42.56671804122894,41.52154054555756,42.31680475557849,40.09673729959195,36.784581299375866,37.52818527468324,38.83787211485568,36.476073747032665,34.308757828868714,32.818978678278214,32.955667259054685],[32.78135342378231,34.98382604454815,38.40742128256591,35.90226366601143,39.6913033178685,33.95469667619299,34.29876061160589,34.17499442391553,30.11803661919349,31.668982390268333,29.92182564685017,30.86826337374663,34.988846855841864,32.057617133887575,33.34488199500301,36.4507037335736,38.27556734829799,40.67904561084034,43.59081570006957,47.008725224311604,49.59475532215819,53.911413519004014,54.60217215632581,55.19418035232715,53.24282678123549,48.79018496508014,48.24379845362115,44.28598484008324,42.905803943367786,41.532916450221485,39.482527550116465,40.57126754839661,40.749867139634524,44.23136006647541,45.19738953883187,45.20822661337356,45.88299741616647,48.673188553868464,50.427716044544326,56.66447089572465,54.49535267295584,52.84608941769011,56.97984783029709,58.482837220006346,60.76889834846568,61.61565164257032,65.30216072093896,63.28024192138906,60.824063482927535,66.27036166121432,66.90032805614374,67.68670508394698,67.05109790320222,61.70944204171515,63.79226005651262,65.41257885295734,61.650734681318326,59.68157182053881,63.258519218648274,65.40296435873421,60.33065312937352,58.390031290826855,54.84465570110816,56.507548357775946,56.604161160455874,53.05386010690907,48.91279711811182,45.179467438402604,42.15356477218733,38.16816946638955,37.64886256743154,37.26881314283748,38.76379082626556,43.69332228380765,43.06538195496781,47.62999496427202,49.807698099972875,50.822912498753595,52.30534723446826,55.61193654398951,54.41112699028659,56.45482931156336,54.455340304606004,57.47545936301752,55.00646128676287,51.72870067966539,52.07477736346361,50.64882538429642,49.23423381033417,48.70984339124535,45.46318433407264,45.29523888133963,41.51922709522063,39.40862848843908,36.43723140281326,33.552254689205256,31.394343564880156,35.420751243174195,34.57017712229392,35.254592593206894,40.06047164369,41.83734214707258,45.11251322126644,45.900159265893905,51.43814130061253,48.33747040029574,51.45264551879684,52.841272997078995,49.48441216374096,47.157206269155125,43.348989268987594,43.248657598890816,38.63820122824117,40.471297274314416,37.795150845629394,39.61064868855773,40.69630549356689,43.180179036662324,43.39809539719197,40.05859045650522,37.918153232643675,35.81594356726972,37.3313521109878,36.517374219817654,35.30655906741579,40.341075292814885,39.754250999860645,43.77400178587696,46.76451441622448,50.258481950702226,52.26372171640429,55.65289493492811,57.096158443958416,55.72047899873036,53.66866381551046,49.478164930641434,49.204895465894296,47.42574295806115,45.979633110501034,46.86635958333861,48.584481561945864,51.32726979342114,48.179136039053226,46.80741235204382,48.7556665874087,45.29064444279252,43.75288762685965,41.6760394174765,41.94135438366145,37.81247739596359,39.081685285407474,34.72194996804453,37.60690465169661,32.878574781648275,32.835351198733896,36.59776184291931,36.73192250705302,40.21281305058279,40.85181943773593,44.52848320750516,46.68653784359308,47.17522562660294,48.85578667991699,51.82429936557385,54.63745602649414,54.87302074975124,57.58552800998479,60.58222937775099,58.81501401446881,55.08589136548815,54.41028688790268,51.402844395574284,52.700947193565355,52.39125825268763,51.14710040404502,50.350946347324744,46.8275435256061,51.047351089155185,53.26396285805122,54.6808527940331,56.451907520662886,52.5073590648365,58.092800811694474,61.26582774201295,58.85275902254825,60.34540392423767,57.98505976357823,63.28266605711164,62.63714667839765,64.57600114889432,66.4589286980349,63.33222685825645,63.35114283574184,61.07416830514925,61.37911425249671,61.69560862461827,57.21181838168257,57.68735668494253,55.12993923954028,52.18040869956317,54.42279285844659,51.14682918286672,48.392899321529775,50.548240670697595,51.22470430939561,46.43282338127851,46.10825624443827,48.91463727274011,47.44329362685838,42.76234344024581,44.5515312396581,45.51042543202543,41.14871816165495,40.20707940514848,43.90962264302915,45.92312342653542,48.65096941168671,52.502470065569426,52.15152315625324,53.56639434555464,58.78382841719143,60.34562638921344,63.59754611230026,63.34280084223945,62.484036065020504,64.45032595615085,61.9079985375504,66.78086086123203,66.3291674843856,60.95138044940523,63.34065054045583,67.7732561461503,64.43214073673835,62.14889801106076,65.5258825738045,66.74930854562808,62.66359082127994,61.469864190022534,57.645197847165036,58.06807809661076,60.36330587431244,58.25627074592759,58.49298973360461,59.11725765206543,55.898583694409666,54.438615078574514,54.61314897082085,52.65478519373166,49.322720252419956,49.630798701879165,48.772917681187764,45.61853837314958,45.09300611060905,48.92876877888873,46.65318786274423,42.43604456116203,46.265933884454086,49.614245128518476,50.912631714272855,53.95517393613065,53.99245970790603,58.35345243244131,56.823606316290174,52.76202276994018,56.9987908300018,58.970755049400864,56.13390895193498,56.0753001906161,61.85881711537671,60.90773994824068,56.63144856828124,59.61931879908883,63.99945269234124,62.244919375625535,58.929344247711526,54.34929153785952,58.41533045756741,54.29838788144666,53.26380868375455,48.7061489939502,47.98901464073547,43.1564833622584,44.41728580288702,46.907888702512714,50.59612471918294,51.24988577954028,51.4018182928445,47.28884337668439,49.37896918648195,44.86195521424268,42.8577257365475,44.0994187566252,44.57692712647796,41.35677419627493,39.986299373406105,40.41868310490378,38.44487599073607,35.32280679403712,35.45184875775782,36.68299684099051,34.63809069075018,32.70381017230406,31.501844375871343,31.903241440690103],[31.45659332197698,33.92627631361504,37.765438640672684,35.49140358826685,39.75926322866721,34.23901890751402,35.101321015088686,35.29723599190365,31.526387082734644,33.462834055231475,32.13601743293619,33.15935447676002,37.2248542839716,34.339811247168164,36.12457182736917,39.16861294969882,40.74987003316976,43.46715110549586,46.356261485625005,49.77099946302376,52.44778449724706,56.75056859563639,57.42747776144933,57.80588923901745,55.77306156584138,51.297930928501025,50.630157024435604,46.61413985711478,45.469761667496655,44.10125963949012,42.597862865088864,43.39929541511614,43.87694300108322,47.54510589264998,48.23950824373807,48.138465901191864,48.55987615226292,51.262366207201154,52.803158495235934,59.05933391896722,56.75383713557811,55.42601940066377,59.66385328936867,60.962970911104804,63.12937490209307,63.73722351596541,67.52083755337172,65.70490643238965,63.02940629572425,68.39085029998877,69.28481345163895,70.03298797154162,69.61820782253103,64.19048078085949,66.47176846322128,68.19653605901605,64.43755603387774,62.566267251215834,66.28899886756481,68.3932061620764,63.34483596159985,61.64739112159423,58.180639525636074,59.868746622793736,59.74020522073602,56.12811717193683,52.04151428995048,48.31549423715774,45.221301281440766,41.31120839301008,40.69752701308619,40.52479681258114,42.180632493669414,47.09741250060841,46.45685440345225,51.25936277986234,53.171881377208926,54.323584615854024,55.58302797396885,58.728316419141166,57.3398858350553,59.12758528869665,56.95772883563839,59.75741691726275,57.24653746436101,54.171627648611896,54.788889739896305,53.47825523984643,52.268582856054486,52.01887649233488,48.84679007295192,48.95383790788155,45.11361768633879,42.894061248242565,39.67429405087054,36.995038132608556,34.53684623854661,38.42346818610404,37.23729766909584,37.66474129471005,42.60776942646242,43.86873343247062,47.36048108267979,47.6523449665848,53.063937655900055,49.64534564522841,52.5311360709923,53.707659045953775,50.108354588780145,48.02010509898287,44.08919585003147,44.39247408343738,39.85549501757091,41.80431814807268,39.53988712639243,41.244393359137455,42.69939870590844,45.03407878248104,45.73952941368135,42.532893725959994,40.17799914656839,37.89180303307653,38.9381459610142,37.9318592769704,36.48324165910089,41.31399860963533,40.36460484249426,44.608781409737766,47.4977802785188,51.26666147523864,52.86719211511913,56.320694829521194,57.954464307495385,56.8516865804144,54.672417425137944,50.57814601072812,49.85396128778294,48.36727332482336,47.02005273279029,48.22601966374948,50.00444064528517,53.07197222994029,50.1414338406488,48.62052039133574,50.76155761989691,47.435679742359696,45.65402786433289,43.5906381948472,43.63729855188512,39.417620273788486,40.452610563125305,36.227550848289354,39.106746807819455,34.289816989098995,34.79156392609123,38.594733806032224,38.79155998449287,41.98404425376155,42.93528878490588,46.174252002652025,48.326821066146394,49.22833672567595,50.60433530440898,53.811261578858705,56.30666838026232,56.26548767945447,58.84386366798678,61.73080241888524,59.69970593883015,56.05177752731124,55.41582581385633,52.647905420876825,54.18847244445384,54.08321489905796,53.06586877184645,52.30459742193546,49.038732096287546,53.30950955174777,55.438506633117235,56.67605489130555,58.29215563057819,54.043691613566274,59.53851779866607,62.692217888495954,60.309633249830256,62.15311771536511,60.00166931625614,65.25448468796944,64.43846705626149,66.20799423026433,67.88216302140815,64.74531766136926,64.47941759884938,62.041450446023276,62.170442729135154,62.217365981248314,57.621901693189336,57.984821957481394,55.14903221308775,52.37882930073425,54.29504006374375,51.1490600040777,48.439170479077724,50.18479321781081,50.75809841105318,46.038166477594686,45.48590495169931,48.07198241072818,46.65018673358007,41.89856735950014,43.393748939205715,44.19699290322099,39.965738381175946,38.85142209862832,42.21993621417111,44.39384787570521,46.949866487185695,50.936290757458686,50.83590819088666,52.12690695416139,57.43309540812167,58.77388481436003,62.26354390758115,62.272451715269135,61.66899552328587,63.85268771366849,61.599777592130046,66.46873556572824,65.7312901986943,60.49716021027964,63.15208808040665,67.41901338023307,63.94758417868319,61.90762306691085,65.46891293263344,66.37575085166486,62.20884764343748,61.4746574853709,57.444168860960104,58.28342177740373,60.479655581178434,58.17261100255784,58.645924106373634,59.13461160052851,56.21552960512656,54.579034180200466,54.41531426212295,52.69614022014402,49.45890149620635,49.355872648779965,48.39211497263477,45.28808497773436,44.53764720275777,48.14530427129383,45.819004548946936,41.51794970931101,45.10560696868711,48.38663431278434,49.75160107465509,53.01368234366545,53.36663064098757,57.64395358947644,55.757790571252,51.864546117688015,56.32003099485835,57.988113716391446,55.05905865872017,55.33600500083942,61.01716327539173,59.74585166698242,55.624507729579506,58.90287678376962,63.04579056192437,61.05931361607169,57.836680063405566,53.24342015798299,57.08606029405657,52.92126180708184,51.66435433895306,47.31424654464903,46.839280031016585,42.11530424246844,43.245372190248155,45.968811413806506,49.621880671594624,50.57819447154279,50.80237178587474,47.05951170792881,49.445335631529545,45.12787208483093,42.82335676176094,44.365931683054384,44.615657219795544,41.75715022491652,40.23010469998527,40.13665474605433,38.29995912937548,35.6315647094547,35.128582298053715,36.010334556267146,34.1961851420464,32.59597738525385,31.68929233643816,32.38498564440622],[29.76974391712504,31.954650998603,35.712453352152586,32.838489697093735,37.27064173333457,32.2644758037844,33.07229961390782,33.85149686922269,29.926230417239477,31.50398665829685,30.49986873877091,32.13114268842022,35.58307574271805,32.27981377755599,34.56596367419993,37.702388358393854,38.712132343335114,41.462233279255365,43.93392641836272,47.56215437367439,50.06719474103315,54.415237726005095,54.850574801892336,54.96868949540283,53.0724531160786,48.57680162661661,48.09283021482066,44.18260278447135,43.471310632244986,42.51451426430421,41.30081824335256,42.411700612594416,43.30184966036788,46.83513577305358,47.203537666059546,46.65252727215772,47.237993029238844,49.3829955434297,50.67109661437726,57.039263005124845,54.29370315144263,53.09290161209858,57.423312932542494,58.60104335913703,60.512864788704285,61.0457099909174,64.8459887895749,63.28050389092185,60.64269636012931,65.95583382374032,67.09731707547539,68.01852518263983,67.7349242183261,62.30829055716429,64.82149906744634,66.39168369030793,62.50251389661769,60.922039096026424,64.76854136408664,66.56598660604318,61.42661241557941,59.97471059277909,56.69514423076091,58.0695792647943,57.73687209920294,54.24050257546459,49.92723432256565,46.424836322547435,42.991342359532865,39.34361162100866,38.40165323897278,38.262210485958455,40.35112995731748,45.17716809789152,44.89018594724678,49.9923028142564,51.72764203459005,53.29452589381085,54.37642820011985,57.326091432287505,56.095435808184234,57.62377693907201,55.698751913150836,58.18778638248001,55.3955282007037,52.559485564160326,53.089094818451706,52.24696295409556,50.77335766098764,51.09260402921769,47.727785340571074,48.041577243483026,44.2633148634694,42.24799145280584,38.75629785196723,36.33132462677828,33.52012729261321,37.828954463326426,36.63644898327462,37.64025228357098,42.07066452366466,43.39319715735711,46.503247363969066,46.74422070121152,51.853494965176715,48.262495612398,51.304019724383004,52.14769432163016,48.454791732450474,46.657090224933654,42.467340581598606,42.55159776369021,37.95512071720139,39.49631709298507,37.207808332925325,38.51604001468541,40.03692023588541,41.98185537159153,42.839641347743886,40.004272985903356,37.38085531285026,35.202536450467235,35.85400628111358,35.06137185981468,33.8841072759741,38.68573115276232,38.19728125545254,42.38388496150198,45.40952174357164,49.367607577263506,50.64998076564983,54.35363182471513,55.74575101562945,54.97289990663239,52.34500163997974,48.19900223289104,47.19359137886715,45.481916819224395,43.89610151933689,45.359724730951164,46.734261309198565,49.89969326972264,47.212512663972255,45.82536662661889,48.205727482590966,45.18994560371717,43.27868891509431,41.597347500369786,41.8616837373314,37.81045315854859,39.23925967990422,35.379031298258866,38.802463546345216,34.48633388335304,34.83371036582191,38.28320254893916,37.96831703234601,41.08263366234309,41.726389047918296,44.73538773104566,46.34882303565831,47.2879776689457,48.14497380084649,51.595389409684884,53.850228704562454,53.363467584019205,56.1248443278862,58.77278342527175,56.743783092058706,53.02639783190736,52.63994397541317,49.93464879214885,51.846317002268314,52.03300477198669,51.28913603839743,50.89644246726722,47.67821567463647,52.275930060304255,53.96776495444946,55.29206448637949,56.462401340110056,52.3242472333699,57.67148550422867,60.66901008880551,58.11387398194833,59.94559588520337,57.73202607945169,62.924533672918464,61.74121148021208,63.655173217092965,65.23325046778854,62.271600671114655,61.95208395369308,59.5630758711121,59.77498097380885,59.82633541784599,55.1698060852379,55.810734620289026,52.989110833468835,50.51050005249957,52.61194583067192,49.75980991815471,46.77095564500007,48.3242158463694,49.29622164927615,44.59914008190122,43.452004213331236,46.35868442358115,45.50933223076851,40.337848675263444,41.665662423533206,42.857678787079294,38.775718079781996,37.13135917242932,40.57051724137269,42.45773752609576,45.5267380517719,48.84115701848366,49.01767965658027,50.647800025431714,55.95767682336424,57.59301107064429,60.946566595933405,61.20471256433209,60.475404861847814,62.777906914102914,60.51539847192093,65.2517225425887,64.35223164908439,58.93987721843494,61.660113322888265,65.73443808728095,62.060365596645845,60.003450269509315,63.52676266979586,64.1713139664378,59.9311517796053,59.17749080287463,55.36431279800868,56.53174430107953,58.94168584502048,56.90519953592868,57.672976511828224,58.529031172750074,55.590032377698684,53.57265630511177,53.73738044736835,52.33687729572763,48.77299594492553,48.49888419108368,47.991770027088535,44.963662097389424,43.78609520390861,47.62605581791229,45.63114137067032,41.11352100769969,44.42663988315502,47.90640688108123,48.92763695368195,52.275043821434046,52.49270210354329,56.709472392595316,54.74721691876245,50.5439325381274,54.9812344659873,56.53458800101721,53.45576629471608,53.520709124597886,59.27413920784247,57.81787452975368,53.47832608023292,56.730100792936,60.91582688766282,58.74426340985779,55.372197493941954,50.69058665964997,54.36303725948469,50.0362912441918,49.150125899479285,44.66271703560847,44.52143737941312,39.824292802054096,40.48172003697372,43.21273113523717,46.74127551725139,47.802502853014964,48.42150807362546,44.676652036366406,47.29140612151088,42.88302873391134,40.91767616581942,42.99605390517913,43.557674569192606,40.92649673819695,38.83941102917683,38.88625383466095,37.565603152057164,34.522607674506006,33.60867137286506,35.032723917445885,33.75990706431173,32.193361020125494,31.512510225432656,32.24129037005402],[26.790099533024286,29.145446961915617,33.26005760805016,30.61639420110554,35.51210017031308,30.90295181257105,32.27547834380894,33.46740215053771,29.96787541012762,31.94045574998079,31.494988538011047,33.205629848501104,36.468934800099696,33.31717768929872,36.182182323147,39.165662056155305,39.849429993060056,42.97982475546374,45.44504248622576,48.97275485250609,51.612492857818104,55.87902088005103,56.34434417421904,56.197857244113294,54.16128502769875,49.693875713435304,49.004557576847255,45.057600124201436,44.641263134580655,43.69494521620221,43.23991269200536,43.953773735941176,45.25383573074752,48.988869382324346,48.96198271634546,48.258763633046804,48.49821518127054,50.49934893446811,51.49426747497658,57.8172929082021,54.944922575827135,54.18897420773848,58.6148259605912,59.51374169912394,61.27703410902229,61.48637207867929,65.39226761705183,64.0895953294227,61.1648533528901,66.33296343011712,67.80646383875154,68.66479052728305,68.67625015992104,63.17246839266626,65.92866611845056,67.62318813863583,63.77928391504518,62.341671182999825,66.35812957965935,68.09595148234106,63.03499881093364,61.93917490167322,58.79098297395014,60.23459101507182,59.57316766261239,55.995552188438005,51.85193599977071,48.36711425382128,44.95079592729378,41.430326473667456,40.43974457862431,40.66278678031761,42.84441713196925,47.59576586740349,47.211710522106415,52.606259608481984,53.91018997619706,55.653105400375196,56.391453607562866,59.08290123947708,57.601750602719086,58.76473447380791,56.64779586088135,58.81570210251885,55.986395112942354,53.445217939120106,54.3274757309471,53.65626874846064,52.47730325114558,53.185643838617246,49.96514232093796,50.696609515063955,46.85802491543083,44.705377673051515,40.90593101896847,38.815516263254985,35.64033903060145,39.6999175859671,38.109263772149966,38.87750995108052,43.312004334357084,44.01422913609266,47.278208325119486,46.9252091593499,51.78524014415862,47.84688741917274,50.619730643946,51.17043883559306,47.23738939325683,45.7655193277944,41.46123371044575,41.97675230280431,37.54169922977844,39.171994417903015,37.439669999618815,38.60231812546763,40.571073556013076,42.34182667694837,43.846813844015934,41.174928144377255,38.35361229178281,35.948896417865484,36.0129931315403,34.9566300418968,33.49330219814888,37.942414136988255,37.05865105043797,41.42640305822577,44.30222128292376,48.541242531479575,49.326921896290855,53.08754617742564,54.66140318302389,54.23017994675415,51.4542523896991,47.464532442940175,45.9395034223687,44.60044646280425,43.17765146765228,44.99446338293232,46.480164491668866,50.01471611930132,47.61349569773209,46.0256652719513,48.60096134620505,45.78857318644599,43.597300784741755,41.953983125856126,41.95362920691131,37.88111989287247,39.055133366349864,35.48320122698736,38.93570703096461,34.73168942828846,35.62782103070579,38.97928090976434,38.65933073417436,41.36964473053153,42.332318547041865,44.7508948783052,46.29572009531531,47.73272755118555,48.201985577485694,51.904752082714964,53.74303188473637,52.94216985408767,55.49883327243673,58.00461965868172,55.677571658089775,52.09578157159582,51.746800227826654,49.35717520488417,51.53453775495196,51.971665765433656,51.52348320516208,51.20371324711416,48.341350240024376,52.98117002819236,54.50735881518489,55.60737791312627,56.54774291268575,52.091118281505636,57.26975533469475,60.20988063611728,57.704922067670694,59.94799477862819,58.018283790121394,63.11177766675826,61.74174187340099,63.417225359062954,64.73099974254599,61.774232229443285,61.1184490816431,58.560833614859405,58.5730665185038,58.32348257671155,53.57496040665683,54.10772972976205,51.01311399079758,48.782047972802765,50.5499586113017,47.90939636789061,44.949824153615104,46.03069345348232,46.958524981217366,42.38786313422315,40.91842840141918,43.62737557198945,42.95656302573178,37.68167947669603,38.67084622736731,39.786850335358714,35.91401336217261,33.999375561257615,37.10115130125215,39.063956906061236,42.05594191127567,45.33906663844124,45.79157188229403,47.36401166221614,52.72407654298391,54.223530168812154,57.73676856535123,58.288974429909814,57.7724318881497,60.29566205512923,58.326595372383096,63.00378044958453,61.796508045347146,56.52358811102945,59.503163468414265,63.35703411673506,59.542226411278875,57.73893083687387,61.42648375409694,61.71375774880503,57.40801759689748,57.128220513582164,53.14908109898456,54.78414566116065,57.10608439800291,54.92804338438041,55.99101037650086,56.79014026402103,54.17271191330061,51.90489650739375,51.80345406953695,50.73829882607165,47.22208120300482,46.4941082436141,46.008770598379236,43.08777911717479,41.58500492021089,45.22448764840978,43.30475436247241,38.69864916061105,41.65853431739835,45.100510455573804,46.07401523788058,49.62027307479266,50.10089341999526,54.19073561747248,51.88812927526827,47.802461722062326,52.41296585540645,53.64201964433817,50.46594519910071,50.81516396085806,56.445787147432604,54.66481171153789,50.46386599146804,53.97522503889671,57.915342659559364,55.51385172996262,52.228397113471566,47.55273399052122,50.98235330836269,46.62567472340308,45.5648930379927,41.28407021011133,41.41148670097596,36.87198231901376,37.344344927466395,40.28194592590199,43.73889284746187,45.10168187915773,45.818866023071536,42.49783341204542,45.42069910453877,41.27710258920462,39.050498330393566,41.50712756682776,41.88439234458,39.72182574900124,37.38746360398391,36.908393132220844,35.87471907360849,33.28144339728677,31.628502024597566,32.78729212621586,31.929022778894417,30.7493548186026,30.46003869348513,31.491998252637643],[26.5433315438571,28.35989428024636,32.09130746514509,28.635393603334975,33.43985936419929,29.418167820183076,30.462394203400326,32.16904208051079,28.43830786533395,29.78865023256336,29.5598163393946,31.88236883496518,34.42048061788764,30.82481629115242,34.016551526355876,37.07651751019181,37.20094951543558,40.2035602577652,42.17288805914171,45.91364704539434,48.29919897163724,52.5937477288803,52.78822623858533,52.43355683865662,50.600584637050574,46.14601495680581,45.725221623399335,41.95714685809931,41.94517128334232,41.470681501263456,41.1181197183396,42.275804320071806,43.87508642369441,47.34632641150328,47.0853497617811,45.94629706533794,46.46961893485093,47.87160285729391,48.66588656214737,55.06733227936461,51.77235832704112,51.02664772445303,55.484957163654244,56.33230995835912,57.84976990814559,58.07833017362748,61.943610822818435,60.83965003584191,58.068613527081894,63.19830133982376,64.82418213239971,65.89054528000844,65.94694728391852,60.50785786913824,63.41452548336077,64.88800137352648,60.91642071618714,59.757874369567226,63.82694773145959,65.24181069116082,60.095323643473456,59.17105509472189,56.21622291743232,57.29452323599284,56.50924435007978,53.11086860453505,48.72488387436872,45.51990121434141,41.7838313235456,38.57725603830486,37.26291938968589,37.444891638573054,40.021373293788464,44.613759778862715,44.633388262192,50.19780309813166,51.40760255544523,53.525801615262324,54.16178089833845,56.690870556882814,55.47314089435042,56.45683422798214,54.696498246756896,56.60716810520564,53.504338550243105,51.155873114205974,51.81708859061786,51.61406074169108,50.070368275608395,51.27260062601369,47.84560224127658,48.677113426358716,44.97632343321004,43.113218629874765,39.18113815058379,37.31829747970066,33.94431338352702,38.432794819231695,36.9983993419394,38.46028584127747,42.24025320892549,43.2221393981971,45.94980558032332,45.76463214131945,50.311703524608276,46.35950627410747,49.38878274893175,49.664343769581805,45.768470173902585,44.52286099933479,40.02608083491933,40.10236337936245,35.61641459791273,36.69895131869402,34.77989692590322,35.50147303685368,37.37644944134388,38.72535922404096,40.200646148370964,37.940268358215214,34.91637652319907,32.74511084936626,32.512321461876596,31.81342470002818,30.804854826874493,35.258039090016865,35.1015860629327,39.25278145233411,42.312100455265494,46.607688254956514,47.21188104072181,51.206697536048544,52.410130453139814,52.22761284881074,49.01491963811398,44.94449005434644,43.30554608849499,41.57075932835909,39.820792474365135,41.79745919402391,42.762639054448755,46.25829470027018,44.06472658621088,42.70883933175638,45.465529735379214,42.97352772106174,40.75518038861169,39.564776065808296,39.908353693681356,36.11737393793463,37.82017406658331,34.64439913561526,38.62319610718271,35.03916854583821,35.52602766696088,38.44069424265847,37.55591689926538,40.269053611698055,40.7478923952859,43.07701095091304,44.00284009581859,45.290173562015724,45.29347628390175,49.14805330656112,50.841245813748515,49.65053574862346,52.47125305193152,54.74100152765814,52.543816423561644,48.85467434270262,48.78362296770486,46.36914186128351,48.85724986984899,49.53340472323452,49.29502538446122,49.37109931362552,46.471760277794004,51.4068280634123,52.4842205014347,53.75151567223957,54.26332582853419,50.09472015192191,55.11940116674042,57.8793097585364,55.17749422454152,57.238585218983786,55.15332465132536,60.1768397505022,58.4656144272216,60.37989167374745,61.676910407559426,58.93125928333433,58.3502578451839,55.93214996787136,56.11976503694595,56.004630046216135,51.258586084254446,52.160464797703284,49.231188769919676,47.2607853497456,49.381538339299986,47.02453950911317,43.75656055253209,44.809136446198785,46.22864701402694,41.68982932952248,39.66796068460528,42.82966352951605,42.780082994734876,37.134014130155684,38.06758997067596,39.68914249679884,35.970585129274085,33.57210821863214,36.8808405915234,38.40373460723636,42.032179042152386,44.453118744348345,45.09256462796928,47.095344286119584,52.373088201808805,54.28841128601558,57.51673023838432,58.20726870342503,57.432883617698444,59.96403896009888,57.85475008351879,62.3645625651006,61.127835450894985,55.61786069525116,58.52444595901231,62.22782881979113,58.26935376218904,56.33813722998022,59.8773646475714,60.02090452699899,55.687382770123236,55.16501793548085,51.55220622375547,53.34846405051201,55.94181191317705,54.16992128295276,55.432405025017374,56.68083037769334,53.91715228471921,51.3421408843591,51.755157442954406,50.91821381934452,47.04313491101267,46.33677006472886,46.39249671322274,43.555857138020336,41.72828150671043,45.68806596848406,44.15839009781336,39.42766794856381,42.17954337160464,45.82617562041006,46.393147768022594,49.88898307591055,50.06597603860196,54.100589951635634,51.90888828607243,47.434736723319844,51.88251562297509,53.126360870413656,49.852116531294214,49.79581649354309,55.52359954336409,53.70320227494619,49.20330515442845,52.521320089395395,56.60796979073468,54.12195445770712,50.635251121965176,45.88672905982693,49.21086590761607,44.70435652414345,44.20425159583393,39.68521700834678,40.08728358389682,35.56992682883706,35.52732755478581,38.33438119249987,41.635626757289096,42.96814451671437,44.11366421373125,40.63232142290417,43.65921508591873,39.34514225670659,37.68115506146773,40.5774473970568,41.40378494304038,39.34232690308347,36.494393837943704,36.43224523897808,35.91280703094171,32.73671493291068,30.95422717723489,32.876671681341314,32.50270116536338,31.223241427943112,31.042180106007358,31.953705593510904],[24.242613537299505,26.347291831511097,30.54319880935875,27.61334526986178,32.91792831757651,29.30045502363302,31.041367642909574,33.02336769985427,29.88743438596325,31.784580693045594,32.05387830092343,34.22242733752583,36.74507924623921,33.49716051849538,37.08934521008578,39.934353458525635,39.90484433322782,43.27608260373162,45.35735281368444,48.899030567057885,51.46608784324438,55.6352530391962,55.93230461571871,55.3757343554998,53.35973059475507,48.97272918619348,48.27485771055494,44.46212559075554,44.63162878194599,44.036478361109715,44.387253982448414,45.021411750131655,46.902065534277405,50.612971810958435,50.05214467206256,48.906547228436324,49.00378130707211,50.4221075299187,50.97135160907478,57.252468777682246,53.96662730884106,53.67956843316954,58.190022163160414,58.760281129958315,60.17974817030071,60.06492465452636,64.0228103800698,63.14656629323903,60.058918161006424,65.01305291667956,66.93474297372315,67.8733974724481,68.22064851516178,62.71176424896118,65.80659412299752,67.46440238576598,63.59271383080509,62.50043893775293,66.70407160330242,68.14739392392269,63.130464520943804,62.50933683342713,59.6450708094883,60.886179116505645,59.82446268212302,56.321093508304266,52.20532233786852,48.96432408052173,45.37519045418393,42.23509112178657,40.98903704977129,41.514847761241604,44.02792241749407,48.55257349882376,48.36255079950831,54.1040759531748,54.92998427382941,57.087826389733515,57.42547181351321,59.73754089873747,58.20671857851261,58.87391186616394,56.83287708290399,58.478263140241346,55.435402851956255,53.35008318353883,54.42245530518027,54.25505216874693,53.11742612450705,54.5358381415505,51.33155811870588,52.51274956788387,48.740815972928544,46.67843282777589,42.54454153422647,40.932403004847814,37.33824874841192,41.405482510785916,39.56952119758163,40.57975787748327,44.51560597476883,44.7966516555701,47.805036169076686,46.972369749656195,51.306158032890956,47.02789599774818,49.67211693188118,49.70246308491846,45.56719870460073,44.63165428997669,40.113425553861376,40.775099839663916,36.54398051697342,37.85125590061575,36.6057115999566,37.28086860868794,39.62116008606561,40.88174956389588,43.0120687838141,40.83482691129201,37.71768589047958,35.292136576070554,34.531087727731176,33.46872359537617,32.050555131684824,36.02565014445481,35.24286329353726,39.59549025362545,42.4053816821871,46.95021768317807,47.04422069553545,51.01108735174748,52.50173093306585,52.631306970289046,49.39567945431342,45.55630744634019,43.38371856151612,42.182675417443555,40.71915659700276,43.021133762005306,44.22990832188894,48.09668538643226,46.17650996257775,44.563125121297574,47.444655944739836,45.10389005136943,42.630634448096984,41.37061919862912,41.339149317539565,37.504417452674616,38.76874692487431,35.833560245702465,39.6304225702553,36.03720920518161,37.16907513051474,40.07494596148297,39.3617393580537,41.631699769481386,42.56514244336443,44.286157230128296,45.298794258050435,47.13307982625858,46.85772579399351,50.8993851515446,52.175746048096364,50.75887220116593,53.26614082113751,55.42433448018761,52.879158910347186,49.39520758332136,49.297434976643665,47.25991106276022,49.93182706418176,50.80470170987551,50.8214548768049,50.862880227096845,48.36501462623385,53.21326334868075,54.24182193908163,55.222214410678,55.60775958794533,51.060165226553096,55.90697664011747,58.63517591045075,56.057466234944094,58.591316605998635,56.86063760160835,61.7670297707824,59.95506463251019,61.54022704325494,62.55025229395304,59.76961365889266,58.80960194155557,56.18737317146286,56.1088771977859,55.6216719229244,50.80306046106542,51.48379957546535,48.22065528999096,46.484281843801,48.11786000251293,45.95050094001384,42.822618600347006,43.32368192480783,44.56104230314682,40.20272356724522,37.94723114611453,40.73753805988429,40.755572196046536,35.13010575486956,35.64962607737132,37.04920466651575,33.59405840979546,30.991529353860297,33.79028245864807,35.489687302249564,38.86159226280278,41.41764162450302,42.35796912498778,44.18071399578783,49.5118592672489,51.16210314417935,54.63561937137308,55.63472476858944,55.17615989224669,57.94829958454329,56.219138676311715,60.683024434000686,59.10774534490983,53.84129300232822,57.0498937825469,60.52277876620396,56.45288516829155,54.85622460853038,58.60296261233112,58.370661642099506,53.98564847186146,54.07885327769418,50.203300613817326,52.48476863892976,54.892391335364174,52.86854536211461,54.40264173079854,55.462167569294294,53.11033387159486,50.35797003923008,50.33714400502943,49.81951319009022,46.124645722258784,44.91009215788339,44.85229881111982,42.1436779428233,40.047295087059574,43.65791425125772,42.13252976139897,37.38199513791913,39.73939225001097,43.25917669029844,43.86300596723676,47.580575189096365,48.1363554677807,52.013256833933575,49.40948547523927,45.19522219532216,49.858022988112815,50.7099870196662,47.359908980149235,47.73966232588776,53.27028965327064,51.07823025347047,46.83547288867199,50.495786342898654,54.236380678612036,51.49969008343222,48.18027293598874,43.47418378325073,46.50202617650633,42.00154456086149,41.16484931677977,36.98193312778825,37.667160807185944,33.38049517018213,33.20961684015489,36.28849173266363,39.51154863483997,41.219294674772854,42.37910131681882,39.47045456066468,42.809787694929526,38.885034065963424,36.803476188028064,39.98822257343498,40.48283482367744,38.94369426290861,35.99266759388975,35.22679643517439,34.91815038379396,32.4496252014512,29.886793489365314,31.283446161063992,31.282097251328928,30.48830934825529,30.708676422243048,31.952017733671155],[20.520070156669824,22.784936143651148,27.04757284093761,24.498417973166156,29.748071766393267,25.738798439745523,27.66081243945982,29.429948599901454,26.519255326884664,28.8393606268872,29.18918800192259,31.059109934233387,33.83738680450045,30.96521961475775,34.569925789413766,37.25764028026591,37.444110135460264,41.04791021730991,43.51617711931354,46.79844050534089,49.636939353436034,53.7172273902491,54.28750210184193,53.829030150091434,51.54794704695648,47.182329367087405,46.159735893200086,42.20557506966251,42.17627279252348,41.277249795548855,41.92626034766821,42.10808843224902,44.03348679784091,47.950938841949785,47.3074782877779,46.353034624180964,46.12733119013946,47.85757944183494,48.44711446391818,54.63042497165582,51.64967608245718,51.50506222927763,56.00240900998215,56.51272115011411,58.09971771841544,57.88347598350769,61.894700293294534,60.9121427586479,57.62611881610324,62.5713373866067,64.44442576358811,65.21213520194516,65.60810359733257,60.045276557655264,63.10625569227172,64.95154816392358,61.198972876387884,59.96573648446533,64.1912253516329,65.83845501901939,60.94389408398691,60.378422324258395,57.46019432892555,59.02722881269307,57.877505340737095,54.200862898208584,50.41475174070276,46.971402324060506,43.69627090026756,40.4022838099965,39.42373836446246,40.26012198349159,42.43917374301172,46.992474100595,46.40646408147493,52.178861839759364,52.77422665522624,54.776552993014995,54.974338338023564,57.24411123529486,55.440557736466516,56.069049352545136,53.7629515621204,55.45849576077554,52.58461405040379,50.469821261348365,51.80498331378478,51.41764310488653,50.64412753211775,51.956671060952566,48.98117895028711,50.36741228207958,46.50324005483905,44.21098240932142,40.00014490332032,38.503272124346985,34.8344716070473,38.49921679381226,36.42312258430124,37.085997004675484,41.208235221686905,41.17072126817417,44.4159544081236,43.363827725961315,47.77628638965192,43.47435118118238,45.983702057587806,46.138960148185696,41.99703073858876,40.94684076009067,36.51544023047322,37.415958178721326,33.24186256004995,34.890493828312806,33.88259264694424,34.85550467517232,37.36958324895531,38.957702538882174,41.31767748675096,38.8404352430394,35.854901701812715,33.159620548030524,32.49624663752207,31.070907779708843,29.26355942515219,33.18863026751542,31.929552411538513,36.403202655413544,39.10744790565778,43.60799930095033,43.842623668129306,47.66671643377811,49.36150812314273,49.3249274590497,46.36623020519834,42.58124896999847,40.527972499351144,39.60310212598657,38.42387239056166,40.58607354759018,42.29010755361501,46.22606169634329,44.16553171387443,42.302023233742716,45.05806143080068,42.532998523052534,40.02118581081913,38.46495917817313,38.16587488012356,34.19378243021274,35.154194216076796,32.14112091976793,35.75858818702579,32.09008588543084,33.4597667775206,36.421136070071306,35.90794691838999,38.04648094584393,39.27193087606359,40.887054920385545,42.23048544071628,44.25208746802248,44.22562811247725,48.18659278309384,49.496891450694605,48.3819162698638,50.65814186488547,53.018652204129744,50.39240761476379,46.991464200928874,46.65437769053359,44.631160138310186,47.07599747584424,47.811250775723856,47.74600096907765,47.57923599521635,45.20003591178647,49.89164998466088,51.10391829343315,51.93851940693535,52.52414674400667,47.77835890731189,52.69335325006319,55.52677930032547,53.08190748574529,55.774713398528135,54.20517049901264,59.13608962150398,57.57794197848886,58.94199347112543,59.95617512680073,57.01348506575567,56.00628452217044,53.29584546879271,53.11660510101918,52.59061481622421,47.78573174259626,48.254085122941454,44.96046260451458,43.0144330791917,44.563696216378034,42.2149022201175,39.20461200855811,39.85600103391962,40.89902453316341,36.46940649891105,34.569090812950066,37.2530491353002,36.96948570234834,31.477124212628002,32.198009853815336,33.476479961280425,29.8357333488143,27.52222078410452,30.52005010892597,32.344988496881456,35.566351818328194,38.50888899737155,39.13978951314692,40.84766225556237,46.19642148893913,47.83091520180798,51.281466284110735,52.06185391139471,51.56729596822331,54.24725136395002,52.4515698441772,57.00468111672288,55.556593443972325,50.31114870674557,53.464373735523935,57.09187350640081,53.14205644088458,51.500761978777085,55.27588967464898,55.265582062591356,50.91688184226001,50.96229886816083,46.92193378743895,48.986627523321374,51.292249919791395,49.132515098160326,50.53401418085654,51.475143914337664,49.10891631856143,46.48046818450918,46.363025414381895,45.731068436984096,42.106460635580554,40.96358251950055,40.781631494204795,38.02810449882267,36.05845514562451,39.68656823433433,38.081318825689245,33.347339095054586,35.88509942904051,39.416829308276874,40.10977626339559,43.76083677624568,44.28378956875652,48.23749451068375,45.75224357202934,41.57424171860169,46.23268080596784,47.24262940551146,43.97236719819842,44.37057151626347,49.94135353574634,47.964358561978486,43.76456744778891,47.385297106916404,51.20619951014744,48.67705243341694,45.40516438048379,40.727803890403024,44.05456039568555,39.69006281538821,38.61355483138282,34.372501379034524,34.65975285879836,30.229174169032287,30.53077122170772,33.560678576832466,36.96640507287487,38.49380105123334,39.308931327274585,36.30550830716964,39.49717485749291,35.60668673090798,33.263583617751756,36.19852131358925,36.556125435338224,34.94665840923262,32.177699305876224,31.333449893196203,30.834298648286754,28.499755804571517,26.037117976751645,27.2698891238161,27.101404034047157,26.304409582586203,26.529720033633865,27.85415754234024],[22.314695588559196,24.28500400831602,28.074490066914823,25.061329533088998,29.818426005764106,25.33089639820784,26.598430404032413,28.056328778731093,24.56538870187899,26.47080557292603,26.348233652963202,28.311093051997588,31.205871567874706,28.061979448548776,31.31701014502096,34.19634977866316,34.588201436036634,37.92301548321794,40.39237905399569,43.81416682912308,46.5554919786034,50.74393989445309,51.27977694181496,51.02367203615141,48.85126346957887,44.41567294675099,43.57576679372999,39.61585222422634,39.36927012660104,38.50745858223377,38.559356024134324,39.129489914056805,40.80355560780819,44.568305592352836,44.190011002159004,43.28509806266718,43.38693422664127,45.18307257871606,46.013287852171224,52.310711446260605,49.37316899713504,48.83030403957844,53.29165194721965,54.05084979313215,55.76420418700384,55.84332148275468,59.78950805950701,58.57668536272163,55.53434940971768,60.65113895024827,62.24891414338914,63.10064280616865,63.23926864680386,57.715829496547066,60.598890883510116,62.31979354238375,58.49362626086823,57.16337512968781,61.2794070284493,62.949423386033764,57.94582864929233,57.1070180750448,54.08371757685435,55.57416126054598,54.660192651637814,51.03202897034409,47.0547665360048,43.583552369366174,40.233312645601366,36.82059441390851,35.84138077579033,36.441345222963164,38.604371779144245,43.25183657718695,42.75755173322016,48.39782247125275,49.30033436775395,51.233937893291255,51.68130687381625,54.15484536542124,52.57719997825803,53.498307977455056,51.38995765322719,53.350931192480104,50.448062509180566,48.0719393963927,49.082319841932026,48.609253647261475,47.5336749653193,48.61945560061342,45.47612254727593,46.58801424720133,42.74638119016522,40.56808117384702,36.50321973845191,34.778948113779,31.27141567919116,35.26980856622683,33.50565756989873,34.524662894301635,38.57905594794425,39.14858545533597,42.19751907315122,41.71697120297693,46.37046956608646,42.3598873495072,45.2179065879659,45.63266974024222,41.71087313705667,40.33749235703299,35.93494170752903,36.3168450875787,31.885825018885775,33.39620792475679,31.782603402155146,32.8727740101396,34.99885066262837,36.749481629012124,38.563012431717304,35.92667573421332,33.040692642971266,30.50089129387255,30.355954801463902,29.186545857240834,27.677839495751304,32.07965413883043,31.334511225798558,35.65195403698697,38.583803010225175,42.84860461801293,43.59105365736435,47.42166672056999,48.884411433352376,48.52617114189673,45.632436032468306,41.631514926295374,40.09664056217862,38.713422260207906,37.31283164382514,39.153030825045136,40.72890720954043,44.34981063864598,42.00230671198092,40.32004463988407,42.945276954530186,40.227853771169464,37.93616179581785,36.37296640759506,36.374968999732005,32.390065630293684,33.719176733235614,30.426256287586543,34.20386332986753,30.485362824573908,31.28347813329167,34.2995154591473,33.666111029539756,36.22676370532257,37.08442677395545,39.275594890111115,40.61127902055451,42.161007103241936,42.448842124668296,46.23319205654798,47.94538948273221,47.0910394936958,49.6227777469469,52.12705638663008,49.80167862443774,46.21704160218737,45.864007904367895,43.487293054400816,45.725235402418285,46.2510007041726,45.92792332128957,45.74948581333792,43.00248919624338,47.76114958326699,49.06559834910351,50.14524040284538,50.893284827905674,46.4497697934625,51.557954178101745,54.445983651204685,51.90552048701011,54.1940272806777,52.32282628015549,57.37980280995065,55.95661964667292,57.58417936122732,58.86403206775398,55.92048005295259,55.25309278727637,52.713290639604075,52.76383265271241,52.574245024597786,47.835766043305846,48.47891580730045,45.49222029430599,43.29235465548203,45.28718395149545,42.73064426789403,39.60692153829704,40.80508721596148,41.98968900494235,37.383766750985146,35.76139827353162,38.77724569728337,38.38677570222632,32.91261105083434,34.05295480018426,35.51958132310938,31.621692620636555,29.554444723030528,33.03958129080466,34.702304797506066,38.12977631281084,40.97580995030976,41.29274365173134,43.14722332701144,48.43250754207312,50.31104692684352,53.52039403115447,53.982869047972265,53.19651311534226,55.637402700974114,53.48226609217148,58.08809212983397,56.973028741461604,51.51143488751586,54.37412102801412,58.235943314841656,54.40859395259403,52.453034636334216,56.03828452664896,56.40663268503548,52.11472742122734,51.58578850655726,47.76592560025808,49.344103772213636,51.805213279849426,49.85904481617181,50.981996219229075,52.07798567597136,49.32138439973654,46.88444856765611,47.158047535491924,46.201241727765584,42.42033157406631,41.77788343197442,41.67783399310804,38.79653533316669,37.11544766707188,41.06846034025351,39.44528995031283,34.74929597476619,37.685814532393536,41.32264192671487,41.99572898357446,45.41997490317024,45.5841569711566,49.69159203431371,47.609979167126134,43.20675741578499,47.65450382302308,49.048233088813866,45.86654084062886,45.86165452860599,51.61084204124498,50.00582006018543,45.583649957555316,48.87760747333756,53.0205483889899,50.74898921272303,47.33564302159685,42.630621664936115,46.251762403705634,41.902448999337096,41.119535481788915,36.57602882618359,36.55862275230348,31.91003984927792,32.381714354769485,35.14165907382828,38.633522075886674,39.79022488914886,40.54783508457965,36.994210481963165,39.86781147126375,35.60802107398745,33.623203829698404,36.236432870075866,36.89042849606575,34.75473643080324,32.1213611376518,31.954841192866198,31.21152453219389,28.19330489473166,26.535408996552622,28.261993052475468,27.686702550633537,26.390311411345028,26.197999909498577,27.197234448349104],[24.062394697253133,26.377484152762293,30.217837489736123,27.832830597238065,32.29824823881723,27.06374435214447,28.249310137114605,28.948081539797318,25.432934430250803,27.664010200248185,27.010059022979505,28.34415434583943,32.009278562029266,29.206616714808426,31.825021148560154,34.70499925772256,35.78393757302028,39.016031422393496,41.928624960109595,45.19994727105818,48.092780291775945,52.28821804187442,53.051356804092656,53.120921502381506,50.846304495659496,46.39618455345621,45.42982706998934,41.34414425432318,40.5715860494131,39.27874587804217,38.83704510086972,39.20828507857918,40.39671814947246,44.295115774862985,44.32672377559409,43.89560976548204,43.92463259616846,46.334252882353844,47.503375846495466,53.73932936168084,51.257566886504854,50.463271223933745,54.833672538896025,55.788574944958484,57.79836154288371,58.038688080766384,61.95373776761388,60.422687587215655,57.407508572497534,62.62799065732778,63.90425009613447,64.60498315483035,64.54236621387898,59.013967848756074,61.62296456824944,63.46936094801848,59.741631173077735,58.08875254800711,62.06334257448765,64.05032363929692,59.089598574612445,57.91908610752518,54.662522460653726,56.44564237771607,55.806459791515344,52.064343301541825,48.22903176166218,44.50495611950118,41.44510397219807,37.695388067621444,37.03823845395258,37.500051391382065,39.251307094066604,44.06522880833607,43.251573527261584,48.59057886159547,49.77931466265357,51.28831368336044,51.993456426347976,54.738196532797545,53.05723716943608,54.33026913609335,52.012600678396325,54.375459637351504,51.746100596700416,49.03830778867031,50.05257448591878,49.06947642989463,48.16970163237198,48.61403139450137,45.58970134650846,46.413681967821304,42.48106275410779,40.10812555197747,36.31814275888736,34.22834058896305,31.08614335642958,34.80845005879393,33.111773113683576,33.62116141312192,38.26821496175505,38.93067932087849,42.37355089963593,42.08400382046336,47.154250148153274,43.37546012894253,46.159389128431975,46.99691283486454,43.20746315252259,41.43255568389415,37.29766986757494,37.80709693960286,33.35047651354052,35.29472954163605,33.525599379187184,35.09199670475066,37.02657701147004,39.24284058112127,40.71056945781009,37.62785636903928,35.04702614830816,32.4433204123268,32.90613190430865,31.58834860446372,29.8622466698483,34.43847072964664,33.29098362172044,37.655696417169445,40.49733560221692,44.5144153150788,45.72326249611358,49.292131320172935,50.96691693159471,50.18014867625998,47.77743723504031,43.77249604310145,42.66733649653758,41.41594160251224,40.2136472945164,41.689069565679425,43.65002281413889,47.07402919334291,44.388511050112285,42.62231399170055,44.96227167181502,41.85255205368426,39.756540952020025,37.76936079186381,37.61521426507264,33.40587891158587,34.39648941550954,30.572262184418992,33.83950710399451,29.480140138619568,30.33496685200933,33.810945046453234,33.70073691243978,36.488071056158624,37.59987265357416,40.21141446911084,42.14266454781989,43.53063549302307,44.46042846222838,47.94853146158742,50.025979123222484,49.70620720666717,52.114151703173995,54.902222657926224,52.650248998001075,49.09515035373585,48.47503177628657,45.94135463608063,47.733758927038956,47.895794361010644,47.21351944214862,46.63842660238106,43.72794212207812,48.18801037970227,49.98474199591097,51.03993359448556,52.301303813389914,47.79952080693384,53.129144274023616,56.20238548911012,53.815032367806275,56.01877428614293,54.12867822389243,59.29026650214961,58.27875677781213,59.82874992335462,61.27531133516238,58.14753588303533,57.6180584712921,55.064828075418816,55.08034301120818,54.95901861032547,50.29607448164074,50.67638364803402,47.73073652104287,45.152488525608824,47.03816210487319,44.10354123411715,41.25277527254571,42.77827497747308,43.5475163501908,38.85416063913889,37.95518197893451,40.67718134749586,39.614727796237744,34.58100290428877,35.99480906460254,37.05178570915427,32.89737966002919,31.477090802138413,34.980276223585825,36.96583213815466,39.85714637828201,43.46304503211256,43.42500701814335,44.9314972899043,50.22964056626352,51.829832840364105,55.16715278304881,55.311799316924215,54.60912308906205,56.890962516214394,54.67234852172961,59.449274363681894,58.56252119804183,53.23616568842321,55.9848755207118,60.10736196602297,56.510132261862495,54.51083196183631,58.10856425878532,58.828519071599516,54.61994942661945,54.00210180996371,49.98309468251387,51.112385299978406,53.381225573712136,51.1744428107772,51.93025628725048,52.66536346548796,49.838883703782805,47.83773123039547,47.82825592848542,46.456137019163414,42.970515331298174,42.60711769223087,42.01352454635962,38.99245323274756,37.825051153414975,41.61559069857382,39.60207519278266,35.09184036473209,38.445891146489494,41.91581772014403,42.975432605943055,46.29550889074853,46.54858766273308,50.77510966123713,48.83226333660174,44.708162190249055,49.16407191155816,50.75505972409274,47.73885665903343,47.90058817552218,53.619659854586125,52.27281161108181,48.04135653977059,51.316366961041,55.47484557482836,53.44058960723167,50.16078543645788,45.5434476956079,49.3969052195024,45.225641753048485,44.078181283511604,39.63836172921739,39.19834719268766,34.46914313505138,35.515014150160255,38.224489868771734,41.8684745417821,42.845549689955774,43.15542874062464,39.494468181659606,42.05358294792763,37.80668960516837,35.49935756724904,37.44743859314401,37.81106893500745,35.28517147716611,33.2995738398476,33.10204609294033,31.695591140121035,28.934867317769324,27.915434082264287,29.099016356948795,27.788754926635974,26.322965071440237,25.764100792378553,26.673647168973908],[27.66558023041811,29.53772899750678,32.966859525097625,29.773683112319034,33.96236837802853,28.995711229109297,29.53947657946931,30.403432783551043,26.32600955975775,27.675616072104376,26.71028494096826,28.556692180942452,31.775129139460365,28.360177892694477,30.773464719222886,33.920313954613235,34.78236197243691,37.555735303719594,39.99107794706762,43.61846742062046,46.13465562751601,50.47293177605285,50.91766376740373,51.009221173299125,49.080742128244935,44.58499532220401,44.088619046247345,40.18796216952019,39.54349208025121,38.685385551102826,37.59357056815435,38.775564161188626,39.83619475715451,43.328050109834436,43.54576659242831,42.85419525750518,43.47623356431861,45.471929273486396,46.71387383303413,53.0993441954291,50.29453837049275,49.111897028685675,53.45667057970806,54.614899728523994,56.50915160367114,57.04267057376262,60.844579755866526,59.291913269808724,56.66037763200106,61.979539255793455,63.138200717085745,64.09322195190656,63.82417047051564,58.4035755653928,60.95507876494501,62.48733939023807,58.58471206165266,57.06843799936097,60.94805575977829,62.68418801960855,57.54038267787495,56.181101297720886,52.95907927734502,54.31139116024334,53.88176014884227,50.3794535555203,46.08296561237905,42.599790499489664,39.148508119010366,35.54414009670764,34.57769580477095,34.57747712116073,36.69462223477735,41.49283073760487,41.20172651650576,46.441164628823785,48.019984433604094,49.71697380259672,50.68634459069594,53.551120763683976,52.34530490498889,53.79504678530868,51.95595857467574,54.369766171790324,51.508502104088244,48.71682628714839,49.215460323403754,48.50445625853895,46.97714171221756,47.4975880665937,44.10694370932276,44.57896436241563,40.80513692734923,38.82585095536608,35.19844269874366,32.92792186499911,29.94418746157384,34.37388623307532,33.188854026093374,34.49841554183659,38.636863196753204,40.071107667609795,42.959784481087745,43.290504001022136,48.307319116430754,44.75636693285583,47.94006837099822,48.744911216577115,45.12594795978652,43.33085421137312,39.09952900076358,38.94635017429011,34.30474005619291,35.69109184393331,33.290893774293934,34.55262171878099,36.03222211934063,37.97407310979648,38.84209638914805,36.01490348306478,33.370502553575,31.191489067559367,31.864110092335377,31.12185069452801,30.054425068201297,34.92744895405839,34.70761305008173,38.782540057108854,41.8920005299868,45.79517899653859,47.15444481104864,50.90249665378469,52.14573084757097,51.3603568641155,48.65628826767755,44.46050104194127,43.569760664541406,41.70001727249698,40.052406382428416,41.45079753574652,42.79396783893062,45.91070885741621,43.20016201863157,41.83226799888151,44.214384879381306,41.231300668354194,39.32758482057309,37.729296002945375,38.105592822759796,34.13800960153942,35.788323347342924,32.05314696482439,35.72800034805139,31.731829763143363,31.835575518907877,35.0688525492428,34.49892113791246,37.63855533747441,38.08212060637304,41.10523079225333,42.54593453422913,43.407956337627,44.20772115678749,47.662181824708426,49.93294277517022,49.45046176879507,52.27432209862182,54.929802816560944,52.989311093915745,49.23036197900491,48.861472709950554,46.084127451285354,47.996365891685265,48.198288471468615,47.47761070734724,47.19472525287062,43.9473293824056,48.64916595684719,50.19998237745137,51.58679609843958,52.651406808426,48.626230917479816,53.95558250001625,56.9152712679413,54.30731044480268,56.04840533740866,53.78387621101881,58.9738585420166,57.76604836621118,59.73286369850012,61.35019332641917,58.418610803092655,58.17975389139053,55.85830364266555,56.158673173338194,56.32915603387336,51.7064291397893,52.47463776178515,49.80286841692983,47.31698508041878,49.657958084489835,46.84131738632222,43.72761242959104,45.4519621257862,46.62621700432032,41.89840735232869,40.69173557460174,43.84793506709522,43.18038084030874,37.905230105087654,39.38262863023563,40.828088155664965,36.7175137445968,35.01356204956654,38.73619161496654,40.39536509660385,43.766164338953494,46.750721889306924,46.81153104824655,48.647711934730204,53.88345566970073,55.800560115467015,58.91254641169532,59.07339820673005,58.12119308997233,60.327607031872745,57.88519959703013,62.56878897820286,61.78392323169753,56.220905433040706,58.80440658694693,62.907692577822516,59.24902508802066,57.04043930086466,60.448907031239585,61.19984947682823,56.98984559400458,55.962405559544464,52.32520838875231,53.366757837392385,55.90087284900971,54.075966617290696,54.83241805414997,55.91951154191828,52.81772818623399,50.727600994857575,51.22170285261718,49.837503106546194,46.07710011736862,45.95802110738257,45.72336390665633,42.70839135785007,41.47227387500595,45.55649555641863,43.757341572099776,39.20578134059902,42.55179615955873,46.160374989926,46.97954024862571,50.20344734320311,50.153793297751626,54.393580675161424,52.643459962909084,48.207353301309716,52.486719694172436,54.20063602239513,51.137436401937755,50.89996329910457,56.74186080368034,55.4534405505022,50.94225793112986,53.98566210424256,58.342920757609626,56.291562139630834,52.81773899168126,48.127336874352004,51.93537556781459,47.621551813515495,46.986150582561706,42.30570539898308,42.05158256128189,37.287286064150074,37.93507692032683,40.48909172382501,44.01905413908727,44.887088082304885,45.54633162133174,41.569701832546784,44.08022969181553,39.53792492240332,37.84036179270402,39.94994664897464,40.75975118801969,38.04557188936678,35.80207101281641,36.20058626180487,35.02857664787801,31.578641456771095,30.851173356680647,32.719215171469365,31.557464682026918,29.821684080085433,29.10707214703067,29.71898613745976],[27.531734313429663,29.62643132132536,32.96086271877112,30.500311915499037,34.27595445984246,28.526017865120505,29.0103844673188,29.020819005814722,25.091141845620623,26.93724886261657,25.52083488823585,26.535234348825103,30.604450534419023,27.81883325274081,29.588473615562812,32.58490395783877,34.23108121467614,37.03906978466089,40.13337563069107,43.39573977269036,46.22357056754482,50.46713101631408,51.30849532959327,51.75088524623518,49.5572259327695,45.10558839608071,44.26922013177596,40.1980353544042,38.94416766046398,37.490453431033615,36.149420718239135,36.82385784853473,37.44372633811715,41.1817689358235,41.72425114480741,41.61005434641095,41.943524631185284,44.69724679352376,46.26434725073272,52.48561476017991,50.31182786861328,49.01049917715269,53.23667995586001,54.52465033249219,56.78546523118397,57.38874114603771,61.18009217816517,59.281988840666536,56.55331457420032,61.93298302271557,62.769335132757355,63.473001401747794,63.0568246513633,57.619470974651605,59.886566577991424,61.650404218085704,57.936642060300365,56.04035913383861,59.78991200168532,61.94423104186553,56.946851381876,55.33796007488026,51.88502812296488,53.73124514352209,53.48329287263852,49.77399561783039,45.87958043532569,42.04783798025071,39.13554937898478,35.15106891155788,34.70255718501604,34.831162182542926,36.27264954321167,41.19493659911806,40.302788577096635,45.25246935584705,46.90602603017146,48.0920947047705,49.189848230797494,52.2566896160083,50.776264019319534,52.51436526209812,50.32698002222129,53.12834605672183,50.63962520610636,47.54266346630584,48.21158710752499,46.89012229415672,45.78186250407196,45.63559609493098,42.53918654202248,42.897282646357844,38.99190418875967,36.670173443940826,33.276755972108155,30.75798382948303,28.108195618144215,31.945580572304856,30.690978634207752,31.31164588386269,36.07869466980503,37.436692601231535,40.789795879355516,41.20009466992451,46.61312576478502,43.30849829865333,46.34931129903164,47.61177755093744,44.164123247863294,41.94204134556896,38.05646911389099,38.106609450764374,33.529022448444024,35.477258853489694,33.10152606715199,34.967614527776036,36.366692093187694,38.92060648527671,39.64279218077256,36.240026142811566,34.003831360097756,31.611293736202498,32.878048890541386,31.778208770841957,30.301306961011218,35.227686396668624,34.41684907481642,38.52251688022149,41.467620749178636,45.064073842478,46.935248573419805,50.33799618779919,51.85802310272623,50.585425082662326,48.50439416627039,44.36763617342595,43.95877781445371,42.37238671084007,41.08728375998439,42.05775021677074,44.042242193784716,47.00691328803358,43.93242624538962,42.33523049341234,44.35481044319993,40.92409276499494,39.19615807452463,37.04227771774281,37.11786543408454,32.92023842914057,34.08873181247089,29.8581453904846,32.92460629272431,28.361060379055704,28.557004412382845,32.213437341470595,32.24637634653364,35.51352357181191,36.333630291704736,39.67932492178631,41.84173556403041,42.65013227320139,44.18696286630205,47.290405247722404,49.9005523251237,50.08974695704056,52.64253058646287,55.65767803754231,53.75056939474435,50.09191794984852,49.34627096138269,46.455027547693184,47.80901678163509,47.59210121479942,46.49383961582154,45.72580728429467,42.413799320767254,46.71328642585657,48.8181501509193,50.093557358409015,51.74324164980584,47.58700505206856,53.12369042784069,56.29365299804613,53.91527981876623,55.65614430530739,53.48698655289609,58.7574974136368,58.084213740939624,59.83258843136449,61.59597029393027,58.416931154449586,58.2831881404245,55.918949640339,56.137660831211534,56.36324395663777,51.85554737930941,52.28217913840565,49.679942881821326,46.756111052517774,48.98133333818797,45.75312921573498,42.96085820113154,45.08524991896852,45.81258109615806,41.01792787893522,40.654666492046225,43.50984684721504,42.13119470874463,37.3819494389086,39.21926685307306,40.281210125436715,35.914641544663745,34.94686119755334,38.78452107464765,40.70246639659083,43.55278702216463,47.279167843925,46.84951489976809,48.34668418109129,53.53247769266806,55.240218155688616,58.372547137971566,58.10765969959084,57.16929425029956,59.1415367035727,56.58150372735404,61.42542476105243,60.949624975573364,55.52906900623111,57.92962100951489,62.334349972582395,58.97521812504324,56.68861627983232,60.07740615744381,61.2822505955492,57.19906429702465,56.02603019714507,52.178626156273204,52.659572292334346,54.967155597045085,52.88847843565098,53.219339642094674,53.950979220521845,50.754660852452616,49.14884601198011,49.403572112952276,47.5753254852311,44.121788244845526,44.355341496252514,43.664035468224405,40.53425999598453,39.861032534312635,43.81407363160372,41.68576948313156,37.388000338452876,41.17212193866676,44.614451540160985,45.77016990084943,48.79121352204954,48.73666824844042,53.091995054774806,51.60171294059775,47.42870318950378,51.63078571623157,53.62847987377433,50.787744705844624,50.64441191245914,56.449706835419406,55.54854826629601,51.231661574870174,54.17128012458282,58.58648284649175,56.88828584526553,53.56241794304402,49.00052885462925,53.1530793227532,49.09665527631135,48.08026360931275,43.472272724113594,42.63939199165361,37.78641854492367,39.14641413391101,41.56949340317539,45.28522817291077,45.86639624497968,45.954088732237636,41.83345731791993,43.932111210231376,39.448988328056394,37.3980122706306,38.729403154248914,39.24743526296913,36.128981484111335,34.602778105879665,35.029624445002746,33.189201416671025,29.99237166522939,30.012849651209823,31.38923886173215,29.494035451078982,27.55923016313998,26.469010603349243,26.95981445519061],[33.173187622677965,34.96966821483683,37.95327271107935,34.92862331164746,38.34001499988332,32.75438945556115,32.57939605609928,32.513077922897004,28.11550915743677,29.04361157592588,27.08964630265129,28.36583074829667,32.116236384390845,28.867111211262813,29.9774649096865,33.20987882010145,34.89835595262579,37.00946339013213,39.67392629070984,43.23829351581395,45.62759757791912,49.99263073477791,50.54380377778013,51.17728712128468,49.38856543649739,44.94259367543186,44.63090414611191,40.7979794811512,39.465251789658204,38.35838414515399,35.96005984837381,37.543172631617104,37.712441226569695,40.920362950035354,41.92845811785185,41.747061220404554,42.77639302670083,45.285173247326924,47.0830693971239,53.37035430468666,51.053628222572726,49.17632682528723,53.27028911916109,54.88955958441394,57.13027537401305,58.15593760188318,61.76036814637838,59.700543672900274,57.47407199570379,62.967834583069276,63.504959968652415,64.43653179463458,63.67704979076286,58.417507673367865,60.45986876607232,61.88872507856183,58.03918182498236,56.161804152834385,59.685217599330514,61.675198938434114,56.516695890309656,54.50340927874026,51.00203549328463,52.43815521219338,52.61681959682303,49.196408861732884,44.84813964255008,41.24674611401956,38.05655096909904,34.15756464133362,33.51293660551951,32.94079889464278,34.56960254653601,39.471510262285655,39.09204457897724,43.638768222399285,45.95789255883844,47.12183453957479,48.70021685526612,52.034031504392026,51.113262550607324,53.23070104526272,51.54919876252186,54.57268669974629,51.96633184002032,48.65228572676874,48.683890841995414,47.453848472028575,45.668482875770344,45.26049819495186,41.80665440664928,41.51248008732763,37.83296481267948,35.968956301607605,33.05134051842825,30.134151322435937,28.02941904638683,32.49515787983988,31.972916978104454,33.297978877843875,37.608795674721634,39.90671629420097,42.719408227430485,43.933918629260894,49.38042791905108,46.47233549956717,49.88134535949769,51.25212210071374,48.06938672710914,45.713584706247744,41.875725268270564,41.27029698779194,36.575969284798944,38.03786246997823,34.956101206126725,36.62689184846801,37.38542102130407,39.770153718441165,39.598182331293664,36.36198958654822,34.26526255872517,32.421926651160625,34.16084486174767,33.674612844078304,32.87229706145428,38.057243415712314,38.0916805452564,41.84647823131,45.00036631915539,48.343105478398066,50.51879412644377,53.98853607281569,55.10943973945136,53.68901006686699,51.486253214614074,47.188719302179145,47.166225415980335,44.985644038965695,43.30862773839639,44.04107854529662,45.452979933290635,47.939534357940765,44.73338813422349,43.590967569231076,45.49967769779092,42.099372259949476,40.718543949490396,38.87537119442879,39.48851872439868,35.56873321162214,37.30233886044299,33.07499791523662,36.29534144553116,32.00959522153235,31.366457774008577,34.830340266789655,34.566222386294335,38.25443783231727,38.395750384196376,42.327496442983914,44.145325317746945,44.26440952276151,45.90664243748116,48.795963077054665,51.754609959454264,51.9773264770516,54.92139852402654,57.870704460525616,56.35218389364353,52.51480905382253,51.954020793870704,48.76827471708477,50.06308660101375,49.74361613257016,48.460745293297315,47.8666551496713,44.1387934815773,48.51471879110714,50.529161662075616,52.16583906863822,53.7959339618363,50.21042516815081,55.77596787047765,58.86459841505176,56.321697596965905,57.48060940566393,54.888789241490706,60.18777297261277,59.47385611415471,61.656502742209454,63.67114699222621,60.66450670703544,60.911493496634684,58.81609923080125,59.329968266163476,59.89207901230407,55.48497711149345,56.225272131599546,53.933512568695946,51.00796102953973,53.63841712652321,50.43516562185078,47.48999293904709,49.88331293321884,50.8779262918906,46.06033448355607,45.59316563913152,48.75809180912732,47.57956815568098,42.74627843912535,44.68069242423213,45.98254844471584,41.62163035673912,40.53731810780354,44.53319608309934,46.24261199909521,49.3843505294635,52.732438994551714,52.3243583920257,54.02846070012471,59.15397542842252,61.06417967226413,64.03031205104844,63.69675300281257,62.551526722780494,64.39688617386963,61.608190558085234,66.39266293488312,66.09245689714966,60.502181138548,62.692290938955836,67.1430616000858,63.80556541625338,61.30728711036832,64.49090131179358,65.83460706315799,61.78933364531836,60.183625461719814,56.68062683524245,56.92856763143705,59.430189518084106,57.66538590525761,57.87165295091084,58.83098464692231,55.352697911483034,53.821475953181285,54.482830756992215,52.51783690259625,48.92264847611567,49.48072677929875,48.98678179565302,45.8491466342093,45.265157269468126,49.40988533619722,47.37911313805907,43.126389151735324,46.98008404179581,50.48303753827363,51.52437247781286,54.420979048084185,54.113378107707916,58.49492006151679,57.226650263674344,52.85952484557469,56.883186937753095,59.04133547185142,56.20731702555783,55.73973260853348,61.63246806163468,60.85337681158862,56.33608153856046,59.045369761590074,63.64085683827224,61.986958451060914,58.51945404842391,53.92089686450774,58.06779535263186,53.92174773954949,53.287599847490405,48.50035834391122,47.762021188121714,42.88119999188094,43.98647445420659,46.26015066808747,49.888310690872984,50.3302581495375,50.64136381233288,46.2194522689531,48.16825510507341,43.439201316759245,41.91690285669962,43.20024831231988,44.06158000701724,40.68039932856381,39.11969139124963,40.09422713526733,38.3195751869101,34.60252006328035,35.0472075706319,36.881270526970575,34.97098954913792,32.793317824971396,31.490724662215086,31.654517878489425],[32.01188539486863,33.718258829874706,36.38381878714575,33.69787073738251,36.63153141504877,30.659260161049005,30.263336305234183,29.643062176633034,25.32885346455413,26.414674615026954,24.157688029825426,24.91693624714061,29.10320202384467,26.30425366048783,26.968559381499787,30.061196397481435,32.237476290450445,34.38141699315259,37.512361134660836,40.76744343679314,43.400564368150086,47.66092034803393,48.52107838958884,49.37673326487547,47.362520225380244,42.97613820276942,42.38797758972584,38.45822067583332,36.72985171525164,35.24510155231061,32.761481928003036,33.9894681946474,33.93484082388554,37.30226165850042,38.44444046978376,38.60650459208383,39.42836110200173,42.39209748208388,44.38123843807603,50.5274499691283,48.641789660202285,46.72384142492664,50.72844395974859,52.4064194374782,54.889098238224925,55.93881854899845,59.532344551658916,57.251685708068166,54.94566715890873,60.45995675243737,60.79329035705752,61.555671968966394,60.71779911221846,55.45676247834061,57.324693035803485,58.90655300702116,55.19953396418583,53.09514786543902,56.54831585939694,58.80118818683278,53.768930359596254,51.66136316433437,48.03807020006752,49.8438269340493,50.06651388248625,46.48639862347571,42.48963330375654,38.64433090557815,35.88439185064644,31.747715503110435,31.502988330331462,31.166651172685246,32.262649421441246,37.211656453709224,36.34352480659462,40.766675959908184,42.99821637047567,43.86428653445014,45.441257323905994,48.85025900505177,47.727533373803965,49.98472421880904,48.10067506112396,51.33775556174776,48.968049097944025,45.48293587170496,45.63409444203054,44.043540922373424,42.5574977720992,41.793666204590785,38.56328406928356,38.31454890374943,34.5327172969772,32.41651736004831,29.592841406256788,26.5929433256158,24.65564724712048,28.71677209003961,28.170395493554246,29.197948551018815,33.74213977693973,36.069526853783955,39.04621286826031,40.38076483194342,46.0107918392809,43.326077160553965,46.70051858419882,48.352447080348725,45.36184159482928,42.7365425259213,39.156708994104775,38.54128167200051,33.924884844446865,35.66214632193564,32.56898013760616,34.62550041879153,35.30161103835342,38.1039857343668,37.87119231500877,34.241362149389325,32.45694816161113,30.468364407569975,32.61651855728763,31.90379404096121,30.89237148034172,36.071590887955644,35.8664395138703,39.517468795751526,42.573012547557745,45.63836379543274,48.190801880694465,51.424679668862574,52.63900748975058,50.88910005920051,49.085320882773544,44.8362063238698,45.209340746886205,43.15991338172905,41.722325120507676,42.116585906968375,43.96192628983589,46.31293036528606,42.865605907177915,41.56541614509167,43.20272722417309,39.52624615035019,38.28482889320196,36.10743625832235,36.57011772801865,32.59027563211037,34.11176449525985,29.667548745434527,32.57434141037287,28.174442362416656,27.369117917665,30.95207943024423,30.956059976111323,34.732470437714404,35.00020256889253,39.14957977179206,41.3552868978475,41.39114370317168,43.510920077311866,46.13701741111408,49.31804611842142,50.00942993509451,52.77166337304305,55.95684531129965,54.51017712212285,50.749035314184475,49.93956673410849,46.66401896794836,47.561139052153784,46.960983880500294,45.43576723401246,44.56750264652569,40.79789511554902,44.926138540637204,47.23880008762084,48.823441357120764,50.79310151518918,47.200743024121486,52.86479918320407,56.06040546590309,53.661253547190036,54.77274535855012,52.24223222985048,57.57032099857934,57.22033477863233,59.25558978772875,61.37628836759598,58.2272065419197,58.58230362630423,56.50243793525931,57.00419685741666,57.66454287727235,53.3836114529261,53.961880746966486,51.82175761401892,48.626368329639725,51.301592842571154,47.877547641332924,45.09967454006721,47.83574319367069,48.65120450039307,43.825848609709546,43.87663470693087,46.95882919345454,45.448245311753894,40.955019912213515,43.17939154216351,44.373898584627305,39.89931879424526,39.256734048824335,43.428547559576664,45.14342093265806,48.10126945473979,51.68652299050241,50.90681329866056,52.50228514824715,57.50855839470509,59.44013308456594,62.252858092214076,61.59241301022469,60.32852947306104,61.95192604365973,58.99503461460207,63.82166130616048,63.79441567223909,58.24258079345489,60.216098951639076,64.85526763274443,61.74241108262371,59.12023268071323,62.2036869447078,63.900103593067,59.97938496176124,58.13263861484143,54.61727807066989,54.41747209038208,56.82564580316292,55.03435754047781,54.950100899436144,55.81191390247974,52.19159716491992,50.95152038575136,51.65864383602391,49.42577930599232,45.94292350695143,46.83186401325247,46.217413829194676,43.050309082787976,42.808223774500426,46.97147263845415,44.87736980293843,40.82765591626471,44.92694341379334,48.36191053808552,49.4803453142149,52.14184990483116,51.667411559874644,56.100008144096705,55.13939156652423,50.839321246352704,54.680443177383026,57.10065556601481,54.4415304554099,53.859012350802544,59.735332484424674,59.30882218414593,54.85075702735497,57.35176726962974,62.05238493438304,60.705480458728964,57.29897277678044,52.81436834363651,57.22509418821926,53.28358757055305,52.55066499520887,47.74659674161573,46.58723186543972,41.67344476513326,43.207357937088936,45.27310191964696,48.983136396087914,49.1288834565255,49.08854169117913,44.48675991603693,46.0794425923382,41.36523260800795,39.793065391592044,40.5560241141522,41.371861507138284,37.704691191877004,36.556907172677214,37.76699393617784,35.67501764176749,31.923154060403004,32.99220136866439,34.75372424934286,32.475382839921274,30.098771440212005,28.53794558603773,28.50809690798441],[36.16208184787045,37.84081924528961,40.29491408994604,37.766934837793585,40.312756137245465,34.17734264283261,33.46759220790055,32.35983274754195,28.083090876216858,28.922012368973178,26.206686195583654,26.51479962644767,30.883125367868082,28.34799930861058,28.14645473041783,31.144957334191538,33.80320573780105,35.4742395744261,38.69244963833778,41.811286315110905,44.32727021645016,48.52179324861507,49.45210994194373,50.637049177641174,48.72731292444811,44.45087175916801,43.969035482037185,40.15971497598161,38.03592748418754,36.40137697214069,33.136094918487345,34.54483484894319,33.84609446533707,36.95376628584087,38.63656807254167,39.17626271037423,40.214396428804996,43.48587579061934,45.78914633675029,51.76437175326201,50.228986952423064,47.92724104046736,51.71001380516499,53.64898568676655,56.321017863958396,57.645922164145794,61.0833345093164,58.51614402055208,56.470794550458955,62.02618545739882,61.97544953210103,62.70190477888046,61.56844645415933,56.4612603045637,57.97206371282289,59.49042298203965,55.87618489348243,53.54720699843916,56.72223888937997,59.140269489182884,54.1692096544468,51.654684240716314,47.88475458271695,49.752939521274214,50.376452002382194,46.89218451370265,42.962664943115634,39.106260542641174,36.61987827120364,32.40286622651971,32.40642659955843,31.721408586394297,32.40717202183625,37.28778018155024,36.33873121277486,40.16342811880527,42.85869449178877,43.3054881766582,45.27702598046549,48.95460468521949,48.01107588346023,50.67597617942708,48.891625695811,52.478040793127136,50.32335605299609,46.56348019135907,46.43756989352216,44.50315957665694,42.91439285606911,41.49374902618199,38.315923461585236,37.52895170271374,33.89168692375739,31.880144842313968,29.6829890525802,26.31503558761728,25.14671018842209,28.974815437885393,28.897553278101096,29.81340540205125,34.379092983795324,37.175347632065154,40.072932269861326,41.912398534597806,47.7099726027887,45.45389806555066,48.87622357359817,50.84015035068088,48.13359749574822,45.23538766387757,41.95750978701076,41.14063470734575,36.62203550359079,38.379951911978566,35.01938473747037,37.254066085256376,37.5198401718548,40.5106109724792,39.70084607344665,35.915527396479916,34.516556940679315,32.7784462454543,35.432442060655276,34.863494477798874,34.00267639727709,39.19276450672818,39.085472660249,42.50484470149205,45.51360000201571,48.22143006852959,51.18109204628892,54.209258945658156,55.36424365980836,53.27329228502391,51.79707017662901,47.563830396948134,48.38796665410655,46.22961642451605,44.813322442167646,44.850779009213724,46.71667090396263,48.68995178114301,45.02219622597419,43.863679272297226,45.19160210462225,41.335389706249785,40.427495199915114,38.140311293743906,38.70394599448351,34.85463720301872,36.33619217252083,31.73505802483254,34.21034627299229,29.75130758477502,28.535213731172433,32.1576593468379,32.4105005488168,36.394749534881214,36.50943089086707,41.09759529004776,43.512740939646214,43.12568194608433,45.71705909779851,47.96148152397367,51.49361169876598,52.58572012506064,55.364351302451134,58.682596875866395,57.471146297084054,53.7178935014789,52.80607212467499,49.36181790703805,49.89009671593202,48.98919710322638,47.148646281955656,46.08117233843819,42.10005324081064,45.913023429145994,48.509611144693245,50.20670469330704,52.515230871048956,49.217634443995465,54.94251883343417,58.18257531297511,55.863210486668976,56.637687708516374,53.959580888849814,59.2873919369776,59.2447814745419,61.3677022495592,63.69284757124038,60.521217528326126,61.140647154440224,59.198975870401064,59.80204787199097,60.657253943425594,56.53394022793329,57.070901114095605,55.14119741814313,51.745365981832904,54.51294953750606,50.91515640292097,48.28652227540511,51.32005726823893,52.003863174140726,47.200438939341765,47.63842725622989,50.65725992417166,48.87804390337232,44.68727197337014,47.08921299837298,48.168780516155714,43.63369057773013,43.30426442095418,47.5234253832788,49.27214750947717,52.05737329332979,55.830417819307534,54.836469969918255,56.326149227993305,61.24442212090346,63.125538292440936,65.86956711982822,64.95434375529753,63.6215078537563,65.04201187066792,61.93830865990391,66.78816011301213,67.02041289634258,61.517974157096546,63.2726955809744,68.0669084652544,65.15377687049623,62.41298737313335,65.36305367245271,67.36182838008399,63.55467009362893,61.444783227399775,58.00986033668361,57.390710850761316,59.73728319716208,57.96917645926056,57.573309292306774,58.31878319109626,54.54611649582007,53.65593468532816,54.405010805472294,51.86627036697119,48.55851166638564,49.79476555154764,49.00960573921687,45.824920269797296,45.953195852909076,50.05497832010472,47.84105357217827,44.02502874812403,48.32420361584757,51.64170248999822,52.89018470789158,55.36009383652682,54.782617777003864,59.243237537874606,58.53002536752796,54.33883120097048,58.02289389217074,60.64164670247478,58.125218276527626,57.463831080740334,63.30765980372849,63.13539929442453,58.72743355781876,61.060534405845516,65.83283037774751,64.69019559060271,61.32052840950303,56.9123762094539,61.4498177187485,57.61038783780075,56.85429014019061,52.051299684554415,50.6832597167571,45.7720997093406,47.502520433235254,49.43885468062027,53.1643380661871,53.12356033564208,52.90316561237512,48.15570559717761,49.44921313396385,44.72603489506074,43.237546073733306,43.543262198669666,44.337781532830235,40.39022603548924,39.66461467319731,41.10598958438806,38.723240620530504,34.985627456256125,36.59871666237084,38.24774372756109,35.63280410615927,33.12181267998756,31.300711391938123,31.039252860735104],[34.60288228894914,35.943551400903594,38.013523808588616,35.207980348884384,37.40598657179637,31.419935253451857,30.352919343396774,29.28142842661179,24.834156283788193,25.277033652481546,22.457116433264655,22.984679161451744,27.087698091274323,24.415561158652174,24.16054263915097,27.22380096654631,29.78227046623702,31.39422205235403,34.572569815283295,37.71731911651612,40.225327231844595,44.43211973650779,45.355710145619966,46.52732518462307,44.60699477783627,40.331420153991466,39.87444373186718,36.09426821186361,34.00492777656059,32.498262774909776,29.216102092815905,30.82789915880703,30.292644996490864,33.33874370458688,34.88368227701593,35.24790947035209,36.405536066833825,39.49664507217893,41.77916894746097,47.79055094525335,46.171729702242416,43.83952589003686,47.638902013375095,49.577047969352826,52.226311950863355,53.57946506083244,57.00665809333235,54.44887897727055,52.444379224632705,58.0133657157973,57.975346670893565,58.76327897507914,57.632396392281606,52.52943049431045,54.09553824417575,55.55037739202402,51.88526114660066,49.63618613522075,52.86263313758505,55.1907773105141,50.179405785916906,47.74857988670097,44.02595002099807,45.844771025446775,46.37489813175144,42.885269014703695,38.91820241413993,35.066914447271735,32.534590259520535,28.3182207215973,28.313103183466264,27.72790923452813,28.425228124186273,33.33217019909696,32.394240407030026,36.41627871277572,38.9863264509836,39.613827276242056,41.49050480061052,45.10474204331118,44.228589620844396,46.83016075519086,45.18495295602986,48.70122492825486,46.444824592021924,42.7123784141428,42.49540067943691,40.7230136325649,38.99682777511235,37.80656728738414,34.523076741553474,33.884817199400835,30.21092271004803,28.253664849320955,25.883480835675094,22.59306680975795,21.25665206006053,25.390440685336362,25.423610847326533,26.842978757571288,31.009929224661242,34.062379284665504,36.6397884034275,38.665572103515565,44.34956655282961,42.17161074055249,45.77134361870332,47.679150888038365,45.08320007957595,42.202984398044215,38.909136073903234,37.77536943840846,33.237683978974154,34.77443049761055,31.222484237972942,33.40892635848853,33.52838203947576,36.5212421320198,35.60754653908346,31.81512484328211,30.460078626974603,28.794866457990636,31.589129489499665,31.139081152305298,30.476156449882843,35.69686284874577,35.94679627084182,39.16479364136985,42.25041254295468,44.85638015111341,47.89976298510185,50.96589880255426,51.92380224607023,49.82954413712595,48.25979997122459,43.98656509677135,44.968915620550064,42.616266796086535,41.123471380431255,41.04363775718305,42.82716930207479,44.68629473808358,40.98240747181155,39.88919511208654,41.18726357306375,37.3617184194229,36.51481635311515,34.34150425035229,35.086635272889126,31.379935519955275,33.161140045910145,28.71672541255611,31.49146469573136,27.473828967403822,25.848757948478212,29.181600003740048,29.08831437228617,33.16204016443978,32.96253921830596,37.637268319492826,39.824167585601195,39.276384680762014,41.82568341672249,44.04293293255451,47.61719268181369,48.71637103016627,51.5790113811876,54.880366228194184,53.794239263152775,50.00883879173056,49.1357480124249,45.61114928679268,46.12606469319329,45.2360636996647,43.40825259243461,42.48569817871705,38.42619270024591,42.38691085747154,44.80398799352823,46.605806747823806,48.78036595342121,45.660315691654574,51.35141712453692,54.533058542167765,52.14349247584234,52.776675269976785,50.01238252990299,55.33644479630318,55.25511704482974,57.46431912516612,59.83659882751764,56.724558895046535,57.44523193630994,55.59952165246869,56.31225876054839,57.30433160457887,53.246089319502126,53.93781564438954,52.18897467831084,48.825742065717314,51.84255503087012,48.32655185979971,45.573281050845985,48.753369529361585,49.66275850507253,44.87669140134002,45.220843311190556,48.46940035345218,46.92740979639481,42.65934049757896,45.15912492444511,46.48713606922758,41.99713712341599,41.582237006723375,45.99137350902845,47.49292147814565,50.55929111832357,53.93706792186775,52.87895620707871,54.57432812718244,59.38852840007213,61.54090959575587,64.03871405219138,63.0762544769323,61.52991335541318,62.86644792768012,59.60296351495376,64.36274715264648,64.68686242944484,59.04976088594071,60.66405396680233,65.4436880151493,62.54055569676525,59.66311882401222,62.47311030868041,64.5453397933816,60.78449021629744,58.407190984457316,55.19692891732699,54.46904232930795,56.95118355769048,55.436138408049075,55.053702904736525,56.068965981358616,52.139755912364016,51.15023285846521,52.26471469953919,49.78463117404252,46.26509583774142,47.645611002320294,47.17845719091196,44.03905709167334,44.075662780592104,48.39698226400831,46.42076582477586,42.5870791724153,46.844793837963955,50.27145779342993,51.28806811626367,53.63661080633339,52.796647337065934,57.24322165519903,56.72297013752456,52.314514213702815,55.81788813379382,58.5579585068314,56.058379850325665,55.09667289581247,60.98926673371279,60.953147011206156,56.39925623481909,58.51195669717833,63.41726689832824,62.37128181615623,58.9197073003832,54.53841099671753,59.13662664203863,55.33186424765805,54.84103978603804,49.91285600645722,48.48825633672041,43.58625466132602,45.249501129476585,46.99082491094346,50.65793804147391,50.43728629558354,50.286407469562505,45.35388024961056,46.52288103770422,41.69740230709543,40.54300146718955,40.87776282563372,41.95243575233251,37.948247685977805,37.057190968325486,38.88044897943265,36.69915937852415,32.55058610282213,34.37577163138293,36.46381538423725,34.01806288384474,31.366777570912372,29.53145509367057,29.116737391433016],[34.08818925456978,35.11268257577918,36.92326784109206,33.62835458970846,35.67906951641977,30.068432784554393,28.704046154199617,27.98847541329866,23.296696743260764,23.14607233056756,20.37748550243773,21.523367995916328,24.997923452794765,21.846224177028066,21.797006397399556,25.036154886340217,27.15967650529435,28.644720881527675,31.468571079416396,34.855228796381276,37.18489115430236,41.48075046057563,42.20306037259266,43.250845641136685,41.46908752649367,37.15001255071374,36.91430151148859,33.23164838045754,31.413102475525786,30.30705089482812,27.016158319052316,29.127065664349452,28.904007738318363,31.728936616589824,33.05077090100542,32.99967262332603,34.45304855193044,37.05095501030926,39.21027606537343,45.34582182496714,43.3831493609102,41.00129553325931,44.864177570028595,46.79389397324159,49.285347725117596,50.684885577022655,54.09996537998224,51.65949187595116,49.7726898504969,55.354735855974745,55.42256178651492,56.38107303056339,55.277265890859404,50.19391418534997,51.902213673614426,53.17759139355881,49.3722269545831,47.34188789309068,50.645776532625746,52.7158016186573,47.580679514360625,45.2707424748378,41.671567495456515,43.19249132764978,43.62145949608737,40.2384748956966,35.989787782476164,32.30379816158351,29.429097567677715,25.358321320549805,25.06905093523313,24.400729115570098,25.476060058487388,30.38955987765977,29.807357713020536,34.097348699234985,36.61862775610604,37.624133437997735,39.41977436384933,42.92711697609783,42.278303931927,44.745793896292795,43.39896483637047,46.72233707992767,44.21830415588748,40.60737090057671,40.184506291216394,38.811778910221065,36.72020317494709,35.99057187148282,32.44567055754701,31.910070492511228,28.29574756612855,26.6074220238611,24.017759771513713,20.894916479374874,19.2675613728394,24.029367211084587,24.227533009845722,26.39740809731993,29.92563860855935,33.24721442340076,35.34676129048563,37.52626850606951,42.96840620625815,40.77122147152602,44.587504451354405,46.28696227391827,43.71999516051605,41.00187428972579,37.558176522471236,36.06002086121717,31.455875911317214,32.56454143954781,28.760607424135358,30.659305281542522,30.62011475802389,33.37373149134612,32.30990109683307,28.736396325368265,27.247509758625718,25.783633489544172,28.548320227407004,28.403002251945136,28.124495546690746,33.406199411823096,34.22452961776783,37.26213152332153,40.493513695781,43.1267654314477,46.07091250890864,49.30418534641103,49.98286821541083,48.05467115344452,46.16424795894545,41.81196977291037,42.77481606431112,40.10437696761177,38.37211724280306,38.332334491990665,39.75366538837383,41.52972651172181,37.90185243433731,36.99778533043183,38.41176340333908,34.77809587273506,33.93752519821981,32.10525024683581,33.16843917456293,29.674929904734515,31.928133227534495,27.802852155821434,31.069400147434276,27.61457502786761,25.66895798695379,28.58053146742058,27.937525952442424,32.044900934834686,31.399623967767607,36.051611293325784,37.74575076122252,37.031931733503114,39.26735375984581,41.59186031873028,45.1108068927534,45.96395490477227,49.04236931505985,52.199100081138056,51.23290866620045,47.35866450846023,46.669117684110496,43.08488052092309,43.80046144351945,43.07218702293911,41.386446977454135,40.78758642565382,36.656644651943616,40.91249491437782,42.954787871681376,44.91408870399923,46.75148125358603,43.85856186414452,49.45543210743675,52.510094692437875,49.96009409005479,50.4340722311549,47.518098683810685,52.82418643152252,52.50213185316545,54.91043446555946,57.292804536335,54.32868327344639,55.12420936207772,53.38763102128777,54.239666870299885,55.34382841730874,51.29305764801252,52.24857681174339,50.62861028804509,47.439692293319375,50.70982995793431,47.39624523327043,44.42359642570824,47.59025744700741,48.83347768719938,44.07338134013374,44.05471900940396,47.592940753147325,46.46658334141596,41.95310192504525,44.41223677777347,46.0528117943673,41.6686606440817,40.94943839752428,45.47032838212195,46.70886985799197,50.155589892081856,53.002895309265554,52.05886023440339,54.02257124053043,58.78380771958111,61.20456513436452,63.5213868481796,62.666444146014214,60.95587082046756,62.309974517498794,58.961379270009054,63.60226194055717,63.89250819301285,58.094532825648756,59.66299168846237,64.33336156012794,61.330701367634326,58.365305181664986,61.06895320405012,63.04793121968268,59.27646406164016,56.71963288570632,53.769225800862706,53.144736839754174,55.822268946873834,54.595780960316596,54.370637875825196,55.71686424776442,51.697074746834105,50.46135528640655,51.93836130537414,49.652129619819355,45.86248812601126,47.230052928441,47.15131042846188,44.07771787191672,43.85346205826314,48.3848166403461,46.68113574626596,42.73781546240327,46.83090705042516,50.39638773146945,51.14073737254189,53.47555236893402,52.4462595224397,56.849886689092564,56.38192823865199,51.71814065379931,55.11760696576179,57.8567527180948,55.291141077365374,54.06510776763901,60.01667941220747,59.95355101143373,55.21377757749326,57.18967349090111,62.188037875568185,61.09561518911385,57.523494727327154,53.11338573701465,57.64700942811853,53.77734576065216,53.626327537832644,48.569950860198986,47.29345160778977,42.41860622491761,43.792035145508336,45.42079467447539,48.98178303318056,48.71031135224806,48.81700012624402,43.76700427342516,44.9787699594591,40.02698207561952,39.278642115943114,39.91440208350687,41.31521539364504,37.4023867372936,36.11983093136498,38.23529308679121,36.430022716093745,31.86973108458123,33.599072415256146,36.18679073359895,34.10235957163731,31.41322408091437,29.699671885721596,29.22213320832664],[30.50276037743615,31.22203582753057,32.687848121510356,29.312560949879696,31.082281923618122,25.558769100545046,24.016594638326076,23.389003458763767,18.629677854354885,18.400908432663982,15.752077127804712,17.172857037752877,20.50315304180143,17.308511206807047,17.738772132165895,20.99599736837204,22.929726916733312,24.84648638363645,27.897542912146005,31.181882330326005,33.78502041699628,38.05230981018232,38.92619243522439,39.824507998192495,37.78460885916828,33.42042044279287,32.90278387519546,29.06533051142305,27.355447087515277,26.209423785095158,23.607854174008548,25.40838588617028,25.72937801972342,28.82741742958062,29.65326220420697,29.392256710269578,30.56980374601831,33.08558826370186,35.07917626030659,41.279255905624204,39.25942909872856,37.179127747142225,41.17706877603182,42.91229354980877,45.387497042942755,46.57694365995952,50.11028195425623,47.77605031280301,45.6340506748549,51.19654194592301,51.46264788124249,52.37025822182912,51.4706177196737,46.2631707313492,48.187650306627134,49.58565036936407,45.77807636453882,43.83368148308521,47.34935795045061,49.405696828429775,44.299742882985825,42.33858147599947,38.83284250453793,40.52812395342534,40.57296868102575,37.00383853084835,32.9583821930111,29.13430074858934,26.324202295187316,22.19552855921647,21.976506207409916,21.947565442621926,22.984656480507986,27.9336141131989,27.062669750133043,31.87997248194416,33.80509326890261,35.06516714478366,36.43450338142826,39.697598111340675,38.789825010013914,40.95260429810945,39.46793478744713,42.58569069828196,40.00155165743289,36.53701968882486,36.38685878858116,35.170480503693874,33.31292074153683,33.063452244149914,29.612136151802606,29.70815760264759,25.92493498798036,24.010722855973732,20.819725950382878,18.135459166373455,15.754971267364988,20.593947200492803,20.428270270699674,22.854037670977977,26.158029437285023,29.249665053773487,31.278944004283225,33.23113124520707,38.54867071234197,36.207700005235374,40.06512046032022,41.64794655012443,39.06207088634051,36.42069442373425,32.91050688085536,31.342978728646536,26.718647612153635,27.808395894465665,24.084635304274915,26.052183764607058,26.21618081431115,29.096422252477378,28.457578657556517,24.742512264553504,23.154052193051385,21.398749107690353,24.099202062185235,23.760404548952543,23.37640831819974,28.649152067439623,29.508050683648037,32.49619252941502,35.744535232399976,38.41031335767486,41.310274041071196,44.574258832770056,45.23268209451087,43.372829341178615,41.41483679278953,37.06192768395211,38.013590801782556,35.3902790568173,33.74752933417844,33.707582056969144,35.34821325619348,37.2866764207147,33.668792634685694,32.570800693853585,34.05032222971753,30.40819381486086,29.410113067276487,27.53067518701154,28.539235418631673,25.02426591945924,27.397861242922207,23.447711937052375,27.04646932046317,24.000012175756126,21.995430322486,24.645804212298913,23.70251155678077,27.717501724407533,27.05023539285138,31.512519084779193,33.11791251738131,32.60195408284467,34.721484683441325,37.17863289293863,40.56990065291443,41.39830707952078,44.3930704812541,47.58107397323424,46.54369579281341,42.69654388053261,41.955193462990735,38.40465864011184,39.1594295181363,38.50648885611983,36.93793624299725,36.42166059850758,32.40495127278741,36.84229080654047,38.72338395419723,40.613394224940414,42.30347133113119,39.27925076020288,44.85719521473656,47.904283689243634,45.342277221837385,45.981173768465275,43.18245937087835,48.50242530051359,48.139934263908415,50.42441264364314,52.73188105704045,49.72816979762091,50.43633747668975,48.65601411442551,49.48355632439581,50.574761987109504,46.52649622571252,47.50849414374289,45.9381799421159,42.776843544322475,46.14581144537097,42.90699116580728,39.86049101390374,43.07944090123785,44.4525346406306,39.72790987785933,39.65949287610572,43.31443447522059,42.360263880609736,37.82722752000883,40.35455524781774,42.15812936714248,37.85066955756279,37.10799670120313,41.74715095577504,42.78968357049507,46.39178097813274,48.96408691031609,47.9338043666224,50.02022974285726,54.676250167303316,57.2844203191548,59.40795665238926,58.52840464104726,56.686941429297384,58.004511719317634,54.59165921845967,59.16474556519912,59.47360949240724,53.61058546009373,55.12443040625604,59.76236615925704,56.75982576000995,53.74171244615698,56.393953898870244,58.39085303525815,54.648000727255635,51.99623696955511,49.12538978890235,48.48725364877547,51.22793557004548,50.12805863555521,49.9743679968418,51.503961421974985,47.44696870675834,46.06938039099652,47.7578746374229,45.596324086571,41.64570517961325,43.02971085487383,43.210006530231034,40.201578408242426,39.8486552887272,44.51682405979923,43.03427329537265,39.09108418707021,43.08946915045845,46.71965089700832,47.2640466306713,49.50481263871915,48.30449221588303,52.67269902950721,52.31982338174922,47.5235948110862,50.79463214069902,53.59339093197779,51.05246466560066,49.64323417678578,55.60287863547853,55.637657669017464,50.8367408553814,52.67096487002322,57.73220844709878,56.7292790350675,53.13666167716474,48.77800635203803,53.3809467277778,49.5980464801678,49.569159647762575,44.46835633439593,43.079509546175615,38.243285906782546,39.656406508050054,41.115778172920685,44.64687659593425,44.22926554046683,44.30801896501613,39.17318677771178,40.30876630892602,35.332723989945706,34.73646812530871,35.423998258019694,36.99502215264052,33.13362624335883,31.672476475156,34.00567936842967,32.40626593987525,27.590946538688492,29.41414869738382,32.31650773133504,30.439788194407967,27.706205600300468,26.07176575375397,25.540421574094403],[33.293018034198845,33.787009887080245,34.81535695619024,31.473914591420076,32.62617602902691,27.207778576299056,25.16109982849823,24.121669939081148,19.443215722531484,18.58895371747323,15.431650931658242,16.54698204032447,19.67220710469261,16.70364087018114,16.041415353115838,19.243407830759082,21.570873515350204,22.898169281574514,25.998127198023976,29.161806484188325,31.642192544322114,35.85762084211669,36.798021132167996,37.998852476411216,36.05073031454719,31.809377130117454,31.420001998199663,27.753922587971175,25.678797016162562,24.520754765779934,21.071650124270967,23.30646130601422,23.151726903650808,25.91785260292809,27.13336638376675,27.06252807076475,28.58654079257535,31.218308578881555,33.49563599868211,39.54750594544893,37.79248414044647,35.316377463019165,39.11249363983991,41.091791434383936,43.72257707203151,45.19299461945463,48.56449453167872,45.97289166377074,44.11510334860388,49.71440398959298,49.6365049294787,50.5614685001579,49.39562236078166,44.34107922129724,45.98892380267951,47.26945525235077,43.496918878804934,41.418024061161624,44.73061559712613,46.85585754422446,41.76473032325758,39.50096260527483,35.89015238992587,37.60561419060209,37.93757835566459,34.445314270711016,30.422189106086734,26.575096727577623,23.996945994027907,19.76451182277518,19.818609564106644,19.537245672618443,20.131669610497653,25.073938947512328,24.11752933225908,28.58680621641163,30.839904587754855,31.88991297470926,33.54399596778583,37.008944485569664,36.33694441955083,38.82545334189608,37.56934290491478,40.94228498824358,38.47390352515199,34.78401165081752,34.276590067695686,32.888925401656984,30.786552213350628,30.134680430555573,26.60459161720552,26.333611540345363,22.623538139345637,20.873359198204486,18.117156146161918,15.114248301775868,13.378394049752814,18.363557437472288,18.84290971531354,21.675970907347963,24.521268379872033,28.288574357961256,29.91030350525194,32.49795447234945,37.81817624728928,35.962733392390106,39.9693246201748,41.76990911867189,39.55301795605283,36.71597714993651,33.51897655414663,31.53374146343629,27.078976014259396,27.971802647846978,23.882836319421934,25.946066816836954,25.546123692552854,28.580725893755236,27.262614555958905,23.40137025399413,22.2994272255625,20.925133729081967,24.235664948903093,24.160095870038926,24.11324498837777,29.279139134421335,30.495536771351382,33.049432970463016,36.26373946181377,38.48654032409942,41.78985110882326,44.86694359457706,45.31110243244748,43.15664415827795,41.43688933053403,37.113304222870525,38.59995820816731,35.755845258726026,34.09610292094172,33.611782506477,35.18309841043486,36.64147703681264,32.80559338987886,31.916262476823483,33.0500934368022,29.286265521618244,28.693281592124997,26.837867576790714,28.10498628652276,24.919547069325628,27.472890674464193,23.61087911175186,26.97796382842469,24.33364006463617,21.655458593731854,23.992752852519317,22.96952447104572,27.198106004214935,26.0872730394521,30.999241152726317,32.57928939519185,31.5078007700953,34.03055417810216,36.0756636947947,39.816802362146504,41.021590430521265,44.07819670322705,47.352447200586695,46.636836689210675,42.80438170965106,42.006375060033726,38.26730543880777,38.65769474903887,37.73701494617521,35.89266879933512,35.323839610287465,31.058292488649037,35.30925777438401,37.280834974687245,39.363186210981645,41.24045275162521,38.664991998420206,44.22948924513685,47.25032233602885,44.71690573993257,44.92242505438776,41.922649121830034,47.220452186376306,47.11554148505539,49.54241808227427,52.0640145803465,49.105113675782775,50.127932844186,48.5593379225183,49.55654089056338,50.91807186220216,47.09242507196054,48.14632557067923,46.90764327134895,43.62948385577332,47.22397311375169,43.9300031991182,40.958700613434495,44.49665491721528,45.89925389770347,41.26175660226683,41.45723585346619,45.16507448391883,44.1561340369376,39.880427813101164,42.5803965921798,44.42292918295745,40.147331230297105,39.61562163573701,44.34520798354832,45.2553477025249,48.85322407307981,51.310623996604726,50.0752937892271,52.188342671065584,56.66980560223348,59.39483298922301,61.29073779564325,60.18037915615971,58.15059481069573,59.235224506615964,55.612244123388855,60.11089208246129,60.69766888953406,54.82157818181088,56.04163341340951,60.76856755415986,57.96000673910396,54.76694059752607,57.18659068263627,59.47883502573564,55.89050432006535,52.843366169051144,50.227947424534904,49.157038340623004,51.92205393985304,51.034769658757554,50.629163085182746,52.24485546325712,47.97833320082757,46.836315211135215,48.806110666054686,46.45206581220408,42.53726508238081,44.299026844662286,44.55466508220831,41.596744594772126,41.48992636581745,46.19949235621583,44.78951215497605,41.06546310432865,45.151615997520054,48.72237762391865,49.218789187865674,51.2073109673446,49.75849738708174,54.10462437938946,54.0844541488808,49.27433803300893,52.26555314660165,55.287215903641524,52.8946041068618,51.231444660077194,57.14918694003726,57.48470040349486,52.66614395147691,54.196353332417544,59.369603597322225,58.607710325992784,55.01840086935315,50.78079111470433,55.486793336149354,51.84465855732887,51.96422484729573,46.83746805376106,45.25732462794568,40.49331937439551,42.00682926202634,43.21416641724796,46.67654301839432,45.98552144802871,45.95734107950315,40.635406928828225,41.405378047699706,36.419162580991866,36.14905474701564,36.447614298833024,38.178557156182016,34.09879209371962,32.91049954486787,35.66402718970024,33.984839701507966,29.004558438649383,31.393428182562463,34.41791779785668,32.40879647703231,29.537565960140665,27.728327290737358,26.9105801187273],[30.09598425102525,30.290356073077273,30.957576674542995,27.613727036610154,28.439776091687513,23.12426697920536,20.882775966649618,19.887538965043372,15.17765835262864,14.214061949460513,11.120148210614374,12.54377083893724,15.554409432158426,12.590055691263396,12.510890011714883,15.736055812306015,17.89395497866756,19.81646264827301,23.2523191016201,26.249248242364313,29.080607175694894,33.24211750598777,34.374437950230934,35.39932782217194,33.13791018613969,28.85273160412883,28.091490874319124,24.215464267706007,22.237465397314693,20.96708269930585,18.437311860462426,20.185886038742705,20.711105513421906,23.84460776760033,24.45016274312403,24.161331918278503,25.294125792791174,27.887809392926766,29.9767394896246,36.104377152027965,34.31200156518254,32.21118205619132,36.16482894360425,37.90919702594352,40.53273824121941,41.74511380447917,45.261502762714485,42.79003243586243,40.61278882226803,46.19171313941179,46.344306747053245,47.193398344574895,46.268977732869594,41.05978175799074,42.9518623480625,44.39467408208993,40.63751550806596,38.64207266467603,42.19200567576004,44.32353076195141,39.286029389763456,37.42711984749453,33.928434375090255,35.86670342298364,35.75493134637126,32.04164680856051,28.306892631970346,24.296678332086657,21.8576981297906,17.580587313051687,17.7682958443549,18.324247992309004,18.81765517881305,23.71361177625079,22.377247045463246,27.415980253319198,28.936445465009932,30.246461099522172,31.386354632384272,34.55791091846573,33.54531535387486,35.67728380171731,34.21317339981423,37.3615428602569,34.819280782607244,31.28877195669624,31.145569165200037,29.903622696138527,28.140117817175113,28.03249162903797,24.672284793922806,25.173705335802048,21.30085839878566,19.251135044593635,15.74331912166173,13.3906015713189,10.59377111181063,15.590063588503448,15.551476813200857,18.647350301100094,21.26089029290302,24.70796801295451,26.301837652437627,28.59218429275746,33.802576956284696,31.765372543593188,35.799781275170275,37.485502864952664,35.23656410866537,32.47282875448414,29.214143457551728,27.181522141992158,22.70682017246923,23.624424339018532,19.64353085973924,21.848949131824135,21.714301696390542,24.94691008948978,24.177770061366605,20.116820886854097,18.919006488413142,17.141751214818044,20.398120234350856,20.042472059187986,19.826128648145403,24.95847987123609,26.162707291879137,28.668029840166238,31.885504691275738,34.148429988797965,37.40930091984113,40.50792008089036,40.967269120592114,38.87748808194059,37.108373770854804,32.78577139369325,34.25734881743876,31.509114679654488,29.986500847895545,29.497295800091795,31.376258213528644,33.04246483234394,29.21443872050296,28.063307972042534,29.265711205178476,25.456742446980677,24.664778912018512,22.69457249900013,23.86316922260058,20.620289264820364,23.285575944120797,19.615795511564855,23.330862987190415,21.159299950381666,18.451155314006094,20.473748866157493,19.117284528110392,23.239798610403277,22.140251167449232,26.841600825203496,28.378065313872302,27.567312113829423,29.99428784464033,32.19688554735949,35.7943667414511,36.99198587162726,39.92813345452548,43.255040286554035,42.43272389603162,38.63997514208537,37.76213047727809,34.069494254183546,34.48848391194516,33.6399673648383,31.91803305359173,31.40946026576044,27.280869028557333,31.734078201036326,33.55958754429236,35.54149790902736,37.28303498916771,34.50817422087052,40.07511894432408,43.108023287172365,40.57360895838185,41.003557711574196,38.15800959661811,43.483868537684536,43.34605845877302,45.60776320809432,48.037463820161285,45.0107088827505,45.915394124091044,44.27527709585322,45.225446419609675,46.55112187433311,42.716735843267685,43.76867542528934,42.56198368464189,39.30165202755466,42.968379781663785,39.74266767787834,36.71620083604101,40.29889801873276,41.80376422284992,37.21660022040895,37.3898462908923,41.17645756131473,40.31706268052537,36.06366517389431,38.81897058034547,40.790517021472766,36.61659985260697,36.089705195878174,40.89060349614907,41.620422643143215,45.32101338425805,47.535623252355464,46.2128075691335,48.41736380265777,52.78770531118827,55.66503898100113,57.38652755891297,56.255682086819675,54.11943784315216,55.17458448107028,51.50758582621806,55.94456347665603,56.53930968163551,50.617908449767995,51.796207820734175,56.49231490552661,53.686045472733184,50.456622278053345,52.840735004100665,55.14616337265767,51.58709902505781,48.47496850757467,45.911203029769126,44.82991566173601,47.64179589831037,46.85527636997898,46.52300127032128,48.29898529156152,44.01526250896734,42.73513760145919,44.884417127985834,42.65935293257736,38.60444473607608,40.369120552160474,40.86353230885199,37.98192271721182,37.75495450259421,42.56473199998246,41.367443365287414,37.670655155114815,41.64176596490152,45.24909960579864,45.562344589008006,47.45686252490819,45.86115843107953,50.163030179954404,50.24252598792111,45.334484552308346,48.201899585443286,51.269080593633504,48.90929104579497,47.093313783901664,53.00247411842773,53.428603305908815,48.57788424437736,49.980380355755656,55.19563328040441,54.52182934275385,50.93167875328657,46.75904993743669,51.5243823115372,47.98752058179033,48.192895046455504,43.060653625442114,41.36061517038467,36.663311135910476,38.23753511143992,39.27262163242316,42.69821141128315,41.86628259537007,41.78351719054362,36.40182722862715,37.08509504158979,32.09491883402694,31.955055746638475,32.27928584882735,34.1618516672171,30.14874148143385,28.80352918912237,31.759407936645825,30.2848990444643,25.098141515416835,27.59125902602185,30.881271395948698,29.087392488736608,26.210342245152745,24.50173251452042,23.63094760360551],[30.81622751363199,31.132138398253176,32.30677907839298,28.234473623617816,29.89555796890564,25.132039075144192,23.286249982466366,23.37847636285886,18.45907579827002,17.28390643892046,15.029172138412353,17.532735801176774,19.57006909585548,15.542637943196947,16.59717352973128,20.028511656281008,21.011029587904858,22.750074265444617,25.072985095305572,28.78203457125482,31.054118083980107,35.44670625761166,35.94871172682905,36.57739983172291,34.78393068077308,30.346502570430125,30.21440505995603,26.56611087204011,25.447090479074298,25.039210775701054,22.630781350127837,25.14195576138458,25.985443620669262,28.665916186094552,29.090954393337874,28.137031527401522,29.730876728643878,31.36317677110198,33.0753399764626,39.43997710281956,36.81816734729314,34.732466279906134,38.83397033800226,40.50443707969152,42.67102536651289,43.88826833468045,47.40743524671739,45.32205972658576,43.34925776444661,48.893624067261996,49.37943031375916,50.55102320800174,49.73053521879803,44.5713196382529,46.734316150435085,47.85916057876146,43.85579589441672,42.287859186060615,45.909764729090206,47.53922400254402,42.27579603598556,40.551183590654155,37.29481080785876,38.47474314802779,38.333430570274885,34.97539059920536,30.489898376500538,27.02372579288476,23.59918069295887,19.85878804581122,19.036092071575826,18.91237224130538,20.723540265311225,25.56166241922923,25.35654768221434,30.533430632343027,32.32605122391501,34.17776384276288,35.383591729243385,38.414809670092275,37.85540889396492,39.746153938863685,38.7179219407393,41.463575819955764,38.49993731219551,35.30938994595298,34.87466441512807,34.33921502434603,31.955145689290852,32.47709346316328,28.701387730934474,28.973535416280086,25.405476892350368,23.982336825233304,20.556942227774538,18.353178049504226,15.582396554478331,21.106132495972442,21.13221238127813,24.450953437848916,26.75723852754688,30.041862837078668,31.369296889244264,33.40796010672372,38.25658758268486,35.84349534095013,39.92877094909533,41.13341087964348,38.55398800639631,36.247957733493486,32.51677609185654,30.497093361850368,25.849129404936665,26.20966927481585,22.196722031329493,23.55270244539707,23.534713207920266,25.8890343245533,25.114197526293292,21.89628360254588,19.94731000638379,18.543123738783013,20.99357116632851,21.206881401561503,21.495766195087736,26.778604721496144,28.512003278911163,31.236751345351667,34.672844762311776,37.434727255965534,40.0504796478659,43.57783748775819,43.8409893346037,42.32004027928291,39.82765204362346,35.389974299994165,36.174801516050834,33.09036055553434,31.042789054322416,31.17783830862442,32.16583246747717,34.049819116528745,30.634558458922545,29.847784100964574,31.592164460199566,28.359019941509594,27.30860164461772,26.070676770733265,27.55194388561263,24.438875980120834,27.45732703401059,24.144957793579486,28.33142752408493,26.0942465883809,23.889476180335233,25.875635146249195,24.180502065700825,28.0511832164334,26.785203556154954,31.00894279534104,31.784872272148515,31.101146736305253,32.57770603425548,35.26871043217335,38.46899289746859,38.799780864437935,42.12706917417824,45.0383497277851,44.13575677509712,40.15848456730995,39.745730839644494,36.16530448560425,37.32534922851885,36.996563574571155,35.72784177281555,35.741822885269016,31.728377249827346,36.56231001340739,37.82448421276993,39.901952483612945,41.01614171569749,38.31074948729902,43.677129394878534,46.50339144674122,43.70503077411555,44.16121732421002,41.17066642073002,46.42738038790871,45.625588489759835,48.201331690562796,50.4750172164923,47.7170624788529,48.47961753446053,46.84183532682614,47.847922775421054,49.04685282361548,44.994933845347575,46.36051010595895,44.92464869179904,42.0964221866232,45.742722318394,42.85678124762891,39.52012269731384,42.5873355490412,44.41837782914411,39.78631054977481,39.11250723585574,43.11904173258254,42.782620984714335,37.91625162448451,40.282581575506505,42.480852837171646,38.39288282650516,37.17268821045186,41.844105090436734,42.54224037004854,46.62421682244519,48.45330388205184,47.66648893285678,50.094907893873014,54.67830618074053,57.5898859530773,59.516826617677644,58.855759324739346,56.85889298061714,58.24726109825416,54.80188441724071,59.18573703624921,59.3782725745161,53.34625389181778,54.851781084820864,59.27306619928558,56.10436151009006,53.02860328192893,55.55949424432384,57.33062740164411,53.56083378632175,50.76108685325066,48.244410187140936,47.870882785397995,50.862101606543426,50.137384418122906,50.26139492864641,52.20300899265325,48.12053494883747,46.3744842937415,48.469690539896355,46.63992664421171,42.3863241997074,43.640387800930114,44.31678743551786,41.43654325255058,40.6840469515298,45.534777072896645,44.40639830845151,40.33895289191295,44.022657035362066,47.79118135681023,47.98699058151013,50.249455497437076,48.87790820335983,53.14006504402837,52.772955771634535,47.69187237686832,50.85298285639848,53.559651891098405,50.91201332783393,49.213173835357814,55.20719171684384,55.11837138698391,50.100720424828744,51.80177474739871,56.9232881212984,55.78995484356353,52.0494368752217,47.652904099715805,52.07915203536935,48.1846794287483,48.62169965976423,43.39987924292148,42.31890802485337,37.580991887373784,38.487748516722505,39.832020084005876,43.17219832196416,42.763255789409335,43.273724017486956,38.080171062555465,39.36179298177469,34.27048660284311,34.24238530181935,35.465307392029395,37.433651055828605,33.84780882584854,31.794029125396946,34.38289944832491,33.37335686834444,28.17997781260027,29.646851730507233,33.13151900256553,31.83331043853732,29.184099170723602,27.82391432326116,27.300699919234077],[29.508175350514794,29.457711998709232,30.327096293293625,25.83629069428627,27.35393173952473,23.209287905300428,21.20560161534202,21.891532838416996,17.022068534425703,15.312941528785666,13.668415618369838,16.933210214381667,17.977845203466966,13.483522830948104,15.455277432952505,18.836024416423307,18.964226482140543,20.91530762077602,22.835457085408375,26.70592620127174,28.920008182371355,33.32613153662271,33.673506011365745,33.989372143860706,32.19719016157457,27.709427436531584,27.631302853299786,24.029357629807173,23.454043234726157,23.500053383688517,21.824504466714075,24.418068515469127,25.881136049095346,28.454579635416806,28.332914586956555,26.859651781454424,28.450886279995636,29.463046361147253,30.834025189564755,37.29311661770583,34.25363579603796,32.43045969132917,36.66601434738152,38.13269185966132,40.064768251094456,41.12262062269253,44.710617942524394,42.8865626329903,40.8331992056442,46.31932249625268,47.09641008796811,48.3822665958999,47.76359737822954,42.57434714679292,45.016234971250455,46.065572963361774,41.97765701720498,40.70471508782149,44.49758924614982,45.8591173575102,40.56471206940945,39.22629223752422,36.213992336988305,37.181938459791105,36.68270974014535,33.372517912121964,28.807728026589103,25.552055349730537,21.832942391152873,18.455700874463304,17.260713536572016,17.542874563018618,19.81185523574416,24.43362255008274,24.47365137118887,30.05794487211048,31.373800306410796,33.6806067008875,34.512757338796554,37.212885470775525,36.67846300707347,38.177905716482464,37.3075506905704,39.65939356623494,36.44172756392956,33.56820084494676,33.185205250755324,33.16125855681774,30.685094484690612,31.944820363586775,28.136234283411397,28.87839195280283,25.426688943376618,24.170350936427763,20.387489406156938,18.833935869824227,15.555541600700662,21.138886559818374,20.98396375955766,24.710693240401593,26.367296197551564,29.447566354215468,30.385492384674198,32.20968810811758,36.6541646450412,34.06880243423915,38.23150161406351,39.10557044803832,36.480806166311766,34.47544878074187,30.57606168210074,28.34747661932711,23.73018023946883,23.627017359998803,19.618474000025827,20.53463115139622,20.639359779118667,22.6416618729692,22.202265522385556,19.32993017219447,16.984856846892303,15.588331004489696,17.611754916230353,18.053043413535967,18.697292136954434,23.90901048651617,26.15204212959808,28.719982566178704,32.247217180714614,35.137661956555846,37.460690975072495,41.169097471321344,41.22429880660552,40.00483536719086,37.131104632219355,32.670999045496586,33.237498823020616,29.94849407564913,27.703911020222986,28.04404150330171,28.73915623453846,30.774423819990204,27.564253271972564,26.829630374129188,28.83818846715678,25.927960390722646,24.68493762900992,23.857606802601545,25.531948203686742,22.675920070510955,26.050250815479487,23.295645590765968,27.89446498482366,26.295769315826703,24.138206880385823,25.618038470682567,23.41483154745584,27.002237622902125,25.48018233773824,29.28711415421368,29.497237478981134,28.93522364561561,29.84604357281573,32.81093992241367,35.72939411311193,35.66418752132264,39.12120181167476,41.85258191503361,40.93528747931871,36.90614930574231,36.68139555229189,33.158998332562135,34.654637060328156,34.618513975893265,33.65852245775152,34.039590582236144,30.19435766163682,35.309115351922514,36.10161617338936,38.193034040488115,38.8516939114155,36.20813230285585,41.39561189491077,44.074850117127205,41.143427684411854,41.65755392746711,38.67449751072347,43.8734934928127,42.747187076471654,45.389406804835744,47.55434170849708,44.922332422577156,45.6083786648756,43.999568359309826,45.062865661066276,46.26339873422278,42.19075837585043,43.77736256046534,42.39634872946874,39.821279080875954,43.61188759026102,41.00211553456106,37.47897630300126,40.398954876786426,42.54065847175246,38.01210993089357,36.91868033182244,41.14343141907691,41.259539264729284,36.20635472754745,38.45612725858959,40.93197317678792,37.051376156658925,35.52660413013432,40.20359702051712,40.620007903301264,45.015863332448404,46.29078179905784,45.63979909505625,48.30048889542106,52.78990710554584,55.924746827728484,57.67691594502181,57.16574341198139,55.06158001135297,56.502671636817205,53.06329539779911,57.297465258297315,57.38666164865137,51.262491485801256,52.77775669453504,57.02455084452462,53.74322745525214,50.65319561670808,53.11774452846568,54.709840005416744,50.92677867632198,48.07479771642285,45.773900994145016,45.62542206453323,48.768676003957765,48.2876943455045,48.644325088308044,50.87450906311663,46.82699491413053,44.7813492682854,47.14145346942747,45.60250696252129,41.14243917074878,42.25561435275247,43.31259145022309,40.55944032808604,39.492844035252766,44.449067562152635,43.61952676499115,39.499430023966106,42.905700162209484,46.75239120056982,46.667402688001765,48.91848277180541,47.421582827056625,51.579479682831135,51.20792870136201,45.94342328702309,49.00220494637804,51.63137769839771,48.928017591026254,47.02679501043183,53.0160287926958,52.85532176460004,47.71409396915018,49.30940430697974,54.45307632316344,53.25432986774789,49.43524870663283,45.04617118177449,49.362876616576145,45.444444613335804,46.18902836871734,40.91293178192199,39.99733873137933,35.37186249621389,35.96710930995174,37.18349434477353,40.38028566641211,39.949330818451685,40.71942646461809,35.52038912215029,36.9038272690128,31.781680986920293,32.127745870113294,33.74999550005363,35.98136953757385,32.6743467384834,30.171568519213835,32.906612988907966,32.371692676358926,26.973112814164345,28.143368326994977,32.03718071147411,31.21593874207647,28.679195822264784,27.574841766793536,27.09730925780401],[32.7480230947734,32.38134426765321,33.02865833087348,27.929259623802835,29.350145780364862,26.311547956385766,24.160031004226596,25.524269163451397,20.89457214045239,18.378342127823057,17.28897473637153,21.05995355136634,20.762825678454515,15.873868315753265,18.00126578194351,21.213901742574198,20.22838028170723,21.491892243334373,22.02784587914875,26.39673446027116,27.85527436736315,32.316483154128946,32.004068986210854,31.970639060087873,30.76394335198623,26.344067026832573,27.044658505659694,24.014529220184574,24.266042709687138,25.31240072686591,23.597600965763093,27.042237293501252,28.730864717001314,30.59174778867183,30.254972977372724,28.095491828750305,30.294020987113292,30.160088912938757,31.183764450279263,37.62460463976452,33.85649272330085,31.907658415200576,36.092726983389696,37.53765278146523,38.98766260879071,40.18759826251673,43.61839451916028,42.122791823421906,40.498810160501954,45.86415399468789,46.82098351993084,48.47582989435049,47.862366170391695,42.89809103848048,45.50436345735268,46.10088660459015,41.82071182028415,41.042906478276066,44.79208271220121,45.554501792930154,40.12939756525949,38.96676160028336,36.3239077554186,36.461163165190335,35.91030180739162,33.09418802522911,27.94329275990782,25.444125615149748,20.984980230284748,18.53222316348883,16.443926199872603,16.164453788848363,19.511604083848454,23.62171504410476,24.772959182897498,30.315672435333365,31.70195078687947,34.578540528233574,35.3893151343187,37.83807398488781,37.908522704976995,39.179816337102224,38.99471913093361,40.92819659162861,37.34153742546583,34.83178000032979,33.93119210311427,34.70619763787145,31.511045399907356,33.46049002699354,29.343951664601736,29.964647930033685,27.011637610054372,26.495131389047888,22.976263963018937,21.810715761796097,18.808482743953473,24.61125045809249,24.850736914448483,29.156516496167058,29.88244265738821,33.20542960984513,33.369173446312,35.37576414632542,39.21514702043597,36.711232959085166,41.01833072573077,41.48616317902044,38.965060111407695,37.367936041716206,33.38624883964987,30.720022100601966,26.335915914715255,25.316019413692132,21.16669875199608,21.07067530959853,20.739184899675625,21.65867597585197,20.732632505830104,19.00931488901995,16.343559805287324,15.931428813670907,17.337075630794384,18.78212418772012,20.42948188004825,25.233387994444023,28.486625153683956,30.598297775771886,34.211809390602625,37.089572835842894,39.0212217828316,42.951449272613004,42.49282950198223,41.69370459158088,38.24098197941294,33.81156284419572,34.160438930014955,30.310037755475694,27.506158947908183,28.079279786988845,27.591808443815435,29.35605943430289,26.581402084020848,26.49162260509107,28.7600346967739,26.58716368814815,25.44523765391069,25.574005114906225,27.791911048193935,25.611693226708063,29.470848901099107,27.412623883414675,32.24926398303785,31.2547281849094,28.959387635001658,29.909934395123987,27.20225541444353,30.54482697859501,28.423294090601015,31.903737265324512,31.12089094790782,30.23226893680215,30.297914203645487,33.389531791735884,36.030368189961024,35.276316232562785,39.17302220164337,41.432300206065605,40.780880790744696,36.64627652694021,36.92765775567867,33.44520061920098,35.42305814661161,35.77521060993087,35.166461092009435,36.15963654201826,32.381901430182765,37.709155152388774,37.80391068078588,40.11796980040052,40.109389851152024,38.03450079253198,42.82651191538664,45.1620391841929,41.98589551969423,42.1357625547267,38.88952482512108,43.87739734688927,42.182298899553224,45.258154247418894,47.38553647515771,45.1666393412995,45.97229459905746,44.62270407834791,45.9258229224685,47.266937664020446,43.28133542298254,45.32934912809852,44.14171016769768,42.02730087184865,46.0409906277688,43.87105170498242,40.12243267261578,42.7765742486627,45.366256427270216,41.0301341230222,39.27508230109029,43.77345752403816,44.5298566390285,39.222685856592676,41.20333853231863,44.014988885033986,40.43033243264537,38.415113115406115,42.969328862532464,43.05153500454521,47.86554585785197,48.34019536238264,48.03490216725142,51.01115036824212,55.39249250512013,58.7734167955097,60.35060413426802,60.10966015616144,57.89402921631094,59.410485467056525,55.992698980289674,59.97715074235992,59.926414002642126,53.70276992703301,55.19902645939939,59.14307363244325,55.70314432461197,52.60129666935789,54.889519935516425,56.17456839179627,52.403020398502235,49.43319399182446,47.603967028686775,47.77882571055144,51.14925950860211,51.081622469427934,51.7175028374204,54.31836000491581,50.300283304139136,47.93760623887354,50.64794161217117,49.43660320997271,44.78264759080566,45.7416428772972,47.219425297656485,44.61839935370325,43.205482100593294,48.225037372029206,47.69835302805854,43.51313375261785,46.56896101673696,50.48496357821757,50.09570893683756,52.37401081559036,50.76730629515983,54.76177598818427,54.339793609297395,48.87526382671302,51.803414441136326,54.265711645129535,51.46625852125894,49.31610628263635,55.252177912157336,54.90521119488231,49.59690587793517,51.05200001461557,56.17305386395267,54.789805126820816,50.84507218039979,46.463317084200895,50.44246138980656,46.40751942722771,47.69638119897321,42.38945870381074,41.93804623260848,37.539939585751284,37.45594837104314,38.562426804222845,41.43579044417677,41.08953286834037,42.41658076571831,37.314790596141236,38.86563086051408,33.77578761010716,34.74895615371454,36.90374758361496,39.45224016307356,36.49395882623697,33.51915145653153,36.368859148568696,36.381731269687364,30.86617395001947,31.59666271977647,35.849219531604234,35.53997736401885,33.15867742687814,32.29220101414064,31.840308995317518],[29.36870466027359,29.644270882950025,31.232921347375996,26.47561031431684,29.031524627507356,25.21583820830128,23.98942392046685,25.36677938511006,20.643291032365852,19.57649230313652,18.578213234892935,21.895513322587647,23.008175130945386,18.462503011173357,21.032503837135366,24.352524756349013,24.056140991039506,26.12352740868612,27.503430321260733,31.592607852992177,33.535103504391834,37.961461839164855,37.951118427215945,37.90624014685154,36.37434914992175,31.891301666308784,32.05531917667318,28.595511032450254,28.546082435955036,28.82827857929511,27.48829268101966,30.025874303766834,31.602061472641143,34.19591136038733,33.994068906638056,32.347103179801266,33.88871136525147,34.56732412475515,35.62904287393506,42.1297337114143,38.65576884777156,37.08893568921425,41.395986580761615,42.68020679422424,44.2759617767636,45.15960508709571,48.776517833135614,47.31000813480974,45.23512183713931,50.59785473275354,51.70651142684032,53.10695428567379,52.673875048714784,47.48734171035994,50.142883239913075,51.11493081832277,46.953224729542185,45.920032908592795,49.7800520104177,50.89767384677122,45.56363625207955,44.38751624419123,41.52814803165268,42.15080682391533,41.58125178421637,38.461179869123484,33.64940638183853,30.71816175530431,26.641423278779882,23.65560890660118,22.03913309609198,21.96906568057075,24.820119573259674,29.273119937899747,29.80688183603366,35.35293246137239,36.7545942141775,39.231171955571604,40.05095109190037,42.637206003172835,42.17234094981107,43.45491981291711,42.60869011955613,44.68517358885593,41.30760444691694,38.712366854982605,38.41328461777645,38.65963504623462,36.1271194487339,37.61900672371088,33.74831753139028,34.39600912814413,31.039752486758054,29.885100650162567,26.13637893518017,24.516867183138025,21.27239547631244,26.768710019422826,26.36770049838916,29.712374378813976,31.743640798547094,34.368380055141785,35.568287452618776,36.90213382012994,41.21497476327317,38.203056659699996,42.17929069601443,42.71442138896721,39.699145501029385,38.0524501519662,33.81677627479882,32.034101178180016,27.378848583827786,27.258720062778387,23.745105536682864,24.185609095492744,24.753463412703663,26.09609000498719,26.119907967340357,23.911704887074546,21.11771637347512,19.770430446474677,20.72868359195887,21.202841467765715,21.729491032092692,26.79537966879547,28.83364642642136,31.804057587600642,35.343851535403125,38.73868148366911,40.413215665036894,44.39073401791083,44.548561951717275,43.812595437508584,40.514656124773424,36.08771854610391,35.87209591968608,32.71013699458808,30.287924456533652,31.30268910554535,31.552962135598282,33.99547361077921,31.275702017944596,30.60955359046103,33.02697182118231,30.52613962598789,28.96881793399706,28.40846163540393,29.924614264630524,26.940002515101806,30.115911282421386,27.396347676722023,32.082366529531086,30.04415146043186,28.537422923745797,30.333238516653093,28.279395131331935,31.620350483587472,30.442695578047356,33.753261132462626,33.76575534217268,33.64309962719455,33.90458562998366,37.26449479878778,39.715384493586086,38.97157676823338,42.49550073565566,44.899958980696034,43.70416728362395,39.65349011063972,39.715711305829544,36.487481139457785,38.55284384454923,38.91440482876774,38.31645859787944,38.87176854243739,35.2750320374667,40.501780702994026,41.10355533400158,43.072013535643016,43.40572567734321,40.51284599229572,45.55766826638407,48.140560017366596,45.12722355992349,45.9472410399838,43.082952015039936,48.182428623163595,46.60232054858018,49.256616214663566,51.16509898102198,48.6676397219678,49.0397490000169,47.289857328321496,48.223198110524805,49.11971477538178,44.81722629238191,46.454023397740116,44.686856456991656,42.44819254673451,45.94860482494976,43.558454230605136,39.91369059012746,42.2503348229314,44.455703437888,39.89765954992534,38.19044800809422,42.37633558766595,42.75740803422345,37.27315754604502,39.10734924390713,41.59163933304699,37.78352480201725,35.73524357226067,40.144302857446064,40.69127791506996,45.20678355966678,46.40877122989632,46.260327958836086,48.95608397257667,53.681930806746074,56.66127947802093,58.744751029012406,58.67546756839555,56.84772971122797,58.63993948180863,55.52585536962535,59.77779952314969,59.43961130945838,53.34877201330271,55.26456600366922,59.2752676940211,55.68505250529707,52.86583875925692,55.58624043754567,56.645015819086325,52.65584757422919,50.36158976722205,47.87086431160238,48.42943853933769,51.575847597734,50.91501003966784,51.65747463830347,53.815464929538194,50.07157387653596,47.701064196095345,49.720900567540106,48.49077921908805,44.01673953668553,44.57963317043717,45.57380527294674,42.80079593691165,41.34451017623377,46.17970431599131,45.280669669034914,40.86742209590792,44.02742087910667,47.9370470020992,47.88095315441446,50.51904920929503,49.39484557793274,53.51665813412058,52.62562479862566,47.38056888781804,50.8146911588479,53.033272279689655,50.08124932070835,48.52616641156053,54.52340414294002,53.817246396356694,48.67559125997828,50.70742660407825,55.63292820079706,53.97107821908627,50.11399611578781,45.53871848295008,49.50234739284147,45.27922735877967,45.988078672898375,40.76610497430889,40.419342780666575,35.78698213207162,35.880125355727316,37.522990346039535,40.68208188178426,40.78001160279598,41.958155334765266,37.147237907169455,39.138070083799605,34.106766519109144,34.1660448463828,36.469504020842386,38.509917534443304,35.60950858687524,32.70120538976121,34.789273640707115,34.49014164689936,29.440642227820728,29.60496439878257,33.304239394012534,32.80348561341064,30.564603677675986,29.762489407329788,29.675888952918495],[28.78237317186395,28.610259404214748,29.983797549044706,24.613627238084046,27.345045257313924,24.882003513756946,23.859885425082094,26.258311963197187,22.01156857410445,20.62791553832488,20.68246894393015,24.557024860625738,24.48915865141809,19.806562536838037,23.332862259880592,26.350914765575585,24.897956312768112,27.109447125251002,27.637867551217912,31.831865771589523,33.48108770343643,37.77774866895595,37.38611093949369,36.730737884838085,35.38666395743574,31.01718014983196,31.382771759208193,28.244153246640707,29.157688076325712,30.104458965952727,29.78174918688051,32.318117104054934,34.57137409961829,36.969272357647206,36.11629568467726,33.8298132894651,35.314756908575006,35.032386920238835,35.46929583800592,41.91684793908739,37.75677223919713,36.71130301695794,41.10167588059099,41.993074580421144,43.0579486887316,43.62075607866512,47.264758968284504,46.366433195433515,44.230973131095155,49.34315196687454,50.98775076378789,52.582916912799725,52.5096046380668,47.384528795764396,50.45854523989506,51.26713882623033,47.0332306595319,46.521607325387464,50.560111104700376,51.19139130699228,45.89772568504575,45.32005462268855,42.89912960560923,43.088076480289466,42.0363083479226,39.14944318324629,34.28145549176857,31.87534157326795,27.484243616568687,25.292367317528647,23.185830891334103,23.445245054174087,26.86080456376986,30.77333255887279,31.771621911343615,37.60480052391885,38.42994701046623,41.468528687481786,41.81420691960561,43.884807094932064,43.5049050407623,44.171903459759136,43.57901088738467,44.97694049590536,41.26586343553148,39.28251918738853,39.074634647335834,40.08385749774245,37.46576167972694,39.90658812487578,36.064910236029135,37.19955324948873,34.09422899888158,33.19307177401875,29.205549796573482,28.271234232149144,24.694358427780216,30.01605159132045,29.389176447584532,32.97562181194887,34.31250638697428,36.4910300126878,37.24963522304789,38.11362010028629,41.71913276781558,38.395130920308,42.30297114269134,42.216373264759156,39.053846557444736,38.039398761746206,33.566493102792755,31.73742364366645,27.346793726399476,26.547080409695155,23.51380306204876,23.026017510684476,23.949447199366272,24.297003058723963,25.047840597634487,23.83743693992054,20.53457362103905,19.40455970214853,19.001485255981347,19.83773928117738,20.823545372310836,25.308873672955986,27.9342369682062,30.705539342198996,34.251466231045484,37.9454270122927,38.844961862708836,43.121692121521136,42.997971288808735,42.94059778916271,38.96548087149315,34.65573410618689,33.73513727258799,30.41198786687785,27.66363196165495,29.31964789489258,28.822561120094555,31.614555060684513,29.586972417048205,29.084981293410447,31.97906167271445,30.250672713358977,28.372913334159897,28.548791390857353,30.192464110738563,27.67018463704659,31.08130450708502,29.211530937107643,34.24525617886881,32.90349999117105,31.6751988265402,32.921935743037594,30.39310077934357,33.17536432131529,31.832549842538246,34.29077801771366,33.431423721090006,33.65263932969498,32.80960394841332,36.61341109658125,38.37089143059302,36.718562411579626,40.39345971294761,42.29845951222426,40.97984639421593,36.928899762234856,37.44041241441883,34.541794135376996,37.31918095743712,38.27324689449838,38.27941364936794,39.39540144386884,36.221273540164766,41.704456029417365,41.592247667095585,43.4918834315758,43.05149486354233,40.23368834756453,44.8347567066604,47.103782691952375,43.91924393591088,44.92334443105096,42.17863362080035,47.03136278892903,44.796114187056695,47.515826113415756,49.11429098282942,46.923261711247264,47.03777773248286,45.30915120536367,46.26019848552379,47.01169459951335,42.65571081246313,44.634555161864185,42.81854339984088,41.174654856193506,44.6959798572936,42.868713262484874,38.979078175502345,40.77419610104357,43.441098457853776,39.13419687602142,36.54164343254122,40.95531554002101,42.14232573859962,36.32184559568606,37.735600346864494,40.602094438244926,37.2404477374671,34.53955656877614,38.71960408424552,38.85825377072255,43.84421829512863,44.09582590849568,44.40468253138405,47.441385895263075,52.05420025147335,55.27406087935744,57.20681595853332,57.55635230769972,55.7016396137457,57.696347143535164,54.76299008073268,58.74323348391907,58.07568518380122,51.935729371560384,54.00758375675298,57.59958974830988,53.74555385743034,51.06029381557951,53.7483952716453,54.27859410893301,50.22795559534232,48.13513426104443,45.94644810308466,47.15216259873166,50.47760055376312,50.12211784480351,51.35171888859049,53.868848656452926,50.348153468427405,47.461837780774125,49.69914659607895,49.02458474848489,44.336141018990084,44.46934536894391,45.97071750066045,43.42737279990702,41.4006807815474,46.24087175744699,45.7654195523543,41.255822686109326,43.84044527377999,47.81815850109091,47.3546689732828,50.090105057127815,48.94803093544699,52.83556939360997,51.736628282123114,46.303571981980376,49.68237469643467,51.57300981452455,48.46917877070514,46.77301652167022,52.67764248684099,51.624058325777,46.35485455053189,48.38528515619698,53.18265105706231,51.2212186202239,47.26501815363504,42.67968953945217,46.22860751151523,41.86582461952576,43.075449712092684,37.87528387325481,38.100331238229266,33.767252904594734,33.068150310465136,34.67193340200419,37.49544608048338,37.825416792807474,39.61604202807143,35.10250895028546,37.4876530935109,32.60882021823708,33.12044735649135,36.24192655581087,38.52816006335331,36.26927875865309,32.6621926971798,34.621922456169735,35.11294920534067,30.105117130579767,29.420400042691533,33.49658226799288,33.8216440633749,31.930465818659798,31.608500332660498,31.71303667611701],[26.23788747881383,26.744490185968232,28.991765429725895,24.186282953933755,27.80005971099497,24.485268053747678,24.238698077329655,26.379277094454494,22.149992727313386,21.952329021975896,21.86475028865747,25.18231943870222,26.30270770758267,22.015740408594727,25.50155090974677,28.599611653441492,27.886103342289083,30.54786346189142,31.851446589836097,35.82193127130208,37.883709014079685,42.19006805724673,42.127303677612005,41.64455905689801,40.00764939108152,35.57260467836208,35.50804076452276,32.00986313542282,32.451971199626115,32.71518863216585,32.41422053787491,34.32124584419558,36.34548969787218,39.268255891553494,38.641656584436745,36.85928390389652,37.896082590675576,38.41007450720823,39.03298467258909,45.501573413797445,41.760094277026674,40.84783661524811,45.29156754993459,46.16902512756043,47.48650708822636,47.90335853654424,51.666877557356734,50.63445472770633,48.184756102387524,53.3422920723641,54.955825434845636,56.303919673135645,56.278988556714026,50.985421075194644,53.98438036119895,55.11131512276985,50.99197186365684,50.16645057672701,54.23947829441905,55.252360439829964,50.01855773362623,49.291314563711964,46.6107657749058,47.25878458986998,46.30318972943748,43.13476504852523,38.51852804981162,35.67777476536307,31.615348693847995,28.871273927065598,27.17935978108305,27.493710259058368,30.46994202297674,34.75600913158856,35.224068299263486,41.014148091948464,41.96312821707149,44.59987627907302,45.045984741360776,47.324944079961135,46.53942229973245,47.35185016296369,46.22102623410519,47.87221635046329,44.417777326806856,42.236408051559096,42.4369984835403,42.8892185277906,40.76688374751626,42.67610585958054,39.01096533610897,40.07441614852869,36.65025642175859,35.27496049184127,31.211907445244922,29.87850547269144,26.263951191499658,31.312982065375408,30.296789236561448,33.08349631450932,35.453102830082656,37.1690012479835,38.763115261795384,39.2121503626523,43.280067295829376,39.674466198678765,43.29040916230054,43.39149466320611,39.91073167085891,38.737849400534444,34.187959160636396,33.097084754476334,28.54377740165973,28.596915883012453,25.982988912891553,26.12886943594265,27.531851489843742,28.463778072998,29.591432555387367,27.767489647273056,24.585339804302638,22.85055054167365,22.595776721680465,22.62927537474954,22.642158263590325,27.300494198075096,28.754008292893147,32.18527311678114,35.60068117957027,39.57215704278164,40.43917159649723,44.62878231584817,45.06180622769275,44.890146421616876,41.24647589984083,36.97154925384089,35.80882082777473,33.13143972049322,30.829188904794837,32.59014137277233,32.86863508605513,35.99890137392979,33.816243756360784,32.86706213326752,35.690547846424046,33.53857904060339,31.486021353491463,30.987133142692684,32.06775108794279,28.9128374701173,31.681499416782216,29.200951958940582,33.9464076069718,31.718493915729184,31.099730958102555,33.033346549202854,31.120925169866595,33.947254520159895,33.352643015573186,35.82638744423966,35.76918377380063,36.45658678979526,36.05299170968433,39.89031758845035,41.67680754941366,40.304131461853416,43.61191674055019,45.74915933222164,44.05550863298628,40.121594996617624,40.33063555449488,37.57689223457059,40.19216284628066,40.99114873846481,40.856554061253675,41.50871666962394,38.40464061080093,43.707815522691604,44.12672061680434,45.77231529791769,45.77305436131663,42.34811179508318,47.202256023416204,49.71871234677104,46.7281365994483,48.18514200309706,45.71272355462913,50.685773852145445,48.73067858196246,51.093223643547255,52.596950045947445,50.12376437208891,49.96886263849887,47.93736007811472,48.58254866192752,49.010676090611966,44.460624773922675,46.00244554451002,43.74705061510128,41.88647713706597,44.9393703477028,42.83293039531932,39.13089525592589,40.75058344935184,42.965591775925276,38.47426804208848,36.137598405693474,40.176293147371226,40.87014955434394,35.030111649897954,36.37423722984587,38.84774324474389,35.24577653185606,32.6610913242526,36.70498297418991,37.339453192254055,41.921475384735636,43.00721748270974,43.35257522707127,46.05079716536345,50.949900117176675,53.75791471727624,56.14049798217767,56.54555696034834,55.03389929400921,57.20356378357584,54.50464538456702,58.73534996314279,57.90418569056259,51.92925940876253,54.297286327642304,58.01165318035055,54.1209748347314,51.660539079444526,54.68916271038985,55.153451896411696,50.97102074901335,49.40542450709217,46.62401667735006,47.98465768047723,51.05630217347237,50.153726965389005,51.36006427376837,53.423977418818225,50.1132263268027,47.34735248227933,48.95382648372764,48.1676031284618,43.71362007730306,43.59578031840596,44.585101077210865,41.88492636817667,39.940691179335374,44.57214118438871,43.71209348793499,39.066474685912475,41.809813657824854,45.736702368887876,45.63654791123569,48.63968299256274,47.91831891699892,51.92713275203284,50.481362360053126,45.3162241702246,49.10530522934419,50.84304464895442,47.66614314737889,46.520729520399314,52.447836797606726,51.17603557385224,46.12142098723449,48.62162248461352,53.24616509584356,51.13466356802811,47.308508152902284,42.60508423361489,46.205817302200316,41.75977798868399,42.32844216978448,37.25226092097009,37.43892992769217,32.89625695132261,32.53896760134052,34.60251542619468,37.71355830080275,38.3656165594348,39.85778644550211,35.59185468693917,38.21487008045381,33.437152017938246,33.08038409694769,36.108001624184965,37.89079775091908,35.60310660537448,32.24036754534282,33.53946029361785,33.625199985813246,29.11154774535548,28.08482138379844,31.530901735404214,31.565757872289968,29.790216765330765,29.478844220071196,29.8619372111835],[25.00033200524862,24.93180149403686,26.807626395920867,21.483271160069023,25.16200308376471,23.23636140127024,23.178854190793214,26.20257001981024,22.562205319280093,22.113308256468947,22.958519042909632,26.658232307303162,26.740643077193166,22.529911516540757,26.76381346216205,29.521281679138035,27.892188210843358,30.751604722715744,31.500113109869787,35.38316414498742,37.30862024426013,41.415177639756415,41.15320601891736,40.164739090980355,38.56701968758677,34.29893326676697,34.23617294545737,30.99766593060146,32.20426984706489,32.93441767095123,33.63927850875873,35.3870356244144,38.02563272800503,40.82806695757269,39.58735972200058,37.312635043933604,38.17008313114069,37.93286973778818,37.994699156788556,44.326967225708955,40.110895683840596,39.768082322351766,44.25329129595228,44.731935731552,45.625815234700774,45.674238937489584,49.47201916429628,48.93747613871719,46.33779522399445,51.223806685921595,53.326330853810326,54.7744335920898,55.11611919943596,49.87397139702487,53.23656751341212,54.294649796886304,50.17880407014221,49.77309535432299,54.010054681914056,54.664599834047664,49.54309643614191,49.3924272692553,47.09171495439231,47.50469219694672,46.073421458762354,43.04305576887865,38.57029275648331,36.10492695273391,31.967940159772937,29.83260575309519,27.894705432672954,28.6483866456116,31.883361648904987,35.70892762465471,36.371453112022195,42.415339784715556,42.74348486433044,45.8087770349053,45.766113550233236,47.5519060206587,46.73120405763099,46.955532101732985,45.96366411767457,46.98867694865171,43.30851483065951,41.699113134884264,42.0917914243349,43.15039060633768,41.107340787274715,43.822440974646106,40.28150020204473,41.86305608622998,38.62114710603133,37.38577823699378,33.09087781818649,32.39889244514424,28.48391540281339,33.260854092355395,32.01223608345007,34.97954728831438,36.676375963850184,37.92194399582278,39.12044147434881,39.08770986860315,42.46710617644517,38.59527603710981,42.090811453144866,41.62106782822789,38.036832254331394,37.460619242489166,32.7625538066466,31.678507286574327,27.468617118743268,26.970019067605403,24.950950705979103,24.363108772066173,26.172563002616915,26.345449279972268,28.285676846670135,27.205623338779937,23.71773902327869,22.05593813746651,20.60630952859754,20.75523911156803,21.021822684310475,24.980912431894012,26.843102374552306,30.049004462723666,33.39825298906892,37.604599782047,37.74744325339719,42.15638741559007,42.373551577615544,42.811677491567885,38.628296493690044,34.52748260591285,32.70760858651815,30.028616458116996,27.57677459016294,29.9062138620114,29.72315185827653,33.2203641370328,31.66387362824914,30.737130630110226,33.91763075127327,32.42154880939687,30.076358052559538,30.144894086508767,31.242208554734017,28.538348908196497,31.437585016105754,29.808955745194574,34.80096690730435,33.346685105750566,32.93740227483144,34.28782264864841,31.9612956204944,34.2146039404202,33.516150621177495,35.14751604312779,34.36596640137536,35.44107511217216,34.10526047378095,38.296513758811045,39.41749598857548,37.304051810410485,40.616589952344164,42.33540532796136,40.475538682453845,36.612248020662555,37.16018338824992,34.77358665268253,37.96829807538776,39.27683464583147,39.68670552950823,40.79197335267456,38.141514544286245,43.600356053570636,43.40704883218575,44.92956079529233,44.26723286725947,40.86609013269707,45.283527245260935,47.520659282543164,44.43269562568069,46.131392890156626,43.864190141394886,48.58369402973297,46.120618848213844,48.42182499847512,49.61011635806771,47.37551320067919,46.942016730215336,44.90212157590761,45.51814963744904,45.782134028896564,41.207806178520954,43.01461728156994,40.72382331942444,39.41390656024902,42.46436610586464,40.89725252767312,37.00545265284974,38.12478995212017,40.76398735124327,36.5618152184595,33.429181239241586,37.66687783816217,39.13647580165097,33.062234903075904,34.02367095148031,36.87965723182582,33.76431464826603,30.604129550946702,34.43204536924955,34.60513399941711,39.63894904540607,39.75539254479449,40.47661698526481,43.50519702224224,48.235433129701214,51.30880924204016,53.47333121984817,54.225107980482676,52.65460429783167,54.97238560594513,52.42833085600219,56.378598648367365,55.2745055004356,49.275637404345616,51.75228438141571,55.07658565753474,50.977824270724795,48.638963614951756,51.61875810104992,51.62579421649246,47.413757535217286,46.03043771073715,43.528362127111286,45.45306116270415,48.66432358493187,48.05946815392767,49.69880701836555,52.103261648190646,49.00749728532841,45.78471149274937,47.62280725084414,47.36302459195084,42.73232434706259,42.244087984052456,43.749374306944894,41.310793418158674,38.85313649554588,43.47369877420011,43.07530228087543,38.42060784239,40.579999363087346,44.54313568696117,44.01165218999539,47.033946983309114,46.24322899520038,50.001400740950395,48.42797290800269,43.094485888153024,46.76225917988287,48.220537704754435,44.93931823318218,43.62110962072687,49.43372777389041,47.89665335876654,42.73559577380435,45.186543582652284,49.695313110878,47.3593192634321,43.45239540566162,38.77077507460165,42.01839175173331,37.48551586834073,38.5367017764604,33.48088361467395,34.153131588630174,29.93860747608776,28.85237484403774,30.82304796258505,33.609629040327356,34.43935862453383,36.46012005106864,32.49360144361141,35.4419886872224,30.872766347915164,30.944376201074242,34.68460422091381,36.70094159022661,35.04627891021747,31.073658901206315,32.286658885524616,33.15612505303291,28.716319058433005,26.95625031593719,30.777470522086638,31.634578190136914,30.20345633367928,30.350045665749004,30.866674308041315],[23.200781567850267,23.527675112681635,26.194632266249698,21.3816765684889,26.05903615143155,24.552102603618593,25.528796753858533,28.832706973929795,25.797407380868307,26.247276435631235,27.474932910914582,30.830581199116583,31.276221422117814,27.506930155219568,31.987937305382115,34.59216801546186,33.02811999160045,36.24891567081799,37.17793779242364,40.85055086822574,42.9333080970966,46.90831448096872,46.720062954328775,45.533522058785486,43.8132796771078,39.64913838395298,39.321623081829124,36.044524634923484,37.350179358981016,37.840092294566546,39.083609747343175,40.27720063430248,43.04513509395966,46.15594407298879,44.76669162165128,42.6069498361985,43.021530971052485,42.93726755247361,42.7849760535092,48.97447835099364,44.79635932187454,44.91852551393478,49.429393045460195,49.635543227302314,50.40807462944563,50.08883495775877,53.96258182451373,53.69254056701109,50.77749605023961,55.45000694864895,57.87198407736819,59.18722972830489,59.82635143925789,54.52303865216713,58.05341613869588,59.304366231179635,55.29551316834046,54.93134371377193,59.27489802249795,59.97402112289808,54.98398470823166,55.063832828414036,52.80811798270084,53.37293299595315,51.758286217128045,48.646184771629336,44.41197451052733,41.89248350328934,37.91873013349702,35.75556320830319,33.93516646865256,34.839386830008486,37.97587964516859,41.810760948741496,42.27737499326404,48.38650885081232,48.51150181578524,51.51781432318838,51.29502446014745,52.94727249395973,51.812404093841685,51.78091740246944,50.453504918531664,51.25279287795263,47.66665295959982,46.300587291744975,47.126348828894265,48.12161685131761,46.502764064871826,49.26022118084636,45.918137617446554,47.68139804803634,44.32555417511902,42.84337540565217,38.41982136826445,37.74086008237344,33.70835180200461,38.10269275029977,36.43897894498276,38.769048291394874,40.939813951772486,41.446835089421,43.12410377594957,42.374737884503205,45.62990398291876,41.33962321165533,44.371955244145305,43.623170495016105,39.67479056588307,39.46205700604747,34.6759636994038,34.398972532438705,30.4367625316187,30.342679384393527,29.16563893685217,28.61888719072347,30.98182475561427,31.07482433601046,33.687535772000246,32.66283577626277,29.151637181416273,27.200768012358733,25.2267267024615,24.852761471572993,24.46357476860387,27.843301204733486,28.766051135945528,32.349291756246856,35.39739959667633,39.99079222922661,39.45238223773537,43.87616363127895,44.481891382211124,45.33075885975144,41.09324097355006,37.2710285536046,34.67782628629907,32.72777705884261,30.647022330290287,33.45250565358377,33.534781864441285,37.47680597880334,36.29280396919148,35.0797141603215,38.3910064322886,37.035919495600204,34.41155630801299,34.31127899941097,34.90913345967491,32.0239814574514,34.319469275353924,32.755702619175594,37.50208354880035,35.72455929122411,36.09142014179978,37.68495426202118,35.707347888067034,37.56437936563461,37.49131004497615,38.51813315009359,37.95652491635426,39.68672856679106,38.08225195629869,42.482145658624354,43.11397161865289,40.6813304321,43.61061630438499,45.139017431580804,42.80879230379846,39.20828926219566,39.7644463575534,37.88611033772028,41.33727526813084,42.879639444799224,43.562794046185545,44.56643004951322,42.329776243854475,47.66717167222047,47.51617343154964,48.70787246921746,47.958031938223606,44.066477263312954,48.307470023376105,50.51975356410932,47.57709176795858,49.853445895584464,47.99979424687979,52.57446713437777,49.97125233552789,51.89524527151011,52.71830468046954,50.463049223107625,49.536277661830816,47.22371705000245,47.49353702580774,47.254570487890824,42.53098109556332,44.071965444517296,41.278201160691246,40.292763856607216,42.71182290146838,41.37372396002581,37.61271401099527,37.97063819421602,40.41466152441599,36.36995519768406,32.801719087862466,36.634424318291934,38.24754697866284,32.036891522960694,32.419623386366084,35.07083278857652,32.23924033427808,28.653718027125546,31.879063690229763,32.2536777208427,37.1260188978345,37.306422213166925,38.554369356526145,41.42939300661613,46.31382728792504,49.06015040502754,51.60334279995149,52.823269409153845,51.6715926752084,54.35263962168564,52.29919452031719,56.23076423568459,54.64503035749682,48.90813717441627,51.836642223047335,54.864986478537446,50.5461359832906,48.65307514325313,51.9516934349139,51.3917829287799,47.04281666759045,46.525927622047675,43.64616839938955,46.29747272443841,49.295340085136324,48.33469346189414,50.344757087821975,52.494863522666805,49.893768264027344,46.43656644799677,47.69190374556212,47.80139316598349,43.372541142442735,42.22233637396898,43.54885868310595,41.20856151883711,38.397189297523674,42.63140685999955,42.18840534204698,37.42366026840433,39.134764772695625,42.995741173320106,42.5200139277884,45.89683298634932,45.61675580786414,49.21811766306058,47.052232933639274,41.987101727339414,46.019631500622936,46.9393479181071,43.483862499137885,42.750676150912085,48.373561781522326,46.24391621438905,41.33752841003835,44.33226411082406,48.40209307554415,45.61409123916797,41.85281948533148,37.116400393697646,39.91083619296614,35.20932598764889,35.90952093047354,31.190754387292102,32.439502567344185,28.44848710808227,26.96623850005933,29.45490248175136,32.15415720251687,33.64325801440161,35.83663972762003,32.64510674354267,36.1390840632596,32.03953486732901,31.485425194359788,35.68347964109885,37.25509852514939,36.196199029636155,32.07985946031645,32.339441601580056,33.42575776770665,29.82505057662232,27.002286999489158,30.194920851807492,31.460109680754535,30.565171467321495,31.134710390178643,32.07925911779771],[20.775967068875964,20.424435308759286,22.40761876935239,17.188608055076497,21.549521520162354,20.779111531615698,21.662970076888143,25.35924610180576,22.750193667758182,23.04289719727641,24.813045970967018,28.265267462793524,28.10531392694165,24.614989068339526,29.443421275823827,31.732610470334528,29.77860365496332,33.21002377463268,34.118000520016004,37.518095515955984,39.723670384301634,43.50607307462498,43.44264203978404,42.103761973392274,40.18804321159136,36.147270779081616,35.56881893818937,32.347896046308136,33.9152417644565,34.496876732503935,36.4495342973318,37.33406358346449,40.4658138635169,43.55927374098996,41.77752098558348,39.45100571610607,39.60613805019642,39.27306667829446,38.857943535022734,44.89758992212691,40.69536557099681,41.18613725572266,45.68978352628942,45.6692203117423,46.365114409247184,45.81251915440019,49.738475210821335,49.61150321674908,46.50048749295329,51.048715851440356,53.65115609668328,54.91175367414282,55.742210883808575,50.445330866285964,54.11130663492092,55.4316155250841,51.516496851654956,51.27491222281572,55.696297945119944,56.34384452258965,51.50580831467851,51.917411698594314,49.83489110555402,50.50569098399851,48.58762443625579,45.43382738119461,41.541986650643196,39.084394992377824,35.345220926979906,33.40894627528783,31.68748494842498,33.07382056494808,36.037056145099704,39.618995644138764,39.8844462177101,46.12140885937918,45.74109597160725,48.87190520054981,48.29062329357752,49.640740523326926,48.34374445383511,47.98363863010734,46.621401757385094,47.11894954021686,43.51133035503854,42.42426072111407,43.47541206189166,44.678044007798704,43.30329565515673,46.43793782686862,43.31627337745139,45.495578298632196,42.213819436832054,40.706598109301225,36.1457029599995,35.934760713796386,31.72994028205698,35.744357989174226,33.90475535841305,36.31208492121857,37.990052584500674,38.19401286014506,39.61169878502116,38.60334397827317,41.471470055982756,37.115157862585384,40.10608630404741,39.13391692900466,35.225555180935096,35.24532180802874,30.45735557289594,30.105345989419074,26.380480581043972,26.049347592775455,25.28166139705618,24.507757098467074,27.16297689894728,27.116292182236187,30.30236744983386,29.42395868877344,25.90677755767353,23.824972195861243,21.322544485168304,20.76526973110144,20.347586653883987,23.29367425926002,24.399586350998803,27.790413969173436,30.79868392528379,35.41202072064452,34.670759444959735,39.14429666745175,39.6481888115714,40.66580138160709,36.290413522067425,32.552181244551576,29.796215268762243,27.898482871588808,25.89600998238579,28.853573572139506,29.066419905748774,33.21692529821213,32.21123858892786,30.83315254714672,34.213937323784094,33.08261686973304,30.312814933820803,30.374198652619416,30.89943294654905,28.295406435819576,30.63882797634806,29.634064559889765,34.481042470275206,33.3686943415461,33.71842375789985,34.83344441294989,32.604145386062115,34.088368529274724,33.95837956031397,34.50669252963631,33.64719223782408,35.613574278712484,33.68540349044792,38.187017634206654,38.53988215424215,35.972749081203546,38.78915308669832,40.27903503845727,37.869811399829636,34.314163355193955,34.87811598474813,33.13157860928613,36.710174906533446,38.4136601873523,39.316043795725214,40.48106962045247,38.5253513816252,43.86260191033128,43.44351430503884,44.531077431718884,43.531573042839035,39.63209430023762,43.68205531293681,45.80166130676266,42.863741389492425,45.28270254721071,43.596899832846,48.066663994004394,45.40231845219292,47.18216730731355,47.90073502995505,45.6572326791907,44.63380495556399,42.30631359360743,42.56731716422048,42.32804217352579,37.62572792084953,39.27025723802189,36.57868545266937,35.729005010340906,38.308035002888104,37.16423582549772,33.29589236872759,33.65379613094413,36.36532318893022,32.445956430839544,28.652965986359295,32.737461522223875,34.71292922812602,28.486346290049703,28.926160230257455,31.900574836188042,29.265595873310463,25.585476538252173,29.00514656516135,28.971053514929192,34.174716151393405,33.80211939347002,34.913479505858,38.03371798479283,42.727254977808315,45.79956429269399,48.00154637830602,49.140229125977825,47.75811504018945,50.343976343191926,48.17584614626373,51.972203556198146,50.45668711590213,44.61891162263041,47.42616029770409,50.39690676785902,46.088038224236485,44.08920707551864,47.2749578119599,46.75155647348148,42.44010382321089,41.72759335457125,39.0337060180544,41.691969056952594,44.79053869129069,44.075299680022106,46.17242687345286,48.579463829955664,45.94808022567659,42.33370981958797,43.914716620295025,44.20079515643131,39.62937314020088,38.50859818364986,40.222145453926395,38.037531031360146,35.07092806051398,39.43955158041842,39.33885960723221,34.68351026652227,36.2053224876571,40.11220716580733,39.327327481181406,42.506932593961174,41.94366411319365,45.45660413189882,43.51722120894835,38.249680623405155,42.03458971188002,43.06224412863898,39.652501605102856,38.5716513095422,44.218429926028755,42.26900574984624,37.202533086552904,39.94229453620545,44.16181794048085,41.52327669392878,37.668583461833315,32.961354730097156,35.91363969558708,31.283621557259117,32.312493670606784,27.39535406786209,28.517531312474635,24.590637071975298,22.98520761812763,25.18167629356205,27.83246279175717,29.09493053530008,31.38021034807258,28.056523265548698,31.51871398997842,27.436709885028318,27.241670999705992,31.651094595059593,33.476530203906286,32.642322078506425,28.251228620058754,28.77215641498416,30.28391765230707,26.516535363533272,23.630224842195226,27.290556583378077,28.953459898240787,28.110597802532617,28.851519131424045,29.732485646335473],[23.843954650142862,23.29531946598815,25.10193967861308,19.919789404365957,24.13507524297661,24.42135197921434,25.35544512536431,29.324169889025647,26.978413483357276,26.984882383817222,28.926633987566753,32.52587497799541,31.892470008632333,28.3513861949829,33.23051566351209,35.43045099446932,33.04372958587041,36.2686177046965,36.60600805782744,40.059151261114096,41.92997901171201,45.58837107027909,45.20756936671881,43.54410444670863,41.908914004483414,38.06297961996676,37.75655514938708,34.894722323150766,36.913635669643,37.88575474147598,39.99514435983738,41.088990999227626,44.36674120533942,47.23590416590346,45.289324026116944,42.675093564439045,42.960142517021225,42.079295869394514,41.36337894901181,47.24265962748452,42.66742796913505,43.355368935353994,47.78424326389738,47.58562394720997,47.8961227467203,47.20735739679472,51.02871236099234,51.28283135080218,48.29165242395188,52.58585618131607,55.46822160830479,56.88378666305542,57.8792781638445,52.73562028477994,56.56994291826227,57.70639831696184,53.76491318654919,53.84928075498655,58.27660337429543,58.58372617589299,53.79153601218653,54.450457096185055,52.62047295801046,52.930537577517235,50.872797943127,47.97316463399539,43.982521971367454,41.90623916679695,37.99028577046883,36.480815255943234,34.50542130047665,35.78517489908286,39.04009274248226,42.33333860502248,42.972574508583165,49.19279530152103,48.7085684023937,52.091400712123246,51.39810726327208,52.52652730390336,51.41666100207405,50.799675573510406,49.698401298798316,49.835113590779265,46.07466240561128,45.33125439806055,46.28237432956648,47.896410283175676,46.34069480967679,49.8472788562333,46.672505189696736,48.89050248282028,45.78917137628933,44.50872437874737,39.99131686706731,39.923821222461,35.74964331999456,39.84043573689702,38.09345427713296,40.67674426004677,42.012473988557836,42.17980478549906,43.2957636120637,42.19310566255059,44.61628584449049,40.22993336061245,43.11683143297612,41.76963836251938,37.88990963931976,38.329088215102765,33.57894619701677,33.183618648857454,29.789042074619445,29.025092182486592,28.476124936455218,27.18092964624923,29.771076702183663,29.05872914411058,32.352049066407744,32.115477906264545,28.529356683427313,26.81386789286684,23.831798828399517,23.642546752553333,23.623661668199656,25.956886913918936,27.41999863295437,30.457723513443664,33.31883374275626,37.952977714692445,36.65640446054873,41.21533701288517,41.47731566706119,42.973572109392336,38.22335220793637,34.715932649355594,31.519175848994763,29.586134153167517,27.41532479939743,30.711272801566082,30.237418636272828,34.39886585872203,33.94642365752544,32.830625121799315,36.37157193482523,35.77022171061059,32.98703880725173,33.52138745493201,34.18140759819123,31.957662984041875,34.38986262651372,33.784492098332464,38.65492602565015,37.81932328961274,38.178863379345806,39.078742525877345,36.67413817474568,37.9522389357509,37.6505385447695,37.84637510055011,36.46686500776207,38.465288286043965,35.92780555551219,40.53424832326219,40.44911400169656,37.26624015407396,40.143170468492634,41.14596801123193,38.719957202971266,35.2925840607424,36.24663692358087,34.83240427571499,38.81037857356978,40.85704622806351,42.09132741284366,43.581475890607834,41.83338569683,47.211387141869395,46.39263964249627,47.47315941614919,46.01336893735822,42.33179269285878,45.98120561662374,47.81881749854009,44.81137863156786,47.235134609276926,45.610062288184096,49.80738869670204,46.70596874557275,48.55381687849885,49.033276081692705,47.110593997389,45.930835103605915,43.69577414892361,43.97316401083425,43.610349513673334,38.992053670844676,40.87244621339554,38.19134119327387,37.88247876362859,40.34919231656103,39.68409052119979,35.78248117928534,35.63142344879341,38.590882375960916,35.01896111045754,30.636168229070485,34.67356333938926,37.21635870472052,30.977053064084018,30.956533713569804,34.06527089592744,31.923183848725163,27.851534367906215,30.767039406162517,30.43121469879857,35.799215923474726,34.61253891551907,36.23391432674414,39.52119178364489,44.03641519387766,47.165503010534714,49.28325715388078,50.82349735396432,49.51284161273298,52.25099861869524,50.31292776479426,53.833670667208736,52.03615974066971,46.30488622502002,49.2222180905091,51.76984713153418,47.29474912375644,45.502343916361376,48.61694017058511,47.588114951917774,43.29678254933419,42.871248661648025,40.483871203043904,43.65869690827396,46.80803361197064,46.31408424298026,48.73635224403215,51.317211524069855,48.9110216767925,45.03370964264879,46.67668966553815,47.33204576571782,42.75804300682469,41.34372363458868,43.308528725824935,41.32680336971445,38.070367176391166,42.25758538668013,42.4072982397427,37.81484771198495,38.85671720693167,42.67730464863181,41.64989651408719,44.87709144526817,44.38970084636847,47.632938782784194,45.4932812388711,40.2632529290209,43.958751523723535,44.619951845615205,41.13855389185822,40.06346652902304,45.4624577834166,43.14735374550565,38.136104524259785,40.893328198592016,44.82841826464925,41.87403346431054,38.03049009121933,33.43216997015084,35.75366740168091,31.043980271074076,32.50977287893256,27.877418458119067,29.68959977501183,26.299661011197525,23.877019460718298,26.033537079379734,28.16936626366305,29.771237643174718,32.61494301912018,29.823958337873492,33.51848485860598,29.79738175512132,29.922904819923666,34.72089124762285,36.60647362262099,36.20836377599273,31.594043595590197,31.93934314310895,33.864857558063385,30.34068989850451,27.069582460355612,30.667335062590887,32.73374177301942,32.13327739122316,33.05473427466501,33.991347137663624],[21.654162477094804,20.90362708277311,22.674402331803208,17.904492049826214,22.34889743371493,23.36623219371334,24.84192427162972,29.010872350629747,27.328421496348195,27.78150397838929,30.122108916006184,33.47195114720971,32.798831983109146,29.75075282210223,34.82033440233517,36.74327352663745,34.30774159506777,37.831147614615915,38.37418368006638,41.48493223628769,43.56499927241719,47.009941561140955,46.821249701492555,45.036809828809034,43.170291117817804,39.48275376029725,38.81630980356855,35.95139236023391,38.051568092273115,38.846050095221905,41.60096022542627,42.15246626228443,45.6443016859236,48.69305123728694,46.484271039629654,43.928014118058485,43.770690455604445,42.94838632861801,42.01060004321561,47.65010040322612,43.21886392059826,44.37962407721515,48.778083808105,48.30191835817579,48.56030881584452,47.518047157996,51.39616190146023,51.83608759805445,48.52664306070453,52.5956758628751,55.72339833003217,56.97478983263504,58.24737645204528,53.08847887917037,57.05066840430426,58.37768903716937,54.60067950138787,54.72349469484854,59.228928104147954,59.59569838468584,55.01030002998072,55.95586672156714,54.21796938282411,54.75812644205203,52.4531014446656,49.452274382772224,45.868213636330644,43.7358672057093,40.1272971127688,38.649146006003555,36.87122630854421,38.49568798229346,41.506665602324986,44.702525576147224,45.03409592447225,51.316079402939586,50.44947838682564,53.79256882426012,52.80940084588223,53.71113131040564,52.28565298718347,51.36277754712372,49.9961053508874,49.86249605722253,46.22521761780551,45.7578079288686,47.11933163682016,48.72275310354319,47.61957779225699,51.265166387476974,48.37205683806753,50.9069158561703,47.768482089924824,46.300313974651274,41.67311094180404,41.83892968361274,37.554287345914005,41.16264288967365,39.0955760424514,41.29279193366553,42.64827921097042,42.20008877760088,43.475692209964066,41.804489532060046,43.922282663556956,39.3084291673885,41.819602269741054,40.20312449897744,36.175906798188876,36.964369144498185,32.27445032593395,32.382610793934006,29.372980543440352,28.800061168911807,28.999418136165765,27.730705099573804,30.738063529205565,30.04663169517645,33.95291773301786,33.70018544199359,30.20261347262739,28.238552008233068,24.891753401969385,24.244266108466043,23.766558486551794,25.412570456471613,26.25941443798457,29.337326235234663,31.886711316788006,36.67943814516574,34.86201883249245,39.36311122980381,39.856088745697654,41.66374235157865,36.92546819068415,33.72214442832449,30.011183181756255,28.70974239812542,26.96173623517394,30.506650167034277,30.42576115824819,34.892161141900324,34.69717108194657,33.27945860817275,36.82785903822597,36.36822940088432,33.39830460155141,33.83377523344766,34.10491294232498,31.95151998577063,33.96144263788275,33.70111163472102,38.36013274101183,37.71989013010229,38.51014393036781,39.28269298107214,37.00932528267094,37.83128392212741,37.90402518758344,37.483402715075265,36.16472807485604,38.67581641459065,35.92405331986143,40.61322316661018,40.10388024840807,36.78397731313734,39.24788405130627,40.14877842625684,37.37700186878492,34.22924926393369,35.11359565630028,34.13103150660594,38.21399300569809,40.42564732251701,41.901773823502545,43.351215706038744,42.03423692080837,47.24503725937765,46.364246131452646,47.151822735822975,45.57111436374737,41.58935604300454,44.993542025909534,46.76829292352296,43.9189890519161,46.79069081242174,45.56221705889508,49.58822371967782,46.47392445220513,47.92804472006638,48.11842840723931,46.16184501858487,44.61244377334456,42.192562883952434,42.20899381757278,41.50275090262682,36.85551993809589,38.55438324561733,35.62229173488046,35.60345940582242,37.69137882099834,37.299165399702325,33.50112729695961,32.8367549440214,35.77338934787009,32.45941847502876,27.73310149348898,31.560663178302754,34.395365568652814,28.202010136950264,27.807696588763687,30.933959700990716,29.18601438155414,24.86650943380671,27.396404003268277,26.89855686350466,32.303233049566806,30.77562691212417,32.64932910403488,35.95700074122024,40.40145124567588,43.50112833560337,45.63310932089819,47.40142181113446,46.22761131161789,49.11833554534364,47.442371877709455,50.84788676484223,48.80057044290723,43.23192068476288,46.34502652592254,48.659994776364684,44.088808759388705,42.545064965407555,45.78707229804256,44.43202845616716,40.104819851585574,40.161892823737226,37.630752380816745,41.24162105669586,44.26000557188547,43.67038194236292,46.34946897923993,48.883657954477094,46.80183444228717,42.73856008707744,44.17561870689198,45.16110738547027,40.69856876628105,38.902137628854526,40.96081340649045,39.17386293144401,35.65552112599926,39.60282747025818,39.94590316713079,35.44393461664065,36.04470858549052,39.76603024701369,38.58244488746898,41.86598195538284,41.53472431854378,44.58447273772105,42.22862096977227,37.11073166392212,40.84252524912182,41.21221076557411,37.68210487461551,36.79536689552982,42.029151874398494,39.45899453995253,34.56663455587245,37.510965280482914,41.21480562597397,38.080425957546254,34.31256553649616,29.73485333594914,31.842361319219496,27.087029857795105,28.50427055588211,24.034380605117935,26.16532415708465,23.093586616284753,20.30986406237907,22.60037528069523,24.58756233426049,26.508798150490314,29.469065288283684,27.217859215834924,31.18043004447033,27.899298544306763,27.803488952174554,32.89352282711849,34.59583269295425,34.72601349811098,29.98651643353913,29.86096514686011,32.14262619502514,29.159049579004236,25.30407409176252,28.654872693942785,31.174511749287266,30.958884069543018,32.20963044981758,33.32857486390461],[20.713442211614318,19.26414158027556,20.089672839476055,14.927797226736041,18.668062171620647,20.4999513603983,21.681244845744384,26.065271958121148,24.75935883922098,24.93028725478146,27.618153549601097,30.98885854156249,29.75511169633024,26.99885387438378,32.17703152279309,33.80180026511913,31.066931699963146,34.65096847240282,35.142465607115355,37.98385384278838,40.1271475786051,43.38129678110303,43.30263054747574,41.43851241170939,39.42159155788271,35.876352234801296,35.02015583213032,32.261587975260284,34.55795374002191,35.45648232709322,38.701807797385385,39.058693144533606,42.78271944962852,45.73211132263759,43.24606702778678,40.56759781530566,40.24792447547841,39.19109954038524,38.05405061092097,43.5269567573687,39.10182302834042,40.52676018119891,44.87753099633062,44.24172159115915,44.45517317963898,43.26182900468624,47.16262141579231,47.67917579552078,44.25305268858006,48.23221947704734,51.45607668509351,52.673474662381814,54.057626009327024,48.93430745583271,52.962905172822616,54.3169627802589,50.62708107667868,50.842573630075094,55.37042802692318,55.69425519617413,51.245447984470665,52.428610919472746,50.84126314325005,51.45327659703714,48.939448864762255,45.939267295180265,42.66347648227377,40.61489596560317,37.24952237407112,35.99050304277791,34.32508676806984,36.29080943115639,39.10469438965409,42.04322209361071,42.22132810913984,48.51187420900685,47.270298554980926,50.68379276242995,49.44000742342781,50.099759882369035,48.59238831449893,47.43192815513843,46.09733256209145,45.73157254660318,42.084595221403525,41.8373785706939,43.32305113689865,45.099954084156444,44.159729634019236,48.072980328142485,45.37031898883122,48.18677098760918,45.16272082590019,43.72701837443278,39.084759733320524,39.61907791551617,35.305675385025964,38.58211550916788,36.46926302811101,38.78580210218289,39.63491126279173,39.04991306370968,40.002225960743644,38.235415365558474,39.99440763287987,35.42840242806721,37.96512929272746,36.18852358288251,32.2882915293874,33.243261499571204,28.617945043521903,28.51361956238478,25.77741799857792,24.895682247619263,25.413281627816332,23.920336280380127,27.073310913863267,26.248418905566368,30.548541252742663,30.436363999685494,27.03574875683141,25.05986927144034,21.352359531788885,20.614430275487578,20.226961975342114,21.350092279652845,22.53846419866355,25.278681752049557,27.802660527040587,32.519398204710775,30.60772801978272,35.155419156845944,35.46772230502081,37.37170267456134,32.50698210942728,29.361434625622014,25.59223996724253,24.237333476360927,22.533535791032826,26.169202190860883,26.170972240389744,30.75400442705482,30.698642377992883,29.1763128342692,32.73331146238362,32.48631902539648,29.46138815170791,30.0837198885737,30.354572222654213,28.553300503806728,30.660142381531042,30.910943516956138,35.60654785734575,35.58952566152274,36.22384969536929,36.54386356813765,34.041044729929816,34.576185947545625,34.49734945615051,33.7263664990156,32.08905528795398,34.70217517344613,31.69209576314856,36.40928445692516,35.701263814358974,32.30137128586614,34.709769160987136,35.602803330162196,32.82495547562865,29.673127667985007,30.573813123429805,29.658614379207222,33.823165128951786,36.14907985230865,37.78508437545727,39.39293203477926,38.284681603092174,43.460601269666526,42.33723546163332,43.07826863610329,41.288392826344506,37.40622286298104,40.6393113581083,42.325578787807885,39.45944383257167,42.36222039017,41.23018854677427,45.16798433276609,42.03191256252493,43.407724314676074,43.56522331380213,41.619981536874384,40.067372367869034,37.68048004926601,37.75376845092353,37.145882636864705,32.5338348841127,34.402568712609636,31.677234035161323,31.741147174469127,34.11980960853927,33.87435844139034,29.96082228264686,29.451978201084756,32.69344614994145,29.492046855599007,24.656305984100584,28.813824224771118,31.94470562530735,25.83919444885986,25.64158791309149,29.090337583359037,27.47723104258299,23.259451011246654,26.08549061390642,25.149986388978384,30.844098876803002,28.80346893742618,30.37738804722513,33.93686554721625,38.14458922018838,41.61363707906785,43.334200493121294,44.88748112331828,43.39924711549142,46.10658281170507,44.207153092089285,47.49377139146754,45.63322985958763,39.90823930103045,42.7975706913484,45.13496910021692,40.62454232720448,38.86746134184852,41.932954999278046,40.74900055666989,36.47785100610303,36.13625947965077,33.873435725695735,37.336928010966794,40.49852091912916,40.22139680597844,42.89182721286784,45.70824535915215,43.49662649858015,39.3571375043203,41.21527824110351,42.26911190914491,37.66167506744964,36.049471775339484,38.48214186815998,36.824941369452425,33.2845077127156,37.40524755009811,38.05087919918258,33.71821275344831,34.261903321851484,38.01498718612767,36.55982014014552,39.55567524982877,38.84517885234078,41.843316482488454,39.85317614920542,34.504922727901736,37.89928727591146,38.507842909332936,35.077786055810904,33.70724972376001,39.00998779181891,36.77452718196187,31.6607824417048,34.20931293306339,38.182085704864996,35.317925106535796,31.414341039069125,26.877227732175392,29.28598240716118,24.656801735422167,26.517365711588397,21.76247506429884,23.58899434576586,20.576008316325215,17.74865920443524,19.538351862778043,21.47641486058583,22.98300542329579,26.031119952636743,23.47868584912782,27.29904260041489,23.976596901471847,24.407317875394533,29.579242423978595,31.598258617355857,31.825062466642223,26.920845625622082,27.232233051720147,29.83276131553664,26.60457211942918,22.975236500015054,26.802333610219577,29.528136449943876,29.25307939662954,30.5463575922032,31.51380995005766],[21.934803178797658,20.75128253712953,21.695037596248998,16.08968143118992,19.633510582839357,20.420633172548484,20.999756752321773,25.16262537180799,23.11034575122477,22.8436279317691,25.152146478719796,28.790882788283792,27.633625165952065,24.36209967048039,29.41436120189662,31.330279850834813,28.682587845126807,32.05027851183966,32.46056722020668,35.64860547114188,37.6774439144133,41.18808447038221,40.99587827394728,39.314380711591596,37.443422990079355,33.66616608144036,33.09977157632631,30.238655247289156,32.38429755295333,33.395848380793424,36.012979155653426,36.86262016530456,40.38068144101821,43.20632945576231,40.985587847147585,38.2853942638163,38.37628439423582,37.36106649383268,36.50448173604368,42.287589223757145,37.775797575186274,38.68950902467432,43.11342302350882,42.79009700009219,43.14708716630973,42.33729479577175,46.22159583037002,46.46296744641727,43.316905399989686,47.597480670645446,50.51939518232314,51.870713820255666,52.94418841829747,47.78240414559284,51.66224157457596,52.8726740961165,49.01044628446927,49.117709757423775,53.58494277000201,53.925030647105125,49.24662009947476,50.10368637438741,48.36853375789908,48.840270870537566,46.579553705950225,43.60564105084264,39.94344348654192,37.85575434509922,34.21101175992849,32.83461996664445,31.020197384194976,32.726317888612805,35.722180525032954,38.81817064262081,39.209291190880286,45.48247301912434,44.608028773732414,48.02891360800399,47.07559628742293,48.00126101294644,46.75951868887148,45.95119288737128,44.824131830770334,44.80721650800154,41.05256478078759,40.44972314402023,41.550348103222724,43.263909315651,41.909090684105806,45.64023899601439,42.665966292253,45.19836415514832,42.16487106847276,40.861798620966276,36.28674833218326,36.598049834933114,32.35081743908898,36.08975815864983,34.26147782322313,36.956008763860986,37.82595297194986,37.866085227063074,38.707412131040144,37.536384331695146,39.70555789306856,35.37279526219801,38.33174487760634,36.919732092326974,33.16665469410619,33.65815008327921,28.950518356296858,28.3116744783373,25.073943931880166,24.060045670337818,23.730503389407264,22.289777938657487,25.064203640718077,24.352827981643436,28.067331881472345,27.834324378241135,24.310960737281782,22.476620256264763,19.15726941144682,18.82178319592637,18.86072712124951,20.901989375356205,22.71398192043486,25.50130719208953,28.40842728414104,32.95802071571447,31.73343463717372,36.31962959198665,36.44610853828533,37.90895558352719,33.11468879244996,29.57844073400178,26.471296191028745,24.42100517302255,22.271894657578763,25.576623792053585,25.321420000546812,29.619256129109978,29.157694166530867,27.87406343232656,31.418962977956266,30.905148423292154,28.049074062405097,28.685618148283634,29.34392780057976,27.386069692744613,29.94151921824739,29.773532452975576,34.70871241703343,34.47157170284345,34.66262130331785,35.12868729776346,32.49822109622056,33.5367022103073,33.09642503978156,33.02778142688,31.423600268967974,33.50619735003173,30.834943096363197,35.47016922723534,35.30569674131635,32.185819246485785,35.02819109670485,36.15013938502716,33.744580669447274,30.258353551891826,31.13789997438725,29.669208633687774,33.642157501800824,35.722920614011024,37.039369865537395,38.628274080503175,37.02890992561769,42.39129579503231,41.407051660342944,42.45330557192416,40.88281364977178,37.25607230555828,40.84407579553125,42.66323986075899,39.64347688888216,42.08391513501689,40.52267559919807,44.714975327729775,41.68592107413291,43.456491713803935,43.97264766933596,41.981795655902474,40.85262677029792,38.636754664289825,38.98127246726929,38.763712328044754,34.17160549314521,36.168524139570565,33.708766319458555,33.335923865843064,36.12692955144451,35.484912053543326,31.47750619758952,31.62405550361904,34.813615532148944,31.268290455832034,26.94370744374293,31.301376199996806,33.988649453439834,27.841918614268142,28.122817750968963,31.504569793018714,29.38046208965939,25.492723250731505,28.799812390925624,28.12377225147191,33.722818391782745,32.24257488476901,33.46012474241986,36.94028606463527,41.263684244561574,44.72583209022137,46.46616824171354,47.707415517702685,46.07578133341979,48.59551222053805,46.38614379888053,49.84922731328421,48.3054118877991,42.40643496762163,45.06927810873986,47.73746712486799,43.37236087695026,41.3225453480683,44.27065978781364,43.53954608816144,39.312198604578,38.414995629111495,36.22892946873811,39.11030429151075,42.38834472579969,42.15525523538031,44.48614761265234,47.30722399180164,44.71628367442728,40.828202293928506,42.87855406108289,43.51501529237939,38.7948902062291,37.63792712849131,39.91594093932763,38.01718754225124,34.80336745121851,39.204153061454086,39.598703555774804,35.15860544021301,36.246869679168064,40.11695332548658,38.87711571322281,41.81122633192995,40.9353741568906,44.187249344584835,42.45228070420074,36.99780048275345,40.37962606938904,41.358738257029536,37.99767740646377,36.45838176250288,41.96943365000467,40.06956462807476,34.85049002479361,37.21296191569133,41.463154038284365,38.85256245435507,34.89526200701982,30.32971277441217,33.07500333933719,28.521482003155086,30.27639266816653,25.337426750974295,26.689320238040093,23.227467902857914,20.995501990805117,22.69167892984521,24.900931654231343,26.007774459296847,28.766590734806343,25.537620783534503,29.003459698261395,25.124517068191086,25.709500032645526,30.4822530399653,32.678895398605285,32.26284083147942,27.527632091379314,28.370206827809543,30.516817805441217,26.66461789540851,23.716256368717666,27.82061554609975,30.013058789491,29.29820945781575,30.22817162792017,30.99307015239586],[19.932013602222323,18.19497214856155,18.26221932216919,12.382349718525836,15.154972782691575,16.300656214760423,16.575242331145702,20.88942301472294,19.254322564060445,18.91322476554408,21.625072691499017,25.139307820659766,23.617827682748214,20.811950879395,26.000097228895967,27.581889173348895,24.840083368133264,28.471541005234137,29.20445254466428,32.01652481402453,34.35041748096435,37.70259412688917,37.837998799627506,36.239005844808304,34.010199236255,30.289148581551995,29.28806323067986,26.305385506937284,28.417138522863624,29.27590331158187,32.46675039713702,32.87869944404104,36.60719591378191,39.49831228020108,37.030594532667806,34.37367554296147,34.130142389306094,33.201002823518735,32.26881845491605,37.95786648889451,33.68715032483667,34.84394096226647,39.26852309226273,38.83760063488301,39.36575395276803,38.41953015065136,42.40474661097483,42.53455300319038,39.13441510329501,43.443130831628935,46.346641110351094,47.54487696830232,48.68958278436932,43.45940223198841,47.34908245474966,48.73306854483205,44.98876996982074,45.0084742405998,49.52463242843147,50.02692122672027,45.48874746049388,46.49585684197958,44.78081690496399,45.569622662642615,43.13394282055607,39.99198816203841,36.76846942627891,34.538496004823784,31.308896820940063,29.931020968308918,28.426019269433393,30.609557195554448,33.17625203549766,36.13958850274344,36.10499211856054,42.40782470970973,41.13859714313409,44.48386890087741,43.275845541531275,44.0446095141804,42.54628937803019,41.58432629747865,40.2792303574409,40.186945552251686,36.51795035882274,35.98732741772184,37.361726383470064,39.017951858368974,38.02015650533522,41.84595688519932,39.14715282741969,42.00532555840797,38.98110278814588,37.54634670825756,32.91156368420203,33.57465955231862,29.270915902030126,32.50303144092993,30.504779207106306,33.13822253983611,33.68297806212965,33.470547455491726,34.18973016773863,32.85250371224473,34.86795106655457,30.535138596485307,33.52540644888274,32.12348241588723,28.44513414339127,28.914800967866263,24.241161245626653,23.477438813163715,20.369923080552798,19.293270919372855,19.333044781776657,17.948285660648803,21.06125587481095,20.6294633284643,24.853744829539288,24.37870666359445,21.01597482123205,18.875728028837063,15.313971135420637,14.502390250303964,14.298022888208735,16.05019241835519,17.975212526708944,20.64269314574029,23.596058308518238,28.1061284569507,27.049285695858842,31.626925021390562,31.765196455294845,33.08676405481602,28.380563972009462,24.781757639033284,21.822052756867173,19.802299981961134,17.85556443169866,21.10053406552455,21.47445302254174,25.95573922912876,25.33327753699256,23.701082114938565,27.182607216987392,26.589327254485298,23.616694040141134,24.149754672649397,24.654926857773063,22.851953607794922,25.397193844585296,25.62244880368116,30.544634019670113,30.837161051284134,30.95795105473715,31.046781750200374,28.29617493782334,29.05647370148921,28.630382440209825,28.274438399141484,26.647148562882805,28.935200544174567,26.307347446403593,30.957599316942385,30.780265738401052,27.932106993148565,30.616762655556656,32.02456114933636,29.566585285209516,26.036370475429926,26.664707928796798,25.10706710772101,28.9522163047201,30.981107078423726,32.31353215660483,33.87163538954356,32.44111676788017,37.738515617786256,36.72623177668964,37.67648392033508,36.13940230062807,32.404018293834255,36.036700176911616,37.93465029030329,34.95854714001651,37.520766220678325,36.08782283433257,40.33875397842653,37.54500234624709,39.128339425022716,39.70184346339868,37.52107221897547,36.41298483896613,34.13711898316664,34.482488946240125,34.375706153290444,29.767793796732665,31.745936205785522,29.443471470666726,28.86183153877339,31.9297872925356,31.192930563688627,27.121400199026883,27.64651733922708,30.948687226949332,27.37694909395262,23.292414004383716,27.896748464603373,30.553345679281716,24.57717323108184,25.233559293558258,28.774333797358484,26.61004323611505,23.058858719224617,26.74878724315265,25.852007982742656,31.508124061996934,30.009104601607095,30.715159395369877,34.274648150180006,38.436815483414414,42.14083962060884,43.57008044320154,44.45316653824169,42.54995316517757,44.84144943749992,42.36534927632779,45.84371562350925,44.57958572238186,38.53962602144487,40.964799387876184,43.84184954195136,39.62711647053003,37.32341918830418,40.1621193883101,39.82589953195655,35.65968900407147,34.3175282237286,32.18087402168065,34.67699888727739,38.02884547666508,37.937205894930116,40.118286044314544,43.08638206789326,40.318127092655445,36.4783577282345,38.84065418328703,39.39747017050388,34.57618231509156,33.68924396993931,36.18270442563681,34.34275861347648,31.235334341782284,35.815941931069005,36.38457996524136,32.119648840272,33.31082095291404,37.19931642759253,35.83141265224275,38.47683172513923,37.25806719813872,40.55789244529108,39.22110239167648,33.60834157601955,36.72229170720187,38.05564762751663,34.841918421898555,32.923076641316364,38.560859930573486,37.12297569015624,31.767048096702826,33.779314435826684,38.342678726027316,36.13554140333589,32.12141676934633,27.61094965803044,30.885798613526802,26.578349029977787,28.383142587676282,23.21007084598247,23.904020096882594,20.307435727521153,18.569490897771985,19.794236709005904,22.20102500038227,22.727691852909714,25.177175067514334,21.425867712405793,24.609093072893472,20.518121537793814,21.427670981951824,26.078981138175152,28.522996862063394,28.0546451400949,23.261379825502917,24.57266537858181,26.851125021916538,22.741382493654992,20.174992735933987,24.690808591714895,26.929139754609945,26.118470892755695,27.05243044938428,27.673915148592563],[16.735561528654326,15.661984210431342,16.681996583965226,11.091589260630673,14.897584637590072,13.935682528354741,14.64149132836313,18.524594691849625,16.38881747791645,16.92197440954676,19.26020030971408,22.48682646456831,22.09730312243557,19.284668159923598,24.364737668423075,26.232555979636462,24.33524303911844,28.239819638791143,29.781177541947937,32.64151656836127,35.35143289082481,38.931271183679854,39.38287398058908,38.215969785197885,35.76766764460043,31.78322846979421,30.543917590886515,27.06104010184298,28.41571080833909,28.612501440165357,31.354100308226574,31.50171940834561,34.907802676911416,38.21406891607743,36.12197038973634,33.95973343795557,33.56605203472557,33.55871324924208,33.12425150411742,39.03887275520218,35.29666039907772,36.09226674526563,40.59718136297182,40.451000694929554,41.450031036831724,40.71747282196328,44.77792847530436,44.44480425351951,40.956167159388436,45.54760157308172,48.079777631444,49.075074818029016,49.99246182299561,44.579386543313895,48.22831289714484,49.844466886142996,46.11539802861154,45.68221038103546,50.169956190586895,51.11985120717467,46.48625548710288,47.06402762998817,44.95271465146028,46.15368231176351,44.019107828697074,40.57457344634204,37.32602573841013,34.56991404217624,31.45306687107799,29.382538769550028,28.161353941147947,30.240827076311504,32.54246087215004,36.02547486740631,35.59437294702045,41.895118360600854,40.97841333886,43.93515347690537,43.01525399861461,44.19753088005838,42.4658415705914,41.94455804258544,40.22124096216492,40.70358480430799,37.286421374119406,36.215899227615324,37.71445203841585,38.700950096623686,37.914000899466636,41.07301817355234,38.36087496427678,41.00474465401452,37.663719114497304,35.872680440941394,31.170286275547113,31.408937019334687,27.056473438207345,30.321561718495836,28.132242692784935,30.326494990404903,31.75798780745775,31.517873113872156,32.96517192776839,31.652954875767136,34.47188574626603,30.063743195745772,33.05480918236243,32.19477398025496,28.321253341911127,28.201487391482583,23.414022032538252,23.081412366844816,19.382012883408773,19.31434761617089,19.030173066319204,18.641082769473055,21.779620934131845,22.354080824743306,26.15314847782441,24.752872583258227,21.481086457998302,18.82574253490719,16.249564416211367,14.833871844580482,13.701005034610063,16.598793588790148,17.374843570581856,20.888822514700674,23.937109506329893,28.528933076700035,28.11591257272981,32.50388898567338,33.174361019658896,33.89770438845551,29.812423642206586,26.0029390180761,23.53339945127703,21.88428542676803,20.32967158937175,23.039133129110624,24.300088544030807,28.63223817938365,27.30918028114586,25.39540526818304,28.604659722389986,27.194777284007912,24.269850183759868,23.949617984753804,24.12883514218472,21.48743610881116,23.683955761961887,23.023831202358352,27.882484480644766,27.36039465198086,27.72610499729708,28.43869487164886,26.13964324487801,27.283219418000176,27.348104589331893,27.574913592742245,26.95997909596068,29.26440983707018,27.61932513647043,32.07937540481369,32.49808955231878,30.47008578018082,32.97061871944717,34.91301479254911,32.41259195307598,28.872381508419217,28.984089207433808,27.11789956603999,30.36620250256584,31.891099109552293,32.722010517186874,33.70314339398743,31.955391937053776,37.17173490950921,36.86163861497578,37.77351921310672,36.96782487513252,32.79726584916846,36.99724915103695,39.29183445680018,36.47936138016259,39.11649600222055,37.64680415295591,42.2179703613461,39.98462671932022,41.43907201436906,42.238078850561145,39.68357948392793,38.6670981648865,36.21750497804597,36.41461155518953,36.271813599465574,31.547605332689834,33.02267611481583,30.45983486413571,29.207907065041514,32.061850020992516,30.665708204598975,26.75016333186397,27.655803283723145,30.392896921025446,26.33085734366257,22.993725411333774,27.352669200277422,29.13784394641343,23.076566814048377,24.094177530643368,27.24332515880756,24.42689317778439,21.227048851182666,25.280205654198433,25.036100218999202,30.29042059644126,30.078744949892286,30.455884319135993,33.62927608877415,38.174239693468856,41.52174681294986,43.36758882225505,43.9974997100748,42.28607907768138,44.57673787238783,42.0617554399832,45.94539800789693,44.8073512911253,38.80078691260677,41.327099836392215,44.633737419660925,40.54543535111411,38.23629457961178,41.33540379159826,41.37436192591875,37.13780956207238,35.92187227289743,33.150242029595944,35.25311169795584,38.385021832914134,37.73278310827568,39.5903568614573,42.109625820266814,39.240491858378554,35.7316247387503,37.627693700808365,37.752015196835934,33.05167678265254,32.28407570410449,34.20159581686189,32.036458045132434,29.226689095060998,33.8786160641959,33.951661098553835,29.47096473963189,31.218359313812016,35.187965370217505,34.28225682550549,37.11219480962716,36.12799816300989,39.764101735532556,38.3316245846988,32.86346760379109,36.3737651492026,37.8946863236696,34.674447277980384,33.1783769664626,39.02111170249066,37.690423166778004,32.47710573214573,34.83329825223237,39.45094630521118,37.356858891781265,33.457336628659306,28.804300765088268,32.50655687078468,28.202663373947516,29.149845489791225,23.909503186605882,24.07376328230668,19.82090072954913,19.070458474248582,20.777076589727137,23.802797929267975,24.3543785252009,26.071673826510168,22.07157285408676,25.155535860439922,20.779162893459436,20.6887877019564,24.864338681215177,26.927219914924564,25.9378420982759,21.49150694650512,22.55992887107122,24.152706487500314,19.983362173267682,17.548877782794744,21.811929480689813,23.504647617412058,22.500909113005534,23.26225566846114,24.001256691505983],[17.772326457044667,16.47277853712771,16.633801995125804,11.180809441612462,13.481272287547531,11.575966735954458,11.116695152850887,14.742243764870404,12.192713886900794,12.243942205471164,14.64852453223105,17.992735611935327,17.385209439929223,14.616871486459742,19.72751822462562,21.52175662769131,19.739025678554892,23.750415596333674,25.661616863072684,28.387861392245195,31.317266206270638,34.92275637785756,35.620587926823106,34.72607239838878,32.07557070318242,28.01020110089631,26.56810644182734,22.868646898978284,23.915320849765134,23.95520740556441,26.69730192897542,26.783547681834317,30.207678550588465,33.507666403660274,31.416682874446863,29.333494603955884,28.9344401833065,29.15045603442025,28.938377259582783,34.96485782475398,31.486990533197115,32.05630401538516,36.57156076330157,36.60034148259229,37.89533266226703,37.358858935461114,41.44392846337262,40.773521963964804,37.30293158357511,42.11152356553001,44.34783228360049,45.28637284943118,46.01027981608784,40.539451157266676,44.03276700205064,45.69728080761026,41.97635375495715,41.351107433428034,45.80620261581779,46.93823012471852,42.28336025269937,42.716505024484135,40.49320944621009,41.91024793070919,39.84224240151175,36.25763594587544,33.15873965485226,30.200186500694986,27.326865574806433,25.09405384321563,24.130643465754392,26.46409677835274,28.409890040035794,31.906088292115548,31.17580863443913,37.46426585917362,36.47764157304581,39.32828542179938,38.412838336434476,39.68022839983301,37.904632990227846,37.555150593808584,35.81060296454845,36.54621478149676,33.1782235026197,31.841854272971837,33.289025122392204,34.1015972434252,33.348557976122244,36.38922063472803,33.73573280913937,36.45783024572755,33.102070674119275,31.260275740288325,26.542247503022526,26.93682709978156,22.56864418764166,25.696660817160144,23.559531569568467,26.02858863022227,27.17634329931444,27.248457702326473,28.510071119746872,27.581244369834156,30.641559375178954,26.49699234290664,29.84585023878368,29.355504734897163,25.769388702967962,25.180793829931567,20.47702817443185,19.542198934635362,15.485144086760362,15.401409162048584,14.590621456161289,14.602221707647676,17.649790077521917,18.830255606352914,22.437543310633178,20.548220072427107,17.44944805906624,14.517468739834785,12.456179141935147,10.736789785251922,9.495923266842214,13.27745323325003,14.560475064407969,17.91597844620224,21.24229235447325,25.496758794478698,25.88752007448332,30.153346485886985,30.693412936257495,30.875861838640432,27.0809502358561,22.991890388614614,21.388088954089127,19.34003839966157,17.785844430717866,19.881159690638185,21.619679108946084,25.67813811668656,23.82612374953345,21.784793508835758,24.77808460783962,22.961301963564292,20.137140964806875,19.569661267989087,19.903532414011778,17.186469622108362,19.777915723457482,19.05920701407828,24.119480673736682,23.95388138749904,23.797337477001957,24.25546782116559,21.724324870047322,23.087671907420994,22.861150865286746,23.51326575390039,23.03621059111446,25.034273008489723,23.901807191840327,28.181140572444747,29.09449188351595,27.68149462544421,30.28296243631978,32.632516322576365,30.435965706995443,26.73875200082943,26.561981599769158,24.209587905708783,27.0040903665204,28.183775256171113,28.691371485158765,29.55973962170676,27.5323187605691,32.80800564229085,32.64661171203423,33.713337601474706,33.188423156870115,29.154760427477424,33.66637853849714,36.126488300754175,33.291327492024045,35.631604933484255,33.96077290731548,38.741767593840535,36.87379536492889,38.42434658190133,39.54136353367038,36.81349837461144,36.16205544082874,33.83618765575039,34.23075840040122,34.48071351407808,29.888466293999826,31.38557661857887,29.23822767215296,27.48437875309597,30.82470088995335,29.061711714843348,25.139755827534568,26.890411030526007,29.594577456798937,25.381879501852993,22.82888119696666,27.348572858942962,28.725913576955506,23.049853024175157,24.699420820395588,27.812490808073175,24.727255859884945,22.238462128439068,26.71339216600951,26.432088747777186,31.4925476883023,31.54923164778874,31.299569749962977,34.41229187661407,38.77456492732181,42.26855027531446,43.82060403325683,43.938081477637944,41.91386848131659,43.83600747558293,40.89969456744066,44.85964311514759,44.20453791148145,38.057681975007554,40.16153956274437,43.82324473421435,40.033069845348585,37.34803812028786,40.20385393772552,40.88449181456262,36.82053694346011,34.87151817523327,32.273945104464666,33.54289466180278,36.7618203830879,36.2857716836674,37.70894355362551,40.331683893187346,37.035131181526445,33.83709000480107,36.14292697053291,35.85739814394842,31.052008304262273,30.939194934754806,32.896832956395265,30.64084641934477,28.278031197669208,33.196423747650435,33.24559988694872,28.969895831005143,31.17108919607973,35.137795287299525,34.28154471357809,36.73722398942472,35.33557484503338,39.122743458326156,38.25555766516403,32.698283292828656,35.86594178616764,37.916153343494244,34.94316567900766,33.03476356172486,38.98204657592066,38.27930185910262,33.008868297962785,34.879047043623146,39.82823326050285,38.253274364209695,34.361781768021835,29.882373404092828,34.03978349091454,30.076558287632242,31.042942694089856,25.730238959914857,25.133145442239915,20.760051085029463,20.785503812058185,21.939097251992397,25.06570826072959,24.909068456449592,26.114977116831273,21.390064212370557,23.76277828479617,18.937494506249855,19.24241803644324,22.71012092465908,25.101173477115815,23.48279625900064,19.307038573637755,21.311114634192556,22.549174765297106,17.634459564216392,16.482100465367218,21.174377658805298,22.35560259729376,20.866648838881154,21.238478618128163,21.576809359556787],[13.77676346036453,12.908505432297824,13.811282903154773,9.210323291389678,12.526635411299583,9.018178825756738,9.870340050446337,13.10837121549222,10.979459398273544,12.773223064064501,15.053186669119103,17.553663681641858,18.144194778607126,16.151498551461227,20.966910747103896,22.65926474499017,21.68403894311104,25.99285812172245,28.60434733546243,31.002878995402604,34.28209229029341,37.80670525283225,38.84382336002615,38.15549490100116,35.25264710510347,31.233166287364412,29.391120215559656,25.465461353144214,25.955815917076812,25.260256710712515,28.11423108874424,27.44356073529773,30.6811254566952,34.4483821466659,32.50174627392857,30.951089412122034,30.024763802631874,31.06106375549517,31.0451046821066,36.90974253052944,34.011446365270864,34.701749417510264,39.162986942025185,39.17368953364555,40.734606034623425,40.07205229939056,44.20426405839513,43.36782771704838,39.62160089387591,44.393485114806346,46.53655226837714,47.18090789073166,47.95320467693072,42.39127399950407,45.765205699524245,47.74501761337682,44.21501824359251,43.28369167923414,47.72206890727102,49.22961997712005,44.722434715306775,45.04911309716798,42.62838124949788,44.50787316565425,42.51189874949815,38.692094518108064,35.94898061566601,32.63558156728415,30.169591116820534,27.51713749911089,26.954171636859062,29.3322061744586,30.854865076946446,34.57935500905767,33.337127340850714,39.521072835703976,38.539730805029826,40.98858869453447,40.08869918459826,41.4801284822542,39.274398699843104,39.02388048885213,36.72057902069488,37.679418557602155,34.67929535963084,33.18019653442869,35.069488491683565,35.30448046543549,35.141577485516486,37.681528332314286,35.312511232196826,38.05001502394268,34.469382567849294,32.199066383381265,27.46172402337632,27.653679323055137,23.305211351593076,25.87379016883294,23.27724113911827,24.81369736263861,26.86465942390212,26.25770949514796,28.37947644649177,26.899367460662557,30.373820778431703,25.97466554489938,28.925692217132198,28.68487197887649,24.803814575626465,23.99295417949941,19.27822165200242,19.33673099829446,15.268206195536571,16.427402836854792,16.275718431471073,17.139761314512896,20.4090461547912,22.20139324167329,25.864810516052515,23.433019595248933,20.661505553397344,17.38597938494353,15.875965688353434,13.462355118994903,10.968598209434992,14.520871072713406,13.87712519274313,18.012087683114306,21.02942592288953,25.457015054333375,25.91553688570005,29.93397586406976,31.12560331558571,31.085646339059046,27.860726404438143,23.953081901259782,22.270144219362706,21.16350216945468,20.334542929560385,22.253826585447186,24.844170825418672,28.968167503119187,26.95492578735525,24.53928085681007,27.25060706532284,25.01469693092184,22.162525183340627,20.79682240387007,20.381561580254242,17.01274741258811,18.643423729870833,17.373012174878895,22.07842169028762,21.250745876075452,21.84679970191761,22.826680600358447,20.971579101878334,22.187274683835835,22.87989966059311,23.408925362964087,23.934755471950137,26.41348680762819,25.889986336566896,29.993634640763197,30.95367100852047,30.027317811118948,32.10215800547308,34.720424686371786,32.22031332907322,28.78986881744128,28.187990732643396,26.045334509747523,28.43345011514808,29.344578655727428,29.65820549073599,29.969768832545373,28.126536055914364,33.070726964708356,33.467147046093004,34.20937918984056,34.19595572299578,29.561641598321774,34.273451573605286,36.98114169599154,34.44419044328351,37.21587072711317,35.88846120450019,40.698463410020175,39.24243074690987,40.35812327909626,41.38985323254703,38.37923699689608,37.487171747159145,34.8863439569667,34.939596520990875,34.87423206145737,30.186033989007704,31.107529689360756,28.550157660492964,26.442577977020036,29.28166201947662,27.130144601476665,23.447627484037916,25.160613189432176,27.325699488471745,22.85001249744019,20.802454075978922,24.939661602317432,25.69205693169569,20.011010897682056,21.817500751798626,24.57194388141581,21.125243363155903,18.932129504245847,23.541092928587243,23.71975526079563,28.377928438000865,29.36588429762884,28.902592202802502,31.671794755198366,36.28105281098398,39.45520198810137,41.34052517984938,41.358676903519054,39.57954861819731,41.591190607133925,38.80036707418995,43.03069948377003,42.31781525361712,36.31911887870147,38.640923565985794,42.502783358439416,38.767680958198184,36.25384673605811,39.415597787421575,40.18387425745692,36.05374948296141,34.55236757870627,31.32121744555686,32.57065599365998,35.48632904872924,34.441724618852874,35.76975762639308,37.95340709588851,34.8183384773464,31.77096684836467,33.49462840620018,33.065182585198905,28.4478936455252,28.151530326727226,29.654963216469497,27.2318842685333,24.953785601590024,29.79715208393819,29.535627080870267,25.12283802345522,27.567156033883958,31.54575619740062,30.995257777456008,33.62598316268008,32.5199954908627,36.47764886410052,35.409108489039326,30.054400288263956,33.57393781069196,35.61493678233583,32.63057023514188,31.193438496568483,37.19192528526675,36.45748653728808,31.407816613241184,33.649878505437904,38.49011349586599,36.93977299497986,33.212986670936864,28.68296422932498,33.073639849582364,29.182767735693123,29.418675999043476,24.206578824468842,23.229327704820854,18.52515919629595,19.329620381663563,20.838727433065394,24.3478823600672,24.339957101993242,24.961707634423412,20.42058805908798,22.879591717990845,18.233142482354566,17.37146811565792,20.59637362791302,22.454083136424305,20.772194832110475,16.828042250062122,18.19689755047598,19.035304504943625,14.484987803293224,12.971726810216174,17.29412137720112,18.278837498854926,16.88143102132806,17.387719064958485,18.067820984329202],[15.692240743950087,15.418247496233365,16.314715345587423,12.90451450147597,15.11763182731328,9.681246685103114,9.552983374889955,11.079083271909584,7.713126216756736,10.190152443495824,11.517452197886083,13.536024536655516,15.392461616309932,13.569489923097697,17.746002797695738,19.643949625168847,19.682904154464033,23.93432783813386,27.241883937813604,29.573299728585923,33.07804753923179,36.72487767013791,38.04019862672462,37.841216750224326,34.834853776009986,30.700623747262696,28.76400987132722,24.567659840789407,24.20486660393632,22.90887326175422,25.02865872373357,24.237834572248264,27.017217395599168,31.02399411239663,29.535307349739462,28.49976207725049,27.6099767010582,29.491523888895987,30.058417242189226,36.02046615998066,33.68258667303077,33.82974409040418,38.22769383839332,38.61296895436889,40.622185745382154,40.32575647156484,44.40126228772887,43.04848390255745,39.4466044020635,44.47600630624355,46.09665794926475,46.61724431039041,47.0258427619709,41.41802033957744,44.42797316476412,46.5024575174575,43.00117861115763,41.64169004581986,45.9362282873203,47.825056315171,43.25858759876281,43.10103624243056,40.33966349116125,42.55794046114755,40.926150250675306,36.92113885805001,34.22000293024237,30.5002237413124,28.304995661322554,25.0945176438889,24.935148311726973,27.204276596074546,28.25219104638409,32.2951657628628,30.648017840182053,36.6447396708839,36.01882265191021,38.04947964235552,37.48108791915827,39.283718069230794,37.01586495273388,37.313798234212015,34.826671517418774,36.441703045185356,33.703006006874034,31.595579356970873,33.352970800088585,32.94490586276764,32.840139564760364,34.65348649393221,32.288717682751816,34.75470095785574,30.97823569739876,28.448450982804044,23.79321402585967,23.61528603539619,19.37625996167466,21.8930420043517,19.294527713277482,20.64879402048056,23.37011620797628,23.220010774998794,25.771756974945188,24.86520896030469,29.15735823132036,25.17351573987823,28.35735042223143,28.863563473190137,25.30422003219182,23.6615216935953,19.275826980294656,19.079165132592323,14.563950244998988,16.422898446170297,15.407393971008398,17.246513926140935,19.961277848362915,22.617472995628386,25.46469850667862,22.232277731625715,19.870233347276404,16.45222955081158,16.36060977469088,13.919203301345766,11.28546224685664,15.720604781671321,14.845125440776028,18.897867526980583,21.954584025712844,25.83458240599118,27.335637735102665,30.977132268690024,32.27980943918213,31.44714347721685,28.930069996873353,24.867266576787696,24.239798252182986,22.986004172552693,22.276312367503852,23.366048321207614,26.36717741939816,29.971518999815178,27.295926995508747,24.87697889435007,27.12024672074196,24.146492929926847,21.667079446710353,19.588920498621043,19.15581252517246,15.187068960398598,16.748841353043506,14.30457267564973,18.970410600106838,17.441232746483273,17.666060317135827,19.191320991922346,17.687505093084642,19.623687785351276,20.41960386707779,22.012706055667117,23.416349698946625,25.37411705453574,25.980341812769982,29.60127394321273,31.339236597176363,31.309211607845683,33.391816006899276,36.449394796020556,34.27625981872272,30.803518788628324,29.846254566838848,27.245962992799544,28.857148359624645,29.126536854146103,28.77947358987472,28.57239941189073,26.204274548946078,30.99578559428111,32.05727574866268,32.94699501188862,33.68206139920581,29.119201875060398,34.30849734182269,37.30090686707719,34.88261918422894,37.28777566583531,35.729224505632054,40.78314377411627,39.90739065648044,41.099302522656814,42.50312672748794,39.27352658428406,38.78103095889347,36.29305021040097,36.45695880223494,36.69955784586336,32.2065415341238,32.890780886067475,30.616547680549157,27.856057707510544,30.824022940052355,28.0482015853693,24.666798825033304,27.173870362114506,28.853791115466205,24.16455541508949,23.327186546180872,27.169024914194424,26.98423476285146,21.90056580236405,24.262797872663885,26.549465248096222,22.626990648581106,21.383021452260014,26.169430897743297,26.72895860658075,30.79221457449006,32.654271681517756,31.667983375748733,34.0672263955971,38.65332111512754,41.6176929912179,43.53367991716047,43.04825081058037,41.20796107704869,42.905185039656175,39.83089903058275,44.28382541259184,44.02018316639313,38.07674500909333,40.08389631671183,44.3686492396909,40.990395703871336,38.265903521024455,41.30564531366161,42.697660092170544,38.742015798944635,36.82380355485048,33.51536344724881,33.88114045861849,36.64992513571775,35.428619488870204,36.14323759993596,38.03325303208561,34.53023373998811,32.10004660773171,33.765661807295615,32.64436203238254,28.192355409328894,28.583146665448634,29.57749102467876,26.872518184916448,25.366499334167422,30.274429270432424,29.569124100313996,25.31827103031129,28.507102264370953,32.3908780987765,32.260340135513616,34.661444745830075,33.44458040934136,37.63815462542662,36.94822162555149,31.80696086095811,35.2125797467989,37.68304475447269,34.95037009655662,33.52666173834986,39.53293774328894,39.28010523447898,34.40599521386789,36.44243105176031,41.40355644119461,40.252621827254956,36.66635580733688,32.299224430544115,36.982596543537355,33.34613582949369,33.25195182619789,28.15873791213287,26.604897376039627,21.811111367929566,23.39462865239438,24.735990077713424,28.355227336057762,27.98540389923559,27.988787492820148,23.11989497765607,24.858377882978505,20.06157158833631,18.961213928165296,20.90096160631858,22.59950794438528,19.905993943510172,16.934659299227008,18.817683408511428,18.533142079121973,13.527591883006242,13.78107324451451,17.683588451458885,17.423678166748903,15.320873140190642,15.045659071406757,15.325311978566804],[12.562830357957482,12.585624004193237,13.820582425825858,11.718266325402565,14.202644428399248,7.968860276160587,9.255738725281315,10.29954266190011,8.418038667733784,12.2386487019007,13.730942801598875,14.719331124201538,17.13681228809683,16.303160899512466,20.17099366283602,21.674975028065912,22.06702250948453,26.501279724140403,30.14074701055594,32.06435515533242,35.79271554438179,39.22630081209696,40.7940857018626,40.61921910822268,37.3994618785103,33.428653955331654,31.13107953748005,26.918854084814395,26.36804314406151,24.609962443298276,27.193264979169715,25.60334050587328,28.343779586626038,32.64336734590026,31.08880654248265,30.41097390055187,28.9443579783613,31.277842179626344,31.797622232201476,37.44907073336401,35.53679615543993,36.01667006442207,40.316789311560406,40.53133330341224,42.635878019113335,42.09230149388388,46.19414309335393,44.85198390519904,40.95902058511715,45.81945602477463,47.494626542427554,47.75269737670294,48.32901108568083,42.70151946808876,45.687478896549514,48.037963824080045,44.76333112158488,43.26485872674155,47.55709588297657,49.677078206432924,45.34666242993736,45.30279907186382,42.52721756623513,45.09060575481649,43.36816176526645,39.2365792760753,36.9927805041711,33.15166413965671,31.374878503826316,28.113969587283226,28.233937908700593,30.649574561492507,31.370341603363137,35.3500059381613,33.32101961145991,39.18006249777794,38.32511805341598,40.086137335165006,39.34992874850908,41.05224331546877,38.37741948365418,38.54343179179913,35.59168339163307,37.168200232426486,34.753515745629414,32.74308676119554,34.98083323561023,34.24656844743139,34.76730959740785,36.36506291247122,34.392585623340516,37.02233014228994,33.19437188452704,30.37651679313762,25.799220388255492,25.69574530836392,21.60845865078411,23.26744649528215,20.23125844300046,20.53188186719646,23.817769306169236,22.723480589913283,25.94259240213529,24.28923258991169,28.641250797201835,24.41181027262602,27.079780658811835,27.66508011410399,23.885663890747477,22.216320008474657,17.950105485385254,18.75661732686114,14.657276159528411,17.35735962799226,17.295739672065483,19.43156339313635,22.444505151046204,25.26226038227119,28.467125482794522,25.126998189703166,23.00738203635747,19.461856965458782,19.2250770763567,16.342135476692313,13.030283831822993,16.61597830663421,14.216078737334872,18.660312535397335,21.281849076078544,25.25946862522465,26.61594899413868,30.000738320044086,31.8321807544949,30.959156905149783,28.878179017251966,25.120994095264027,24.279414922391254,23.8655029758299,23.753650427960782,24.85632651695751,28.44269377707828,32.20591880194271,29.63072316306979,26.90181455698297,28.979024534839304,25.94475554971372,23.38963482392927,20.88661339614294,19.741564114295553,15.56690746929488,16.003311728973095,13.444234566779514,17.49432329918102,15.57659150110149,16.823649258913257,18.607149908823807,17.79036169274665,19.18332449738102,20.89384409646274,21.929474449067495,24.005291074692806,26.525721086089472,27.334597361499934,30.84808371234008,32.36659137724958,32.56279648346098,34.134108686165476,37.30572429450074,34.838338086064226,31.659646694033558,30.411575934677696,28.1426415283944,29.52918197809038,29.70866473538573,29.376612236888754,28.7897402631357,26.85458278599482,31.239407865412314,32.60783216336194,33.10987757226509,34.10510753251554,29.047587343387477,34.20207648592176,37.31117003311694,35.178818281089846,38.044186601222776,36.903880238589494,41.850590948711684,41.22269682204612,41.96833955124782,43.19427574832668,39.784771809933936,38.99930078214545,36.28130932716457,36.12429100618709,36.048382698522104,31.532917088673386,31.738617290174915,29.151109614828417,26.20334215818071,28.673235866089687,25.66526014861442,22.562151008047096,24.951775992125434,26.16077975836369,21.373825010197745,21.031830715746228,24.44455484145756,23.74813215455612,18.84868781107014,21.3403977165553,23.277497971659983,19.157647374393434,18.34588290277808,23.132834738784553,23.989956736328097,27.61874456309572,30.141657239264887,28.929020617179383,31.023878860926377,35.69757961244076,38.42666075420286,40.52275413023254,39.94837262167381,38.294518234205306,40.049320752645855,37.12923911253309,41.73944305652271,41.412378297864336,35.644367102954334,37.814890005843694,42.19044598334127,38.88150707559263,36.3339785393771,39.588651803391414,41.007302972013306,37.05008891251414,35.531713885183784,31.768834995930906,32.165889824702504,34.648631735861585,32.98606125482442,33.67170923652598,35.21275802067181,31.92669543370022,29.578930895640607,30.74760297588234,29.593679368731003,25.33185308821373,25.507413418991387,26.164242976885017,23.376857809670923,21.92292155559248,26.72151404142442,25.829605556334847,21.531139422014938,24.866389573641978,28.715954679863167,28.78600190115725,31.26363188419877,30.26702420538899,34.53738658393915,33.71893841686481,28.789070912035235,32.3968977988076,34.840959093469046,32.15378665365166,31.088865278150468,37.04536789519421,36.80584162568116,32.17590146442143,34.43248716914662,39.25082964981705,38.170740361414076,34.77010559769748,30.476814949652734,35.29070601671019,31.836623065535928,31.20511220874158,26.324008462753433,24.41817979012336,19.575060659471568,21.801728741295967,23.255704624156568,27.03509875020691,26.720268921546126,26.233461066035584,21.657897425530194,23.40016041182395,18.970127692096877,16.944207453929288,18.60497443877749,19.77455654917754,17.182705913811265,14.484695857653728,15.695758891849081,15.065859330774266,10.601232429520342,10.586881164048231,13.992434439742233,13.556993423716488,11.57701852341148,11.568825037381385,12.33486309415056],[14.336462404171392,15.24383700361008,17.164707794693893,15.584425101208936,18.22232300457124,11.764820025350499,12.778281860175845,12.733856113573427,10.25630929692584,14.104354319495958,14.556314089129456,15.019655405078632,18.582923071312745,17.62401417045225,20.797679350906773,22.596938099237644,23.719190511906294,27.90653099052619,31.804189935037854,33.86018719985961,37.585284331137366,41.166870850600596,42.77432987194802,42.869905640787415,39.727883570057976,35.650226612652745,33.488638480357544,29.188371642434117,28.16484322416989,26.115943978486307,27.816677579079624,26.352193449695562,28.510041486294472,32.9453290414755,31.923939337449312,31.65020613199858,30.363990474360534,33.222393093682854,34.13052838332206,39.84720462183433,38.18401089458722,38.244486491656914,42.49923827074229,42.98834844027343,45.2982567716124,45.012394497684014,49.054073784487294,47.44540880178408,43.72690395851843,48.722989890030895,50.089942182492614,50.31229648730426,50.63499720551619,45.014723444279596,47.7371996967429,50.09947804090813,46.81904219218624,45.056658933316804,49.211289931961815,51.54508794590763,47.13193098314068,46.678092363464906,43.646863003390415,46.322394315749634,44.944907347628416,40.76695522496829,38.360962069954375,34.31562141460009,32.52811780443547,28.8908804484694,29.126787887009492,31.191202710428986,31.787289820538916,36.067391614953934,33.957554215773754,39.60675101639745,39.235908235360846,40.67223558193044,40.32487048328186,42.39830072798776,39.784441187533645,40.400946119174556,37.382802272224936,39.41797098632524,37.17627710858946,34.77058381006624,36.805892706768155,35.62932801406607,36.05876572460198,37.013756515544664,34.948659266864,37.15603786830557,33.18167524904366,30.218050463922665,25.84354747983001,25.163954612132713,21.34179798486609,23.15385682182266,20.269865118475895,20.155284625268322,24.334964353946727,23.627104125864015,27.28988273457762,26.06382199192805,30.94931502356058,27.028509634699397,29.67179823095432,30.68324643559379,27.064275963814687,25.002406609041696,21.062137141615565,21.87109838694297,17.70377544719004,20.592333286607886,19.953244831362348,22.379817316254947,24.979976958023794,28.054776110447737,30.65914084476549,26.996571220957982,25.007055253287994,21.56543531573154,21.99804575151588,19.377630624330052,16.3351106229548,20.289020627522095,17.93182453091417,22.27002769950768,24.825781214256917,28.5231444910365,30.259232185806223,33.42793665852859,35.366123285787964,34.15324354715308,32.43122742945782,28.651864516242263,28.1556087318452,27.645102812696116,27.443322317943846,28.305359239316473,31.82387947895222,35.344987148574624,32.49127588438386,29.898055127920742,31.78932194227307,28.42007175289352,26.130026546063803,23.368043759851737,22.30677995104072,17.904391171790476,18.144651439673105,14.625723177742463,18.13512750304428,14.930447660297387,16.242743871328752,18.918777255660864,18.723758376472468,20.68442430445785,22.526804164927555,24.307882471533762,26.879870866534365,29.008786328809038,30.38270638350397,33.63101286042616,35.55395105307999,36.07579065461673,37.71259519645208,41.00904491600935,38.67294543184227,35.463265955231165,34.146701406933005,31.706527710996212,32.79327910253246,32.661988295476654,31.9575250702237,31.04153313699656,28.764730647199485,32.94560170104506,34.798540743876465,35.38959280165867,36.85050774852593,31.879947177214685,37.234896752099374,40.4701011968053,38.41655282457492,41.0644152406141,39.76766828018692,44.8223185066576,44.4366851229718,45.27297114166523,46.66688070691497,43.18812145904521,42.57821865447436,39.910987698856,39.775065549810876,39.7638024603092,35.32683365973941,35.37097904502636,32.795330489393905,29.631130887801525,31.904573676325885,28.60556748444111,25.807801970312838,28.30854728697906,29.090765072929532,24.26460829745653,24.44419142403736,27.465255712911574,26.142434308469813,21.59128880736921,24.105279189184323,25.558224536069286,21.17065102710969,20.772038102249436,25.379438046333956,26.692175887668,29.819336212752148,33.083893193823485,31.818115507946715,33.56109847908513,38.3516014243223,40.72114110716899,43.091953748346384,42.38582516947083,40.92903187549485,42.63550484847854,39.761240658602695,44.52352791003273,44.29550386380711,38.7055698173097,40.86198804898023,45.38677559648761,42.21904694090985,39.72970874415796,43.02144264196176,44.59162146968003,40.67934077488151,39.234796572678434,35.32060913842648,35.467457853624374,37.75526476668491,35.81372589059635,36.198486318754846,37.33127363894651,34.02830280208202,32.111421705011146,32.873195347386805,31.31075515732575,27.397125876287536,27.755088820831002,27.780909342556253,24.78685276476163,23.8435895051407,28.393330271924896,26.980732933002837,22.724717790026897,26.49417166607922,30.200460209964426,30.7333286059788,33.270776107785366,32.52668061255611,36.89974256445422,36.02442718848028,31.429110829751668,35.174954648922,37.63968690548175,35.027811004052744,34.289296172672614,40.16598602705099,39.94334363994949,35.52708241531731,37.92384847673477,42.629068289416246,41.56846108098768,38.289181279235926,34.01712965678369,38.80368423761686,35.34711634168072,34.388589641245375,29.65744644863661,27.739186235177275,22.88062745839345,25.270029455280298,26.936282284360388,30.768010879305663,30.572934413129694,29.914225195747104,25.479558251600416,27.08507480805461,22.76917261133001,20.458554704395397,21.502520706964173,22.242984807768245,19.225480567707965,17.382637301231302,18.277913192413834,16.766930740990535,12.876178207827069,13.419318203469158,15.74852259523185,14.284263043242069,12.028178896496492,11.362090371073384,12.109832355942471],[12.141530735378865,13.449968606479265,15.570343623086734,15.552163625601208,18.102383426448284,11.592615605158496,13.558930103220424,13.02751727905605,12.111486058936077,16.6125924259202,17.350249690954136,17.004621517828877,20.738938757934736,20.641090237161084,23.61499276797318,24.971823563806225,26.289902132439813,30.627298146195756,34.776224676339716,36.414896525121925,40.33850760141369,43.679946622409176,45.531714342719795,45.63025264325339,42.27819645420346,38.38447239063651,35.875932041679015,31.59977033917636,30.460217248273736,28.04129725815174,30.267536612573327,28.03421067757025,30.179096471923852,34.82421280830291,33.686025772742816,33.724385738967,31.872457907318065,35.08777644619135,35.911731935921885,41.26681253932862,40.02533259460395,40.43747577567871,44.573677206382335,44.873665438043496,47.258927066274815,46.718233889772044,50.77011309673474,49.186976128887835,45.18832310423691,49.98195789288623,51.405057853046856,51.35787004096158,51.86060712231155,46.25347063721254,48.94966343651964,51.57883892571633,48.54826506991477,46.673182450653655,50.80988408123606,53.354708270530665,49.212650383399165,48.9147090509726,45.91135836281212,48.91505007787308,47.41561070151494,43.133993535666946,41.2157128028019,37.098186547594814,35.7296941683492,32.12267037161178,32.60526767666558,34.86915020632889,35.158325393382334,39.3030443383679,36.83788313744128,42.338494457679104,41.673268915912395,42.863904932897654,42.3017389576181,44.21925767349447,41.206405529310445,41.64841806791026,38.19440022446538,40.14428045006276,38.24447522553399,35.98510898191811,38.48965089939337,37.0362405815132,38.09658034481677,38.89662891704466,37.26302664126826,39.675092832806804,35.709748461109164,32.51475841203733,28.261966663652203,27.768722028143035,24.133404569359616,25.035047253547845,21.790557470180342,20.614612999138146,25.166050652825362,23.458487739408096,27.695802691386014,25.713388032105733,30.53578299552044,26.464728139828324,28.499596170596437,29.59541413616856,25.867408721513453,23.81014331528471,20.19619397506477,21.945434673025343,18.36797628190374,21.853678059736595,22.05937433225865,24.66788855546333,27.52442440462066,30.70528354657649,33.67542230017036,29.963703001856192,28.184401897738788,24.633623783123745,24.875657334584133,21.896890618564324,18.39064224430418,21.540080343035758,17.993144642259566,22.440696513998475,24.482521315712912,28.135630543810095,29.722142230021113,32.541819402591514,34.98011577133793,33.72425993940377,32.48761103288865,29.07880327844885,28.429892034119852,28.69893536673137,29.04363638853021,29.88881560507984,33.91709272695636,37.56326546730181,34.82535165935461,31.95594650098792,33.68055424168426,30.312076703985273,27.968843939476468,24.895438347812405,23.2125733122472,18.8180355300216,17.968769084246706,14.577151847748334,17.11679739640132,13.592008075472345,16.100829816154242,18.8789347569363,19.393130070332738,20.67902904483626,23.36156529256019,24.509220952648164,27.652736039678796,30.284776929330945,31.80840310471181,34.91932077226009,36.60055565446207,37.344264695718266,38.46852216714553,41.85401208804038,39.26568425600396,36.376512811997436,34.788165032205484,32.68795913131449,33.53310910104127,33.31521056927478,32.643070674353524,31.375029199880007,29.589929107082494,33.291641278049475,35.40691198290704,35.59348522816283,37.28813011369763,31.901238637836027,37.134566352346155,40.44832107544177,38.70835125828687,41.784563059464524,40.91900786441704,45.825203712839915,45.690618358947695,46.07374232603269,47.2834417762438,43.649805057106164,42.761191889307355,39.89878747089496,39.44721628562404,39.130723569499224,34.75612030688173,34.30347024288508,31.481174066902312,28.16252847409426,29.854780894929863,26.342696935577784,23.972939496012895,26.32349385241863,26.517015231654284,21.72732538371863,22.57891400131789,24.979274152390456,22.996761899295034,18.935786762495866,21.551882733311988,22.476725131428953,17.945839969319568,18.25507290238877,22.68407357815984,24.32872394930835,26.801052282733252,30.812895307059325,29.26028000878765,30.589422786874177,35.38651728273382,37.445226934554206,39.98480663410744,39.13688690107267,37.89216780239157,39.61308472871841,36.923254968202464,41.81352049162797,41.55356355684809,36.233178129322866,38.5086029726371,43.102562116364126,40.07542937734903,37.79182754186986,41.251739728680384,42.87495842063793,39.02914224196888,37.98626823654584,33.66969442480036,33.78707707929051,35.718981481401045,33.32084198021058,33.62605929056901,34.3284019661924,31.302833746238022,29.557644378560504,29.724564804461995,28.09597234051755,24.51386277217165,24.664397285384776,24.21529173569796,21.148051268555513,20.401564889895916,24.69987564833779,23.016633629273453,18.804613448768706,22.787414866619596,26.36951563637477,27.184863703234107,29.741421752705396,29.256145453337805,33.66819072040156,32.69935382525125,28.44995993793875,32.33449832617844,34.770703038564704,32.28140231180776,31.94438829005236,37.66402255013587,37.51172462570519,33.446063297553394,36.002084604794376,40.49997118946497,39.57306954204719,36.55099830729289,32.459473817873544,37.326278722918765,34.154292561766354,32.64513215267669,28.258958441393222,25.95923957493013,21.24360404386263,24.274745596610835,25.953845360072208,29.836476225805765,29.652974941639236,28.460498299642296,24.445494217044907,25.937651656451557,22.157007082463284,19.02351374097461,19.57901755861637,19.63242133642842,16.80063882846898,15.553302110410492,15.588120889575006,13.49759159389505,10.80739405449803,11.219091543762316,12.357085384006032,10.333811667008531,8.262673614574503,7.845851014252073,9.41819311394051],[17.520378115891596,19.333962622488855,21.6349159901869,21.662208318333946,24.004664438761996,17.27870999514728,18.46106870960195,16.89993436248865,15.247024490795564,19.38068729242504,18.904394531635617,17.834110665347623,22.73238827565082,22.60097142744645,24.4962842759742,26.09858894155226,28.359058209947452,32.262467149780505,36.73381458698815,38.44856180248168,42.34781363496035,45.82143571005985,47.7635248495005,48.27879662013979,45.024866336098135,41.04799396150455,38.70669821980006,34.36850089496737,32.57768435310648,29.79495370746566,30.796948953743584,28.73044786346919,29.97524085583115,34.69141956448865,34.32958917007058,34.9635213911675,33.3791061578038,37.284278290061486,38.651650076164636,44.02644066814384,43.18697068468265,42.996306103369,47.00878830704428,47.70560445998205,50.398797772675984,50.2510530246688,54.18655909283317,52.18836146837772,48.47723637690182,53.45535767529061,54.38044445532545,54.27865773821697,54.37898178001659,48.82915589096692,51.10193303608962,53.73066408394091,50.72450825243655,48.46288601620979,52.350619602184096,55.2073867656057,51.004630705615746,50.120909530370824,46.783594265955976,49.96458407508403,48.969261398308554,44.655033944725005,42.61797042722354,38.26350669904171,37.01429228549117,32.980955899891754,33.696949380626975,35.51119246766836,35.49093181165501,39.91531309505662,37.29072590728838,42.35145989621171,42.33338038178915,43.00355313671064,42.985212258302276,45.3999406851397,42.50051415151124,43.596535463942516,40.10917979192505,42.716572282158204,41.08321732376799,38.27255432319955,40.446470242765706,38.369478544753306,39.313955856258175,39.16381380931466,37.485942905009146,39.284189512923845,35.20854976060113,31.859171188931498,28.06596009526559,26.844411968250135,23.804307485066456,24.687379735413945,21.811441115223026,20.0585984224652,25.633568645006395,24.620944084769732,29.257734704197745,28.060278523997845,33.52372624253785,30.05764476567846,32.16375609425105,33.87356821675155,30.540162192202743,27.93020931409055,24.827392811732345,26.23881613808057,22.561910839329272,26.11314747873561,25.527245946649174,28.49033058025155,30.757909992629788,34.29573111015787,36.429507813086914,32.305672106802746,30.80758125521803,27.450437268692596,28.5744707568824,25.915086744318913,22.76203911444013,26.42435855840894,23.253068233989815,27.414668657979234,29.467081175635148,32.61908976941862,34.85585689238439,37.37793639786554,39.810983335019266,38.01472304431315,37.2664911090275,33.78511453105242,33.7648865855502,33.745550908653705,33.93807062198755,34.36644983445447,38.32402378279167,41.56742662631494,38.41630634654899,35.74154794327608,37.156459475940466,33.3489513303573,31.41813650814804,28.056427408109123,26.578345061712287,22.06523969880122,21.19130505004278,16.833197597027258,18.479710184606834,13.443153554227415,15.661166560694427,19.485278619048298,20.797921185690388,22.832683182119382,25.471291054606272,27.66887986438586,31.349470327983443,33.33283954223542,35.64982422122763,38.33173451012389,40.624511038325835,41.8891538766562,43.14354098453516,46.73572332056647,44.425334624298216,41.45683357394493,39.767381699245576,37.34964517406528,37.72833675062717,37.046563519742854,35.82770686192477,34.142275376944774,31.86479248594232,35.21547323338222,37.975205948424936,38.33242675978713,40.674636214445464,35.565268168632514,41.050904820179966,44.51617021780693,42.86973636328806,45.52265197948934,44.39570017156618,49.44023261296478,49.69878443112102,50.24554769247428,51.75041045266341,48.03369385819819,47.48777743641746,44.76966652177164,44.4337711926921,44.33900268812385,40.13965287046741,39.57794270160493,36.9657843868713,33.34959605788194,34.997340518006936,31.1554770699724,29.15985479365372,31.835375505299975,31.614938200012734,26.921099053772938,28.41426137843369,30.463973553023795,27.8183759816471,24.42963158733737,27.08956705276275,27.503891316175018,22.902027496142555,23.734087191016776,27.85036324600469,29.849829909463434,31.713544423302178,36.3987770976569,34.70897707846062,35.63480132192721,40.38824230784025,42.03065337301315,44.75552578182352,43.61107861364058,42.514811661797275,44.01696853848369,41.28108986884877,46.284499681275676,46.31325660287546,41.23717546640947,43.30500682450442,48.112428628368114,45.37535585553644,43.05957452199607,46.42085874540246,48.38363440792967,44.6751294250199,43.47529295366945,39.15289807930406,38.734405197100806,40.460177076739015,37.87651884343286,37.65260764235145,37.875804967471055,34.72949563262478,33.697300302536405,33.53960987266839,31.26985513700909,28.23382533727882,28.883762271504178,27.693085924534188,24.491653709945407,24.634662269472532,28.48680310522545,26.204435061604084,22.439409846519716,26.868138985856632,30.07954750373916,31.4494185363913,33.845893095887256,33.52644090687958,37.980625821531746,37.169562656689386,33.396372311683464,37.202184584200914,39.772924334260566,37.4932527791091,37.36769392613121,42.92927433540158,42.96969343885855,39.15584356938917,41.671722424556584,46.094421361949216,45.32135898334752,42.4385966133484,38.44297750378267,43.308370186668846,40.193880856659604,38.46575080357031,34.23310813848612,31.883930050514852,27.24199156291798,30.35194291723324,32.09044221531906,35.97513921596843,35.76278680156169,34.395635804386494,30.357118147989762,31.509551803383207,27.73637251100367,24.666319553927266,24.390709363307813,24.15036968510907,20.72976062600202,20.5779913430573,20.75136475478552,17.79140626697791,15.604015952805817,17.037760037788985,17.308543043234693,14.169823410134352,11.931319498454341,10.428428597934124,11.253201854491286],[18.98457720823879,20.267115276226587,22.19138429264114,20.936665740324855,23.121815858888045,16.420862324722176,16.716650341291885,15.453393886880892,12.50540684890742,15.93803599174998,15.067590432346744,14.67460259475796,19.43840548659478,18.584533823513986,20.547702003152576,22.550853736140326,24.662106730395738,28.395685649161003,32.65081944301862,34.71452635678203,38.42992001734814,42.106099110198095,43.83399001963849,44.3615550021045,41.29725250859183,37.17859525236677,35.14915078366952,30.81099747541077,29.09872088594772,26.659851316468053,27.17532342518394,25.852011398794097,27.166029815160368,31.669177273919903,31.372058278091174,31.678007221373917,30.63810320889589,34.18117948561861,35.62996438112921,41.32839818973923,40.10753443449159,39.5814854244196,43.68823777949834,44.56410150148611,47.19228773548628,47.293641852630174,51.20642214591402,49.1746689630049,45.738109683108334,50.90456268969204,51.768063171885544,51.931303194764176,51.8604902845722,46.30587737996069,48.61223599307738,50.97086084320246,47.722898878928476,45.587422739379036,49.49786419089708,52.132292332259425,47.67772480466697,46.668384765984165,43.3217563549209,46.18898252226539,45.28943852672513,41.07509849165245,38.60707762816644,34.323368287563106,32.721028853599556,28.663699621022328,29.189528144734552,30.850545252176346,31.06348126843394,35.59573410271303,33.27994697884975,38.50293046780912,38.72035284555385,39.65813231433644,39.81237364528987,42.35022363088782,39.84358110156399,41.082751500001166,38.04247793782761,40.70805406743315,38.733158677901486,35.79156127859595,37.50998969070807,35.728741068088546,36.058018120605205,36.11118592219434,34.01242954341802,35.66113903533908,31.57731640694337,28.454526802033147,24.498754536207578,23.135197923157904,19.867666359408325,21.654099746262713,19.12505205655384,18.581245503629994,23.650459068010733,23.656876823034327,27.64353901882995,27.19308782940862,32.68438463338087,29.35434673014122,32.09369354801001,33.70650706244186,30.484112307658773,27.862085080941963,24.425305877380556,24.92746069551727,20.743823650636735,23.750268849746757,22.379413525931966,25.209285257843675,27.165945246463636,30.63795129440997,32.373702041618046,28.27465342919533,26.662539477266066,23.448527435049016,24.85407123210938,22.5528379928745,19.87354695597083,24.166605458403364,22.065838648855546,26.06484624211562,28.582746664372173,31.742030466384914,34.167321275513686,37.01939277629925,38.944294728187785,37.16887238779374,35.9664286867498,32.14147781484867,32.34347270258552,31.59951914858869,31.323559403877358,31.680779282679634,35.18911270925764,38.24498521685454,34.96971689343726,32.56136775586704,34.07814416186942,30.264837435638604,28.42387774548032,25.342944148734226,24.45295544060924,19.96847055316555,20.124330838091254,15.691460436767187,18.437378818857734,14.051854999536303,14.868571929614811,18.441621101322692,18.938370334900867,21.625510434858004,23.407463240691268,26.20833459586091,29.33130103744215,30.81125043747312,33.01840023730185,35.78792054844389,38.325316856871254,39.43039112406638,41.156078472016226,44.67726000143173,42.644201137164174,39.38850378180842,37.933559938392186,35.182080339950375,35.737874688253484,35.119942017770114,33.8650290776354,32.53917018270493,29.78536598266746,33.63341976935288,36.092374452472754,36.85602044883003,38.94568003174043,34.261895311000536,39.86344073268319,43.24667281653126,41.29257892472991,43.50818762651017,41.9628046829837,47.14226989915718,47.18013512219781,48.16145023929619,49.85771113076079,46.293495863659956,46.04102394491606,43.5289471036236,43.516602088014444,43.7536768422171,39.514631562406265,39.446753561862565,37.118008718440784,33.615387590107325,35.912502274754125,32.26227662032649,29.792774249467286,32.70729269381297,33.124497802244534,28.33015515052281,29.221312007284645,31.9592866570463,30.008308664497658,26.057609051446956,28.74777447305992,29.791708218238952,25.26173026670437,25.447196593020003,29.910490979533424,31.490348209722175,34.11976789148259,37.95441879649355,36.45717777841197,37.88169856107607,42.61324585591642,44.70363040239958,47.15744420798503,46.116523864813274,44.69968828795776,46.16089342457766,43.15427360616109,48.02653803573011,48.12631559137623,42.69374672145524,44.60211197802739,49.370283039889806,46.49117869422071,43.905650170421254,47.070626763996664,49.036613729725225,45.27149828372311,43.576486663182564,39.685428183600955,39.236097959087616,41.36159177470197,39.29899314981393,39.17077249601056,39.95203982561066,36.44924663808044,35.16406589681122,35.75749415011492,33.599822590367324,30.071467947230115,30.96340991729311,30.427526582337705,27.29083945147198,27.116219982973014,31.423782622259523,29.562008205181716,25.648464645011344,29.882503456010575,33.33749947002077,34.28921425753827,36.63141322236535,35.91544740604677,40.367712573269074,39.735206687793344,35.470280416711155,39.095786326485516,41.77907889797661,39.374503600042395,38.72419757003447,44.500783295198,44.55270752833801,40.32115946363135,42.59908843890404,47.3064223050719,46.46353353434897,43.297440140473064,39.1362518954679,44.00126200736583,40.649082916806734,39.52053339870744,34.90062327762446,32.8044252300248,27.996938645362462,30.60063305742077,32.22350566899641,36.06210367354529,35.73417776086063,34.82631055413398,30.299109888215227,31.482965668628438,27.183105536305543,24.90187979122069,25.05654510811594,25.57020214969735,21.928645218799847,21.104237620664644,22.20230015082839,19.846490389061696,16.278987016770106,17.934636263708786,19.532558128551493,17.028164048621367,14.460363890088688,12.924723608912561,13.14354137026982],[18.27375116290249,19.06309444075607,20.259064904955164,19.326875742525804,20.74743444612562,13.931619933609616,13.954140316379949,12.13302701723358,9.6940117354904,13.592310896341163,13.023853720489065,12.116673347320601,16.869132891622762,16.756959720727032,18.732050158880792,20.31140335165115,22.45926439903284,26.39335964752414,30.87338391762261,32.557249008413955,36.46087581972411,39.932305400195304,41.87320370194708,42.40740288957455,39.144058083927845,35.17561868895223,32.84074626769068,28.50084240615532,26.701712378763748,24.028303663115704,25.178369423398994,23.272225682186917,24.864874935000653,29.49422051500908,28.888249745193285,29.25854505338579,27.82410126844946,31.50923918851512,32.89087599897395,38.39922492493835,37.43427914440734,37.134624779388545,41.173519886856056,41.92427322666419,44.62537411442351,44.5962781937945,48.51653548817038,46.46471797245695,42.862826496807415,47.95022835501038,48.82266263111534,48.856342918259365,48.88196214223706,43.322788172732736,45.64591601926174,48.13332890853409,45.02041720457802,42.86193600533463,46.802616227589745,49.52232981230541,45.2339670047007,44.42056325386557,41.15548997811956,44.2427383938349,43.15435114929951,38.85273581253642,36.803586093344975,32.482407537056794,31.269194687601345,27.323018800842995,28.096445505704978,30.148036830916435,30.041392733777684,34.34146048978011,31.701450306039355,36.94137467190383,36.72157370989411,37.6298477451271,37.486555522751175,39.8231892590131,37.062729237772515,38.12088434467909,34.88404045162222,37.470128777876255,35.62356400926834,32.76242432412275,34.764308361238406,32.91709863760327,33.63842422438452,33.82762512521198,32.03061647409955,34.05770359077576,30.01837469562038,26.766205435684046,22.707273569661382,21.82414794034904,18.4555638529015,19.504509954582616,16.587791719577815,15.762106843983707,20.695334935882318,20.2571091689177,24.34409989945969,23.637872791099873,29.115056178136644,25.796240851057718,28.507580452276056,30.217655385948213,27.11319285803599,24.355225577942164,21.072576460198878,21.61322171900327,17.595702175770455,20.88969751131186,19.859437857766583,22.934306578723607,24.99658240812511,28.66750374785744,30.649448134848758,26.455313593742307,25.08100285305392,21.735098340248353,23.15157620254214,20.564719267212645,17.60873430579734,21.571961762955443,19.17137158124147,23.012889759941018,25.398800268199683,28.3672279962981,30.99861591516726,33.688243414297695,35.66400082791578,33.733359387015135,32.77264730806669,29.046727138360517,29.496062939208052,28.95563816644083,28.96994294506794,29.100822981207052,32.99215883615568,36.00462020782631,32.71110464030524,30.11176540512313,31.453331310569943,27.583667036217225,25.740800076082817,22.42521008038439,21.24859104299681,16.73578672545403,16.585407792742455,12.124164965821969,14.89968738476563,10.870679354930845,11.795635821614303,15.12965643046832,15.667723637691488,18.11698269422873,20.16090588237319,22.759087956078204,26.125854663995476,27.778179067387665,30.157676072497186,32.799387236369796,35.30735459085621,36.673872351642274,38.17600338203939,41.82018113537349,39.801194896887424,36.66952613569739,35.02786699176967,32.30986920447999,32.61565045041172,31.881797529717804,30.590847535095318,29.139018785215175,26.56370426381249,30.298076106777415,32.797502223061734,33.430458098066225,35.60510182128367,30.818183270542697,36.424938502059575,39.850679557839555,38.00115505918518,40.306803116713624,38.92408798169026,44.05399772652066,44.276813447996716,45.06725200701513,46.754369240102264,43.11140856886703,42.858004846993595,40.34090117269697,40.29886806406735,40.5877871298739,36.45901256448867,36.30210269775596,34.13131574088339,30.4708304105978,32.88516499866601,29.14361561946375,26.737170148672167,29.95408558053721,30.364033978882095,25.61579363208454,26.86344051297707,29.626653790894057,27.62127769651324,23.959477953750156,26.902572922617576,28.02398873333721,23.572992466885175,24.069806340536182,28.665646631416298,30.016743284826987,32.64152005151424,36.293810460280376,34.49953951753884,35.965177958665066,40.484209002086004,42.75597295886864,44.923282738045465,43.65975996581955,42.03821047126127,43.31556563671707,40.12880567821563,44.965730952068554,45.26288639599281,39.7938702891328,41.500594552862,46.35902611855541,43.62569632898834,40.91155886853617,43.954755087287936,46.15744277375517,42.508845120535916,40.573074928074725,36.76442134446546,35.99354610159509,38.11416198080613,36.156895256688976,35.890236964622574,36.7902605158769,33.131604587158606,31.91285461168637,32.759647748079296,30.52531833296097,26.89611278784769,28.06957824518456,27.72323113662311,24.636266620824266,24.59604183127713,29.05547622545906,27.402139971157172,23.68822508109654,27.95521321240664,31.396873489468845,32.18424666642489,34.25075985054554,33.23777514706624,37.68660892842919,37.38188179021003,33.0434482418227,36.400133120003986,39.312208285129735,37.05595015967072,36.14868794592477,41.90267860392852,42.26797320809049,38.0366791440834,40.031070140243926,44.84330657347868,44.26947886366258,41.138234817146184,37.1330731461488,42.16005076735918,39.03920422727103,37.99604616898622,33.39632910417031,30.96331181380609,26.265661279401993,29.142371013201917,30.430700865779738,34.22144609474066,33.57537150148451,32.41534440627153,27.734818506297692,28.566085578806607,24.314942054214267,22.12066713852188,21.861919567831958,22.502957513718286,18.647137441652454,18.022658637621245,19.56157277054709,17.15043626660537,13.246082826249383,15.692324005891079,17.55135636616255,15.005662874008527,12.204474119300102,10.509635185650758,10.384798381355443],[17.972631178861665,18.151000430353932,18.789131939956516,17.10892967993403,18.169332750273803,11.56748146763264,10.95529435540985,9.599839742847083,6.393002349700655,10.209167569620272,10.098153325331689,9.973905489163732,13.99830553508396,13.625644300230618,16.222171073541542,17.819775198143507,19.440929139006073,23.54706252411162,27.835345601754454,29.6010336811351,33.46901851510205,36.96070796284059,38.800869704244114,39.18063103814265,35.92422681032653,31.929341428870487,29.61970914847651,25.27905211431629,23.776059938572686,21.40930906791082,22.987728910185325,21.31496416618623,23.417722979018325,27.88759630203782,26.90874990722157,26.838949648361748,25.518935834744042,28.72904445875148,29.920767819445658,35.581807814023406,34.29163841812743,34.09124036815444,38.22895442439872,38.896247273810964,41.464372475599625,41.39509446583094,45.35853170936768,43.437025438472425,39.8343172738873,44.950688984081296,45.98026756511342,46.154931677071154,46.26022166662993,40.6688993693099,43.18234220401717,45.55147750103003,42.31984933046643,40.376747654391046,44.438727891119846,46.9319941820586,42.564604099211145,41.96290210212132,38.84854659518351,41.74067275865722,40.45482263881124,36.1982677917297,34.052975771089066,29.856762004171763,28.487640329375974,24.738813712829614,25.368008075876755,27.63861543763863,27.71271704171009,31.885508714741363,29.41073890244311,34.92344271102943,34.45997707125859,35.72758717172045,35.38482450902399,37.537424790861074,34.895120177096985,35.72766810025687,32.71891606702124,35.057434697051384,32.93217279295668,30.23274807138405,32.170764509066125,30.74082137524797,31.245998266156455,31.986482035769086,30.046570969642616,32.33645254193867,28.371646267953782,25.310260586608088,20.956371831659386,20.471555114119724,16.695237477118155,18.09588230153398,15.163737974010413,15.331658072779746,19.326660162608196,19.110998801952537,22.601925286131664,21.981867547679023,27.18179465372619,23.74076103765943,26.794013123274055,28.235330797692008,25.119396033813057,22.541673316034647,18.940710429064154,18.969681602209228,14.667567427112495,17.63648699278912,16.460073037065463,19.416542220172797,21.56868961251028,25.14525058097472,27.305916606872145,23.246249439369542,21.739560171816215,18.322659961397054,19.5815913167979,16.980072393841983,14.087756110813489,18.252649916378314,16.416886161623765,20.166107908940898,22.820099548408162,25.903472109474734,28.469539035114227,31.41192201005078,33.083777180775414,31.324582550353277,29.969127228903318,26.077968932247842,26.520060102226502,25.664209525825257,25.512147998574402,25.683490517024904,29.446539371281222,32.49820791582027,29.264760542805405,26.685479346185176,28.173696976235515,24.440505915241577,22.471145320964673,19.372383188549232,18.430413954362777,13.959711253321323,14.516432017851972,10.511951486110977,14.36851324323245,11.693487453406291,11.873317190912193,14.330596805715475,13.930504804374888,16.391643768673568,17.921905905742648,20.418029308810258,23.26100262131312,24.898496623262393,26.945011298791908,29.787809764995473,32.20987835153661,33.35561602151462,35.04379724007283,38.60863935458023,36.65941651062897,33.40840982624249,31.89578214001357,29.086304754614495,29.61138993802818,29.063411629900322,27.953553559082017,26.862028346962767,24.238082826685215,28.387779005040162,30.450386382658973,31.227901549924475,33.01781023092279,28.36452963061305,33.93984618414241,37.26773615828519,35.22603206965105,37.45224735531364,35.958074602270784,41.11122707356856,41.1028882660281,42.041645694162156,43.732106735597895,40.18735243949212,39.98193994445686,37.53707924300805,37.64013258274297,38.062339798733795,33.89169611143277,34.04782983119828,32.032276095371195,28.530892106492068,31.35161152571999,27.854107378557035,25.09467325119654,28.384372266630766,29.286002852301806,24.55112991163514,25.31243458682162,28.539335690679696,27.142316570572504,23.13472886493761,26.068323647396177,27.668084584535368,23.410063241077594,23.47412769470032,28.252721669772566,29.198830587562124,32.35511643037987,35.267554822152285,33.57404942108002,35.414265282721686,39.836184419440784,42.477165238665634,44.37387780255261,43.22060356193262,41.35876030444482,42.63456878465588,39.30831014022992,43.993605344916396,44.275604773524506,38.57184203713397,40.198484506752976,44.95302761062016,42.099417234188714,39.23430963610876,42.15099337895831,44.28731643912056,40.61129632234334,38.39599211809843,34.88580869400942,34.20076821886035,36.60211136683267,35.03964677131713,34.970048523125584,36.34154241746779,32.53953222619669,30.97857348493021,32.38162767601449,30.424198847466524,26.397332723597916,27.58810928702467,27.857759412979647,24.919067776506033,24.485323432218497,29.24207679537612,28.03519268938976,24.248102168606575,28.203632272776414,31.8045601557151,32.181999255415974,34.18286194360692,32.869190522409745,37.24815995117481,37.05811944737596,32.359613422827415,35.53948494322937,38.48876147844883,36.1590166299194,34.8504216971717,40.71137471769292,41.08926785616545,36.59166893975663,38.379037928031345,43.36096994054744,42.76624016655985,39.466962333497676,35.414921723471416,40.436427015141604,37.24976242336322,36.63763424385899,31.83857784009392,29.51608278893643,24.819271985754305,27.388314186786506,28.476017927229694,32.17836454148653,31.39230744618902,30.50740512632671,25.549101625584182,26.398420665066645,21.860338963664667,20.24309514775692,20.41660104222584,21.637357691341155,17.896782270885154,16.5582722730861,18.73086038670084,17.018953989864713,12.21206420881509,14.639338017690584,17.499262407784922,15.702508791308418,12.928406573935861,11.602133259381215,11.250233620676855],[14.529140976113112,14.279953647060077,14.413507335434566,13.664594966558209,14.424911702232194,7.580803731398591,8.099192961520718,6.972424648217023,6.377881819886973,11.115629943748896,12.396604156866667,12.045969306127324,15.04343380769547,15.56542672322493,18.670390299168027,19.60162831510423,20.672233047834776,25.142869274259937,29.36887954686816,30.68401931160569,34.71108239248826,37.87449831195438,39.86395656092937,39.97975290617883,36.48816606275815,32.736068539139644,30.0134467304289,25.768660552967482,24.632093274869927,22.209275098639793,25.100223303514756,22.625150016265337,25.260723916318998,29.78952599699016,28.219570804174076,28.04697959732173,26.033387615247882,29.076354590045856,29.817075093828905,35.12071032200975,33.95109997868834,34.46296214014408,38.555397705890165,38.79661870011461,41.231072527439984,40.69053697257762,44.733707440033236,43.09367526828945,39.06751380517194,43.891924000745014,45.2770441358321,45.25065171669647,45.76071961182309,40.15125930786418,42.90262456654037,45.50375245029522,42.48695313995524,40.69097288258714,44.87655298174171,47.35469480114985,43.28222778560752,43.18776498879926,40.3308538760234,43.38009930207895,41.68098313978535,37.38497237861708,35.77340445715072,31.71879563505961,30.66687707269109,27.298741346248505,27.972125635713798,30.65431994815005,30.667414884028315,34.47362801664351,31.827197980949457,37.39701377563775,36.274863345209766,37.631663846309564,36.75922056785305,38.4392124603953,35.38325501685756,35.6341147627891,32.26754831326181,34.098643076393685,32.107766746378054,29.910776392502466,32.485856805568055,31.222886986969993,32.37809796792071,33.57682340420349,32.08704204590996,34.90567442560569,31.086986546338,27.978053923796562,23.572814119378947,23.727916504049823,19.918368268535023,20.403410201256914,16.996422533911645,16.469398143655763,20.01365781257887,18.35774473853269,22.07101662291862,20.218144443644594,24.950913546243804,20.96061770678129,23.524644358783544,24.673824821779696,21.21859853555617,18.923866316273394,15.175121376335316,16.182089072201094,12.384284309903768,15.952690943659595,16.20953889613627,19.06612222559341,21.88299138077764,25.286216437176392,28.3425698849587,24.57689050565913,23.082628897574377,19.481791029972705,19.884172788037542,16.712907838494516,13.075040453707361,16.148104228442897,12.956209641142733,17.060498323757322,19.344338308893718,22.73120663665079,24.852967600961428,27.721913257117677,29.79304235714235,28.293651469111005,27.03403284293913,23.454658495573895,23.42345750772408,23.390879053890824,23.827469276841313,24.238513664052682,28.53569102684995,31.959466301759527,29.10129420924364,26.13899196538894,27.680976738496216,24.260486958592715,21.954513181618026,18.77334946643279,17.072769639970762,12.675010726616737,12.194515166614421,9.103986735297285,12.759347136262917,11.011086787559094,12.492953166963597,14.193942043233871,13.909701628724683,15.08265479577338,17.44828302600356,18.56498903232284,21.572881175162188,24.131251535989932,25.77665881577474,28.785570009771412,30.601760451381917,31.628122409798003,32.799837901637105,36.34394443426861,34.018055525603216,31.062165081369752,29.357784319563912,27.00656112322775,27.609913224919616,27.279330100650963,26.55464135986163,25.42591491361214,23.5916803018732,27.526056780809384,29.39361595249998,29.70269692595915,31.28254774460019,26.070172253657642,31.420575939948986,34.74020268000563,32.89345064990389,35.754646310798925,34.798258882468275,39.74190207053209,39.71116359315363,40.16366489540209,41.53151104713405,37.89009258777555,37.25544286028987,34.5574814264511,34.34728587701967,34.42515572752593,30.185039101716196,30.036296992468152,27.75495154485374,24.244185018055454,26.77680575439343,23.281835211694265,20.56416228108334,23.718758508635464,24.504660310298082,19.75175439525303,20.6860983489771,23.77133239738347,22.355405584170025,18.429639421820113,21.477167544650346,23.079648869198778,18.92886954554973,19.21689578412874,24.005363555554172,24.831086102026514,27.894041221173115,30.784622350141518,28.9045560775917,30.71616352656031,35.06233390370244,37.76775593607117,39.577717846411204,38.43105089011244,36.57189887935933,37.91941320360962,34.687063654572505,39.39029514172005,39.546983532313824,33.86998417337615,35.63584530784109,40.35323610353771,37.465859105489464,34.710194498427896,37.77620307336444,39.82451941907977,36.13341467709645,34.20151639898117,30.427369160589777,29.935703648644648,32.228971695201196,30.49319519775411,30.62881715047105,32.0155276477834,28.41806967137316,26.58189323233465,27.870778344872594,26.19874082570041,22.045832011080954,22.938792188890076,23.40260367448383,20.547221941196735,19.82099857666887,24.671124152823197,23.712478395418053,19.91285144318434,23.678442111047282,27.32015143015447,27.5163167081609,29.48842657871886,28.146647922580687,32.50821545010706,32.28614361509749,27.545295030953394,30.74435418443217,33.6724419518459,31.362557959519208,30.097879442127446,35.939554968376974,36.349789767247294,31.940495965838757,33.76167605933629,38.68636626512856,38.17057087697778,34.96942086228127,31.02645212930348,36.142712574519045,33.17444084733986,32.37651640310361,27.728663469126154,25.101469128454905,20.518715459668012,23.49138204453431,24.421541740834506,28.1377816074614,27.266851539443696,26.061497628972642,21.278678198912626,22.13960916307674,17.885923655992315,15.719757811157816,15.935080500295344,17.011714680724342,13.606320143695475,11.959635790380993,13.915424913521585,12.43814930665239,7.545617081281492,9.973158618251594,13.007875432186582,11.66295880360348,9.094385891935994,8.46372657476661,8.565250599843322],[14.237097376211501,13.36334775679414,13.1263720942789,11.014949142008904,11.873030227499182,5.4264568855272275,5.562732923945521,6.615845179519011,5.38885647583779,9.387955934936734,11.529282986475444,12.410770673387965,14.098952488605047,13.952282860928563,17.890625302206818,18.939313972438768,19.130409351777743,23.709202514374756,27.45892913108892,29.018358593296544,32.87758563327583,36.10768615562046,37.84694419762724,37.68126220895657,34.29315787668777,30.480156525824484,27.915380400809813,23.73198886648481,23.18458291995706,21.35924133008205,24.597011189855372,22.64846964500178,25.731389367757224,29.963745992213894,28.065603446941402,27.303198182787416,25.57034738883747,27.831699317389038,28.244624250142895,33.758431897568165,32.00514883885281,32.673722457286196,36.91106750383522,37.02405293705033,39.18474738787632,38.56048369653617,42.66660460211585,41.29327743060203,37.29031378869169,42.117014842631924,43.78859426578875,43.984157124794166,44.622287046717965,38.997765685588305,42.01626570747894,44.42190504514515,41.234350224774815,39.766659532901365,44.08515109767531,46.21570967013603,42.01570399099759,42.16769582042198,39.51221359790156,42.19787565778045,40.29467539088903,36.12740681666626,34.25113555443109,30.44683456145866,29.025074968900437,25.9677287303566,26.295789956530758,29.071280018880195,29.497208242758116,33.17551207362774,30.921721118832295,36.7708919930839,35.50220837342422,37.31155149146733,36.29093737615419,37.768074154639095,34.95668563990733,34.92170597608578,31.92444121800796,33.365900783220795,30.97271342653669,29.07201038180931,31.49307492769024,30.843746659449902,31.604004266727472,33.45652578362364,31.715351417848456,34.68407298935193,30.982904400783777,28.184516454544326,23.56959294455985,23.983839106336706,19.87285070392807,20.98512960516841,17.805206438361893,18.32691773149806,20.881857690781416,19.584209981963333,22.480302693416547,20.716931958426745,24.896630699890032,20.684642236301766,23.558030932114576,24.16323650408106,20.55801856776099,18.777925522890392,14.488568341777398,14.940548923279849,10.789751565093074,13.666311163085236,13.936367921200683,16.299070733851913,19.40737807448216,22.424377784499214,25.834657586901024,22.452225414168694,20.603981730056645,16.980772869942868,16.771054761191884,13.580499142484388,9.935485230389002,13.260871921806315,10.838811157017567,15.08160960748807,17.779748863507717,21.5750038381375,23.254497689419956,26.589972324407732,28.283718763894086,27.242417813437324,25.25104330324261,21.456921531550996,21.01754394549112,20.58907791123085,20.71266534424274,21.489898916352026,25.45748145057762,29.110335080538796,26.47843025768799,23.581377616926957,25.493014450342855,22.43652768800881,19.86282122858291,17.22419605633435,15.914340471742468,11.80110617319133,12.370935381716121,10.399316803525652,14.866441527243879,14.178533958242447,14.99221757759235,15.95514026772645,14.6882192219644,15.748508285580556,17.353488408224184,18.11340960048884,20.150692843666622,22.784185043222763,23.67556565454866,27.10504936759511,28.635765730317626,29.091220520749097,30.552251732827163,33.87204845603011,31.517038429028904,28.373276697961114,26.957598761876664,24.594812757742442,25.758579298697125,25.85517975379039,25.5232605273841,24.977570710592286,23.168488348447653,27.589751381396905,28.81166178823693,29.287933757888666,30.232003543880015,25.189677462633824,30.376412474543617,33.50351143415839,31.376238294769404,34.21739668616803,33.1366897581076,38.069681843149446,37.57981652724576,38.243046415148086,39.52823859018761,36.06530915269828,35.38068126406077,32.72301452808941,32.6522077248147,32.775083777778626,28.374622927607117,28.665954880504614,26.40970915332042,23.299442046593168,26.20244296781212,23.18159651863595,19.96443692356032,22.865089966835544,24.320154168517305,19.63164810903956,19.543835580555626,23.221296789678206,22.721213724461634,18.15905528420107,20.94761821749823,23.139265662862517,19.29228757732022,18.753404807471327,23.635619988187507,24.0376073543571,27.791153468033016,29.784139620049178,28.2469926831772,30.517238050242955,34.847918357386874,37.90306834507571,39.54174481956387,38.71099360412356,36.70858243755477,38.198777753172116,34.97367150487967,39.47064957358916,39.4274483422778,33.51810075007744,35.35525184552701,39.82329684482633,36.668861179800345,33.854834036632305,36.86745228329812,38.60425378968757,34.790328365612424,32.74966603317328,29.274570848168977,29.228128844123493,31.860013015530413,30.544139077747165,31.09065949502558,32.96945018504894,29.403046517138225,27.049895310314962,28.810398760281615,27.62598285681508,23.12594567238962,23.733073703361974,24.85723831830481,22.231472082124377,20.874704079600484,25.88902868636689,25.38761216470772,21.437141734961948,24.66763779826596,28.46821869872982,28.228598491524124,30.292894134954718,28.804643178898203,33.01971549376906,32.69184501075424,27.57651502931903,30.72048306746225,33.48585280872305,30.98345827142931,29.395895760681846,35.357633788555795,35.544273687135835,30.80814652028206,32.57182549794887,37.61242133458445,36.878104300755126,33.44872252427825,29.346485077349627,34.34450052167407,31.155750464665132,30.855163194907032,25.946901225670704,23.685946825000727,19.058006999946883,21.43115480840806,22.301857999215734,25.94082637306554,25.110818203297697,24.446284716804126,19.44395717270768,20.67391222623474,16.035850911281454,14.578818055472377,15.905483092528822,17.619642552250518,14.81462019039408,11.949116801267445,14.267568975020307,13.958690723198066,8.598601766555932,9.81864915709661,13.985317325370737,13.784188319379531,11.666933353075814,11.614472973703158,11.806496885986723],[15.942458777757876,14.39455354891898,13.453003021096615,9.83832914980289,10.121877062418005,5.683732247736516,4.25851579253373,7.517130189725358,6.038848439467518,7.972939813639184,10.989531381870378,13.018614094862786,13.040423159194772,12.272797064283013,16.9220056365681,17.955769895418776,17.129874730929053,21.715543229044474,24.896869225597325,26.637405017553892,30.292110404869064,33.53624965584807,35.028618356006405,34.58553243251609,31.30404111657522,27.476890109615873,25.077475979955945,21.023656628424185,21.131384342691934,20.00566941591932,23.613583227315402,22.222351737812225,25.730476361830913,29.55808706342785,27.30802301156565,25.925456005102916,24.511008054937147,25.883068598818593,25.944551837322972,31.621224820712253,29.280224008312032,30.094600116163026,34.43955029781315,34.426670394090266,36.30681605636573,35.62607250183532,39.76970475674591,38.64862634367587,34.714675605402796,39.537367185872455,41.460133585718985,41.8950462515188,42.63450302887017,37.03398859083413,40.297409353425536,42.473899579707734,39.127402709903414,38.00939416364674,42.43150038185477,44.18920099258337,39.89071104956978,40.31045713602934,37.89990883750111,40.20457099042693,38.08297298390419,34.08076530159981,32.001394228081594,28.513711270413513,26.790756081500515,24.164879160786334,24.16578476494517,27.078783271276635,27.8596389728983,31.281350590405953,29.422926268922172,35.4816678310089,34.00573444449506,36.27204894989791,35.07218797380709,36.30041490112303,33.77487719833103,33.44313240304412,30.895018906044715,31.930676800247415,29.128668083418443,27.546995902885012,29.755233949386415,29.77088647105994,30.114089582718663,32.656290791830976,30.71131751621019,33.85123165394085,30.35148307008622,27.928074279133355,23.205279666233952,23.97960953341836,19.70192168260695,21.29140285486608,18.447530200606952,19.993818938841375,21.40067637128255,20.55291592530826,22.469181434295173,20.95512041854711,24.48285778612977,20.25105246474781,23.486086540649335,23.58566990613605,20.056024847084483,18.77334545603703,14.20212664033217,13.719972320651895,9.399805049308437,11.079011528524674,11.256443911628324,12.952581502159488,16.320586350573038,18.894453491868312,22.66625788514949,19.74892907340937,17.601820450592246,14.033805809129712,13.109210665486133,9.909540623902139,6.373590465720878,10.06987697807754,9.232988313839789,13.135159647062787,16.2853454520563,20.27055118289366,21.61338040344165,25.36755398759962,26.513239275380094,25.880593756674788,23.147146239585638,19.1225082281763,18.448735114566368,17.38051272840117,17.082737836250388,18.154504177438795,21.730473913639578,25.542344556493855,23.129730107928705,20.33460015295803,22.59841454706908,19.973640089594216,17.17572927234784,15.243471310885951,14.499045854801974,11.031527836191918,12.806743269273738,12.0500407261948,16.980574789328145,17.324582837557656,17.435092379510788,17.60817767318039,15.416902376329917,16.340099385526262,16.997709345745086,17.43493108345696,18.298028609461095,20.85643633663894,20.943956756455723,24.750537736457243,26.02836476439397,25.932315541709404,27.753929638633654,30.847188316313797,28.57857931634352,25.211728842071434,24.118618685277962,21.662988532788017,23.367192157949898,23.879693272945648,23.930227597826764,24.032605307623296,22.23708546985859,27.095760249408237,27.61052330988409,28.304067892108822,28.57755114097287,23.889190098630426,28.854427267112044,31.744663369359344,29.31392611470384,32.00263421167382,30.74413311694421,35.64763352055598,34.710526433408745,35.640635440261434,36.89520329157764,33.64509677359133,33.012309935109464,30.485041457713834,30.64590903839121,30.940906093823887,26.484443098140275,27.324427073178054,25.301434818534783,22.631905207108534,26.02918022141331,23.544362652464986,19.910195921407222,22.65387360071758,24.8183680980532,20.386039252943352,19.367870751829596,23.60517514126062,24.03586310829518,19.16637513727663,21.669740504011386,24.41280128154759,21.029232832798424,19.82199314662607,24.644394371527923,24.508099353809165,28.877176055460993,29.802459414193546,28.557203796648746,31.283183906798026,35.431918038072716,38.87076318016251,40.19725821378759,39.59392240104956,37.36772864981768,38.87861101812081,35.586634011289746,39.794940182439284,39.671785753360275,33.559943004749904,35.30892884285682,39.516667350502516,36.18856194544119,33.24641403622605,36.06060935957803,37.58415486092062,33.7405639165851,31.38922918168576,28.424028368330976,28.64804255753594,31.638997279907706,30.89437208686389,31.744287368570184,34.15887371607545,30.55391058561038,27.80890580180158,30.17233670223709,29.38803230224111,24.618815767510878,25.141861076550242,26.927308389981146,24.583311074144685,22.813298629005157,27.899928802992523,27.87506554970279,23.98322273114874,26.693101851535207,30.539824515793132,29.852544447459156,31.840124548597476,30.09416456617905,34.09280623472238,33.833071265521816,28.407608370563715,31.285562048182484,33.95930617360173,31.37006987052066,29.318000406598358,35.30432561193754,35.40366990551291,30.36716019832678,31.870672524340137,37.04232474929526,36.19971986670086,32.557094253782175,28.406883915044048,33.245464028133306,29.929006059646635,30.294621559525762,25.18417870131555,23.298600654880026,18.850399497071454,20.467062451738748,21.06863488981937,24.472327045179277,23.536476947255135,23.468887905015187,18.21421770634528,19.605022060688093,14.626084223203158,14.367094271863174,16.55280606672588,18.947101419908126,16.662897036444754,13.001065478096441,15.830416959393752,16.502517954617794,11.031857016822647,11.58626970620988,16.426644121169392,17.035860775957854,15.207821178282218,15.388484338880899,15.420648890263672],[12.01662119593799,10.296554037871418,10.195218901662722,5.648866571705903,8.73242688524627,5.816456155817726,7.626371214683519,11.440602688191372,10.875618869211849,13.093359681902207,16.002957805431258,18.019119874373146,18.181134869545854,17.126167350289435,21.94559206739195,23.082371074264163,21.941201342210356,26.46611904524538,29.19523107674146,31.081946447985242,34.53934085338768,37.73667942473186,38.993508575045894,38.19665023714015,35.05192355299717,31.297841154685724,29.043465466050183,25.215360761066254,25.827167128797754,24.97060359388107,28.710541330821698,27.362816265095518,30.893779837770662,34.72704042728252,32.40336536004847,30.88823062891266,29.415883089380316,30.436242534872,30.134983264290497,35.64138975581063,32.9777442021164,34.20084608929398,38.561519440072885,38.26646525392724,39.79382960922366,38.779064367607525,42.949027617075565,42.26200602308664,38.1878355744547,42.72322667739578,45.0723262670978,45.52527716679437,46.57459968441744,41.02621312232229,44.51265737862442,46.68910747275031,43.37490840088873,42.49895225654442,46.986693220898196,48.545164206294274,44.31614570140038,44.991689993493054,42.7402869049747,44.843830905796054,42.56468996847041,38.68961550443229,36.5003932373972,33.235320659860264,31.222939603099935,28.794792404555505,28.468296903224978,31.213449952976166,32.42293290151652,35.84047577963925,34.288778390634754,40.42323701016341,38.926174372022885,41.33647022494018,40.05053085239255,41.105902901396924,38.56320977340722,37.92195807026573,35.34865326366972,35.96613985861875,33.125085548893864,31.97519779198601,34.34120078885017,34.61209771770507,34.998615108719584,37.75898110942337,35.79560638149439,38.92501785119159,35.43802829418278,33.05957847678899,28.326666835782163,28.95869908718331,24.645716912402232,26.409062161164844,23.495824104055213,24.605773243748427,26.339840859398596,24.92362528552542,27.067594016031038,24.872938579640753,27.90678109435716,23.23349954065464,25.84346269193728,25.33916563856714,21.286504725376812,20.7943728947348,16.035896935847802,16.66080760541731,13.13649338157243,14.59648320802206,15.644018212753107,16.53420156510549,20.239213114487566,22.034301061151716,26.321700510051713,23.99027816273388,21.47911755112525,18.10031802391516,16.165753443603524,13.211475289556244,10.042392808304692,12.343749798609586,10.631243050542864,14.979325655852177,17.71654730831952,22.346000400790594,22.448922739052357,26.424621980328162,27.86220935411789,28.006956361406647,24.864610110718438,21.217955218141274,19.185118559653503,18.797588142924244,18.586077572763234,20.590208145688397,23.780909189640493,28.110793699258476,26.340810456375927,23.580583832621432,26.203433144933026,24.1610068974243,21.13403413744453,19.65860233173098,18.700952137624057,15.574726161935121,16.629741742592415,16.170751646446288,20.60429446777703,20.487126723481172,21.50153306488786,21.99282384806503,20.189320388930522,20.628087120588706,21.7326686331307,21.337020780224787,21.90894560455265,25.01847710222745,24.28765707585963,28.416230192461004,28.946474501967437,28.04996300646547,29.65502382793694,32.31173735482673,29.53657720298434,26.366045657964033,25.54601437470326,23.764160924061034,26.1296106547533,27.164513998266933,27.736539785447825,28.01367747441932,26.738532409723753,31.454847537130775,31.720735472498756,32.12920968254705,31.98300481876164,27.01377399153875,31.513225729291218,34.20085632062971,31.83145430978513,35.04866893297393,34.1459730132886,38.77738822539498,37.40400521115368,38.104606886670254,38.916504310210094,35.808969143324106,34.62370410190723,31.846228062719536,31.677257366325794,31.392104471167695,26.664620958535757,27.39058230526437,24.695282776083207,22.614801647183302,25.353996881322782,23.310041501399805,19.587679115839386,21.206252249660864,23.45203878631455,19.053214537578864,16.92453193067508,21.15237688989754,22.117373780570453,16.481669484048016,18.380758878997845,21.316424878104694,18.11850859705527,16.007750123322158,20.687977169829253,20.570814756359695,25.2900975315756,26.029713005139023,25.336471669243338,28.18773048594478,32.64190909193343,35.983358087048146,37.65762152861138,37.61613578785313,35.738573703537675,37.73173471327233,34.945785028941295,39.124178470394995,38.390240882306124,32.37343282115798,34.71275565772586,38.55054219549818,34.82104553391213,32.31653812652082,35.5265865075981,36.30461478209053,32.18440734145118,30.758741917237142,27.402936165394316,28.74399810187705,31.62822415613811,30.584714320186105,32.05739782626823,34.347579319945766,31.3383995402117,28.089666507865914,29.893637961621142,29.719956126863273,25.031728997447683,24.564824274245154,26.377695445282516,24.149106664069755,21.630812351780673,26.50672786767793,26.576830706190666,22.319158391161707,24.46444131567425,28.426442665329787,27.619938769434352,30.108474560485735,28.85541514552763,32.733788137260795,31.767704061941675,26.31753837561653,29.71229136610104,31.800843110963108,28.86524949344731,27.287147408784648,33.2929015303956,32.69288940261112,27.631906034307647,29.773286563500484,34.664139174598425,33.268272739760285,29.575418813463905,25.133869471919247,29.726077615615452,26.06124808226495,26.255191075412558,21.06900281555518,19.712096775167236,15.065473049422883,16.245960858146486,17.446841543514694,21.015106262617127,20.769527090296595,21.126096600022223,16.5392182932938,19.019486836352932,14.50559935977317,13.475461059857109,17.0194387886355,18.951808632470268,17.75783522249225,13.417945614549858,14.751535441514761,16.17644942524634,11.846565927508554,9.826140065810868,14.56378490833348,16.183536890051965,15.143631999777154,16.102822278860817,16.893732282439036],[16.50994952790959,14.196641782510047,13.198439327335896,7.310545770712877,9.187505341958886,10.440307836649245,10.799750546108942,15.305026823421564,14.630677410270515,14.944932775379412,18.202729846997222,21.11068949543712,19.64797922794078,17.933469449993666,23.128741944038975,24.19908975036548,21.80661355793184,25.971356264766435,27.585066862119188,29.702553462363706,32.644058614283296,35.74650337697789,36.51067143814859,35.19067191740133,32.368788058793754,28.7582436629999,26.935494164127192,23.621623262010505,25.291325764897643,25.49029294328467,29.501163187482366,28.917483342928218,32.822917513801684,36.04913660555358,33.34804073971548,31.058058499115614,30.066868671562077,29.76012371540577,28.8736005823982,34.35785748686608,30.797930684570098,32.30773012465456,36.69054746259634,36.14274040118372,37.08577854290765,35.91603950210372,40.045940306515185,39.896731436440646,36.00762226200647,40.34557497953297,43.142510332362775,43.959631185354894,45.20937788957643,39.82781206881968,43.63857531696381,45.43561673787395,41.960975607192005,41.67022865068477,46.22774690587138,47.16854944338955,42.89125286012269,43.99442599469951,42.17756900800342,43.632289804331904,41.05413241800482,37.559664822164464,35.10058279200575,32.470895012578744,30.024820123963163,28.377324253451217,27.51409351186091,30.266973402659016,32.04417419813311,34.97943123029724,34.11622133102943,40.3709363312669,38.63569789720397,41.64277896907606,40.135630241649665,40.79116777469985,38.71412743235307,37.624638836412586,35.745745255144634,35.70177982703415,32.36355240499582,31.807124311843125,33.80991955925702,35.03642095124886,34.84310660682748,38.48606590892411,36.295802656004426,39.5552951305444,36.423937759293096,34.59612585071745,29.891106936656698,30.893981347297434,26.558913106854238,28.82149361524652,26.370337180463366,28.453496653538444,28.990793106727054,28.064980644866758,29.068569322289544,27.178132131696785,29.220059813109568,24.687627053345395,27.52475614748833,26.265392338673937,22.470283518917185,22.7966318276033,18.08646370267563,17.688134091977822,14.715607860332428,14.270602705334495,15.305969448854245,14.652424435771056,18.406991949343563,18.927429512676213,23.712621031643582,22.494093447326833,19.604786850764334,16.800047447602115,13.47307081242722,11.302321596899741,9.691437188693834,10.950070709639359,11.857016700796631,14.925800818947426,17.84861591043433,22.497051405782248,21.743566996853804,26.19975047861736,26.778765730023512,27.74585831221902,23.508940044396525,19.874761702432775,17.100949540098515,15.81343906013249,14.793044525286726,17.67911253326629,19.686122314983905,24.31831593523197,23.284644343216677,20.91101211371974,24.068758644317473,23.02803019325521,19.863257367589952,19.700700420086918,19.527409152353414,17.574050553637313,19.62252365559288,20.234153556537244,24.94776244157248,25.721545871067995,26.09846275769455,25.88287379070446,23.287414159976006,23.546633828640772,23.626763394427755,22.76623711504836,21.69559146876312,24.597520689209045,22.467993529906497,27.026067774174365,26.911513329159067,24.843441845927916,26.943470515567956,28.959253756611705,26.254394699427472,22.86337199939326,22.788827166424113,21.20090946506336,24.55166721918068,26.317017054528637,27.540031843338877,28.723467752474026,27.619300575972453,32.6719749198757,31.949305879440576,32.585663877972166,31.411517553971883,27.11789937479665,30.986050892986874,33.16987537876098,30.43037962195822,33.43003527716002,32.370987307458805,36.739784230909066,34.545654124036055,35.60675119137185,36.22281471153335,33.590428806936046,32.373529496383284,29.833345265513078,29.96248563718265,29.8109175542115,25.099434392953544,26.679156221691734,24.328231979654365,23.210373325188744,26.401657244358354,25.312444608085965,21.24375229396122,22.296445362270934,25.470004966764407,21.725235151142012,18.23663141978061,22.973295468671683,25.278660514185248,19.574064121154397,20.79982357096274,24.343344088805825,22.025120869550232,19.10325440702553,23.25315117858796,22.305109786345618,27.748311016216903,26.723459799311733,26.654766531583025,30.10552998323133,34.17072239745241,37.98164799389546,39.201914080679536,39.59114918217539,37.482977606589536,39.53450715383409,36.79660582702677,40.45216352985662,39.51064915342733,33.36752827070127,35.612212754912036,38.884895821403056,34.89595098870623,32.35724946854883,35.24429983364216,35.48524183591314,31.363383030920282,29.700160634657948,27.221574711476546,29.176317046380984,32.468530507218,32.240208163589706,34.18261027827261,37.11992997660073,34.20199039588689,30.481288785553964,32.96067371927715,33.356910225759556,28.48694801966143,27.85413821946061,30.42783102455349,28.610837080864417,25.672527078015207,30.42340124345351,31.089499359229816,27.038361269349814,28.419884516770708,32.30090755632836,30.912432435909356,33.26311781945204,31.754807001473953,35.197118910952454,34.262234693066745,28.566518364953577,31.512226383918225,33.29625035521911,30.274258466308687,28.127184289840145,33.95455776490781,33.09283075399607,27.71494252325902,29.48624620613426,34.37640122087871,32.706223369788844,28.74945244226327,24.320421803004,28.37537691342885,24.49089291849708,25.86733171096904,20.56131136985933,20.1403882306148,16.23246004822329,15.697413777233152,16.447734097955728,19.337932062897625,19.143838929831603,20.735820576705354,16.297629722608956,19.124287344901035,14.716501392408837,15.491140230711693,19.92074957409364,22.47639392492485,21.95551067746862,17.135899038997763,18.8289882686573,21.175279291655006,16.94986252920755,14.754997438022611,19.623533487446196,21.88628491873838,21.055358506756964,22.076711487727025,22.62235312495313],[13.976237640010906,12.248743027717747,12.765915146830757,7.085340499457025,11.333808139760693,11.481881072935893,12.989612131585996,17.21223708142784,16.239397187214717,17.368831134341935,20.250005171465535,23.01076726033244,22.466316167506392,20.508649763295374,25.65151067311339,27.049687363016126,25.10709690720877,29.303668757912728,31.078434122432387,33.42481445436673,36.3694702675758,39.63722983510622,40.34152853531582,39.072772979984926,36.34741889420895,32.61225583299745,30.913001615005204,27.475764421437038,28.895406502953726,28.851356718865933,32.43074666901954,31.855604886183887,35.5143144065512,38.97823313912003,36.55446696063507,34.48837544517,33.51743203148238,33.59090419750361,32.89113308781322,38.45471414919291,34.97182654807456,36.32840103881981,40.75158816920925,40.29023717692184,41.26654773729906,40.13959586379856,44.26358509047129,44.09252781108027,40.22443935032587,44.56698357342667,47.33565864919185,48.113617099424175,49.33203228850406,43.9142330702423,47.68228863316699,49.526385468612084,46.02542288860381,45.620608288754475,50.16635864724474,51.20233270671935,46.84714191755861,47.759166810767375,45.77699813101008,47.262387935875566,44.84889921213579,41.30723049425874,38.62103787923999,35.84052555729669,33.192827990444584,31.235812741823725,30.2990839482719,32.76424264001312,34.70742581097401,37.975087690802866,37.15974843991738,43.44058245721086,42.03432445115568,44.90848044390493,43.623898232951255,44.506920773603156,42.38999645442584,41.49667139205513,39.44549513571462,39.60621269928635,36.37435436047075,35.63906037911123,37.65181956167567,38.60982450552957,38.4150390595791,41.72445709048802,39.41643034817307,42.44068218565744,39.12307523252978,37.1430515139643,32.396165909925294,32.98519947214954,28.606125455988128,31.11748408386718,28.556580476469808,30.2450260087814,31.57342970477675,30.523280831803188,32.1144211933439,30.074312851448262,32.49349058814677,27.798961558473067,30.36707043135048,29.214109396334763,25.140527704123798,25.406319127895536,20.640081354602085,20.949695203966403,17.802127461566513,18.03428336357521,18.89121483795398,18.58574830740458,22.222663194415706,22.862940697719022,27.349224030460086,25.950263171634315,22.927809217056257,20.055528536182138,17.09846994915878,15.031975069163813,13.162213048288544,14.906286704280525,14.707788670545261,18.34540315905535,21.038941537733873,25.86667509215603,24.938065672867626,29.28318192973285,30.2563691151013,31.25180767377173,27.232585547868005,23.739942629269816,20.718800050296544,19.914662615726744,19.014213013979866,21.921008782264913,23.827680544747427,28.450756288868533,27.392386267437946,25.08499766560827,28.223254620971097,26.974868293606562,23.851391507941035,23.36946263471716,22.992182355405944,20.508731441436804,22.106058547094076,22.0382885701374,26.597139142975976,26.509482389897983,27.375029740380263,27.794403968267055,25.644373408568228,26.111605813384546,26.654739964222916,26.026098301798367,25.511044908518425,28.47953536834493,26.633239838976912,31.14172664483931,31.088663250403975,29.033373441587162,31.004983941146104,32.94672408625955,30.068485355748734,26.831024902351878,26.744163639211415,25.334534919739525,28.616855628880575,30.291892151088277,31.392097517494758,32.30038173638094,31.11772475156547,36.08654656435788,35.70277030692334,36.25108472459535,35.335430386981585,30.778334550566488,34.732568333976516,36.99860663401759,34.3814504059082,37.542060219485315,36.552805326285636,40.931411955306764,38.77727236138845,39.75266801574577,40.27175055473025,37.618170805998865,36.21734386754107,33.53756074818821,33.44963777021613,32.97989076179181,28.178664442573968,29.422955961070507,26.602653581753398,25.510586487448002,28.095899120762756,26.897216579993955,23.0039038791611,23.549336013611203,26.333326534140753,22.42648489364282,18.782127623935008,23.143870075046852,25.216752933702747,19.13433392091208,20.01066438888796,23.322204573677936,20.814177706290096,17.470011163025998,21.482481256800966,20.98035531470678,26.355319614194574,25.884537172922503,26.19946074561954,29.4534616726168,33.916061179878824,37.36424696792455,39.10319867745946,39.78560855548075,38.07941691631924,40.44060909593907,38.052374396929814,41.87672498916816,40.60514258196686,34.64407489106933,37.29823893404139,40.506689198391285,36.36282962166295,34.17176542468691,37.39752360371195,37.30044044152375,33.021215045001476,32.09515347286972,29.118744215610434,31.517476527821177,34.563355799426255,33.833603084881254,35.909616063734745,38.45013654535223,35.827446981258454,32.10482219633112,33.91591555015462,34.3555412819783,29.681964332659778,28.59406833651006,30.725686867442906,28.765633341295676,25.66916820100507,30.225012499989848,30.577349530688778,26.21098746506274,27.574183455550642,31.507342930624834,30.379384131598034,33.17125366036103,32.1849551104444,35.70024524088591,34.21383518335895,28.714651367725864,32.20599873784258,33.629191362851735,30.393764438967693,28.906140833998162,34.72681877712174,33.36546139695309,28.157058210650476,30.577190802534542,35.1645267283979,33.09069881871769,29.21402994005843,24.55767607589397,28.406711105649975,24.198544603838332,25.049954834184966,19.7737420437326,19.779637616556663,15.575645868906214,14.89623739882802,16.53398820627208,19.673184514839278,20.218910073464404,21.833135632637532,18.03558777707963,21.36416524839317,17.30663205460492,16.97093733725133,21.556171370052986,23.53256006183294,23.136736215679694,18.418703774225786,19.12361557040805,21.246322660797176,17.57134686712051,14.455626911128537,18.75106396079026,21.05840958900201,20.473790240103938,21.655841393417994,22.58078009526847],[15.420595058863748,13.784091196063978,14.6065485601641,9.324695563917638,13.695834293135826,14.873146045264507,16.531096036460536,20.833851959682733,19.921830633130096,20.842941158897144,23.701366275559355,26.61546633318679,25.870749603937416,23.70015459000983,28.889721482066484,30.338697536035298,28.107782182754708,32.14074869328197,33.477270210333586,35.95542401778664,38.64499839115941,41.87440179089095,42.32228991170689,40.799530751103205,38.2893864140234,34.64771647555309,33.18960525507537,30.001584456502492,31.771338192769708,32.03191778770413,35.60398984502604,35.257904886060125,38.96762269423431,42.29717474165688,39.81157448586648,37.54349822523859,36.711323158066826,36.39165798925952,35.47345618724474,40.948288662406156,37.14281648919111,38.64466538159736,43.04295507963234,42.45250114313443,43.12664556612797,41.875939525181984,45.94182680071426,46.08340714909553,42.285472766654514,46.434714286581126,49.452480021017706,50.34848527677049,51.706852315523285,46.386648630768036,50.280807901525804,51.99723213292101,48.46801679055085,48.29722514283886,52.85483814533425,53.64778791256998,49.29804719242468,50.36731218979772,48.543911395404514,49.752891341893665,47.256433969968484,43.89010088317592,41.05105088394667,38.52504844696907,35.648792152019354,33.93940355128305,32.75170852263295,35.06833470951147,37.3201210284799,40.477207577875404,39.980546694528385,46.28467856491553,44.88293169508575,47.94142958039771,46.622252634990886,47.3821738061418,45.41182575013974,44.34963063249998,42.48355373394901,42.37826146552545,39.029615854559324,38.549630329738186,40.474262914555446,41.722964592837236,41.35965500925349,44.90588467510436,42.50487300062628,45.49984398932526,42.26808943745391,40.44009692879856,35.708744082505525,36.28596928375104,31.909427375707242,34.626743203148145,32.15619737135178,33.937670732354896,35.16235561683193,34.10508503372264,35.54577912964695,33.42511529274924,35.517550654253924,30.778001064318264,33.18015297644094,31.693367085675042,27.595439097175696,28.262730511492048,23.56837602036004,23.953717215790277,21.108037375910953,20.9871529887195,21.936119848821946,21.169116086645012,24.733951133086588,24.80445185147489,29.371718284769997,28.45796221407391,25.28641132652516,22.701436313314733,19.35346939329249,17.706758468298155,16.31017395679868,17.566006130842975,17.645825095227487,20.97447129838485,23.473873543612417,28.35123898496379,26.81860760526492,31.239249702925907,32.07846086349797,33.54331520795842,29.198307345848985,25.941963846195947,22.382116979977017,21.624437376500836,20.55397734235934,23.867746116663877,25.154345142487596,29.874043861891558,29.270685447366525,27.180871679918944,30.49668824084851,29.66664682567826,26.52446162828616,26.434214122225,26.181234560247127,23.9647761299307,25.584258429545237,25.699537629039806,30.203682758326163,30.10837410726473,31.06435905204502,31.474448341023738,29.277640828434542,29.648477690828187,30.099389773309518,29.23874927517528,28.337218142036185,31.335268489853362,28.979910700505204,33.60430503846617,33.170892190467754,30.54285848828827,32.5489522918719,34.062942389937035,31.076027552744808,27.955132927128965,28.221708280004762,27.15711370740593,30.831169602563065,32.81225094373009,34.19212333399233,35.34018694968505,34.31276535698791,39.30268813397063,38.64189779036662,39.168224274212506,37.89583860345913,33.473932113875335,37.08109912639347,39.11597885350275,36.45760545323128,39.683595027899365,38.76504314446661,42.93078745606895,40.38999293702928,41.39356451227391,41.68005500845152,39.2713492542511,37.67593823966269,35.022785987635025,34.88920692436921,34.216207775972855,29.43347618407047,30.830154136033126,27.886567720439427,27.351357093133206,29.669992015236758,28.93176546097126,25.066427621144147,24.940686564372456,27.87980425010105,24.311403263684586,19.98706036074481,24.19925037349443,26.797856040093816,20.631674029145817,20.88753649492441,24.273881103040736,22.233614090897056,18.338242063831043,21.770652467585084,21.08164001503549,26.659763933734677,25.53262710127873,26.461276978238956,29.849550774581807,34.27414298030645,37.697998629022706,39.50665739339949,40.63282586257053,39.09509480624311,41.68569265842045,39.60468796962226,43.217799893076695,41.59643479213983,35.771131731015515,38.64203209623319,41.449038225171726,37.09492825805288,35.17874459026893,38.44292672692811,37.79111599097219,33.45610190878714,32.989036238921486,30.158155587287215,33.186165565024965,36.22055108578133,35.57504768583636,37.99399944615727,40.58814463666073,38.265263491810565,34.30435781108141,35.99211671464153,36.79524087971259,32.20324508385697,30.713884336148684,32.95418044984446,31.165271906778365,27.769576458036504,32.05443887075193,32.55425497352045,28.185096335165305,29.06204961865786,32.913503269843,31.62863784670415,34.58655135209471,33.81991306457829,37.09005153368969,35.262688343072625,29.850079455579294,33.402517191192935,34.378813894382105,31.003143287440786,29.689690955927617,35.30021934119319,33.45642139296218,28.294767540895663,30.92724797673815,35.21174835611172,32.7235199629732,28.83350389374196,24.13707796019112,27.424561862348195,22.954939179405365,24.100178236764975,18.965287393677606,19.82937433394625,16.09598276876424,14.358941927897966,16.26955865152843,19.01694697493932,20.135828736724374,22.378800572416853,19.29265237282423,23.022685805441927,19.43374702872513,19.22992905758011,24.21610366952615,26.083503427775206,26.15766706226269,21.330558066052955,21.575919481610505,24.014013287017402,20.815502173909874,17.15138821352862,21.07039678352037,23.729756495846143,23.449293066946687,24.812156032905307,25.861882286153115],[16.719507985250154,16.075538571590847,18.153606449249708,13.47160980768537,18.4314047139838,18.625436505518174,20.45154339434696,24.449597876088426,22.91083851030318,23.97019230597453,26.34774630678225,29.35685207016246,29.18395897851987,26.50236904397177,31.571935975612156,33.424574954417395,31.444052515945366,35.31610024024376,36.556087991507624,39.43491984350274,41.96015238749283,45.433201581596414,45.66753525068937,44.18263539785265,41.917990496110974,38.102682169083806,36.98203858293542,33.74017244427516,35.38561022355011,35.661442225197455,38.56766405003396,38.60851152952087,42.039079839647144,45.40987998421114,43.25720402992863,41.05136348762729,40.529262009708795,40.33845416366493,39.625375961724885,45.31606908556268,41.37332358291846,42.53333676271236,46.98921382679599,46.584727821093225,47.24120208590875,46.19659130019434,50.20951929201202,50.309646738911056,46.7300557964221,50.978262181429095,53.89989457239499,54.901801478456534,56.11444222215576,50.78556696307491,54.615519880002765,56.23008234475375,52.5606206534634,52.34360583338567,56.87113190266849,57.638754028900344,53.10289056680609,53.909203665359854,51.94517092877124,52.973058856360375,50.7150111705835,47.40450710758494,44.12207197361785,41.569851783283475,38.30858529213324,36.41294981627095,35.00407601161915,36.88346537657395,39.463349129135366,42.89520028376666,42.68993125500662,48.99382760718251,48.06010660244475,51.102548387229334,50.10602076594686,51.13885961005676,49.3606772990904,48.575922949701244,46.79008162507519,46.92899018422049,43.525769130797784,42.810896547014046,44.48260346910766,45.627527323907856,44.94561511753213,48.243445859462696,45.55504593978522,48.189559502964116,44.8560690101438,43.060648142833166,38.35805200096497,38.49203997295971,34.150314528651684,37.390271381025364,35.058302799769734,36.83061944490438,38.57742548245224,37.827515415459104,39.53492538096237,37.657149793912396,40.12813096199295,35.41394055758013,37.84749328666978,36.52695318064404,32.36089294523518,32.84575118700445,28.114932198047306,28.577340595277963,25.400691138539383,25.446260365618635,25.83464723261382,25.159407529438752,28.441715495046804,28.47644547900132,32.541555980679576,31.61097344109734,28.25553171437993,25.803388995438386,22.79276046890861,21.501776472506556,20.304039075140345,22.230109334581286,22.26521142946579,25.822944381473217,28.381247791160337,33.262132271954,31.8259498352169,36.213732147705784,37.11996158509876,38.52259705955256,34.22189849904619,30.895694904200482,27.430367329227632,26.496023542271814,25.159034527996187,28.44198815280219,29.318322830709278,33.90044262034775,33.22000187672893,31.37668280397267,34.74391303844094,33.77300189416827,30.730492944735577,30.585164613135646,30.48597168337399,27.940235805477908,29.590220014887834,29.077184876698894,33.58557569059857,32.73856426914029,33.77963252838177,34.72130787509108,32.72824082336671,33.51730557190844,34.00185441883618,33.637093241884266,32.95000705822173,35.69396539074242,33.520620741877444,38.12825477163699,37.905218843692396,35.222832060763245,37.425545937451595,38.84380268679809,35.9336662611496,32.76123063730508,33.15735852518324,31.997898877330666,35.67444729003666,37.576947750088735,38.79743060859068,39.85485321882737,38.53004363345994,43.603422888268916,43.14324472056676,43.790208563366726,42.67382111284924,38.283991157385486,42.034297017263206,44.10903967706908,41.41347451611589,44.49679973505309,43.38685415827188,47.63670176636097,45.01236116374524,46.21368553976755,46.54677181040907,44.20592331686319,42.665486189941184,40.04753427624141,39.918476910735755,39.19158449307001,34.407476473021056,35.73100352046633,32.63569310884919,32.09709065360341,34.12910459793499,33.28467878924832,29.553606664060712,29.2309516460828,31.864340062333767,28.21600135404365,23.982066499800673,27.800694808719772,30.102349598655067,23.849166318330223,23.824017678082587,26.83282740532231,24.64431896806446,20.58320987498629,23.617148905922328,23.43354963584109,28.71417408387696,28.07858667333631,29.436452224679552,32.56628053918276,37.24523934578277,40.269276750443446,42.53171707049406,43.93289839464532,42.73981513131852,45.53531731698211,43.70621783703513,47.409461684599584,45.57126292975392,39.926706474678525,43.02401230717228,45.751057664715255,41.3189062686013,39.6404122203323,43.048364007411706,42.151527019334814,37.76670338352272,37.71024428170536,34.70812029900824,37.92817474212133,40.830773832994886,39.909296004314,42.3433295865218,44.650418750407866,42.46199790431197,38.59427382869906,39.84452678714396,40.56678149277885,36.14190824851073,34.468650475984674,36.28318571267137,34.34124605122104,30.98957163685753,35.063617285414935,35.20371218562245,30.624659024821522,31.57674635720323,35.39221302066001,34.419655800872334,37.71139442779782,37.3748218021551,40.67971634667678,38.43562817964774,33.28876785571648,37.19496061200692,37.87140474722175,34.37849065859204,33.5869346902919,39.08308864274607,36.8283643576806,31.900823855413964,34.94466524780421,38.90645496308608,36.07070372498648,32.30612128521983,27.573459052283695,30.404879289978542,25.734420938503153,26.528189914661898,21.720873919887552,23.107620729657768,19.416142948117372,17.511223819973445,19.989719000026092,22.636551509489152,24.2860190695208,26.59838032691349,23.93256363445526,27.796804111740073,24.287206354803246,23.6358090103238,28.47902059341044,30.007414958373165,29.922241615659225,25.33433406434849,25.113941728872085,27.13166523809688,24.179106174013157,20.331185683222987,23.64792906085463,25.998937953754126,25.74193884104718,27.00768262825915,28.20308068818431],[15.753169442127295,14.39194556501476,15.841282798488221,12.035967695667818,16.75815097347066,18.66177825741251,21.03845783936793,25.260003850304333,24.823418344632056,26.152054468854598,29.043107776264208,31.740083438406305,31.182463110204093,29.20101930524552,34.378338910205734,35.764330098595096,33.54291815717486,37.60163598418443,38.84000444185194,41.23164342073484,43.86103933969057,46.95631441018055,47.33672417625528,45.617340908386424,43.16896587299299,39.69475077867266,38.22151482525072,35.188749094945436,37.08717780739874,37.31355536203062,41.08665852391991,40.53344739043442,44.272141905523945,47.688878920513325,45.12849948292703,42.88870182810528,41.863454714887965,41.4970858792147,40.38711416966424,45.60455868783819,41.788787304244615,43.60935862544742,47.92805731082759,47.111763212302634,47.57494361667708,46.04985598079425,50.054525781501155,50.49903203056894,46.58881347697167,50.41556582157207,53.703879231384725,54.53150606320722,56.143980030776085,50.91065754266953,54.92063119103058,56.698352413286216,53.276782632208636,53.23301798017042,57.815339984295015,58.531155165387645,54.32996837954298,55.60031078041108,53.884144397029914,55.06365973920906,52.44948938482529,49.14222132056599,46.40743422322742,43.9769165118793,41.108316465602954,39.48135457262973,38.247867833444765,40.50927143095594,42.84930280538309,45.964753997882944,45.51228750032392,51.81063289758356,50.31840044770519,53.38865339544147,51.96069688690578,52.579434552700135,50.49292793200123,49.20684562308523,47.22004701811195,46.84763067919904,43.591966839342454,43.39158886226044,45.52691891244793,46.82828501962205,46.66434283336064,50.28114903407528,47.9802668282702,51.03145305582077,47.79119896266409,45.90448183643759,41.163369055908774,41.7135439703162,37.332538881979566,39.910011428246804,37.286966215825366,38.68512462708369,40.13046990976409,38.604935992699644,40.2658933470564,37.65986981029458,39.444223697917565,34.522831720108314,36.39053898074052,34.563260151488464,30.311353466238227,31.453969522937093,26.950723777305214,28.00471981423649,25.639426478824745,25.701179053570364,27.152364642269603,26.31099115271373,29.967381564577963,29.787796897625494,34.54774506415941,33.862196669614974,30.697569033287607,28.180351310268502,24.657936657544745,23.009631598525193,21.48820731319395,22.08340651958123,21.46456412205104,24.724973825588922,26.71150414359085,31.68091834583032,29.365778374925263,33.63890772116218,34.73063457415512,36.69260424629072,32.342421669178364,29.58492609694155,25.380977009520716,25.332476013055967,24.584251317813504,28.164700798872317,29.336421279910123,34.177204357029794,34.004664015463355,31.905367894406247,35.24041732644803,34.68001941391514,31.48003962223339,31.42116656491801,30.891247124900097,28.749049740727735,29.874928862849906,30.122350861481564,34.27030435869007,34.00786805617022,35.48192364704704,36.015270336981246,34.08680317346391,34.13687283162804,34.95920310723389,33.6160512192792,32.7628688902234,36.1166108513916,33.47692874490411,38.120461947462644,37.1932846492742,34.209740599117964,35.83387980047879,36.97066591269065,33.655362942843226,30.954504264281695,31.345307144310038,30.891576494467657,34.74551723544152,36.952168892901916,38.59946702214758,39.73625428587061,39.09392076722879,43.88346199638088,43.15135358522955,43.4123741461677,41.95778045425694,37.35139056468332,40.55660063717519,42.41645498826414,39.937260500282875,43.55544961433611,42.997497221970484,46.87334378382691,44.14566544144656,44.83939473722917,44.73143558135628,42.46487297496928,40.42277787321409,37.629402784652115,37.17051243099007,35.97880178860312,31.243557882282392,32.39991796625374,29.037322477779437,29.100499942830538,30.62289773596562,30.37426244587631,26.79148443953405,25.60279279036586,28.364035458209706,25.284705046388044,20.33778938791277,23.907603978390597,26.937300174327405,20.847175445776205,20.149700301642984,23.35614047383348,22.030499794013004,17.534682481622184,19.886318563189583,19.137860855861277,24.66752716582078,23.046318804083935,24.81801119562608,28.13992436301326,32.58084087559552,35.74635636431263,37.833624248787736,39.589298063403476,38.49198819795334,41.473566918322135,39.99854840112424,43.41142036218062,41.218000711433476,35.78162464176715,39.10192983132533,41.38999156173455,36.80643260721079,35.468458791707604,38.96592647421069,37.5458938382336,33.144723317921624,33.72627706801118,30.692373590524014,34.610067247101355,37.36928484650533,36.4881124090496,39.36074212291261,41.74491623767027,40.03654644736685,35.83387810358826,36.960814083453336,38.278635195770896,33.9958327544049,31.773224153401593,33.93148801699056,32.403491722188335,28.61215739328327,32.31096666155243,32.93273866028624,28.62795179866324,28.74015770170507,32.37211363409945,30.984294566214135,34.24523219681481,34.008209918674545,36.9238071542945,34.45581831453275,29.399019881659225,33.19810827031134,33.43574948538811,29.884766505482634,29.19640896758303,34.40992089898957,31.80746705242528,26.97708444243985,30.175263821690777,33.82296801776912,30.742084585894645,27.02960459165139,22.349952013768146,24.846425711914183,20.126877616224302,21.075315284950786,16.423983610261054,18.398440554846623,15.418509131576634,12.628540665080367,15.184433713209593,17.482922228375774,19.593312040633958,22.22560041494877,20.493807203789874,24.727097772896286,22.05917465891526,21.348693896448157,26.66157945139409,28.02950089830062,28.873433506800936,24.094827593289317,23.290051261085054,26.045988220529235,23.94070543925922,19.355213993479182,22.353167988698292,25.516777648444233,25.8579912159085,27.60264081876382,28.95470042568442],[19.326234593545994,18.485722523814612,20.381169197006425,16.67733754045688,21.39158459308347,23.11427056506138,25.356759867987034,29.55825567008294,28.713537904862612,29.82728285624946,32.50393560760716,35.42936837369189,34.910036565660924,32.49824368021048,37.662834701581424,39.28268810775493,36.957237599076876,40.80960915833522,41.69335347794215,44.388520992146226,46.745186011941186,49.95172528812569,50.032171735744846,48.181437795348415,46.029172330024245,42.52272313761982,41.41120776108404,38.51003543342031,40.56880573841151,41.0422095643094,44.449129622184756,44.312148570435156,47.963198066235826,51.26709142985725,48.83010823093646,46.44824642017003,45.73580560481892,45.13652805192055,44.01414246314724,49.33039358917306,45.203970658712166,46.87272054835725,51.2073563463088,50.442537337650045,50.70525687991972,49.26860421879123,53.195425378864066,53.791373862428685,50.099082966860365,53.8918846297737,57.24932673982241,58.24859869523253,59.82842684106793,54.661078135994124,58.71453264309435,60.30768832158533,56.76248620821497,56.86090633603985,61.4277300368467,61.93955371881289,57.617354759818916,58.83477735334005,57.154891099254115,58.02378787107192,55.49099694041431,52.34625203012296,49.253709216046865,46.99591439788769,43.7777786544628,42.24501558401486,40.73781316660643,42.6900895926331,45.38589788077988,48.53415170388669,48.46137896115774,54.771512943581556,53.52704630529825,56.737881373035414,55.46485294943343,56.153298357579224,54.31559628896609,53.09233378886134,51.335237376142665,50.94958907014362,47.545859898067825,47.34850984585706,49.2250084933889,50.696025699344474,50.18393116625133,53.85715270157923,51.3169211765842,54.161275470442575,50.949686509859156,49.21891065402327,44.50353093125567,44.85851186189472,40.49658443042128,43.50573733386714,41.05662575284293,42.6569369693097,44.18356890418229,42.94857973213535,44.543431042520616,42.15139688087267,43.967304428542356,39.09389900654659,41.03264339520519,39.151185001127374,34.937803888205345,36.119035919030345,31.600379960989326,32.48847935517636,29.991836963931192,29.833097902309152,30.916508621295257,29.842033556261434,33.27489516804088,32.75225608326473,37.23762412269426,36.845019825412564,33.51020238442221,31.246634302878174,27.695973996543465,26.475936054670665,25.35776735583034,26.20975100959901,26.016088487210375,29.18139939016168,31.23145308499577,36.16637562983698,33.73616493652609,38.046945758865064,38.96167114180524,41.08758145653715,36.53924209041696,33.78528909554873,29.515908349522594,29.176336955543587,28.087373565098503,31.78912538535777,32.32394683443465,37.06276687194834,37.081371393609714,35.28451791411237,38.74733650591332,38.35114261236943,35.211431677364345,35.39382169219233,35.11741056142236,32.977739229633954,34.319188138527394,34.368769178859985,38.6236371524445,38.08136531386265,39.47850634407002,40.19778028227679,38.22245533186016,38.50333955829371,39.14430692142483,38.02462007401731,36.970442018667825,40.10160641968707,37.268197985186106,41.96471393146824,41.00414672303537,37.67839533364235,39.529357792729506,40.36379346538513,37.15171149567822,34.43737073393713,35.13056797067761,34.703690322348955,38.76558111503495,41.08625088071114,42.78078982900455,44.06417655941753,43.27135319901196,48.189467169094215,47.35349290464048,47.743397623194504,46.13892662038266,41.73217365530272,44.851212992172556,46.586306914195276,44.010646686342234,47.463616376445124,46.75903780770713,50.57104619335634,47.55623997675841,48.462888924140344,48.29961848426631,46.25767343175433,44.23178290878184,41.553410486029975,41.169678115035154,39.9618865896846,35.30949275628671,36.61834420144035,33.28581949029325,33.59825635345741,35.00810266067584,34.926123361438606,31.39180209736562,29.97295942716641,32.701856305073626,29.768737769093516,24.71421768786688,28.033690990677535,31.12532423218971,25.107095734801444,24.110203048087644,27.09803946317044,25.931432699640993,21.330380140320717,23.130109104735947,22.529287353855928,27.814358468811573,26.0082038061279,28.29011889060335,31.50146540818889,35.89870639547721,38.82493985694518,41.096142980312656,43.20857619312932,42.3295632161397,45.46050461413383,44.22149610282788,47.50736780877498,45.0861765035896,39.83383227176393,43.2670435272024,45.27522858764851,40.60200809783243,39.48063876718241,42.951019475924525,41.153869524266455,36.78947321174361,37.65512542806385,34.79831771505523,38.987065599348306,41.72574383822219,40.87228823798065,43.86434818965195,46.200201071778096,44.62622301493155,40.389694681448354,41.37504846683609,42.77612554803875,38.57728656312407,36.21787542157547,38.25844730536542,36.73267370397064,32.91384735821094,36.40757272304466,36.93165810996536,32.58774796009586,32.563556307786435,36.086167784088694,34.775384753167685,38.18658576751733,38.19322915677684,40.9692255374677,38.22551792910969,33.38993742619398,37.2517095588483,37.151147253383535,33.55475278739308,33.11814877440609,38.067299273004764,35.07757854062881,30.472134217994913,33.80628649312928,37.08497777536109,33.66361630465561,30.07851317887815,25.55127485144812,27.304201164557675,22.51386565272476,23.58829802857112,19.495291542201606,22.117389052877765,19.571177344898143,16.383535091334807,19.00438098729398,20.800974082656435,23.281487164879437,26.242200292081527,24.917573481315667,29.203502124693507,26.646540222536327,26.023179662587363,31.34516377517122,32.64053491342663,33.47427744864304,28.745250167377822,27.813173516363193,30.4437114760736,28.390244502693115,23.788724588363355,26.517406268377737,29.555500212963384,29.90425944745461,31.57106433437701,32.955795158041646],[16.40552844996272,16.24765728045224,19.091611865873954,16.316869419098552,21.660474970988723,22.50714639515455,25.31068033723639,29.1682484806262,28.445039252832153,30.247317947803257,32.77339533023358,35.30996907425928,35.49152408488746,33.31952745045814,38.373488242090644,40.03800312732348,38.21764794399118,42.29279274023324,43.704320907746286,46.31646377214823,48.96721871106359,52.24945933524763,52.59005140739413,50.96519361070311,48.59326960359813,44.96317398388295,43.592114319970065,40.39930784684044,42.042747270998746,42.05335345708007,45.38537921680235,44.87794852977985,48.353415073904316,51.96962335192476,49.702060857475544,47.67574621708168,46.70361358218395,46.706637592487624,45.81080846499985,51.17371610593878,47.43398250355795,49.044685069550354,53.424783728234935,52.74339718790395,53.29076865627873,51.86417803867392,55.87531092229957,56.23407871584428,52.359265110547625,56.262256844783934,59.469112783064524,60.265853863248886,61.80076021381503,56.50403596314844,60.441056213980055,62.2670872754461,58.79669515662525,58.606426787143036,63.178924466231784,64.01501661699136,59.70316215118838,60.73911253699143,58.83547084305039,60.04793809149842,57.62769602040168,54.258148943745454,51.28423576145785,48.69174420305525,45.64310436284052,43.71979685654276,42.43993016353536,44.409166138367446,46.87324514316138,50.30023297786818,49.8907555947106,56.190947792698154,55.05221783897985,57.98224506404354,56.80103178085424,57.67493093949414,55.568204875242905,54.51871310561052,52.380098729804956,52.26246764021263,49.08771739287125,48.65547270861963,50.76577019818397,51.79468345150727,51.59437028558568,54.86559966673812,52.435099520526585,55.22761274008197,51.81799512725136,49.80391784534128,45.065912709300996,45.214136389755154,40.86216131944737,43.65808183033453,40.995749183719035,42.05726171215084,44.199386453959306,42.65405463277202,44.81233313470288,42.177394849146765,44.365509882226654,39.37057984880112,41.07006352260291,39.44232002875583,35.047730876898385,36.00576902753949,31.530640629240118,32.97967868783852,30.3838075629731,30.892411462904185,32.09440608697239,31.549178577152528,35.123467004091,35.14093053398038,39.601214213149824,38.69478640838974,35.442774848205836,32.858153441737606,29.68512630116679,28.051262358294103,26.356645846118276,27.465115945853686,26.325119004937832,29.958406289675136,31.8762509605523,36.89348993144418,34.65654151214406,38.7697134503513,40.176485683461046,42.02601426243609,37.9287416713032,35.18147134352812,31.028850902083743,31.151566559453386,30.41799608843122,33.91530595110625,35.10022263431611,39.8920984915383,39.568903475305,37.501811772166235,40.81760451112699,39.993531002424334,36.82519426464226,36.482300443578346,35.847208683891054,33.280310371703905,34.12823287040093,33.77196089777356,37.712244870565236,36.6425281906223,38.48182208575589,39.588703567188944,38.05688667294957,38.347523007555615,39.494239303928445,38.46260875930386,38.085692271002316,41.42223285379801,39.10656471643822,43.714818741278336,42.967808025028454,40.11166156214472,41.69929926171724,42.866788416082834,39.492944939784515,36.8575901636747,37.18106611820489,36.711303174131274,40.43566697255095,42.496457026361966,43.96603109442204,44.84637080737259,44.05202267407737,48.79481153525908,48.40596862677111,48.634735800327114,47.4732933101991,42.660145007557134,46.03085069551767,48.0065868325463,45.61854823787208,49.30705927903878,48.736920946144046,52.69582423909963,50.046248806767345,50.71731155406085,50.59746744531995,48.27681553949104,46.16552737708909,43.28825774595608,42.68374398717457,41.29380015091578,36.562414868841955,37.393827388005626,33.743789780316035,33.71602166515834,34.678594766710034,34.25707421920512,30.979430851776502,29.49494474732395,31.672827057956628,28.576934674721763,23.9602520926875,26.786316373307038,29.281368446239835,23.317238765470144,22.236232111030297,24.753525685174488,23.376606153741964,18.86558213360442,20.459792160193945,20.488939610880372,25.29199608050227,24.597794511680693,26.809301679489085,29.597785293382902,34.32095611152556,36.81436718002443,39.54419279233369,41.62945480945237,41.077209563442466,44.327170655660844,43.27787203937246,46.81560777284734,44.323786539275495,39.259831768028675,42.90697629142106,45.10679095126512,40.50218271655649,39.55651284712413,43.304476082785605,41.62711233211865,37.21065495688424,38.4624643027366,35.02658508367304,39.144938561098705,41.60061643087594,40.216374605328575,43.10214106834385,44.99357415611477,43.5995289270862,39.543625900824196,39.93825426294523,41.21639885939363,37.27375695144017,34.712572707024854,36.26174276061128,34.628772563097364,30.890833596969394,34.1430840238221,34.33297026472687,29.897091815458094,29.951449962393596,33.41663591876228,32.457561614121715,36.12188344896514,36.53302789439684,39.43133157411731,36.383947414542,31.846842808185915,36.10242666645232,35.90965690735141,32.279561557756054,32.43170838964924,37.39335385172701,34.29916091292556,29.97903634889739,33.750548626956494,36.8751618932055,33.44355535809345,30.06626635898436,25.482924270668928,27.45676691929429,22.742423686210145,22.80033379862799,18.890439254116327,21.23463252307218,18.416821658089912,15.946289482879248,19.09151016693819,21.322124399479314,23.961173465157284,26.308840074343763,25.177581747917323,29.491037192761553,27.045083457585374,25.56281961825951,30.619913974632134,31.417061633838944,32.24884198660576,27.834220554444673,26.266711292195225,28.543037727404375,27.06826634464282,22.170427127108137,24.179988055806817,27.072927790329725,27.65399733338926,29.418482570779645,31.026777438207784],[18.42406532176073,18.59998496307743,21.60785755654822,17.91907035405288,23.301020132816753,23.25174594990364,25.533466521395667,29.296606990569526,27.733089370182846,29.16366512476401,31.295978631356753,34.142062578185346,34.465662494181984,31.705089846474017,36.65179336891113,38.67004140418664,36.91907101651465,40.7578046944643,42.00244627744578,45.01804002790053,47.4816110162252,51.0307010717083,51.165710823976774,49.654531682777574,47.510583135147925,43.6661764997373,42.6591955714999,39.40878360637406,40.97241950823986,41.1495027607763,43.79378331208178,43.862413993754146,47.11808937608881,50.60526219285899,48.63228819704055,46.54441222483172,46.04210235602514,46.01223612548305,45.356058317281835,51.05838389928218,47.10529107408972,48.22633212684761,52.68957600437788,52.3001565072904,52.9026057853188,51.839202552830635,55.825431356869956,55.999558311346426,52.4381845847906,56.623390633723744,59.599881214888484,60.59265261569742,61.83543754623584,56.50531607458835,60.33789569171944,61.96759628676457,58.28201631049294,58.04386235677778,62.56700012752949,63.3446919171046,58.77113713243461,59.48804735843335,57.45540953370645,58.43432064828225,56.27607021051772,52.983760058642,49.53810409269688,46.96109960914893,43.55149516642571,41.53352348546606,40.044732050163184,41.65665584408139,44.38811308416879,47.98228766524377,47.88765981722647,54.16546049825078,53.46816300986903,56.44602753434229,55.595895061925745,56.74760409449162,54.96652777641383,54.260062306429695,52.38657987050935,52.58368891053343,49.23133498609725,48.47670452492952,50.15953130536038,51.18925684230568,50.49260945782749,53.60774098997941,50.83845231580879,53.28464186143175,49.86349817797434,48.00863434945414,43.33421256533566,43.177829904014146,38.8886538101306,42.266667244794164,39.902921725974906,41.374660551339815,43.61362130998767,42.74852251681515,44.80180273875862,42.78230594665795,45.385447014546585,40.56828035067297,42.74924972239051,41.4144222041946,37.10981366874173,37.66128867025714,32.99409361869726,33.875760685916646,30.729453102201,31.047621280295004,31.449913419670704,30.878962566951447,34.11393237274249,34.12160859842277,38.02967636736535,37.10199384863674,33.69904199290867,31.288693403930754,28.423395245254135,27.188678631592406,25.8953661485847,27.844738968279337,27.40928177929343,31.132384407734484,33.49720112414756,38.45469715002024,36.772182122310966,41.0547212423496,42.191138453604275,43.727650421560945,39.51464846887177,36.34928100118803,32.6523852710594,32.02397206166919,30.772315612729916,34.13179718951037,34.8977377641602,39.47894337382815,38.894163024944525,37.108264178338494,40.487484733377656,39.48803796713439,36.454027931410955,36.19662917180908,35.97604675667365,33.22983046032817,34.582678320054036,33.75395094532658,38.02628031605687,36.6104154000284,38.014664458256455,39.36167486875343,37.687050767754336,38.537650509331755,39.302538595151624,38.97910759201053,38.53877352663702,41.36795689737755,39.24535539499331,43.853346025737444,43.5572922054794,40.767263168884625,42.858784534369036,44.12745170877902,41.079445460518336,38.07002801915745,38.514714699110755,37.5569589347217,41.266932874733605,43.18758177305414,44.409362228160916,45.34289145204723,44.03724842036811,49.03709324110544,48.73303371362985,49.29633404787757,48.26012250035572,43.71477401280422,47.42035958713537,49.48886827207452,46.879461977251104,50.11313851837373,49.091245500485385,53.28766756611717,50.59524623826061,51.718031301337675,51.90802649081833,49.61346605425068,47.88662736489933,45.18453847047528,44.88201056245029,43.87315010712997,39.09507547927558,40.19733298815022,36.80288460035786,36.44394184002652,37.91752774136883,37.15766950064023,33.67243060382826,32.81938179022625,35.09354619102882,31.603632881705337,27.31426206589742,30.524671470958943,32.68011662761204,26.535728389994,25.977001952509532,28.519232842645458,26.542860708606607,22.31271761729604,24.522525675017015,24.76528719030829,29.56626251897252,29.27298828072564,31.18629557081256,33.981939743651765,38.80776728417333,41.32626362908555,44.06847760654186,45.89905698953313,45.179108502979155,48.268549137047444,46.89672694179687,50.59561968979057,48.378590968681586,43.07673370500722,46.51700520821819,48.99855310625729,44.459507134473476,43.20106734955991,46.82463524363471,45.48679741620533,41.06590173988651,41.73923056038844,38.47240065771906,42.1364255549763,44.79473628061809,43.525738223429,46.13047601554002,48.091656604832146,46.28617943391107,42.4143051687218,43.06284262091632,43.93088057544219,39.803034008925394,37.69317041812536,39.12045912798071,37.19776281379609,33.758642452295575,37.36828590383847,37.274992659510055,32.645550830201536,33.322153252625085,36.94942606974776,36.21202367638521,39.84116328281957,40.0667401652349,43.236645868141544,40.4323278764663,35.71647948176197,39.960167480704825,40.125816851681904,36.529048234501204,36.417235559343645,41.625696258550526,38.811755177482745,34.28805882079542,37.8352676927528,41.2731016296169,38.012116472401786,34.49595031991654,29.83354362452261,32.04363206694593,27.29288924434591,27.593781267554593,23.401945370470663,25.397411027698226,22.077869807674656,19.939994854203956,22.908617540826967,25.327266714170623,27.60694874482978,29.961647256798997,28.07183499091106,32.177499634589736,29.083316217269118,27.882452084986596,32.723048476059034,33.77659079051019,33.93178222390897,29.560205806110737,28.575878970380504,30.4110909972152,28.175280408037292,23.87186719665594,26.300512791096562,28.61392840889534,28.686977065113364,30.05821222306437,31.494310611850935],[12.809521488203927,12.777903193424642,15.938370702758117,12.98969252748126,18.64859077435687,18.606007655263156,21.48123830666802,25.147376908485313,24.341724862765144,26.415942224005704,28.853854644422068,31.212675961089268,31.709902675494448,29.680344937900795,34.64532270554533,36.31246966308013,34.80331366819545,38.99729430166152,40.79547303913624,43.33207357259787,46.20310730078551,49.550367428890375,50.115412270190106,48.73364677672442,46.17314287024477,42.42648337220649,40.868572086465264,37.44690293204647,38.76240086623088,38.48978443465188,41.7354767326263,41.04852766109775,44.42047734115912,48.17187305678175,46.01405290902798,44.20017510718403,43.127816528829946,43.51983415804344,42.84529036688006,48.31128889245223,44.85499639339573,46.301801944072764,50.71696803139311,50.17982554278364,51.01375134496401,49.71827643478356,53.79596020626629,53.85256595454089,49.91878510458056,54.029038897156084,56.99517101780067,57.68858538549601,59.072795231652556,53.673125714759486,57.471228166360206,59.41672958831655,55.96461518559504,55.535898753332596,60.08927933094444,61.1681551582008,56.82878942847035,57.68128809223791,55.609365690028035,57.07194295166862,54.75922859646828,51.22591019675238,48.3496272323745,45.51402254745684,42.635203288966984,40.45713716239347,39.3808214500335,41.43635802852415,43.65341503847392,47.22303589179139,46.54211639356073,52.81257198384013,51.7261098871226,54.46673049422655,53.35856249281542,54.380930355886825,52.15163974376597,51.29589748527435,48.982892420614675,49.14350785294613,46.08134596140257,45.38807705239665,47.55779899739446,48.290935626648725,48.22488977322222,51.22730055384644,48.861550802554184,51.63341909774834,48.12925294020359,45.968387519532214,41.23231325459997,41.3214592817001,36.984516657474074,39.637352824915034,36.90300480515887,37.815568892122464,40.16890784324279,38.63546434170924,41.00133062759816,38.444461411242735,40.981548658723234,36.016273367098556,37.84345339899223,36.539478972013036,32.11708113243466,32.70211430597038,28.156110519877007,29.63114261320885,26.78666864005372,27.64394612089862,28.733971528644073,28.574659952509336,32.178937904932134,32.66209850841385,37.02637408621245,35.69367648963475,32.54322645398465,29.733873696169034,26.903435219937524,24.99297473982673,22.96829828441925,24.462842163028018,22.99434898501126,26.93899747966109,29.00425967786194,34.013151498509046,32.29349563845515,36.3715382123431,37.93598404493472,39.354868927925075,35.54403244652703,32.57249688026053,28.82480670684811,28.912563546991805,28.288848487632617,31.504913492000966,33.18073322447479,37.927157450002944,37.196290798581806,34.95536211376436,38.13398855663864,36.92999363221564,33.7894172792188,33.09839348103914,32.349932804733015,29.512085276949552,30.265607545509116,29.637266429732968,33.56338797286247,32.331974093615415,34.17540352540464,35.404353098620604,34.00016548885791,34.41326987130809,35.69421358484075,34.9131038436446,34.93007492958996,38.22660235803893,36.37788399085227,40.88830578729016,40.50049692526604,38.13590839174846,39.72639466708956,41.298813948407116,37.995649139493395,35.205086710595914,35.226419800981944,34.44325539142481,37.84461244405469,39.626942159292994,40.82896772096491,41.46708856747865,40.51226452132541,45.21848578370738,45.12460194325284,45.37593951207752,44.57174340205571,39.617231395576844,43.33007892598638,45.53834405671044,43.179529641226246,46.811357526933755,46.15799025983025,50.33595178184539,48.02790604729915,48.696785043375016,48.81065493132216,46.24017545397378,44.31476626978279,41.392674273545545,40.82914133407863,39.62090047686954,34.803810378351585,35.49162468256094,31.88322826020037,31.3132004860893,32.50298796990638,31.596548912759552,28.26948970765858,27.362094460508672,29.38852254111764,25.85466793283262,21.770269639480137,24.8220543990861,26.78094596637912,20.650512150452975,20.15550187985799,22.678620334852447,20.64345545257137,16.424768856907022,18.892426110318276,19.214977390239465,24.033405285453348,24.197659905612316,25.732354257904458,28.448300430971013,33.37962926318948,35.944620551198646,38.669666230151265,40.26835695359865,39.53648582717007,42.59138039893665,41.209972717342765,45.03486406137812,42.888164445186845,37.607383038012664,41.09299137468556,43.758401372148896,39.313797310026644,38.06415409187783,41.83604243438052,40.72644815229633,36.288472713022024,37.08404446931214,33.42252924431686,36.98372064253936,39.462659303489744,37.9347505497396,40.49886345480512,42.308015472052865,40.6157748189536,36.77569753919412,37.22443840982216,38.13059994600779,34.09759290434847,31.857311219565386,33.242113989492154,31.377643232662084,27.872322541980438,31.451980662688275,31.423164070280695,26.83295231370193,27.449910279076125,31.113966066108777,30.357431696011396,33.9634625086387,34.19347409516006,37.426232477894104,34.668287204622615,29.94404852070582,34.275139299041626,34.56642692261921,30.999605949504335,30.990912243895554,36.306035846120544,33.69566995005313,29.19184513100674,32.838432375399385,36.386779774724886,33.36354085234164,29.89347861758864,25.167163422678268,27.941215087915396,23.340627823633298,23.099422164195847,18.68100513196193,20.10858986443848,16.493512010685237,14.996340904652632,18.12952206952615,20.99109058223375,23.128317563254516,24.93600015673382,23.090354274796905,27.186569371362072,24.31723474550905,22.56304970664434,27.333350726325623,28.13967028076673,28.55557296982417,24.255596529045402,22.878446395281294,24.8330374356706,23.078849567278063,18.3905774016758,20.602675269476578,23.214957624850474,23.58380552871884,25.244353591897056,26.846463648529273],[10.93304336772857,10.647923680050337,13.553973888267137,9.876296892951453,15.573239233072107,14.629528924342699,17.314452686540886,20.8934903235901,19.894293830416263,22.03209930091827,24.43149176806112,26.742722966698206,27.34543928857691,25.392346486136613,30.302481379461035,31.958879642185156,30.63648453019599,34.89341618481221,36.96695441282056,39.44050921855275,42.46519951757568,45.85998769212649,46.59434674037979,45.42179908416178,42.72380764236622,38.89040291575854,37.20645874353884,33.61670561082596,34.68298396122455,34.242222786573976,37.413597866492026,36.65617009984091,39.979489445821365,43.77459485914482,41.67941708072892,39.98111839476261,38.891847531388585,39.52313947342232,39.03554603599366,44.60720870753531,41.348423369565566,42.61141949422693,47.047941191715026,46.652532993147595,47.719990446170826,46.58350461295606,50.700635076986586,50.48495668766255,46.56041541357567,50.870555684413375,53.601389461943256,54.2519440994398,55.46953318698096,50.003563308768975,53.68090478628637,55.67587364579778,52.21449608980617,51.61651991784894,56.14404910587396,57.381216256492976,53.005622776727925,53.709490487422556,51.52181775620448,53.15037646795892,50.922080533213865,47.28080851368137,44.475334076609926,41.47472155252351,38.739311661158546,36.399902977572566,35.48930071728143,37.64855035735489,39.64744711107674,43.28208213219553,42.39890004501576,48.64279326514824,47.57542498229393,50.201098176032865,49.14429842077995,50.27452966391614,48.00448557546637,47.316138129107415,44.94651023867344,45.34216579388917,42.32654878324346,41.402461038722834,43.547937162835076,44.09725874150002,44.06686865684002,46.90441509868139,44.570087412461916,47.34101309407142,43.798241927278546,41.56996118506627,36.83535178590886,36.93938317409062,32.605557815340134,35.17585902965525,32.435648001631115,33.406538330123176,35.76044932036478,34.38257547560611,36.7681066066649,34.41998847510007,37.2414081086295,32.37288412883359,34.46931301801677,33.46738833094557,29.109848504222693,29.30893397805895,24.66073726771081,25.903747338469547,22.75750904278404,23.790514322910134,24.66824992234977,24.804421059738267,28.38135690492069,29.251318099497045,33.48602814588676,31.817450293073236,28.768796841705296,25.79884802169709,23.27944724835443,21.171060742241472,18.93771570607224,20.873682194621537,19.39498843736662,23.53453939132341,25.84694153546446,30.78808688443215,29.654817985836893,33.74467776638292,35.28928204766475,36.28434458457587,32.65877909052456,29.413380811196674,26.164862189266366,26.01758315433789,25.396997970807373,28.29863388841964,30.330967351076485,34.97110214657438,33.865858345697866,31.520775712906847,34.5747207071117,33.062106109288806,29.972641987201524,29.047764560352483,28.30914793307054,25.29137765968554,26.155750846232277,25.34427571558148,29.41927897479554,28.22612083312696,29.858614527179903,31.069695389530885,29.621989293722734,30.199207132779996,31.4271179079973,30.939658736120435,31.173431463496303,34.3259640565371,32.862283775741986,37.27694511153838,37.25425920246563,35.32114650475917,37.01041669718474,38.93288625968849,35.80124180121934,32.8140912489053,32.60893598115642,31.45415324645848,34.571981791049474,36.106539632816435,37.06181016121461,37.56457223333537,36.40265141045417,41.14379072467054,41.23030198762334,41.57901435948169,41.034709541733285,36.082702927255454,40.10935845831981,42.49701820131067,40.10416345843392,43.55946586231604,42.751454522906215,47.12828636035396,45.101908439851805,45.85625694616059,46.231302434995506,43.48326168839357,41.820753438199226,38.937903230360305,38.51429188055639,37.603125176486316,32.75142473245051,33.45472443401519,30.06035380889228,28.97705287732598,30.626394398669085,29.284087977395796,25.811816085342187,25.66475723278933,27.72026251325568,23.771376649111865,20.235166545267848,23.71158851174522,25.259352771677573,19.036972043676144,19.320405871412287,21.987969943134456,19.327942652342333,15.60858622008856,19.062974411547323,19.41188576010697,24.292412537379548,24.9023313911686,25.710855790634348,28.467396404598194,33.4135814470873,36.194442524306346,38.70459643658417,39.77068500647283,38.71282718716352,41.47460006627809,39.645479871266524,43.670146681236965,41.956813179155844,36.397393528404024,39.582121988257526,42.68219817950395,38.42537632562481,36.77083510198631,40.43042499711243,39.9259910152725,35.522941169454356,35.63952726590245,31.981727253434933,34.87952068096381,37.48801324678681,36.02341762051885,38.23279391710966,40.12493181334471,38.005195324680706,34.3700208978869,35.13967367552438,35.64518116084076,31.40981696479218,29.67841876561145,31.073340913205268,28.99095086175325,25.779069874685387,29.822885963674473,29.686130521434237,25.02020404798535,26.26911664962642,30.127638280551913,29.45997487885957,32.83745805438906,32.67844694524773,36.213389144251025,33.941778870858116,28.942210355252016,33.13581734050883,34.00940390114135,30.57401747477041,30.142955756007733,35.785920643830714,33.77432849131363,29.02414527615843,32.30826742279444,36.33921255805485,33.790175840115886,30.19161229858636,25.42210142242961,28.893220218629462,24.472464316595488,24.30165780975161,19.438998942496745,19.940150715723423,15.663427578012472,15.076974062948954,17.826775803228415,21.120678045273237,22.57615254841233,23.9614850302146,21.202895443516056,24.944136269008414,21.510989920227466,19.814490321966996,24.27890044096051,25.330395960838448,25.193742366158183,20.914807331919192,20.141001663126428,21.81840873685285,19.36813724793254,15.198705139272588,18.062733141246053,20.32526899692445,20.261673457273872,21.69553954732915,23.160365041669976],[10.17080848581226,8.285448264932999,9.811709346626184,6.88498377658419,12.266226047787011,13.550817086874654,16.658326514099507,20.5371977414017,20.835254131742637,23.00276998459188,25.99782734789205,28.03557336125213,27.974873457337708,26.789286585859394,31.78490039135197,32.88231475369037,31.20931701235821,35.609466396236535,37.62956485644624,39.56279904740636,42.68009204775381,45.65989415225352,46.55792394428686,45.164881922408824,42.268177312585344,38.80466162492394,36.75057252448555,33.40600863521297,34.76202173382383,34.330622382150324,38.4574656349151,37.11652255439934,40.80354236193131,44.55691583713738,41.98725523126671,40.204515646371405,38.61114553774935,38.98350321934059,38.07233351614093,43.13632185905359,40.02829469545217,41.95500630679977,46.23322737894846,45.424862827864835,46.318862864723364,44.72156494487289,48.832149696880066,48.92309359395569,44.672417028908924,48.57859778953604,51.642470088988794,52.11751938085466,53.71858850875973,48.36263527379918,52.21585300297151,54.357489229091556,51.15890486332667,50.74931357316153,55.3177426692644,56.48672483562396,52.4683638059476,53.66461596682933,51.76131421213161,53.53279174614964,50.92619918083702,47.306198906038865,45.10105704874488,42.26550188477256,39.969136993172064,37.98480114530329,37.2544728872714,39.843447880379614,41.57647813262528,44.80326292736782,43.67706038461791,49.88906427400665,48.19085012032387,50.87075797147042,49.33316443385091,49.99573989110452,47.43201678967306,46.204832196306086,43.673183138791,43.52062580809212,40.64803405908284,40.2691456235701,42.87193522071896,43.63108961818249,44.11960896838248,47.34843018169672,45.43565013663045,48.67108013314126,45.28816210080672,43.030128700329506,38.291482757413306,38.93135290358881,34.59277994351284,36.43067468653474,33.44918352486419,34.162007550319466,35.94935239468831,33.80564675295733,35.97724925856458,32.91150713270151,34.93346859032474,29.88106919396664,31.45122184192851,29.91264435944915,25.48403523274108,26.3802632834562,21.949808812307182,23.726117792732914,21.502979143995045,22.45241174941583,24.46049003329859,24.375993368059444,28.30373218255099,28.94979457230504,33.874784408501824,32.48867550688935,29.67316496230932,26.688724869248123,23.62704703093394,21.191732515812962,18.709985972435113,19.139635482232805,17.03291103444259,20.78836474515706,22.52430750333319,27.552651951648773,25.602540291685894,29.600192795149763,31.30467824538746,32.80360691846921,29.135587377707196,26.43019888545383,22.524009939192933,23.265141249628314,23.28059271261876,26.38087521549513,28.782044166705578,33.628001524792715,32.98606320534691,30.380317120918512,33.368381054989186,32.2915382717975,29.062960344455018,28.27848047888392,27.12922537183223,24.666858356879345,25.059708172587516,25.263478768552087,28.98959664515297,28.724525222984727,30.64329210093483,31.209202722770897,29.701998782935767,29.436147527951164,30.900332133739496,29.334440939071968,29.306863711089346,33.05883628674493,31.114796749778034,35.53882093902978,34.835056412904,32.6866109869206,33.80207724481093,35.52988196358056,32.0491192229709,29.499021910741643,29.215320434047353,28.69953271674913,31.941016171488073,33.76402309454244,35.153608933235695,35.77762821772842,35.335841756365824,39.78828389937875,39.53106061078737,39.50534224028233,38.590841629312514,33.46239237361116,36.94480863867514,39.127679498980775,36.9394795256168,40.8898953547987,40.618418024159524,44.63050861874522,42.558165604291815,42.819723796420206,42.81233560708623,40.112423426669764,38.006469105211536,34.96139878715728,34.246201582174486,32.956302114740765,28.136534737776444,28.691591252016153,25.08235370605359,24.495352494822587,25.810628409906002,25.0286399978387,21.590659552772774,20.72500587948851,23.05824937553107,19.594033285836165,15.247523150048764,18.779074785471877,21.190500299505572,14.985292184102269,14.776591997229616,17.949730954129418,16.152875241590152,11.940521868265456,15.135689890881528,14.669989260605567,20.095345908763097,19.641535900283056,20.538014076285343,23.6488045693401,28.344051015674207,31.48587347443561,33.639198677962796,34.87680502154943,33.71789023201065,36.56631733958596,34.90794161361866,38.674070809485116,36.748984994493206,31.229598684480845,34.534875081915025,37.33076370787279,32.956890189624914,31.467904173440534,35.17982134355814,34.36546385591761,29.936313799390984,30.416550156983558,26.734799337093357,30.170730463772045,32.724385577629015,31.39500076544552,34.0079666072805,36.12065143685015,34.35475466965758,30.340868272319334,31.21457683019069,32.31346814631224,28.08954940709376,25.90882182571351,27.865324410460676,26.237053754764695,22.529998513952535,26.387226367636835,26.90243348701688,22.566186564838734,22.967710997050954,26.732699510185707,25.496320525849498,28.720147801858353,28.428231874346434,31.643015645444184,29.35478100033339,24.21616616731397,28.215402044464764,28.872846034984672,25.39543191208763,24.803137045924913,30.347898026402557,28.233714951807176,23.394630614369493,26.674210351580726,30.64438853919059,28.065647416813235,24.421996366360286,19.654793202889127,23.20756515665431,18.884179749369203,18.864079978782147,13.834328495583017,14.393095011426018,10.424438545631006,9.366367431726308,12.085354980217092,15.380322884664956,16.93833243055697,18.43870423948927,16.276616725319442,20.352241309561343,17.65961504420011,15.983847625790913,21.04573821216609,22.109258771732794,22.96993488989517,18.349241242922343,17.184560156844444,19.873441961705716,18.15527013251191,13.283219895002652,16.166537031370638,19.463731159706672,19.989546245658588,21.926849111132917,23.435994552274348],[6.9986700845020815,5.395193696832518,7.743461232560427,5.146334851573553,10.841620300734595,9.649961314574355,13.133935153259058,16.493794233427142,16.702413453507283,19.528017453550223,22.276018785584245,23.898636646011703,24.55222007520649,23.644786764268208,28.385392093024304,29.515351270217213,28.47007554598625,33.00988741204786,35.63872237067968,37.483929607153,40.896091702279534,43.98818285389762,45.18542742411281,44.18016254724131,41.074871750371955,37.44691789254298,35.17521744029459,31.49260347379918,32.24888598208909,31.306371669665555,35.17742124274266,33.54708239324924,36.998323355143576,40.99954319526861,38.67641616193524,37.289872050994454,35.55365314271117,36.629291110521436,36.12514433170505,41.3383438235632,38.70213678958109,40.301397941462824,44.603662522373035,44.06066966378529,45.38500604705771,44.03266496999369,48.19014407897414,47.82020886710879,43.54522755977681,47.74371368078811,50.40568571595361,50.72672847438229,52.072350747568194,46.58202686780864,50.17678073880198,52.489618326776466,49.31977460511072,48.522805754286246,53.03540774249822,54.58394545104054,50.513250897995555,51.369697298166294,49.18731079010636,51.312598814984796,48.93294030632907,45.08688238989107,42.98314739856782,39.77840513939693,37.72322656974873,35.31565368080314,34.8970195824483,37.51337441647955,38.882368666749386,42.35328840912978,40.843826633274524,46.96565963629813,45.43862741651743,47.7889192335264,46.42743480117716,47.371869229860984,44.6352186523223,43.77213197843413,40.94971602758587,41.29780735251589,38.63746958544891,37.79304387015163,40.46078002957219,40.69040628848068,41.375651270338814,44.09487543814498,42.26289513811872,45.3923636334583,41.847650050142654,39.34413949213333,34.635845832168535,35.1020338322249,30.827849546221508,32.43109934849272,29.314394688462848,29.672638839610617,31.96882914970098,29.813069574402594,32.460179838666534,29.512512128984195,32.22361956310663,27.235175710889994,28.973576107953306,28.068806377662785,23.628056430034864,23.776920206202433,19.273819801969594,21.194665532658103,18.497000779953453,20.226516546785575,21.97120082363027,22.635527192854735,26.4933103661865,27.905788982404673,32.49324532527538,30.43540129246908,27.82547318884009,24.540481918626515,22.215434483124724,19.393262455640834,16.322101143865094,17.529767108865844,14.645780312962376,19.01465860987117,20.957288543901296,25.863790256183766,24.87805173650183,28.681582420223894,30.673086591805053,31.412057477361,28.341097245797716,25.32339294202038,22.254044341239865,22.92321158748205,23.102780819966988,25.62955693538806,28.70177447098848,33.332028187112606,32.05950314010024,29.256808039031455,31.966012441975902,30.239087654271838,27.11778837851938,25.68315424763704,24.30466428816472,21.27376955209745,21.377172198435908,20.958780438959575,24.60308592929768,23.900725892963912,25.939588874380565,26.828672903807316,25.64658964952178,25.624109289597595,27.419778918534686,26.35592534787426,27.13736034300224,30.77413618644425,29.700879892377166,33.889805947874954,33.810854152458155,32.4856322681448,33.595672353368386,35.893932485355435,32.602539055039756,29.88812177378581,29.14930566468414,28.137889042648833,30.76032954330469,32.06616003934349,32.958445040189105,33.11599755818386,32.37623301196618,36.73532223853478,37.04031870665978,37.04654234662431,36.78278512663911,31.429370774207534,35.47559886486698,38.02746727176722,35.92731848039737,39.74283496030078,39.3293816567174,43.65455596491054,42.10907625581163,42.38048725727467,42.7236650472975,39.681721913307406,37.89368285685919,34.83109498032534,34.17334625400209,33.15708830896693,28.334743659413245,28.57902361300156,25.097042975131615,23.579940030691137,25.117747516032473,23.461519737551125,20.100889874046736,20.26755831601096,22.08805669973345,17.930591596357242,14.973863186733752,18.488817000842175,19.67026049434501,13.492744366157234,14.407322195731295,17.171269801796132,14.241531479891888,11.058028387546088,15.330390159803079,15.585407752146361,20.350176484236634,21.448939394581494,21.394139755867787,24.07462782005297,28.95071116375585,31.90204222679555,34.16358095078281,34.748839285496246,33.48162529305099,36.037245788989225,33.99347879553658,38.17411054295176,36.7331378406183,31.098691191590085,34.15362100703993,37.580644888285995,33.53926144708763,31.723179345398567,35.43433620784759,35.41342739043374,31.085922398221516,31.020087291970935,27.02103531174782,29.4954104994642,31.96306898266895,30.308315012498063,32.34750225569832,34.18000894689325,32.00651724601485,28.441790290632476,29.22187643456023,29.659273295409125,25.393952590918573,23.745644971544895,25.23733563204165,23.187564660865824,19.9835769337505,24.25497481708819,24.281019640719318,19.734433442446523,21.130346812669984,25.07730537682833,24.319185008748207,27.448022137073522,27.016557215151686,30.704352147444062,28.793516946133582,23.651967020788454,27.750862210263694,29.04487556399617,25.77636105388955,25.166093985789676,30.985281717350606,29.529618332862526,24.772846684466323,27.84985911441163,32.15229002559986,30.139269776378093,26.619057932325383,21.976247578931417,26.201210393516803,22.285323192848598,21.69905889108767,16.72535886053029,15.945786238274312,11.181241375917502,12.191983950954295,14.484099366993206,18.230440914743458,19.02752897343792,19.486953435245628,16.374302435263218,19.811142603478427,16.494184559642175,14.123599126677712,18.385713645677598,19.312941982746047,19.35133323014033,15.061476097560915,14.135369657125183,16.037766549882317,13.875514398466654,9.314985141711238,12.53482995077191,15.1996212314214,15.334157846362988,17.125354164733096,18.673722233810338],[6.036198326723556,4.699607175304328,6.673958286350213,6.022322346893423,10.310190382437312,7.0301728087176825,10.949669673641028,13.52562815016511,14.177993216197459,17.688474819292804,20.26679874930263,21.27303836507426,22.481331992067286,22.163129113005493,26.54250106652588,27.49898443178624,27.006061014014872,31.645463843005817,34.802589117587495,36.367985953622565,40.04464387220412,43.07966709234374,44.58981481299408,43.874189029681894,40.556203275007356,36.94108156397503,34.385108201208766,30.525199553779526,30.775221120448418,29.33183269405571,33.20526194087016,31.096261910166117,34.38399706001137,38.595703062845445,36.38720667062991,35.39016497330041,33.35622957576725,35.041066922922454,34.79921172233282,39.920727710267926,37.81565278649134,39.30310539975107,43.532260123635254,43.1037257402605,44.754634244329054,43.49152799870576,47.650419322464366,46.96152263030784,42.59867642419546,46.89269100915514,49.270532417963395,49.38671154558789,50.61104911677943,45.07141169484041,48.46466906860151,50.9699435876146,47.93323973741735,46.83994431947373,51.282738657347636,53.15331797338422,49.179061771164214,49.86738667042597,47.52179218804681,50.01647146694852,47.746787269409964,43.72589190469768,41.92568407556871,38.4546103334755,36.78980793838232,34.12017012188667,34.06077881009934,36.7896530179648,37.71939555800235,41.26114537995609,39.325755872196154,45.29552410367982,43.747934151385394,45.775411277273754,44.44048928436806,45.501126183739046,42.51472714146284,41.834220334155916,38.68784628158687,39.34150751404377,36.97047204679365,35.863634315071636,38.72465120100475,38.49494715737457,39.546225410074676,41.86305308728489,40.265522508561325,43.412041901078815,39.78617983977295,37.04572920661368,32.41781632338711,32.87047343026354,28.721191068805126,29.805608136959165,26.494126263174543,26.33750450443889,28.987675642286597,26.541633042901893,29.62007501957324,26.553421384947875,29.673023559172446,24.75326557437175,26.42450052341618,25.998964454098974,21.608965422441663,21.21677425094169,16.85687453085761,19.1290690071446,16.37564942636721,18.876848281710505,20.685806180710276,22.00702320289344,25.786609446909463,27.805327991970653,32.1951879149455,29.63612301998015,27.353791878502506,23.872569953876457,22.16210290335357,19.001277215585123,15.430551548955702,16.820745761675383,13.007850668980536,17.642366908487094,19.478727924825453,24.144784441712577,23.844840955125182,27.32039174030287,29.62534794148769,29.791377715918095,27.361004487927502,24.318257589645032,21.914955538290435,22.822500321870525,23.36385473523759,25.33634029622988,29.05082279829308,33.45968192146424,31.790618891521685,28.783076001645824,31.150810400052773,28.97471889311138,25.98323805613258,23.96920821073785,22.223535013056363,18.85007704660923,18.39541333582754,17.633909824397318,20.95517562820745,20.079650059549255,22.38773225764631,23.41209743509964,22.620426707665562,22.54455353163644,24.79342543056548,23.88638549843345,25.4267327860288,29.091992410475026,28.735859373603635,32.62169642557288,32.908253421810194,32.29634401053407,33.18490947334991,35.89476100808132,32.70727112396125,30.051145792820414,28.890115079756956,27.66705354583147,29.68531524949031,30.562956669023983,31.097982010660374,30.812216506928362,30.037574361692272,34.138948861541735,34.90066688975078,34.799382228338075,35.06389834747793,29.48873519625731,33.84094267231458,36.647617033695624,34.736283528579094,38.55172342724817,38.19542990847128,42.64270503779493,41.59219309499945,41.70135313598257,42.2302234421765,38.927696318454515,37.29375893772718,34.19525122352225,33.491407554150896,32.601365877549355,27.882882921988735,27.762531829885077,24.39362595564773,22.19312741272511,23.75189713713789,21.449290647570233,18.311480195374475,19.239269822100688,20.54895911339758,16.004710492208428,14.396624294658547,17.660045217882026,17.824522411208104,12.057280791774382,13.882650504029598,16.207788889647034,12.592149295859826,10.698090193427648,15.458310926042275,16.080495521767386,20.14851114857699,22.241017490883337,21.402598184673664,23.702082650282797,28.544287802122344,31.36637779607394,33.59428101229472,33.631396243702476,32.263936244243354,34.54819056153327,32.23615464431311,36.68172001421335,35.628358500627805,29.99652050249838,32.82326348395335,36.688889397629715,32.96857788364392,30.95433714955509,34.63813798043137,35.223852500459245,31.042538271098106,30.642839960859174,26.406945267056983,28.115595559700168,30.421326399852816,28.49487560037181,30.07851230066167,31.662726841299012,29.242045315248927,26.057197787899263,26.730289886851057,26.687972279823228,22.45652175071404,21.22710249767462,22.373802747494153,20.06398834637263,17.309325745317572,21.841161432652786,21.572320397755714,17.02792548978124,19.1491371290616,23.1360049387549,22.69095368081495,25.607789040528253,25.01959458339452,28.998614038986943,27.463291360332505,22.41264166589703,26.454725325537925,28.236526665748688,25.220472882459873,24.58654413862747,30.486982397103088,29.597930003313117,25.014267096082467,27.857296488927513,32.32994865449169,30.818884511763112,27.47358673284476,23.063653880502088,27.72636073197376,24.24599831534067,23.26323351508925,18.497145769436152,16.73611117462212,11.83963258951435,14.210959940969982,16.027335630315424,19.907883859415012,20.129237671466065,19.708672517632817,16.14555332362948,18.903759803940634,15.442296162503597,12.416221535934573,15.741583441083044,16.440732173087465,15.916485831951501,12.058021353306827,11.24400211584832,12.460202553428665,10.141168372746286,5.904811151368719,9.374589407412747,11.531479087630492,11.44225281080662,13.22777206172951,14.866607572901923],[6.157699805128828,7.061420194539287,10.43071407162641,9.492950979757406,14.03366626283651,9.696679000451464,13.077406391515357,15.076022796380146,14.689576233812536,18.407687880264223,20.393705538105024,21.388414443667088,23.38968664324627,22.613488563434814,26.808041837963977,28.167914547119324,28.08970391089646,32.628215149582736,35.90810471194703,37.798104131744246,41.439594966611644,44.73239421507496,46.16863387456106,45.61411279091197,42.41547026019615,38.579129334091164,36.24119256228291,32.220638582940566,32.19494646714053,30.641294438712244,33.780264636035916,31.973525681820774,34.89959889845083,39.22066528859258,37.41629414069586,36.595511568937894,34.84737478041013,36.83751830793353,36.908503929059805,42.29953190168329,40.176733390344374,41.244793072127756,45.5503745396598,45.38181547416016,47.15499360543277,46.15681523486075,50.3086539635393,49.42967082961178,45.25546417319396,49.75817560397856,51.922008488916575,52.105076531008876,53.09653378083387,47.50464952850935,50.75632226925112,53.20553789685544,50.040764934148925,48.78324985456974,53.175903261877956,55.143595228346165,50.97339928327904,51.31043741029672,48.74091911405618,51.2094231421841,49.21777570576848,45.16128152172894,43.006113381434375,39.37492675126894,37.46972114779887,34.48142985351876,34.36132860037828,36.77550102165782,37.81651107534333,41.68683542379306,39.83949450899512,45.78782725869405,44.70328783213347,46.60199238340732,45.62200381606635,47.028913812623365,44.182759434667595,43.89251844222347,40.78095059795548,41.82949737995731,39.44457152805899,37.96764014194678,40.565365367893605,40.08934221008224,40.87540072530022,42.7958289919799,40.95921835829424,43.74981344432633,39.96955379669442,37.165851449411434,32.57209367201384,32.55167403313773,28.448500866765755,29.959628709442196,26.766838966770248,26.53323868789085,29.864790572459768,27.87139249703368,31.275148292184696,28.659086624043294,32.34197258202411,27.6042199949379,29.453204462558883,29.387286238445597,25.094245791381727,24.29748550715669,20.003957126505732,22.02165292520958,18.760749095746338,21.363313587541885,22.407701732591168,23.92982709743157,27.44878941600799,29.635465501651694,33.55649970740272,30.75736975350913,28.36313342033358,24.877779877574582,23.610570603292572,20.670639405052214,17.27718840892258,19.60045950596007,16.23145504982956,20.93779288217477,22.98927455081123,27.518176894700513,27.598068796283183,31.03006089193117,33.309851099114475,33.21859517148301,30.894441650668487,27.641862559078724,25.53353016230754,26.034799888153774,26.23403455623081,28.112126413709618,31.587478625430798,35.87904694574079,33.94823981123456,31.102628752904355,33.47966603592868,31.004587034265093,28.138229588307922,25.973262478358475,24.451025062200795,20.667983218656158,20.374362183066758,18.66144623906102,21.979190251564404,20.04357656506783,22.38119505986272,24.11643135233198,23.611179343471328,24.162153966218906,26.391959392808165,26.26328898800039,28.0955617935309,31.371790158117083,31.38245950080858,35.21101741503233,35.89519437086384,35.40316743449706,36.56147189071975,39.33540442517991,36.29174174966443,33.45927748669013,32.361653198689666,30.859383938385296,32.788508070389234,33.4711785341675,33.70892675952466,33.2571806016195,32.039399892942704,36.210096412322564,37.302210113613135,37.3854609725836,37.95858543232706,32.47931068886276,37.10400340610459,40.01968450310891,38.051916185820176,41.61213755913303,40.987322882762896,45.61606699044405,44.628587302449596,44.968554203646164,45.67247073039813,42.353481998505096,40.90779414940091,37.87751113784907,37.27058000113572,36.489116292444315,31.78566704006293,31.666732386390144,28.327971879265956,25.98749049918776,27.45978827630758,24.920704642445404,21.976237403244024,23.004359861386174,23.975892441001875,19.371596701171267,18.145042223951066,21.031976750364088,20.63076084130131,15.107617476077467,16.791398554905445,18.568172237905802,14.584795735811568,12.906121074853178,17.370111137416714,18.612792235597887,22.226424976951225,25.061773538685596,24.408291542848115,26.375291603035816,31.42574278694352,33.839470341444894,36.454355970762016,36.51522966556685,35.40059211456614,37.72315432304105,35.505520003962495,40.082494737054944,39.03343251489573,33.55545446936222,36.42442519587944,40.36388393574099,36.696945541000495,34.76375182508649,38.486727714014464,39.09454123291639,34.91324119726361,34.60292732348713,30.299748506610253,31.876891261292823,34.07514045140072,31.93078767569679,33.29732852176879,34.54365176678353,32.0959628640057,29.239528817482352,29.539431618351003,29.144785944506243,25.161033122453375,24.062993188851095,24.584562018373745,22.006013226317435,19.66790153950475,23.979720789730155,23.12777411732526,18.404288765431012,20.993167131686373,24.909576873955892,24.96550422585284,28.089151449681513,27.843788534621183,31.925134802449374,30.191034916938573,25.4666284090861,29.72859847139155,31.419819206343984,28.40133901783249,28.149765935664053,33.96547076257006,32.92756435854536,28.532640063955412,31.589867733997423,35.90558414238774,34.25704247438288,30.99359031748394,26.541835705994274,31.00828420617125,27.368931837402503,26.13137545569265,21.5014912366179,20.062336199643013,15.195002622192435,17.320311185742177,19.529705680312222,23.39578934853779,23.897595644813848,23.561418396608204,20.124817390569422,22.823920592221462,19.250642315154455,16.20078423914536,18.981779803302544,19.374664007852715,18.273840192190534,15.081243123462325,14.153337763400046,14.335524923631239,12.06906802574867,8.76160034982267,11.013080287836853,12.018561977414977,11.594496977499585,12.935054263335498,14.726462546242823],[6.3871524538644815,8.260167342966671,11.29794198392878,13.0345263502332,16.28798891504185,11.304814813837613,14.839258458025434,15.351822274920629,15.98567477216693,20.460891473607898,22.10180259312808,21.966931201599053,24.78688138524284,24.96382241900797,28.490172697498743,29.500616870289566,30.16709274421904,34.74351155192819,38.60992805087382,40.0259230933851,43.96087885742635,47.052682292237435,48.88527520397763,48.60823618886354,45.154907989332905,41.46853579432688,38.74825151106419,34.652699529315065,34.056780007054016,31.832694910450787,35.04158564837512,32.41894970307572,35.01819693436905,39.631583244732234,37.990102863473076,37.78862762217954,35.5003518908962,38.29342958900716,38.59253138259531,43.60242420264955,42.24938846034586,43.37614624783888,47.49169261130921,47.33193849252573,49.420958087050415,48.36437970279005,52.47168141572851,51.33575576927449,46.9735846343705,51.373860302779335,53.292244738404285,53.11575272939351,54.092360474264105,48.526501990132665,51.52651681954696,54.296205937078376,51.43433839934877,49.82663668569799,54.09084299267415,56.48478037886272,52.590689767868035,52.81786765192809,50.10315594281219,53.088394233886525,51.18502056854289,46.94575007857846,45.32958507079339,41.43031960503467,40.109916611417816,36.87532785857814,37.21846331399281,39.74227302158714,40.20978004219373,44.092787705432485,41.67883392093385,47.321590442565714,46.144726376861676,47.538018733633336,46.53017587554655,47.9922193908512,44.715482986219996,44.54586781345414,40.89846298909178,42.20363599329471,40.355490932664,38.72008576571947,41.71012169243594,40.594415438164646,42.06346178855186,43.39618839460449,42.02521763886544,44.84280108881322,40.995287551345704,37.839407214387506,33.48375707211059,33.421475176114114,29.64609416254591,30.198867295659177,26.717457412597646,25.281298381284394,29.30533208428714,26.53778634410557,30.717746060210768,27.63283645717534,31.601316404570515,27.0108015489843,28.238602901309118,28.675192721941883,24.515220695390756,23.298066683560354,19.702887664235814,22.582546426164285,19.858726750139056,23.321232876094143,24.746599944384855,26.88789774991983,30.315862323954917,33.02376886925761,36.83920919472306,33.59992048546112,31.654019552415615,28.048395963068838,27.317690150920182,24.080650286592682,20.293254445756467,22.200133265269937,17.654871649084182,22.23372148007794,23.68152988737252,27.755796716811048,28.241814187274883,31.005731455296104,33.88269401044477,33.303524592129165,31.9437163540286,29.060086855224437,27.413078173105237,28.62758350920336,29.43311382403672,30.82556194092814,34.99724291567369,39.09941089009916,36.94213457275046,33.846520694680585,35.777532662629014,32.945801894365076,30.268895127094343,27.465655511614475,25.33011579357202,21.382984772989364,19.89081441802591,17.806110809988958,19.86615334661622,17.326909498340335,20.62899661870364,22.717158507120264,23.182053321958474,23.37402018414754,26.493401242945897,26.24693546218166,29.111048441510885,32.58033392252703,33.34688837535301,36.7219233711987,37.56476860758571,37.80550318918451,38.41630742333302,41.50972656631521,38.41243542425149,35.921074473203625,34.34826607949695,32.96818746779482,34.19312778751847,34.42571597842857,34.338815009516985,33.23369388656876,32.28774529782828,35.785946553952925,37.50892830339211,37.2291484233451,38.45829121389799,32.63889331883857,37.32505562769177,40.45426673059971,38.91742884697435,42.70432309670618,42.41923442261994,46.98577770770801,46.59781417350171,46.49403505491236,47.205815805099505,43.61833761102347,42.10940702657794,38.956767412251374,38.07099125738347,37.13385475348601,32.67069104903202,31.84906953006126,28.44061639870667,25.574526416404364,26.384528426127485,23.253782414935483,21.088197705648348,22.372902860801098,22.269210062929645,17.66564430647511,18.134157294607647,19.93164216228448,18.021918903648565,13.687645898785687,15.86156171929102,16.512160832813407,12.002098432529692,12.214728467005031,16.40127904915023,18.324110400634154,20.54260890731188,24.91612418332146,23.526198744842993,24.681089651429065,29.681536119781413,31.563701915045797,34.38772622327516,33.95131060602719,33.07026809547391,35.21067903838203,33.066330197349615,37.91160487536039,37.0984089919848,32.01821719533403,34.82448342205502,39.0771666194498,35.821696662040075,34.02263261355985,37.83944961072397,38.88564343941177,34.931021546164615,34.83248962480014,30.06353772125404,31.059175530784447,32.71839007085428,29.925939691847105,30.83286760325689,31.35852115980061,29.08398129271794,26.81287950733355,26.299057730638147,25.447987087082954,22.0356334372744,21.0249866669773,20.601494477430904,17.78164993439766,16.12403740139307,20.101820777682804,18.605630929885567,13.964164591736345,17.336395183132968,21.04550413496368,21.755329959457065,24.770404481099497,24.813003220825614,29.071980179640022,27.450006746194525,23.33926702317237,27.682677111904507,29.595060145084105,26.919403086275864,27.183576661683336,32.7532759924731,32.128538965782866,28.327331676554522,31.39405416239753,35.498591701246546,34.29698589808638,31.4701319527226,27.423691029199095,32.11313745661552,29.060848256089844,26.999718770000992,22.989407467392443,20.699809170160627,16.183013691838553,19.53493888039944,21.483495340175896,25.342110024409084,25.571758293486432,24.215857373004724,21.15092350661354,23.195285617591722,20.265063916307945,16.23778102940349,17.565889164369995,16.930154122647153,15.639478334304085,13.85840647705513,11.967589673382914,10.701731735421504,10.261365620437381,7.805767427233834,7.436516173333455,7.061004933187123,7.128167183480529,8.848350924627328,11.283377422942786],[8.718147847335503,11.755204219582463,15.637731753745717,17.260370572643165,21.036531938500026,16.036218239877492,19.359841260196635,19.598082896679603,19.612310151290114,24.09012344339038,25.225197736170074,24.97314278673987,28.42464863852858,28.293891355413074,31.566374579281817,32.863614313351924,33.87967353813237,38.33299789804926,42.27021092157205,43.9087433107988,47.80353986680781,51.06172127129746,52.84130290903757,52.66811084486068,49.30903513399672,45.48580203374242,42.92367185335442,38.746302698574965,37.96084830753841,35.63997516840031,38.23863672194504,35.80429197958657,38.004714237851836,42.70387244585619,41.44568983429714,41.45764141233406,39.34513528946184,42.40387318283223,42.911832775015874,48.04210609352913,46.71340433091906,47.58671683265615,51.732649419957,51.73689667666017,53.89637580866195,52.977817721131856,57.07567479532139,55.8395830788774,51.578970177630474,56.06750536734074,57.86331463271175,57.68970637348751,58.533888630811816,52.95330547840942,55.82488439529557,58.59508439694893,55.688102152673665,53.93744510302007,58.13884531464706,60.64018878948944,56.64619095637106,56.605108018090306,53.71487536054422,56.70755805930693,55.03403788331705,50.77519483399234,48.92320205818069,44.911153945741646,43.42644058179965,39.94938672898897,40.245939597369805,42.46028560250347,43.01293789451315,47.15399073744627,44.803775082808876,50.35135741657699,49.57394365927255,50.79103101687214,50.081425231666714,51.810764374669084,48.60112176500497,48.7182729073748,45.03893253559394,46.61211210967888,44.82799974308811,42.96587269483283,45.805956968218055,44.450602585618725,45.79246555626332,46.72496636275412,45.22516731207944,47.70263439048188,43.74210236550497,40.51463862915037,36.29104520865993,35.77232068865871,32.164528596672845,32.965165225445965,29.623596961876313,27.902742995388262,32.577702883694414,30.062116717538018,34.55634441180588,31.720066477253688,35.99444358152924,31.55466869082653,32.693151696538095,33.318234507188286,29.218791751081092,27.876880952607767,24.46650351415299,27.32068715415833,24.437096103159764,27.90713139392362,28.928550358927318,31.129470556788952,34.39962076990579,37.15176885587832,40.671411726150964,37.306939364720634,35.279153321082035,31.714986388223533,31.216901836750605,28.159568922672538,24.531190220240326,26.846953761023965,22.50537523502839,27.103556159365258,28.566365316126184,32.5709413849514,33.097864573115835,35.77018653030547,38.736719862770094,38.08564122676588,36.83544980270683,33.92983661605501,32.28089199975183,33.39308634205779,34.025605893572305,35.466271675047274,39.457157924651376,43.54049389075019,41.277606388935176,38.28693286574696,40.238185840090516,37.251031576232556,34.6576748402767,31.783234651353247,29.76442598299191,25.638693831747904,24.15780966473173,21.48993605750208,23.177981417980234,19.633386542305207,23.09713643334728,25.841126471370576,26.714555290117946,27.28808882110356,30.463042080612478,30.670591151756277,33.742415791784516,37.00519343243404,37.97365382270664,41.30797387900287,42.32926584086925,42.584636645143355,43.2881294808412,46.36850535638337,43.26779712927468,40.73761038533797,39.21954248145308,37.78705183445925,38.99772000840275,39.13574245218529,38.8855202064921,37.62133123500367,36.46111497245023,39.864483815967795,41.87510845877011,41.64422572977104,43.10744516036622,37.3106982831724,42.07695401288385,45.25404518566933,43.75161500990276,47.465802232015996,47.086543037712175,51.72327033533336,51.37219043028094,51.338650816066746,52.0876296073335,48.488273146782475,47.000781579733506,43.84160780017775,42.92035448475489,41.906966259742866,37.458065523036225,36.52390287925271,32.9992381173561,30.184852753021655,30.623598816861353,27.463969971479656,25.607918899361398,26.605908453745066,26.10014495092191,21.7172259063151,22.278569950116427,23.521539742349965,21.18750687531885,17.31375321862686,18.99348975561452,18.944854249406067,14.561166464021044,14.886224987644438,18.239488618566178,20.7993650068543,22.263075536730508,27.465544166172847,26.360093564723815,27.021148850620005,32.16990753076824,33.41928157678319,36.75704152999074,36.466066678021996,36.04439440830325,38.31416529965011,36.51322858671332,41.41501395955115,40.45007947656147,35.733901202100995,38.70620862871595,42.88419607714182,39.67341303757728,38.14491374504048,42.07822266333159,42.97067264699964,39.022400704865355,39.32044753277035,34.383237715911555,35.499281473647144,36.91983869614058,33.80147247141888,34.615961553062746,34.63552383738343,32.65013842041356,30.6907426733377,29.51819734230525,28.506311658355894,25.646348431253912,24.473930838426302,23.303702755696488,20.446959964482303,19.184827140138914,22.41482955354175,20.286429141507607,15.78398802347969,19.205248694781638,22.54896168156277,23.86654598288657,27.133074922758645,27.785406397412405,31.958264045423693,29.934609706414726,26.435036402553457,31.02693360055002,32.61286753503788,29.954732876020792,30.83515412606435,36.14568715074489,35.221939248758886,31.794614452147442,35.20675670437634,38.954287834536544,37.543416185182295,34.91720397418153,30.901180289054103,35.28092337056148,32.15886240300124,29.66416343027241,26.008075755546287,24.089234948570283,19.78203572576936,22.879123340470592,25.224359020638193,29.026141572068266,29.646366386285525,28.355457316101575,25.722064101934134,27.893232646008144,25.12547947405745,20.987386646459793,22.11905377170753,21.05519921080112,19.73560822812896,18.54326857332768,16.257354135766246,14.473675627341242,14.760100897244739,12.59725939140918,11.06621835309558,9.823245915785309,10.069647755810964,11.171781909269848,13.519980930505],[11.135143840648587,13.72570396034007,17.33970563650172,17.593944170218958,21.381713175456717,15.635698497085075,18.271785534042994,18.38398256592124,17.340095822127136,21.596234781976147,22.281065506680928,22.250313312329766,26.007750546664706,25.39979467518657,28.527179431443273,30.158648541718904,31.345548831189706,35.63164152173109,39.54721447011205,41.4787842780801,45.26836404234875,48.744346729052054,50.40451927639228,50.36925826947754,47.15712437523855,43.1612554059515,40.85078809672661,36.59133533718969,35.65958508299523,33.42371594977737,35.38342756720882,33.440544854644635,35.43817184618086,40.06693301452501,39.086810010413885,39.068576921923935,37.37674751552457,40.45275521714844,41.199850667593864,46.64200712001862,45.151985352149595,45.5913396444096,49.80738306364893,50.075371926171655,52.3109144011499,51.70604029429438,55.786183287707345,54.36961475165391,50.37299831598076,55.116990503541786,56.702956492112875,56.70677816363505,57.283600271667915,51.66682491908168,54.439853443294474,57.03834134041723,53.94270320039041,52.135642419482,56.297335722862265,58.76509844376654,54.54045167889838,54.2083681323885,51.18213766359019,54.02422933213414,52.58008420090478,48.355249384114316,46.141344864545715,42.08094947265749,40.367012790669115,36.72825577744704,36.948386873341846,38.926010435283345,39.572954386448316,43.89300784653149,41.70625381256505,47.247850114261674,46.84199919950792,48.0775126847029,47.663563971956904,49.658781567297034,46.73406037892117,47.17925816577976,43.75697663350655,45.62875416261314,43.66271954072581,41.488728294565796,43.936479817603235,42.56301697032089,43.46049870321946,44.22772897823109,42.42311747776112,44.61265758510958,40.59674780849483,37.455082941909865,33.24409124676511,32.423318115455196,28.82909647739673,30.164326715448794,27.071564782026737,25.81616152439626,30.635610750601895,28.92064243383972,33.25835916626803,31.13467406564365,35.81429762354,31.577357726674386,33.306636501969265,34.14990758685518,30.182401258892945,28.499919511337573,24.839026153385785,26.95489479446017,23.473842039063495,26.751975695633917,27.010703956272167,29.288408440388704,32.26119293658749,35.11992136624141,38.16751124920139,34.66578076216414,32.58644685757999,29.102274996170248,29.002549573501877,26.192085130304925,22.831944406482062,25.933047311266144,22.34100404104844,26.97510685977479,28.912412568438945,32.86558164094603,33.865773666427465,36.77198663680916,39.37603768897025,38.49055643737042,37.03945164270596,33.73743175266176,32.47486503271849,32.907603003765985,33.12475904737161,34.41389718669918,38.12601732309915,42.01529276242106,39.49088484656253,36.705466724028874,38.676393775633706,35.48796643252709,33.02445912557456,30.178868727517234,28.566936440037274,24.232715159875784,23.379828115311316,20.12930374185781,22.376310017646357,18.4200767569906,21.22586722197163,24.28856752352891,24.951354366339558,26.209124196581474,28.926507343104277,29.91378967179668,32.87571176371868,35.640831727500405,36.81607309681029,40.139990513652606,41.58092965393766,41.903271611820834,43.044849058754565,46.20475707225685,43.3828535863399,40.53073761751,39.1301215206836,37.27011064075593,38.47677807834373,38.495396852856715,38.01444539433416,36.83321457965948,35.13519415914662,38.8368465560802,40.90218193703607,41.02547106751014,42.57236000652469,37.07611869934707,42.14520274226427,45.3800688334057,43.642846999958046,46.91972529351306,46.121132078876066,50.97453390141883,50.591043383120315,50.95703222684853,51.9810625827906,48.42055702378329,47.280395147404924,44.29478726450848,43.67696227415877,43.030932062424775,38.525767821582384,37.96651582827655,34.72818099955484,31.764871515964064,32.85929417516061,29.587929140308866,27.36916139124195,28.899571138906385,28.836064299262578,24.205799913729592,24.569094821078505,26.482838421069843,24.459244469617,20.21919776093608,22.159075865455073,22.63105310288062,18.15374790085659,18.06977420782247,21.877914737843625,24.10783611388305,26.18797934489347,30.80623553287451,29.767486688176188,30.78875113633465,35.90600534387133,37.450382838678436,40.58288072420614,40.18860122753023,39.47867054341715,41.58887686399744,39.43547809184314,44.34338545628905,43.61266701309697,38.59050648024046,41.32402120793241,45.64901833082787,42.41750761542564,40.56689554483821,44.32221529419406,45.4189910387545,41.42933712034044,41.15783466563768,36.53068038772831,37.34250109752981,39.07465596515471,36.306897079329865,36.9349722419041,37.258655349617655,34.78517411413577,32.909454557960686,32.32557888928264,31.006754416611173,27.816846335038317,27.215511289298025,26.311008106740857,23.30540668670006,22.259598997102547,25.94325517450344,23.897824156929435,19.44354483313817,23.10874680732907,26.564197237901435,27.73084781314284,30.816774631496827,31.069504225464165,35.35721452638989,33.656205392172964,29.807172930728363,34.20100991869363,36.057670688422846,33.36768035751125,33.76590923197484,39.3126600338746,38.536056119884016,34.74496611697518,37.911120325266715,41.98441216361291,40.5940665522424,37.707071621404076,33.50570574812103,37.98374990427259,34.604124857669866,32.61798094898211,28.524150246945094,26.760794329719243,22.129692751718853,24.853572268925326,27.14693415503143,31.024236712682512,31.49105002403293,30.5242439854784,27.225602930736606,29.311422234986022,25.889629293676844,22.326238051540212,23.467576877675526,22.99638795321894,20.908414057923117,19.547824326903747,18.344794438449743,16.45223895431356,15.179276188398234,13.935114282206627,13.809708638363833,12.161192157496924,11.226708906304797,11.424335151830846,13.34395591665613],[9.766315771301883,11.853775387888135,15.405664010311753,14.68999955573689,18.816088629096427,13.351733818128825,15.978596922048432,16.851355482867067,15.513733880247791,19.461364474698602,20.50224822729157,21.098006004617456,24.248552650058986,23.256961239370433,26.850743621465593,28.567989649817353,29.258274399771025,33.59354717939688,37.200351627469814,39.29722198919901,42.96438100055201,46.485503769795024,47.96851786167627,47.74875352368466,44.62420375824461,40.596528459180014,38.4135202008091,34.2107118188428,33.63141347682516,31.75313674651841,33.9244383860588,32.30170038168764,34.629211799836675,39.100883572402424,37.88284363078525,37.476823868056314,35.968525246516506,38.55971353863928,39.11186738408175,44.694911178183006,42.82014105914439,43.33853712597323,47.64356187005172,47.83635704409341,49.88604763310357,49.24411646815598,53.353415131750886,52.1114059851189,48.15442643809031,52.90460644733496,54.67172312287986,54.84063587567556,55.49148727450254,49.86291875173286,52.81836593344511,55.27061944944436,52.04574964019068,50.46592027982576,54.72352762442265,56.9437119013355,52.622422192205605,52.45607037322142,49.56615634741687,52.15385825085037,50.570750846735876,46.435662725316654,44.03600090456238,40.14206900884736,38.18035164347941,34.73966357476616,34.73343031482112,36.77077502193608,37.69739663524656,41.93606027646296,40.01043339812097,45.763140563029914,45.24816686745344,46.807932890544066,46.28609534269205,48.14921171882667,45.39375301687968,45.65797617061417,42.487169362833455,44.121706292868225,41.87837941499504,39.8761818641918,42.209523300220475,41.23734224798491,41.862333826163486,43.080204104645446,41.092237130146195,43.40837476714442,39.45504765718798,36.50490753397462,32.09986952964898,31.471020783749616,27.615186108130114,29.354942437746793,26.32541327815972,25.754950859900095,30.00548848139664,28.51525470662963,32.39415905868392,30.345632087192566,34.76711620763715,30.376850363741475,32.38018037134524,32.90592443802626,28.83387683845305,27.411295341570227,23.37626246844873,25.162214780303966,21.49427766811369,24.38666713113746,24.60391812879337,26.569088552327273,29.65095888979341,32.23932002905416,35.453921203137014,32.208994048298024,29.91623278098624,26.460572227257604,26.01746753333515,23.290968986686927,20.06310461031513,23.24566805262794,20.108109519376374,24.792755210388016,26.973782886165882,31.16706250528258,31.927371662876045,35.15439046290672,37.48313401736877,36.87329735279412,34.94490544268942,31.50308136891112,30.002765769823526,30.16714536237357,30.162333285513498,31.676060646520366,35.112529880924406,39.11006363277189,36.742133176272965,34.03676029732188,36.22416195757194,33.26505930165383,30.669274063245222,28.148211958437862,26.77081940027675,22.55702677548158,22.23204426436352,19.363754586027525,22.34679826921036,19.074359857025406,21.420109383273886,24.059637163472768,24.10851603047919,25.37328820897646,27.68434630116581,28.531420281055844,30.947482503175397,33.72113909962253,34.45258238021313,38.01693983373433,39.2968503879903,39.252380336546025,40.601545786489794,43.60130827474504,40.7879228486306,37.809892579213006,36.615187247830065,34.741338684031334,36.292198720533015,36.56705091748719,36.31270143690126,35.493736316872024,33.76758277662722,37.82387302198624,39.48201668955988,39.73908819287409,40.883053355367004,35.51092667836695,40.506551417147044,43.620369179653146,41.68180638306688,44.90893171796691,44.00410597813827,48.85329341657469,48.16174925509146,48.69451465262557,49.679383230706605,46.25218196545776,45.10536146272856,42.166601765218225,41.66646740353902,41.083157748590665,36.46714679369479,36.235902815991786,33.034418910195704,30.310934690663828,31.751773663817403,28.76334556726035,26.12835306865431,27.57403059630564,28.062454723119522,23.36781595837206,22.987085336662016,25.463045442343955,24.18595248717366,19.289606768004326,21.13801948067479,22.23703385693257,17.897291908612303,17.02557490942172,21.155970521124505,22.972064023582085,25.826583967558193,29.60393863864252,28.816764312219053,30.31285028001312,35.44141012116163,37.39342693009192,40.31527597963866,40.13469451006963,39.21166513128514,41.40208089878109,39.14915900470385,43.92527845710637,43.09150983225273,37.795153979351895,40.54721699624353,44.733796925730566,41.2875400840561,39.329900801460646,43.03040193345253,43.93912044080435,39.84312190729649,39.41901116466005,35.02553791875855,36.10992645884952,38.137202565738,35.72381855798291,36.62837274494448,37.419449013216344,34.82674851872575,32.54870044771844,32.47459842666577,31.46580021234869,27.843483010359318,27.162496670903597,26.894486652970937,24.001622337669712,22.4502268702934,26.50775216121118,24.93722562949026,20.29862973554291,23.600442879378136,27.30256896491198,28.00275883085002,31.122817124140543,31.113343759114873,35.354489634875854,33.66225924974438,29.364608440719344,33.699407136288514,35.51830468042042,32.6538234602203,32.69704017022288,38.41901520616832,37.51056186700035,33.372974121742125,36.46918703548018,40.70807798441497,39.159751144053025,36.040584358089546,31.665223714962643,36.1048002458073,32.500072075964574,30.95988317176512,26.54316468314833,25.054291727475587,20.25758838017557,22.534311971430974,24.838136955608505,28.707742562396202,29.2093024075725,28.65911871182683,25.14383878100785,27.488979223929785,23.787920368067912,20.639100817297486,22.474886230855596,22.52504677870733,20.605698458720934,18.428920251317678,17.62694610209423,16.5090904949817,14.353576716178784,12.574080909213817,13.668225835698502,12.956600699099537,11.937012339857116,12.388052726281503,14.148289686425292],[12.241434879753136,14.655867902111403,18.60449464647878,17.41754392028253,21.944719050061114,16.71654904011761,19.09167288697555,20.06410242389714,18.112205135920572,21.685679848892974,22.36927522936929,23.22403679386769,26.535679524074776,25.010262241338253,28.519647417148306,30.565265594105256,31.29175921940511,35.44085132156913,38.868086722142316,41.29344937566522,44.79211785978394,48.500171944011626,49.79111749600536,49.579237706165806,46.64721134296853,42.48594752631157,40.58889403977709,36.38705279446694,35.83204088436653,34.11632149091425,35.73137885438699,34.57281553165287,36.678168976132476,41.068065412901746,40.110487544624334,39.6622956615921,38.50022387109348,41.01571147214694,41.66814971670541,47.443184010194685,45.35215531376155,45.620027845749554,49.98401919117642,50.31719902820232,52.31802446425037,51.832104960657375,55.92374086873836,54.67366536959531,50.895514936511006,55.74424508395922,57.46961968527056,57.76936015579578,58.30207741418956,52.67015850254049,55.59538659798296,57.921116523598776,54.56111736556509,52.99109308585613,57.222276487018505,59.37122670279359,54.882478258104406,54.523455624553606,51.55239870388425,53.94351452464423,52.53756616985871,48.476582014528624,45.702027900136294,41.838925536990054,39.55132155996539,36.025464971105755,35.81744214046892,37.51481998499029,38.70889305875204,43.125741893406975,41.47937996935842,47.217557818714056,47.078462203124815,48.66886473330383,48.40910467581144,50.465004947889746,47.93880761732373,48.39774156753115,45.40676118494873,47.16883516523858,44.80334586150678,42.67374633767179,44.730991265593296,43.79177463713855,44.06252880348268,45.15517324491797,42.90111080054002,44.90519951430061,40.91605523000348,38.07113107806705,33.734594051721984,32.75053578365946,28.96976365816466,31.24531362343871,28.47687474280372,28.132846305598775,32.567240443368284,31.533338951868977,35.359702336856,33.65428340050754,38.205676175197105,33.889185942869986,36.025229149971175,36.55221533789403,32.48236973954499,31.065947339930645,26.970297929780276,28.518545404165597,24.646917472431777,27.280452768518362,27.05664250000879,28.86372907263114,31.763078356480904,34.202103314358304,37.11834126860114,33.945157334706025,31.483881887724408,28.178646997712267,27.81790661198059,25.412238067796345,22.530681764921443,26.06895226227879,23.412689772448754,28.079376673961555,30.413632923155507,34.654670817594216,35.37171619121968,38.7183824082575,40.92432859997743,40.3772624210993,38.261541388036335,34.70086419580398,33.128002311045314,32.992943113934814,32.67510677421495,34.3119736084526,37.3556650061935,41.323323351224055,38.94049214653294,36.43899928392308,38.74416378741791,35.788820501760966,33.2441001225977,30.88481654670854,29.793677874397915,25.55276758639236,25.55160333800573,22.441309788703848,25.502345293655374,21.83862029278683,23.93493244053161,26.86186242025487,26.88882572569639,28.5133774167499,30.57386871185985,31.78591026499172,34.04588842980667,36.565497839725104,37.239408637329355,40.870315647022665,42.2583812352366,42.030013751217496,43.62676400685377,46.521995467144166,43.76493491243928,40.655931174107145,39.64374894510546,37.67702606587141,39.39299504977706,39.71402200343501,39.422028393190416,38.689099920016275,36.71404448609584,40.90152220656955,42.566257477102745,42.98631944676298,44.10424483370209,38.881539548923705,43.92481034529398,47.01141001359106,44.960313892814625,48.02436410259061,46.919964889994354,51.83741187314537,50.99517003993637,51.74644032759803,52.780731529996224,49.43652404927749,48.357421636751084,45.47029662677748,45.049107940531165,44.490229275443006,39.82395254060638,39.726916946683716,36.48929762068537,33.90293939201619,35.32781044794849,32.431568347649154,29.760792054804547,31.026511099731934,31.556708627713817,26.916751530151732,26.2438352555904,28.689199243727792,27.515677774696787,22.534132354101814,24.076610673565742,25.091958811568485,20.86582400811587,19.684250275450488,23.473487819202134,25.445622026795874,28.261518536301736,32.07143300651994,31.628633796181308,33.080810735270525,38.31745111294772,40.08315739546989,43.229601625990576,43.25844940112999,42.507151446538586,44.81638611122777,42.70067514952552,47.46436654769122,46.49522060310034,41.25732787830137,44.11740430509062,48.20646949407862,44.6646830197747,42.80167507431049,46.54323420802652,47.26200977405712,43.10279883052252,42.818610468111665,38.45667908514357,39.73571303381452,41.78690214613927,39.359218874624354,40.321011154973206,41.039509784921734,38.51364329733162,36.249087217328324,36.047590585179876,35.04218802438901,31.518828637280116,30.746586054272317,30.33307245920036,27.43483299492139,25.89461065693919,29.74869772082166,28.0207194674401,23.369985089640096,26.564808149152984,30.17815565785567,31.01534099952325,34.30436102839641,34.51776671266176,38.70957892596621,36.782976589027335,32.609330219678846,37.077880846271356,38.69037662954872,35.734937390051996,35.96491253466401,41.63942209882697,40.46056806699115,36.3556119818156,39.637279259318795,43.75199366043801,41.960684134668696,38.826622227640186,34.35949723659433,38.545626783513,34.73592328046014,33.19896057545698,28.83420792198224,27.7803241925292,23.03407089458812,24.85990529157938,27.428372625963913,31.23412896811637,32.024437531468685,31.772203223484368,28.393332633728555,30.943256360742858,27.179465990734816,24.176394126093626,26.19381080004935,26.23686793441532,24.31501025009907,22.141769320839956,21.274109749261687,20.1490080324969,18.05595731026755,16.198746177449145,17.103678031498543,16.32648377818656,15.348882810158806,15.586411935158742,17.176112473271687],[15.126619999087206,16.747680695591455,19.916341693025522,17.559372952230778,21.62380625080204,16.18078238917935,17.60498026707788,18.603309070862004,15.665279575409647,18.59567409555594,18.92973288047257,20.262447446355136,23.442266858716277,21.35899280532927,24.818297593966083,27.147628360715217,27.824708080932073,31.75908906762387,35.032776853309116,37.71802582985708,41.060802289230175,44.92379332428758,46.0717444896322,45.94727290792562,43.174099489981614,38.902919795707945,37.27139448246169,33.07515756548915,32.49601421764378,31.013067055890808,32.12928474201633,31.543349227893366,33.5834661630717,37.770483051976775,36.94948448612067,36.332724344059166,35.61444390346282,37.93688663175166,38.73365035586253,44.73539571513059,42.44174518288124,42.34512294747474,46.742911924703456,47.282782045996406,49.29640634132997,49.087221870191414,53.13275791816831,51.76254290160543,48.258881583331416,53.289724309044885,54.850991978193925,55.34099321399947,55.657130922761986,50.04616519495775,52.91008745542961,55.02331362764993,51.497204827236644,49.960065660106665,54.15107279947212,56.17983425872488,51.50965943725071,50.970569592903544,47.961792251434204,50.1367338879173,48.8784541939604,44.904848482696046,41.81316157155427,37.997247574627444,35.4749832321649,31.91844484471265,31.58353589422159,33.11118529751554,34.44748801154509,38.93376879798073,37.513715099736125,43.276825641610245,43.37975955889388,45.093692229241434,45.024597585738476,47.224125543633996,45.01753463661033,45.68157601834235,43.03347178267474,44.9496571604882,42.38193200493335,40.06474965631265,41.71896729504788,40.91486170004905,40.71566454771751,41.83511161559994,39.29245604182081,41.10929628640062,37.14893998434338,34.495123822419416,30.14996820303763,29.035496760987577,25.212282259349827,28.083274220424112,25.643328738560324,26.052933273777366,30.17253784378449,29.936002607867433,33.32657156310949,32.300377655613424,36.99002550867606,32.91817004001163,35.58810392524314,36.218058651765716,32.35925752036076,30.740242479044106,26.504137797054813,27.238820597930427,22.954173325243477,25.178654862552076,24.207546654846013,25.95789905387516,28.511657127561282,30.95977379062417,33.42254564102677,30.2223743606619,27.711593139806997,24.554399682943,24.537652079429506,22.470676253035652,20.03123686064825,24.20609005546259,22.506440200813852,26.96602296327909,29.692977660761954,33.7879202653661,34.89845938407494,38.42551553565094,40.202053187553744,39.490218129403814,37.1547424098342,33.286218419846314,32.122076879996854,31.29822448791704,30.570479333795163,32.019668879321586,34.71538030351761,38.43414344509128,35.8559672504249,33.59844100298964,35.91251054217603,32.882099338355474,30.48579910520085,28.306267461517653,27.69860582652771,23.488119127506238,24.23369029570016,20.95179768617674,24.602658740447556,21.166587566412666,22.369097824750597,25.192503650285133,24.760867486902164,26.908027968735723,28.334213272782783,30.143746743328194,32.0798178137952,34.0836948010427,34.828205797359836,38.427040129030125,40.14307567688474,39.94115003034645,41.94592941302825,44.865185912616774,42.431193020060576,39.0567462422022,38.18400725488231,35.84191152666506,37.56176814163831,37.81706651861473,37.37996894817536,36.842608197256155,34.436062380993725,38.91412866406053,40.456943176699966,41.218729924278755,42.27654215512848,37.45627506263535,42.65673999329446,45.72156549858242,43.44800321355083,46.05381286592298,44.56453878965894,49.61382544492379,48.70615897034152,49.84010254328757,51.11720523872288,47.865737115817,47.13374147228262,44.46349676424538,44.356033603816904,44.17712433164268,39.540821238291144,39.833877266071426,36.96044435480027,34.302216759083336,36.36335923616876,33.459253818778194,30.478987960719266,32.22615441724471,33.204150891913265,28.4521599318351,27.63503998668825,30.666281152973013,29.82943732953692,24.669417375562414,26.481051833955796,27.97085852227623,23.740802170921086,22.403941674630254,26.585214652558957,28.123328837601083,31.473289351335158,34.613666554461105,34.11041185627895,35.928462637974924,41.03441898119552,43.18652973060305,45.99658320496806,45.88433403718275,44.77332403977889,46.888669336625036,44.40703946092291,49.106770858503054,48.39018793417645,42.85345832980022,45.423968437844124,49.61267752559632,46.08407204614295,43.88815429679781,47.38331399566608,48.3222686336704,44.18604805967844,43.277622985607664,39.32416008342122,40.28136039974638,42.64002711146525,40.64571310867542,41.46984774145772,42.57709838216249,39.61543074402048,37.362958316945466,37.818757184361644,36.642344195845304,32.784980119511665,32.50832959250885,32.48530629362249,29.549499184237142,28.11337377460247,32.38277861960312,30.874997803487354,26.285739927935044,29.622754041440064,33.364243074658404,33.95201250115856,36.9998664364562,36.74811567806911,41.00294628844099,39.466046705265036,34.92519492839961,39.0971058172962,41.00494050482362,38.069363274416304,37.73573540350787,43.59103005908197,42.655345377677904,38.20873547612363,41.11836561538773,45.56023232446968,43.888584567393714,40.525568146440236,35.98565440311926,40.28507650931759,36.36369179581095,35.41345251729765,30.69035481045959,29.655507584697826,24.77443799944608,26.301322022835095,28.59406854067904,32.362976382703025,32.86395652573761,32.87801511829478,28.90126392359862,31.2531216371807,26.980311190638332,24.706425027092685,26.71410887385683,27.358517478267025,24.944219613153276,22.565186022138864,22.718147583816645,21.703445229403858,18.41425856634288,17.396428939288594,19.397424223882453,18.541441027082833,16.92584300598981,16.684373289368573,17.734513912581512],[13.143479184854625,14.234726035851065,16.998974089149335,14.41218559977127,18.360988954532615,13.033054917307265,14.570246213688678,15.96583933466367,13.331356774617749,16.37182536680559,17.255964024244157,18.74292962547053,21.42874412719501,19.556380992191013,23.39925474375719,25.496482631709863,25.842821512646154,29.98222931100197,33.22598431968081,35.7368708520491,39.157242753364955,42.89216429829475,44.09879432603,43.84585019105545,40.95741379263057,36.77169465665583,34.96868529665288,30.796763894792605,30.41807330411436,29.00201036502816,30.725883336978303,29.90593633522769,32.30726745286596,36.48830629120801,35.31905438704192,34.52997223306058,33.606400137981275,35.725198101364384,36.315892613314546,42.23580667019619,39.898413789415926,40.077390787423795,44.48427146764561,44.851580012679996,46.79279013944295,46.41314160249809,50.49667304525723,49.248093881710226,45.60061368913161,50.54277962851293,52.25805069367141,52.72187775545897,53.19319693775829,47.57546676764696,50.57091650654132,52.72276061555731,49.24457215946692,47.82335014528787,52.09414290456793,54.05256857621848,49.473201870015124,49.19582177194508,46.330271566428905,48.53604517373586,47.04392167991722,43.052910749209055,40.172105214101435,36.4229451082845,34.02556046008396,30.65775402567808,30.353365895465654,32.208229434195154,33.491183468175294,37.782899470295945,36.27483231518347,42.16933123121513,41.892087398061946,43.75235468137482,43.399855675485355,45.36133279199185,43.039434924320766,43.43171807383618,40.752611560514566,42.423586974719285,39.81285218195646,37.7093073049169,39.5490578016485,38.93379556644625,38.901194402929896,40.36938333918773,37.96141737795088,40.11237807901776,36.21466652653277,33.56787366553758,29.06452349245481,28.35696356594616,24.33327813207988,26.947143902298272,24.312286083245027,24.842149920678008,28.53466064164716,27.998926988524502,31.213585056608515,29.91355749555394,34.339258717966985,30.1241943509309,32.78608140528907,33.23229917498228,29.32290583360704,27.867219634461257,23.518296586277863,24.27470890461656,20.06606686244949,22.256897754571956,21.634204064214227,23.31025116432759,26.115166726315813,28.51126833121469,31.365948414061844,28.267868892489933,25.742848247221843,22.455330408621606,22.10909503200529,19.812632522088652,17.161768485058907,21.115983640473043,19.33124148743614,23.813149558290434,26.535804452392163,30.723246491867346,31.690680346037936,35.27921549386487,37.0238231020472,36.43970143415438,33.99578345991641,30.166201962571716,28.883161727719393,28.163978115753576,27.555208961733033,29.07570341094181,31.926159748672166,35.77108978788281,33.31526623313734,30.92447946380693,33.28841119929972,30.397661014837425,27.863583156454673,25.745040905519733,25.028604670521172,20.91699443736566,21.684951480898185,18.82793768634327,22.730779519562432,19.92222698125721,21.15773106374391,23.53980427985015,22.834300066300003,24.665770548952917,26.09740408108594,27.502680221085264,29.260414457376655,31.50217139082741,32.01751671797654,35.71605751388735,37.224852775726085,36.93579020792778,38.84237117434852,41.739468207062515,39.236863967314534,35.91034656269312,35.0163133977338,32.76958677218303,34.572932309279444,34.94981545267993,34.68521356805101,34.27086612921699,32.078878334333915,36.62075981349025,37.944203215365555,38.62301449510913,39.48030170581717,34.58822966717842,39.686504919782124,42.700341877881534,40.42158573529696,43.16477976515215,41.80323933547523,46.7854819808866,45.816816299250426,46.84404461669857,48.034159332358186,44.78993208959481,43.968760881201106,41.26859578139105,41.138294529797655,40.937403015908366,36.28783913764814,36.63077774836074,33.78474798398675,31.189341118302114,33.36868838151723,30.57682441714805,27.464679460643165,29.227942943439448,30.40927886101173,25.666951668215066,24.68005086422624,27.926578159188516,27.369330612840557,22.0677969326813,23.961538854102383,25.73092603325911,21.591319878986024,20.123308585169696,24.523478474564477,25.777642955867922,29.416383798175236,32.15910900795233,31.575017595200148,33.59289562388567,38.60161180577864,41.006671507470045,43.591894448145034,43.46481523316567,42.18842360513665,44.27436860532273,41.71156681691588,46.335138580495446,45.630682505599076,39.98612045023931,42.51006245754417,46.65977820468234,43.10224567408683,40.83713916790236,44.28583234136376,45.223555143102345,41.09235008706678,40.07960594519239,36.21104097928642,37.20690139222001,39.65644023739327,37.81934485448435,38.75217650179583,40.08593498660445,37.09050961088473,34.64694046826358,35.360664789634804,34.3572060912156,30.301647361813483,30.002442266484884,30.328543653473844,27.486581383268604,25.830721989151602,30.293614791519214,29.086470956187746,24.48763694599598,27.667026032768362,31.509181891173483,31.82381873537309,34.774405415590756,34.31050558443355,38.5305318398229,37.11800729820228,32.368708583063466,36.41420058616817,38.38967424066582,35.45100733102796,34.88015014655537,40.78863328334254,39.943713739300634,35.37182528436605,38.139213640132226,42.68429114682742,41.087892942705885,37.66142153626371,33.13352029579787,37.532189347769524,33.66534753951462,32.89755632534745,28.056304645049167,26.904254187827686,22.00011256046013,23.553715351572695,25.671597938083213,29.440229643668616,29.79170787809276,29.816239692301355,25.718205031268056,28.066835276736455,23.752360108396154,21.611311843559044,23.835340375175853,24.695910389703332,22.43789777410059,19.704362087002107,20.057833128048294,19.426197660340097,15.822047374498895,14.633239791324979,17.201625014075386,16.791887189001805,15.201600565659316,15.221935826642444,16.289827931024856],[16.29443355445429,16.704868222762208,18.77971405682005,14.944613350379713,18.506455562613304,13.844544835587678,14.375369955520469,16.270584189452826,12.804490767650544,14.62949211762084,15.459414953656168,17.8446078337948,19.783522287435865,17.073418476540848,21.18475601800127,23.561749582756594,23.43048943793313,27.341344848759636,30.131115231629874,33.0056754182153,36.15507545839668,40.04284169626705,40.96763734014489,40.629263196935995,37.97460675055557,33.687449933636344,32.25196952357054,28.181968222466057,28.0954283514175,27.200506327208686,28.61329181563909,28.53864460942146,31.0536039889714,34.8903315568568,33.69488752998444,32.497185129203906,32.09463800787831,33.65873885972413,34.20735328148565,40.3545757100981,37.571869899775244,37.51130264156132,41.98547833845693,42.45769701401386,44.24345782535117,44.05511609335497,48.09719693440957,46.90505882670087,43.5317582227193,48.57743205726902,50.29543705042969,51.0195263618346,51.379042087884336,45.80809425075317,48.86782078103856,50.73987118221381,47.05944999443109,45.83725894563687,50.115679432837204,51.7925697546964,47.02316812321475,46.719147082669245,43.93829702786887,45.75923432032341,44.29857906899887,40.47617490753887,37.18672755395893,33.64455385564496,30.835304638592,27.641001576906437,27.006343447420754,28.716490589407595,30.384278729548765,34.64519247974331,33.573505447232414,39.592761068539104,39.457083748669426,41.633700325939515,41.37245438574799,43.34359029015599,41.4180939856384,41.84278313577192,39.63253181384409,41.236413899432804,38.305020504711,36.2087771171918,37.618028160404734,37.40661438747877,36.79420246248982,38.58232648906729,35.831118705951724,37.8783359239282,34.09462022926111,31.785675780852195,27.23016038681405,26.55318173378464,22.411768230472305,25.767564204625742,23.540078645766403,25.051931241436606,28.049050219962737,28.261855057345112,30.788286227120256,30.067159162113683,34.318796494253384,30.28073511711519,33.40144452630429,33.70280000539393,29.97223194435624,28.60101000892064,24.097867368315036,24.00223421952024,19.530403708853587,20.933497987192407,19.61623099580023,20.871668618824987,23.40327669242533,25.496350202451584,28.065935742036405,25.22459416891214,22.45563082176426,19.395430880012217,19.015432844343675,17.224173282614814,15.293150720494468,19.740748029187333,19.260146834544813,23.380883371998888,26.469419863753867,30.59505524764896,31.62570089241782,35.47518676605101,36.70340188325774,36.219521335285904,33.321476113201875,29.248981989518818,28.10143020467392,26.63595028367575,25.484897423300314,27.043378730785406,29.276806779712377,32.98104029907214,30.53096591577268,28.459082179909757,30.997429864826422,28.286330784456695,25.81228756941796,24.184112619209728,24.08544777470498,20.26823698225025,21.95861636108221,19.387016676913397,23.887207473749513,21.68384245605769,22.042940198499196,24.016085731387868,22.630222945283087,24.786098281116928,25.40879467306422,27.13331163383191,28.189375629167888,29.97515066235805,30.1732105645006,33.986434576252854,35.599044622391425,35.020330883897905,37.387250685025684,40.127685147184856,37.89550597190433,34.31648245554474,33.72309770229385,31.225218964815816,33.28713460620951,33.808293207795906,33.60791337610611,33.60488770738611,31.111416905299237,36.02166110528842,36.960627210079046,37.97237762243027,38.49258518801686,34.06679158344918,39.131179948425654,41.99880432638716,39.448433883635005,41.78691309855579,40.06964367181071,45.09915618215829,43.84407608576252,45.27821786022902,46.59927014544457,43.557162987657584,42.98387945355559,40.50442706661759,40.67539689830403,40.76850615557307,36.14197118017558,36.964084032872094,34.42800720535623,32.030808144970365,34.73425091705096,32.18925931041975,28.756390121814903,30.663260273967015,32.375710520195355,27.706704222719488,26.22313810697398,29.977023954759073,30.0086659407451,24.495408031917115,26.344428693068892,28.57294371087844,24.66785553405856,22.79807677396158,27.27963631324284,28.09055575918755,32.261447033885446,34.16343884191842,33.75618563816921,36.156073452845966,41.02548405703204,43.77427723508052,46.078116496651205,46.02340610275267,44.48827047832963,46.50250803883486,43.74453997519551,48.19428708171006,47.56072054825438,41.691866926728736,44.03768627404352,48.089735754848775,44.45066639995607,41.98236059231871,45.20389176046072,46.11245634052255,41.98553091770238,40.5432140500408,37.1500110934145,38.12864142418745,40.89050354286358,39.53601191805264,40.53511707306268,42.299505504050266,39.064213850046116,36.463298754715204,37.766567768312726,36.84729717356151,32.50663334778953,32.425791667429706,33.223538128688645,30.480566886181183,28.702602189138638,33.388594946142156,32.48995267557806,27.94584313898418,30.94875516874038,34.86610368602764,34.86805927322503,37.686237135284145,36.90054710324604,41.04692573188316,39.82836367654778,34.77658039866112,38.56667755704049,40.61182500181307,37.63269734131036,36.60150746117453,42.58517884508315,41.771668407516444,36.90854764233722,39.393529811117666,44.1218519342783,42.48665910021128,38.852472399312774,34.26788084248572,38.561582609504406,34.54247510227505,34.40502681948384,29.32424700625546,28.468047799289547,23.629259495738747,24.563434685884555,26.469359589766864,30.055850327107837,30.29050973239556,30.796456349125194,26.36645570155591,28.699763787440787,24.035988192472757,22.780108148586432,25.31797871291588,26.76256440073297,24.42299678544989,21.291135888556216,22.399917301705177,22.211299958174735,17.84177131407345,16.971249391997876,20.36188955889014,20.26086497377405,18.48065994818313,18.351075354823145,18.98231776601685],[17.36796551086337,17.259454774180075,18.99878094623752,14.265304725175172,17.910376003278575,14.52744576430122,14.859722901484774,17.589199357148264,14.271073117816542,15.202728557619693,16.501444257906623,19.52657551547673,20.43089908703608,17.272362320271927,21.826642649228557,24.19110042770779,23.289967897055476,27.091405428463286,29.263147387558934,32.3473976740257,35.22463181065227,39.11420544308571,39.742482258146076,39.10283047675696,36.637745615300915,32.37189423514409,31.19316177354341,27.340137545289753,27.83975762369561,27.520497472598336,29.178029043201597,29.515418282230037,32.33614659770501,35.866182706081,34.402931694227476,32.73243298685118,32.57038093550682,33.4154667295874,33.64763278498047,39.84152045899306,36.551671610954976,36.63375131871007,41.16023532268337,41.497580461886606,42.96704469621368,42.70125101715561,46.73518380118805,45.8369628073559,42.55144792590037,47.508006793010665,49.482624108936896,50.405627999708045,50.887657264168524,45.379510539265226,48.64849051381869,50.320862864450824,46.52882801153745,45.63348897495092,49.98131753515186,51.31129646865928,46.48404787714416,46.42373854471998,43.876363741856906,45.31780713970286,43.678776725609005,40.050503848673216,36.54401841083358,33.34005965844778,30.19434672609274,27.420576600834227,26.40509849015965,28.11638653712946,30.22354665357003,34.25747802740344,33.62237329011221,39.78938757564427,39.514021327877614,42.072007715816056,41.66978487898444,43.4192806907553,41.731043625024235,41.88951449484255,40.01939482994392,41.258624853803944,38.041632864186155,36.256903417988205,37.504064303969486,37.82927064961135,36.89820630538558,39.23442692177826,36.326778127305424,38.48352806950468,34.88156520764655,32.887100823131114,28.273773289768197,27.86367513662099,23.6220966596093,27.28895731060657,25.24590922811386,27.31661420332815,29.603206993049557,29.945282366090353,31.909956725194306,31.208569060853424,34.971341967189964,30.862388798920488,34.09396357669482,33.98426227752694,30.243110568077764,29.29064543853693,24.623782947676048,24.190556752788975,19.838241229513642,20.492808845857116,19.183834305743336,19.730333994156016,22.328042847985298,23.79530468115708,26.59142215210072,24.327963979962195,21.23525376095983,18.411675296604102,17.31537829408687,15.907772881564686,14.556522991465238,18.793887066262737,19.164776397718786,23.01478763015778,26.227579317408548,30.501627021898237,31.09180440477879,35.20789782107277,36.09523108131888,36.032123527912184,32.59122465497046,28.501995463784958,26.975783405245338,25.16389039086629,23.643000644285287,25.588937727689547,27.221313592922314,31.06453888862972,28.963004670672003,27.096469116100785,29.939111867418976,27.704026090294107,25.10823524420447,24.09628649620987,24.334525419346022,20.974839324799362,23.1455922566638,21.251569439899818,26.05359592053118,24.511376647902004,24.641527042002114,26.113505167678785,24.220638665825838,26.180385848782276,26.347938006784837,27.731607817875197,28.01184131397037,29.778176779058935,29.26901933676324,33.345193303287616,34.63432660898353,33.46895061929243,36.07784545710487,38.49785586265237,36.283345930017646,32.61223569359599,32.36799290654346,29.965459090833853,32.51323608305847,33.40723327656026,33.55168911584236,34.009709840859045,31.62241864173632,36.77700465727889,37.19038716152504,38.3012693595805,38.284722721304156,34.101490179570185,38.89414783666291,41.53267348733611,38.793906470810136,41.07165171400525,39.27984605694647,44.19391438068213,42.501856970348776,44.1188225423546,45.32582713102986,42.518008050240375,41.89531013416302,39.50265227456307,39.786814410908214,39.896512229122614,35.235964629322815,36.41863399997845,33.94758194046829,31.976824206536737,34.86345619604604,32.747327853577374,29.06246283760812,30.666958232378104,32.83996090298389,28.357935005719575,26.12630324196164,30.19730494145143,30.93122855932517,25.128977765689967,26.67537347251302,29.298404023766725,25.761060749489054,23.311439497142096,27.67223740192327,28.090600308356116,32.74481603118603,33.80312316777057,33.74242579419554,36.479390898698675,41.253033248217235,44.25430147601616,46.390115573679296,46.610378638855195,44.98011131801419,47.093371677376005,44.38038657802484,48.61472638599783,47.81150428652978,41.837388477354516,44.22099418858589,48.000324791132655,44.17469526464008,41.7170218928329,44.85146635822781,45.444099561370436,41.27050822644036,39.80757257844144,36.73660963204635,38.10012769897566,41.07087682537361,40.055126802447454,41.361215868706985,43.471072025457175,40.295478201971356,37.35076796147665,38.97074013387351,38.409723846841,33.874246103846204,33.600454867991644,34.85155205117193,32.29649002732887,30.13353764364123,34.86727855949219,34.323932418138774,29.75792018632389,32.32662508832941,36.299504560199175,35.95777104777548,38.79771762453455,37.90691625681132,41.88429276573468,40.59602201963116,35.33439558555442,39.017822945592776,40.88441265646573,37.79141639909564,36.532757188370994,42.499004720763125,41.479261141265,36.429019016907546,38.84158997421858,43.56611330381407,41.730362037934526,37.95454120810454,33.313158680627254,37.35185659786112,33.166352202493535,33.51968075786843,28.333623690699437,27.935401812042638,23.27264934389562,23.48698408864995,25.337100921856145,28.69765964018635,29.05282131626466,30.10162813889189,25.73662084572928,28.33619731725562,23.648449089649315,22.978800891799548,26.155069944597127,27.935645166457572,26.002877468205604,22.323119043742803,23.563940016176943,24.044860560667136,19.553944963154276,18.171618885282903,22.02132733255955,22.57645538827984,21.01229170187507,21.154907229711156,21.75004227468081],[19.96072306987295,19.203175218022384,19.833263257632126,14.710954009518233,16.98315819157241,14.041650375360465,13.124282878454352,15.90403024100313,12.284397530379925,11.9335006639172,13.390941376481296,16.98233933426387,16.93700366615144,13.42178590938925,18.197811813553265,20.50524889023791,19.15566682127609,22.85266750818119,24.827054796232282,27.951500883558026,30.76213359294864,34.65393452360406,35.25167100291258,34.626354959945594,32.16885723798876,27.886949434839075,26.786407276451982,22.982948047116174,23.640794046004007,23.659609233240058,25.38684576919618,26.056101259354175,29.07386115561299,32.312853189799526,30.676651322714505,28.717272452099202,28.79834971554253,29.258907612883988,29.462432086553157,35.732220542894794,32.295231459468205,32.24565473361273,36.77791957365174,37.17692567040403,38.641576419883506,38.513840022544684,42.5186488661099,41.55670088098649,38.41579105262312,43.45715990966281,45.34568199707183,46.38483435171804,46.772229710564204,41.31071797246279,44.578510210532826,46.10486052103844,42.24465069650825,41.44717340494747,45.788416681524254,46.98839165667689,42.11566414058647,42.10878418822956,39.65880957338781,40.97504463386208,39.27044643708626,35.7027801810505,32.163377428737135,29.071910312257646,25.892548022736175,23.321864784279626,22.247137619454,24.18021588826532,26.28471589793884,30.122800829087183,29.57316974873395,35.80978154919633,35.37374953161549,38.127408434650576,37.63497937502167,39.28694082696454,37.787568065411996,37.91356980641242,36.34449410595558,37.53042131051659,34.15465939329542,32.37715586834248,33.386480100564235,33.97979183665915,32.78999988388185,35.424867398239655,32.44557884238246,34.734424282826794,31.28453798978901,29.51412963161049,24.880611891899726,24.80904669657366,20.51327045967703,24.319551048823524,22.53775446175751,25.32196824041389,26.776585712618072,27.596815486112817,28.902539045717333,28.662189899954207,32.22158908854088,28.410463211798206,32.0166229951639,31.925424490258248,28.533380076258588,27.50165196824189,22.93134576322065,21.659071280139532,17.236432232121942,17.225533719199415,15.323156964687835,15.64302026298368,17.992694887453556,19.447502515998988,22.101541958796126,19.889424299469056,16.75266590368804,13.990179521608653,12.9795027675351,11.876854136889825,11.207354922169882,15.81619440111773,17.36584420657361,20.62980271622271,24.075861827019242,28.02327052593371,28.96970086442605,33.11474328858545,33.56296858634403,33.35644804979776,29.78732402022948,25.528274295505792,24.517558504681396,22.07341075323338,20.243254265435738,21.890991802623848,23.31793829622735,26.922388441734945,24.66004595084604,22.937500379543316,25.7665322064141,23.58401738737131,21.090174473712096,20.3954733540295,21.105725413259577,18.140492158678228,21.019057051404754,19.546126641894332,24.65738839934567,23.924137742676443,23.324450008155665,24.191434315930064,21.727902588451,23.787797805431882,23.273493199155833,24.85689977352785,24.63127002153895,25.980181407665484,25.399402984923242,29.425621033646216,30.906495119946168,29.821282477116668,32.708788176819894,35.17518719363427,33.298228871978644,29.46306587902183,29.285561916129332,26.56815927999959,29.054641466340932,29.914247031471415,30.018787448411814,30.74194064466781,28.171698175388634,33.510272845656424,33.638477312920195,34.984042756695075,34.79453800505934,31.04381361264298,35.82265880004855,38.38008759310622,35.49277570436702,37.38336070434465,35.34050279000052,40.29786605468673,38.58856596602509,40.45147048609383,41.84917442163082,39.12382432307455,38.814316328754224,36.65234827139219,37.21812587210372,37.70456507377546,33.210400032914315,34.71552659203344,32.722343930769696,30.712242676239473,34.14084504660401,32.09382066063433,28.274406916001887,30.339055730016952,32.83810536317705,28.46856362966024,26.343208455003815,30.746334738331093,31.7026283876282,26.126433379689633,27.93739608744037,30.82567926941746,27.42863108764918,25.18264931760901,29.727032483787646,29.739619827251083,34.59116798387801,35.10740198970147,34.79251699311554,37.74612306453281,42.216441120783415,45.55481044624436,47.250231901663945,47.233698303176105,45.24080199529096,47.07807683825155,44.03643652122371,48.1164681543518,47.62127327184151,41.48258298600638,43.48369981481414,47.31615663949327,43.63473686567956,40.86865477834404,43.66918757466382,44.562756060938966,40.54396118211615,38.416420555116865,35.8342078029105,36.75577853471492,39.94484254560251,39.396385137382985,40.54112080162867,43.013148437144004,39.5195048277813,36.62415389492985,38.866893688838026,38.22057719427513,33.49440653274959,33.67956920784583,35.31767164813231,32.864157896941855,30.846502228428996,35.79358286433986,35.52673787523578,31.20130623975439,33.796754571676836,37.763120545720376,37.1773541899555,39.653935302320164,38.29556817175109,42.22405128533072,41.41491523488426,35.95009662963192,39.179176677317635,41.35562628420428,38.42194314282767,36.600941512738345,42.578858985441244,41.96043001025294,36.739223057034195,38.618998936749946,43.5958447801282,42.06748441069476,38.20019012118284,33.710496894706566,37.88278522075975,33.88144534980468,34.71941602014915,29.423575527372876,28.78893930656909,24.285637681978955,24.478288463909767,25.76065886375117,28.93670299801937,28.78657462128209,29.875331801917184,25.045073669957514,27.18819973739331,22.240575153727143,22.436475953602315,25.383971050049862,27.68211529829868,25.520862671651617,21.801497904709922,23.947901328657792,24.594357074511922,19.465774176174055,18.948501229461435,23.38541798677775,23.93345937046625,22.098108071340032,22.036275024680005,22.195931466351713],[22.678168458382576,21.63019503610175,22.062024161389324,16.37447045233154,18.58947050390647,17.201743286999776,16.233952435887716,19.540914015778355,16.267165502642715,15.068070894608088,16.69424196395686,20.65745403261808,19.621263642010902,15.726611008635185,20.540976382837194,22.804050596216175,20.596566731834834,23.84684250994512,24.804694766726314,28.249919466073248,30.53515980713311,34.41891039596197,34.52312239931272,33.4997741648255,31.437546716204007,27.230865226744797,26.658867230361547,23.31252703655066,24.739048308059388,25.552479192302933,27.29010655850274,28.585005827259877,31.770688520519275,34.537986499210575,32.720474396068646,30.230495174770695,30.733053867795363,30.254825110506882,30.086764868330302,36.330133016069645,32.22445524990118,32.24934430451719,36.77474334119676,37.04698728107546,38.049027421504924,37.899235735680136,41.82021401718684,41.24484966705891,38.35561623713292,43.24487465257884,45.408355405159284,46.740273644984235,47.22442771786383,41.923239058128814,45.39550207616808,46.59804043377543,42.59693006089221,42.231167306896886,46.584832067988756,47.301686227674885,42.357714232925865,42.59098640855841,40.44976671074455,41.18229665240439,39.338894925499986,36.123027787248226,32.22689710598546,29.685782658718924,26.02375736087349,24.102202781867184,22.466987853211947,24.186587613100688,26.920178964011896,30.399269596171724,30.54888814292073,36.813207960115484,36.34387101222335,39.53228085351241,38.96803134855796,40.381849149172766,39.29177169255161,39.16127941933094,38.10867431608421,38.87689237968646,35.17929465033437,33.781778717902725,34.45292745336887,35.708289067192595,34.022187141536605,37.224992666639984,34.031595040522596,36.2899163488564,33.13573979896535,31.82754407618231,27.312344077909085,27.424517537714497,23.24305580227155,27.389161681280473,25.948357755067207,29.21728746725295,29.996929117657512,31.040229205574207,31.716715343726264,31.599368118337225,34.57213655192561,30.81271474605798,34.47861569391538,33.94261368813266,30.63321934323707,30.07948578598332,25.48820631015106,23.861804724757164,19.801866596147605,18.831608766972483,16.913639535944963,16.137566752471518,18.263781961840373,18.61162810238846,21.307097571128004,20.09614037713863,16.60157759467936,14.550494677552972,12.57662439516944,12.492782272983268,13.010107178923302,16.90614708649196,19.522560177487566,22.244564562301605,25.706820757248096,29.677106255618753,30.083889173338402,34.46132084969414,34.44185850304185,34.74769162492755,30.56373683458904,26.38393771370679,24.956984576204675,22.005163472762135,19.580750595892944,21.70196747763858,21.986504864856876,25.62919770787584,23.913955647764322,22.667869726395004,25.84945082707054,24.399889849461914,21.908047151626928,22.121240048120093,23.298610099176987,21.021078613857537,24.280236264160063,23.428230317688907,28.625889716225206,28.33316661118584,27.567709987100265,28.064724725467297,25.23019523839394,27.09997466684594,26.07826442110718,27.330232138208995,26.163333377578113,27.321114391095623,25.839996549143347,30.081124681769623,31.161105129656068,29.271716764937125,32.530007631474994,34.49093853836678,32.73470607158687,28.804017992027948,29.168289557237365,26.59865924164311,29.67997354482473,30.98850043100005,31.491594021872206,32.7701265326892,30.318677810777334,35.82760327817333,35.340125108511515,36.83070314889615,35.99684357922004,32.69823713376218,37.053686569167446,39.27251880246459,36.16823435040293,37.85902177463354,35.672993668674884,40.41723461733338,38.120299163250706,40.29257579077218,41.56052970691659,39.21192119241505,38.89640737020696,36.91939806055934,37.66040524622883,38.19259117742703,33.747630190931964,35.703061870674865,33.83972871238634,32.38994827428217,35.94696770848465,34.41355155526099,30.413697020205966,32.0666023831448,35.004334367464416,30.917758163780924,28.03196898214376,32.642974851892895,34.295940428835735,28.524109430602238,29.94073931173311,33.13525676136603,30.14359200939052,27.35830897603454,31.630864886138852,31.28521724397968,36.531403047387016,36.166168911504215,36.291489406252786,39.547606561920816,43.88700626273346,47.42794007112845,48.97233585588691,49.2873246837191,47.2408535873099,49.189952210149215,46.24826114200031,50.05426755413249,49.35582667548429,43.17543111693931,45.209888029929154,48.677743458310225,44.809593938566294,42.10236248903909,44.76341778591878,45.24868515257257,41.220694349066484,39.10340666784724,36.96944173443832,38.34061554024771,41.72180035865917,41.55184578147612,43.01885968948075,45.808583117590395,42.427135158986815,39.217302697247845,41.72139597151464,41.43997660846552,36.599986656676876,36.56101195062025,38.57678362371448,36.31282611655326,33.95427008509056,38.85332181748826,38.881261079427,34.545826558046684,36.70877050690695,40.683781527885124,39.801306502951896,42.31649279619223,40.91564577904418,44.62544345004814,43.70403088610813,38.109432945660956,41.21528237367088,43.13761740127716,40.10095701427185,38.09395006373811,43.96150403095837,43.07432721580963,37.722222490656584,39.5133703376371,44.39901374531793,42.61809101779727,38.63597281701454,34.150761722043086,37.89421054402685,33.736439718288516,35.15434795265925,29.868231446513054,29.842012044475275,25.67917878180445,24.99471342760202,26.19663131153509,28.97654474773548,29.01267612274553,30.773735363377185,26.18962500040942,28.59254341048256,23.796728135947426,24.638974030546695,28.16155221171159,30.699811349007675,28.980076935861074,24.870163349873373,26.990665160165346,28.188375848379998,23.168005271744182,22.138658905056577,26.737922773752537,27.79053365974074,26.1797558491214,26.328997356319988,26.517356856370103],[26.38454905519231,25.21263423505445,25.07260631265981,19.577888474229923,20.58271580331351,18.95265440408902,16.886138245463314,19.521190291519837,15.830342187494596,13.293550931905868,14.31987967781045,18.60404192848208,16.908351254049194,12.468994234681027,16.865525961259216,19.24947989342869,16.8390147596806,19.56257842526551,20.239931626223736,23.968707117774184,26.063975483460016,30.114696927257725,30.136552537163432,29.348138889218905,27.423084948003666,23.082083212605646,22.852585848528538,19.578605164645417,20.91211083164368,22.108729122520483,23.198545719579258,25.21417243121474,28.254807334339155,30.596568439901603,28.920313513450807,26.244807177147063,27.318551421613904,26.585709671206743,26.671271018649538,33.055739471419365,28.90930291218084,28.356100374261338,32.8493258238249,33.44640752224627,34.58202394960149,34.86713667214593,38.67846866979665,37.80467946439595,35.29933933316293,40.400385963092404,42.19954116315208,43.68299480339137,43.837548132686415,38.624722319744905,41.9008499617352,42.87423107247027,38.75233078836768,38.35373932283608,42.5887361257726,43.2413276287914,38.141097729661155,38.12886267318584,35.949481900997434,36.496060346584805,34.83970509222401,31.71597301923234,27.527995052616767,25.059700321683955,21.18337648490169,19.35113781482422,17.552959510056088,19.233025438750936,22.057075137998886,25.47580799664237,25.853213499579642,32.07727971939146,31.791607930730557,35.08670462513344,34.70384733864804,36.24999851367811,35.541101257012606,35.6933157030473,35.064255769466094,36.069391772392876,32.27755005977321,30.614727616791043,30.739858975070568,32.108345291325485,29.893585205063683,33.103015680018714,29.678352554643443,31.76773687961249,28.779360646669634,27.802291147942892,23.46946192138735,23.665137239284736,19.686700047119587,24.207186019720634,23.334416655485096,27.330463202171735,27.442059815139228,29.34925774259428,29.394455462549892,30.136865446259076,33.15368252282572,29.977091596237216,34.04850727082427,33.81622585369389,31.017455820499404,30.10960918834832,25.839623889751472,23.342092164508824,19.246918261432654,17.729762793724017,14.657140685849903,13.782935512974706,14.923773924065483,15.385357505867837,17.074341300603074,15.782994906289701,12.27919520648886,10.729746367599411,9.742044348181306,10.715236463632301,12.415191154021839,16.676139998342094,20.294640472019854,22.317790309509576,25.918480791759166,29.265948799880945,30.391784777709525,34.596555116763426,34.15090766763386,34.01623736547351,30.000710776912467,25.660143444552766,25.20645785762708,21.539025671665254,18.777731243489857,20.121374142280793,20.017277164883602,22.941760747137216,20.74534909395202,19.92625496562934,22.874673058731464,21.277858659152127,19.227376975647363,19.73153528180365,21.5853868871679,19.71568411535579,23.597794482998605,22.764237136085335,27.997123740311377,28.102581385907754,26.50728490468113,26.657005219132348,23.464361705524368,25.728088710510303,23.918634201525016,25.867577473938372,24.409961185024102,24.67589039951471,23.5436944900395,27.439067189225504,29.100154330764635,27.626395055459696,31.26402873356478,33.375135170996735,32.198081535958174,28.10766246681241,28.465424618227544,25.384090548404103,28.06729139619928,29.073374916396084,29.247723620064065,30.654190979921523,27.74558496268099,33.33367427730876,32.76796477350484,34.63632475509471,33.891241988596704,31.250010727688743,35.697490297872754,37.89049293025451,34.67340388969571,35.663250279038586,33.0119544284582,37.871826906692306,35.74498098039269,38.32764039199526,39.97921225633517,37.70502413512916,37.936140492512415,36.30574815554707,37.40284454748235,38.43881312211956,34.29015161516773,36.45620342245432,35.14695624879814,33.45894606802963,37.47439113901183,35.79388688124094,31.83861521154292,34.100951879304084,37.08952240190361,33.037967281329955,30.659623605127138,35.37104673201023,36.837920791521384,31.426884919461695,33.198974243844766,36.39280581678274,33.30687414751098,30.952386683886992,35.42053752151517,34.98185899030294,40.14446148122041,39.763584544975544,39.53640919245455,42.79986685108554,46.926412986047495,50.622951574114026,51.86953535137457,51.829847441912136,49.49943305286022,51.11577127536365,47.82474735601322,51.56613342187349,51.283999056595235,45.02161143574115,46.61863169940424,50.26141600500321,46.65974061461512,43.63802251124784,45.94348013912487,46.90523649812715,43.09762992712476,40.27392828789253,38.56427392957211,39.23237692204717,42.72342208036,42.88766356915671,43.98497147836963,46.94174392992905,43.187266034484715,40.27899548389293,43.2345005313209,42.63106561919225,37.753828121993806,38.307682178061505,40.40054698125745,38.12093006557145,36.151565629857274,41.19085335902743,41.235528865383394,37.122144680065766,39.564619789662395,43.49777815936891,42.61436896104353,44.80001228261962,43.037102898097345,46.78154222045512,46.342598353776125,40.69792802256198,43.42654892673251,45.72214377921643,42.89676530549867,40.496428606129925,46.349781963695094,45.93324292797394,40.53730031811289,41.84648102198051,46.944607838714006,45.541201945460685,41.557499677945245,37.2621285196284,41.18244391463115,37.265439399439714,38.882946847559694,33.57981102656671,33.18663833495633,29.0862105424242,28.696300069367105,29.473855439623428,32.15151104043592,31.691787641676754,33.24701941241578,28.250202763469545,30.008191447892532,25.038562532173962,26.456904150518824,29.327538361065088,32.164553535061,29.960956752276072,26.227658710556366,29.097534639025454,30.023334262243967,24.54816728686278,24.58446585090848,29.358822953618738,29.997813683041286,28.02365483252117,27.78226196048453,27.548611129143605],[30.128445663639813,29.09923931743719,29.290460389760288,23.55374960546364,24.99003011855966,23.862917929968972,22.06254223629442,24.833248042237685,21.096115254294325,18.509081153310827,19.19664121436545,23.491731662509732,21.73692309220055,17.08905800152579,20.899374820357036,23.42436901763001,20.80359383386833,22.726628511866476,22.34536400841745,26.515297154515306,27.850212187309637,31.960809239701952,31.335415835422143,30.30790985623385,29.070677898525943,24.853197899997895,25.45861695143452,22.773872605102465,24.497328024676484,26.256693467891914,26.65828971332825,29.439879423714405,32.23815219866285,34.11722884563314,32.657780368935086,29.720344321343813,31.380257397792278,30.039154763457677,30.017552409865136,36.31071230100803,31.667377549268267,30.840048827913716,35.19464446133219,35.87520111148392,36.596369585865446,37.08826379066926,40.67706622311791,40.06167370113937,38.05342380384621,43.01665445400548,44.87612193575829,46.66954633325695,46.73509378571939,41.768037132969255,45.053639249006174,45.62268575752508,41.35754532837605,41.27792657770914,45.37141861485118,45.58080618100122,40.35942320846344,40.27409026771781,38.28858971461578,38.12927897215122,36.65191916861971,34.00118629883788,29.220799809668257,27.34888433672093,22.871386825542768,21.581374733563905,19.159474017012105,19.98106431238038,23.593991419786445,26.771750237851226,28.07979670302221,34.06137358632766,34.21379461973246,37.76432460590301,37.63979193777928,39.19503310105942,39.04532500205535,39.24616779325473,39.14314759388372,40.00744749636627,36.02806353104056,34.51131000424497,34.11148372729093,35.879372325950776,33.02760230931403,36.36516270990273,32.61122927376552,34.25015833798633,31.55194673487908,31.06502976425944,27.071098178291543,27.012545649139998,23.39313863953836,28.406368823421722,27.955279169233663,32.1900016027092,32.17834513737427,34.44737746939487,34.21764856280608,35.22449227238916,38.02659463281603,34.96544619064577,39.049409919291385,38.62186377452979,35.856938449121884,35.17521588075585,30.89352677146399,28.3227627713032,24.404101872165334,22.538069418004465,19.427480079454405,17.99216358977603,18.56649571823931,18.031445938831723,18.923823918579412,18.649381345305994,15.15749543842765,14.692233506450066,13.558114551597615,15.32231151573665,17.463703490541842,21.25981732038769,25.18713735822704,27.02885195595505,30.584596454660275,33.92162914038924,34.706754606113094,39.021075488328925,38.27700822608909,38.45663219207397,34.1001183509495,29.878782986791332,29.152841232544343,25.20949610392814,22.04130260280307,23.630417527617244,22.31611641405081,24.893487102861556,23.191465963774775,23.06820429547862,26.11477643445874,25.074496410378476,23.271209001527172,24.34153261745132,26.492712969598603,24.910790140009446,28.878445208311867,28.05207779017889,33.266427239644834,33.19383461626564,31.527853301312884,31.781121837358363,28.56481003390699,30.922985170105807,28.86085136617434,30.853175533578106,28.949455923729214,28.877378624204344,27.278382841960724,31.12335122445547,32.603849473978755,30.548533841872246,34.518345626211016,36.145023725703986,35.177311638364436,31.06748502478839,31.898465224264548,28.956759472615587,31.976547530719806,33.216154197834804,33.55329636035739,35.262459365318634,32.300969066041624,37.908779732851464,37.043407190185704,39.084709204288764,37.995522766266454,35.79749605499057,39.95078258243462,41.88404111976597,38.529329582165744,39.19133665983872,36.31807959848068,40.95638034944829,38.368586317966106,41.331643568183566,42.93445414750885,41.042515619255745,41.35352937943213,39.932792885667354,41.17406511330509,42.23755280644208,38.157495139352264,40.60060860569978,39.3182113643166,37.999412491915834,41.985059138070554,40.57730788659725,36.54705930212975,38.46612463301059,41.631863768144605,37.682103062298296,34.83051007170912,39.579256222560176,41.36962711398355,35.73879326015821,37.20018420939876,40.48213417217546,37.53178950412008,34.78572727469081,39.02888414204833,38.538995248822715,43.886896409166944,43.128927356811005,43.3183709761962,46.707660136902675,50.86935689288036,54.566934698223065,55.88680372045336,56.14886700185226,53.89357162960681,55.65483503513654,52.497286074569686,56.108363251307175,55.62798873285152,49.378156679772346,51.077035657057834,54.462702478111304,50.7027035751675,47.79388788881589,50.05178470075297,50.65364657725515,46.81979681894233,44.14045515723657,42.67487061785937,43.71315818998405,47.28330108348258,47.59014984661338,48.887602770905296,51.938070551194826,48.27995523067845,45.22015949147558,48.17663579675034,47.740187861581276,42.84276857836582,43.19789975968649,45.34986954843833,43.09267306689387,40.937442346800516,45.915852951236914,45.979803635532804,41.74162873890549,44.00923654363645,47.969481869479885,47.02954043903336,49.37577295448288,47.73333532885921,51.385797558535806,50.72947109348364,45.059534899598106,47.861849304628215,49.908008553978796,46.958076918548834,44.6081319071331,50.383609972543205,49.64811239282994,44.21372069594636,45.614210969499794,50.563848816564,48.86525568967028,44.82635590086308,40.4940743238649,43.993091291669934,39.88417015846044,41.79972014234952,36.56253593842114,36.72263706972001,32.782430779512474,31.7828196603659,32.71409218817137,35.131751993286464,34.9882288557438,37.03313602116997,32.33955441854968,34.367494369611904,29.550874986543192,31.11346922355911,34.32718672378164,37.16120809061769,35.13986099033675,31.256572303839302,33.89652453381762,34.970834817443034,29.624643603984612,29.241759868254793,33.93630212414809,34.72052967086175,32.84066540895806,32.65161876319043,32.49465861605208],[34.04997934022786,32.70661813409383,32.16574032184626,26.60109692262844,26.826372612168775,25.972679864731916,23.33720845734646,25.607122389674785,22.026952226013627,18.38141262183243,18.7218406619651,22.97483584577349,20.21667405764637,15.688049144406106,18.6165567502177,20.838429594357894,17.73673260723479,18.67401044090537,17.38039370130825,21.75710129534821,22.593559284602172,26.72918882133945,25.859363896789823,24.935200232613933,23.994012641004584,19.828640985223064,21.01936493056164,18.844477756740616,20.760147893045197,23.197509073058406,23.14343362854535,26.658486514124036,29.37761922426885,30.542777420591904,29.056237622555095,25.765042085804353,28.045019152209523,26.03062566921619,26.071029889822768,32.239456073633534,27.463747648640236,26.120259528553273,30.307536501132954,31.22830745219443,31.91604508055544,32.83710045496796,36.21403893658014,35.41799675135092,33.91353357230913,38.93220890617061,40.48086175702272,42.48041147624532,42.270704194929,37.54302769521868,40.68950642213228,40.9035013395963,36.54587163414125,36.62647221699941,40.554005541204496,40.5034620369716,35.21437293524447,35.07129221160964,33.259978288517566,32.71463081525023,31.298855662047313,28.928715178894794,23.905837318427636,22.47962027341284,17.786411777859755,17.204136553791,14.453148373444364,15.253813488337162,19.045072258265897,21.661826869368593,23.457743766310685,29.262674331910862,29.374683600937477,33.18663849636079,33.084363367221734,34.54082675864878,34.897882168021255,35.19156519984103,35.71087361058141,36.5736146513152,32.4962201277557,30.95897403844267,29.923866267340365,32.079467578038894,28.640637345543514,32.2567583785231,28.383119255296766,29.9587607958457,27.704104503101483,27.778581169444795,24.19356778796909,24.53114887965253,21.38505575970582,26.3320166547808,26.505072032186213,31.371041687659655,30.317641481150698,33.27303942137275,32.15267301368122,33.911839788227496,36.374654184655675,33.98589976804806,38.338481408515385,38.0531776173326,35.896475174305465,35.06797255209847,31.234763082458457,27.865962402504277,24.31321892462104,21.783468607777692,18.020331008258434,16.23571926421307,15.559266227994652,14.629250045407527,14.135555786572917,14.471850491026172,11.332219341112625,12.18765613174752,11.9165362574859,14.720645099765683,17.8354330367359,21.24454812396347,26.055591487265346,26.998614956417292,30.50857614272027,33.113369886761376,34.4170632215633,38.48990224587501,37.20713544991858,37.09144300545455,32.86973732466866,28.704817717663346,28.869116974710987,24.328000143757723,20.93020189205576,21.702853516167195,19.720825665626577,21.287507667268056,19.34485749598283,19.91213936888711,22.61277446975408,21.825421563059884,20.630408572525738,22.291485595810244,25.08303338348093,24.285718004034955,28.690672608391164,28.27201331682921,33.342009332370495,33.98605315812649,31.613238092763325,31.254876098132062,27.67205956918876,30.0825996064711,27.208440257870855,29.517124554226417,27.06205985715108,26.06478379555552,24.546151647327353,27.90240763592426,29.760962471541085,28.000668058168085,32.301142497181665,33.916187806565034,33.61866088058977,29.476994661289098,30.385834273855536,27.099594988061042,29.739204758446572,30.775538160699387,30.934346162513133,32.927709277881455,29.746097188125145,35.27417073304885,34.075777752849305,36.4604641319305,35.23254100203454,33.91668905861055,37.871309287145515,39.61718245444298,36.1785999442264,36.054587261492614,32.751706858370156,37.30867512077698,34.80527142201461,38.196553766105055,40.12841005761489,38.44908365156607,39.312115769830584,38.331197842511344,39.95082944340435,41.52165524954736,37.86332157035585,40.56550702569808,39.91725540598803,38.52969348618236,42.9403474301181,41.56532991077925,37.60752847372604,39.99673361078439,43.29303592257913,39.536447905593846,37.048518639962786,41.89344898326797,43.68554142853866,38.45731595349102,40.184428900922676,43.544711354205035,40.66746268245343,38.26262668302276,42.64325518771434,41.91882595467666,47.2498902093597,46.2275392286819,46.085959131292306,49.54603857237769,53.37847516050857,57.304582880480226,58.20898253830841,58.14783845910676,55.56122240466439,56.965527401779426,53.485686423736475,56.90328090074886,56.82480709037086,50.53701460885803,51.74911239970052,55.18601980592815,51.71481956645209,48.512977674851626,50.32510634094152,51.34530289056615,47.80208522893792,44.402741861285826,43.515209244583374,43.912638695116016,47.591164981796325,48.36250092176202,49.36554388642253,52.673581669307836,48.724263856207884,45.89449498291216,49.38574800610831,48.776187662916364,43.85908806800692,44.73186362128221,47.11040897652789,44.959756688655766,43.08846117928614,48.15330922025111,48.391259097119345,44.44770349803485,46.810608836643986,50.69747968686724,49.625811934865396,51.577849898919695,49.519312165432105,53.093787743549534,52.9598798156671,47.236012081168866,49.54375050914122,51.91800435397478,49.20998814462299,46.386442985772625,52.05612735693022,51.80888972733289,46.34725215514779,47.165038362545566,52.285827482782615,50.9994686958229,46.97960480044038,42.91665686494616,46.53599282988066,42.74375844853188,44.96077258907249,39.746091294788776,39.56941782703569,35.82467661871139,35.01758291598461,35.431371363150014,37.64486396295156,36.97236774633496,38.86685695306596,33.88915471606822,35.27052090291241,30.47852993250503,32.724469261007336,35.40344333278805,38.560533020123685,36.30359080066655,32.71142401689777,36.02389493076516,37.05620846589612,31.43251683472423,31.873171863623234,36.77213144541286,37.388873151093286,35.30299644213924,34.88861143793733,34.37279002048695],[32.950166558690334,32.03942098623202,31.992194409262215,26.653398942588822,27.34400981173272,25.288807816760336,22.736025146578243,24.485593234376882,20.30881064806445,17.008891652347106,16.583946501053592,20.723193914662577,19.05480052048945,14.169305474927016,16.75398875270723,19.541248348684192,17.48404375848833,18.624552122992952,18.41040079361472,22.843990504051128,24.109528447661194,28.478288824573305,27.987263365683503,27.61891977265597,26.44607149499226,22.06984669194711,22.936055621735697,20.196427529624366,21.15027454369405,22.86701347011126,21.93780477413051,25.484031932816578,27.734925925082834,29.26197660978617,28.327364559957402,25.58765911333097,27.85722930772945,26.858919536233937,27.481554677620373,33.85820004672735,29.66811730757788,27.945191384492503,32.17062896006256,33.405205594417545,34.58266903392009,35.68476794463053,39.11303588316351,37.865210751965634,36.27328727414226,41.53188538632469,42.717595701859196,44.515012230759076,44.06658393529772,39.178229054306804,42.02756093431694,42.468368617740076,38.13714986589863,37.722950307579495,41.58024912236116,42.00441273566918,36.61689564967465,35.919527562401115,33.62905211487724,33.51074537003235,32.53590014948817,29.85610941586327,24.74830869849381,22.64859063379594,18.022078936889407,16.339611085492106,13.882172908616202,14.265300189085115,17.879917487184198,21.375045899187416,22.774399636201355,28.574468810406838,29.30331731410721,32.65772683338697,33.00788560214462,35.003325842167804,35.18792666482323,36.022076341481494,36.16364732841085,37.634722986290406,33.81136776597035,31.6983613980366,30.72365738213287,32.13625446041006,28.805049709896018,31.584612690269363,27.555470453258838,28.71344160735235,26.061847023025305,25.826739457988218,22.193226075519817,21.863202274401214,18.701137632177186,24.145286221545113,24.380429041233526,29.09465894890482,28.822932378821385,32.047028742700235,31.518394350883497,33.48661554144745,36.695188820449694,34.28969552247007,38.68101297673879,38.838043569181956,36.53626232105296,35.24449347810799,31.353802852962,28.24451790570632,24.210582075392466,22.43743597289372,18.28788480168102,17.47760685617978,16.896524727341802,17.178186499638315,16.341035993773186,15.321794437673857,12.381230958191177,12.5084441492494,13.449352181725718,15.559452379707464,17.988261210348423,22.267266396069367,26.349513447445176,27.85976248600592,31.459572048613143,34.15125779628193,35.907085826974864,39.883462092712236,39.02216039414802,38.45991209504036,34.69559600853111,30.34670814946971,30.748345033404025,26.53046381638479,23.47075585434082,24.01288596953612,22.977410461737396,24.60588603743528,22.05763797544094,22.226699724239154,24.648311459928554,22.99855354431245,21.8583119032368,22.670500266145066,25.233627546510046,23.728455536869134,27.955981422936286,26.720838162293308,31.721056340819874,31.653406339182837,29.213171664298,29.421750635153007,26.194269652736082,29.12602703598171,26.540349914763038,29.55102536846489,27.97889558782321,26.961085677728367,26.398706413362017,29.584290685984918,31.968141742487425,30.878027319057633,34.96152531812635,37.00470069103537,36.55035797967501,32.398001762095376,32.905010832658995,29.433534048895602,31.63084265781737,32.23835721542472,31.929238278200323,33.385822611751614,29.824711730681596,35.29038910257871,34.78290173667096,37.16480731553784,36.62690368492353,34.92835239007957,39.38062657955335,41.4699207109654,38.16905917191382,38.150721277104864,34.84558009840979,39.68602842904136,37.69723416428903,40.91702699476438,43.00365828938659,40.99363585727673,41.87721672195534,40.71023544427275,42.182066759849455,43.68367922488329,39.86971718231464,42.22051779917707,41.34293487808268,39.50604662727186,43.77641974201139,41.94448007694259,38.092053759971684,40.72726111386854,43.66053545545981,39.588643297021754,37.56548892403357,42.262090838988925,43.486462439963695,38.25611084305822,40.1899362926505,43.28395221665146,40.020616028512485,37.88244678034977,42.41800071852446,42.0859461401369,47.15491615415786,46.919499937872786,46.60866959519484,49.824433299366056,53.917141187181805,57.59766930030869,58.798677254631556,58.573702297083315,56.12807123257104,57.53924933473961,54.03113305221545,57.74920805457907,57.75293301288845,51.47611396450914,52.7771773374524,56.52747092039701,53.11496825278114,49.91271785826778,51.941647764817304,53.193920293450134,49.551906639181375,46.281652050606915,44.915655527742565,45.082634545318456,48.61171675953374,48.97567128866949,49.732316725426635,52.700046819517055,48.65543676514619,46.10238166132488,49.25879680674513,48.29583614258732,43.49215374390687,44.49567874041803,46.43813681584899,44.054977879358006,42.462929675369175,47.54569867556314,47.41104126873681,43.37438920738603,46.13155666296151,50.03892785160346,49.30522671884577,51.37101051486092,49.47854658196271,53.28645178295795,53.08507708606764,47.471161311652075,50.04984218752707,52.543131430570675,49.818306325905986,47.28117871044572,53.10889048787091,52.89799422016521,47.49939058531655,48.586403701788576,53.76002745125897,52.49590619598665,48.50955441188418,44.29323338628436,48.17946603271768,44.29688012920492,46.031126282846515,40.735342493293935,40.31563180995536,36.20484850010693,35.86017979194615,36.57544867150939,39.164530187038785,38.57346350393199,40.10155745943913,34.96382547019808,36.342880437746935,31.341430120265656,32.97992601865947,35.30276066049301,38.20071273171574,35.51502662747753,32.264766389574035,35.46684678915355,35.96052733102591,30.29280750912758,31.030407400055683,35.67417721168526,35.79362692306685,33.50847888320868,32.83181281170769,32.28845695894692],[30.031293295929444,29.4225285920203,29.97649120929538,24.587167757674518,26.190945459845075,23.81656227208183,21.917493563830824,23.98642494009428,19.6716796874306,17.282047028104365,17.11525230824966,21.219506084768742,20.402501924927886,15.528739518274051,18.777721995892858,21.730310120973893,20.029686532315587,21.898623977213415,22.268531043794134,26.522620381461554,28.120139020993477,32.451207977548464,32.11290066289689,31.623423071408403,30.24954668086392,25.841400218774723,26.312839749782427,23.249022001595264,24.122753624214162,25.344658739690125,24.827078164234702,27.744872214916203,30.046813518023,32.117851738472304,31.192590334166475,28.725185839439813,30.50101154143656,29.977176987694232,30.523026003172113,36.975688679740664,32.86169359644604,31.53335061185106,35.87952702663439,36.92525040388715,38.10851784855502,38.898391370866925,42.483083807460154,41.37698195915387,39.42188157746544,44.6394611693085,46.055688364889704,47.70598561761334,47.461843507316104,42.40346759743735,45.36698111380291,46.063085382034906,41.801167620467744,41.28215444300538,45.261896447593244,45.86685223797768,40.538478953325686,39.912564026248596,37.51967971109717,37.67655510031187,36.6308411974647,33.76119155069554,28.864105804883465,26.494270291356624,22.074971129860902,19.996999438555708,17.827746996396236,18.28128490120846,21.67630113124547,25.47061594158477,26.50065322004612,32.382446824609865,33.09449363465472,36.24799876914624,36.557174970124066,38.59760820292034,38.399969964275854,39.144372574831365,38.82450377628606,40.28669353842831,36.53923173390596,34.45988037117471,33.962679581904425,35.10260682906283,32.234698663132995,34.82020067248919,30.925360383916786,32.14681496431754,29.188431142287065,28.5139621122004,24.600646842423927,23.97102430487896,20.47266852157105,25.87099637230451,25.5947920726357,29.753745955118852,30.330106615599796,33.00086083681611,33.17043919016076,34.55713332374736,38.023802341983185,35.127990416684476,39.30497945205322,39.37551243992623,36.631267159882775,35.42841697118156,31.22105124560407,28.72833684199844,24.432425967381278,23.190963200641036,19.55451957464597,18.994993490936324,19.30200135144855,19.767725836374176,19.927121270574606,18.636847041237775,15.44486780111742,14.684478544056912,14.928126555728047,16.293243408107333,17.95684391211826,22.50833728789864,25.877464856320916,28.060966357337826,31.677738909284997,34.88970732730054,36.286277240288044,40.41824748661243,39.96135860582267,39.59861042084464,35.75994181865702,31.381474764349772,31.16410097996847,27.39105114818419,24.507943486878762,25.60016258454356,25.002855275507915,27.315889547464106,24.954812039066855,24.66493850217916,27.34360115997867,25.55401157520525,23.97587027053381,24.36894838709724,26.436337700222595,24.33604552676006,28.190819759244764,26.604532976530148,31.684328821974294,31.00728949239945,29.137769851723046,29.861395049549667,26.95831499958573,29.844758141829004,27.90845027105123,30.66905623219254,29.523583497055704,29.18853717921901,28.550087549401972,32.08440011601573,34.18531448708115,32.88480698292903,36.73704033732315,38.79347068527965,37.87237132900743,33.74451882896316,34.18914924707786,30.961286604014536,33.41952673960737,34.17103923547821,33.99456266992731,35.235588116977205,31.856622415735096,37.35791883819504,37.09986244686073,39.21991744993023,38.78427495015607,36.443186509608736,41.037680588157436,43.265069249426006,40.030498908107596,40.57926920980686,37.58339164216317,42.47816335654586,40.421943388625486,43.34228825208631,45.19630319186665,43.031557283518815,43.5221042656316,42.04006865245168,43.239508388625524,44.37477218513666,40.26459840049462,42.4067284469794,41.066020473195294,39.25500678073819,43.19473858040411,41.31159442335599,37.427904128563604,39.73319248830059,42.53075926445599,38.304432202937434,36.07129167896566,40.66379645561108,41.827238090753816,36.31953405372647,38.07610436367981,41.07214727746319,37.71920141796595,35.36883319513015,39.8111496280426,39.698845110670035,44.730934069497046,44.774190360923335,44.683685763812605,47.81353359474325,52.15890582629559,55.640984222639084,57.17157725042154,57.1676700564823,54.98003278490602,56.64921700413519,53.380852986948476,57.25622449478068,56.97212194341427,50.73525963501656,52.393033599576704,56.120441208408366,52.50924847318182,49.52405851271276,51.88366578116927,52.84837106777297,49.00204367045918,46.25847874119029,44.454188177121566,45.06515805550601,48.49985602976649,48.497739739896296,49.45280566706842,52.20137086633757,48.37556216047863,45.67554266637596,48.40678868907352,47.54868541796757,42.77915632339732,43.4062084098989,45.13942518704666,42.66227516175579,40.8874615924249,45.89577027476719,45.59673162682823,41.336341967457386,44.05943120860818,48.01512466864917,47.412840895599764,49.77500794982162,48.20753274172363,52.08385205547019,51.49446426828802,45.94361979650698,48.899301445464836,51.158506902532416,48.263976444640534,46.10123712839743,52.00262198388553,51.44443919737003,46.08759856563162,47.608858445586876,52.649691508206985,51.09837895338193,47.115911835754616,42.71091050635994,46.523881186867044,42.42753032052215,43.88792842660526,38.59307978379274,38.38410320281543,34.11347408826194,33.694012324926526,34.80154930698499,37.558427262988836,37.34634206191284,38.93802088213678,34.01134367905722,35.8441178918203,30.833582423487186,31.921479455534232,34.59382635922585,37.220117507503716,34.682991605990146,31.25866045720195,33.93710430136575,34.405585570191846,28.966832616329217,29.114062036961535,33.55629537869763,33.74277481689628,31.595619773559175,31.06741932085036,30.8059538226444],[26.26719974793673,25.842866174759322,26.631498073829203,21.522482721134743,23.43749209804338,20.358188933537495,18.74675474417041,20.69331842709344,16.270479965364878,14.630622797445179,14.559817516384665,18.47947774343749,18.438688591876137,13.823496081590825,17.500170537433295,20.47485154984148,19.311656031310534,21.91528520033868,23.246378307860674,27.125033765246354,29.318784159890257,33.58888850214269,33.72272329419497,33.36850164439247,31.514090969588324,27.04819867161622,26.863450048790277,23.33494213803827,23.793816210348577,24.33237206541664,24.2707433349695,26.393735376399768,28.759854684902255,31.407782654059417,30.441531765906458,28.36340175303799,29.547684968046614,29.746192169509623,30.393064053621124,36.88021000605917,33.19944383170711,32.16151420732758,36.60378195048442,37.54512714917696,39.01013513023159,39.56120249168684,43.31916017560772,42.08805186181663,39.694818863792435,44.96062363331026,46.396831940326315,47.76653906002905,47.64291073422211,42.37716783990383,45.34030450544167,46.407821728726134,42.28650961861979,41.4833875548242,45.571603687884085,46.56571249325297,41.35327355981734,40.75048991536355,38.15808446861061,38.905800516107384,37.76602593490167,34.51985850590102,30.089106632232635,27.208463377481362,23.28687935442549,20.64576990965195,19.03402283016461,19.99200003286063,22.748135444514602,26.849933229279177,27.108512815838058,33.12665609559193,33.62053962860135,36.45794637248813,36.63923109451375,38.74268991946129,38.01868015103013,38.75737040726852,37.86977647540439,39.483078039716396,35.951375722058906,33.745166532213325,33.778747450166755,34.45001799908881,32.20956805987798,34.501495299771406,30.88357875578823,32.35630845962051,29.053738969191876,27.83081686153488,23.613650826532794,22.90743471295043,19.06661540571518,24.125567888880823,23.343009430820292,26.981683741089196,28.20995552665523,30.402017904223012,31.18853103806428,32.156346443087244,35.96398093822257,32.80220637739704,36.81711102501788,37.038092035369054,34.06907077494931,32.70857631352857,28.408014066078856,26.372456382384716,21.85941483878652,21.294245099282506,17.984559783289747,18.078132483206833,19.02727071048943,20.23017767968946,21.112671102422237,19.054571451674892,15.925011621466801,14.22371350404301,14.53274633301677,14.946183834509672,15.704174062352356,20.60743775279348,23.155661056444586,25.840499753102538,29.422987694598966,32.84571443683851,34.32053675779692,38.389169783982815,38.36864637308871,37.85444980757459,34.30378683874624,29.895464403906033,29.585338100121223,26.318171833451874,23.870069260105417,25.000637404219415,25.35855106687269,28.09417640730789,25.5215743642841,24.637578753154155,27.268229760217686,25.02653861380211,23.183090664339144,22.90882117300508,24.475315168970912,21.821819152606743,25.300325670528267,23.361309089017766,28.40584746082276,27.368270967700816,25.853214228752154,26.89885817743856,24.298045280551563,27.1693983769201,25.798567079047576,28.502853299384352,28.00415298651251,28.168609364201586,27.92433000470852,31.545783310909396,33.66526498883956,32.703513016879505,36.18574249819046,38.54752549016198,37.28975533180335,33.24225899794193,33.336032829761024,30.174245992562536,32.45034414110857,33.05658057908605,32.77599820887655,33.63643166264022,30.357559956352116,35.77954255731418,35.926200842446455,37.799853993286,37.71991989095352,34.798482520602306,39.64854629357691,42.11610071719242,39.04591115359507,40.04764018774684,37.345921025814,42.38146320974366,40.637064232580755,43.162049503546825,44.943110052360254,42.46662364249913,42.729528118117756,40.97256989999758,41.928560247501274,42.85341663071562,38.58836215497302,40.389600831831636,38.785999788469645,36.71996966914951,40.442632965450706,38.31210771598113,34.522682148580174,36.87883320622064,39.4077134457147,35.0268290648421,33.08206204651469,37.51825610445165,38.341303541536,32.87165980984407,34.7441868434366,37.56071034304291,34.028884018838994,31.87706684364459,36.40115688033869,36.50682320519303,41.32458687897859,41.8723210790794,41.61697496969706,44.5646843761655,49.033207626882174,52.352341281937186,54.04709184053556,53.94848501800598,51.87915633866861,53.58171191261786,50.367705853056854,54.42339856696022,54.129025987703976,47.94639161246385,49.72269752248319,53.61447172773549,50.031395849203676,47.10931734016196,49.674355681694166,50.73754400751637,46.81986196228635,44.294615487128915,42.07662692372136,42.64669300420831,45.93290415080769,45.59884570871805,46.485217557759505,48.99370140716699,45.22959468159677,42.61449438233665,45.05186422196209,44.09105808070472,39.40600102866065,39.978509881216006,41.47663465254595,38.90970067344436,37.21813853343138,42.19505036849403,41.73387311979773,37.438077255385416,40.308721757478764,44.25597899934483,43.817739594077544,46.24034043145047,44.80349486319795,48.78523007171759,48.12277971262766,42.673431202148194,45.800732351558295,48.09570319664748,45.20643192940855,43.26708349539532,49.23231689833253,48.69926368078679,43.436496390393565,45.15102342495881,50.18450326413417,48.67921458418671,44.76633025952289,40.30307151877945,44.33570798664865,40.26536946535762,41.322633311193194,36.0242867872656,35.55724508047868,31.091969678343514,31.085019307794187,32.3447133485175,35.36425173022899,35.17690310786422,36.434507177355236,31.482692324594066,33.356988433103,28.308177781851423,28.884813687814518,31.417451628061976,33.81869738927087,31.189514898173634,27.885417895133344,30.36351808636978,30.605597038412625,25.26393753299972,25.415251172151063,29.688482507728146,29.70953328360981,27.550908962722367,27.010618356504704,26.854440216953464],[24.994988594904488,24.515957677122238,25.576336008445693,20.135492407869005,22.73748400950239,20.470481167605815,19.51041273291416,22.2242263732834,18.28281683779303,17.098553189952355,17.78911501739982,21.720825133618472,21.407007856444235,17.01868280943902,21.21266883633297,23.95837773618194,22.28904996297797,25.094608378446974,26.013772174875267,29.861054767454757,31.921907560559774,36.06696952348955,35.993199063151536,35.224692969718205,33.45980936555198,29.104950939018448,28.948388143040063,25.59628798128833,26.62503946072165,27.383974923925713,28.002302732198064,29.880480189147132,32.5554137485125,35.239132481463656,33.962418981924,31.65664087152695,32.62623565394675,32.41844775370001,32.644477759070405,39.045413305629154,34.99781971451261,34.43052846288502,38.91924502689647,39.54647372665074,40.66523486662803,40.897552611129974,44.70465113264364,43.89159050285332,41.34778542745603,46.40188550544904,48.25238286366171,49.67826577363832,49.85217899490658,44.59579280876466,47.83463036362337,48.89038381530999,44.77160088026497,44.24999899380781,48.45459622986909,49.215717483163544,44.0739456392715,43.83571658826337,41.47596402573758,42.033150112074175,40.62000747269279,37.49190724790084,33.10373072041672,30.50485639448863,26.484483790921598,24.259409251806783,22.43888742267935,23.466979214898053,26.49300444818393,30.323185514338746,30.793750088656758,36.892564568559834,37.112587089011136,40.165173251990936,40.09594192344079,41.91400988029665,41.12341817941212,41.46732129521202,40.56411648550683,41.749831842633974,38.08459530414454,36.294753865920704,36.552336881720194,37.563735937514906,35.451147347666605,38.16419897620525,34.63526372200832,36.321332784126064,33.103589966379154,31.908404540586005,27.596511733417262,27.10272740442395,23.15112155009635,27.95472778805546,26.88180213099298,30.264063164319474,31.497218713523974,33.13079650072908,33.97876787844897,34.37578489083735,37.81393163958179,34.26770334527863,38.0589892902867,37.84128839311666,34.58234274712957,33.69618964610183,29.15910790022424,27.488686871256043,23.15938309972141,22.440115980300693,19.850758445647195,19.403431747369577,20.901048490391947,21.433343411341117,23.083002933851567,21.67374843882157,18.25456127376602,16.554805189040394,15.616505358277204,15.945022579644428,16.586142486762057,20.975015916312707,23.426171843172796,26.28603223679592,29.798979389979415,33.63196621936144,34.38782612786016,38.681270178621034,38.69125857586535,38.72118962681138,34.74132667963348,30.466177283650502,29.367544996004977,26.28421029378395,23.751128766340397,25.56037164302046,25.583648176989865,28.78954732250475,26.795896050616648,25.874251430227503,28.871789226794128,27.130800646181854,24.95783999647911,25.002181865755734,26.375686498554355,23.82111033922535,27.116548355870382,25.56243013874015,30.681912562280203,29.698668458618833,28.71557823775526,29.718032642926374,27.106930611321715,29.539001369434757,28.426407951224487,30.419420888007114,29.58142559911893,30.258422124575045,29.27036994947999,33.263954099234155,34.78548699335455,33.14214608325178,36.58056324891138,38.59575824376241,37.04409887747733,33.05076943851293,33.41415293678602,30.634464363547494,33.470296223877405,34.517363013817196,34.68327154084766,35.7809914688295,32.89854414421768,38.39199478203387,38.21776498251363,39.90991052173208,39.39920217872058,36.269824631102715,40.84290337548811,43.15167015190647,40.03344214983841,41.39643369256551,38.925726738818206,43.7831029573425,41.605990427841,44.0265575278039,45.492242287389395,43.16005041762513,43.070405800875164,41.188114634499776,42.00943555729256,42.643009878875326,38.225504491880116,40.11658530066903,38.23803356865516,36.59467022983899,40.095697643123714,38.31543049995976,34.403599640393686,36.18176198934541,38.89286846080143,34.62842766039023,32.00876647818224,36.4733410459546,37.755192671762224,31.960368290859584,33.42441839790471,36.387034688816094,33.11173728024322,30.431099727165694,34.69981997300659,34.69608401549844,39.74578164486931,39.8788919035352,40.053431838337666,43.13910544104446,47.66985561219812,50.99304504059961,52.79484322655201,53.088837689930884,51.1702104882602,53.140733343347506,50.19994370167443,54.15327799225476,53.48980199387475,47.34018065205049,49.40811582277844,53.00077876006495,49.15979044752203,46.4665298364476,49.180344155516295,49.740775429912006,45.69033288395373,43.61048581458652,41.35504442152629,42.5857911742089,45.90164063649028,45.551543859152304,46.84564991413157,49.423788077098024,45.957315237369905,42.96943326753565,45.26299527062612,44.71108969223414,39.972931877505864,40.04536958545354,41.704259313070686,39.246978785786055,37.114239227436464,41.988549338971794,41.68055933776992,37.227991472067494,39.695563965557916,43.67982993531108,43.08333090153813,45.73465202652664,44.501918465214466,48.34959769709079,47.325349808109756,41.84120278538158,45.14115141607114,47.07292972129916,44.00379809315368,42.21989903091878,48.13051008407007,47.17308362738652,41.88711590255502,43.85098297123966,48.696367739262314,46.838096261049536,42.88479462112804,38.32723298204023,42.02839000643606,37.76005176544912,38.95671946461787,33.70465096831266,33.74385096204102,29.412992509977457,28.84142542039396,30.317525069907433,33.19807781469201,33.396891702801994,35.07936941151231,30.509627389151742,32.88880307644761,28.022087616972186,28.548792716951063,31.77534918749142,34.12050482730809,32.0328216615416,28.256668320395764,30.260113168402256,30.97079928273744,25.94273688322116,25.14905278418287,29.421458097498476,29.990606829149172,28.188117903111156,28.044671649974028,28.198749396720103],[22.802834440278797,22.909624732025865,24.57943583275777,19.77486856875413,22.839788365016926,19.254256651232872,18.69576461894632,20.7916561472001,16.574850018861394,16.411605132637135,16.616207054917666,19.994188473882918,20.98195337393376,16.932915059585717,20.813666816248848,23.715473148986153,23.007495895604336,26.109516567877368,27.91635612333975,31.54581593080532,34.02087997261263,38.21046985004165,38.52587370993945,38.113477038955885,36.062480137153,31.62772601630278,31.078609247935542,27.347607152101705,27.65503117265345,27.65996672110206,27.99035766085118,29.37439225275812,31.70002680611578,34.84669723516497,33.913414524488324,32.18751933697858,32.83227609876645,33.55511186377535,34.15304637288725,40.57846207092962,37.112914393833975,36.43905313360028,40.92766884915357,41.69319468196655,43.20271903782105,43.46278505209742,47.336484914781686,46.19837576632059,43.45808529450458,48.63792503631477,50.24773752983632,51.4189586926378,51.49072729985686,46.09565342854165,49.12775782349563,50.469615052711895,46.46588566114457,45.529830674333795,49.69694284852208,50.90745848869232,45.80457771598938,45.2628619120862,42.57212636253031,43.628040479617574,42.43265662226692,39.01094268401518,34.850428133548235,31.748159470751805,28.0944376800298,25.201718946417632,23.859688157077017,24.867250202951514,27.376438568914764,31.64122973293029,31.54176915401391,37.53988901500137,37.9875534701131,40.571318996779965,40.6998034642296,42.82868359281468,41.70106164607005,42.35892938900985,40.97432628617474,42.593132173514775,39.241954077701415,37.07746433565606,37.60327836076025,37.94014561623907,36.23454373350743,38.264219146483114,34.8726208516871,36.403537268582554,32.87044482882485,31.231367127503923,26.89639126361376,25.957445781650044,22.01323122031948,26.64877518479177,25.3246012689855,28.08469010799406,30.26747128191431,31.723061535028858,33.31749809411565,33.598080501652916,37.64498326428991,34.02972539479453,37.669266867348554,37.85167302202047,34.44861998083195,33.164064587320695,28.661930806699807,27.49994318491545,22.914199084290587,23.1186490026762,20.612459139811058,21.060090790035986,22.730537346614334,24.116451767386764,25.697468209198156,23.451605679487795,20.341960392262163,18.118079997540878,17.934472062342078,17.50314475890306,17.187743950940856,21.998429750394692,23.34851912595991,26.760363994823997,30.189276090009205,34.066753473860814,35.1740561570392,39.26725300324241,39.769356491465224,39.408166964008736,35.9650866930175,31.663388763072373,30.755984781419112,28.193782379993554,26.141129925473788,27.689509685882534,28.59244091398046,31.838552316566698,29.43792896889193,28.137949022164804,30.861847037425335,28.497895439547538,26.339959601642764,25.58095071616798,26.494862966138996,23.276076578786505,26.046408716826146,23.713377136469344,28.575580426411882,26.768118965784186,26.081839644764543,27.734106944347044,25.692192069737146,28.375551989174177,27.85195999147256,30.1977592015725,30.29150949151242,31.1541689052455,30.95099272878844,34.76522838509045,36.604324461622205,35.5712148230583,38.68188453500353,41.080909867981774,39.350282475977295,35.44931572254753,35.39238102710348,32.56086336401001,34.946234084255124,35.62213478310819,35.434756518247056,35.98138192956737,32.981922205477446,38.260772688101355,38.73022387948135,40.27177830937959,40.38112501433789,36.80355862128754,41.740759620246905,44.3521516360598,41.442905290534114,43.0304323175214,40.70192626278225,45.737190292322325,44.04003948433031,46.183746492299456,47.72278580102958,45.06865169978081,44.9191282243865,42.833346009854004,43.44791430990414,43.94601833533985,39.4387088974671,40.88433513588176,38.7598753636571,36.68132127490128,39.89616892132821,37.6650852748327,33.97102679614212,35.92827727111457,38.149607717301095,33.629578551368276,31.612546366310532,35.762314162075384,36.35792632960982,30.688698531801137,32.35803696858122,34.92688600091738,31.263076236244782,28.979834973232162,33.34717684122287,33.82027904538354,38.428900561798336,39.51269698761423,39.447337204990326,42.18214973090752,46.934459532478144,49.92898120057155,52.04375089004178,52.15173863922694,50.42628826395254,52.39711549353453,49.49390343713988,53.73033763312214,53.134276412503155,47.091168574152505,49.25682320176426,53.13188562760481,49.39890674272392,46.765340262172366,49.69926724048847,50.48884674395812,46.39294773636904,44.522106477420785,41.75680260981632,42.75840825154693,45.83906995765478,45.0156531185244,46.06945856165833,48.22576175735123,44.76861440074853,42.07579008134786,43.90970292364739,43.036642753297784,38.50463956700198,38.63325335420934,39.77613375399461,37.10810489706074,35.27366932929378,40.0692578106297,39.35538125909717,34.84298814633379,37.696962607631235,41.64800400252025,41.437113550657486,44.191790469565944,43.1888052557783,47.23395472567373,46.12386055742406,40.857698467144154,44.422956914209585,46.44504664218216,43.40819745220103,41.99611020748435,47.979238253819894,47.086078917283984,41.97845259408711,44.20706284498491,49.02760799325066,47.249734646312014,43.421208625455556,38.80351197472452,42.771156535567215,38.542340169618,39.11198875982688,33.906148075432725,33.58823921596438,28.955716828896087,29.039200644832285,30.790343044491536,34.026667680201406,34.27353931844167,35.44232667161513,30.8509616794645,33.16950936171812,28.277086132642303,28.0261525404378,30.80432346808256,32.74333532461051,30.319212981237175,26.98481973492702,28.67822344856164,28.778845601224287,23.9494616577305,23.363345265236394,27.159299888118007,27.181542057847132,25.25187071517446,24.904906193314666,25.149010753699216],[19.923848509675622,19.820158278673258,21.749499807907803,16.634581192660203,20.58398118487841,18.254059368021693,18.62623394900784,21.715081478781673,18.43292913443323,18.769260904395757,20.03701721456012,23.408049249519525,23.829090206651205,20.20226093989094,24.774932249502204,27.279128833357273,25.90739172864727,29.371046193281693,30.84816226212267,34.28000907165161,36.74315757289797,40.70493901037463,40.91868949760956,40.020341575759154,37.917721842470336,33.66149183814055,32.94508232119067,29.38057380517848,30.341826902284872,30.546265182426385,31.97214715987947,32.87619978590955,35.71399091005104,38.94491845014529,37.48361123389207,35.47831225951658,35.70157371496742,35.96377498577018,36.004845192326876,42.24507906798421,38.45445310965292,38.49742129247913,43.03507112056256,43.33866985783699,44.47412329097733,44.237337284661905,48.19830588371332,47.5733928021034,44.515289941201644,49.38358320377648,51.54152774879881,52.69820435219882,53.21556929884677,47.81163053341827,51.20808165745895,52.62719250881019,48.695276282593206,48.08309881723491,52.42934760903542,53.41630828508242,48.47817754971892,48.487707634886355,46.09975321390687,47.07179392025463,45.43225439647596,42.0680194706429,38.15859517207247,35.31541084463116,31.70445525928041,29.27508010324456,27.805312267078122,29.16443312913571,31.8283952165621,35.74383325713129,35.697668856140226,41.877301079814124,41.77350402064526,44.616959572343404,44.29149643769126,45.97966301516706,44.63253850524772,44.70214110711515,43.19981073319217,44.21909802111071,40.76240905718309,39.173832082763965,40.12382451987162,40.86184086990466,39.48801218561752,42.11528808149932,38.949482777689724,40.935561731777526,37.489721115672936,35.821169017923225,31.29212091393968,30.817009923429506,26.65629081479838,30.789879043472954,29.031941922414223,31.456073516015707,33.457937397951675,34.049406712015106,35.67611327334169,35.10548869131795,38.570206737277616,34.455104546342305,37.718707884651444,37.30292316531467,33.54362862054269,32.92654743908314,28.192914934508096,27.58852696468659,23.38920349917261,23.45513478771449,22.028709829797506,21.90984106651362,24.31777150653475,25.060857010920113,27.724312236908023,26.101867327671464,22.735137332668735,20.391994722867345,18.822475374732303,18.084131270860482,17.462099168235937,21.381743268729092,22.397920979299215,25.989298547554725,29.223266796269233,33.59272287553633,33.73949027520993,38.05005810403949,38.66322103329501,38.99784073507927,35.10193240924646,31.05894960140792,29.138189148363026,27.02547092186384,25.085116149677997,27.414434355199642,28.19310051754325,32.05180899026756,30.335680268442825,28.843605792261492,31.943513994657927,30.161735257359883,27.575913994209277,27.13625750293646,27.71077418290841,24.700437100026335,27.148117298739486,25.52037693244777,30.401240825765836,28.943024758871484,28.972425072260517,30.356491894804254,28.257082125395645,30.215041690734544,30.054471899274798,31.334740743393606,31.034290678634513,32.64876633767167,31.56065616059203,35.80214051283503,36.838247915081475,35.06163681425032,37.946211616256946,39.964138797587125,37.79134297409195,34.06108938068194,34.23446747129284,31.967328365477222,34.96838611858414,36.17817560625724,36.57488081302395,37.38773009659745,35.00419419724378,40.314008004102675,40.36531149702827,41.5986734006545,41.17085293070424,37.261869722472966,41.7981036510854,44.21334123103688,41.31392310573066,43.4657485731926,41.54705718671128,46.32982821689372,44.18455842534084,46.047718713483356,47.14387260336076,44.617259952539555,43.953024543643494,41.66332967271472,42.037688847781496,42.1070219413307,37.433406934183864,38.90626091353324,36.41115713159046,34.8849027957217,37.74811341481893,36.006240634703204,32.202361430310845,33.366297712643664,35.80155870140468,31.504911842145198,28.616961666133463,32.75703699064205,33.989276759995526,27.95933722012749,29.068951446379543,31.845274816983242,28.61055352760283,25.624182932055984,29.633692208607492,29.90651258350862,34.81896054138888,35.31666999515707,35.7659818115503,38.67797084692485,43.45905387796382,46.487225194702276,48.67889175393608,49.27457373387156,47.73126625735678,50.02886640416255,47.495946804433935,51.56576653848486,50.49980150787493,44.537933252367985,47.06714048232114,50.54096802298604,46.50828527631583,44.191235570216385,47.31526785016569,47.47721299318656,43.23769319667101,41.98190399783451,39.134220958764054,40.97922462642439,44.054755500814444,43.20868817476001,44.801839399559626,47.05659434957168,44.03172050224771,40.84389043706325,42.49796889367783,42.21877955109738,37.645286963863136,37.09323160747905,38.50935372374609,36.06037838151948,33.61126111779723,38.23190120860571,37.812570961195064,33.16829991549201,35.38503958688554,39.35500647588147,38.87157351931824,41.87374856710819,41.109279362556144,44.93131595689406,43.38293036143737,38.090171789821795,41.828967136034095,43.37721345150229,40.13681880073571,38.921850600669956,44.79539292162478,43.39199787165853,38.28924405621416,40.82245343456141,45.38040810109556,43.19670141060309,39.34879181326792,34.64433966742873,38.228303021940164,33.80359382480008,34.49024025205812,29.364448579922026,29.63887384684009,25.222442950413065,24.62661905723453,26.6436245329741,29.71830975953832,30.441841843253247,32.07103162476055,28.04196769797239,30.984607120092356,26.438114811731822,26.079717641293755,29.749909187405127,31.602492056767527,30.009081605151508,26.055866103772566,27.089595936141897,27.92468419182721,23.627950384267812,21.71894992116195,25.5085163125437,26.415892137385217,25.071557745691063,25.362290366138655,26.018046362984688],[14.657425023258126,15.1939989030151,18.059063565473902,13.976660434552475,18.831361592236185,15.704763768317296,17.260858049903103,20.087925349726603,17.488802942636685,19.29521547907598,20.747224101883138,23.30119589707182,24.63700780786219,21.892578884009424,26.414821410260906,28.66613830075481,27.898153616553273,31.851409317579233,34.09179056516464,37.05840412375912,39.99627450261812,43.80273478992254,44.45440749163929,43.68724827072103,41.17974901898569,36.991841179534866,35.683607585553524,31.848264389538777,32.39523946648934,31.88132732565771,33.80028952667922,33.741886012386324,36.542936122703786,40.29082816333629,38.806494751708165,37.28756879029954,36.81120464804107,37.82119054261177,37.921549610577216,43.96700224948551,40.74319474339259,41.132225659487275,45.651438213730636,45.808946639792566,47.192708280869724,46.67500233755628,50.74729956914523,50.03052342489126,46.53514287240953,51.31967619627686,53.50424938610452,54.310928413035306,54.99663992838859,49.46292614176449,52.819437524766194,54.6411991797128,50.94515218704084,50.055183894680674,54.449637720295,55.833320650238555,51.108814313747935,51.166816900491895,48.63208098217924,50.17040800944926,48.45313276783168,44.7877023256776,41.41344099339665,38.191210694238215,35.11930232903515,32.32973410987963,31.34614541483949,33.01451780761345,35.12697016508454,39.19187392525915,38.4805455435074,44.62773207950087,44.299198416912866,46.76433211948462,46.29111742832324,47.97940902342699,46.07016846494491,46.08101014113102,43.93633538419912,45.03943561785276,41.94613714274249,40.32899149288968,41.88710835430757,42.10893055080327,41.494848377499245,43.76275808675592,41.00164626208284,43.195062908073865,39.51951868805073,37.35589012055245,32.74099104033855,32.23698263737536,28.03053569199204,31.386229851718028,29.062278464408394,30.46073134205102,33.26441979828577,32.968981357407465,35.416966238452595,34.109415634266206,37.804602746416,33.3704805530123,36.129399771582726,35.8332864950195,31.764165338127242,31.09246858638755,26.39960852785911,26.808733860892172,22.758311580664426,23.8351557171217,23.2616121482813,23.815505439838084,26.74596238084797,28.079949680762628,31.25218168489489,29.095609578715738,25.999816672735417,23.109954254939797,21.647859366780892,19.973043044337484,18.15343218321271,21.734644354906177,21.095399509504144,25.3140632022991,28.19560763288829,32.783275985066865,32.807879275756534,36.88647829946898,38.17402319201778,38.41473752736966,35.01406824100868,31.1978626751634,29.026374918935577,27.897414591312586,26.704759100175856,29.019527062418003,30.811524603541695,34.9583191548862,33.1496738662998,31.11681522254924,34.031648415554294,31.917597754120724,29.15776669328108,28.007249533874777,27.799458335327287,24.301718183904637,25.7881558101183,23.871381173906236,28.27453743313388,26.2650030637373,27.196482525927035,28.994361754024574,27.55560835405036,29.16647125969007,29.94777859674128,30.83837777488875,31.394407197866247,33.67073497238805,32.995347854992325,37.182423387089976,38.09738708625297,36.710918522277154,38.98926713493324,41.26978794325669,38.673549282805205,35.23409385384555,34.97341752073141,33.00291421522049,35.714011013736915,36.76292277210039,37.09608933656086,37.411488753221434,35.37442321612511,40.33916357922439,40.85626631047379,41.67683144094099,41.65485913454116,37.06358556498497,41.7076067777835,44.34179512657062,41.7585277907275,44.500818236219295,43.045478775979475,47.83312627675124,46.06543732715584,47.375515124817234,48.29919180394988,45.46013912532086,44.43858323393378,41.811134077114964,41.78161817419064,41.449093498300584,36.660360244211546,37.5404216040427,34.58486403725868,32.82896940351163,35.0815486986048,33.08036914925547,29.564227740566043,30.493473154705864,32.38099202493457,27.96166737392738,25.44300490769591,29.09052868350947,29.785472204059218,23.805232836840112,24.881476540193496,27.24421581315752,23.78656753491861,20.980583225642498,24.938968805053555,25.70409293451982,30.163600138462915,31.587515606227498,31.904071610503973,34.43839476296821,39.45254652794103,42.11334195977602,44.666242240822434,45.24017113840272,44.01211490968345,46.4499748998771,44.1683647137183,48.45631588337047,47.24992195848402,41.510379405864946,44.315216644555,47.90341940654494,43.905891544310926,41.84045029824288,45.29712507818376,45.4540940061269,41.146501874952364,40.46413410144996,36.96492653108591,38.927156111298565,41.662077279736465,40.23318701466538,41.82241271685937,43.61400246219621,40.89033033919009,37.795083444900875,38.781213049727626,38.4892726560452,34.18595125521527,33.29530644799485,34.259919969014994,31.73373036098091,29.283315576129514,33.67003549107957,32.97601796999751,28.22976051261339,30.510848208543702,34.43339633371373,34.241194449690845,37.45740809323066,37.08286125514758,40.98793329399944,39.14332936331606,34.135823991330454,38.23886217932184,39.6628682481744,36.40363254622751,35.74629704406524,41.59555302635788,40.08162941033223,35.26178263896341,38.22009304534824,42.58753697440404,40.38784438694722,36.74331145628912,32.00882087484475,35.77833607094907,31.444313950013,31.32112871916663,26.36354880664259,26.33988803041906,21.70903375118608,21.784194027150804,24.20254960794516,27.623728634716162,28.558473479058588,29.641422810122005,25.963748553529268,29.06278133351379,24.831220409213728,23.39934956938605,26.933692417966817,28.183271556413263,26.77747583170092,23.064006241497253,23.23662453984026,23.79662622265234,20.264010874940816,17.72729876817704,20.81352415368179,21.67517327336178,20.6505897995136,21.212671762512578,22.30122435827774],[16.487317613622782,17.867960089012985,21.18193699119554,17.903151224510836,22.507377927979782,18.128412509445187,19.508083864810853,21.368565295581703,18.238379723825272,20.390635457754964,20.98528915224943,23.08611753207002,25.47903513168018,22.70311060253558,26.577016813944848,29.10639049177825,29.129161150775992,32.908378741259654,35.548594397442244,38.61360664244821,41.62591363255773,45.60070849580643,46.365136718249936,45.95792899395245,43.467578394590085,39.142833824011774,37.890243290801976,33.874462076769916,33.82711729668367,32.92264582118134,33.99757799014202,34.01878784716498,36.265309339352925,40.163082696805745,39.214374412641284,38.13390275028433,37.79238834212901,39.43896785297191,39.99241746826666,46.147788843198626,43.273214227947605,43.19821816904993,47.68618553740642,48.161705517014646,49.849604784568804,49.62899369010212,53.66357101459172,52.58049882803512,49.22880649470755,54.218715618209075,56.024273108724486,56.76124880770141,57.15332717328403,51.58369512815115,54.64890580371489,56.52248626184947,52.816465504237016,51.59198644452091,55.85228472860466,57.518293568196874,52.69831178712511,52.28981126989506,49.448380262275386,51.16193494251753,49.82962662643378,46.06757570017317,42.55499890315605,39.05319012911274,36.020639480849674,32.77090488454539,31.965913633414637,33.27435565982623,35.19861538654605,39.61332593906623,38.76032712432547,44.68604985634041,44.87298091319423,46.97202671267647,46.90899979354513,49.008659112198266,47.122798692753726,47.62585423211457,45.35290785726268,46.9844461425858,44.08507947465713,41.99671940311865,43.3942096524017,43.10019542651401,42.434244612807106,44.00955434963752,41.16084740654747,42.918067564685515,39.081129989639784,36.761180553577226,32.34687926485968,31.27412084749676,27.331899265246566,30.83659595234929,28.651143198140183,29.715095757197687,33.296343142282204,33.3421178315159,36.24544219248364,35.32029871162372,39.64578378493382,35.450467036228254,38.26102299432432,38.47894391593954,34.51618228965909,33.31222293464767,28.81425330936055,29.263366109765702,24.94967640582094,26.50141290852666,25.39302321894644,26.49636399181584,29.04979004378257,30.882945470963666,33.39278947613016,30.733274333486236,27.842127616010806,24.951073791624925,24.385600220082356,22.762209874273307,20.866785298554568,25.011444929889027,24.069085238614377,28.41842184204453,31.3130714392231,35.65753134026443,36.27522569692385,40.128842718126386,41.601085048170404,41.346252694763216,38.41113246146114,34.48232964206035,32.85098198022019,31.680391421598404,30.529276304418833,32.4164453902105,34.41043428673643,38.258881100914024,36.01008151664599,34.02287500158426,36.67723307693913,34.06715721687143,31.559088967739726,29.963499847176138,29.737615326648974,25.833676361351934,27.116770011937117,24.315317169911456,28.386906704298127,25.41470502828811,26.335855679363743,28.8271262451545,27.890769098639527,30.01626314324491,30.975361594896153,32.607676633309424,33.81499299633266,35.75224855164209,35.82307575307588,39.71966778388807,41.16249513838054,40.31256021588807,42.621520512213344,45.1829102671994,42.73860030808925,39.244823793193454,38.76921338883779,36.51734302166956,38.779453650189616,39.416246032381004,39.29649501879628,39.21127151230365,36.797589832802025,41.597777219809274,42.66517224596149,43.57517146850442,44.12026464914052,39.51462592380334,44.50344091695805,47.35649603308725,44.860891972492794,47.396334466700836,45.76955553523446,50.74699890229137,49.34467940926624,50.72765918803024,51.89151723110857,48.88934609335024,48.09083848862112,45.485912518318194,45.477576492945786,45.26169060762476,40.525990050593606,41.173348291255124,38.24598906626394,36.054968905694096,38.21140322409076,35.743674334581236,32.482905661650996,33.78504439418813,35.19756323552723,30.57996373918409,28.858020293248323,32.162297512844766,32.05305028580705,26.424521622614147,27.775805559761928,29.61978783928504,25.735020953779372,23.581380562179664,27.530092659228934,28.823115371766413,32.668441864455055,35.06937274349243,35.12358135813814,37.251510121962944,42.40091692362791,44.694801379435624,47.52244339385146,47.84066029482664,46.76133655877679,49.09759811761881,46.765362745627655,51.28863169778481,50.273962688496326,44.650053070664754,47.39190221882728,51.267514344064196,47.46115757525778,45.36421469503927,48.867781894871705,49.349829435358146,45.09248198782993,44.34792318545301,40.618367509995394,42.13226567182626,44.69055752085136,42.94422246569478,44.14979606200375,45.54284711740859,42.70261735178824,40.05833791497864,40.698976176616206,39.91991797668881,35.87410670624974,35.26877626577702,35.622535665913055,32.839577642102626,30.923821581008706,35.19329332464828,33.96457547267453,29.23519753951367,32.07726800453975,35.896084290614354,36.201956482829736,39.44081987918049,39.24700451844216,43.34542728801404,41.53423859667189,36.81495427147851,41.053985903467584,42.64179535302084,39.49429364333427,39.11181933590913,44.96418764535839,43.61280574573472,38.998099802753394,42.03781585746318,46.39051370536645,44.337033515057676,40.82941119014609,36.14259814338026,40.058600627532456,35.82834362266444,35.25842090825966,30.458477926532495,30.11043946965833,25.345361372880284,26.008836609924945,28.504473002292475,32.08036257625221,32.93477723239227,33.59007254696747,29.80463267755606,32.600152507647714,28.291169309901086,26.444956486612277,29.23455277918175,30.147996517559022,28.16316348578116,25.158935768517363,25.265057443902045,24.933311383297568,21.53681714215955,19.74734910624484,22.145568155594958,22.034690316243392,20.70673257740429,20.77890858416324,21.825978075489747],[10.67308085933104,12.541444804285975,16.491683253800666,14.473289042102085,19.50380817791454,15.204100396551533,17.745812384830288,19.64733467671857,17.801592710717316,20.968689383471833,22.21774697612928,23.68447240035159,26.147870202503416,24.33918103250482,28.40922637869662,30.418163471822083,30.476510615234186,34.69931187266897,37.70797803460723,40.233059937394636,43.5880978551093,47.26153648101529,48.35607655613582,47.85065224467375,45.00144139019498,40.8795187965309,39.07864616575734,35.01276928310391,34.964168269920165,33.669443549756544,35.736684857706074,34.78533371563464,37.311211186577665,41.5246732903503,40.20865779979155,39.323300851675555,38.23818961125784,40.15237182398418,40.47236469143388,46.27694308835859,43.76788451935636,44.292294854845494,48.723345839330946,48.86182579545222,50.58393911791419,49.93381685910336,54.05129681272017,53.10225456327805,49.29463764858134,54.0317345131122,56.05958959093109,56.49769120312136,57.220036223681014,51.607490238302425,54.78024175577997,56.98726253690225,53.549410981468874,52.281200237621626,56.62857222764233,58.483178769129,53.973034084417634,53.9184672845403,51.17007092425298,53.292926882294765,51.64348864101318,47.70083597385994,44.82844708274018,41.212537625768576,38.699670601713024,35.504997224813884,35.0301473027298,36.85344812470992,38.37102767300233,42.60167931475557,41.238341509373555,47.199193101908996,46.80957149408011,48.76779907384552,48.28339105190773,50.083241311021325,47.667518037968165,47.794473769920664,45.019873403830736,46.385103039160974,43.76452209635569,41.96890387449147,44.01773189203959,43.56487298994765,43.66904713993961,45.337976624928324,42.98713871662469,45.221674863729376,41.3446569913667,38.705838485600026,34.18117433529724,33.51966512008349,29.483238853243765,31.999562268732227,29.238450149846717,29.436036724590554,33.20288707018714,32.13020370201522,35.49437510636249,33.628386363050964,37.70917612795527,33.17547566733031,35.38345043821536,35.450227023238796,31.241319605278587,30.281725240552753,25.899017552460975,27.31197849859202,23.50389076109717,25.66839747981784,25.676139303741543,26.997791141717176,30.119500883375235,32.11160570381763,35.40257712767269,32.655951664180385,29.942346421993822,26.695457498871725,25.701499538464677,23.377649229664566,20.656353780568164,23.93376659265363,21.65172176224981,26.288503721097598,28.71319048584532,33.23171148033095,33.43783964108418,37.070532818120995,39.06185925514113,38.96352904403366,36.33818352218178,32.7880428506158,30.738116660269498,30.51198172989255,30.038874126798163,32.05712716831594,34.78141458935497,38.96273152847508,36.915614138145344,34.469342433735605,37.04346428257588,34.48570059840501,31.74697766351908,29.818854698165502,28.87948435326702,24.921333625154553,25.290624628660723,22.840567596978033,26.40507648371633,23.543916417409097,25.436286771912897,27.818596369983037,27.288458520605364,28.659669720941665,30.416115434481664,31.173047181052958,32.7974415684399,35.4907374370295,35.51590187554599,39.43469841172438,40.4447519602642,39.69330235797816,41.38818824256593,44.01363499076735,41.16041837342157,38.02741733802925,37.264738181167914,35.47215190545993,37.63836456168623,38.33065126725213,38.407155796041835,38.078531039371626,36.28227681596659,40.73873411107781,41.904819265236746,42.34740511374769,42.94742128557668,37.794064495965095,42.59726677562436,45.49435863941809,43.29443324358748,46.452684147699486,45.380226491348,50.18667039711253,48.95833327813311,49.76803669756375,50.63513721282353,47.463211236193374,46.23613512404868,43.350959346240096,42.95648953339682,42.32079688944182,37.55831726588312,37.73250485583829,34.43634903135438,32.2562205592825,33.81262801432399,31.342293546746866,28.35172445175689,29.248825922762457,30.270688230384106,25.72918072641799,24.176318699435612,27.007682511481995,26.648913319804784,21.11349853667935,22.33763691679171,23.891949846695372,19.996515586397926,17.955042210705486,21.79986122869292,23.36402455446449,26.86865798339446,29.7977969201423,29.72881537265009,31.601790932929045,36.82742774986381,38.925122746659184,41.91040043512831,42.266924573111794,41.40841084498415,43.87730274852767,41.81774283569322,46.39282506266797,45.19303916671123,39.7957617995447,42.77161283412542,46.59411575218651,42.805718057160824,40.974660930630726,44.70909908318551,45.07190683758304,40.809237996760665,40.60750609547772,36.439070837064286,38.20183371524137,40.46573278202887,38.331691573014645,39.6870833842981,40.80409283770387,38.3534073533121,35.62361352026249,35.7596350983301,35.215467264937374,31.383483550365447,30.31327904262653,30.490059491523798,27.794189546581006,25.665401527515264,29.688976013385368,28.44903612862594,23.663268813279576,26.30848581457573,30.088955624860652,30.459091456659923,33.8365163550103,33.92678652665193,37.97406287098281,35.91824440499661,31.415316464184098,35.86283686371892,37.27419805959676,34.13205003055821,34.15308617977294,39.888370685570656,38.44580684942476,34.097063179325815,37.405129466132415,41.53946665410442,39.50303099351026,36.1992857037135,31.597509538120317,35.606531925440464,31.581748218867542,30.427553436030394,25.866390814135766,25.23924541959828,20.498069338238032,21.71485186362085,24.37380607168337,28.08765904416634,29.06311401278278,29.286881662648153,25.988178019234937,28.918340839352467,25.123464363065416,22.473897356664132,25.30527182319333,25.710044690840842,24.275135096921687,21.319387621501942,20.511458721133025,20.276552704657682,17.86903933351146,15.148230757864988,16.849576000527218,17.122880984820533,16.399993727577264,17.09062480603638,18.660934564088112],[14.520021872358578,16.762153481652486,21.016479451876993,18.872842029437972,24.094577458372864,19.95708662161108,22.273690634540554,24.08335469832028,21.75597438657795,24.607134033993674,25.43131941112149,27.04503988708042,29.742312941017296,27.45694892682639,31.334074020977457,33.6627226713428,33.814725893680574,37.79743046199612,40.60622345444622,43.469061635861635,46.62350434406331,50.486392926966026,51.36510930790159,50.8773606148277,48.25819968315684,44.01383506974863,42.53546694460204,38.49497410813078,38.44093060406843,37.286255155176924,38.72930129399772,38.23866749219217,40.48492484990016,44.61421301966799,43.6060097748294,42.71915971470636,41.98315399747883,43.861584829224235,44.304579446194225,50.27946905200133,47.57691538050771,47.825353689984716,52.29785457636602,52.59199102671138,54.262345133901896,53.78247722645778,57.86601270808951,56.90662984773648,53.29944219070208,58.124136970315504,60.097184045536615,60.66280380110554,61.25680082910458,55.65234410855685,58.7804401916769,60.85227272333429,57.282778522112984,56.01391843180337,60.31578021506098,62.10263165567023,57.425996238821114,57.14673630481999,54.30697316978668,56.2172948240124,54.78202672622379,50.932306292515065,47.66317258379408,44.09228457939591,41.24314198358213,37.96613785370041,37.27718608519769,38.67746480701361,40.48365306107909,44.894354271663694,43.843745637035795,49.74172775285181,49.78579900999662,51.74504891085822,51.5608893985121,53.578201549985465,51.3983226990648,51.74788057750378,49.1387171617576,50.6572749939159,47.94272785416872,46.002906857230826,47.76871844480266,47.31205288776492,47.06459265588075,48.550183779975654,45.93330839277696,47.799761705839835,43.89654735177018,41.37007566861512,36.96550499396695,35.90398789242584,32.01245374848802,35.02943262219658,32.538705154753245,32.86056392141112,36.88840036506884,36.22640604700048,39.61205471125114,38.06314588019294,42.31072893634359,37.861372288704956,40.14902938197431,40.256558477991064,36.055956324466344,35.06799828630902,30.684341253795026,31.942611319911542,27.98377365636076,29.956544907942977,29.532700844832693,30.71427311717192,33.59676329574191,35.42147586678358,38.33713159515677,35.6840833502408,32.829599578877705,29.79311687025347,28.932426327230317,26.987624421427753,24.64770186139537,28.215279234246836,26.32879790920937,30.915536648068286,33.432575457018274,37.95959544080087,38.13708493759048,41.835797781371305,43.7451809266875,43.69042896307161,40.939015344257534,37.30706922814243,35.205691422650176,34.725322944960425,33.95720913053185,36.072417329983615,38.36546832293719,42.47554149131815,40.42797643154471,38.217112465790976,40.88297016941668,38.3257788219273,35.671189957466154,33.88055206266415,33.193133599675036,29.196204876549828,29.771342748423983,27.018491262971587,30.542571927155162,27.197742419521468,28.948794048046548,31.671448511346505,31.219222022729298,32.9312548790418,34.51461150359568,35.64451834356036,37.19197251082848,39.62345480740566,39.633624481169214,43.58201837240096,44.70794269464614,43.78796549631514,45.71062833252956,48.21537158659332,45.42336427292742,42.19074779122977,41.61039153075665,39.74698222585628,42.04398825150473,42.75780935804741,42.77378649167408,42.48668771395944,40.449097028043234,44.988544915828406,46.210034137201504,46.798825241715434,47.41512158892961,42.3980206707096,47.246605053163435,50.12250690384197,47.83542113628781,50.83286307313108,49.57052408377761,54.430930369921754,53.06181959061949,54.08326657505357,54.991773032235294,51.90896868165257,50.74123717298388,47.90779852293143,47.57388033417979,46.938975077268715,42.14996747466807,42.409961471873416,39.06285845043654,37.00579466583984,38.46365100815836,36.052333062443886,33.10342942132816,33.807567902223624,34.76728023553095,30.30359406579726,28.597735340856694,31.259301706292508,30.882048342038573,25.401594471631427,26.313444514886598,27.645720408347515,23.880435172021656,21.70574336030219,25.044019977679056,26.829121567801344,30.112282920058373,33.17482485316727,33.47240855095036,35.20371481037472,40.52287615624769,42.32515710265231,45.60304620931075,46.18982878540729,45.568924334900316,48.17067015727923,46.29742990256314,50.87212531200399,49.5147804835618,44.24180066292253,47.34692661090812,51.061452502668544,47.194704002465144,45.507580971586954,49.29918424330556,49.45007820883033,45.14144728919577,45.15444315961417,40.98599260195887,42.939420035816696,45.17508443846061,42.961188649515194,44.35289652353197,45.318603209771226,42.97307375352117,40.3023529706044,40.209132485947144,39.63891094082486,35.967968284015654,34.79428289269358,34.721454491236905,32.00012427610572,29.94662346587123,33.69857586156734,32.23118454049081,27.460268848453634,30.031813699603962,33.66819944970379,34.24715925371131,37.80404209347082,38.18704569311322,42.17849565861627,39.84654344313363,35.566994558861666,40.1683392414144,41.33391149436479,38.123307618129594,38.42581518679293,44.052145210351846,42.30584439612549,38.082872572056715,41.60960605316792,45.540035272233446,43.2408388484583,39.98478231380898,35.346650828302685,39.00933219988177,34.81804033345745,33.59731478006008,29.23631668894381,29.077542915112556,24.50832108012593,25.29098734794408,28.203223255215008,31.779756834900848,33.084666810365746,33.56592363002232,30.506342128062386,33.59578055406267,29.823287390576517,27.22855949944555,30.10070679986755,30.391736343689978,28.926252587505793,26.113327211956413,25.14705061648516,24.743699247600357,22.539354404216656,19.872764419707686,21.143569007895696,21.17527183935775,20.49723841220193,20.98102721014311,22.490121714534276],[11.382094104543901,13.850844655771157,18.585380277357007,17.26525727303781,22.89106341148332,19.776349109080066,22.85980123706061,25.081927327530675,23.708691722049153,26.853360907927776,28.292228706627377,29.793628914710048,32.094407078606785,30.24382391888108,34.46072129841014,36.45407081690702,36.273725818445136,40.51020103510687,43.25923446048586,45.85215905861157,49.09538771585763,52.73645693316337,53.67776999380604,52.92983027620505,50.179096595222056,46.114205733714286,44.38759253331827,40.44803821393227,40.69564027871751,39.54892994124845,41.800250044725246,40.83621842954991,43.43112785047994,47.64740393189791,46.245433482062566,45.25872340747691,44.10756827994385,45.80712309942571,45.89678824319364,51.6060101862167,48.901635215304935,49.69176882291746,54.13856402466527,54.096032121256194,55.590002628112,54.717410683550284,58.84296515748136,58.18818453014166,54.2818807023161,58.81797203498903,61.13575136143266,61.57924618276027,62.52151536903396,56.932928543988055,60.267289725695555,62.4790170674766,59.06218082670559,57.952520635815844,62.35526081798524,64.08439157503024,59.61324438871836,59.73147501371044,57.083807498955736,59.079946144551045,57.319994467969835,53.44803828685886,50.511119074886665,47.03655808913493,44.36309730031094,41.32114295891648,40.65961694496419,42.383790142388854,44.156667502920776,48.35309786727342,47.18155042593876,53.193806083321284,52.771991178508735,54.83364797330173,54.27608333413703,55.95775203407443,53.510054919263204,53.42705317243162,50.61669704856313,51.7111752751462,49.062293697929974,47.5392002210613,49.71070276305652,49.423120459243286,49.573420142245205,51.410104328083634,49.05690652789942,51.30961728053497,47.45022958328602,44.8467993136722,40.3151160705908,39.63607229314051,35.60053594453779,38.139939414939704,35.33140157804985,35.32276785019615,39.149691595220055,37.72149746700195,41.17025116110788,38.89284017441664,42.64531278246268,37.88985186226547,39.680097583876,39.384778296871225,34.97965038486715,34.507565309190795,30.186800866698288,32.081486308158965,28.647786322775897,30.690551234752416,31.121315405109282,32.100828741757816,35.40761126265162,36.990975847763956,40.571942497144335,38.17077367659593,35.288977389564,32.14141592206719,30.650142810767314,28.42151346460579,25.78559591793523,28.493363711034434,25.979847197576664,30.58118456067115,32.7049631227736,37.44006005871977,36.909787022129535,40.54093621526867,42.70809648579715,43.09874489995536,40.293923650913456,37.03990683628111,34.30008097095982,34.47813450471834,34.07323376515041,36.52997763238986,39.002564491494034,43.42794779665064,41.7816535290043,39.35905944772997,42.12117065578577,39.88626930389447,37.00678073298725,35.29732696687383,34.24135191734467,30.457141764495557,30.571238381935604,28.44089406628333,31.71249648063798,28.804565612781694,31.132140003168256,33.531200029528485,33.12623386490174,34.18058051318795,36.1337526315162,36.40589283649575,37.853754428924816,40.86474299654468,40.43616918067984,44.53078282509011,45.0910836353583,43.86750215773036,45.39242750352281,47.69243266207685,44.545295671464096,41.623684648313436,41.04530666434335,39.69368789994124,42.20585718761738,43.19440044427817,43.57756488977218,43.353018452125625,41.86976041233926,46.2580660050759,47.266765764677,47.525804509164274,47.86985544028934,42.55437943847675,47.03818499263278,49.7853563052837,47.65547798026892,51.14653303756574,50.31302233304262,54.931607463862036,53.41964136064574,54.06100413727387,54.61039198444583,51.56325949436326,49.96212133893261,46.940759475046924,46.30932066625999,45.25230809863495,40.44643041092529,40.48189410304997,36.79707330019234,35.12824142301193,36.012354516604034,33.96637761810331,31.180055196313905,31.124461821965003,31.959098253824617,27.823658909578665,25.684748159103936,27.91819917081731,27.831882714837537,22.336009684919148,22.643014376451323,23.833966253782858,20.5303736614353,17.908382156440144,20.63286475053349,22.526016579180528,25.678440561237394,28.703931787780352,29.35648712559553,30.98818307999223,36.34373407323964,37.986247103709644,41.43380477148949,42.40271373315593,42.06543703954623,44.941779943058904,43.49399210638826,47.933883530262534,46.17800751204939,41.158887469861796,44.588644008983955,47.97049813452232,43.96588666086569,42.658926314184946,46.63757083106805,46.32795337679416,41.98657849971044,42.685221214612696,38.30618877936651,40.872795206418054,42.91388097943942,40.51864847507265,42.304169265969364,43.17182107886473,41.335272905139306,38.36646395085102,37.890308861534805,37.83865560376343,34.339335977748284,32.503780407587485,32.50397836133241,30.054801161508728,27.519966700754306,30.870559752903212,29.621077537145506,24.853020085219203,26.728877901954014,30.263797260211337,30.701956044584144,34.491847402124556,35.23303562097315,38.974964345294865,36.19566068352339,32.12547073365381,36.91399816512156,37.60909252102471,34.29477414292323,35.019127173809984,40.40677936042603,38.2469591129261,34.272787878639434,38.14282805673138,41.695069777377654,39.13348504117468,36.04582103070243,31.47388963468923,34.829938768497044,30.682499174389672,29.102917520361366,25.098280546435912,25.255839159660155,21.034067178317695,21.642012879027124,24.82474901032051,28.265177273777713,29.977443464590788,30.487150059946867,28.201848889220788,31.64595198864563,28.47991961975403,25.50934619382545,28.824408726949976,28.78919872548415,28.175771678124743,25.137004237162998,23.30102863229141,23.456526485419715,22.226724439864036,18.43079196820621,19.103225763324197,20.001555721137713,20.118410855782347,21.27559923119189,23.132114725617313],[6.488489661815559,9.479604165237745,14.504437652132482,14.773563035108461,20.113667926358566,17.252032149336724,20.94874253238047,22.980106264422666,22.675064973022433,26.34177535812299,28.159362319587526,29.148245367949375,31.393945348196688,30.34549505665332,34.549993560396146,36.09089393704656,35.985365272688114,40.46621877402342,43.52908992653013,45.62055912601719,49.13088499194627,52.484862161304235,53.73697010990654,52.9936495820352,49.941350675874176,46.08725598161301,43.91407221621417,39.978078330849115,40.14278320906596,38.681501739695086,41.647732642919905,39.93935555859082,42.71244994239641,47.09513886457987,45.416195605590104,44.615285403452745,42.89398458133788,44.81844282677926,44.77018488655789,50.10495953878614,47.810641465819444,49.024896489792326,53.36076211089903,53.08054753124046,54.65315783139491,53.48327704556734,57.635940431740934,57.01465661452514,52.78399395699096,57.10029750621246,59.50785166230468,59.68379033403338,60.84631430012949,55.27587098366663,58.63208977609123,61.09759740154579,57.93943671505264,56.77047975865585,61.18589413584172,63.08529866281042,58.912264138932876,59.28840733290118,56.72368511941301,59.07698639356439,57.0902046151028,53.09032934561788,50.73842242158749,47.17805775868104,45.00310363703402,42.0093156172736,41.66541746041949,43.80686101504932,45.169768488975286,49.17844557040555,47.55812158965241,53.52774472843578,52.62954058077688,54.53744890721794,53.64269065266618,55.07298423339022,52.2199527969981,51.8600151823084,48.6808036030244,49.58433302435013,47.22786846939453,45.91838079939868,48.57102597913382,48.12657233262017,48.90144473342575,50.769964423856855,48.85718275018707,51.482221540101655,47.641461801499304,44.82357501613328,40.27484279479189,39.95928719977139,35.92021330692717,37.6440128641346,34.479587607205495,33.875201734542905,37.65306078153441,35.41192621618856,39.09406251413452,36.15756345381117,39.63439510137667,34.754400475285905,36.034556074622635,35.671552181288746,31.204913073627928,30.8912254166922,26.85075324527383,29.44095078930135,26.557796587534863,29.032468803996647,30.2588668861712,31.46175407698242,35.055907153585785,36.848217601885736,40.885609206711315,38.35888907475047,35.73284253314906,32.37148805814857,30.756182316993833,28.052905222971876,24.898041616625513,26.8553486654219,23.355716509660567,27.945497174238344,29.597278916407067,34.28028674170173,33.55141030523478,36.870571398081886,39.435538405098434,39.84143089324604,37.43790140201997,34.551398921503036,31.6953341692187,32.641454030821244,32.843283436556426,35.19222682202164,38.30113525021061,42.82836962160895,41.25987856087519,38.50201804482265,41.07192286620466,38.847976659110394,35.89629477046211,33.916743417123534,32.33491095720734,28.649180165756956,28.048018278737334,26.322070260071264,29.076045648994363,26.523997408456083,29.421815682276524,31.559588986222025,31.436946423775225,31.865146470346943,34.353747269917385,33.96017834049116,35.745563997679696,39.239356442688596,38.89800630853393,42.86586794868123,43.1600953170526,42.19006794917407,43.17500413635265,45.58578259042147,42.21438392621469,39.63396013729505,38.747811886848886,37.7241449004529,39.986969452161404,40.92377182472522,41.396124886949124,40.95018854674137,39.967335601099066,43.98425750695421,45.0760906287977,44.96794733587404,45.40664377308575,39.76448592491228,44.053804909017146,46.825859013395615,44.98546095674729,48.88132181818999,48.48905880533955,52.936090677046735,51.69081937186647,51.853440721731005,52.21909405848885,49.02576409767661,47.16495922687678,43.974333806916015,43.05800625412763,41.735359639436425,37.01761420121242,36.622064618605954,32.753039353800546,31.01937140122904,31.426112236983883,29.343840298543455,26.87316561122813,26.58642601532584,27.026965338196277,23.01510553034791,21.245611177413235,22.985171373703054,22.586105259047642,17.337088670034017,17.61746226996843,18.504956909488072,15.174567950044848,12.822146085961396,15.556982269951535,17.714247011699186,20.511165193474106,24.1326258353361,24.42567953187604,25.819969591100616,31.200345363436654,32.77493742887423,36.23401638080562,37.06498624443044,36.805989398995266,39.691202545012345,38.3729017413338,42.84807021237211,41.067713935024926,36.22494599381186,39.73233967975742,43.14112402795044,39.255565804889436,38.09100335650526,42.18392043866142,41.9497499060533,37.68002581489161,38.666274237361144,33.97564928926935,36.54085345817457,38.314199985586924,35.64286372009097,37.460971669439544,38.12849942509707,36.56741201006316,33.598767182559754,32.78189586803563,32.89826926398639,29.599230335718214,27.46438647141712,27.36602716977077,25.048816384789646,22.370612649329278,25.518061819461618,24.342217833238383,19.605547022027505,21.285857128771106,24.81440711806706,25.256580956542265,29.068122463998833,29.938058616650345,33.64818399952193,30.815317177215416,26.898337271931013,31.7659771784872,32.447708177590684,29.21205412909032,30.18276878763433,35.47685934071973,33.44414673416733,29.697901827755654,33.64762802579722,37.094653652493655,34.742918370519895,31.84899844959982,27.440401915360415,31.05434151851584,27.2631295069907,25.142664914643465,21.348341937065697,20.936007036472375,16.78894855461482,18.21698716495412,21.32017959041283,24.87173010054925,26.453173239590974,26.384889018079644,24.47618570943076,27.800763558309516,25.166770147186494,21.593489927154494,24.710995430101924,24.24625961531654,24.1279553248841,21.288311454507046,18.737088595404153,19.013447245048653,18.766402229291117,14.441431271414547,14.291062668369436,15.659269658715912,16.435674310248217,18.098635915253297,20.24612980944363],[9.33964938692118,11.298728811337902,16.003428612173778,15.752479902651313,21.39817299632181,19.934894637823344,23.613266117113458,26.292711590104275,25.99785892325192,29.214465797386268,31.312784849763418,32.75130470970322,34.41511672210882,33.051572615282424,37.586113753363314,39.16424425000535,38.534801799938265,42.96907516782298,45.565168437878775,47.80596758248417,51.09596662599667,54.42350385785435,55.41876053744634,54.37359898110601,51.48993390017042,47.69899534131959,45.716884245053215,41.98118568955716,42.61878347356422,41.56485768005244,44.73547050701639,43.30420898900057,46.316569063628585,50.531084689864244,48.64586735424173,47.490598801002086,45.90990761064643,47.28301248608716,46.93256196976662,52.249290471953984,49.529329773695714,50.96435680689284,55.33147217651239,54.87211859552636,56.11495268890618,54.77764406091971,58.911449734080925,58.645183192909926,54.434238322495716,58.57178425502841,61.302415774837065,61.62040483027617,62.97727646826607,57.469589785855824,61.03516829731691,63.367303452040076,60.14178246723611,59.26674268600468,63.76129829628482,65.3634018945879,61.16937042018819,61.79033149602729,59.42674669517832,61.4688452346898,59.31370495792779,55.475671433891144,52.95828491021907,49.66546993205215,47.217333355970545,44.52059351287197,43.88453474569957,45.983952353044096,47.70858158937082,51.58052460030236,50.305679895365,56.41576705879958,55.41937792270813,57.63121958947052,56.61688800971552,57.855825430397864,55.154093518348354,54.524375227275435,51.57325929467939,52.105227586029805,49.533677094296955,48.55107782815138,51.14268142962256,51.12909020747433,51.69702837315267,54.001246307763985,51.95767654755212,54.66385118123009,50.916327209073586,48.29464461745654,43.65424499112045,43.46357032823651,39.29648325253751,41.31950027281713,38.238927906778706,38.01815204670244,41.38443254737347,39.17940181213511,42.49822850812157,39.46220212871563,42.47348297597261,37.455158614755476,38.674113748267914,37.8233987850893,33.28086531024798,33.50871741863073,29.36215934767321,31.855834232426865,29.165061458970342,31.118390878663533,32.511648672064574,33.181149334935895,36.87888239734996,38.124407865237195,42.412241027050044,40.373933941107595,37.51755844309483,34.334256997780415,32.15320901992805,29.692544275356664,26.872421244728613,28.438542742192663,25.400137782541965,29.774908337821714,31.37743239364806,36.25220036381388,34.83055636729503,38.349206396759364,40.71822265677864,41.690252640158555,38.79512809981438,36.06277480972959,32.59781621404883,33.536487449683015,33.56670196376208,36.369634182292344,38.975463005697726,43.68139080092413,42.55218292300199,39.93788729729146,42.76719157143583,40.99180658231839,37.90934811505512,36.3969465461322,34.99494713898933,31.632604309664885,31.329002639009065,30.089058750962856,33.104252344480834,30.973832951080322,33.72046656588952,35.57492719332515,35.09812245150485,35.3734222197429,37.590736299867864,36.83649694695213,38.01237831831442,41.61968892828482,40.617137778638686,44.82709973933015,44.68244136592218,43.08082435682887,44.12073097039589,46.11685540971577,42.60455934685947,40.10744011103611,39.562777504524334,38.857425131416264,41.61116611323035,42.94522394753394,43.79348113159428,43.72140603597969,42.914298205212404,47.107219309128936,47.7587445918359,47.65444272755932,47.58691705303622,42.06115466654269,45.99679268763967,48.51623569189134,46.57445587375053,50.58116864595511,50.25607974088751,54.515861580256846,52.82018953415811,53.017312631356354,53.12886493711342,50.18070230120281,48.092612614870575,44.90814142049159,43.953317938269045,42.419231171858016,37.673494413999634,37.501528531117586,33.497643600387086,32.418097523631474,32.65988380429216,31.210713012296885,28.610217468809186,27.56833629538799,28.386549621380286,24.815748690074468,21.980996206540038,23.72446829503501,24.290906849195924,18.840709290767013,18.246101986395043,19.444480677910693,17.05426028560361,13.660570713798684,15.428426464204671,17.188785406774336,20.4241281641643,22.96729882020081,24.13780789515279,25.800782240016964,31.10595915563955,32.72592746777911,36.22066508866382,37.68764520569775,37.59393058005313,40.774200727824756,39.81122419106969,43.97738656719451,41.74930424953672,37.018396751493626,40.779780484105764,43.6793570021735,39.50661862130963,38.64258156142194,42.77214653956886,41.87388805088746,37.524258282261705,39.003939343088106,34.50484453880837,37.83432438214934,39.68084706856992,37.22456693258416,39.5286883746869,40.424729299170984,39.18439354631871,35.805114792403664,35.057426439230326,35.73394092729673,32.3950037157718,29.798618572552964,30.12078820822466,28.138832653526777,24.95427571774022,27.816592688396156,27.08657242057373,22.49384571476057,23.24966097824459,26.635813533763734,26.665387270979664,30.633618556787972,31.673891599898237,35.01072313011101,31.769337231153973,27.872934353561494,32.74764643860408,32.851145759446574,29.411513829375075,30.5187217455342,35.57749724044905,32.9189928224513,29.198769880731415,33.402038241968256,36.49930297628619,33.62222925017758,30.711358462255625,26.253630334501683,29.19864963894162,25.132579217282537,23.211435532228013,19.649652042558955,20.290215947373337,16.710639788037422,16.9133241230932,20.340762845932083,23.494810357697343,25.683178948706672,26.299150479820433,25.05855765956569,28.873500448232118,26.552810744871692,23.3698101254637,27.237388962745715,26.951327670998392,27.45127382158701,24.11117033825057,21.43511937373616,22.50964763808872,22.318537058266617,17.40635321920673,17.582284942320555,19.72434042391569,20.724179878256635,22.591964461816758,24.630825844050765],[9.542103369174646,11.623538255722258,16.162905380538167,17.42589500060463,22.604490814471664,21.49530867661687,25.49231428384413,27.89627907391952,28.272635965840013,31.810427917740586,34.02037846358686,35.06279880591974,36.82253118650565,35.94850968860554,40.38120432157809,41.70888043322458,41.20829674192626,45.75557071310846,48.5500329264387,50.4904977752754,53.93097055690058,57.075614665626276,58.2572007198587,57.21244575062794,54.16452449000802,50.519877425706085,48.27793080947114,44.56612294727474,45.12001549220531,43.83413243967396,47.356782551567996,45.451571796923595,48.48278511991463,52.820400482599936,50.83192479123213,49.85900775376696,47.90770572674859,49.48132571004342,49.05402533621563,54.07344692526166,51.660173903434455,53.372562958244885,57.64215770738792,57.023578104141485,58.30264789175538,56.75011541336161,60.8722960320995,60.65627384045205,56.23560283767489,60.16540544603437,62.96729513235663,63.078809372782125,64.60549516650273,59.13780039749415,62.69462822694665,65.21408856990726,62.190457688724194,61.25897853702179,65.74063295046459,67.4765998176885,63.50087181365542,64.26448291057892,61.937370700401594,64.21492332611531,61.94916705902856,58.035757320967186,55.87801650017503,52.523410017763695,50.370308660279676,47.66802268951016,47.21906068130308,49.49356515707775,50.98628537381625,54.783740010269554,53.24352251305867,59.28529752817293,58.05725968371757,60.120441221060304,58.93294318659339,60.03633774175345,57.057048730550314,56.26489159782046,53.03550656888252,53.443632351612386,51.12240659803537,50.29248040170986,53.20936225315978,53.040611083673056,54.03780897138499,56.27485567424755,54.5188907039404,57.39229227065931,53.639553375776835,50.86346383570505,46.263808047995695,46.20184264235985,42.096195069323116,43.61478113278613,40.3336883783425,39.60096522882938,43.067152199851556,40.2912238021407,43.84594552227808,40.331284507604025,43.1207109266753,38.0602176279404,38.74934688023371,37.831713087111936,33.29289956449021,33.70844656396687,29.929497025976406,33.00000374660884,30.791625194694245,33.037546444319304,34.933249482715304,35.745687446981094,39.57957678285117,40.93224061449277,45.45435286101456,43.343839183677744,40.65090214862816,37.37068372297789,35.15905615842038,32.46064747326144,29.371203378387364,30.40226013283166,26.687960658254546,30.94471997943317,32.08380348597755,36.83884414231095,35.15177411714246,38.32206796627426,41.05070577563127,42.099643348813956,39.569257116029995,37.22379674181122,33.62313827309605,35.19267323577244,35.65505983769682,38.40231359980661,41.372505010642705,46.125657840793856,45.09146185603621,42.28715156276904,44.97350539229533,43.219856483977104,40.11974208327051,38.42522716210854,36.657001338619274,33.38369218777384,32.510049098597506,31.490707236933382,33.95049282575221,31.90542966953357,35.10663568153822,36.89693187147464,36.74353723890724,36.60248863879708,39.23945267153704,38.03923913626793,39.4974075190214,43.427746050449336,42.49702261846582,46.58138773236258,46.208898290843415,44.753093598451,45.34794358198471,47.347428362922116,43.63864961745036,41.481680622995455,40.74453141353479,40.372111624663404,42.94283127903622,44.24341302392563,45.15823669153245,44.88868088456059,44.46282395856873,48.30864528143021,49.068705738898764,48.66102018565336,48.686764840147276,42.92935602727628,46.635591661439044,49.1371585254016,47.46848899874912,51.806606541735974,51.842651166044064,55.92799336423262,54.40708605758688,54.216494360666644,54.12984508122015,51.10896097139371,48.759569606097244,45.44056005768601,44.19939787852255,42.34553026832287,37.74174551130006,37.13927431414452,32.9245052531857,31.95032273514982,31.49660135785669,30.158832912791457,28.032405795502555,26.494135100003195,26.77074738865192,23.618258655213605,21.107184227687018,21.9479382207555,22.214001422690437,17.429284055259537,16.339153474011443,16.82150940415963,14.969456201787917,11.926401074510691,12.520475125346413,14.793795195869755,17.091691658617197,20.409984846429452,21.605829798277554,22.74681550211448,28.05596898518548,29.238888729274656,33.01772387677431,34.6323526096891,34.91863701086769,38.24292888244574,37.6959386488746,41.81139042634018,39.36183622073066,35.07073556717718,39.033304244018524,41.76424278639924,37.690889542915166,37.2031099128302,41.47763906861462,40.41551809251472,36.17421946851933,38.255499868310395,33.45825072177587,36.976575381107466,38.4395103693048,35.62541830583444,38.02809039830483,38.55054471750715,37.80529664397762,34.48538689246295,33.131541161559184,34.05906979891131,31.16991236726889,28.126126164180853,28.153842599281063,26.426870859600523,23.172342299473264,25.35328554161618,24.614103670067795,20.308372779450583,20.47616744517619,23.53442525751703,23.69909450620093,27.808575109799353,29.3203842064441,32.42671240503427,28.821174271535867,25.47341928936367,30.488067049864174,30.22626468159856,26.866462583526577,28.604052460240126,33.28196037181236,30.43627721270021,27.26002205747422,31.737758242151592,34.38144935586536,31.494358218238443,28.968622160545017,24.817020304013766,27.576943940697692,23.92240901651315,21.200403626232433,18.402464916221167,18.87857231077866,15.939652122847669,16.623380412327478,20.005196917096647,22.96994641706598,25.2901141710278,25.445482300827603,24.994915634924148,28.720929550212166,27.099325621505425,23.429545204477918,27.020550670083644,26.183337945253342,27.245412828948197,24.2991968495452,20.84534196298477,21.945428930425194,22.907636084627377,17.76821878800895,16.804860302194147,19.189658819571385,20.81026211174322,22.98042454379711,25.16737401638014],[8.938257265896423,9.659701446896904,13.513745106239284,14.47953924759905,19.549259974147184,19.56244448368079,23.508244239811795,26.389896756741962,27.037032906720224,30.24027734643602,32.81191007688695,34.10563228421327,35.220194192466096,34.38647845214758,39.04418145557733,40.204899550194895,39.2717474653676,43.81649514239539,46.34312929310374,48.181789859663205,51.530664729030235,54.52897364920162,55.63737825269902,54.40410289215567,51.3784773982477,47.881231805551444,45.63108353663238,42.09907928868036,42.98022144513858,41.95571964771255,45.88483204350601,44.012583844644226,47.3360658513286,51.508064329732164,49.22658133936509,47.98446877930411,46.01258263929413,47.156655397058685,46.46499787593867,51.35103058676131,48.75138183616725,50.71701529071514,54.94720594542564,54.14514393828977,55.22826018011588,53.517206648108896,57.617272004088036,57.61954361543168,53.16651221185772,56.936176360953496,59.941367650208385,60.11292183540653,61.79567454752651,56.40431902022886,60.10918982634722,62.55460563651253,59.55043984092295,58.84298584657399,63.36798951629069,64.89908022730354,61.00693002093976,62.04309474203025,59.923128214682414,62.06354496098155,59.59138047295142,55.781628015727044,53.731103609950104,50.58123954313226,48.44591142110911,46.039175621519504,45.51197816466437,47.95659887507995,49.514462833944926,53.06599034536229,51.62531966467904,57.73440794801237,56.22218019658235,58.50019338799255,57.08712243240753,57.935440025683754,55.00266057827557,53.92323534852452,50.84970409065043,50.9215803585877,48.48218493413924,47.95181461559586,50.903292772385726,51.073957662625276,52.04990136762893,54.69332125476534,52.97929429596721,56.07223400449189,52.45429213654868,49.82027591321648,45.15203304995664,45.40414771159197,41.19544745468125,42.67993580752822,39.40848151498804,39.015641127512104,41.896949539744284,39.067360307205654,42.20370656445581,38.57660978018327,40.90483040691668,35.77119184012639,36.4826689911493,35.19366799470635,30.642854835254823,31.44983251503132,27.585749722589366,30.531976012019193,28.583490948085966,30.46655669235855,32.66505533153714,33.15217496876755,37.09214698988368,38.14461175743173,42.94581811965552,41.14774042810634,38.4358860802581,35.24588412336751,32.64169178618208,29.97706682103991,27.01876406490124,27.541253423948202,24.05960533697787,28.074027950561817,29.150269858967555,33.993857989315764,31.898860959988248,35.2227390273369,37.75668803964038,39.14548811143786,36.29843183127291,34.07665246499634,30.159048492811625,31.796109844491717,32.29521134336875,35.22203625733387,38.05396261923696,42.88600396483136,42.133522830427445,39.345520740105414,42.11573064001357,40.69674731049487,37.520051437676436,36.132402165060505,34.42587485470131,31.50490910167417,30.828766032511428,30.39531177337796,33.120192575428256,31.781433810985362,34.75143001307862,36.060694161017146,35.52298325754391,35.11990488680664,37.52109017128898,35.90812783562493,36.88597757939764,40.94249768615615,39.56477279186942,43.751185083193946,43.05124673903727,41.28619160869808,41.8370481627914,43.634629017614856,39.867631351210086,37.78843525523705,37.19014054696226,37.02660165243032,39.839091689626045,41.39038606121646,42.584472416139974,42.604176358556096,42.3935988202479,46.330181449297555,46.6968109259701,46.2719700915889,45.90261525275786,40.262514914422724,43.697436019732145,46.02097248060019,44.28943553629019,48.690944608838976,48.8182576610788,52.742763709729374,51.008969120653155,50.78582026576293,50.558448531339394,47.674735987946434,45.21430205432999,41.919456151908676,40.6918969324589,38.79454902167165,34.17308698256853,33.78133351816802,29.58386202756806,28.972433093325613,28.694851215716632,27.768779425150036,25.37481013316223,23.548985055605897,24.37451820781038,21.378192763240687,18.017847307971785,19.3218019697233,20.553867787511685,15.2937845406907,13.90348264334594,15.255772940259947,13.892901222867879,9.866116984606315,10.724715647978375,12.098593086992647,15.650193080203087,17.546913463979212,19.008255426368663,20.818849603114558,26.017909464688316,27.833126643902254,31.170602192950486,32.928523360336726,32.896643108158905,36.245987260180996,35.58763359355757,39.50097299861369,36.97548597432322,32.43513694905728,36.385832033227835,38.93055966637949,34.669116880653796,34.10712246806586,38.3097839983184,37.04117801355858,32.72258017349372,34.74715858972302,30.178645273624127,34.02794764133802,35.703918550269144,33.26739685486263,35.96046890199398,36.95018829091479,36.15373203920941,32.46183268966368,31.624275583138918,32.90627948394193,29.690821777504784,26.561013145511126,27.294252844296647,25.781676429388572,22.095759425963223,24.587567642742304,24.468454425092503,20.202252935629403,19.928996409119314,23.180508978649904,22.69012936629571,26.654104742945215,27.76927735036523,30.746460778939536,27.285827866368013,23.433031421147227,28.25320483438422,27.96802221822927,24.45694751919443,25.74299479042084,30.557988423189016,27.633112733681774,24.058020158809352,28.438057549023963,31.25170899089895,28.24927867481307,25.463779486849567,21.13027537617978,23.929198460111653,20.049303138134952,17.7939500570519,14.533390467614925,15.362691519575439,12.476681102745399,12.52862467478393,15.98421138371788,18.890647726711105,21.316865508815333,21.857738613241146,21.51953466067651,25.49175233391768,23.990271264805354,20.720259904740026,24.896989645760144,24.457970242447285,25.899432283293546,22.405338753722745,19.198617835193623,21.11007651340169,21.71974761082047,16.240501049821837,16.12676109099111,19.265165569217267,20.852484135483888,23.180272358666954,25.235790159271136],[5.112421180160108,5.940322146763369,10.409166550549681,11.280315661404435,16.4762784996416,15.647029882477648,19.62636039247063,22.34711071120785,22.953629062322932,26.307512354463753,28.815582877701495,29.986334992685677,31.255421818480404,30.546320720746934,35.09891529749599,36.23742491185662,35.50214998805505,40.08205373544876,42.837712997137004,44.61967518344372,48.08480603890818,51.12172866763097,52.36464161973212,51.311428128722696,48.188257756732625,44.624435994085545,42.281022910867364,38.6178195472539,39.268969733200244,38.078548710296225,41.92462966480388,39.97336713305445,43.23303358758375,47.45220045177822,45.24295692697364,44.12117104912548,42.12782485963011,43.50446067191257,42.982847491237465,47.96082363844271,45.535754508318774,47.32946601541361,51.57049282116807,50.9018369784557,52.185536432027085,50.62399503362392,54.75309999327277,54.51682851514692,50.08374307953326,54.036555206408735,56.82770631849923,56.966679422659425,58.49356882435742,53.04126202970272,56.63443140373222,59.11947493596472,56.10366731705354,55.24152934987399,59.7408459772492,61.41164949101748,57.4826278687494,58.3735441845547,56.150552872593124,58.42309324709108,56.04260749668708,52.14856944384499,50.153185601682644,46.87002534257212,44.862779902917005,42.32318166003829,41.9407312768407,44.44079440016724,45.81180846296369,49.41133415629114,47.80768519021579,53.869570204538036,52.395221976310864,54.56132352092921,53.2085072754432,54.16188058340763,51.1976461156019,50.27953551275736,47.147032702178585,47.4406108787679,45.04384089282438,44.30114903367322,47.23196214603635,47.22546401188544,48.235404249643494,50.7121001744788,49.026734395234584,52.098254339771415,48.44986038976794,45.75495035387817,41.10716417128024,41.355201635301434,37.17571581933614,38.55589586654765,35.26540340002098,34.854286336016486,37.796312802117406,35.05954436119572,38.27224141362077,34.79441605755608,37.41965862600698,32.33529674250147,33.28470540440533,32.28580586179041,27.730680542780778,28.16629717413976,24.16981734565307,27.0205944816312,24.8349602616391,26.948889332364672,29.011584670422586,29.772914291283808,33.67162390973195,35.04218985082689,39.704466086105555,37.6349500576551,35.03309519207607,31.7349860990171,29.418993171797215,26.60113687216683,23.447886964237256,24.26620611440393,20.607869754406718,24.856496583259293,26.131460184508246,30.955893883007718,29.392034541112125,32.75884137445388,35.30004494097084,36.296126133812265,33.611406074954395,31.13784205654595,27.64139374954491,29.10268221500936,29.620296376136444,32.281953932698485,35.40674344124802,40.13825084449171,39.07723983316931,36.21102876490173,38.865110364325375,37.17703200976658,34.05455891054766,32.44071869596846,30.70075418128242,27.597748736793186,26.918467002445663,26.293915672327863,29.10071197141915,27.726793837021642,30.608210278953067,31.94517040408205,31.427941086150145,31.146455996559823,33.56914510311471,32.20033333832274,33.42478404822296,37.373715869561984,36.34864679277442,40.446237423994106,40.06970226209729,38.67817405103548,39.326400793597124,41.436004506177426,37.81460706490259,35.543573935641774,34.751090122792256,34.26171930093737,36.82539445422341,38.153135080073035,39.12218510720419,39.000566052257945,38.60859334258456,42.568616771499244,43.11976058325968,42.77851323759795,42.65789962474279,36.99041393055203,40.737628709976235,43.24109698432856,41.46879969198956,45.71838493278118,45.69961394134033,49.80967079545233,48.314012081027876,48.184145849623604,48.198015498667665,45.15404494342651,42.93173869353557,39.66313985715302,38.56721912528172,36.947397882877425,32.250097123458914,31.87992797873339,27.84193696128687,26.696164523868912,26.886264927013887,25.464970675241986,22.872572534431896,21.808782798270585,22.686454976895746,19.098963585108496,16.243465237359693,18.120334035670112,18.883213729378117,13.189177135744265,12.768227837088068,14.429529985363205,12.011153121296216,8.279336210160052,10.97804466798633,12.374183255327218,16.21267607251138,18.572825937989325,19.180533642551676,21.127034538089163,26.397627533144025,28.514007106923128,31.60318959452074,32.770713565002524,32.35480770512985,35.41152947447555,34.24419084990481,38.41670294220656,36.33947950179473,31.426567928156352,35.096300472661255,38.12349037987836,34.01061587987044,33.00026514544454,37.120970035177216,36.4572028623862,32.125442571513645,33.4503762589207,28.849336395278215,32.07115920686238,33.90731828857783,31.505653003222417,33.85685020380645,34.94226132875678,33.676110804945445,30.149148804937735,29.630271693519063,30.48363725955532,26.99125094061045,24.33288047989982,25.067726896533646,23.24282778891441,19.770728583735888,22.91254625934906,22.62782461876168,18.0702801632477,18.637560167914184,22.258189789821273,21.882529930877382,25.663691394735963,26.342666319081555,29.734056198416898,26.791836096709226,22.512593336434314,27.273175097614956,27.661426827605382,24.243629676344977,25.024103581181883,30.291175321601493,28.004516980036186,24.05804840377136,28.07201313528729,31.463372282066967,28.935127101597544,25.934554445158817,21.466923335170822,25.03221227534995,21.22172716419419,19.25514517918262,15.29589924670293,15.118242697763874,11.187694517286644,12.26133763094992,15.449155866799629,18.894071229915102,20.676768221887485,20.844227727586954,19.531476926268528,23.247840455489566,21.19365025849268,17.791321869784902,21.74851547482598,21.488197740220894,22.416693834537476,18.893370294376354,16.041944756182673,17.7012089513556,17.805891578829517,12.45330530134755,12.844846523523302,15.807152963114182,17.096095588925387,19.350131495748347,21.38766196503744],[7.507332686185553,8.041507442960402,12.157971278320597,11.316390823307,16.98630857749644,16.306512841635257,19.943836361087435,23.053539605862575,23.05692256309877,26.006910986578777,28.479254216066888,30.099057337281288,31.157890254770226,29.92971479746241,34.65776758073612,36.028368507959684,35.044538327815346,39.51296127529853,41.96154782864282,44.04631428654242,47.31768998880694,50.5006588607559,51.50463564713298,50.350412263247875,47.42034977845943,43.754305676424394,41.69149119953933,38.07280317476485,38.93807098458727,38.05891057466507,41.65096139110254,40.1720150844369,43.46141950643209,47.539253916387835,45.37333474292299,44.01087096266244,42.365170494625964,43.421616198734085,42.87217677210284,48.07869509233789,45.27200394009284,46.910432596034916,51.24007482118668,50.64089016185353,51.78425054664612,50.337417277516494,54.46594652017537,54.311515123265984,50.05602674648009,54.10495107332211,56.946754036537165,57.292058573134945,58.748042117495416,53.28877094806815,56.95409092477866,59.24992509926765,56.05342802529035,55.32743705916095,59.85654118724077,61.33008757271039,57.22237990465514,58.068574817797284,55.870995999978064,57.861470410357406,55.52338961540005,51.73933885916955,49.392132887547625,46.23721761873819,43.89411630606615,41.438833203930734,40.80780907548996,43.13975622541338,44.81990672167605,48.45414812496422,47.17480034702622,53.33249290773654,52.032429218669776,54.39983595448749,53.16238800395983,54.176088759339024,51.47958546448828,50.61712859724297,47.77348615292832,48.05757974494447,45.40442813664496,44.63911565666882,47.2846829180404,47.523174495658004,48.124572787178,50.765548507425194,48.807039283137605,51.751820743008935,48.12760324294496,45.60761277536836,40.90659124853205,41.05930847799267,36.80075725676576,38.68827891114068,35.59005795642892,35.66882167138273,38.46223865728655,36.20063654065071,39.14067738205496,36.028369886341274,38.691772303657146,33.63005828720096,34.95022849588118,33.863730297000686,29.326784392671858,29.778874709468333,25.514311487064354,27.843696878027753,25.324928381368075,27.016945302472113,28.69002517287167,29.15531670604263,32.969801700184036,34.06476678461829,38.61447109730318,36.76187220539965,33.94102804092438,30.77974274432931,28.302698067818582,25.774971019783194,22.974845341439927,24.138594038249007,21.25590089878197,25.48778129922702,27.11275981201149,32.05391844163669,30.466956554316432,34.13546407078332,36.32301877785004,37.451519590157204,34.33541645728649,31.62413936738828,28.033181697704283,28.9691669121265,29.056803543894336,31.927374624729538,34.55987518111393,39.31866281343873,38.335019833583154,35.67869570326158,38.53781147674387,36.97854543426935,33.83372936520243,32.52125232413252,31.14704265794287,28.06910969993811,27.94373781586306,27.237294970263562,30.516846802271395,29.109493786280986,31.608393535442136,32.96799158545521,32.1275311184766,32.159350329177556,34.16893315188397,33.07662381656113,33.8889794736851,37.5963629751782,36.30311799981291,40.57449668379408,40.234859890370906,38.503286363572954,39.52294374049833,41.466631018280104,37.95305972302515,35.45583550546882,34.94989319601378,34.31375293507587,37.18998050923502,38.67230498623179,39.70330872113891,39.847014502541356,39.20131932982681,43.47099530590288,43.81647465951741,43.7117330357955,43.3686362440698,37.93725812098087,41.728788035881266,44.15072018400443,42.14460740667923,46.164210057058035,45.887273242650956,50.06297063946705,48.27760941071163,48.45922790812623,48.5312945030516,45.638288490640974,43.53674345293379,40.384040506444244,39.49176734807829,38.0341805347471,33.25489623090491,33.28634032188791,29.389003447344848,28.42573152459277,29.029509131834313,27.766913257616668,24.855484485004,23.887754050266956,25.22413023435719,21.59901953345735,18.23469554960278,20.635428991976124,21.856710049268468,15.928168676668514,15.500916523902426,17.529967255041402,15.218367513824472,11.26220973089595,13.88345066888652,14.856499012810113,19.129754045906328,20.645458540138122,21.65000872599149,23.9053501367388,29.078879508887272,31.349752956132285,34.333494046497584,35.67027256785679,35.142031679777105,38.203539720902846,36.94318430970747,41.00954908925754,38.909976745819655,33.83576616998519,37.44494272545036,40.361889936845486,36.11089687283133,34.99600584527322,39.00329183295052,38.18393914835426,33.786756064993384,34.90263276842981,30.625761682904773,33.97036134693035,36.06602378413278,33.981620450950615,36.399465168683754,37.75289250682657,36.295365298625995,32.6585783959907,32.509455691719786,33.34545405039402,29.62722887701791,27.155779884115734,28.115614292200423,26.23643734454656,22.776286573735007,26.119358026657608,25.88955468010731,21.288691769581867,21.94032189908019,25.584705631815655,25.09357387356781,28.822431305673557,29.334827493899933,32.690349317513544,29.810518048097325,25.349246794239683,29.97088661468968,30.33056298566869,26.83812269165029,27.320602092446446,32.64158848745919,30.214821029349185,26.026586420085927,29.934661428864217,33.40960406622608,30.66972243104905,27.46449032480203,22.83852390026243,26.135438679445045,21.95583554889837,20.61634707422394,16.391886439408047,16.88808241944207,12.963399449023433,12.96423240305633,16.267788376212444,19.583092958131306,21.540633395335178,22.353400367776857,20.770504098549974,24.679010762813594,22.230201137960908,19.421100272854563,23.730416197586717,23.899967817164885,24.556868795469175,20.702240465274432,18.458435475011544,20.186240498938133,19.462531420051285,14.331980167229709,15.548451520474035,18.30076538432013,19.16652017877407,21.15951272380847,23.05103631498535],[6.739201514142911,7.758920470073791,12.022677161326195,10.41697461067977,16.130772675305487,14.011521176372522,17.417742006711638,20.269766583742157,19.74443810462543,22.804546663901803,25.00393311147203,26.60274193637913,28.0259676790678,26.657072417293175,31.247457361195472,32.78270811553318,32.095454705663464,36.53844135188218,39.20660915294589,41.40432019964719,44.74355616778389,48.0839127932569,49.15178770519348,48.22463172404471,45.27583394897095,41.447274681810825,39.421313070402135,35.621373500194665,36.18969593792474,35.16555146319706,38.3628077053126,37.009807782749945,40.11581032035038,44.24315792561277,42.29986798319436,41.07238354483001,39.57625145446249,40.91198585926533,40.643844828211556,46.07589778971822,43.375015604917756,44.65771186323471,49.03991979872647,48.686160625546094,50.050744797889706,48.872878866180514,53.02427781154287,52.57561754730605,48.442239969233135,52.76265457987721,55.322389834865525,55.69697314307215,56.90095171292181,51.36642947755988,54.874036682040355,57.14650195804115,53.86578799951289,52.95414441256632,57.43663431716378,59.045978483979994,54.79940530289146,55.36501134501449,52.98995972094413,55.05018594249838,52.91186847872122,49.05344916241103,46.5689426561846,43.248155090042395,40.88571889398441,38.198446742631745,37.644078554627,39.884695328957235,41.475393194601246,45.28217696669292,43.933105246421135,50.052985562543185,48.98936413953132,51.23715121109992,50.207914114281266,51.46005957258253,48.83413045480951,48.28221711438229,45.44960801050246,46.09315149686017,43.43572531577017,42.32030834392381,44.793926974979925,44.81424985574417,45.27648996768488,47.64179328750062,45.57495815298538,48.347035339863176,44.64552858986133,42.08099344663943,37.40486777897094,37.37135165182053,33.14652862732076,35.185539193986784,32.159494863126255,32.32005475132611,35.34782672969307,33.44791875240347,36.500764763690796,33.78191080074665,36.938342021777075,32.013324132398836,33.711932944492084,33.037633323547865,28.576964791449104,28.496804241222147,24.08911807330113,26.087284479873126,23.066270053691834,24.951616642657033,26.12232075005389,26.898222067677814,30.548271472655614,31.99292585994339,36.191685795851214,34.00983009799865,31.22611495642294,27.979384298283062,25.95225965407425,23.399803187562874,20.522280330909343,22.429519941200837,19.690925366356655,24.174739362149566,26.15384683458353,31.00772708167987,30.122071402928935,33.83366389559548,35.940574780477895,36.59391590805324,33.626834338195586,30.54933133933937,27.52984525508323,28.029516750835057,27.936837612981158,30.502411032768013,33.25832667978877,37.846848136384025,36.460552842293744,33.82703405703712,36.596357231346126,34.674637249108265,31.632966047627207,30.089041015930476,28.837273857016353,25.438554657327984,25.50279308992742,24.282995701933217,27.760709293315397,26.007544482445677,28.289302647079953,29.891064780809913,29.080051187791607,29.516932137041284,31.43812489052274,30.92769627170725,32.0103680807504,35.41116158369272,34.5706252124262,38.74948453043896,38.89614820051144,37.54383542761988,38.81665025883334,41.061966178413414,37.78959162250567,35.01706230821365,34.38327385502882,33.284561309830046,35.90751652800871,37.10972056490072,37.81195772235105,37.805246374097806,36.76903584940725,41.143749312191886,41.7488327821777,41.839480938068064,41.81636350288818,36.45006908442935,40.64907955764731,43.26614954540961,41.16754383621221,44.888150182352334,44.32457110814318,48.7526334330963,47.180441934391666,47.58806673901622,47.97216694076002,44.945960135477506,43.184819975280945,40.12089562845031,39.43490429515715,38.32726222929659,33.512317842568834,33.62811292883984,29.979307880038338,28.47659602498938,29.575553134257284,27.79657380691659,24.74767922393304,24.629867503013834,25.937092984395775,21.823346146740914,19.15470827683002,21.93537107333357,22.5589065004248,16.589936387535854,17.032966703174825,19.03300771097527,15.904522956541639,12.700861408384016,16.230971660508015,17.367460155827462,21.479546632900366,23.520856894530137,23.934110522521827,26.131770005125716,31.32515121521695,33.65325600284116,36.54209116649399,37.40479506431874,36.633129236208376,39.418549246889896,37.73843471188931,42.02920949192704,40.34675603162922,35.035745809295406,38.352033739816086,41.691668793678126,37.61982109521799,36.127309974026055,40.01267922822548,39.742867862256546,35.38374001571658,35.83994718852044,31.61412096987859,34.274744802150465,36.5052564869081,34.453466717721426,36.454612532295116,37.81208356468557,35.88471970716479,32.540459329356636,32.63496474959517,32.93509094061281,29.04412596032141,27.15961863369661,27.938184042998962,25.712103521633242,22.694068178561185,26.497419040228124,25.942741863750587,21.17688448491192,22.70114150573089,26.516101120391422,26.292585447479308,29.84429881914437,30.05791790893488,33.75254361945775,31.303601718800873,26.669221243533052,31.194417516908477,32.09651925897504,28.742440316698193,28.88346778017487,34.478515273554805,32.562722050506935,28.194529025727206,31.772109393461317,35.646030080413375,33.275881656262,29.9662914493354,25.31334577357142,29.06009523495622,24.955627322958605,23.805818889145012,19.282860103741946,19.114436413034944,14.625783469016442,15.315240164523203,18.256411328439153,21.847405638485696,23.258791111570794,23.795335046791376,21.295986568634117,24.82855998037741,21.712744103447076,18.95477841014861,22.816911158160316,23.18376324935569,23.03380686516733,19.327024752075815,17.71613847904168,18.82312906852104,17.28303291782763,12.820594553459708,14.577002741499438,16.589812163698387,16.866828304423038,18.500406424555482,20.30486035117181],[11.367580187852187,12.879281236096798,17.087199172449807,14.685527654037903,20.411357629288954,17.932681649490448,20.773903035992806,23.550535659592022,22.05576000268294,24.729227247702795,26.454412393576003,28.40977534123861,30.08063178970098,27.98344262481522,32.49796588132234,34.48037264485233,33.84272140417616,38.04120303156372,40.46100397990941,43.13483614805933,46.234839364440234,49.854333316873564,50.64173016353158,49.73420857484197,47.07121779173627,43.03831884675274,41.43593859143404,37.6208662238707,38.19890417840148,37.39446865540596,39.84133052175056,39.13040825753538,41.98236059413104,46.00557016478943,44.390012963405226,43.078341582684125,42.08244591933318,43.32080612836258,43.22566510137721,48.97578794985542,45.958965781903125,46.82938923698047,51.30445310795099,51.18034874168917,52.49089503772812,51.58757351485755,55.70557136914389,55.21169983874595,51.373872728012465,55.876940707127396,58.33542875753341,58.92098207963988,59.91854776584419,54.37097259500907,57.83114611094274,59.900615244589304,56.40212087151851,55.505193418331245,59.95724516538304,61.453185821147734,56.944843415178475,57.23260661721604,54.745587982433456,56.512088791801155,54.6190731459657,50.86548952875595,47.834588052271656,44.55997158175854,41.73296067739558,38.94393312363914,38.1025147101981,39.90098010397252,41.87315822876006,45.90567045097948,44.95434910702765,51.08559031608148,50.51986187787665,52.845067633562195,52.16876521379715,53.69453244497143,51.408939558578226,51.1534740833113,48.596962826742256,49.46717085705504,46.610068134909774,45.26137173929269,47.31303561516378,47.386334132341254,47.31975658659186,49.54674847165287,47.09132796469878,49.46757199693574,45.720737190858685,43.31023770114167,38.682384959358764,38.228131027243876,34.050416646188786,36.81105731629043,34.097470446635214,34.61805015904919,37.88809721079916,36.656522320989176,39.650982608657436,37.48725481335678,40.95618229304905,36.171816391505985,38.19843163485929,37.65096628549847,33.26195743380798,32.998125417553524,28.477127753815505,29.987878553254422,26.51806714209957,28.105820930813447,28.50691865797094,29.129867244654147,32.468264731041764,33.742695221697865,37.45472699908758,35.35621991482234,32.33857149693769,29.299257430420024,27.462242385429796,25.391414554590483,23.01783425684621,25.650034062169553,23.716790040349476,28.172853932233206,30.474844442390065,35.30572037757301,34.60161461097046,38.47365109753246,40.32453458490793,40.93476538956488,37.734872489640175,34.398348649822786,31.505219808731464,31.38956642726142,30.76361627104567,33.39986785525968,35.557069942500455,40.03306788300101,38.56657348417433,36.25306249358411,39.16967239823818,37.19795332848601,34.25398871789517,32.89479066678777,32.076847123263335,28.53751419661273,29.09604223390995,27.362848357262674,31.09417230102247,28.773676518567317,30.71624875159256,32.71315544728995,31.831130378554302,32.84746370367062,34.40985043891088,34.54680810355981,35.46917844866796,38.42445578396594,37.590510348702615,41.83752739347467,42.244747476363,40.70073860209101,42.41267900265499,44.546130725622405,41.46133876066468,38.44002887412811,38.06788585474702,36.71055007423437,39.50038977424836,40.70282782683532,41.27941949878056,41.381356941166445,39.902615081885045,44.52316363493249,45.15879655929696,45.537286568651695,45.5213331206893,40.4119975346678,44.77285492053298,47.38078555289517,45.085447959657,48.46915795008387,47.542920880067435,52.109397172428146,50.340884448573014,51.13622044244156,51.6633690835808,48.76116535715219,47.20103054403228,44.27208551176458,43.78348035171469,42.84080488486669,37.99896075919146,38.37375214559481,34.82967030620673,33.3828492163438,34.655160147227235,32.86734528247519,29.74411771975566,29.704724587994615,31.076990270672425,26.946476965499354,24.20842373658994,27.01278290274948,27.60131178615914,21.6965678386809,22.00785126559132,23.838217027869522,20.712929579092112,17.546672422436554,20.63086536083678,21.92683086133817,25.869437301632217,27.889020528201133,28.677315722323495,30.80481756783713,36.04459175171411,38.15969692589767,41.258691869988965,42.296643253758134,41.65724442320692,44.5003880503427,42.86947412799866,47.15757555574439,45.41820345888301,40.13451122576792,43.46535216200095,46.7438387594722,42.60786751698859,41.13445395949044,44.978317874352875,44.57832864017685,40.188496476123625,40.61032668318924,36.55537878233762,39.25036817149993,41.56946086747627,39.578359017088246,41.526798010558686,42.841935515917754,40.826483555505874,37.58344610375667,37.659488725325936,37.79322604797672,33.93513030944194,32.18551442729602,32.753852061081766,30.39804696886974,27.58872332212022,31.298372096565522,30.470427487091346,25.663751645139875,27.35285567313957,31.07306126427106,31.07004019118089,34.73118175983529,35.09735260824498,38.79291671322461,36.20522543646079,31.706454963817595,36.287483771566734,37.059924049592574,33.66055463896677,33.901388162327216,39.4332131503019,37.29382590156412,32.95910914564762,36.6109006809439,40.377344381054016,37.76790797346659,34.435842304963536,29.73794381917356,33.095486268171975,28.75486750784776,27.79504176782512,23.403261711287517,23.800054034937595,19.493831786188675,19.53957235681008,22.6171716277346,25.995531474477204,27.65078290468122,28.592355833421813,26.053370602378536,29.634565770198915,26.250228071153444,23.83528831306745,27.63049926407883,28.089329557425582,27.54701924093967,23.969841494880267,22.645785549439964,23.36419226274006,21.445471670424283,17.53758242232051,19.214289770690225,20.603299851562813,20.53121566195412,21.73539058498225,23.3999125876044],[14.87078550666361,16.316175630697604,20.25308457365404,17.173230309863012,22.699466367304606,19.90568486684714,22.18829374527247,24.88973343986621,22.675767348765874,24.916555720165643,26.269043595645105,28.518701748615733,30.254878101386826,27.62926405562989,32.02442841684809,34.3120564315522,33.69649522510997,37.652639470583814,39.87181342663758,42.877462218970564,45.78053171050047,49.59284245348288,50.18055303401503,49.330587147650064,46.88697412038764,42.719130727246124,41.44400498101278,37.63971964232842,38.199358321901165,37.585289534355724,39.440020433128176,39.259619039342766,41.92269087935848,45.79940562771591,44.425645155277294,43.03373927634232,42.45377182582864,43.590074620934516,43.648926880528634,49.62582049992053,46.400665145661705,46.90673934728397,51.425015195586894,51.50759404936603,52.806516511019765,52.16304027413757,56.23777507457484,55.657025037953076,52.08460493686042,56.75148984739674,59.07125298569229,59.827534634231874,60.622724109733234,55.08387885426691,58.4769110481084,60.367669493395525,56.70476229423336,55.81288708762381,60.21873005175218,61.62397246540537,56.92141653721309,56.97945698932169,54.4180963692157,55.951089321793475,54.262392175372256,50.60678080222266,47.182917800088276,43.96302815197763,40.821121050964926,37.98434163294597,36.945820231671604,38.414154674268765,40.63671250326574,44.793362040776714,44.143863512759445,50.24545152457908,50.047743423355335,52.43358754767284,52.025427462212754,53.75229434010538,51.76198124008721,51.75073178716052,49.453150695650066,50.513578099445176,47.50298457104308,45.95545043799902,47.6400114382456,47.76725711422324,47.266664280753545,49.39703652409996,46.651392248139004,48.72603783986,44.986984902722895,42.73957110928246,38.18262317187728,37.45730067512828,33.34892171785655,36.647702534245475,34.23012721274023,35.14414092230292,38.434586524343345,37.80061368341408,40.63168624417798,38.98229935582328,42.67390294284323,38.05949163053865,40.42678377986816,40.01442590914965,35.73760154104121,35.27509240067449,30.664939049661587,31.681566204528323,27.870243109898183,29.190326676693005,28.95230406082622,29.47963355409018,32.50665546650771,33.69391106738495,36.94896030986773,34.897072578532416,31.761676526263532,28.91966817220942,27.320448899111973,25.6411622858953,23.694445773429205,26.88157573066111,25.63344962209141,30.008061703632038,32.59637706963551,37.34859523586282,36.92300141710161,40.92043824318896,42.50893886080572,42.99630956264004,39.642214869542634,36.06415634350258,33.42446847816917,32.758496369499916,31.727186496041256,34.297950806854274,36.030703309061884,40.329327565140886,38.73815103634705,36.6881391821414,39.661724023444926,37.631931610831785,34.81141135121611,33.60172132493052,33.159438957606866,29.573818493685362,30.586355988749464,28.542725102487445,32.528427434977715,29.9788158823491,31.489475114845945,33.653651635907785,32.62229124162154,34.08699550975952,35.27351472855775,35.942183357495765,36.70539956537972,39.24167182369619,38.468323486713714,42.71199246513694,43.39138770575859,41.79773837550384,43.87746165818806,45.987109668647776,43.1320442187081,39.884226981068366,39.67359645670154,38.0328370155282,40.8729072161946,42.02652538381533,42.466344543525395,42.668307494159016,40.81676222764125,45.63112790739881,46.265128912081984,46.90660404508783,46.90505776873287,42.06803488190077,46.58212062835081,49.192947093609156,46.72809430445866,49.76342650216049,48.50925155405413,53.197798285442666,51.333475224322086,52.46809145979598,53.17505540473504,50.3565887205555,49.04277998880988,46.26293774059171,45.990505008709725,45.28547259589593,40.443456435702515,41.06748307018022,37.71503058922662,36.205919115836956,37.804843540565635,35.94249026103059,32.68258889207655,32.926847322886346,34.45378629736814,30.21658870811131,27.505168194682284,30.54319538689103,31.128279951730736,25.196864684372834,25.66248071873212,27.563636587003934,24.320071470507195,21.251515817255274,24.422358369144316,25.65704006666912,29.66800528422442,31.544697674513014,32.372018850438096,34.57405403992522,39.793282751751775,41.95018341654034,45.01426923640492,46.01234292394693,45.28605784543923,48.05701032105746,46.27696444909898,50.57884098732425,48.95008650934292,43.551238745780154,46.76180750121191,50.10286200099259,45.9662117866617,44.34662528341533,48.08002483458678,47.763839024843435,43.37297761019225,43.4964321240261,39.651875814885734,42.17590689727914,44.64418300221984,42.812592184962675,44.64031874871602,46.04911482136164,43.80392674051907,40.65039557475581,40.93975871664677,40.8742265115937,36.91606194030932,35.44588644389165,36.004755515441865,33.53180717454638,30.91005955882039,34.764601640003086,33.829993055391476,29.00698715158479,30.943835771208796,34.68453362228832,34.74453697664039,38.35258120005398,38.60355663390554,42.37043934951993,39.90364326802104,35.32537220753954,39.82974813164344,40.71670258227661,37.32407755746661,37.38533605235667,42.98693058010456,40.90137930185708,36.448568275490516,39.9678868653216,43.84589427609938,41.22554053537795,37.79697473799118,33.06028608876531,36.34862177756904,31.899662586229347,31.24263611574973,26.75749502734395,27.280283752622264,22.93286650650263,22.744090591231654,25.720467258310038,29.02583236515787,30.6098515720713,31.764963369940777,28.914584563835554,32.403661192673766,28.686013283010748,26.63975930354047,30.33933868417498,31.02513873188129,30.08185607056514,26.538698699367632,25.688477996179767,26.185924008901395,23.719757208700358,20.365804167716334,22.350691769917425,23.33334170716903,22.863286200219193,23.700622004328885,25.15104910986827],[17.93246035861674,19.31183863700093,22.952950912844678,19.414218626825495,24.57620201719683,21.311676740007854,22.9918288677967,25.45962307051825,22.569095516048865,24.391979756465588,25.287753299963608,27.734840293826924,29.60130939903143,26.537403807359176,30.69072235480837,33.25548996185559,32.77111192270861,36.45924522821536,38.57034278130457,41.84763282319761,44.592052692639534,48.57943417248522,49.0330336643817,48.32067649291788,46.058772660267095,41.76825580185099,40.775040788648894,36.9638222134735,37.394288058174425,36.89300777673888,38.103814203273004,38.40800997537105,40.82703816348527,44.55809268351553,43.465698444080274,42.06719949773081,41.87878160485374,43.01349742090182,43.289135388945915,49.456686993575026,46.141875263649744,46.23811885686658,50.76846286333593,51.095772128409884,52.456191747493605,52.108263469232774,56.12914714697364,55.38072472280552,52.076500402460624,56.92500938399316,59.027835762993185,59.91679751075407,60.46922936415042,54.948603629448684,58.21360838171842,59.94578803415152,56.15249887473843,55.20637934880472,59.53137801584743,60.905672431505415,56.03489272845158,55.81543539307068,53.14999475676239,54.515916628639566,53.06891945773576,49.48877213078275,45.73432388478827,42.52469555106019,39.15193631341563,36.21834557930489,35.057532226255695,36.20187081712281,38.57600572942293,42.86443096995793,42.43936263743505,48.456992061809224,48.63878952544632,51.015828130574626,50.894469428136965,52.84813060740729,51.12945715919469,51.41092397261351,49.340134640030655,50.65329563803457,47.55113414531114,45.75022754367357,47.073951182147916,47.17079913037937,46.282062715603274,48.22570380643816,45.23079263090817,46.98565727255275,43.25631220170471,41.15051098245349,36.7087227773181,35.70180333118564,31.71554412466512,35.481571355541114,33.375902397537736,34.644304422275724,37.95913992424604,37.934347980891395,40.61934061244481,39.51990804159519,43.47765235604805,39.09360764224628,41.797624678558265,41.60560412421689,37.48728428548512,36.74098641597999,32.10730386065336,32.63679134704488,28.5075342490331,29.643981663341272,28.743024970475123,29.290370913705274,31.944816380646433,33.172541781537596,35.88043866887315,33.769324448135436,30.606779416660817,27.95318082932448,26.762603189562032,25.43774007715343,23.872966541809753,27.623144064096355,26.96200152165245,31.23349135232739,34.078997463331405,38.67247605737946,38.65858597486006,42.711697725797585,44.07221624948322,44.3207922709438,40.93923461417384,37.12354909397015,34.88513678348915,33.70697000127162,32.347843252266024,34.714358834785855,36.150056490955926,40.190260914439136,38.37734892518883,36.56628373529309,39.505834458557295,37.33360795086881,34.69165214077957,33.544024015077994,33.445860928141414,29.80502552941088,31.215949725287064,28.831575301548522,32.9994490308852,30.24377170932349,31.283582624016496,33.60184076738201,32.46604306107094,34.387146615770654,35.21805494131031,36.472756903221665,37.181691232451435,39.2576056281474,38.69372229873566,42.84605919262342,43.88495608160419,42.4052780261911,44.8104407759866,46.985575053214745,44.401907551489266,40.94169700452384,40.803021248673936,38.829400123875175,41.58265111693277,42.5943985774851,42.81993068701455,43.05035817859405,40.80882523984784,45.75377749864211,46.45835054575824,47.358050548225684,47.46754432179506,42.90967069562513,47.61572066266107,50.266705517331026,47.670276026571315,50.323078556534355,48.740207470929064,53.56566367876912,51.720927879349624,53.170697643378446,54.109124429919966,51.32717444595633,50.313567872915506,47.69162038658112,47.63950490921147,47.216794612820806,42.40618211430899,43.22099977494119,40.1029375854737,38.416616350963025,40.36659573679447,38.336925711449354,34.97932468508755,35.6346128575022,37.255623704627816,32.870580183624384,30.367222673413984,33.62840200636805,34.08460694030141,28.183148142541018,28.931004332165497,30.88531445143171,27.431870237780053,24.590894604348314,28.002122347889287,29.201320260936793,33.25076954453983,35.12981824915999,35.815897399897885,38.06785761228686,43.26396014115622,45.49232121979449,48.478465473591804,49.30418619488151,48.43191818687734,51.060174848403996,49.05292851599524,53.40712879189926,51.987421146951284,46.45136701816137,49.474899583561196,52.9710885571806,48.900992171646,47.07230021760208,50.67304690851209,50.58547203553491,46.223167738890055,45.94259751680303,42.2826214143713,44.474501647539505,47.0725192847223,45.38418291651594,47.00092921078454,48.48533755640606,45.95132351044128,42.961441563317905,43.48798960719689,43.142726551423834,39.092008441366296,37.994606180225254,38.52163811932611,35.91177894711661,33.55287940089356,37.59865311479339,36.5450187592758,31.729557855585394,34.00929303732112,37.789925365803725,37.93023930994179,41.42515270365235,41.493861641687594,45.3795613846238,43.13807810762487,38.459046097277565,42.85312943758665,43.97038154133064,40.62935776309083,40.46120243996937,46.17144224580303,44.281715538217654,39.70066466128552,43.02116524132723,47.0866649588272,44.58160602760352,41.063030325892605,36.307150758289346,39.69185343204035,35.216341889340015,34.791758795057866,30.16314132723946,30.577196291346564,26.106384691109238,25.949663208870444,28.750360948179928,32.063129579144324,33.43469303271557,34.632682559510044,31.373720668409856,34.650493049813356,30.58902381373406,28.857435180418616,32.30971883092719,33.20817147620908,31.79060415778373,28.37793725865262,28.048894159584556,28.253112893955443,25.23769855620689,22.568859405650368,24.843765075638743,25.36618433944679,24.475433692136072,24.91752758366853,26.118448661427596],[21.385381340649694,22.339571367939715,25.49678744002229,21.251159533490874,26.06233199486352,23.178458900245566,24.26398522364691,26.91134151356469,23.587008923428428,24.631657442595465,25.373406481649265,28.286966775120334,29.68798243827015,26.092884123129064,30.215646316348966,32.96634054888763,32.168564543677654,35.52078068879889,37.14696268986826,40.734279936991264,43.14927917530911,47.2422927209077,47.39155074664594,46.605347265941155,44.641236343357484,40.31695531419146,39.72898153182741,36.09926674784036,36.757470856224714,36.68271730687754,37.50869423053149,38.43937963055835,40.83949160615412,44.24933047331048,43.21920525780339,41.5396798461762,41.80906871652694,42.50492974603444,42.762961105142416,49.05280125966982,45.38532521358261,45.2373909394923,49.7676833916698,50.204309964669115,51.401915410736564,51.2460792768083,55.18308230408523,54.49399455790857,51.48834896592405,56.386483783461244,58.46596156868808,59.583607015146775,60.018096609045756,54.58563145113608,57.86565394052717,59.330346005554574,55.382777227070704,54.60833182399787,58.88914028828784,60.006686013020044,54.99131066990911,54.70597055082336,52.120959183611376,53.10097557689883,51.74487657963593,48.37499702775698,44.24547615050549,41.28413538101453,37.550475499794764,34.82678881276709,33.350803768891026,34.20205475734077,36.94955938646441,41.16403908167313,41.19990719038523,47.20118712487506,47.5984064896533,50.19740105076044,50.21540490585464,52.19997492247208,50.85594795029506,51.202797331739376,49.53550192123577,50.8173846825466,47.48955281799076,45.68983493387989,46.61640740164789,47.016644866406025,45.628247207184515,47.75197891015049,44.477165680054476,46.038093469584425,42.451221765718614,40.66484997760736,36.30110246630108,35.24458765929793,31.31737396666537,35.60804303863358,33.86266454218088,35.75073208910596,38.63419632719411,39.16880144794064,41.38756311573173,40.741087542012615,44.5941559196921,40.37952908342793,43.39693901632481,43.13104966898527,39.16278673656513,38.44781689699475,33.74463910031883,33.704312183813,29.45469574220701,30.04051771410142,28.643925897011663,28.81871703094141,31.138640248192942,32.00441308448709,34.32994665705601,32.55513386250308,29.253353988721972,26.96551610864274,25.76595533001097,24.991235213033388,24.073616993401952,28.023686661406206,28.258909473122795,32.226925531732896,35.29187250196769,39.794407902987736,39.83573089378235,44.05185414452312,45.01724684230964,45.33467941396121,41.63944722633604,37.6816940166397,35.55798196785195,33.81788250240024,32.02220748696715,34.40802461896133,35.20973336747583,39.05106856061611,37.310509991922004,35.85166864117826,38.89500226742379,36.91978802663401,34.394997558567134,33.65635758087848,34.01439614671169,30.621126900422766,32.59053004841018,30.32855594023351,34.81569509775749,32.338855983734646,32.83862842825626,34.95466789943729,33.43618977487179,35.596101213150305,35.87982943874788,37.39443896121443,37.61398476821943,39.29052673338,38.48989414793002,42.67038941572488,43.786337648838085,42.054346567244124,44.83117157468429,46.82815456609055,44.49444930486962,40.86186073234479,40.99800896373654,38.8577300068101,41.79598153848251,42.906796605352234,43.16542174945051,43.689190621573665,41.218511801498586,46.38133973761717,46.81890829912637,47.976443282058106,47.847185282112086,43.69165036075177,48.34613565025068,50.86753039758621,48.073064031413395,50.365023406337656,48.490478426559285,53.310377478643225,51.22047825110855,53.0218864804621,54.06152769154895,51.4814356132315,50.67848441328557,48.25670778633989,48.445351541835905,48.25190998365165,43.48738563798384,44.662762815295196,41.789208552294795,40.244204858596035,42.561961235593984,40.68257404586548,37.12035551962075,37.900229363138365,39.871143526295896,35.51810430765437,32.738579456833314,36.33628198620491,37.144300758058904,31.12445793801971,31.89303265002663,34.141226449136475,30.79318213005194,27.775449430807605,31.27025136707067,32.15921798796535,36.55074496607566,37.83537069363937,38.63818157505531,41.149482283963174,46.237090277314145,48.70221514518054,51.48900016862167,52.35505881089116,51.2947872377578,53.86340834534426,51.705256273098044,55.94343013908168,54.58476745995316,48.8896742624651,51.77552444468136,55.2017243992538,51.07870435383444,49.103243775725076,52.525973345288435,52.40994011229136,48.06349152374354,47.4656275979881,44.17646026586856,46.33982564649534,49.1563680839803,47.8082241265902,49.44831078398078,51.220480233856264,48.49598165604612,45.424812630124165,46.353500249649656,46.0204308313104,41.773647123065544,40.86217469913903,41.67281616296662,39.088146146446476,36.69621587416957,40.92560537235872,40.039304679062596,35.240070211487485,37.49117280543533,41.334729304003105,41.28704443056479,44.682312958655274,44.51886111382882,48.374946294996235,46.28555987708235,41.39674690477794,45.60825718487461,46.789570902375104,43.42880414869088,42.92938891537489,48.68460129853401,46.82217606760311,42.04160058180184,45.14256613308218,49.32826104964959,46.79093801481335,43.1295038642609,38.356082515123866,41.613315583316016,37.03692304495778,37.11719843802465,32.353938346836244,32.989255307791645,28.594463173054294,28.00287084639028,30.615567050149373,33.741429392871005,35.03332561173675,36.59273539970944,33.119805809575084,36.35822971892964,32.08499388892255,30.942783053840174,34.53599161106683,35.80167802796897,34.25956583320538,30.651164798566985,30.821569294029725,31.208624350890027,27.67542764247701,25.303235145584356,28.08556095143244,28.66873974728052,27.562872174154606,27.847781413825814,28.81027543901928],[22.007193155562767,22.985913371247147,25.84575192314894,21.669639921168265,25.9058257831017,22.078650593164987,22.61266897651057,24.65203188593255,20.80850626904984,21.73725203374255,21.907653615044605,24.68991294219402,26.534758401478328,22.860977716995187,26.55472053967142,29.46893703651511,29.15457146830078,32.36942459344372,34.33452883529454,37.9327062678026,40.450493841516604,44.64449180359139,44.957193284500605,44.511090928600844,42.481101321823864,38.05676867109964,37.448147698324604,33.66540579101373,33.860565668691414,33.55381541375777,33.81631922996627,34.87236930281113,36.95680311808424,40.37908914623447,39.65934661420173,38.228623406394526,38.64194249923921,39.73113956014354,40.34483573188094,46.72208091094054,43.358203050769426,42.81814773797271,47.313489697567626,48.021149933301345,49.51563921591133,49.63747145377046,53.54764895837944,52.49258324580156,49.613089243275695,54.71874272190412,56.43285243714257,57.50370158872025,57.66696623757777,52.21726313255188,55.250726424069775,56.73039789189126,52.78054638487471,51.750084693846674,55.92034383702365,57.25237193634989,52.177038234004435,51.55973531960448,48.76748153598705,49.91391985946197,48.81295821024765,45.35101803039948,41.19461021554328,38.00864830569694,34.384288911050476,31.3344770556469,30.04978885467283,30.78362891084077,33.28947361667321,37.71200027634561,37.5672919958328,43.43480933044928,44.102232650272626,46.46973277684087,46.72964481633748,48.97645725571938,47.67879415389579,48.384238372115774,46.703987563033465,48.381138439197606,45.17130921640486,42.9995884360405,43.7525700084671,43.82515761417569,42.35965704671966,44.06084042302638,40.735065325595144,42.06800704477444,38.405938111927235,36.559346381324445,32.31587160046763,30.999528057119278,27.216068667828992,31.644230590984108,30.08498219142844,32.05576665517281,35.119194628656146,36.09553565992922,38.36657568999293,38.18907904554777,42.442700867491595,38.52617926570173,41.77771786007486,41.93415321895094,38.18191914070187,36.99242069544047,32.42168421708252,32.06809820556693,27.557418586129536,28.32784218509109,26.376745756497336,26.981234292089567,28.958762744112175,30.323743454830183,32.115278582535936,29.865341681869733,26.77118223388327,24.44749163229254,24.034366022838178,23.276507797625833,22.37681889155708,26.89231986810618,27.232644546104623,31.16024781983384,34.364630833092654,38.570456545686056,39.290042062589485,43.36062460545664,44.3011443176384,44.11186232117863,40.76329457537606,36.618456207128844,35.16951290269052,33.19022854669803,31.39214349504945,33.2779278033311,34.342513187470296,37.86247795841675,35.64595129290329,34.20243278871875,36.98661769046588,34.59089964985066,32.29856853989006,31.265170879361417,31.740408350434606,28.1635398497444,30.257714594336946,27.533699181750706,31.988832841304596,29.27418346990231,29.37597573046045,31.68180719272303,30.25720031952825,32.82883638472755,32.978068978819834,35.11781893154217,35.677644385532105,36.961507377341015,36.78081147738883,40.688330530218316,42.32267440088909,41.15348998745251,44.018213684132306,46.34589293503416,44.26460306945603,40.511914076052044,40.42157839153565,37.90179193052378,40.39843541563019,41.134778447976274,41.00274077407241,41.298048836896,38.476346715853396,43.576719133440484,44.33502970498297,45.64598596385686,45.91852136445347,41.900867190671846,46.85367124441069,49.54361484286981,46.76895410674796,48.75342909717252,46.66473092597899,51.667469894290186,49.94356836422425,51.859863932288114,53.1976493216985,50.469386966183,49.99202370013797,47.66856052173149,47.99698679709688,48.09460598068792,43.41519688844251,44.540101031217176,41.91597513807677,39.919943734135494,42.522638690465264,40.250253122403706,36.74193280040182,38.157193980702466,39.99090271046652,35.426148005123956,33.30960636357062,36.99362409546833,37.32171938684882,31.53379329031272,32.8164345959193,34.975177151841066,31.249162267141422,28.795179007628132,32.72459143150144,33.70954492814479,37.94226014792692,39.66500171788731,39.96485020002214,42.382447414450084,47.44482008400257,49.95773154897785,52.62509552002482,53.05124845682875,51.7985400794044,54.09395750255641,51.611758242799034,55.99772795582893,55.028241182174675,49.22781581273252,51.82692706641616,55.6020588745963,51.71119089353683,49.457264210062014,52.75096818968582,53.162720304860116,48.909977419030824,47.80502168282458,44.53750855750276,46.04487898629702,48.873875890917,47.53536924916673,48.76766042599188,50.48366761873078,47.418503357140395,44.69894945649489,45.79161650178736,45.012251183494136,40.7641465317715,40.37226657935926,41.017231509194986,38.26168477944263,36.31868719403426,40.74744262367884,39.66988144496067,34.958569271438364,37.7340351224638,41.60158953089863,41.72799303453251,44.90055289049694,44.49515750164119,48.54890001046352,46.851956529654785,41.92024589329526,45.98357875479103,47.59299409251691,44.394308069708664,43.67623209975009,49.57169484838912,48.17535319066937,43.334011788662046,46.16737717157839,50.630720926994265,48.46824072025932,44.78640902289998,40.05056313562375,43.7404493215959,39.32743026670736,39.34026794034137,34.40326845951446,34.45060275917918,29.796835425465847,29.817465751421267,32.17544324044604,35.508128723948474,36.35216792826205,37.515362782339885,33.51565031976758,36.30017092931877,31.723118129582513,30.63323253757224,33.60854568295974,34.958628954827184,32.81069224448529,29.601447492996535,30.28744415324605,30.161797790902465,26.18450479109523,24.747582681687824,27.661665352206388,27.611037029880606,26.050737603543762,25.892159908799126,26.58891167366761],[26.10793522075823,27.222885889714252,30.34373267277228,26.045822981102745,30.557329155091143,27.285068553556922,27.907709019732977,30.158978000360428,26.3095911822364,26.92899226879213,27.02669810548902,29.978547677003462,31.60441028593731,27.623437800433887,31.198635231871908,34.244501514985245,33.69941443637281,36.58422506844597,38.014803004588515,41.91218802812194,44.04984677656473,48.322272539474106,48.265364641008915,47.670122698958515,46.00753692069739,41.60051165430743,41.41662129672018,37.86474292311708,38.323031805853624,38.36460565998416,38.26849064821843,39.807493883428734,41.7816551912878,44.95883736431264,44.370738317580354,42.755228721062174,43.51541694375817,44.24408519944262,44.78213919995534,51.20653234426364,47.48861243566094,46.82149859395954,51.297452070323786,52.04387566555541,53.2959278510459,53.5061616512601,57.32717670668343,56.44778384731596,53.809751804457534,58.86597510835034,60.66661482422419,61.93049991906381,62.065229314691685,56.70709917630695,59.788864887348346,61.047924764764446,56.974131934190375,56.126849506691045,60.25374850175789,61.33000274836227,56.14267326997649,55.46721849132072,52.75631886543816,53.48680112617574,52.505191291942246,49.28931038798783,44.744619468100396,41.85308452628424,37.848357291144,35.03989668137258,33.4079369542484,33.669828255316354,36.61584438753111,40.95982241118765,41.34951139446168,47.103187359478234,48.085604224437006,50.60794705101912,51.05203109184718,53.33960488897049,52.357329674932636,53.09083579474184,51.693614753114026,53.285928390903656,49.912830455944786,47.820254028963554,48.29329275746866,48.609713105977924,46.752197690095436,48.53723260657661,44.970144108171134,46.00621021135911,42.48219795645616,40.91711074886582,36.84214588788401,35.347800169981994,31.756928451615945,36.550233072776805,35.25066188028198,37.415554339600185,40.394499606188624,41.595828322444184,43.7019165610122,43.65378141279238,47.786538731475616,43.85801372156735,47.12582769070351,47.10459592621199,43.30477670599031,42.31432103894646,37.679579212459544,37.26387713617129,32.80772659076843,33.25732973754194,31.197588005016446,31.408394860659573,33.19667304753755,34.06943890276839,35.59237520046462,33.808410637646105,30.580712086666498,28.657625379913192,28.03572260730424,27.72330022172539,27.239547269481015,31.598953283911115,32.27138827989857,36.09934903728441,39.31902438219431,43.61427459754791,44.034285474464305,48.23725359309136,49.02452369242288,49.10000542743914,45.45358179889195,41.33460406176868,39.60899320702592,37.45172098983288,35.37488188084423,37.49977206229489,37.92819666254666,41.38264212727612,39.43329745443251,38.30820328492299,41.24401710484301,39.1345460866454,36.88691014411204,36.209843342794066,36.90803593606406,33.501973057315,35.750022975104955,33.10957620935739,37.58439255416662,34.78552111174825,34.851772252967926,37.196266689162236,35.700636552758155,38.3266333191828,38.28538081004087,40.432045278834,40.662859473080424,41.806845077573506,41.284616980251926,45.28026210029669,46.781944968996285,45.19179207280006,48.266536121418994,50.292041676233765,48.248955961774804,44.464536650393654,44.6761492047569,42.24904196713512,45.045231586793975,45.97723634217286,45.98171376136536,46.48803870863108,43.61515287961267,48.81574564506096,49.38284990779741,50.7991592424859,50.83415457473861,46.999609268042065,51.81052475739791,54.360500944895,51.471949458670856,53.342586606205124,51.12797968255755,56.04615658263123,53.99496713902465,56.12524828362445,57.39469453004672,54.87936647461491,54.379285442835666,52.12631811175142,52.50705256665466,52.54951280108534,47.848208329167555,49.14410951717307,46.44863583327467,44.754594462836714,47.267349946083904,45.2275337432677,41.66439077847955,42.72545482071958,44.667604331768025,40.218623225047054,37.67284710498912,41.30903342193385,41.9105971963985,35.98238337975294,36.90033585506132,39.05639226128194,35.54605722285097,32.73723712494138,36.27528007714928,37.267622639870666,41.544561605668385,43.00375312193335,43.75287499166914,46.20546547126042,51.31747093908811,53.71597803267662,56.552001695122094,57.31615984768095,56.227385765728265,58.70921451482636,56.42610951580856,60.7267515912243,59.51002237142213,53.76961280744302,56.53618166772772,60.0798861686542,56.02104073520019,53.92951149728299,57.26470291517873,57.30966795117842,52.99171994441742,52.14798953428447,48.974000774280455,50.87231364738423,53.741549051499334,52.44089313088455,53.88089544965921,55.61588285536494,52.69856125054961,49.83015041954635,50.82699464589154,50.2275726361187,46.001806596109255,45.36478403782291,46.01612035550379,43.309353227006184,41.184936683145466,45.45754072022919,44.376229296029464,39.60107531177905,42.12492722169035,45.94706177433622,46.062770258501104,49.42257597126377,49.223643796700834,53.17116249425234,51.18112299847039,46.31593527870163,50.50236862743197,51.80802440280302,48.484574715045476,47.93346345680162,53.73087293992462,51.958784910373694,47.157024513024695,50.17687323652168,54.43508987585077,51.94136701269461,48.257961244916046,43.488089766544604,46.738993187925985,42.149225020127425,42.293566786159275,37.526924546026635,38.12998015537261,33.68637517547748,33.1462279916526,35.69978795153284,38.80644077579801,40.00900743291652,41.570700623531096,37.892648271337244,40.95213919081115,36.489615644625964,35.50287971551724,38.80271071868124,40.12625602169424,38.198229537256594,34.84092018882497,35.28692703488087,35.3328520613712,31.56509187365804,29.737483219751677,32.47819226107379,32.61335219373685,31.24286468761858,31.180618840097893,31.941592818957517],[22.470170741121233,24.06229848774062,27.779556007525816,24.20250982295834,29.249535351937233,25.79675749541074,27.172669473737344,29.38659450330227,26.05838131886705,27.56370925506555,27.96045876408363,30.465970245700408,32.55125560106687,29.11405333169075,32.89362996277696,35.734078150924724,35.42170205882506,38.763164358947904,40.67890172123888,44.255630339314,46.76187284183405,50.9178343546187,51.163367663448284,50.549933085016505,48.55413370937802,44.17645453827044,43.53530942198764,39.783570810251994,40.1119536628767,39.727651550229666,40.2040423057949,41.00912104918413,43.088403725058015,46.66299728773767,45.93109447780323,44.56698613617731,44.77635368892676,45.91268324158357,46.38140475454649,52.68905294930631,49.26107690559312,48.97400921010455,53.49139094044477,54.044566067523256,55.40365499806152,55.317018504109924,59.26160559446717,58.417031390897705,55.39129857788165,60.35672401138285,62.29665680782366,63.320034414488916,63.66333377684142,58.18687140904928,61.33036041201487,62.893726999140334,58.98011106490481,58.00088704357953,62.223761288843015,63.54181259810858,58.510090488915885,57.993241274810735,55.22707225842863,56.36282295135358,55.204285406694865,51.75158353013815,47.611405475292074,44.468243767692556,40.814920769161446,37.8149366455609,36.48160937215965,37.130388166099614,39.73046097501152,44.14959654754346,44.05006875667834,49.900297279189175,50.57504464668733,52.91175010134343,53.14142706750493,55.34390111911296,53.91497944106036,54.489528290818804,52.627820877931974,54.16444146454472,50.997601911452186,48.98658817865051,49.9574397057333,50.01085452960204,48.73096985843918,50.420509446843056,47.163004214139455,48.48306818794975,44.78138212831035,42.84108711767486,38.60842394117894,37.206106910614416,33.46764488072435,37.68635685749288,35.91934956636884,37.36707495471036,40.848936977297555,41.32719052138505,43.97516905106741,43.306674828785,47.48686623929757,43.27481713905787,46.14451969369854,46.09867341240977,42.06237708441634,41.155013939209645,36.546496011557544,36.83119850529022,32.531548945035,33.53624874845528,32.13000139301793,32.63925291445307,34.91967576051043,36.0694418605976,38.20355700896605,36.14313181200324,32.96540698358056,30.598178143215648,29.75416768245869,28.82780522231563,27.63582250779385,31.701276916435347,31.403715005216526,35.59241309799469,38.55609290335332,43.052129265901776,43.22464491931048,47.30214583781017,48.53851151068246,48.68091285103789,45.26870408050065,41.33384545326641,39.27841195002868,37.78193524373827,36.15688552528839,38.43029224386251,39.48200333776689,43.28868858895849,41.380108696005,39.845059830690985,42.76838088248619,40.532821343166525,38.06836971041297,37.00678255885516,37.17786801182361,33.5062350334166,35.12865259157749,32.4188916941381,36.56328987053463,33.438851982419266,34.21214384276667,36.79159190321551,35.70809547375223,38.00398588486824,38.61009455600405,40.34004122427851,41.031556394131925,42.730852081336465,42.30137012484866,46.37254443839449,47.6555582470076,46.17025069975106,48.82681654953208,50.95903210975012,48.551811198111686,44.97149670529124,44.953445100698275,42.8044760761977,45.54234604231891,46.47290722724633,46.54383387956718,46.78090389597068,44.23251841722607,49.2332906941774,50.030020489156705,51.12370976309514,51.32471235508031,46.98186172357164,51.79296354367044,54.451458929267076,51.766968756364335,54.1365887842093,52.29820031988941,57.1952995982584,55.302189688040514,57.01448314538624,58.08672062966312,55.38013497830048,54.547099967013686,52.033755114348736,52.107308160868605,51.80714280724337,47.01436729607815,47.92979032588954,44.88319449987911,43.16368766122361,45.180980327392085,43.082889263736384,39.73608439371281,40.47292356684927,42.05447442471853,37.63774620208987,35.21249188536708,38.43158763005493,38.76361159164805,32.93168440015539,33.659091155689886,35.47888215587378,31.980144905694708,29.228966996758473,32.47858666337877,33.806263515471215,37.69610288959108,39.703279063790426,40.504089047154174,42.66814363422295,47.90461691480224,49.9753698225307,53.10343169192317,53.97158429318049,53.1796052202108,55.81751041884526,53.81809800498319,58.208086176516055,56.796337049316804,51.283084103256364,54.29855486903177,57.812846424252825,53.740056601363484,51.90852935320023,55.488027306417976,55.39269664620799,51.02676002986763,50.70426156397602,47.10625981424917,49.237335799068276,51.855205338483756,50.15770260578562,51.68533018182015,53.09117395519337,50.4920928127678,47.62815906143884,48.1006164977341,47.60030182980395,43.614885972333816,42.625064815340885,42.969272240824466,40.27652985778678,38.090563264259956,42.06622022284039,40.81838355963809,36.01837779360786,38.428252219953535,42.14169666518715,42.45054658144259,45.993783541832585,46.15579832791121,50.072261336959635,47.775093059042106,43.19496116545632,47.63595777343704,48.72233827090727,45.375435651777,45.288087648324094,50.97609432216929,49.01001179658023,44.47129127942119,47.831805647490036,51.84982959835317,49.257735064718595,45.75071546137227,40.99192918230725,44.21557736977452,39.675421890414505,39.276928002352065,34.74766472565793,35.32509874185617,30.905548366775704,30.621576631688285,33.46477012875768,36.695005011025046,38.14519408015295,39.44723719530499,36.16894430541807,39.41048694999054,35.252440527108284,33.61180332322698,36.92037973181075,37.80463560469915,36.15887352279437,32.92950825512729,32.687407344533646,32.63363006694878,29.555326732434544,27.19609793561961,29.30437703747129,29.487214629714593,28.457665044434357,28.643643430963415,29.725771324263334],[23.251020278714055,24.579465495721102,28.198143686041714,24.34640772179769,29.512369798696078,26.811621930093118,28.256328932960464,30.902060637622203,27.741808881139093,29.00236915896626,29.710465394001016,32.489025737805804,34.07965437276768,30.518861491335105,34.57014492750615,37.35495992434313,36.61218954055484,39.930858403960016,41.476244253466106,45.123206605364494,47.46096949344561,51.5699136201973,51.62162442078554,50.76810173393579,48.90192434614075,44.59459456436328,44.08639527213885,40.502090801498504,41.20030903127437,41.114790710469016,41.85816519927835,42.79003330343763,45.100864305994264,48.54750913919914,47.601817071538264,45.964281850468105,46.23050308981635,46.945919173392326,47.17390287726116,53.448279548486624,49.71969809814266,49.61103062145667,54.14037400009811,54.54966012937397,55.663581715722025,55.45905698453959,59.38493077012574,58.795844909324984,55.7900821887457,60.62650595752157,62.792338929241474,63.92085905484263,64.40494232985378,58.97906250510202,62.28785282475715,63.74664820068796,59.791917602818145,59.04504624616883,63.324300837536875,64.40995240640751,59.381178880122576,59.078270888802976,56.487721979905096,57.39390460987628,56.08044471370336,52.756365205062934,48.53703798032164,45.62321127944035,41.80454447993846,39.09298690307857,37.549642678316125,38.220628897858546,41.074641141384525,45.316236163240305,45.465706513428955,51.41290506481519,51.94073902215874,54.51742006758783,54.60787401558909,56.628022151859945,55.29308303933273,55.64011776222532,53.934934767447686,55.190521494907664,51.87092818086344,50.11168563704968,51.0609610064803,51.44559863498005,50.052150626720035,52.109314840967194,48.801306350918715,50.24348978053495,46.64488080535665,44.854866754939785,40.54906041883343,39.34442828841428,35.502210241248264,39.80761021837961,38.04379710231379,39.7129168330986,42.85012845066073,43.25254392809852,45.653867670180325,44.85558923161847,48.711718384875,44.38908295491098,47.23158487741322,46.88439997310363,42.79404178501099,42.203149043579295,37.50529996978464,37.748897889848834,33.589898054955796,34.268820560414056,33.03425913358601,33.15826005540087,35.52338424952972,36.254945870664955,38.594324286277846,36.93632136649633,33.605263443419126,31.38018007925248,30.075956037342653,29.31870201660844,28.344313718299805,32.10663367635959,32.080396147064995,36.14189242584834,39.08525993939894,43.70247839601816,43.47901032685915,47.68995749134877,48.78004983631214,49.262842757407824,45.53144484178759,41.680074013553934,39.2745840298502,37.73476683324954,35.98111909279435,38.537119664944086,39.223677399352674,43.13674987654506,41.550964783083096,40.12352700983207,43.22366272987227,41.32597185085137,38.766408691753426,38.035289250147905,38.29972284379481,34.858649483719326,36.62569083664512,34.294988765614704,38.60590910876569,35.83606571221729,36.61244916811498,38.92998344389312,37.60183407804365,39.70971474955337,40.174180472248544,41.58912125209198,41.87155021590129,43.66903454278649,42.76952997187051,47.0033588612468,47.9820489958986,46.07440425264606,48.7885791042773,50.647557629772805,48.18627113301428,44.64138483984449,44.85333833482078,42.888995362899806,45.94734425480135,47.14368671180529,47.47607331847101,47.97320506519116,45.576299925033574,50.69552704240501,51.16957815055751,52.25733150560571,52.10419697464099,47.83912894481334,52.42417813458834,54.91776167038605,52.15626082703207,54.58235329629803,52.78481455027955,57.54905648261527,55.34791418473902,57.10027945010651,58.01798436565931,55.483729127284874,54.527274454952995,52.03733644011349,52.115656618012665,51.72700151407003,46.92342958619431,48.00694881414882,44.925163657842674,43.54784844150826,45.541341508446166,43.76547503218632,40.3100060543641,40.710694764560095,42.52912108792972,38.28352111628835,35.347149482309305,38.64602556122671,39.4466668775061,33.45076395529545,33.87412565551296,35.89015626969709,32.7059538668057,29.541963337076034,32.553844216603366,33.65110101291805,37.79149452896973,39.22110259277837,40.36518254972501,42.707179228121944,47.87869554020035,50.045125787949736,53.12104332044074,54.27159602594119,53.498329462752295,56.264651360282606,54.39604022059443,58.62349723809827,57.00674008389081,51.49900954329106,54.61537169842511,57.87252342236954,53.64869422721944,51.92710059056445,55.49410182459571,55.06736741057786,50.67079802166719,50.52156949978238,47.08238059883998,49.59098677966769,52.28784199435673,50.74850773775937,52.539883596245204,54.12477817796373,51.65705031136845,48.53368696226626,49.10579070769544,48.906381309970165,44.82889648555075,43.60529270480762,44.21468430506233,41.662516716310414,39.17285672707599,43.11021409999465,42.10093927175425,37.27798866801126,39.31855990104257,43.04114680307685,43.12150355675965,46.729161535256004,46.91112741272634,50.67383427528177,48.22677796711355,43.57845834480814,47.99764302336566,48.853072339525234,45.41342124414279,45.2970559376635,50.89764291474759,48.677802141652336,44.10270443780594,47.506639630000635,51.39688834233034,48.58322250297205,45.04185879858067,40.28211444615968,43.181585769198705,38.53499696844262,38.394872792915706,33.941256181514426,34.95154465318902,30.760108548637085,29.938767452887838,32.82177606024879,35.82483407061082,37.49268374290701,39.16286068843514,36.13529603425934,39.606765461746576,35.57754644216785,34.16348959560203,37.89091272833825,38.89328670791758,37.586505406006204,34.02556960594381,33.70423035555823,34.079105091843346,31.03917161562474,28.257803049379596,30.534724687986245,31.17879868979671,30.341104823688926,30.750645233448168,31.88450546927484],[18.79907018816452,20.522998905321053,24.670830359970974,21.71320234226508,27.308881048541032,24.664156392539816,26.89089235618589,29.531188317630576,27.099058495597113,29.170529809857182,30.26870670950044,32.59441410097582,34.455252370702745,31.537053214639954,35.789345976215536,38.27412100664023,37.6797616491083,41.44109054216072,43.43864718357991,46.689632411081796,49.39666038197133,53.3259758657212,53.704820282464084,52.813722311749366,50.590795154346644,46.370863678743824,45.364769487108,41.631176207225494,42.239871056525274,41.758645890441294,43.20676704638493,43.35587942340183,45.84227035940881,49.6397059279582,48.46179947272355,47.039915558820205,46.70592585180896,47.7611092478617,47.86388341286971,53.93345296558034,50.531163332844464,50.87388406939998,55.40678509714585,55.57517965071295,56.78090126615337,56.23333601344358,60.2656987870379,59.73806051312283,56.31850426583089,61.00279920159201,63.330094330703794,64.1927635230715,64.92947073374081,59.41403988461464,62.80244936759839,64.5770134382568,60.82328091679095,59.974948955139986,64.34875153524098,65.66166582083065,60.84799904327861,60.776318560778854,58.18248823558637,59.50865851916547,57.96150402833068,54.40994426982942,50.6843623351539,47.554653872815,44.147150776182656,41.31696993294256,40.08832557843801,41.21286026035952,43.69057419578184,47.93011338348992,47.57052176327971,53.6108942435302,53.721596199804836,56.13911328692231,55.93283984312336,57.786183282312244,55.979234279579096,56.08778267014802,53.92039498117771,55.03785764464975,51.94804845944424,50.349987089537976,51.83925657159637,52.0095285010919,51.249615308640976,53.29379525717377,50.35541015520569,52.16417154025438,48.43361556882331,46.29677399539239,41.83832225344447,40.84895052530595,36.86164993361799,40.491163147294294,38.25291490697915,39.22958057563754,42.68615230492613,42.27647015212237,45.12879869996753,43.6360556842756,47.39701993026857,42.80632325406173,45.17868411176725,44.7447545335942,40.450346006357925,40.02588765409323,35.419240926976364,36.40053377741261,32.54179985477691,33.73647821836498,33.27173459521616,33.65879373389957,36.51538734345715,37.49857164746292,40.491123363080725,38.59819154880168,35.36732064121812,32.730047766293154,31.173193786043257,29.792389785826778,28.118682431666436,31.39362214182193,30.35235550855146,34.68147955759678,37.28411190410473,42.057712943092,41.5186142079397,45.554976738613995,47.096752484283606,47.68705384137266,44.21813814339642,40.63536951661748,37.8852251379872,37.09595417400404,35.87258852504676,38.55015119740878,39.90466230047394,44.14477621765592,42.63873527735286,40.78722829313452,43.83939860419672,41.87720473098859,39.11040462395659,38.03300399030787,37.74273161222503,34.15352259704128,35.25289908123762,33.04322557195528,36.97805160293535,34.119221170620584,35.60222043871497,37.982288894071374,37.01341943811917,38.65659585923032,39.75849241701283,40.60978922818532,41.29586625961484,43.68736982890198,42.83315470417333,47.10871338301677,47.797847259534386,46.00510092693868,48.22607730043669,50.177453306911914,47.344535877646436,44.070931031532055,44.03026692301583,42.41005189208557,45.385631263248634,46.59851796317102,47.04367954683192,47.297585255339385,45.32388069741867,50.19226609345539,50.8285712677698,51.55078805238424,51.50992439692895,46.7587866056786,51.25273039246295,53.816736998760284,51.29651241827694,54.25114677939614,52.89149921263452,57.576036085464715,55.54928763573429,56.823787295721516,57.50896139814587,54.79535529714175,53.47530475910214,50.72718682121465,50.47167630054266,49.714478223298364,44.86652616240927,45.54175525323928,42.12019098423966,40.76949494089802,42.21876369327208,40.45498262373628,37.250349100533505,37.25548383264613,38.716901337934836,34.58792159399392,31.736873128829878,34.56965537936371,35.17463645361137,29.31702406416691,29.48595764512891,31.182062706282967,28.11494163128263,24.95939731468817,27.617647996612394,29.005113851398875,32.77566167901971,34.68413917833529,35.87339093625536,37.9399070363939,43.19555217999104,45.08205930942907,48.38963548313169,49.649312127435465,49.15688092753671,52.07348679533381,50.50836978259557,54.775144205047894,52.95438412003335,47.70275765924217,51.056500765192055,54.23974171659013,50.02074694778626,48.57958446838394,52.369658989489935,51.79342403336436,47.37783194218787,47.77424113981816,43.93180975540666,46.69389525718054,49.1170633317895,47.21146847853643,49.1259638632149,50.41310004813022,48.31452849886411,45.160352336198734,45.230399437029654,45.21530011792999,41.390802773103935,39.76253569442517,40.14476475119517,37.68301979578616,35.06182057715633,38.663213015399,37.589411928711414,32.78694216460711,34.58025343667938,38.18089894637058,38.37581846834841,42.14098313257743,42.664356836844405,46.341552497615176,43.59780566882837,39.23897305837711,43.86829863489394,44.48141504391819,41.03279581559004,41.370250591776355,46.818559989679166,44.41760784161409,40.13078520283896,43.850753676371326,47.47621256271275,44.593369380689936,41.25164720146182,36.54445564551497,39.42377388706313,34.885264659011895,34.16769643653288,29.986743599666458,30.94743588717591,26.855685668009468,26.30809159512352,29.4539366124637,32.55426850248078,34.45143546190643,35.821904876342124,33.28435412992436,36.91428637373879,33.304412591172465,31.250056243286302,35.004991582892934,35.56446981906829,34.679812805720495,31.22212001237371,30.160772204394217,30.570847855021707,28.339041192590376,24.927113960006935,26.54267110507221,27.4163383944945,27.044798670451122,27.814355890191187,29.284159333461066],[18.208813486984802,18.881651440803513,22.143331489884325,18.078348796305242,23.392390419309123,21.698838547622966,23.51323747229224,26.77805886772704,24.368831159226485,25.77011874103756,27.310545828059652,30.160241350522742,31.077359215314306,27.964878692237257,32.601438281951665,34.95720429926175,33.705587693774994,37.41763223910647,38.965898726732505,42.22919052718311,44.76099230012025,48.588750177153734,48.802308779730446,47.6708382769821,45.533438944681535,41.41525223773037,40.523192312810494,37.00296938484299,38.08049239257335,38.05229060556281,39.907756455008716,40.27973286819014,43.15283887548227,46.68121308147113,45.14097598764552,43.29041391357712,43.08145263733591,43.50044152733466,43.31008322023953,49.33849182685172,45.57864250358716,46.09973146953918,50.629625387067854,50.64301839566205,51.59786249178947,50.96709230270424,54.970974722313315,54.6749057868678,51.320602915399945,55.90115311889185,58.42106424808119,59.437158864258,60.28489120149348,54.854942670702656,58.41952858407536,60.02761558072679,56.21939909041361,55.66847267001195,60.10013082320108,61.10894416445443,56.316447623530706,56.543186218823784,54.20766529212843,55.27325886231665,53.486988878308715,50.0909537140505,46.36107500033916,43.52220800440661,40.00430760679234,37.58315288008207,36.154349037992645,37.48612286348884,40.163978189602425,44.09545541510474,43.964499826826945,50.14992782344544,49.93637031037553,52.70045532928734,52.244732898444354,53.811551230394684,52.167658402393066,51.979761324056156,50.123695112378144,50.887600460878744,47.56689123418057,46.26583478315949,47.652174635024174,48.31306070371023,47.36169017507411,49.97318928942909,46.99533029441716,49.06795080616387,45.52295628135409,43.63169819981101,39.05691982439819,38.49237753678231,34.32352183740022,38.06614725739817,35.91449695759039,37.507905049371814,40.138483768693945,39.8678634105036,42.095186290236626,40.68005976283385,43.97368820747958,39.39707135636431,41.99595319950086,41.236749816488576,37.04354090668902,36.90880345065332,32.16323161014337,32.65806176101362,28.891983263737195,29.455136461013243,29.024510884199614,28.90124716814731,31.792619866365758,32.32446428515797,35.55946440930207,34.11641701032572,30.74449094333824,28.27355583391025,26.1931935561386,25.04765589741836,23.785184650546036,26.816585580955167,26.57363419307971,30.563484948065806,33.31493784117198,38.10690749440381,37.34868803309554,41.61094907189025,42.73452843950487,43.60048961578952,39.68807657754973,36.07486686515479,33.18193930761746,32.03130852119321,30.547114801437324,33.423314217089214,34.3635522023266,38.64987614776269,37.42298118130813,35.708467524062634,38.93095840036711,37.37080990809429,34.53651456836592,33.947810260678715,33.939078572732875,30.7754284930011,32.37682062334532,30.797161890121803,35.195891507267845,33.2136655515771,34.26643150663318,36.02264242290474,34.457927820979265,35.93224475103502,36.551790431931984,37.1176854847043,37.10298214671622,39.438756385049636,38.03209813557052,42.45817174775625,42.89685936578705,40.708678424726905,43.118869488788455,44.842725449456275,42.11523297946368,38.76077367451325,38.97753541647254,37.38707415842897,40.68105455863018,42.167853951829805,42.886397971331824,43.561999640202416,41.68546153725916,46.773709931786456,46.89575666845091,47.72625714039995,47.20274995270269,42.75057882166217,47.00744017498534,49.361576156308395,46.66975915833734,49.49122384685594,48.06467003440745,52.62592199777393,50.29423673467814,51.71896418745442,52.3546168959697,49.845287527543384,48.57188796431714,45.965007744199525,45.88814578047703,45.288552630419304,40.46865570378639,41.55674333697735,38.3854913351786,37.32100649283626,39.23418516952679,37.810098062204126,34.26610484659835,34.31929218963871,36.39822664618985,32.36300014431169,28.918846124204958,32.364200924191984,33.725163102067434,27.562806733347802,27.781825593698937,30.166333763194725,27.338525180758772,23.748194274712155,26.793171892450086,27.462196129853883,32.051628425879855,32.7807015947115,34.00875485234993,36.634770461840276,41.66505054311098,44.157654043057306,46.94753466706929,48.21506250253339,47.31328836660623,50.128134331815744,48.318241843312634,52.360566533801574,50.61544281866594,45.07428177634532,48.239127454265365,51.28741136394154,46.9723871354816,45.311319516915724,48.87166782195883,48.24076334044648,43.83392749275455,43.82179030322336,40.452368784510085,43.29262588796107,46.02755573437805,44.655088211963154,46.738177871462476,48.57453587820961,46.274841949988044,42.818276449817745,43.57988375108933,43.79649198821744,39.584433851301824,38.08871079206159,39.164399887343805,36.85556101248565,33.9476641563576,37.93609136645123,37.391902758362605,32.60331571421133,34.17738778776637,37.9693544130308,37.62876355768731,41.16522476516442,41.19149937508918,44.780844408691905,42.35357074906816,37.514217392632474,41.79809180037717,42.55151418355974,39.06920566577177,38.76658093490972,44.33151297132246,42.06647485175357,37.381654467900304,40.71937219164475,44.609146037014064,41.77623652900401,38.170876287874904,33.40757168637826,36.314657546701675,31.663310284566823,31.746940687055933,27.162722783322373,28.28654164744248,24.22816906908632,23.092094738001578,25.91592635780872,28.849715220525336,30.552925167513706,32.39008378269468,29.56427403084926,33.23556208868953,29.451551571854573,28.165772868239955,32.37953352996931,33.51884871038431,32.77475015178204,28.757162617833405,28.324971390503645,29.38954303963887,26.47098841297976,23.05106063495196,25.6993628105375,27.1341037920465,26.609098338291027,27.479978652671985,28.73921036779918],[19.109427826566378,20.19476995023252,23.997739046655635,20.877310535673093,26.543820766989906,25.367469028724365,27.802763667790884,31.088795622283968,29.187984528655402,31.005452690668086,32.686886430629215,35.288143638357106,36.368696736806505,33.51662633190051,38.187546061681886,40.4439940763073,39.21251736537228,43.038592062687485,44.5976588286748,47.758686844001694,50.31723542463404,54.05349112128199,54.26148687305055,52.9894381462805,50.836226413235835,46.81464728372324,45.83056643872973,42.36117812179826,43.52436653968233,43.40253688743979,45.51580267614798,45.61067947485955,48.52144607502013,52.18457750117913,50.57456072073626,48.78539591696426,48.34252594782763,48.80396817967637,48.46685941650992,54.34103881467134,50.59750175942765,51.40347864662938,55.91471313963006,55.74714516566926,56.58074452704825,55.71291341415083,59.72395217603462,59.637238254892665,56.121464645499366,60.50098313592041,63.24233311969601,64.17718569576378,65.23189506063561,59.80957787848903,63.47587362233263,65.18105942237499,61.45355189902988,60.95960991366513,65.43576676690095,66.4380696075703,61.7453218420107,62.12303728215177,59.83890123032695,60.94789032852718,59.05749643525259,55.65518341262607,52.04071114315524,49.22331635149997,45.75832438743058,43.3707139033322,41.95581554710624,43.29940849407005,45.98703803124959,49.9002744666081,49.73086157425823,55.92542994649877,55.61934233232259,58.35825033245274,57.80539233690664,59.27640582761788,57.470273214381386,57.10966788315126,55.07431767017296,55.65935625580315,52.4229229683974,51.31460012438346,52.94038820445029,53.58794202749274,52.871152606880024,55.509842536511556,52.64566317083367,54.78993849334601,51.207792321232496,49.21283780952801,44.61733203641716,44.045398169201846,39.87597620515717,43.39437098654765,41.05233102704808,42.221394851704034,45.109388577296144,44.3629209875172,46.86232675749884,44.981620621764165,48.09987426034939,43.313828709416484,45.48809457996846,44.50837941763322,40.13990515476288,40.32116822717604,35.675054205293904,36.74977979081815,33.30891217349589,34.074387329998665,34.15170605469259,33.99648990994195,37.10028605701661,37.5006105488295,41.02644441158153,39.70231956931131,36.33291631365742,33.81886344918067,31.489786570133074,30.185884611164123,28.683289700641737,31.190138425983527,30.344874350962737,34.40417778678075,36.81784910802644,41.75611898302303,40.454281767646115,44.615011677389994,46.00932312881905,47.2052872342436,43.31537470228526,40.01486614289173,36.61258510400958,36.01803747379925,34.80315760487367,37.92961930473038,38.926062069284804,43.39907312917092,42.4625735541783,40.6478878759192,43.91780984740549,42.512286912985935,39.565047760780175,38.93523373695811,38.63618040916187,35.4717350261633,36.62479858493192,35.15413737158504,39.22597937086988,37.05588261411729,38.63578543815111,40.51962390217134,39.225490276280674,40.398800042293345,41.40480077090249,41.54673362741143,41.64436727365577,44.35133811358194,42.748036887476054,47.24635230612252,47.32415803290485,44.90251281430401,47.01328049460536,48.5281134494992,45.50807977804622,42.43010237009214,42.68100015393569,41.51011560651309,44.94456868643244,46.590845668314195,47.50510585445256,48.12358541244058,46.56044992242046,51.49803003861284,51.62466313093496,52.21881170659133,51.610724312493645,46.90166916402196,50.927705506714695,53.207259593456854,50.65882617910246,53.84883163129809,52.72228654929628,57.114297900044,54.6692605344721,55.82403367726178,56.16888604952978,53.70342204727912,52.07281385518413,49.31033325779987,48.962854898662776,47.95722748665368,43.13432467902582,43.979980105049,40.45863252483312,39.739926940940336,41.01246503799832,39.8606755333865,36.564980308639846,35.88694793344407,37.69825415409745,33.98794446732452,30.271192414750658,33.119461094803675,34.5753886079629,28.574248694958015,28.13528262302652,30.15340809944743,27.799028004995773,23.949782989818956,26.053256694395024,26.950694346510783,31.122929096437087,31.922507430624748,33.7129557841026,36.06955038904398,41.134653577294735,43.195314509191384,46.356795145591114,48.104847885210866,47.65868356490528,50.78776838605593,49.50326609882585,53.44373364506789,51.250373600304535,46.090828556220195,49.62391288720072,52.316698457080925,47.871837669148626,46.68482861184813,50.46400637534368,49.29420182167954,44.85699404070874,45.669102275511925,42.05390403098219,45.499333919824984,47.97814863822758,46.31392659045046,48.70103418404802,50.2615634548732,48.47657505640364,44.88562635818374,45.07794924061581,45.64551114044167,41.740467376678694,39.66005080630591,40.52447003088459,38.39069033436523,35.23955063642558,38.67811055949187,38.10207277870778,33.37897478940006,34.40080007832439,37.94830074937173,37.68371102290091,41.499355035769995,42.0584230648271,45.39196310564695,42.401529890187454,37.99147341463196,42.525759408270524,42.694728010179304,39.121820084810665,39.44745474481277,44.659930875288175,41.821936302501506,37.5479230023029,41.349569998442405,44.68240447614075,41.43809945117466,38.09288896582737,33.440352093373406,35.737264000105206,31.073240660679335,30.728860977168964,26.76938440617504,28.494991188341935,24.95250417384258,23.45674645316264,26.660156384950636,29.318440643750787,31.62623872993069,33.56048392089187,31.637226133644184,35.63945883059686,32.44511878607135,30.700526486295242,35.123309772598134,35.81513196011708,35.644084999541505,31.6888584949462,30.40286652001558,31.617510367912296,29.632369127713822,25.4918325017671,27.297117655262387,29.04853102006423,29.08110054551857,30.28055573789549,31.818970457295052],[19.411086588273086,20.813764065025513,24.924583340413207,22.560112056009853,28.339087684919694,27.261460397961915,30.064245006495568,33.24293825659229,31.668285132115134,33.82701726239994,35.56024569492911,37.9210146798065,39.21081184230397,36.59746541252806,41.25000710386202,43.42658462942629,42.31762360264858,46.25978389545367,47.96652575187015,51.00892692202245,53.66848558411803,57.34720548350355,57.64263349952851,56.35365386176612,54.114191331273226,50.135159791067096,49.008816691001414,45.50706974215202,46.61392911228892,46.326118377369944,48.60239388706043,48.42565706026025,51.32632388808985,55.127636465636584,53.49803249350365,51.83138208866084,51.17663146307183,51.80174936449369,51.43091387804282,57.20034285773708,53.58866983551447,54.554457744421995,59.05216973615131,58.79854184302501,59.64307959499419,58.636650485805724,62.668615292604656,62.6342875500981,58.97439842078955,63.25666353239832,66.07753303633285,66.90472622097028,68.06873362654487,62.62984764115088,66.31574308178256,68.13949229499113,64.49562697647612,63.95992379700605,68.45622089271939,69.54234817265385,64.93012851003394,65.36450907235323,63.065393946118604,64.30649129294218,62.369063025497724,58.902181298119125,55.42877006237403,52.54091389520944,49.19293731787308,46.741558840902684,45.418884192696915,46.822727550188006,49.413301980147395,53.357338027505946,53.04618274961101,59.23653973712563,58.86000275423066,61.50933929278638,60.89769057096035,62.338393868144955,60.362620649876526,59.932825692950026,57.704312826810344,58.24283073821532,55.12470621486461,54.07952599087663,55.905679011188624,56.43937450184458,55.955454103764815,58.52203400412234,55.77949134517042,57.98209772319213,54.343842060043876,52.22045741155642,47.61423013013709,47.029842053417305,42.867691487716655,46.159706053888094,43.663546319867905,44.47618639317904,47.59705451150757,46.510576007174784,49.25870481786528,47.072801164742856,50.150111696197335,45.25868872619171,47.138117873312325,46.10610541444478,41.650452235017596,41.94516374094131,37.414394746783664,38.89518236014268,35.64441245150103,36.651746600654086,37.03643735281855,36.99030870433925,40.234344074657415,40.70562872045342,44.402840520994786,43.011422548753565,39.68958821153616,37.07124692549343,34.70347486814171,33.21038383086413,31.4612820214949,33.71668147134465,32.37461513695708,36.509789757335966,38.6922117513437,43.67310332615679,42.14809467885641,46.1717932261539,47.81020940827674,49.10405077572404,45.36172923478426,42.25322906386083,38.64931082133857,38.458676878482414,37.48927011676514,40.66907546228841,41.8745855719678,46.446720928247785,45.581121019216056,43.636854083786105,46.874853098555306,45.45686271805607,42.453320079075226,41.6804610382641,41.14126112168013,37.91684405921656,38.715470188144295,37.247789090380984,41.04077478482904,38.70979016929,40.649237070139364,42.64582487192644,41.593743612940294,42.583010142529815,43.9005344213246,43.818428152834116,44.12513198477564,47.071942653474906,45.49403173878056,49.98530043883019,49.91532163194503,47.506169471806224,49.37178279877107,50.85945724263112,47.65952599835722,44.767182488893695,44.93632731481273,43.983931921763784,47.38504215120612,49.044115152676184,50.00881017313267,50.49988603597542,49.12561641209538,53.913065898687265,54.14005685569151,54.55921091195259,54.011437476301666,49.09099783309111,53.027830647881274,55.31387258609574,52.90231984884843,56.33912300379023,55.42182677475387,59.741777143200125,57.345222349571046,58.27818051542395,58.476387201391724,55.96867363048564,54.133401021805895,51.25301735180817,50.71231703393266,49.460949478445336,44.656363316421256,45.25863696091386,41.52532851696504,40.911847197009834,41.74443036666348,40.66996772567277,37.60307202968263,36.55451623602543,38.078287676289385,34.56035777292258,30.88422382909892,33.26020440587436,34.59871105153038,28.831555535833047,28.056849272299214,29.719703169122628,27.621758001114635,23.801276902664544,25.291423169951443,26.434005910160288,30.14870209778246,31.238518772137397,33.25715159006564,35.32756344062622,40.40664523450476,42.11609550848856,45.538209003937226,47.50678097210548,47.37486437124856,50.66185933388189,49.701822301808924,53.61473174417543,51.19508265666616,46.32274886686953,50.058492979826966,52.593991620222155,48.139074133693036,47.24346502334091,51.165458832266665,49.76497981539553,45.342274302532346,46.649545087956405,42.812341025395845,46.50981139595207,48.770112185260786,46.85143512407436,49.348463921349584,50.653948517129706,49.19276245234698,45.60556894680284,45.37165269049612,46.09025648878017,42.44348585044406,40.04393323457925,40.681401959742125,38.646621002587956,35.43690748272079,38.481189383994824,37.82447395528413,33.19751653255002,33.92917274758927,37.2730327664279,37.13350294303766,41.09492751706501,42.01305041544968,45.20205868829975,41.88905896511256,37.83287148736636,42.5197188610103,42.36804404556968,38.79235453794368,39.56756332103741,44.537618622097966,41.4222266958906,37.48540711057234,41.5658696404492,44.54465077819146,41.13312191517246,38.01398297699917,33.48433038811041,35.48948847758656,30.929895362465242,30.14276464492085,26.652074364646403,28.56139091853852,25.33028514584805,23.872554462426972,27.2567755067089,29.800753353234345,32.38801154548409,34.19476268949065,32.79508319381268,36.89796366422849,34.07229050531529,31.94999194893028,36.34146434611385,36.689074957471405,36.81571196797454,33.022109190523445,31.199744274795847,32.3906506501563,31.038618724585596,26.579294295846534,27.757997750136706,29.597517084893425,29.9652180467322,31.332723821408003,33.036946953889974],[15.984719448778916,17.611677004572527,21.93911761351432,19.85637107749352,25.69523836611391,24.14793891273811,27.097601301356296,30.077833076542724,28.636023092246898,31.099135708692838,32.82610550700455,34.94910839947794,36.4765335597559,34.12242201990949,38.70833339463619,40.79832196001271,39.92293480486083,43.999593223158925,46.034579979492754,48.909772523702344,51.776102288915766,55.42515167998719,55.94149003421719,54.800964934348904,52.36618995436575,48.36661465939327,47.01295408302739,43.37025992493951,44.24851631772785,43.70264251956025,46.07383876987093,45.609213126340286,48.4710085073102,52.40848647132221,50.79414881040433,49.3144486818076,48.46311312494248,49.39279200361258,49.12591971256689,54.86273531537688,51.52660803938785,52.49942483888933,56.990148173718744,56.76516959543349,57.8026376725072,56.79499646865996,60.87315481157943,60.66890474582213,56.88951924198463,61.234643590124215,63.93567362979937,64.6304836383636,65.7603054320243,60.26696223289527,63.86846867781253,65.83151601070405,62.26902469356759,61.569133691769686,66.05472394196474,67.33755642399575,62.7870390269247,63.16993471415955,60.78184238489846,62.27618239644835,60.34985656292464,56.74390856250155,53.47667429565173,50.406069663312046,47.2859676904809,44.66863211602711,43.55599194239518,45.117187119977096,47.44781286549845,51.45405714573906,50.85117886187926,57.01678975314602,56.56222702286615,59.04814235909864,58.4047088192671,59.88122653424835,57.728540173483864,57.35504987972107,54.929562535792215,55.59312686972283,52.618577475690714,51.46676425536278,53.44436132472557,53.74956692227152,53.50179020557321,55.89509034739752,53.298247491253434,55.573135507313296,51.866982985628944,49.586176101604416,44.97298199016074,44.413087173426014,40.254011919591136,43.28055909375689,40.65612740527767,41.222352266577495,44.50514002075639,43.25171682108644,46.19425172112907,43.91591733185363,47.141617602942624,42.255009685117095,44.08042987592457,43.22356608918353,38.75493379425331,38.87304478037256,34.38968545285241,36.03530072532909,32.765238026567744,34.077120793348755,34.561060516415424,34.804557447681375,38.1311299039984,38.93459891292995,42.68906217991812,40.99567013071482,37.79493361071083,34.98060673872759,32.80253205330981,31.035935611609105,28.97763836638082,31.300625434103917,29.562292643817493,33.85252008912092,35.99918248823167,40.944581243982775,39.6552443380904,43.57539785399913,45.39379467894473,46.45346406931631,42.97496575028139,39.83942111519925,36.42898882307715,36.40586743858047,35.643032664678685,38.6449307247888,40.2859500676578,44.8649574030957,43.78211643294997,41.65191503676303,44.761598362921795,43.11759782868389,40.11732471810086,39.06887680522844,38.34321176839293,34.972468914190216,35.55123291267279,33.967250449884496,37.61889025658036,35.20170073743097,37.277793202970685,39.33692389563727,38.45113540867992,39.39694143479838,40.92121667214989,40.8580854806027,41.48334155643569,44.51231124444822,43.23633039672537,47.63470858643896,47.707013875857285,45.6376527288536,47.36581484114986,49.10322397187068,45.87780920385251,42.98885421047736,42.919211688852656,41.88081690716276,45.03792307383108,46.522168773751055,47.34850968632001,47.637829258039865,46.28151235262543,50.948323484172604,51.381476499248805,51.72502486095401,51.415260735391655,46.342134321393765,50.42031641325567,52.84091713824657,50.5218925558898,54.02644890637531,53.17326689836486,57.574383051129765,55.44161118902623,56.24810119753493,56.52878375035801,53.84376081516674,52.04385745677076,49.09629712093417,48.50512623757254,47.282429687150895,42.456634463321265,42.876000434673095,39.12168224187754,38.21864013043683,39.047375345856366,37.715887072193546,34.715049380938225,33.904159896567094,35.24975658788722,31.556650983101317,28.24355339856721,30.598133854450758,31.588304283247176,25.834934002682836,25.321417327859653,26.898794887578113,24.487884305360318,20.886906584032364,22.739013905361723,24.087900444754002,27.732355012690334,29.368459329487077,31.00228730489432,32.983331007099856,38.17937829633119,39.9092643704808,43.33615279324565,45.02049334130259,44.8184844015282,48.002388395694034,46.90328458216543,50.97165077205268,48.73052258149931,43.795371790867925,47.46296637582301,50.24694325800532,45.90483131634771,44.89055756224701,48.85103044695067,47.76277558847372,43.34154839525456,44.493591148323056,40.46464821533122,43.873283201980385,46.072491609867114,44.011641280801804,46.33498677411051,47.53316104760795,45.9815936983778,42.53408701957004,42.236080158439904,42.778862663530134,39.15800078968771,36.87496508071115,37.375260086641525,35.24581048089684,32.165481632813126,35.30549101070638,34.52677102794273,29.846754314613413,30.839187197506774,34.263137914809356,34.2472502614994,38.17833234715004,39.04145814415977,42.388463803504884,39.21315644050541,35.11461283281782,39.85267883927756,39.9395748414965,36.413659332599394,37.17385622556351,42.29700166389254,39.448937030239485,35.46511872955975,39.51546853824891,42.686427561671216,39.517748924405055,36.38183285731049,31.793433198966852,34.256213206584775,29.781819562787273,28.723650736638884,25.006253358875195,26.41142521807782,22.849548931471368,21.965506211593834,25.36126209199461,28.224568707646014,30.580587971268486,32.00877025605702,30.36862477604151,34.33009113069949,31.42491404556022,29.033816448808434,33.191995297612905,33.43421555973761,33.42248632215923,29.784742772301325,27.91582799705915,28.906740684366667,27.62007529138863,23.232778562164974,24.30082391885473,25.99779465356956,26.34954234350365,27.71950534292771,29.470069865993626],[17.762615450910737,20.216309995970693,24.966066239379803,23.381432220044296,29.149954728621086,26.380067579368852,29.269318170315607,31.57611946911246,29.77777913303102,32.57691908805988,33.742414145703684,35.49381622121494,37.84872691216719,35.492631504854074,39.64087083987081,41.93086606408164,41.68230481812264,45.68879295948498,48.100748447227254,51.06273187879167,54.04234123270874,57.859305928862895,58.50062222672894,57.669535277504174,55.20288382395606,51.04181775822632,49.68848145758984,45.83069195931142,46.21694348321172,45.31579533366331,47.06168309231074,46.59481378420753,49.00955424766002,53.10583679142424,51.92934096124479,50.83474340128516,50.044974569597684,51.55346834658414,51.67070950542205,57.548190776641164,54.51662157574326,55.11243496416425,59.6161980597614,59.65851374557785,60.99121579190444,60.23083086888299,64.31894093058877,63.77206053681082,60.06704184501792,64.63513171396434,67.00821546201898,67.6219945291755,68.50169037402007,62.933746342601786,66.299141712928,68.34502502361076,64.76712798703488,63.75301076592614,68.14548730024188,69.70975620933294,65.06375540895641,65.04547607414908,62.37237708602462,64.05710830200954,62.44941133409676,58.72268556269275,55.34606876702799,52.005177159099375,48.922163114840245,45.90660067967727,44.948159271432374,46.245073988035216,48.412656577836586,52.7237622125254,51.97097583156016,57.963930825487736,57.92980478540974,60.08857393449072,59.78272205328047,61.617150721913454,59.43667859410151,59.482403637748085,56.88812101307099,58.023296018949225,55.21713434474534,53.64582286880303,55.538487822392995,55.37560018812048,55.13247879738126,56.9293649261558,54.28255530824783,56.20798959548436,52.35636371613217,49.91918455620939,45.471570044406526,44.46581950640696,40.53031291828922,43.59890015061949,41.04405683292663,41.23858142166474,45.20823223603043,44.14422041101328,47.539483538162195,45.51019976852983,49.31466696819953,44.577818693284144,46.43614492968361,46.05277648142112,41.62601264851659,41.25061222377844,36.88197245553865,38.612242491007,35.056268702963195,36.81312717042752,36.895466563348194,37.60775511176838,40.72476055415142,41.98761084287002,45.28363888747171,43.131529472202686,40.05079549357624,37.15577989244423,35.62372292993031,33.80706728068617,31.588957847387828,34.484705667698606,32.4417367759361,36.96540545533685,39.17754482726405,43.98106988932085,43.25064489144591,46.99745546134761,49.03362409455616,49.62136687720585,46.55739908074956,43.26039658370017,40.31916995049543,40.24226060008726,39.5045466897737,42.17053144330191,44.07695139076872,48.48232208490939,46.975359311040926,44.82178650079103,47.751301637362694,45.64440089364019,42.79766528144859,41.336650804893154,40.552505666591955,36.78715061996385,37.16062861125339,34.859493607380145,38.1934510125222,34.95180557238855,37.139287133678465,39.77600768780039,39.34813742998316,40.670443589157436,42.41428972936003,42.93089123284127,44.15733493539688,46.96690786046994,46.33446669452204,50.53948716679778,51.08335422040516,49.50433162667051,51.27208601692608,53.32526311912949,50.20168612503544,47.210509737473195,46.91037727117491,45.57715966374562,48.35660470329824,49.48044502265251,49.91279403048421,49.829801764456725,48.166022708811376,52.69834840995635,53.63973779865872,54.037576828514695,54.253239256047245,49.08176164905071,53.52283558426748,56.18292575961898,53.93696242107761,57.31156375523201,56.315136445489884,60.93463001295542,59.14652840553712,60.00477960490731,60.51299635591536,57.62900787465706,56.0144452358922,53.04610942311936,52.46059819938255,51.342104791372925,46.51459852021455,46.69429296699065,42.93584337983947,41.556406442976396,42.300650829375684,40.46991275899472,37.69840595595997,37.293010754785705,38.14580618744955,34.21184334465166,31.730593235249028,33.771624091156355,33.873443661267956,28.4762970735175,28.31956441896401,29.314440411884114,26.411126628373907,23.581700446839932,25.491105207391733,27.45257628668001,30.32776585183511,33.162385132030046,34.41379763457683,35.90713810445794,41.24503194494743,42.519268221672434,46.274749920450844,47.66872797902358,47.654181255198424,50.73893578018809,49.60734615906405,53.94215455146618,51.89252779301317,47.08482417805055,50.70392524291893,53.808162237367455,49.66849065597557,48.61313776602003,52.64803823036114,51.92111174484128,47.539949010061854,48.60733015311122,44.298582550522525,47.24785079129779,49.2703132096669,46.848746487332136,48.79346705278407,49.55622691221673,47.92334302690283,44.911197998964184,44.21151650690874,44.28004537997702,40.93587727761724,38.8918890076281,38.73873912838692,36.35571301741313,33.79791666069257,36.78030072645036,35.41424048419359,30.756291429124925,32.321658748503864,35.606134609959604,36.16790040734616,40.1387938515969,41.23325854156283,44.78853073304688,41.62657539318312,37.863794436303415,42.764475109516454,43.03511746803648,39.642733896053755,40.700944770337685,45.84395869596026,43.20359155813977,39.44824700744889,43.56970632562434,46.75083358670429,43.783403826762914,40.80227866747953,36.27339808425967,38.98292942595169,34.68093500301773,33.12481984034832,29.55225285072305,30.445825231830852,26.64179773963137,26.53134666926713,29.928400852279736,33.03604648536669,35.20193085645971,36.137064835813845,34.25752767985002,37.93608938276077,34.85886728514169,32.044594252538786,35.5473689426473,35.45446057961879,34.929997627153526,31.89946850424799,29.93728901337944,30.091333542438594,28.987407449910712,25.17065998225349,25.596984209218245,26.401019868094835,26.572063017538234,27.592267994857522,29.358124189615182],[17.018181933371977,19.808904011383337,24.585340550091427,23.21764545406521,28.734476442432186,24.986799013244696,27.713689592202517,29.46566418632928,27.462503571153075,30.50808599427749,31.303726406035455,32.715640069335066,35.61745339137073,33.41251426542037,37.208865506821866,39.5433919165559,39.77678579861688,43.75834627217752,46.54116291974978,49.43278052549231,52.56419123496394,56.433108298875354,57.267559595799824,56.71612886403348,54.138647073948185,49.90385747526172,48.44556075519716,44.426547667658554,44.396146896582565,43.17927970129926,44.582992581632126,43.99819127063583,46.12537441973662,50.33293901768433,49.41660923571293,48.63195868959427,47.81284504987403,49.78278291499304,50.18976720335325,56.10716259167313,53.40893746034477,53.75248831516491,58.22786402148706,58.46242972381329,60.072014810675526,59.49102192472668,63.5830334432406,62.72510728860761,59.048376878953505,63.78225965449308,65.8601815372648,66.37575368190477,67.05732932022988,61.447107820525936,64.60122342624702,66.73664328040913,63.1983053008697,61.92052186120471,66.22793170057254,68.04302396460815,63.38591610826133,63.10235512090187,60.23736240171849,62.152358829440864,60.742643803545555,56.897404139127836,53.595134990136366,50.027430297752986,47.12869767802115,43.82841766522038,43.09591810951584,44.34833521005559,46.23380768097292,50.7023778091881,49.69884005551049,55.5434592230415,55.69124421745754,57.57513500093505,57.44443224354825,59.49258103644064,57.24271697432145,57.57608347964422,54.83879989349178,56.32459206390552,53.68553579570737,51.80471581613748,53.67322779127889,53.13773188291834,52.988561026331276,54.35576541691914,51.7659158868677,53.53124790519242,49.59434881245821,47.013697486821016,42.68680232679282,41.46989483732738,37.692851556655924,40.630420542515665,38.09561502381182,38.031305751695236,42.38611266944668,41.453101637207546,45.11196901869861,43.29710602266786,47.50802885741583,42.94738617451624,44.89427598071581,44.91445155148046,40.59261869181492,39.78026027798755,35.5226818308676,37.219113102874786,33.474738554650116,35.574762280807214,35.39537790516652,36.52494153016159,39.490131803821384,41.195502913598006,44.19419282158516,41.62690202185438,38.73050161585902,35.72698945960642,34.725776005037226,32.782885120889546,30.386980405569798,33.669809470910145,31.414109405745315,36.05355061129865,38.33202702253712,42.95007961784392,42.77826661115562,46.37627569890786,48.52532537651785,48.65921434460393,45.9672987995975,42.532877377215385,40.08862717826975,39.94986792329381,39.29392856976886,41.60122622786239,43.850167213888945,48.083030700440496,46.19624120191036,43.968481290362895,46.686253845303234,44.1995854201219,41.49421437433571,39.680625627944046,38.83007851484012,34.81488750686811,35.047168565736854,32.275052026188646,35.399317811225856,31.710328775769042,33.88819393004573,36.83647482283959,36.70045514928828,38.26623034315519,40.14079080352173,41.07785640646125,42.76393726630041,45.390488870155146,45.31604748301186,49.30903895453902,50.2512601022415,49.17486831381794,50.939787639407506,53.315675261254825,50.3241210736557,47.24686635245119,46.70062889388001,45.090592493344424,47.48291027210735,48.27634381029811,48.376521049877006,47.9995281583174,46.12160075880049,50.516558115584616,51.83243279431037,52.27136983705121,52.91050316633522,47.709451280622105,52.43790692637335,55.292081092419835,53.11169140358297,56.3419021300987,55.24486967443029,60.02748292992975,58.594295384401626,59.467079724972706,60.20137647667586,57.13136773459175,55.72891576029369,52.77564513024594,52.24263341839742,51.30751266084196,46.50689613141699,46.542693643423604,42.90509663147272,41.05750317279748,41.942212774022984,39.66538976719031,36.99768358142553,37.1389007150639,37.73716051077939,33.53450654875449,31.767521677428192,33.807623027074044,33.27090066562256,28.08156215298442,28.451426934301075,29.242511327275434,25.816616904469,23.63155186591888,26.040931477353663,28.248062860782014,30.859633762022067,34.40059776384043,35.10169716349134,36.415714913577915,41.81112947214126,43.041856297963555,46.781966974272976,47.72523658419635,47.60140212033344,50.46078408923008,49.07095156250612,53.62240311068446,51.91413255915281,47.034258831312236,50.45482332347169,53.93305375944064,50.00640471728326,48.72938038446711,52.72663260385392,52.49319009369866,48.166195333042076,48.86322254449706,44.43211441136375,46.809048884231295,48.778624498775635,46.21654909218153,47.77461514508929,48.3517616670157,46.46917887045238,43.814093562243634,43.073353368508236,42.68779836745875,39.41979102668297,37.77256564377357,37.28729114311385,34.678015593878236,32.57376265277094,35.69567948862073,33.991344441077736,29.338186391095704,31.528631206374286,34.8444201023696,35.71379694165733,39.548503489576696,40.526632296654775,44.327269681480054,41.46491955136939,37.719233304534306,42.59453080714349,43.26705982682609,40.01804614588798,40.985987427747766,46.29028662175425,44.081735382747055,40.29718341812717,44.25597256722562,47.69271321991519,45.07898236280812,42.09170862653548,37.56155705252707,40.751546142671664,36.58954594225616,34.86544838727336,31.08874542801692,31.340983972802494,27.179314145344815,27.782139161629836,31.023341622860542,34.419550706386545,36.20176940089258,36.693442082393425,34.35141377531042,37.67939413335346,34.359640400138915,31.354648076663537,34.27815841331649,34.08816935040384,33.03968214316978,30.450253589665085,28.698548004763015,28.233837708057685,26.998723104856815,23.83351711154399,24.099805953313425,24.18901690609374,24.04120100136254,24.729776685857196,26.43582273511101],[19.965847972330124,22.949947837045997,27.903049135552244,27.06774416971918,32.68847706570499,29.293926744316067,32.274445238071266,34.02613259022289,32.276235720617265,35.437519670868035,36.2696598945926,37.56516699846955,40.541508848269345,38.412921636803034,42.19733328427461,44.50665084312254,44.75248240579828,48.75568097867414,51.51170331222155,54.40290925360958,57.52350373456058,61.380113753985924,62.185078516431844,61.565101550524815,59.005792963838424,54.793971546569274,53.330318458585566,49.33611680447311,49.35101995065594,48.10182905261209,49.55300452162241,48.87504857877244,50.961483830480866,55.221074842894446,54.325317722972216,53.59029815239904,52.68548741375035,54.686521808323114,55.03732879884664,60.891240973152414,58.19442099795422,58.652174101257295,63.12067342072345,63.284614636467786,64.83602074420583,64.15327696182209,68.23958310097402,67.48178152216454,63.743884306593806,68.37933392841222,70.55464389736406,71.02891573199442,71.80434090382575,66.20003460269933,69.39650616344626,71.57314723711684,68.06530370382535,66.80159140920131,71.11988128864235,72.94198869185311,68.3291634197448,68.08336414171117,65.22432611710259,67.15123710859751,65.72578550008278,61.88079583466107,58.58820388805519,55.03156377766754,52.109933461226674,48.8204801670529,48.060560367583015,49.25190067226009,51.18600961147333,55.66396028802774,54.69044596150344,60.50697883001772,60.68142724763717,62.53113179474799,62.4002352605358,64.43514809325978,62.118630581195845,62.39699355465138,59.56976722500126,60.98996143625622,58.40145733986169,56.600999749563634,58.56924446719206,58.00438450859873,57.94967075763115,59.280063602355504,56.72763198963018,58.46410480070446,54.51127726937448,51.894281359950874,47.60534256949066,46.33160517620292,42.61016955663219,45.460148088437215,42.8765695051835,42.5604398256746,47.07891570683763,45.91683041878409,49.73705555444183,47.69719756779531,51.82478459867227,47.18331483019899,48.85585188182223,48.78277959979008,44.39184435404681,43.747292317896566,39.59719881146509,41.60090023549872,38.04349458223827,40.21031460424809,40.242458705782546,41.31776705850513,44.3658326223052,45.970123546959925,49.07567287763951,46.588649943481926,43.66103706083599,40.67140990528691,39.53250023086145,37.574804898599446,35.13417768267458,38.173331834967065,35.66806187927559,40.3144574109704,42.40608713865694,47.07030691762964,46.606741503422974,50.11639166213132,52.43197196706365,52.73245579034394,50.08112271847053,46.8180922707423,44.11374382316885,44.23517094301061,43.674909970365725,46.13279643476589,48.35793290345985,52.6886184450568,50.94437217307992,48.692636185152494,51.45155430645993,49.04314736393431,46.28861269974412,44.47595748796812,43.50047712521707,39.50498969785795,39.50258550173399,36.78803124147432,39.63992550845569,35.82320413726527,38.27773735055845,41.31296846913737,41.36429978738248,42.78264466140846,44.85277480299561,45.59593676963043,47.34816517783799,50.141340272421985,49.97089102474612,53.999244723442686,54.765304969548815,53.56050099756474,55.18677682809732,57.447772997433084,54.303454721287444,51.36558125983741,50.849629739609554,49.45457042167142,51.92483924551049,52.79429517341247,52.984525644947496,52.56037911287477,50.83519113609068,55.12247990760107,56.47390011859977,56.785465750126235,57.40548051112801,52.07606326408932,56.6795557744483,59.49847752202485,57.40608172620772,60.82869528941156,59.87658920801285,64.58172281687992,63.08118744060895,63.82502564129982,64.40640044197488,61.35420277236428,59.76220963751565,56.72700721144976,56.03571024386427,54.86416323523219,50.079195432586815,49.94739229658235,46.11237593128669,44.46004335904394,44.9010654823185,42.777000281357786,40.33773384531911,40.03542702094216,40.3723343775467,36.443528790265006,34.622533673096534,36.169169677731325,35.56538173631625,30.690094691224903,30.627959747959377,31.0055297487759,27.97485383893263,25.82381791473177,27.41889239272633,29.862267686516468,31.889500438631313,35.686185852581815,36.70770493338941,37.67976015573643,43.03802792158224,43.77130881918348,47.85750532725864,49.10972714640197,49.378410286078896,52.42337542907047,51.438549894512285,55.92044345664966,53.92944394481397,49.40367429533268,53.04879485047899,56.29643741650917,52.34250493408896,51.4059196043214,55.535952995874226,54.9807479488568,50.67216186395858,51.9111878438809,47.318379363126766,50.025995175313845,51.77944871758307,48.985388533185514,50.683956543846826,50.975760398858334,49.481293928814075,46.83078320686611,45.61574948540085,45.414612718606236,42.47538853440229,40.46745967128661,39.71500953328021,37.25256550187588,35.10694146908243,37.69361545636981,35.874828557175846,31.41834739590097,33.21152754532205,36.2052272892215,37.25403397406294,41.24629355499822,42.672481820263584,46.258980023865604,43.00340185569991,39.723072472112385,44.73962247377845,44.998312544391474,41.756168895784135,43.22786556793498,48.209861795020174,45.649372655686385,42.26087412690105,46.50961967119564,49.51481413750165,46.67239108579007,43.93867337410905,39.558760674195995,42.31806359453673,38.244540649201944,36.16071480723497,32.93635637398027,33.5067926265847,29.760579821366157,30.204876252978117,33.60875399171543,36.79923370256711,38.91646611932289,39.41633020571505,37.646577429661434,41.12787540647504,38.17432108936023,34.930309044616735,37.893022744182666,37.374710825226316,36.67607720089889,34.23430080062916,31.963198066965727,31.518417930058614,30.96292325852541,27.48276651561718,27.1071249126917,27.298466638973807,27.560431626958557,28.406671717281693,30.239275099221466],[16.666146149554397,19.946353502136372,24.980417068563504,25.284234763264777,30.69328778244571,27.3015582452539,30.705816509309333,32.19404034434772,31.18466885990704,34.859577209988345,35.929901693940174,36.75138712184501,39.855781970653915,38.3714115467375,42.140301444541244,44.11397620540385,44.522994802218264,48.77090521632263,51.884638911648366,54.36584098555465,57.76556217878438,61.40704553111667,62.52346017623592,61.939835314243226,59.09169061760573,55.01593486578387,53.14517561765975,49.09474567428205,48.96633422661412,47.38056972656677,49.37324420577835,48.02629798091978,50.20581255535373,54.672896667498286,53.59559284114782,53.08657827172589,51.68139577569327,53.987902895378106,54.27488133874156,59.843825518911196,57.54499218402359,58.31787079872969,62.7127888356977,62.70973832306692,64.38161986400934,63.464741666667535,67.6037067587877,66.82035170823593,62.78091001134823,67.26924633262577,69.48037281040082,69.69466091380401,70.63022025968523,65.01711090099995,68.18875749584039,70.62859077402176,67.35580013354506,65.97732938910123,70.30836125849876,72.34662264881133,67.96843068611832,67.89430664398164,65.05243991141882,67.34460998944071,65.75347102233569,61.75433409874501,58.956025622554726,55.25610591420924,52.76970879440701,49.43311478080642,48.97448612725597,50.53724769867304,52.09034359821639,56.48458239003515,55.060440951144265,60.859397910385134,60.654688623748925,62.32065529160803,61.93140776008732,63.80182586601698,61.10368232566878,61.208690871551816,58.008549900688095,59.340117374598584,57.035809193301624,55.35456652007238,57.74067764402181,56.954984445091846,57.463379634373624,58.73131552163012,56.56066240780895,58.599473354135114,54.609293411583664,51.74742526219836,47.429809746946084,46.40370957061492,42.66687499933906,44.82332977976482,41.91423855708061,40.994592429333466,45.63731750945283,43.79982495039852,47.924083462537126,45.361574757011276,49.35693644749895,44.65256759414755,45.87929501483186,45.832678425040996,41.43144206517511,40.841153212181844,36.97949302344739,39.55022541433263,36.37803453760254,38.96218345121015,39.56889797584912,40.900862509645954,44.19459019728376,46.05401021154041,49.53058589993207,46.845008243944015,44.115125970487995,40.88427309604407,39.70249965034753,37.32233850113245,34.420966446302074,36.99501864145554,33.699476296143104,38.35257536843747,40.06281687574622,44.64603816855236,44.10138802815608,47.29413054653348,49.97955673556585,50.22446027152739,47.98542682743451,45.014125993438775,42.27358063689582,43.01671017786603,42.944997708461315,45.28642920473197,48.08597247885853,52.51382420529634,50.770337317395864,48.213616959359705,50.80346617794088,48.323121500264364,45.51216241207788,43.401773335513255,41.97914720671521,37.98200807821359,37.36275112718426,34.82044226896824,37.16387023242724,33.41037757171957,36.418756225012864,39.37967210330222,39.77073716974199,40.742658988991316,43.314450519275745,43.608144321741236,45.74731983601695,48.918535945400585,48.917555231866686,52.82477929441676,53.43683902048602,52.50747421952384,53.67783546069792,56.075963959728554,52.742428829309134,50.081496310412234,49.27831378698826,48.11835502815344,50.331561660784786,51.104650177662165,51.307024743127926,50.6265205969181,49.278898325668365,53.21847461427884,54.736715638459685,54.73597811615072,55.532656231024106,49.90505526908221,54.388349881683745,57.26028403800944,55.43733396379883,59.19366152556878,58.60931202760378,63.19896233162857,61.984823829445304,62.31455379341334,62.76200402265653,59.56570662680743,57.75938788418023,54.57127669857664,53.6276836463925,52.2310464905728,47.54849864343238,47.01135611197611,43.033353998668105,41.286237060473155,41.261179885531305,39.05646041602746,36.98356199268932,36.51943885170778,36.392812532173295,32.635074652810914,31.29281328280291,32.27362387984957,31.217364819848854,26.83352721936536,26.721224024637472,26.59755264253861,23.6327260875683,21.979358305782682,23.242449322469916,26.030472841525196,27.389540378736832,31.929598027018606,32.6677872559486,33.23959152733155,38.575611846694,39.05092178322754,43.23358534442595,44.36105493606136,44.823700621030795,47.86200221487389,47.06408425666284,51.578996384559915,49.57780721093478,45.33427234206267,49.03653172374374,52.302710531786225,48.519637983091606,47.756648301559004,51.98204802232484,51.5154171075685,47.3073591144844,48.82951432680616,43.95646128440042,46.600585701952745,48.05214362923581,44.94017465294328,46.588805579578235,46.55872615557101,45.3555818323391,42.83910421455486,41.178214591346716,41.02947492412299,38.42163470648946,36.199719184394326,35.14516554751416,32.785404596251226,30.716296783260372,32.91259167997848,30.97412107507477,26.687129300766827,28.35866108008284,31.15785119552027,32.41371131043045,36.416399307565705,38.09324549849494,41.61085002996606,38.263573573476066,35.35203460608516,40.42367756606996,40.6204501929418,37.5173553609402,39.33633550397595,44.125234232465516,41.65952677930082,38.617283565830135,42.95087909105866,45.76412242709779,43.10445307291299,40.61975404890787,36.45536356218058,39.356097121210006,35.64741180364356,32.98612285102004,30.08471023847461,30.23214394786502,26.673856241912706,27.735131600198685,31.081815920466163,34.32530059810004,36.356477011500104,36.345225697183885,34.931985637003876,38.248275700679976,35.74380174858194,31.992199648515864,34.62613586080518,33.66147680911231,33.27911848371506,31.191956505833023,28.352607909364618,27.769061112609695,28.083571785436295,24.435242877213046,23.21034559553891,23.419903201943555,24.118646417019402,25.238463796088272,27.286477593552334],[17.555010919482502,20.40967871904602,25.37640920691374,25.30028117255618,30.953128541047874,28.486938937229443,31.96370483336263,34.032577926844056,33.07154222002663,36.440546199823714,37.82793619639829,39.06507171219474,41.628165135036156,39.89712855732595,44.02042333175756,46.0077997714914,45.93237997668187,50.1821299398295,52.906546089501916,55.50520662208854,58.73072648315011,62.35000810196836,63.24719351896009,62.39599107637793,59.68237028092882,55.65685840359848,53.93119738981031,50.0373909995548,50.324812268950666,49.08776395139732,51.3450991912029,50.20991721967976,52.67221084368534,57.00850906415666,55.691639064099235,54.84129176049076,53.53536333057697,55.349910643860326,55.36283107299246,60.938780930050044,58.26243792037271,59.23944973460889,63.67745825639848,63.52461024144417,64.9159175823974,63.85113433079029,67.98585605575107,67.51008183894022,63.470413727498965,67.82366789062856,70.32909695977932,70.67677467678172,71.78869740830183,66.21064526067568,69.57911123123606,71.8897697477613,68.55585749085468,67.44790757212972,71.85864851708641,73.62573889549473,69.2163784522535,69.37553052681102,66.71868598949229,68.74030495849303,66.975578799071,63.103997562361236,60.169086127734055,56.700781435499,53.98442651283531,50.916099528978265,50.207598453284724,51.7812938632865,53.648314101300016,57.912254173146,56.77549807040134,62.739662814656484,62.399134070062026,64.36608052613593,63.834252513970306,65.51616845363833,62.9365718166576,62.780421326100324,59.775983675835484,60.771645386587565,58.26027003097494,56.86544987424173,59.21624759947951,58.83011084188381,59.16638576249578,60.87435434842627,58.590090967966816,60.75714077042733,56.84630103381766,54.15167641802596,49.69824200289848,48.84483319449397,44.930839397054754,47.338325413119414,44.45091074136436,43.91339340153158,48.14552290342398,46.30115798481871,50.104360357919255,47.41897596963261,51.03471768208629,46.159637410166376,47.38945275000921,46.9364659545941,42.434412274542254,42.26167495003957,38.2426022574826,40.738694212824015,37.6815467701812,39.87378465425686,40.64477903353185,41.55449965960168,44.962535200719444,46.38290640250164,50.097305085192026,47.819203200533835,44.89040876992993,41.78000652297008,40.11362982315929,37.897393378235506,35.216605212008936,37.49771632269152,34.526163280532565,39.06809465073126,40.77677538916224,45.54822054767001,44.466983942606184,47.85560519871079,50.368840393776516,51.06918572643795,48.402574722929245,45.52146353147467,42.30178192802908,43.025015040491844,42.81832529962526,45.522463820062626,47.92961962052911,52.50158597758424,51.11559431679473,48.66454809694128,51.476551388954114,49.365630758182235,46.42514529294302,44.690310595094004,43.40014652538054,39.63858559029061,39.272391252734465,37.163178524824666,39.84329740108725,36.54589786023383,39.430386205601515,42.08957931571074,42.11273839029301,42.92890562934763,45.28057505753707,45.23991348655891,46.8663565038554,50.16046010853714,49.59934738936398,53.72830854047867,53.98015364236475,52.532526888962465,53.7614035874443,55.83052102416263,52.39416779137122,49.78497732355416,49.25542193998432,48.332961503044274,50.95202687413481,52.05737702279877,52.58311543828373,52.23412502764011,51.03232199397342,55.174645847295466,56.2920146502818,56.302342792975516,56.654246006896514,51.096752106008395,55.3169697515352,57.987972113914886,56.06086227469205,59.910181569649275,59.37453883235868,63.81929826999099,62.20956422362702,62.57445365626646,62.81997902959584,59.81608533351002,57.84690639481015,54.66933013121875,53.717129475212445,52.17548178019126,47.45451451401001,47.11934028432985,43.05407900443201,41.788178154251995,41.708243613903136,39.97573806810774,37.731416565114316,36.74973601162868,36.97011231036806,33.46382952502804,31.314528445716316,32.39237486599602,32.097103218546124,27.411911324561515,26.766391284213928,26.96028779489876,24.554517251113435,22.12746316225602,22.913027098974265,25.377034018657124,27.124762231177336,30.7861107656997,32.140615870707876,32.97564468832718,38.249693201205446,38.839642901990544,42.99853271733311,44.61419903786112,45.14154033498833,48.408853890941934,47.83394402095999,52.11281373510519,49.76956026249805,45.54366866263876,49.431741003901074,52.315992784457194,48.287686777881554,47.71695884676757,51.95484508966937,50.98257779489669,46.71493467209741,48.55814267299331,43.85878680210327,47.07518553269811,48.63674836188412,45.738536572013636,47.79094739235795,48.034008805218654,47.02065061230953,44.10625559444891,42.6016902391716,42.917550447617536,40.14755590443033,37.574879246318496,36.959239694697786,34.823455228140304,32.26151422834694,34.41138691353957,32.894509862282966,28.57567925819866,29.597755292071703,32.4089818184717,33.262726184765,37.38736115506024,39.11067635674692,42.38261735195544,38.75524073406711,35.74439320258388,40.81784854095305,40.61613981746323,37.34046584653126,39.182599027635135,43.837201732686225,40.9174241110202,37.8515332335208,42.332723156472575,44.92055429092621,41.880896197581166,39.37222055991372,35.17698287240124,37.573800460246765,33.676522406232955,31.249680437839555,28.531849942887536,29.38317267885228,26.178123239359703,26.45089071905459,29.943329248583456,32.880899208604326,35.30151604820666,35.79241259847952,34.789240342746396,38.46892975319895,36.13264684649724,32.664161700246495,35.92902181963427,35.16514838993649,35.241766812308256,32.635243797754846,29.7243167728496,29.815828034771307,30.035352683987195,25.791478233757594,24.94990760494108,25.912136990461974,26.802764201395238,28.186100391428198,30.217244743149244],[17.240992375495676,19.7804026710853,24.560878923564154,24.84529375648085,30.429133293997342,28.728246944359388,32.41491401430809,34.7386452050462,34.20674033511002,37.566319157179926,39.28113812322661,40.56015849941615,42.7739666736487,41.21525338885309,45.54067117067,47.349177604640126,47.00881532382781,51.35443668884379,53.96618058870389,56.42064862851369,59.64866744486191,63.12105988661506,64.01810854025732,62.9956923471218,60.23784350032756,56.345746386927914,54.521107316072744,50.73858862074261,51.250655226320085,50.100188575793446,52.81029635923078,51.49345707866624,54.192318483029275,58.514245507855584,56.937629398855044,55.96120945035268,54.47572063740859,56.07710990502206,55.857261816379214,61.25136481922585,58.5254927000908,59.81724695799824,64.21889898343096,63.85251679294873,65.09344786214137,63.800964906868366,67.92845712745284,67.6682339658399,63.49885122046115,67.64079736609632,70.36547664225331,70.66936578787302,71.9951305002004,66.46503790067024,69.97006474290869,72.32256613711547,69.0675348875514,68.10303829289481,72.57005925949042,74.24323267764284,69.96333858880186,70.38971025468669,67.887974364495,69.90049029940516,67.92595541943949,64.08327759490582,61.327229035636066,57.96656443014142,55.32309963874581,52.44207110119353,51.71553383208064,53.477756302807514,55.35942718117398,59.461624097046986,58.30847027180971,64.35191311929358,63.7182150408886,65.8002167642236,65.03260489460104,66.48328678526394,63.8033042916036,63.36322665147471,60.323585557415676,61.01984453267658,58.51665715671023,57.404211885074936,59.9376834041471,59.73201414516639,60.233322260520545,62.22065303981242,60.06164998431287,62.466524018869364,58.6114128457657,55.92642750111588,51.38971659295477,50.79091649248037,46.771114556915755,48.98801218547415,45.97605093855776,45.41498470126482,49.376583030959466,47.19668035910917,50.88746085382862,47.86226568889273,51.09152712351061,46.10148203606636,47.07779540075834,46.32969677789807,41.78889561849082,41.97486547139184,38.03454144924037,40.750628291896014,38.02493503041763,40.11970395591095,41.30534014708608,42.03326808261589,45.61875475134133,46.8398197352844,50.894453305430766,48.82101434296479,45.87827906746677,42.7611792713737,40.74499391888358,38.451294381073396,35.72706755533842,37.50779387838031,34.38860354172336,38.78991469184528,40.26808097634341,45.08613703266814,43.56000611284699,46.89549404219875,49.45897247534609,50.47178724718101,47.725429415397876,45.09990880437167,41.53951139663737,42.57336530680685,42.53345026777503,45.411689032760414,47.82111311501311,52.520836168976395,51.40742091991985,48.889446201597124,51.75233143003703,49.891993116802624,46.851278707712474,45.252253879164215,43.83750946493671,40.291669810604404,39.79414066703178,38.11878067696429,40.75036734134584,37.86828038581284,40.89891735263983,43.271431636276446,43.1991208160669,43.66403112296449,46.08988615154231,45.56616820101064,47.00168072803013,50.55936511789544,49.67801385832603,53.87455158820975,53.767795558493994,52.09573175391233,53.11081548532688,54.99249107649652,51.399136104816776,49.0013290571648,48.52373879577511,47.91674873219778,50.68016019430331,51.976052633963285,52.74655666434849,52.51087934501807,51.62616310401294,55.70699276895108,56.6071213791702,56.45847271380013,56.565222614017216,50.94574478900485,54.87228613806444,57.4043885938127,55.555447182586335,59.63365678790425,59.33237457548953,63.58636756286923,61.85259874571436,62.02059186646558,62.03988091376772,59.12166183027935,56.91469213557165,53.681889288968236,52.58562012815467,50.81769276399459,46.15713758648096,45.75498976590005,41.57120828969152,40.64530327938497,40.2612323910527,38.87575073839413,36.72417016191908,35.25043208122401,35.48632567776976,32.324191732384875,29.826956395340005,30.639209601079685,30.71668695397802,26.14584289201608,25.035693902234083,25.198357310297713,23.360325608724203,20.641162678358512,20.769699854942896,23.10811590161823,24.765671264235934,28.067572669053543,29.763221843411387,30.58040659492269,35.74457200861405,36.28206013981292,40.454521660498244,42.39186804272356,43.06601843242684,46.4904192199748,46.19424168883608,50.27952565378805,47.67224543539248,43.63856726434232,47.68071231139739,50.25531454204746,46.148976760255124,45.831785184098145,50.11028805247486,48.79136328997663,44.55307586684172,46.8021076287142,42.11407980988283,45.728739228606315,47.19578852033307,44.313462627137696,46.642658584624826,46.92645393680091,46.22408798003546,43.09436263552664,41.488666349007964,42.198512811107655,39.50530031689695,36.56832666809643,36.1511174513636,34.27693988380475,31.39745363986881,33.270807857151866,32.05632770200359,27.878598154227102,28.278154912794108,30.954248206402394,31.571127739258078,35.75592858550076,37.63248675989298,40.63835648055678,36.76746154392278,33.90414107414589,38.96098477742803,38.40345476937991,35.09080688711032,37.13281908153271,41.534812778271785,38.322078076549964,35.45517057108978,40.07148848793988,42.34988995213072,39.1219652025797,36.75341530350381,32.69624937096434,34.735433945809255,30.93646031872652,28.37218921188429,26.053894430475992,27.230433151280206,24.498075806524852,24.481207736977858,28.000251433337496,30.675631463241665,33.33474802503294,33.9283907448398,33.47462607474699,37.30502928368513,35.379722638100326,31.906265260429457,35.431842331532806,34.59179207319118,35.19651591208019,32.42304696112154,29.196910917610992,29.740962122598788,30.355102626006122,25.659267153582398,24.68129748370847,26.213199526098247,27.45909738469223,29.154612963092692,31.259876426042755],[15.573882984921166,17.840604966415096,22.569250194652998,21.97818747299565,27.73428469205908,26.068728019340735,29.532271328210232,32.1222901414954,31.27026985072184,34.334603361876034,36.07983320713868,37.670949057254724,39.62677335671549,37.79294260603735,42.234246823199875,44.137809424389985,43.59631255127167,47.86250948635351,50.27854176364868,52.875027536022614,55.98446296470927,59.51841445229031,60.28743440649443,59.22007722834154,56.56780621539676,52.63746309623348,50.966133368189745,47.22542847463545,47.87149826157328,46.93729971305196,49.55519222202275,48.53485068932449,51.31544394502028,55.503899872527676,53.895725099619305,52.72743926102932,51.462662995495876,52.816449000043065,52.57525149720497,58.101964229645134,55.154024457459855,56.33646927945477,60.775042316468856,60.45652748112047,61.62819770256305,60.438005616505265,64.55550183251702,64.31124667522494,60.276447794713434,64.50266715012361,67.21741520712625,67.66719102709537,68.91959466748526,63.39934398730597,66.94652457729057,69.1558290147836,65.7871945559188,64.92269679517807,69.40373757164869,70.93051312713862,66.55194977882819,66.97290741275604,64.5128869437838,66.34513105855508,64.37620582490088,60.61194391428225,57.68235572899144,54.42049108265216,51.61592371362497,48.829752259969545,47.973288699288645,49.68581693957682,51.71739632964481,55.78164742760571,54.81345791615072,60.91503723964156,60.324822293874114,62.56200400015194,61.82632862874692,63.28042106305572,60.785726495847044,60.361317247393345,57.54424128176867,58.224323741612686,55.541731862407396,54.41517915525583,56.75460808380946,56.74183543233739,56.97574838220909,59.12791027766915,56.81167591707532,59.19001589263952,55.3857648914364,52.843085883419185,48.2605749338904,47.69416328791662,43.603481315164984,46.10858594146262,43.22090093164965,43.08493877784257,46.788074082358534,44.94057026654594,48.35328449317514,45.59371961936766,48.82835632730413,43.854739786091876,45.168086988378555,44.37396804165049,39.83536539801675,39.9951857829059,35.81545794433918,38.14512610684225,35.20352737969089,37.02864973248553,37.978054819837894,38.54133793727472,42.05144919479346,43.13746353728295,47.105130659627775,45.15816007805158,42.12319334970819,39.097924858720695,37.017101734120565,34.885722391505944,32.36987505564453,34.344754603677266,31.697908356589203,36.09039674302339,37.828461437014006,42.722270936694976,41.28711626652543,44.86688529857801,47.15558692720526,48.183035856148166,45.14921029407174,42.318153429790485,38.808158509211886,39.4607597308759,39.17088676438103,42.08818400052656,44.249226517691184,48.91624717311525,47.806441314655764,45.41413172652117,48.36801515620741,46.58020036717983,43.54453929746488,42.136262928963454,40.963536343284545,37.46901738030618,37.36918406789895,35.73087513317469,38.77651043002762,36.08035635741645,38.76325203159141,41.01177315874585,40.62242604083513,41.25930846167177,43.35720384682136,42.99212650939568,44.12896657638194,47.508598246107304,46.48135991104824,50.76200069435936,50.72183595921909,48.90918377971718,50.18928909208526,52.03381015366764,48.56940695072282,45.97654747185792,45.64032370698582,44.865644846967996,47.77705547250808,49.14511275837233,49.93915102938075,49.90147785629924,48.84186493616266,53.156955169492505,53.877587745814694,53.913795366729914,53.861606777550385,48.430191004914775,52.43053052551226,54.93068615770932,52.897372595619004,56.76902036847749,56.26216088546065,60.58085373533826,58.70733298916508,59.11167684321346,59.23518122866054,56.394246649655564,54.33770918342543,51.20312428472918,50.29863367714969,48.74188748350217,43.99310036070564,43.907404849531225,39.8711806548037,38.934930215951944,39.044635882258916,37.66144240078212,35.14468270180071,33.9389104023961,34.635888289037815,31.209837520134997,28.356304002525153,29.826818805440475,30.288065130051685,25.13634730532525,24.27370383091755,25.064315271702593,22.92245725750797,19.74886236846868,20.67918412645339,22.634859768808788,25.22983796394808,27.861684480876676,29.52450323246703,30.868570679860834,36.10376764970575,37.20054206292421,41.052704825190474,42.86228613748378,43.15030839965263,46.482793473129576,45.82853422216346,49.9332682269132,47.48219444960244,43.032724062271036,46.93420122090213,49.62375255800085,45.4033631346693,44.78255625365586,48.952748469111164,47.74284974351846,43.40722594911026,45.20344012608887,40.74829043214321,44.285072200274854,46.06028593169995,43.501517495548285,45.83640984815496,46.51031926633418,45.44050194728632,42.15912482074652,41.101701122475006,41.743157353437546,38.63258875275077,35.95151282387746,35.93068282745552,33.92884565135704,30.927166929263766,33.384761474095725,32.35742807899648,27.900999259035967,28.577209701909354,31.633276164092678,31.966492401634003,36.0730969070277,37.50971592597073,40.69438945570012,37.11270302122164,33.671470819307146,38.634375279309296,38.36880105004385,34.938001512492065,36.43870491364307,41.19441466710016,38.1365946185768,34.75754550899058,39.167259740161036,41.8563491309905,38.64984426008472,35.933498252721876,31.60855373305881,33.88765465915926,29.764964997882842,27.78973946093965,24.81564077287825,26.069980272152385,22.922045706814412,22.594516455614425,26.12319264406388,28.934224455684603,31.482218498222178,32.3939877765658,31.4428661898401,35.35441004860757,33.02620535028538,29.931908630106037,33.74392562104497,33.33695712677294,33.70138937230828,30.54576765445994,27.82431290010609,28.56844945694208,28.42310728376506,23.766951269108343,23.61531299457059,25.260619624507758,26.159060613753887,27.75883419550933,29.760538661835536],[15.759554426606078,17.255566629026305,21.47711255357066,20.910597429765385,26.526585493450415,26.048964542112937,29.601385025496857,32.62878723326235,32.19771219198281,35.04319466221554,37.20124850127643,38.97724446401534,40.33028703025732,38.60015704586697,43.308223798933206,45.011575491548626,44.02211323626643,48.33095202243815,50.46743365521607,52.93216660709091,55.95659350832681,59.30755699692305,59.99551002882014,58.67251369520807,56.039518041589275,52.292263835023775,50.588849667647125,47.054152319251386,48.074878268177585,47.3804718056985,50.51628274038713,49.42234137318404,52.52356746858093,56.599102771351504,54.65270058881465,53.228696372433774,51.85365629964297,52.78119255185613,52.21314686532303,57.53376704222631,54.40371694357803,55.95263993619489,60.3410427031244,59.759792283775,60.675485702497696,59.22990596633565,63.31270698980734,63.383773690316545,59.26254163476083,63.22416630502771,66.23309223696326,66.70521138167469,68.20670085313503,62.77814608027632,66.51887149932851,68.69562911907691,65.38453993218747,64.77264537701232,69.31552040309063,70.62965077193628,66.38565480796224,67.15537005675249,64.93416819547744,66.64576613622535,64.41253830116115,60.75067456314163,57.97357493176585,54.92947945048801,52.150975369152945,49.68099054970695,48.73676284332501,50.645575887565386,52.76679801300859,56.576775251030185,55.694350620138344,61.89028594345162,60.95289484274388,63.40780965638841,62.38942314913638,63.535930019034,61.0198760503242,60.22803855492981,57.4982836486698,57.76180050965927,55.00582387971742,54.263890101462934,56.728815886083105,57.05803341700324,57.36681510143736,59.95580821710765,57.7324311654653,60.38338492121216,56.698990667397396,54.256952151342595,49.58274562891715,49.3528263943594,45.13554457717238,47.5212108298999,44.56530439408212,44.602395361522035,47.80687032335418,45.707731195878594,48.80710150237584,45.75575340960402,48.447307774320265,43.36220548851402,44.494662870668,43.27024481865564,38.71764658031238,39.365946809587335,35.21728237971723,37.613865381141736,35.05606417964111,36.56835167068214,37.953397713001564,38.159999722388505,41.83504568047454,42.547435335089254,46.90088608405757,45.32714565620962,42.25047426462641,39.30463842123479,36.72661540134461,34.61446386066152,32.20006187360298,33.53838275176241,30.99643701640603,35.11538041002461,36.650494032097136,41.610251421400214,39.58865415240552,43.20767591849731,45.39472887407648,46.876882105172314,43.58329885656775,41.02549393987389,37.061116443225146,37.94126375932056,37.74434975194066,40.926757562297,42.914494596704365,47.71667339302218,47.0078384203448,44.615134578264154,47.67324013981275,46.28967395688459,43.14470045777408,42.04564679015592,40.84656272877539,37.714433727972654,37.64496699871323,36.620923516772045,39.761976547774005,37.697564907319205,40.37626208805453,42.18413045942867,41.52493195262394,41.782339607933125,43.78972963104683,42.86306981699324,43.56305660542654,47.181390522371466,45.632483173533565,50.026307540804204,49.51918621538889,47.30558137674003,48.42527213024481,49.95874262642679,46.35234008348833,43.97112928125879,43.80420314994319,43.401523360004006,46.59162798988312,48.26191979715983,49.404478417072944,49.629223625303574,48.912942241968366,53.23732775163302,53.566973016204095,53.48531611226647,53.01037323423233,47.62872383176904,51.232750627245245,53.50449630844409,51.48769842192478,55.54836312586608,55.256860186193016,59.32445470565099,57.19252218870169,57.4511540658779,57.30758420531439,54.64298960582927,52.34089042643012,49.19515811911874,48.19887980145708,46.43851867253255,41.75222267711404,41.756820763809664,37.65797512012044,37.23363721161909,37.17946104678935,36.321398230496925,33.76248321205841,31.991301949979437,32.97478803390631,29.956038568972915,26.40546172675974,27.847172042673797,29.083304892266604,23.879731039313917,22.47099894951545,23.580712056532548,22.17084284556886,18.39710189925764,18.757732703054714,20.188440475461427,23.186853932106974,24.741527950065617,26.924208028168344,28.549949796713186,33.593638756143484,34.91733858124245,38.575920006985875,40.77364262641008,41.058707582040384,44.545096567366826,44.103347225585836,47.91303295297737,45.17858827381225,40.806726725951705,44.83019946138748,47.11693508827813,42.7312593529983,42.31775144289374,46.46084881016995,44.7980036068701,40.46535366685252,42.60613562523228,38.33186174379927,42.39429993210018,44.195718887557575,41.860401758361384,44.57335506975516,45.50248681734412,44.67990163651945,41.0499851349449,40.148405677163524,41.285369684104346,38.10557107380225,35.08746521498808,35.54136783052112,33.85757424025496,30.419271745985426,32.75125978552041,32.24146701617791,27.928755729330355,27.886416636127816,30.886657410961075,30.735167077064666,34.82157893714048,36.22301739601964,39.09056237180335,35.354016713432955,31.847217221352288,36.67598241898838,36.04992062483905,32.52509936398615,33.99323095074237,38.535883615097255,35.13802196829099,31.777289960269115,36.244300478012434,38.68957121318917,35.21139568950036,32.507024554328545,28.24957901470531,30.073797203901115,25.890722402700064,24.120739867151705,21.390560813405678,23.269556034155617,20.68700333231694,19.61457488346945,23.16130842257238,25.58753215967769,28.456058348733002,29.74591002852617,29.362573266623404,33.514442564484206,31.59458595789966,28.763539797809738,33.05568608273491,32.7815530280147,33.73770906232454,30.20940165850068,27.376057704527444,28.827391149183345,28.827527786353464,23.70529252023785,23.795162297559532,26.192100431801247,27.35841430859275,29.25124162187355,31.251449328681545],[15.247863022503646,16.014626257173173,19.722852924922822,18.66019148972433,24.169512314750207,24.417170684095016,27.838756933986232,31.20770484982922,30.882953699605235,33.42839848205798,35.827708412176655,37.825893787634946,38.69172330429471,36.934316995750144,41.80790550192652,43.41124734339657,42.08446034480119,46.36351652026321,48.262464611236496,50.68465512786453,53.6113836659452,56.86798042036345,57.472491471986245,56.00514046059539,53.41700940438,49.770065613267924,48.10416556074365,44.715630502627526,45.99432226286067,45.5285628067085,48.916302114951705,47.9034617167378,51.21063125060529,55.14231511937974,52.9928387933183,51.349789326026,50.00921623256727,50.588605041167504,49.833333336639086,55.078591186151655,51.77164332760118,53.47086760210597,57.83270688259726,57.134334139225814,57.89210014489917,56.358493147451064,60.415818711110106,60.64801312841568,56.54225704876837,60.40081486299867,63.54711085421294,64.09184752965285,65.68621851160623,60.3191027842928,64.1665551608361,66.26050879260328,62.941902500630974,62.50665924613089,67.07502967771393,68.21734241893391,64.01644379035338,64.97369505147151,62.90979413006062,64.48577540543917,62.11184698221388,58.54466511242523,55.80926114043452,52.935754544082315,50.13965126107252,47.902098026942575,46.87585203037172,48.893933578425994,51.08971391218924,54.71252959206107,53.937552861307935,60.184055623726415,59.05652442212594,61.68636567330045,60.51898529206797,61.487395625102245,59.044899645768986,58.060502927492564,55.48879662192855,55.52083981416585,52.653080190965895,52.11547842160723,54.556044909876654,55.155897096572915,55.39617535722943,58.29274308936342,56.073631757140504,58.869504045620054,55.29313129471546,52.97707191936104,48.25661505689603,48.25094494842464,43.958634866775064,46.36320171508068,43.44188510810615,43.77438136682855,46.53989274855255,44.472071043149846,47.236332487435725,44.17553474110139,46.557345685901645,41.45536442455213,42.66669763838867,41.20071453580615,36.67888581833942,37.56429335945368,33.34369677138561,35.54628804423729,33.122395915050674,34.311686691684315,35.831453675625475,35.76436077160236,39.48118302965027,39.93510806538419,44.45828995526449,43.14491837706515,40.03609568985814,37.18559496593792,34.3137366008442,32.28519879260114,30.03973822580902,31.081510967161666,28.863570128571425,32.77833616388935,34.3279215437056,39.32515591028932,37.06478984837915,40.81644896727928,42.7894754314801,44.49989256831861,40.94016313192386,38.43186226629365,34.279328414108384,35.087394719614835,34.831889634213674,38.15405446454021,39.94833367688295,44.791689170474065,44.29457288179776,41.9561271926056,45.09118384351861,43.96531105898083,40.7789856548879,39.943131495834244,38.849338411279696,35.97719383921328,36.121934411697225,35.481691084425755,38.85012522061001,37.270168146786695,39.74072380398985,41.210845411454116,40.2478498845582,40.36800527816317,42.147515195089845,40.98966003799669,41.29818979405476,44.94351067385556,43.054975330804595,47.52601510444518,46.80770743422864,44.338464316381994,45.49407536364802,46.85820201761547,43.255782727480714,40.89045482724349,40.87156333678253,40.57809179354557,43.96683916925562,45.82132646864805,47.15472873639193,47.61569017060152,47.00792514933874,51.42536116548678,51.45475179783541,51.40052581306493,50.62760175759076,45.39052379789921,48.81014666102143,50.94176235588643,48.84784864137893,52.890185440787704,52.61530997563352,56.573953332837476,54.25787834769175,54.550649085170704,54.33039898502905,51.79172901522794,49.45399218800916,46.362691147977976,45.426209350766385,43.692033620500474,39.00812766671836,39.23756044356597,35.224248245472175,35.05009714575755,35.21620580241314,34.629239483532686,31.857756568693453,29.98694979895165,31.391451068967992,28.459318171151548,24.386377414727153,26.217672929205303,28.06152751112835,22.586290844156668,21.099969590318096,22.757100867149155,21.563221985993987,17.341448931013243,17.945742491890357,18.777357746446754,22.529872614041683,23.075989251596045,25.41144171892977,27.498952847600666,32.42085395650833,34.20274806770469,37.51412022721612,39.769803742312945,39.78693797428542,43.24759311373594,42.67587591400092,46.33636796992039,43.597018404458446,39.02575540431959,42.983430326534766,45.148927919777826,40.647675777600206,40.13491549903034,44.174307002916436,42.39219728750332,38.02412264488367,40.02205768438506,36.001824796162886,40.23583022728601,42.22415997666095,40.21205940871237,43.08700911954875,44.37111719899185,43.453456332664054,39.592862919755234,39.111135994898255,40.438631871663006,37.00977932630347,34.01469693539485,34.94081144504716,33.36500662156006,29.692931507092485,32.282327841173675,32.14771271620261,27.826802159154678,27.60480104095116,30.756685162853074,30.200647244314993,34.1574520770517,35.23928519425345,38.0391643135975,34.470601392091005,30.603457016025835,35.240660053793036,34.65409089633431,31.056106773046363,32.12493835483806,36.7599762136771,33.36293281616194,29.69551416565138,34.00021579714842,36.59934799081589,33.0626136540198,30.143999528369633,25.776403967806157,27.571815572750626,23.189836637631455,21.961335364434913,18.89607477191764,21.091343720125888,18.581226075447976,16.90784755318376,20.403585943344286,22.70347526205931,25.618881832412242,27.282936997722018,26.876707849754688,31.15342512119167,29.236375685056984,26.807865020989716,31.461411394275395,31.515878253739164,32.63326608213138,28.743416509868243,26.200567272284445,28.118368063753373,27.772565704627418,22.535765760614552,23.237907628863613,26.035705939280792,27.12827765647854,29.09170229038864,30.994272933885895],[17.28442686779156,17.473605187549442,20.585810864332398,19.040445255534603,24.311906233010916,25.32761472922581,28.543102942903495,32.215445744404974,31.908279609664543,34.09176123315373,36.65670914759854,38.90524027824878,39.31544423176794,37.43454681504649,42.44283463829396,44.00289586079368,42.32423988125103,46.51083294820435,48.07486915564701,50.52724615548955,53.27930294070478,56.462280270014574,56.90094492746044,55.24460531766129,52.78515283642935,49.242746829629674,47.709247177832154,44.51390777604466,46.09577382785587,45.918255411735316,49.45265240171606,48.61957742888508,52.08778256365835,55.85071330798045,53.544532532895104,51.65963191806993,50.42642798696621,50.60210610715147,49.647564538854,54.82320556385847,51.262150765100955,53.0891244357858,57.421348731304555,56.60846960746488,57.14275247544966,55.52639656383397,59.531815098875185,59.98549614649761,55.945772273134345,59.66681686458384,62.986454171134824,63.641740017039865,65.33584284892926,60.05552853063921,64.02097992360528,65.98737370115373,62.64287214656222,62.425272351691156,67.01092424829042,67.92835042586182,63.749703460058065,64.88358707638992,62.98708978394167,64.34783064319534,61.856549046058895,58.42999921231267,55.64893084101069,52.99514568638101,50.093042517590135,48.11457148709156,46.936635815362315,48.96648301285258,51.327279403164,54.772392710135,54.20622522600854,60.49093961611709,59.24877935375231,62.07806528398069,60.80687681949117,61.61482648943743,59.30383708189414,58.13868488582927,55.77549647729293,55.56023392525161,52.55415709829914,52.237467660485514,54.59590086516684,55.50414508674349,55.59839954698523,58.80066272737216,56.531200010807915,59.40402610029911,55.942110069395845,53.787401936180466,49.04488843985091,49.191790684359184,44.853244267899726,47.37465503182571,44.53738703909984,45.17361800137627,47.554499340215465,45.57547267445653,48.00508851455001,44.97475418598374,47.03521929850109,41.93975981241346,43.205301752367276,41.47211019516577,37.011737116694526,38.16909409983908,33.919058016289235,35.8955436439555,33.61189463610654,34.406892970160435,35.98660904884257,35.571399676094174,39.271595057590474,39.35886064453639,43.9883254006299,43.02484732596773,39.84803742284245,37.170140551518514,33.98830858272035,32.162349419812664,30.205437812155413,30.964846288574822,29.201587813721943,32.839216600705804,34.38720282814356,39.39093821240814,36.8145223154716,40.682038878815106,42.39953159096297,44.414633473536355,40.542231712909064,38.12373040181364,33.73023398319663,34.42022139669286,34.02995085943252,37.54558216924644,38.965847147550065,43.82816193791686,43.62407496350449,41.42095223477943,44.66695319223305,43.86087626922936,40.650224479798645,40.14947748456095,39.21835601194978,36.62680254123655,37.01719871017891,36.70810405380728,40.2702654771654,39.06145772248206,41.3303890896305,42.537463519049865,41.29716523475742,41.329720450413035,42.85139056141189,41.50395489639868,41.36815782476025,44.99340415121594,42.69703533600125,47.256094946711336,46.284973480534916,43.44374529736126,44.66802035427252,45.75096565326458,42.159579603741726,39.84026720600769,40.063659836617546,39.92988843387618,43.583876889418924,45.666122428181225,47.21767174236772,47.94881588363975,47.43284229575012,51.950587527764846,51.656461046513456,51.64541819157674,50.5290726126059,45.487514222086546,48.663000942711314,50.60399812568951,48.42510940157514,52.428339751412196,52.1584277468419,55.96700345219421,53.37857447564258,53.735555658276766,53.391192427107576,51.052731342033184,48.65395898483807,45.64441867484858,44.7665240221007,43.01920781428904,38.384335562268426,38.86699519557129,34.949920105178,35.1481651995291,35.44114747081148,35.21721133938067,32.30561648473818,30.22126658212995,31.997326305181527,29.292412677462725,24.71021779143688,26.766524757304047,29.205360727624498,23.671250080370143,22.002105918843334,24.01825988917234,23.195868192601722,18.706959150119303,19.196946243470542,19.457082184854645,23.624293320694317,23.087715250371946,25.757941888576248,28.169252883495663,32.84727466958133,34.88902604351281,37.932892837894855,40.40315599868273,40.294847802845574,43.780525769237286,43.23052182153102,46.65721634889089,43.80852491982301,39.19653440187109,43.12881848731123,45.02311157351784,40.402239712052825,39.92059678567862,43.83867645910905,41.76736327845092,37.409810152325804,39.42821049286702,35.73465538430249,40.25261341002645,42.377986853634745,40.682754093915385,43.76081622758178,45.33026346280647,44.429701643799426,40.357686374724025,40.183341430171026,41.742933540157324,38.1764463207919,35.14531544671176,36.448910092136686,35.02222117614986,31.169579380324617,33.817742273571305,33.99831654004649,29.767527744098448,29.274189202970327,32.4164540946458,31.53128085451266,35.36879538236316,36.27199278450116,38.886667030529566,35.37134905246496,31.358264975460237,35.77131091143545,35.04754737544448,31.416358624264294,32.222812197853706,36.75028621201077,33.19923440863763,29.41459634918405,33.58283085690075,36.114356323671224,32.399061936310595,29.385406345994376,25.051773762961513,26.451113858455734,21.930577319229332,21.31338084362529,18.279950459468836,21.027101268156546,18.903362007021943,16.43643779120735,19.772379378246335,21.6766767249727,24.75974355394763,26.923101458299765,26.701394627764014,31.0994622190754,29.285097984488292,27.326479788560736,32.298174769097166,32.62335446785203,33.929836752171035,29.760516710343392,27.465565152326544,29.766087368137132,29.17724739605249,23.912436012793904,25.045893746187243,28.113785052905936,29.153494073700458,31.14248804989161,32.9401313888459],[19.32288519907225,18.861131675660662,21.162358261505243,19.583183892384124,24.319693696531107,26.369467966874474,29.45180736488329,33.366254152623156,33.360743933875746,35.26095892645832,38.07995452721812,40.4450969551001,40.34098710816795,38.56157687916917,43.6780270473277,45.054715503587936,43.01648673148534,47.147016858362086,48.42092015430004,50.73777744830218,53.36092982444576,56.35118395718087,56.69754804728722,54.823838902750474,52.42815405168951,49.096907337807984,47.57940058618691,44.631371193309896,46.52745948778104,46.58474699466518,50.47373402853926,49.62867289241774,53.30847339578029,56.91682091700582,54.36386999911689,52.27077244625614,50.99222667263726,50.769592741209635,49.53905498285459,54.47936988965779,50.76926969868762,52.88281894955261,57.12294696334833,56.095376438975805,56.38438660333237,54.568001965447564,58.50215083737671,59.23792482959012,55.181119367488684,58.63725914260799,62.190309730983785,62.88263586787304,64.77056351913258,59.621947432847485,63.720461001571714,65.61621203069824,62.34213990662616,62.36218226161416,66.95793827797961,67.6648255914121,63.626445855482636,65.0473971526778,63.37574934993418,64.60031206185882,61.90865756688189,58.61486285495231,55.978216006258776,53.55730905979611,50.70219602047517,49.03239819765331,47.78857204961915,49.94383169133659,52.35357872170849,55.536522416514345,55.06787430239187,61.35956639546873,59.848782874120246,62.84642046331662,61.35759911943658,61.89868853687579,59.61909724493273,58.1581416499323,55.93043944198533,55.355440411031005,52.295363866179045,52.318606394118035,54.72523102799165,55.93853714482878,56.059622789910485,59.60561824172776,57.42107007640555,60.479370288826416,57.158662485007945,55.12601751478881,50.37530274526843,50.78493720354407,46.414424237308246,48.827857807950686,46.00093930902197,46.80178284752948,48.72954044725596,46.62831705449748,48.72618505932761,45.54840576133363,47.112981927265025,42.02533469791451,43.162261007041174,41.07507288229944,36.71542603879676,38.275492081181774,34.14094366648523,36.04619444607145,34.13918429550741,34.58521387867464,36.46553235401092,35.717607762195584,39.45664070593245,39.18013686981701,44.049285745579475,43.451466530948,40.298852128263924,37.77065310875118,34.232403063446995,32.512364575660264,30.75765025130529,30.931667840000078,29.43291402719864,32.66381095953894,34.0187636477127,38.958866220511894,35.9037318721636,39.76803893497394,41.29512713248559,43.708366462031144,39.6091377134942,37.46967618624457,32.75214347553595,33.57549404484655,33.23976602888414,36.931545631613986,38.100768270304776,42.992016686172384,43.173587507310316,41.03505229544515,44.32853103156802,43.9145612048918,40.6753874874198,40.49029190404457,39.595374219630976,37.391101333726816,37.851929193006896,38.04350564711588,41.63743150665038,40.94455828487256,43.12416013528165,43.96407212140329,42.504373053296085,42.256674126022375,43.626591724191,41.86169223697611,41.298550040231255,45.032138326569566,42.28540585042919,46.87843064532688,45.50366280251612,42.29780049375944,43.396148474360466,44.14620446380906,40.49110106158635,38.38708702286613,38.80974187474398,39.01489982638806,42.89116969193245,45.228242353722294,47.07058094051635,48.05045061707201,47.81097852732871,52.29739784200853,51.64663113155523,51.56308628929414,50.063743514747074,45.181315925076724,47.955010047616504,49.65029279349193,47.48444866173176,51.57022488643804,51.46755601638601,55.0099642910086,52.18622975456279,52.44358221625306,51.86696871126953,49.74167458699488,47.16542683717867,44.20754282182329,43.291266631825934,41.41389492683292,36.90999398764173,37.54898283034226,33.70256474367817,34.40526690230166,34.63904249521495,34.91702057587983,31.993660855249644,29.502793147686283,31.59005970030472,29.32449180300415,24.234413045947477,26.30664278797671,29.4232226685924,24.056762108795468,22.062352307505606,24.362341197585433,24.162084086131145,19.4959600861054,19.597278677037043,19.179416446347844,23.62746643666968,21.806558166849488,24.871740688322312,27.57178549489069,31.87277901725413,34.17166500992783,36.87767303849952,39.62251619018345,39.42910010234904,42.95604481845601,42.53759374661154,45.633825023328946,42.60648916912625,38.07900254889075,42.009141308287866,43.50655930912914,38.78552133288326,38.449649029050384,42.241594590807324,39.77251003436321,35.47820197307044,37.69902717426637,34.33937030885586,39.24854378710543,41.41817655907596,40.035048610961425,43.38502474256258,45.21470029629754,44.478532675240764,40.171998522458644,40.235385137171775,42.15722353084199,38.55725524352042,35.38038830607097,37.0989311029683,35.946916041181424,31.874295921344743,34.41479600247538,35.01912586277457,31.020706463300048,30.046528056509626,33.070859210018384,31.777434954732023,35.43807815189504,36.19830978194699,38.49274991312913,35.004098323749666,30.959267004890425,35.065896660174644,34.08819794361644,30.46781921215014,31.074225072319955,35.33338213647872,31.574955400771834,27.800612452589775,31.830637389080273,34.14665875861696,30.23497833364093,27.217716874631,23.0478059839807,23.89262688620196,19.340245056925465,19.318791970803588,16.578105491907372,19.95392886796079,18.567776006350808,15.288668809178498,18.31730229818855,19.608581907124822,22.91712118066964,25.542541527291,25.822925608236524,30.300859404011767,28.879543722796846,27.35566085956644,32.59557514669471,33.098254068279736,34.806899468205046,30.434850511620652,28.243694579522973,31.022410162846384,30.466315934243955,25.133275807032344,26.498978886421078,29.947661629824513,31.083018469246458,33.18974131108971,34.90558132236617],[16.795180840370303,15.600868427118673,17.18666438622202,15.206845634969735,19.665829336007985,22.210344215720635,25.14301015938451,29.195461278199048,29.41431696300689,31.163029566314723,34.17347585015503,36.53749441579806,36.10916454388057,34.536509739592894,39.679870064312745,40.87036823177484,38.7078244048829,42.86972034923907,44.179207880078614,46.311544158082405,49.004335780427915,51.885188832840456,52.3452533175252,50.497490134852185,47.97731906566419,44.717747502774536,43.0549606876224,40.135883229687785,42.071853278802145,42.14713688166439,46.29812191413713,45.33041345069467,49.13312733133061,52.67336433057513,49.973329119709135,47.837244307316844,46.46236171179959,46.158065050330116,44.86084894146093,49.71629274311127,46.07732207487225,48.2947863103217,52.50017207556814,51.4187947939071,51.75093459957023,49.89517472767412,53.851049853275335,54.54550133560501,50.42539897895003,53.888629717510554,57.42316317366427,58.08236824573905,59.98321910801477,54.84156973734043,58.9412750697806,60.86408497981055,57.64007512143124,57.6664713861617,62.26150457111801,62.98466644218843,59.021089178224365,60.53626276362076,58.927685213359645,60.229317989797515,57.44882000584678,54.13705451810701,51.70677234116006,49.30176619509176,46.634000909259754,45.05894898866546,43.923095559537586,46.28640609819739,48.523991511358716,51.56098670268314,50.96075375134838,57.23439482408984,55.511010408659054,58.51737633001581,56.892309081257046,57.316135709427925,54.987958458854294,53.431358043019074,51.21458360991243,50.55990884283214,47.50710665036756,47.60433496422311,50.076437502583744,51.34645058029832,51.5695370343972,55.22887456724398,53.16614430427396,56.381369962579946,53.132490153847,51.11862927466886,46.37405896084099,47.00988820909204,42.63558363881458,44.8354540494243,41.993942504717566,42.90743051480525,44.49281684504818,42.35509489675601,44.23953767656514,41.05175825429863,42.45429751013059,37.39693890287756,38.62730164959755,36.485202706977624,32.169609557398225,33.777078561666876,29.614999221304288,31.376580264762406,29.60013752101304,29.923677278177625,31.992848557868257,31.20346665774066,35.013490156511814,34.77334096351122,39.81316609585147,39.20597562668381,36.15719614295185,33.59683736410793,29.961081861710603,28.12352283703386,26.335149374814335,26.222578799347225,24.811725856250654,27.90849445171003,29.284459323889074,34.21945878976624,31.200846124260394,35.155588985794324,36.58724445865211,38.96777059049624,34.81086552767994,32.63942250091194,27.942206948606724,28.768704901768405,28.5318057574759,32.19552375829671,33.558025212376315,38.47765425816972,38.63812674981599,36.40360893537651,39.650733775062726,39.28327408165009,36.03125146011638,35.88946370224366,34.977292215438695,32.95466821144524,33.486921417261236,33.98548443543654,37.65770037185512,37.40935164979836,39.41172799407955,39.94136010375456,38.31127536159643,37.91457088127011,39.175679462261506,37.24414971106893,36.53938366048637,40.31695112680981,37.518795088992384,42.09631484941369,40.69079931995481,37.56399511608432,38.63339737943181,39.49769654341461,35.849843118022896,33.68652793215674,34.03475334706715,34.20687797912208,38.059556660006606,40.40671898510616,42.28855653939192,43.33262411539134,43.176716028479326,47.65121604001815,46.89089794622188,46.80369783434791,45.239710058887276,40.40274363739946,43.16515646341881,44.86698366101405,42.672066567191614,46.74685177594491,46.66248738232371,50.21158980054537,47.46505659332515,47.69601621876416,47.18062844636342,44.99103983681859,42.47705528199926,39.52197859158342,38.672065338684014,36.92667848311076,32.34967085621977,33.11097674617575,29.378118536080454,30.0025784546548,30.604449115976024,30.865888473322208,27.727948228468758,25.487702205022128,27.922607617462347,25.525597563600126,20.239442516884154,22.87441738689341,26.2642447596237,20.655837512784075,18.97335200702258,21.819871098992934,21.472063623522704,16.716035396727996,17.605641409209888,16.704540486097553,21.887376346058733,19.66673035547484,22.271168975009598,25.40297091439037,29.693488169059535,32.54101251146178,34.84290243706783,37.21017664691513,36.586238582008,39.91430162837093,39.10705025867778,42.25289615032512,39.504525320801484,34.60516009197627,38.328492748795384,40.05789651910581,35.34645135709657,34.65911374468647,38.360034123806535,36.21783789927065,31.851552609395107,33.56255229689358,30.30423209958962,35.002594053949174,37.37462672905547,36.23259177657646,39.516673626795445,41.63929314054191,40.625039876812295,36.25055979169869,36.77501840104928,38.64278539465048,34.78258690851581,31.85182081901018,33.929934006887244,32.775930685889186,28.671544410476468,31.619656838494915,32.453306624419184,28.440890413617726,27.64327292429188,30.897683498811205,29.357572064664797,32.79181909535201,33.08317346359635,35.52638408892972,32.46676758573856,27.938034095003907,31.849732274293185,31.30249419767497,27.681399439947022,27.695023742645517,32.329352423118586,29.00660227357017,24.716990663588795,28.437879447956178,31.304040849973894,27.70921015946251,24.33991379682265,19.883145571723873,21.478611845608533,16.73603525073834,17.238723045203493,13.503035949469831,16.53746593141167,14.775581157910699,11.27530032971473,14.187088851304862,15.805454101836348,18.806752450773313,21.518982069617454,21.322951744428277,25.794630624659803,24.200840978393515,22.98492926811891,28.368764558953888,29.18952635541711,30.866895365475855,26.28334520318762,24.502626463075536,27.55234888156711,26.631792355824086,21.428620818263408,23.396574729950487,27.01967993821992,28.00751376275996,30.112735730301686,31.7025485687575],[20.48395261859252,19.086467207805022,20.187467651840382,17.410507766825546,21.395087987256417,24.467634575073053,26.925507034698168,31.22161238187744,31.185070288516716,32.36929088042589,35.41225484615299,38.13384290969245,37.21837535827045,35.32935217936114,40.54484796972174,41.78127668515277,39.21533648717079,43.142297111652006,43.940467627249134,46.224342081816566,48.60227233643703,51.45102942612838,51.61421135389242,49.543024606106016,47.29085547209681,44.12940062964937,42.77885724641926,40.13390630656162,42.436958298293,42.93911630788501,47.022568290700356,46.467541452640106,50.36795009336726,53.63981436369562,50.85712831904329,48.40925488299305,47.33267528816735,46.49466651192838,45.01549964135292,49.857750429084895,45.8174343063408,48.04246171697053,52.21049677151238,51.0759609189817,51.11458523852819,49.26834925793582,53.12636834602705,54.067610193308035,50.15943468256139,53.51076800056496,57.19465026501776,58.06891490805728,60.001105567751615,54.98635877788199,59.191204222026585,60.871868000979624,57.55376312679549,57.854524082897804,62.43855561144441,62.84292222936189,58.838943835623226,60.48000286271014,59.057124979966794,59.99533604694856,57.15375430256523,54.0701959863826,51.44188027375859,49.34874556821606,46.44817366440431,45.19597724770459,43.809540776478194,46.058980372740436,48.5755150801453,51.41206440367418,51.184337104083916,57.46154882275254,55.74130580035764,59.00342869204611,57.360287344414715,57.66407063885726,55.62314075178772,53.95240066956245,52.10550683107186,51.23675524766737,47.957961712819774,48.2433230614819,50.451526280075484,52.11549578505363,51.9883346610674,55.967460433689354,53.74461427628657,56.92791639245498,53.835656249602,52.08106728296562,47.36271223084083,48.07929220421204,43.70471900923516,46.20756227919625,43.58098746619239,44.95881917738441,46.1302658554655,44.33275250704753,45.77512180797784,42.854020876181735,43.99071823307742,39.05210780378721,40.499907683513655,38.15179142001609,34.0067495561396,35.7844805852253,31.583055173672765,32.83600502174562,31.077420713609758,30.820155183399436,32.678134014259285,31.416674600432447,35.047652994053074,34.282701807325815,39.25907703318751,39.138272926480425,35.983512920531815,33.74368077468666,29.822650370038524,28.424912821747817,27.191069273803294,26.97055026413771,26.444079561635085,29.146243179999445,30.65532803989936,35.502201239689775,32.296245935983194,36.416535463441434,37.3800379102395,40.041483247915,35.4575973135162,33.29054888740912,28.477446240033615,28.838634133710023,28.216330654077442,32.08818528914018,32.73002595247042,37.57502276991219,38.083706794667165,36.15567738542703,39.55399600549538,39.57820639571568,36.36967048230484,36.70753721068576,36.15321126093099,34.44794495567822,35.43280312157998,36.14219824187348,40.094064488301996,40.107446616152146,41.75686543736331,42.08269556360516,40.111056359082696,39.80016330653786,40.61731017449553,38.70701804961428,37.41458245562266,40.95847452266195,37.69089109477178,42.35093398532713,40.753341328901676,37.12786045054757,38.46952264460794,38.943647704766654,35.45333523713892,33.24080226791865,33.999153412815616,34.23419910253577,38.42726251188266,41.020801577237165,43.0963266408404,44.50160081179603,44.29343482334812,48.94373853987141,47.806660196605385,47.886824212595116,45.92576936184715,41.47952955132978,44.00739366258508,45.46849377869767,43.09463524833939,46.9306628181594,46.7001388277726,50.10157781329224,46.960525399844876,47.438361380433534,46.85363227206655,44.97429399311999,42.52359820480848,39.771678324261515,39.1242127204792,37.51826940341233,33.05118216504404,34.266796139343704,30.830077821022247,31.816087806029657,32.75603875536635,33.33299342681351,30.0161297707893,27.801945305651582,30.65199827463195,28.426155400622225,22.846511428318806,25.78669836613272,29.58744927421781,24.006031032574022,22.383890808495014,25.455914897277086,25.234372741381062,20.488808783353303,21.422570434951183,20.172513941397384,25.489435173631104,22.409411794157652,25.190789392634997,28.559226763222973,32.5122286777904,35.57360500632807,37.55842076894904,40.059670476319354,39.25992470985452,42.52165704313165,41.649593627987,44.530563639063864,41.771776243158264,36.818926867713785,40.38359524056024,41.840925129599036,37.066524348656145,36.31820031975921,39.757537013915446,37.37416420139074,33.091423455591524,34.57729079135743,31.896492447821746,36.72121193366418,39.308637680918295,38.61328462861953,41.9996352708392,44.44469544669146,43.328182316990954,38.82785434024108,39.76821226278326,41.72739839348208,37.71013460783119,34.92875968428805,37.31255071286624,36.22086712610797,32.09666931503263,35.161054249609585,36.17204720446629,32.21429478985583,31.38552824937814,34.62714922669611,32.891683116618324,36.15420220638539,36.21143751486597,38.50264957109192,35.61642622467493,30.976725783571194,34.555631108095135,33.97451142928143,30.409165061513722,30.022844624706124,34.5019581332121,31.15468930122281,26.766779283457375,30.112627200013776,32.93839080793581,29.248535895344624,25.78949362988139,21.525898128745865,22.57096709620154,17.828540047424433,19.329014581486977,15.795888326828198,19.180049305561756,17.779431451168826,13.722331139307379,16.047990821177812,17.02658325198165,19.963596404054993,23.308987723517088,23.060215577744557,27.48401898632281,25.820866864470805,25.340181801825533,30.889525711406165,32.07908771780315,33.69291281562469,28.911806461635095,27.619986564522716,30.827653664627412,29.439259441605106,24.500438784477637,26.937270103869768,30.544381929458762,31.320705264275237,33.30141506613432,34.7363421601618],[21.6373570107191,19.560447934029554,19.533705527462487,16.463142248895974,19.39892757808284,23.496484433400344,25.53860196215479,29.982733765592624,30.24990164602149,31.010237373559427,34.28340586155242,37.07235228901912,35.5340686471433,33.85390405701061,39.0656526187214,40.0341293701408,37.11468588564327,40.93274158464251,41.47435526824889,43.52244487190671,45.79604550133191,48.40540804569119,48.54757626878516,46.32705937924654,44.07813417000145,41.16005044642161,39.7703048191568,37.39662849714848,39.97824529615085,40.71492967392729,45.160754856183765,44.57858774816975,48.6710307577909,51.7220201347897,48.68970917373784,46.05090029125079,44.93346351516129,43.689894046019134,41.95620412742787,46.536478755182806,42.406389559753535,44.891550897418234,48.93811274571621,47.62248556098594,47.48216429423275,45.47899024207457,49.279635206992204,50.41315070088792,46.494788628775055,49.64610455058627,53.48298119063346,54.392502376003236,56.45604381117522,51.57246369716163,55.85656487568676,57.46299882758842,54.22950906745586,54.731863515794466,59.29485327184191,59.524839135309854,55.6791928605034,57.58673208997733,56.391011747582866,57.24221801736932,54.209578135886915,51.25256822247794,48.865443496099964,47.002124671875336,44.27234359828119,43.35478926507544,41.99003814363063,44.43349696348889,46.861265358404125,49.36483525969592,49.152761324740695,55.367489041289865,53.33082211386943,56.720017144447965,54.84663855361589,54.872161148774126,52.87469777616076,50.93442356372043,49.262809009060426,48.07077048539802,44.7452751448492,45.34146269033787,47.564614068836924,49.52189042769086,49.43234575311783,53.73244894388363,51.648598710538145,55.033157090081126,52.13240967801442,50.52127898959832,45.85925556159399,46.90510976184708,42.56894413758241,44.858840399843494,42.300052760501345,43.9093257559011,44.477142507220165,42.66427451907347,43.64445096099847,40.71719576412779,41.355541725848234,36.540060666043935,38.00801975287838,35.39240543923106,31.464984847488765,33.52896621199903,29.472240198800197,30.4130597771898,29.053008305449744,28.34090515052703,30.46691102956171,28.87470681333186,32.48250904399827,31.4025960485738,36.605821277145786,36.81319865654016,33.792317272631564,31.7281279423931,27.51901828361825,26.227287825280815,25.265279315158317,24.37833222044783,24.353115391816402,26.477058540902075,27.869897495654826,32.5480239562447,29.06791654287629,33.23755942540193,33.863373289163825,36.7927323508545,31.963196768414125,29.98957077369006,25.016505345050753,25.34569686563808,24.76510313073966,28.729779687427044,29.181277939986852,34.01076091289271,34.84107749768833,32.96193430502278,36.34532272513339,36.75157695352832,33.56847151992491,34.244934164647766,33.784418459230764,32.57221153548265,33.72349464312898,34.9870955323522,38.981526738330025,39.64447846018228,41.03195668385103,40.884321719905365,38.63338180668002,38.06247938567313,38.605070398098164,36.340204102168684,34.55315106480568,38.10609051531146,34.4358276047384,39.07435753652888,37.15447458519819,33.25820062017356,34.542383744418835,34.7890743618584,31.317054022523994,29.207223207212344,30.143247551871,30.601224306849833,34.962933035013485,37.761910483068995,40.07846039805977,41.75200569970188,41.77517726063794,46.37857248155751,44.87171696859808,44.937440300659865,42.61763807126213,38.438500539368185,40.62046671206873,41.862663854718704,39.45100069212677,43.25159488409566,43.11786439386459,46.30163147073952,42.99848394418999,43.43800298014183,42.739011360563445,41.02431909601888,38.537920387599,35.890154644790954,35.3323098242924,33.80859553451535,29.44841623323611,30.98360903539488,27.83972577844604,29.157101058540846,30.429574442861384,31.355095528554468,27.912064375769226,25.73806386907848,29.055805383954404,27.10068188395872,21.262420498366904,24.58303486643736,28.88987535555511,23.489391196583263,22.033485930379857,25.5002314533237,25.519276050884724,20.928694533292003,22.12689865112456,20.256214142552313,25.899498578045286,21.885200972866414,24.41776918185511,28.15586026363277,31.69839962410027,35.247190395845514,36.65389189941918,38.996771589336475,37.80647042947308,40.86560389976876,39.77005930795687,42.40046621232577,39.799641012808365,34.67974172850123,37.97561561537237,39.30324399286071,34.53977028106554,33.586006226727065,36.75219708769439,34.374504584237165,30.16783754064221,31.247489224551416,29.077333534408332,33.90349972327467,36.69203224573157,36.48950083934186,39.94253719655329,42.78576570629382,41.547494763995154,36.91670107271573,38.40849891729008,40.504555983067426,36.328082894910885,33.74800624305945,36.616495416894686,35.705724365483015,31.557708374598032,34.78579618905366,36.17342668996177,32.43923284085466,31.513807583269383,34.75468636471115,32.66278343521252,35.55328402413708,35.147003137020576,37.2923046559255,34.8390699431599,29.93831060478159,33.02016789795208,32.637318509881325,29.198080865325487,28.14767128247223,32.609066756679525,29.577601563206215,24.903572293427683,27.690015638813335,30.765346996886986,27.300868302185812,23.63391676098255,19.483960766240305,20.61753811368584,15.987098109220291,18.505951364515507,14.73101975664084,17.982768154805086,16.95835668160491,12.530520979535883,13.987062308000553,14.484625456029987,17.05691936720172,20.85615114112572,20.50811365482374,24.788509235066314,23.277116933316602,23.5595453437039,29.212009393757466,30.79217002468228,32.54665382149783,27.608796252950953,26.840738328960487,30.407527858218888,28.73586958189456,24.13203097588563,27.07017849323181,30.841855308183725,31.50750879621403,33.465816444653406,34.70675494567315],[21.629680211546223,19.66812137485165,19.802797568475054,15.512137429385515,18.6215396105901,22.060336368771846,23.595611874676436,28.127709051688704,27.73873833435859,28.068614001435417,31.16211255850893,34.28290614843378,32.65512049762231,30.496536239075816,35.72072582751629,36.92556797834726,33.923983433709665,37.58508148582362,37.948335144938284,40.33246777946604,42.47065954835817,45.3193788840357,45.2973264318367,43.14916227161557,41.050020518403336,37.91073608056123,36.80761005628388,34.36531003114766,36.96849634944804,37.91132779348233,41.90802847268936,41.806069713310926,45.80262892818586,48.72163172856128,45.85830166724382,43.09652986351557,42.37753544118984,41.02559491712282,39.46272689807361,44.41257145674429,40.026039401938895,42.10157845262155,46.26977689689803,45.20457323917372,45.12574446814867,43.45457035618095,47.286210375919275,48.231831550159235,44.56662553227802,48.050245010735495,51.67923949914727,52.78489973854251,54.57371664284322,49.61485639901933,53.83778676425637,55.2723512136162,51.81606857958464,52.284485487485036,56.83972211241839,57.01375753649462,52.90822773640242,54.574474826510794,53.28353584893089,53.939240887479905,51.07963201656382,48.1679338299588,45.39060160426393,43.55196059559225,40.52787757320655,39.597558711159486,38.05626714309707,40.316916787454474,42.9497720021904,45.534213205093806,45.56974622586266,51.816275845151075,50.06178873471333,53.543180538734106,51.89630084788779,52.126416219788155,50.40824278123388,48.7384517278114,47.32048233910656,46.39660002845937,42.85621605685018,43.17035832544973,45.021652093573465,47.04010664266727,46.5107599095082,50.775314700957416,48.41175866186991,51.58646150199523,48.69653883112568,47.237473514266085,42.59371774639209,43.50158283084737,39.177791625437386,41.908030176977775,39.58894418287184,41.63555288306848,42.14021507940343,40.922511461516315,41.726263325762574,39.35564303678951,40.36544380139224,35.68334182767065,37.69988142194169,35.37614678131534,31.504219893285022,33.14571932679427,28.81064893478344,29.128835509047665,27.219528382461366,26.220903191990267,27.67837685367323,25.94600446952468,29.344659285639953,28.183086492172336,33.06905457944705,33.31482674243685,30.125571539111743,28.19502921239439,24.040801894413512,23.087245113235383,22.53068463948717,22.338460941978624,23.1339124114817,25.380773978363024,27.322326875271067,32.01385274047451,29.166458193959787,33.59315883863382,33.91849215198404,36.480891431349654,31.46817609185391,28.95805557649834,24.44407287619327,23.866956758142088,22.67655318493258,26.614531021571953,26.663667742523614,31.418710525501012,32.00471297506805,30.34561241110063,33.86406920000832,34.14250580026654,31.02156137796158,31.84617003404109,31.795484832780147,30.472696895361345,32.167615054908445,33.134294684849834,37.51334130406896,38.04077861630033,38.998281639140565,38.93176788827415,36.44856553655282,36.32807830532122,36.46434227478523,34.788914222529236,32.847528278738636,35.95479061396976,32.378887836141935,37.0997612262037,35.61988249532339,31.761625074169377,33.63699617529779,34.067787163843995,30.941134743643783,28.310220425321248,29.364094216243263,29.231738377207687,33.6470670079755,36.33774912500532,38.441651299151275,40.21622405810659,39.76341105924643,44.66804872736054,43.18553582739611,43.589753689484155,41.35660579161295,37.42061535788108,39.99463342952208,41.364680092373334,38.681402431953416,42.02598777822876,41.41777818092703,44.89348854504673,41.53948918686568,42.46569900808816,42.133737815450644,40.395297225029914,38.34872935177311,35.872808498445224,35.67656338725735,34.63735118103055,30.164514434949012,32.022018957825615,29.173555511147995,30.00225031913262,31.943377215354758,32.414703417980604,28.66501819016789,27.300785606610322,30.749394718175598,28.24045417503791,22.74105215719544,26.622712808308755,30.528796695134222,24.757032450274515,23.927195354481384,27.51538307563007,26.79967533267529,22.332725830276512,24.38544585250243,22.832235833290085,28.629481268312198,25.347905862975626,27.39269501772101,31.14993183392154,34.93510482754517,38.563338260872335,39.99440886578091,41.94818019008503,40.519715533498164,43.371534944846246,41.83240358965152,44.70602509605028,42.48797024613808,37.01770879657684,40.051529103644434,41.81459147152466,37.15918517534066,35.7538670002252,38.78530940216443,36.96294016565597,32.742388801825314,32.98994926077569,30.95621513557241,35.15065411804397,38.20798582709001,38.12783504166823,41.24577029283416,44.207673037019504,42.46402572586346,38.001890887136845,39.835583869357045,41.484332000167534,37.030448484878214,34.949538269785116,37.75467749791551,36.52608718426303,32.62488032766354,36.3428627818602,37.47286278325322,33.47071144402431,33.210805785879636,36.71914693670916,34.83856538418827,37.71737285423904,37.05477522582347,39.577926551452045,37.433456976900224,32.22959160930698,35.35473612474038,35.488599092041866,32.067268912595516,30.68646153694151,35.56122997706546,32.97443857985124,28.002905046896704,30.52522995885946,34.10120145185684,30.968300511360727,27.129556950703765,22.81498548486816,24.566771014363063,19.970165676519557,22.405304561418493,18.072797836719552,20.6192760628123,18.64708546842654,14.83962816827784,16.301144541091617,17.43587461908219,19.358737315168316,22.971361297468675,21.457134996648968,25.52853962123769,23.127798001912453,23.75223682010014,29.28927784109129,31.216183552763486,32.29178685146257,27.26246789600771,27.14981032821551,30.391232290837838,27.881354916590826,23.75387582991391,27.28285039804656,30.64787943102857,30.851995117426092,32.5138459327336,33.58516383219629],[26.50583023703838,24.380979893304197,24.049678767566153,19.99103359854693,22.264107409613775,26.45667455654847,27.67648267310044,32.259328602411756,31.995045673455124,31.866968385541966,35.023451132729555,38.295149641368326,36.117067552097765,33.93344104406604,39.093112670490186,40.157822924818525,36.72634882469389,40.07032657444016,39.818103269498394,42.133494849483036,43.87699982332957,46.470707973420026,46.137404628034446,43.65157317560291,41.86665086997017,39.076534946028474,38.256518923900906,36.31561951788098,39.364185033789745,40.744133643832946,44.87331683464325,45.00895694867699,49.13269808589319,51.728854041495254,48.6798631245517,45.61745616595235,45.06027759167239,43.06365872943488,41.16758671855672,45.777219099601936,41.05693497264381,43.364816458098765,47.339023111486554,46.04930685134311,45.51214267793533,43.67719278890198,47.30248514393599,48.699606400454286,45.232898563540594,48.31563196533836,52.232430261435894,53.50727025605118,55.480683208838485,50.801769232562926,55.16069858614018,56.349732626184384,52.93828070503994,53.802790247989634,58.29878289251566,58.061975664769115,54.107241121873535,56.09212249525144,55.140011540544435,55.41308586225165,52.37935355312453,49.797565198894,47.05137885067593,45.66952227416378,42.58543738924828,42.15158262809132,40.4205104897992,42.626196043663676,45.44037172629608,47.62717084703499,48.003628382255,54.14702546796871,52.21181232091563,55.9415991957477,54.13422282851901,54.05897813298328,52.57917142511129,50.60522017468348,49.55812548250618,48.19609157800398,44.5368570768791,45.27464620673081,46.96284672317953,49.45369480927999,48.73747920199262,53.40771952835639,51.050050727222406,54.28936239840633,51.651717541069736,50.466140046985856,45.92617650652006,47.03717361221628,42.791535720669565,45.55650845585436,43.40734567204983,45.73050302126469,45.7209247070846,44.58974761196057,44.9119732002167,42.59669830206888,43.023028134737764,38.52523545931602,40.4598922189145,37.77086235097637,34.192275405375945,36.22689171953585,32.13829400958337,32.171121142903324,30.687867025851556,29.142006974676406,30.670074475220595,28.431652847465024,31.572989177612516,29.728127059276265,34.597292374103446,35.52490127386575,32.4020785978135,30.915519056024518,26.478449603223396,25.990521784529502,25.97871810625251,25.212042085465615,26.627244362094416,28.189305444291954,29.905908958451374,34.30181669086163,30.975861047928884,35.32839186829998,35.18729229086649,38.24627525526968,32.90787615677541,30.788775475192047,26.071339681217403,25.36129537126451,24.01577132849956,28.082864408268456,27.284699404931636,31.828465737293953,33.078418856877796,31.781114293451566,35.33233269177459,36.245782756782894,33.241192713064564,34.6165302038462,34.797092549263894,34.00545473882788,35.88581799967216,37.27236331518642,41.65479574425249,42.58215656260117,43.3620982009753,42.9819941812413,40.263615578685005,39.971038527027346,39.78200908956406,37.814596834347626,35.239419739009165,38.20762512976456,34.01351885050548,38.67741961694849,36.70468280287255,32.208227828003764,34.09888480762537,33.85825874943076,30.869423110763268,28.52538470548646,30.07654976664507,30.361788174485678,35.08683338952339,38.10823495868513,40.55035751930821,42.712987142411485,42.48938717340996,47.350518516437724,45.37227933305461,45.79479631759822,43.01721577827009,39.55758275685202,41.539641497566556,42.487375178541974,39.76460678592833,42.9631326476535,42.43579611304047,45.47451053436915,41.65234811841951,42.64036183340377,42.019727392785065,40.76135557882716,38.612988453272926,36.38954740128126,36.29167063298321,35.22978746512379,31.10550738302579,33.328362860905536,30.807543877458407,32.28844670054164,34.22169806389083,35.273146239847826,31.59543390617173,29.88613781098096,33.60537553971983,31.632473852186415,25.853112252583546,29.59542499306224,34.02062063405595,28.593463939390826,27.48841861143004,31.1327536096079,30.939270920685548,26.463402465365434,28.03477864992092,26.080707763357236,31.81807319658739,27.485193493681557,29.874123262790672,33.76844219724577,37.038230553319394,40.80905922988443,41.86608263817209,44.11290204992033,42.61968772947967,45.45405675225383,44.076631226087216,46.47884758076158,44.10531115737284,38.83780301463893,41.74874272281283,42.9506351537976,38.2689183737236,37.03156592869055,39.73227919435342,37.410281997602,33.41762894290441,33.75164916556842,32.43187801314241,36.961312308265065,40.07182434097952,40.4599060850127,43.81257216180021,47.04756852130841,45.47443498365976,40.849356788018596,42.94564645509861,44.91649179021628,40.49968289897921,38.347584462726864,41.4745073179017,40.502391861536424,36.49529269331002,40.017750006092015,41.46148067207634,37.69505234895985,37.03866699613075,40.36467117782567,38.19262506506738,40.871964786323154,40.10296019009015,42.234606058915155,40.15107966771403,35.06647882680352,37.76055374825191,37.60542096410964,34.30404404397821,32.69416735355219,37.081533280625656,34.33413503641376,29.53920854550794,31.673819416456322,34.87917154666254,31.607082408828287,27.884192081100014,24.061614387082017,24.889178553056446,20.59739169190591,23.875072230890293,20.219335615550442,23.26286178088317,22.173815464482907,17.862061269273493,18.709866213661815,18.820044479541107,20.758802641970757,24.91211219746505,24.000937216397183,27.901505696139527,26.00755035523828,27.247863556104388,32.827078301699366,34.91262152258356,36.2845247773816,31.218976401598972,31.243165233137827,34.75814815775833,32.30787896043237,28.288211365278574,31.82839941575401,35.36415329187987,35.63270783647348,37.31619469112601,38.30433248215626],[26.794408451714716,24.738112809207124,24.423768834013362,19.542576136023253,21.705550101514664,25.303944221884716,25.964444250898175,30.524999081082125,29.703544642400296,29.086589900380226,32.04180160827674,35.59229499628146,33.25919244160275,30.668535236884264,35.7622266841262,37.00503329417544,33.473355708086,36.60033557051123,36.122439648778176,38.73209956254425,40.31434781825631,43.109940880918714,42.613582061549764,40.196820987427195,38.57009261691212,35.596412136267546,35.07408727834077,33.12163821826776,36.20537313012212,37.81300801808274,41.51148217460932,42.112809852340476,46.134147708166275,48.55439693804271,45.658213885759224,42.47331265926381,42.30628140637359,40.1703565233623,38.43040880504574,43.34689806777843,38.40057943831859,40.30552837139871,44.368479182878886,43.3209640104635,42.8411014957816,41.34068207913587,44.9803964526142,46.18414119085627,42.982003064759816,46.37279737780203,50.06649866736021,51.523982448317525,53.22462962074747,48.499589892532704,52.781472960982995,53.79519433526247,50.18749959620312,51.02705815273194,55.495140732377976,55.197549244471226,51.015066171669055,52.7788293993187,51.757677668228496,51.834772308103155,48.96134457898524,46.445008888161496,43.35239293873731,42.03296757134345,38.693467525394595,38.30641853211752,36.40786920205812,38.44254824440383,41.437324366678155,43.64163597008837,44.266137062155885,50.401840362431955,48.71225863261604,52.52899524292732,50.923827049041435,51.019665562106916,49.821260131969325,48.096549110414955,47.31522573798453,46.19550154816054,42.35273591199486,42.83741861074828,44.15122843138092,46.71518422862245,45.579523464063584,50.225843205409745,47.62722931786879,50.671501449828654,48.08484002312547,47.07533371381918,42.59756366266724,43.61549110489139,39.42969445115019,42.56077326321561,40.67541795843155,43.418071585155324,43.26760056633597,42.70606945521438,42.80443118813316,41.03679157338688,41.75933698521159,37.44832916966039,39.86779099654739,37.46227679345548,33.99550492104109,35.638181454254855,31.38029008035703,30.808616730187477,28.895560119093638,27.040460035494313,27.910293448074142,25.506542821990664,28.359360590624654,26.382765005011606,30.895121198707425,31.921551815744508,28.679876150495346,27.40416026673776,23.045755032684742,22.980231783576613,23.459695721130142,23.283351287937315,25.505427364683882,27.063333376133425,29.234356178966166,33.550498432636196,30.851468221107986,35.37861908424662,34.95390238552939,37.63410078701801,32.185626521308514,29.602276122267362,25.416222379589605,23.84029272820127,21.9079693184611,25.865128826030364,24.615820755289334,29.018447873193725,30.04123939148736,29.001921986340985,32.64679480359562,33.47260863240269,30.576853177980478,32.13260017081327,32.7244812418416,31.911476466171813,34.28957918339681,35.45206640363732,40.12653501974219,41.00275350248493,41.3455432692051,40.98058142266008,38.04325417757143,38.14247700859177,37.53699963543519,36.11270195145813,33.371079059211986,35.864636433773036,31.770078152705377,36.45770914056691,34.91661633690887,30.50084207420142,32.95317281507951,32.90804356637969,30.30057249724723,27.475924619922008,29.116607579267733,28.824957212615285,33.542486403687995,36.43572901853083,38.664761450743484,40.926400886148315,40.27309745483159,45.372236004272594,43.40037286514442,44.141786509830915,41.448300181250154,38.27420634213883,40.58987137998109,41.64625863896416,38.68780909000188,41.41441616089236,40.43070974500809,43.728241806856026,39.88726405586424,41.34498680653717,41.09692375045371,39.81456688972359,38.1179765621578,36.07900834606187,36.32739997218317,35.74042651832534,31.556591436765103,34.03954187956789,31.816189468115947,32.838575760907524,35.355193390791335,36.0026050128209,32.09673523146856,31.115912043631585,34.92498665034434,32.511188250754316,27.086366323353715,31.265721419040478,35.338446882758525,29.678080700281896,29.106399813672063,32.845573028417064,32.071744403726896,27.769865890145255,30.025968477530718,28.292952767536406,34.15944574446465,30.423367777770814,32.36482964085608,36.28332512975323,39.75584903813886,43.62318101733246,44.67813293471186,46.54228537135243,44.817237828492246,47.4435392910585,45.651725419679224,48.270087205272496,46.27110897324353,40.692147058704315,43.34396862334274,44.96193031071767,40.40437400269259,38.74882016801569,41.31826504985958,39.55642930611437,35.56458846232788,35.12564338157084,33.91744827612748,37.821325530758315,41.154701041006206,41.659111613867026,44.684931095576026,48.02627591843398,45.996596542793604,41.55189218341686,43.9697110908638,45.535617896952395,40.89619229765911,39.21726335284209,42.29896763189469,41.07348470126948,37.31467566068552,41.2436399524551,42.487052088468495,38.542911976984556,38.44795207505425,41.98573753149203,39.97973201100641,42.610890561314356,41.589727719237125,44.04503423264298,42.269884026889926,36.92273434893517,39.62400796275361,39.948504833948945,36.6757083668592,34.765476850595405,39.521400303356664,37.20394239631603,32.140324259641865,34.04266077464247,37.71656950797259,34.77369979365364,30.89425214797826,26.904443461018275,28.363034625498983,24.06677270233576,27.213885287333774,23.040552560494795,25.485818942524762,23.678607855307252,19.89876540797629,20.728343283768375,21.382185346463558,22.773698991816627,26.68233082591491,24.796093089344662,28.428619599279756,25.807138457818848,27.372095350218345,32.74950578615955,35.136722160278744,35.91236986181336,30.839790481024142,31.471487624166308,34.689521679738704,31.534788932987535,28.052303301904253,32.05979154658746,35.21644497212797,35.0781641807076,36.47397669999525,37.272139158363295],[23.571030082272888,21.268767016930006,20.597554973063787,15.649597702901685,17.59915311567395,21.36179238424226,22.065431823412787,26.6472894489886,26.116079438470678,25.703504566777124,28.838340296887143,32.19622235008969,29.911036350762476,27.659823991909402,32.81428925173694,33.89926061347047,30.50855294265453,33.91283785412733,33.88293557220897,36.25757527252283,38.19046961511835,40.96388535056481,40.80970963910578,38.569995182222414,36.57809636990333,33.52876005081015,32.597607647823246,30.39763218335409,33.28882492087023,34.61055889460094,38.6226757066179,38.82462561753557,42.910045204295244,45.50874725304898,42.535408788982004,39.51800982273803,39.042135405544684,37.22048910128931,35.53427721897384,40.469995868567146,35.82745188604924,37.85784260560055,41.98357031405859,40.91914019141689,40.71226703683801,39.13187490090816,42.92398397454692,43.914627926136,40.42872197133422,43.94894254015443,47.56330239057819,48.83330480373877,50.5495419147028,45.67520346560404,49.92346250918389,51.168423674393146,47.64439526224592,48.27836368948105,52.80025774134704,52.77388220955844,48.647026590896644,50.400504776576035,49.26366100488123,49.706857122339976,46.78390323508467,44.03002322055167,41.22866205623007,39.63926472278401,36.59531760255991,36.00127935371633,34.36993338355431,36.69288343253728,39.358601159519985,41.65308604830562,41.87051004766608,48.05274366947364,46.1873735380612,49.841451008324654,48.13152714072236,48.2337878581723,46.75339329368556,45.019139009670894,43.95078645513708,42.910521419666935,39.193551105640594,39.60835976162422,41.20216536362148,43.53795986768791,42.744093623566485,47.27695549412416,44.86981877404449,48.0857289011415,45.400522998131336,44.189336654638936,39.64761860451453,40.77689372065286,36.542734763311664,39.33021775963963,37.26320363015208,39.79253970038597,39.67929809874233,38.85991067303669,39.09764286671524,37.12946520593807,37.91133164353472,33.505845268535964,35.883521886057935,33.55253215541833,30.00312367320075,31.583170414911176,27.299776876219322,26.86261847196031,25.000953062108685,23.336264568355773,24.532886701255602,22.353137714299862,25.518876235275634,23.950298431031253,28.81813626745084,29.440970281414614,26.295051638883518,24.681066898690556,20.30012792734011,19.770116358149103,19.870595575152915,19.502554785038615,21.442518311908927,23.108896065464005,25.284318109185744,29.707627982681554,27.12263107287882,31.67701187465663,31.466292454912747,33.975720958374154,28.675333417467257,25.99879936163268,21.7954022857484,20.45057731454536,18.800467436909972,22.763764295401494,22.26602124706236,26.92918787767977,27.661742099912672,26.23541808070176,29.821918668720304,30.399985370730075,27.381791450790143,28.664613693191946,29.014244800310536,28.13335098984921,30.337266380046287,31.609403727301704,36.19632513474246,37.2164945549038,37.64888880032429,37.19700852097837,34.33198192704614,34.27085216250633,33.85905996789061,32.27665585970831,29.76058269756456,32.510419465200435,28.62562837721838,33.348363275333504,31.885782106796707,27.81598529799772,30.075497098163048,30.423568846532383,27.62123685681498,24.716671951115565,26.02775062536262,25.657385580559655,30.232239198086873,33.018359118423376,35.18375650729173,37.27410225797195,36.715165283633404,41.74118922851748,39.93330044632113,40.55705241198598,38.0611386071727,34.5972797896158,37.09164549474624,38.33313849635802,35.44433782897235,38.3971339365928,37.54075336368074,41.00310427105933,37.477927367873136,38.71736806494643,38.549238979472584,36.95771827087354,35.2177798785793,32.99496031138125,33.148373751791276,32.551286247559766,28.194309868527405,30.52555250308643,28.21924802095705,28.985204597996837,31.600808762257746,32.06566238617573,28.117308822164233,27.35367828395983,31.156008648325802,28.610008914445775,23.332283524432846,27.67693867795454,31.622801980915312,25.97538357739473,25.645479348836744,29.459481367200603,28.55629764889331,24.433701912483283,27.008090681882962,25.246998783537443,31.16704844945778,27.709166001890015,29.26090044832773,33.19501723254283,36.73682353220659,40.70404105036266,41.702190918474074,43.28638597438887,41.439514885374656,43.9650273436836,42.00050161108173,44.77869906111186,42.95422597463296,37.22953191803116,39.82552772882962,41.72904443907789,37.23277402062609,35.401173936864694,38.05878514474065,36.63989546850493,32.56823480527547,31.91550723588113,30.461117988845462,34.136104676714034,37.48200022630552,37.895699251080124,40.80464961213567,44.12764918084456,41.995089945831964,37.602851943313745,40.073720028464436,41.537433686949434,36.859269944127405,35.293266335237185,38.39821073439705,37.153830530281276,33.462623852347775,37.50857340731471,38.76729335187695,34.86960113926623,34.90441035808684,38.49054134240963,36.49128714482808,39.02657064985515,37.866631560073124,40.45110408403908,38.85629133050895,33.38873426720128,36.080722977530854,36.66880742242127,33.42917553174989,31.3820963983854,36.37233274563873,34.34460482485195,29.122480602026105,30.976115208707377,34.96120360850917,32.27276284480726,28.294649925132145,24.14259315821123,26.239383483145076,21.954648869308613,24.895929685787806,20.343868263223264,22.281182663650686,20.191031590439096,16.76340511078892,17.46265434524583,18.515901623572773,19.594380243216435,23.239454620686836,20.955126707684748,24.558169737086697,21.77196923716134,23.313739266138946,28.658225435990396,31.089401400879435,31.835759445218628,26.75719522995832,27.50802270381494,30.751303499099333,27.565188904083527,24.18325795057857,28.325285213247962,31.4892750453257,31.33182272166072,32.754129451853096,33.52912438167244],[25.749396797038827,23.09182537144349,21.737202677313878,17.71539459823608,18.753493367199344,23.74675387311068,24.591377824486152,29.144937212113746,29.349928555410937,28.987990190707244,32.37228162079774,35.49459443718571,32.84111507925119,31.123493029829074,36.195871272448926,36.89289342369306,33.28632952424094,36.639265250262916,36.42699269775128,38.33734813331065,40.18683733117511,42.517319809515584,42.38825447296278,39.891641768038745,37.88514532545022,35.30963468601513,34.203825925931,32.40749200406783,35.56178410468275,36.963335636740496,41.5661593100719,41.41711201261529,45.69971307693497,48.185826975251516,44.89469525524497,41.799623553333596,41.01482929360563,38.85863548042735,36.77263910733406,41.10562190200331,36.52267900168223,39.141620696583146,43.01259790286052,41.54718362472024,41.0192619070427,38.996416380484845,42.65470928759952,44.08346370567696,40.44429769011693,43.41775571766301,47.405521033751285,48.590496130307244,50.679777331754806,46.04283017392364,50.43548529614793,51.70220811277109,48.432454865621914,49.341679761620114,53.83277397889578,53.61731345771971,49.85857910561491,52.06847199487109,51.25219081918283,51.6856298428896,48.46192467014291,45.85955233029714,43.55016899268355,42.22267970987904,39.52563960305248,39.27905179316422,37.765763612454485,40.30548750221928,42.787149274069776,44.69976604830232,44.82182575199712,50.88020398271903,48.5584583353367,52.267228418312534,50.19736942631747,49.87472497055682,48.26360596990608,46.05291596214778,44.99484719506675,43.399159700171595,39.80231438392925,40.78013296085036,42.64170461676345,45.23599715808395,44.77978005975128,49.62698475652188,47.541777998136986,51.04425097972312,48.53815701019955,47.360575151718876,42.888133778361734,44.34751671707175,40.17095786358399,42.47691142805498,40.30284784441223,42.64448978161649,42.135538224765064,40.839749889691234,40.83384444357641,38.421739576116366,38.42775463742575,34.056991850151704,35.962774398570744,33.124368268647686,29.769357306115946,31.977368091956627,28.104866493386208,27.92017923368771,26.89755813771977,25.07060116742683,27.019353318475485,24.645213484749632,27.862513243149422,25.97056584687058,31.201018921603442,32.19132925993166,29.32768281611346,27.85111797958011,23.251893850816536,22.62537584273139,22.665949489559917,21.125918254587766,22.821386706117696,23.808891513990048,25.366146063889563,29.55693003248343,26.119872125218603,30.47015077079549,30.116135166949512,33.27320367500352,27.848148321140908,25.891014802929543,21.115885168527402,20.48367238761547,19.367060385577695,23.447836435250526,22.881260178988164,27.51230597739429,28.909990393870252,27.45127834849865,30.900986103732194,32.035712865338816,29.037359094273906,30.557143980495066,30.67657316729321,30.33093165480464,32.201250597117046,34.11416670429019,38.37888051552525,39.92285649181824,40.53981880441742,39.70892440017778,36.847009443150924,36.22377868771093,35.91385717145851,33.555353352181335,30.68949932380716,33.769792668331824,29.362690259977583,33.96749166057439,31.748852080144577,27.223084955938205,28.947022400456778,28.729883498836127,25.676552051865002,23.374314066557663,24.913280417588133,25.363847685179945,30.119728357250533,33.242197279374075,35.84591370570567,38.130689495872524,38.18272656013571,42.89618333284656,40.70017373143599,41.03547533494157,38.07315968059484,34.73392839039956,36.48545099551831,37.33866450927019,34.63257844307768,37.89920153754263,37.5358607166482,40.46237461183886,36.70435579644129,37.53036645292401,36.874055933177225,35.577902559095875,33.402932377221205,31.191253820242242,31.14823919348217,30.211155592147495,26.13223208533764,28.56502228684232,26.350117295649138,27.918983634460318,30.20831033343016,31.404009872326498,27.67034852789471,26.217322335009012,30.23356628995303,28.43517688903399,22.752243404514907,26.788087890214438,31.392236166751122,26.26125823587648,25.481181863437385,29.353030511730637,29.243870922685367,25.12431008209831,27.038251140856236,24.7184097945773,30.566211696199257,25.928703152056496,27.76095385885648,31.845961448416617,34.81223986868382,38.97196494130696,39.53626446476007,41.40290033774789,39.51940822140466,42.06974327664905,40.3785993212936,42.66848616596402,40.60409616187084,35.14402809392273,37.72536005932841,39.03177320049156,34.47591561721006,32.91746995071572,35.381946785487,33.38882779282306,29.475508554931267,29.195293629073603,28.23078439851767,32.47928273787428,35.748119098497206,36.50751962237354,39.77390009508264,43.295510741465534,41.55272194781221,36.92477405595416,39.4967671178142,41.469153224019685,36.958186532203364,35.09634665900716,38.56978539713423,37.738687141097785,33.835492701710976,37.50466974288172,39.21712239568219,35.70734697547691,35.08439097282784,38.39582269402284,36.004439124497466,38.293606265180024,37.07019087220143,39.158294848519866,37.58537679734077,32.29343684672337,34.53256598744008,34.75357626508035,31.640956133067935,29.415313387103996,33.888698286016776,31.69485675392866,26.65129318692089,28.193823516034765,31.81192299281643,29.0174343466599,25.13846959673355,21.431306525843997,22.819685686576822,18.85928965434498,22.560592664236456,18.61813287017181,20.999658667559082,20.043793613889488,16.016663677855593,16.00189156245633,15.977992317590664,17.141087398351313,21.31951882161442,20.036627088443183,23.607365214247018,21.803657111452296,23.70302867342746,29.161446770268768,31.555743066650727,32.993492522417476,27.930727065164717,28.454663428536193,32.17504659566402,29.563359064275396,25.995894356636267,29.869667747915244,33.45379070444013,33.63240082267604,35.28626631152188,36.09099630172234],[29.689481688921006,27.162845613886454,25.925103477255455,21.507800030227767,22.40937193393665,27.142253331522447,27.53085310898622,32.0712743985375,31.84718604543643,30.923764678024444,34.12565584631505,37.55751507733117,34.56169809895604,32.4436984504507,37.40451180549808,38.21060699724943,34.29192407284713,37.222626683667606,36.365132498026384,38.509183981180755,39.88993126286054,42.20542895202009,41.65729952291371,38.94407006340719,37.37567418976393,34.926070975209036,34.34139552802778,32.92190397406129,36.39415264909847,38.271244021904515,42.52227354117128,42.94546293029132,47.186505077795275,49.32788381611814,46.08123817401636,42.697697237134385,42.373523481382065,39.67580105229943,37.50023181050716,41.82203574897656,36.7966350240362,39.22117685344835,43.000716400915714,41.576926897645016,40.71022045562847,38.8517351247733,42.319157512818805,43.97060891678159,40.75232284317844,43.63147867855321,47.657751848671815,49.13367435762163,51.13648577068411,46.70141225100467,51.119568449281275,52.03843415997773,48.63988713884998,49.83526492627747,54.24306767985431,53.65017579299935,49.81613013023828,52.060907037915754,51.434757332296435,51.385023192429486,48.19382505137796,45.919137342919676,43.29766161241625,42.36968720215548,39.37439708524845,39.50103550734164,37.68839798794556,39.97252482744765,42.776646667695346,44.4478042358778,45.06520192488904,51.03046382004593,48.843268589814606,52.79506693622929,50.816577533773255,50.43883320760969,49.25510212630927,47.05546959415686,46.486541843149965,44.793430571685086,40.97619134980098,42.036244567648104,43.44574501272872,46.419685511158725,45.458416958822816,50.533498365886096,48.22610743482114,51.56126791686476,49.25959342725472,48.410773436111555,44.0626859469231,45.51005226020091,41.434796184525275,44.12120253494947,42.26581866480159,45.07160066831326,44.2399746800022,43.452350828866194,43.03246824064973,41.08789611325891,40.99278064078475,36.89299179301111,39.07641200417918,36.245573189708225,33.15762181724905,35.28958137730625,31.446432134320908,30.701969637181936,29.55813235428055,27.232549477673818,28.631309673198903,25.836689218489703,28.58590113475012,26.09257023786366,30.908590073786023,32.4862422838082,29.563758336469196,28.58635771071745,23.942022758957425,23.996437818022166,24.73827776762464,23.45036212339299,26.020447559770982,26.69111649537089,28.43370946005334,32.34677225145985,29.095013047839252,33.45330019954687,32.59121946556592,35.78752358666138,30.11992983502774,28.110022706129236,23.687237655818024,22.28747976890162,20.565399634123406,24.58221176881138,22.908370974140723,27.168611721106505,28.92075396092846,28.007580988589876,31.53692358577736,33.049335106273105,30.251922163915644,32.26389169159081,32.85900097587884,32.757854970096794,35.08660244222514,36.96722653479026,41.44440440367914,43.038942003136974,43.28702385162559,42.38181421384925,39.26202488061675,38.883986788510555,38.088824990902,36.02684929739738,32.679987216458244,35.24971879083259,30.5296635968926,35.0727217561413,32.856761339485686,27.911848265009684,30.10290949960112,29.454536163389804,26.877279695578565,24.47080494221154,26.484748490493942,26.791748062977398,31.720212676326888,34.950095927690846,37.59574506630216,40.19821340032404,40.042348460383245,44.899737710927575,42.40218165935182,43.00289889807063,39.74836660549473,36.98544077590045,38.568447464077565,39.184852388421525,36.29010288090498,39.03965169357345,38.36368485361195,41.13163635480705,36.970392204408654,38.24056535273597,37.63772578431513,36.74653614140524,34.86087033679982,33.02182748852918,33.31084083873803,32.69694794365309,28.90343776978267,31.715245513514716,29.913279933906384,31.56704700376419,34.133424333377796,35.386644523501545,31.599055962693445,30.366603440031863,34.486820974704756,32.69360550694156,27.106256984170525,31.21237512472177,35.81223999248094,30.665465257172293,29.97201868529763,33.84885882849139,33.637838697785455,29.507207124536595,31.47650431647936,29.20312623592613,35.04423120602747,30.291603897581084,32.20126464520506,36.298678859601566,39.143853945477495,43.32166117478622,43.77572101980328,45.67939431958078,43.716999546179096,46.174811583861576,44.406610033565336,46.530608517516,44.54856550586013,39.113209233280955,41.49178578470905,42.64762667010269,38.17136160714391,36.54226702158309,38.70171544521682,36.67588798079948,32.96696534228903,32.35673190962744,31.92162142317134,35.98205700141312,39.370275400991275,40.43490941722067,43.6343329827392,47.31798396432218,45.4322634416756,40.84962593930746,43.670244723905064,45.56937616883509,40.98060211667602,39.322095030474586,42.85362519026525,41.976585794907265,38.15577760073563,41.916882698723896,43.607212639466326,40.051666325964696,39.54856106566948,42.885293603198704,40.49579840082958,42.73477993934266,41.41240940812975,43.46264716670412,41.99907018993932,36.70194263527343,38.781768171643606,39.0264401544285,35.98243361808308,33.60660366469065,37.9283605074436,35.78497654320815,30.81231020280852,32.07745809024584,35.596179105982884,32.83470113367359,29.03380468127348,25.578571184182632,26.581191519776244,22.809263030047045,26.73839905759138,23.013032100666244,25.481622218474225,24.51814790609754,20.506208488405846,20.455306189244116,20.23170506321754,21.23645475872015,25.481564239896006,24.055032246761908,27.347663987361766,25.37888673118414,27.669962396272737,32.99590747071494,35.5881596169149,36.78186306755049,31.722626983467595,32.58113118950906,36.192181773632775,33.20737138757399,29.927918110902027,33.99886835818247,37.41858924381089,37.39654269030285,38.88198463046318,39.56188281259573],[28.050037065275546,25.40770550248377,23.84060435831393,18.957446687623836,19.300956535771054,23.764929261266435,23.626115657410526,28.088338238298576,27.712548352197274,26.44651682554292,29.62580374469003,33.11013648449166,29.900437708538025,27.78082009790152,32.68023854953219,33.43986426655436,29.46757064647022,32.38496809753157,31.61139406162138,33.76424232082466,35.26213171777655,37.685373315397676,37.26691240287549,34.711111872101235,32.97298317067974,30.350123326934874,29.687458316371394,28.140389621440008,31.577726123041877,33.48807998792289,37.695736843167055,38.189794540550125,42.42175742019091,44.50589127712463,41.278841067461194,37.883842115700084,37.63844147905071,34.96988236901344,32.90281540777956,37.454644245762275,32.433967925650684,34.68227203124035,38.5772239498862,37.300940984767124,36.66227954305581,34.98804085017104,38.6007997913848,39.9552450762474,36.72033087611573,39.944253217949345,43.75660717766255,45.2466596752284,47.05885991828549,42.47609021204797,46.83073120941922,47.7767613863382,44.28636759483292,45.337254814436264,49.77038244154304,49.31139288798878,45.34815793696144,47.456014826463665,46.72334886413338,46.784230095826125,43.64179664951634,41.253575173316484,38.61806807320744,37.582229017614615,34.64391501103524,34.73436484196993,32.998566909937374,35.40651958180273,38.077372402162545,39.75541593254053,40.26482954572548,46.24538265873211,44.05808963872294,47.981207666859206,46.041386451310814,45.75587355200883,44.591927423483824,42.537258627934015,42.00142897777169,40.507756174696254,36.61893532029794,37.47966080038664,38.7956451260105,41.7181852715427,40.681223634901414,45.71549762803826,43.38833382204643,46.73492797471679,44.43986373494639,43.61038733826508,39.29231951783518,40.811890620083055,36.7825459581187,39.44083709028831,37.68818122038552,40.69156484101316,39.6620348385505,39.13951490099911,38.550976535641375,36.9104471153716,37.00027049743462,33.03257060894616,35.56765261194877,32.99378430414423,30.009704970459076,31.81183833778554,27.898998600197345,26.68625431350585,25.35334488400318,22.791123470230648,23.93205806148487,21.05526264853585,23.75696385870684,21.328951888202123,26.206190304778918,27.665758833687672,24.76633553177433,23.78936049585494,19.12651003050993,19.276452367961493,20.28253185604491,19.1343015986282,22.31637916497597,22.861157732388836,24.931832049562068,28.767901886494055,26.102377489519988,30.59773801675158,29.598002706414608,32.379763061336845,26.700476421784604,24.2708912213764,20.307467318034615,18.26047281189248,16.19039586518791,20.155639434588334,18.542037369907316,22.937403738365802,24.367569588808532,23.395107606796106,26.97733681195087,28.34032976516973,25.555066946070106,27.62028185291261,28.40945433407052,28.38015873854204,30.99730470525133,32.878005284667786,37.473025770457006,39.2295980983267,39.16141154009414,38.123651920829374,34.854493471692734,34.618727129166516,33.571975823936775,31.769315332116165,28.340788989737533,30.690534417392826,26.10055772326207,30.69661680184041,28.835578276152408,24.143914120800993,26.694405964679053,26.493742389103474,24.108118186632257,21.20151023636388,23.09084096202686,22.86472715510437,27.73022436198673,30.817377397947467,33.28704452354847,35.89903710801437,35.50951433931999,40.48567637288213,38.04566975243015,38.81920189978426,35.71587385197042,33.035285026956345,34.962173584658785,35.77314540981297,32.72294599744035,35.23788664076436,34.28532270333882,37.37536724259682,33.40771448217244,34.91034103774072,34.67789487422445,33.54061935536681,32.007952268701146,30.204522646308263,30.735720303687103,30.53651561717875,26.60479453897893,29.547979270499038,27.996026787912875,29.123381180843136,32.23849613772084,33.079089667936294,29.12072080618575,28.63139596671651,32.80835455277286,30.655390710691407,25.514583043803203,30.010335305463663,34.24843103893135,29.050726147693208,28.922040093116653,32.883508056862574,32.2083312146969,28.405817693908432,31.025255725019576,28.878828550536195,34.78751034319987,30.642569980234367,31.938568819368356,36.04135053039445,39.035821785241495,43.349074680714175,43.73397996520832,45.13610958804061,42.89988486263157,45.09799005904244,42.8818984509192,45.254372366648134,43.71121814485126,37.956052800225635,40.05171796560263,41.72531668851983,37.42233259416165,35.33256023682776,37.41192255788806,36.10578921055633,32.37457586308556,30.95241189787959,30.487138198744876,33.83619192311127,37.40846234128909,38.544681699228185,41.38908623304111,45.16074227623087,42.84869984325305,38.462895193748366,41.60742426851908,43.128209956732185,38.36526938242182,37.186160059555974,40.71881846983487,39.671947212884845,36.12231911449209,40.233704146463865,41.80967089577969,38.21957135813984,38.19951157302354,41.687234662203196,39.41493217108113,41.50266568217836,39.868344055079355,42.2209751985713,41.157249705240034,35.61269673012889,37.628010554949164,38.43046898010528,35.46642937092901,32.74861028107693,37.47204449827669,35.89301189872882,30.643320376544498,31.64974948711326,35.73263960244365,33.43384219065563,29.47439377595155,25.82975352366991,27.730144851982537,23.998904738868298,27.663511286066406,23.380024361248687,25.04524921160148,23.461253354789513,20.134687078437985,19.908066434511504,20.299079403528975,20.618561801484617,24.433114139743434,21.99578369536993,24.93836344568171,22.340792834938007,24.989713967123723,30.04105027479417,32.91672635740824,33.64417602283942,28.637392660994198,30.10087082820713,33.49808009504175,29.983902658697257,27.30329477718689,31.772386567170575,34.8893500217924,34.54953869252661,35.81693687405352,36.300260618375034],[26.166016742511506,23.080413913871748,20.64588980782461,16.806768744375837,16.124100464638598,21.819278054851637,22.056993607410977,26.433456794663282,27.12135532891981,26.39759393472478,29.948652828894037,32.87666767161862,29.654854740169746,28.48385274786112,33.34185437875848,33.60738875604742,29.81046944790062,33.08851219650022,32.8827243290312,34.309869734829554,36.243680710849,38.25718808730835,38.35117252826795,35.866132382034564,33.62681804604851,31.32604324590722,29.913931985820778,28.33404799506416,31.603459684825715,33.06289138054076,38.13719138195191,37.72154120695994,42.14629200938657,44.45011094043327,40.90945737104747,37.770964170513516,36.77433939309361,34.394990826336766,32.095019284552194,36.09812998001072,31.66508610203117,34.611305818076374,38.344183355282134,36.698968920155934,36.1861745517032,33.978986916146,37.675278383223876,39.11487995902539,35.30540359908672,38.18294131699213,42.225920304224,43.32853497354806,45.5188472101345,40.93541137439228,45.351029606288606,46.68082486158926,43.56269864195687,44.526170455759,48.99507585849889,48.79071758762399,45.24469217417951,47.689769551335836,47.03554253285538,47.621436921487735,44.207315623247965,41.609138140555686,39.79381137585565,38.560547032570135,36.321147589698086,36.31807609510954,35.05879303585049,37.92606374597531,40.016549237918696,41.58314392125059,41.4458037402419,47.354446076340516,44.623095138869736,48.30417624891647,45.959321484615714,45.35988776163073,43.6435757709628,41.18126945231083,40.16300247290293,38.30694280225364,34.764680337293655,36.01409451215192,38.02276855622429,40.75561967833203,40.55163649813827,45.59077806180649,43.80681547277116,47.56830720416346,45.2461639015711,44.118519954255724,39.778646607673764,41.61977847879325,37.585778875791675,39.379601972917776,37.2445241731642,39.652431246730764,38.5195664332914,37.12986076787581,36.6707564942755,34.24901834094608,33.7569794606657,29.615994540471984,31.557372395291125,28.58598585990653,25.59252377871501,27.937873568003226,24.385471650328512,23.789331680383405,23.342631428548664,21.101277904488615,23.470819775988957,20.92949121895347,24.125636064279817,22.173264442688737,27.72157975760722,28.8023716616672,26.30904032228444,24.922534155517063,20.262687297072286,19.550553626644152,19.75435521496045,17.268098366482015,19.482021404072245,19.605745487686033,20.991234612023558,24.822772830950175,21.371108381898928,25.718937622991124,25.00036099009863,28.221065614111865,22.65715745139114,20.860482904676314,16.13457323239747,15.439763768664909,14.591414509929598,18.61833961293067,18.31034866321514,22.97846544259801,24.538452324395152,22.922522016359387,26.21538270641475,27.63850148874155,24.702297171012212,26.442346130351286,26.555008126478906,26.809097821071862,28.72502605029159,31.231591494346137,35.33768124778313,37.58539717501047,37.93387481082612,36.576370427783274,33.53608247472604,32.57263258800831,32.037190506320236,29.285267344247277,26.008067448637192,29.13152728928243,24.46284070843113,28.96941155081556,26.4860225176964,21.92323073110985,23.514801333557433,23.36059069666077,20.28903308021619,17.946059646022636,19.500339039191413,20.09433326715183,24.8950746267634,28.135542837505888,30.918756950015606,33.38160730594097,33.72011747995797,38.26192220215857,35.78690635630127,36.06539139886162,32.869590162739506,29.76145852681095,31.249062415943214,31.98672603446277,29.256855015277747,32.52553127330453,32.301877217032256,35.11667374885323,31.43211569268666,32.12774564813647,31.486690587908047,30.14153500631934,28.01363220005419,25.861908049667857,25.970142362897494,25.308310956820904,21.31451035136252,24.087346129501405,22.40052842330015,23.98192706764087,26.815356216439763,28.107334336982937,24.33505631834123,23.387981556182623,27.691019897218975,26.081528549959817,20.786410294683353,25.09380862445673,29.714903401452197,25.05270734166655,24.760360618072085,28.75733279097697,28.655411608074928,25.103451551678972,27.400002649741353,24.82702451745578,30.592589092298766,25.8834781527567,26.9672908376274,31.14030603265266,33.72669807923551,38.23932615826083,38.25254205137034,39.608906669237,37.268394655419684,39.41834453152466,37.306833007845725,39.46878993632444,37.858163383431695,32.192465126291374,34.28476777782267,35.77005124152234,31.4545231918516,29.443663093357355,31.543546140238927,30.09193387132624,26.358183146558574,25.12093673748613,24.686960515159164,28.379197635749566,31.860772638832664,33.10554759212332,36.17459833407781,40.03264461784797,38.02418994286522,33.470660263302925,36.64849707348244,38.53345579166135,33.928892313383805,32.52742309639635,36.34727235020933,35.65402667069332,31.98528906836579,35.814629158070794,37.77045854902757,34.58566964084483,34.098216134093754,37.35921596874874,34.79594925997996,36.594586017170045,34.827134114350436,36.88168318261726,35.97167535258903,30.51041765495267,32.16264050786376,32.899464544809966,30.083127172184255,27.132774915463436,31.662761739166953,30.237715103042607,25.01515879462276,25.740513400193848,29.84017987734976,27.73964827836135,23.79303805372437,20.38150131718207,22.434761433663642,19.098732095731968,22.991594982991057,18.930428531849802,20.310576185300263,19.454153695671373,16.172599102874862,15.140421557304837,15.048976534615283,14.972359743539359,18.877120055828005,16.951931577616424,19.862967844133745,18.099523380441763,20.923472634345877,26.032771591627796,28.819033141354094,30.209589578173553,25.263402165236627,26.492085310477748,30.30950141167069,27.457778529273273,24.632376327076923,28.83200536010319,32.31620205354144,32.32672506722132,33.86740030268788,34.416252220338485],[30.388277149299263,27.42064158002992,25.202032819364533,21.299209489709543,20.7824688443844,26.37446913475875,26.443645708695296,30.813329021261158,31.251385348442987,30.15630073386602,33.580816184776644,36.733929481212286,33.228518025899085,31.770256889872833,36.5355506894907,36.849511016364964,32.75107504088787,35.62603975480327,34.75794870887719,36.29702827951743,37.73737624488703,39.595874807079994,39.26946462739722,36.470523337210004,34.68479576657812,32.67189776274408,31.740584778802518,30.654016793205816,34.2809191703088,36.18686312170299,41.05065106231342,41.07037725434378,45.4867939370735,47.46885563888745,43.90466350220888,40.49455469562548,39.842107913560284,36.88143402040214,34.38177225172675,38.143021492343976,33.310005047250044,36.26181435152293,39.803487752035814,38.05125210589172,37.06254452424154,34.84122905692886,38.26588882557425,40.126380844127866,36.69605360822563,39.22077960054591,43.45831896614727,44.8105184835004,47.06899412325728,42.79488022274084,47.282426643124026,48.27791353183904,45.13644406439891,46.480525592498594,50.84841577827288,50.20441897447187,46.72606798783444,49.35624780379405,48.98635876820872,49.09582786276156,45.62326465325579,43.40070976326391,41.420582014310696,40.64606298283036,38.19294535228892,38.61197106198004,37.08173296039372,39.735129872926386,42.11559588397776,43.381220557617496,43.702083722367675,49.49320225257938,46.78155476048666,50.70169580028612,48.34953889751994,47.57370103279209,46.22197885681487,43.622646923782234,43.06257157973957,40.9324226299759,37.24725249608041,38.761409365045274,40.422622007550636,43.57670885048719,43.00070202165882,48.32198695092466,46.41328254863136,50.078935260558374,47.97810395721593,47.1479560009206,42.927488383019764,44.7956112642362,40.8467182595035,42.90625704040148,41.00978621608186,43.73016991025693,42.30915968343628,41.21463465439214,40.391785379276804,38.233769719779495,37.43860503599697,33.557457371881505,35.51908787545662,32.39969306600505,29.701854188275036,32.17754657775436,28.78986544299065,27.89911370507661,27.52482411298202,24.906661242963104,26.917948901866296,23.985411434106997,26.736984896931773,24.12027178619614,29.32823956330592,31.07253132585031,28.567476379421066,27.66847632057573,22.933638940439984,22.832318736358136,23.59908486947017,21.22770048039329,23.959315351178898,23.76466742304339,25.076972859746743,28.55448369654974,24.961155535869384,29.132533232062432,27.94070033764534,31.452588004511902,25.713037448749663,24.207610673382472,19.686283549225507,18.588040858405325,17.322546695260005,21.248759665395994,19.73766526342651,23.962595409350953,26.138774813686414,25.08709580701396,28.393835889139197,30.345477958602693,27.624378330671927,29.851586595786024,30.312388529015664,30.84603115593699,33.01604295940075,35.56399084636765,39.75198823002404,42.055299970143615,42.21827027749175,40.78721411115372,37.57930510510493,36.70700248018139,35.83263052551865,33.15763975188654,29.42126414994179,32.15648571991665,27.068648895832222,31.430988296704456,28.674475180524517,23.521101238460275,25.321608834003587,24.401237309121438,21.729597229611645,19.660173074965638,21.807411048816302,22.62738704993024,27.5973610441508,31.031908116726953,33.98370173486959,36.768332483295666,37.107932272663795,41.65342994108653,38.8068603868204,39.21608367642329,35.60766758433418,33.09102673315682,34.11170981522972,34.44751431107484,31.65384811710244,34.538840646821384,34.22239787303709,36.626678410452946,32.43561741607792,33.381163085857075,32.53906376944267,31.774502206107304,29.715413848956846,27.9556247491366,28.263623798547563,27.696933209601255,24.187947714652474,27.257106283597672,25.919618277976785,27.928207253030934,30.683344960819852,32.312873807142104,28.651764371449627,27.484025028648155,31.83452117064717,30.514182846104404,25.10272191823033,29.204473416602468,34.04306647968164,29.478930714559095,28.946820125364678,32.90803404516955,33.023596585189594,29.310628043906156,31.290052056746696,28.625624517629692,34.35073866255537,29.099557854182542,30.564473592617237,34.75775829689303,37.06723010508826,41.56613165479012,41.42316374092273,43.05584318752025,40.75213697562411,42.91027584135689,40.97001955233091,42.766964169668796,41.02475879776083,35.60307316842022,37.59706271129357,38.59958206738494,34.31024081089366,32.4945395895,34.27082962141252,32.38608991536751,28.92712313919555,27.800545063208784,28.007007938664433,31.879765918736357,35.34312304318976,36.90269987196805,40.09075091113148,44.07175587613947,42.18682520472911,37.594205581968545,40.86065209682118,42.90634623392889,38.36296497739985,36.91186187280355,40.81674950130315,40.21955630563637,36.499127694977744,40.18891872622655,42.235605881076765,39.091969851267685,38.41457944104982,41.58484456090134,38.919868079375526,40.68709294457849,38.95616621182709,40.75269957093882,39.79037775862972,34.48643443050034,35.932783724519155,36.38905052981331,33.64011685285716,30.69137705967976,34.77995646932488,33.147274214082714,28.170001031398385,28.68680100742102,32.35461884644576,30.085778693226697,26.315364591014802,23.320380585892323,24.482675179321603,21.355270614915636,25.700390370230586,22.16019216869824,24.078837037328846,23.64296664934242,19.950780998997693,18.95216837758754,18.231796681390424,18.41637062926147,22.61198435464718,21.242899536094942,23.987956834050568,22.53263226929628,25.522034941027215,30.577383653057574,33.38551310928259,34.833932816630835,29.91427658876632,31.136357267716882,34.98442119657873,32.10750730005668,29.263547439668393,33.420331614820384,36.93505185454275,36.941881982100476,38.44651140137108,38.96877866895994],[33.29391538808265,30.551827946496477,28.665876765402214,23.988825543325735,23.658597219700216,28.446817992820996,27.91688500104721,32.22493333954436,31.905927594854113,30.116262238562058,33.20330287865416,36.76353286827197,32.986848573749754,30.90234576257048,35.49555323868518,36.05716432543133,31.692203000905472,34.047369195596715,32.47791195381444,34.472641079696984,35.386553295822964,37.42555304918843,36.599113895902576,33.67105913172932,32.40542769065628,30.32324238198249,30.10562138520425,29.30824933555248,33.186250500243084,35.62248557737117,39.806185722475696,40.643663170874994,44.90884174400365,46.508738813890496,43.141475206290316,39.43515968582717,39.472985123294144,36.02793777430764,33.627951914752444,37.673566111778165,32.29448408689979,34.69448272581436,38.250216185831555,36.76456324244748,35.555998087356976,33.79802877593509,37.075225571700706,38.930334528305295,36.099234313722086,38.84099020338483,42.882796572035446,44.62620552075023,46.55371810093703,42.3893512477604,46.81828687938267,47.387920143407364,43.96202090363608,45.49295150819731,49.76939367545623,48.78677364364831,45.03081984293897,47.473455937763916,47.17716930896633,46.73354850696312,43.43838184254306,41.53123497426301,38.978740514161196,38.57195635347289,35.65753885868899,36.4033184234786,34.50238133196656,36.794429957231216,39.573541853471426,40.67091155008834,41.59505975618988,47.302162855338516,44.93261512807577,49.10312987567677,47.01857406433834,46.37515296100252,45.59583193153719,43.25838124666371,43.28012214410479,41.340430576103586,37.34565390073242,38.653159670269574,39.630607227688905,43.101972516327,41.77237747747574,47.20915717072004,44.91583061874929,48.264809557832926,46.35091114578436,45.903633530726474,41.83525507395606,43.580096642469606,39.768573286832854,42.41288509277609,40.95555239247007,44.291121734283855,42.626979566024374,42.35311358663776,41.13928540819283,39.76549221914031,39.24658944662452,35.6940500222591,38.221409646623705,35.416705262159276,32.925935324646645,34.961023325982104,31.421813473420887,29.76792248970451,28.88015088935465,25.770927408988396,26.78235959375815,23.453045846711102,25.558049706962787,22.348124008220182,26.861760087417696,29.175245635622847,26.539304522074495,26.224907951466893,21.588262692254464,22.362281270639958,23.990264079200088,22.402605491192606,26.2087288005858,25.97359359113564,27.80415713897458,31.06383782722217,28.2220660122134,32.49061585893313,30.83570682439499,33.94581522696506,28.068443680852177,26.085494487211292,22.379588016852146,20.001983917461764,17.738551770848964,21.421748525018497,18.55591001567536,22.287939846638025,24.54965881722941,24.20700869946505,27.649615945888687,29.779759234188525,27.326038583776747,30.025005752362937,31.15931945362174,31.75913964778377,34.59594934355579,36.83660741879506,41.37650508118872,43.549266158139574,43.17909993504354,41.79329068575032,38.29070060823302,37.94687308966408,36.4474465923823,34.50089813054876,30.396647192210146,32.322309609225336,27.170755182633346,31.48027829611632,29.188753005764916,23.872307870676238,26.57476755450195,25.5591906376351,23.69107994908005,21.101060332516806,23.604626387901334,23.703985690430063,28.70125286863994,32.03259216713388,34.76683071348769,37.809203294565364,37.593378702764554,42.435390223922646,39.44290017094155,40.322556420365274,36.653086935457765,34.76883408424274,36.02111466167253,36.32197525514352,33.21523534760608,35.26343665154793,34.27396501307054,36.80385814859605,32.30782560111729,34.053619556827336,33.625864104593205,33.136983759322014,31.74424492270028,30.428010974202852,31.246820214841946,31.28535750275822,27.931765569994113,31.299529830487078,30.336673043683774,31.92759918159335,35.169829954672565,36.431477034838956,32.59277666282999,32.0463377932912,36.40295954596287,34.67556810872539,29.54528578960495,33.93013984653098,38.44549850899077,33.587343103165104,33.38093626703053,37.370385676356825,36.989027998597315,33.26377560605522,35.66702279913314,33.2714726209849,39.111899533357146,34.32338582965161,35.69501053364304,39.86988261828561,42.40132528748019,46.865272984129625,46.83628854376162,48.30575538809693,45.90579715708276,47.93626528734501,45.721165290382196,47.642474173347956,46.16244620495992,40.5812637346068,42.357309815100415,43.59970859193355,39.44298283890502,37.36370330638877,38.94091595651691,37.44156022970541,34.08734087142644,32.369084316685964,32.781510056461116,36.073938187183124,39.70702187457287,41.388942579930934,44.279644778223485,48.33338422644127,46.0527566908531,41.65336847690896,45.15803763224268,46.83544626257121,42.1115688320078,41.06115150571517,44.85671901369598,44.00153449976326,40.48379564978515,44.49249811344539,46.30226514398896,42.92711215481191,42.71613004036262,46.072645894434544,43.59304991337052,45.42322541714243,43.58545544970276,45.63566805280581,44.8075543215644,39.353616101552575,40.88775664155276,41.615082366842486,38.84952647786519,35.81784714781898,40.10586633704622,38.64640189217475,33.571993405444914,34.02271717107638,37.866554248660755,35.70330164480596,31.901562892437873,28.790423444456103,30.10520600726804,26.837978830683458,31.02605323233445,27.210966881337775,29.01134388327367,27.97169034169323,24.491229393157106,23.82300676567793,23.545717697894506,23.61894569649634,27.614283669556865,25.523091353610386,28.024548403756864,25.856137347152547,29.067883592032036,33.91280702332486,36.964880166999315,37.798038344105244,32.89155318179462,34.61072044844907,38.12384781062104,34.568352282261266,32.16970012691785,36.67995304606205,39.826589536969145,39.4529193743478,40.66026151554517,41.00799041093958],[30.304062151623672,27.270589598914245,24.65198988140992,20.244570552878802,18.739212417950114,23.846056616105717,22.97466809057999,27.093690944891435,27.291957032853112,25.493418209449846,28.798774569090412,32.03562456534054,28.024082382755818,26.5876581439712,31.098436018681042,31.273214380847893,26.954933721543025,29.584112270834954,28.545689049457163,30.039310591724128,31.450077183647032,33.3520448713075,33.07589888802036,30.384555714161625,28.491024844923214,26.392320739630055,25.49197636105811,24.493591162680477,28.25115507010808,30.417616461760446,35.18532784724476,35.45957967587552,39.86110509279962,41.580447515054665,38.008234080246304,34.45865573064244,34.04868664532148,30.82888287509197,28.36352416090191,32.348757184481286,27.333611693996524,30.077357026352335,33.70820009208497,32.11668927171542,31.28548319529518,29.325537634804604,32.899041707233984,34.463091042690586,31.1347616036025,34.08571069497509,38.08049359923153,39.56654934853246,41.55698994526353,37.16037119860233,41.59583811441665,42.49529022534882,39.19766356777231,40.48794793148923,44.85960488380798,44.23634256022462,40.59386092193462,43.118765430586386,42.728325142598834,42.818507609116715,39.371331078372584,37.1370507184152,35.142205536083225,34.42798063566374,32.066513791620174,32.66800197023185,31.19946952044796,33.97292620773175,36.189479805847384,37.2622553939947,37.578202638548476,43.29474342832376,40.54085632458302,44.51381935709147,42.18533494215199,41.43935011397345,40.26692568693828,37.800643175676015,37.50498996387043,35.537556097505316,31.66202439766853,33.01886902693156,34.3982477129967,37.686675466338805,36.862241334651785,42.26914992578146,40.321476645158846,43.98715995534157,42.02823889257388,41.36910365535858,37.29308173868047,39.32696379863897,35.54498181915384,37.57386867912986,35.95592284425259,39.094626036159234,37.17023826765808,36.60324679562218,35.29839354444083,33.738648514549055,33.04240315263089,29.525995669168108,32.06658550168565,29.30077455442402,26.953684292553266,28.950642556784548,25.598100718999998,23.778239962430835,23.272309883076097,20.05415429717273,21.59684825284795,18.346587945813322,20.765257999998646,17.920945902976403,23.122450963437885,25.010979619300837,22.676863961397842,22.052351253441874,17.3592999486939,17.66040034090451,19.096223468417968,16.746514712286846,20.709947138627108,19.99389807572774,21.755250548920596,24.867348063583233,22.22054915354984,26.524454362333284,24.858381831759186,27.785407432872606,21.927913195691172,19.858116934318947,16.260288489900816,13.799757068012024,11.79924490084998,15.57560312502496,13.590043470412688,17.885127810669935,19.902106540305535,18.98348146822757,22.357396061734416,24.401034638353305,21.82193205478623,24.413359252738324,25.333346172563623,26.227965104949003,28.93126132979133,31.566214051917324,35.899635518836334,38.530974167678856,38.112952395390735,36.39490172381656,32.88954378818556,32.22469023390314,30.781628194700655,28.488917813247298,24.340740824601614,26.54843972379321,21.396714951384116,25.782325555934644,23.430943280189002,18.37326077196755,20.929683839234883,20.47861572222625,18.354789794344192,15.439405806674408,17.665476481390513,17.6619747442354,22.652681457973213,25.97371224808258,28.75165805020646,31.732051349179816,31.742477416439304,36.45308851131309,33.49108452246644,34.235704546445085,30.650171865465914,28.564823623791742,29.923553095316194,30.402688025129997,27.29782937737656,29.614655940728547,28.798904995650503,31.563720391903555,27.44819826068818,28.912428532671086,28.637146664341998,27.68837215767358,26.298518347808102,24.78616254009066,25.630811057947817,25.864256130946824,22.354359410217256,25.762438977242045,25.035924910260146,26.309342963391583,29.929961722116577,31.010108545181026,27.16066407957527,27.14104752758567,31.543443186806932,29.794252152261475,25.145806968697737,29.69807114575299,33.98765504114301,29.464322151962765,29.7064371633177,33.71450486642579,33.21658505462623,29.997814593755663,32.77123295377911,30.318846349988657,36.04246418101541,31.608855812636236,32.28439986495943,36.42808201714511,38.86070856495217,43.498544591427,43.224767383961655,44.178220169001605,41.4883799466906,43.22571143856439,40.64836522991472,42.69574516149311,41.62074133263327,35.827035895227766,37.30460754386286,38.96399585696424,35.01106336361385,32.53532425969938,34.032902353881795,33.20939600783338,29.86701199338809,27.432318748671054,27.837124663922456,30.52776738527533,34.26879676073336,36.06797908967225,38.700476501227236,42.85833816768603,40.340690643449584,36.078794573124625,39.89338080036737,41.387991509472904,36.62290810330022,35.936625988424886,39.85250183010604,39.0407127661436,35.76159664707995,39.9004071339809,41.790912245770215,38.64686696589062,38.635517198012025,41.970373229158604,39.47472421609697,40.985912860792055,38.79847375033154,40.959310894978636,40.60339994124332,35.030308307817116,36.28763914885485,37.51061480250479,34.93629953328602,31.507260348333247,36.021721904930104,35.20176488115371,29.965810414324682,30.017692163382346,34.36004410255336,32.766685638878485,28.890414477471527,25.787104862543668,27.975685186558554,24.994155616172492,28.93900516431334,24.83144272877009,25.72182537402434,24.516476701594485,21.797441365876086,20.609494509263353,20.659462188492178,19.88661273932359,23.350534123821916,20.57680451168863,22.570651303738316,20.25928054546861,23.93315121214691,28.420746698730397,31.67668326234006,32.411440758046304,27.66213331246742,29.83961090959301,33.3297717403941,29.680589053193614,27.83884738006323,32.50319041799099,35.52715519456389,35.057569651859595,36.19990322555883,36.39128644684796],[31.847722381758025,28.64511115603162,25.670937056670837,21.88426688354479,19.922413519901344,25.649495529187114,24.950291795960215,28.969768503004726,29.673093660903085,28.038058548071238,31.459940617698273,34.45665405481584,30.327977874218107,29.322535059613806,33.711329640994784,33.609036519139444,29.27882898250139,31.859523210186147,30.791587737795975,31.855545304751402,33.22048824307139,34.717742054397135,34.515976448686594,31.69114575317154,29.77746474164615,28.129519643830797,27.047277997616636,26.37281167241002,30.187959425166564,32.309846944600935,37.461032821285386,37.41269508999106,41.899834478718034,43.5502499725737,39.78312201071743,36.261114308660005,35.572871289727765,32.19833824890295,29.46197771731592,32.84520042446581,28.019410093768162,31.239280153559488,34.58808052315757,32.669345433362146,31.601213719135348,29.255107407733586,32.67506239749193,34.58751777584081,31.13074958871377,33.563261234357384,37.847361044577845,39.22814069292602,41.52633382694923,37.36328524692351,41.869918450143196,42.80604295734499,39.77085667091212,41.25331060705925,45.55829752766354,44.8168156739827,41.53001174977335,44.39634252339485,44.24888232803339,44.379770067830904,40.733026625026845,38.622261138907405,37.09062095949634,36.54553609613943,34.52537105640654,35.31379234857183,33.9920721348666,36.88737893027925,38.905043989379045,39.71897426779226,39.903575247047996,45.459154700658694,42.38007165591973,46.31979808732345,43.73104999347866,42.660822325892575,41.36116099211182,38.53518173661558,38.21969688831774,35.81980847030419,32.11631223059674,33.92203921000352,35.53643286743859,38.951035584645616,38.45373139719298,44.00667382153941,42.35086646071692,46.20068395809452,44.37273610676464,43.708621452853,39.71885616981884,41.95046322293944,38.239260254421794,39.87593830321552,38.16876637917539,41.09286237674376,38.943223778461146,37.99711387671307,36.55330601947182,34.65357142720441,33.355442827559585,29.93030736715563,32.06255180430989,28.939365122997803,26.825092271384154,29.261670116029936,26.29973521483277,24.721360832064782,24.86503923526812,21.692030933975307,23.795345001864025,20.612900512661408,23.023846172586616,20.157907060085293,25.4512079554061,27.46909598836025,25.42016516302885,24.830074884462913,20.2084005097973,20.305246657798197,21.503482986924578,18.44146301077787,21.97889247511,20.784976909940184,21.98678572180218,24.793780991271664,21.52092190411394,25.56329687594178,23.72658684291018,27.165393931238896,21.291686161559145,19.93853971792291,15.999275978337126,14.321127322917865,13.053772271128913,16.64161239776854,14.840155748483753,18.86031907301306,21.373646252460208,20.40841951084402,23.503737635151282,25.919801832697196,23.428576522192987,26.06545397411974,26.735692042082725,27.979246698601468,30.347100188504577,33.38206403239855,37.42121328089581,40.37629483901006,40.11676059303881,38.16753486566844,34.73642963804644,33.66055030810899,32.35640946447545,29.496711703056295,25.190173726999667,27.647028472831607,22.221447674062873,26.370465927477476,23.37698281345296,18.013710780751786,19.960328594205073,18.940421005619704,16.602267038623584,14.356303074875234,16.79986899022771,17.62739677479824,22.631663833256592,26.177137056460342,29.276592679177355,32.35201688574865,32.86895617865949,37.24496612081319,34.0226534725354,34.506234148684754,30.581962269408546,28.63627321443755,29.331724156101345,29.460309185318792,26.54636083525058,29.119229764406878,28.77565614778366,31.02598979850865,26.767552366796657,27.810443401436547,27.088680143229084,26.41645348197071,24.646807398458776,23.182362512701257,23.892722587256685,23.907138829803703,20.730906151263497,24.262245902385267,23.752008833201966,25.606753847031264,29.003279851429152,30.59306846329225,26.965886558159127,26.540304643160574,31.03175615919712,29.82650961315912,25.07257011772641,29.34949546720124,33.974241868432635,29.88181823833949,29.89442961061206,33.87722187612634,33.8516897043646,30.7145771761958,33.1073323018423,30.365902031733974,35.94020295643294,30.89144028361017,31.618501091648486,35.79085395868309,37.77507202564694,42.523987113105825,41.89684120384059,42.95531466197411,40.20426308891432,41.88269056111093,39.46034587839133,41.12325651365884,39.96041395753296,34.38621114834559,35.75105319961582,36.98544506219897,33.07964270892095,30.74759884678529,31.997869140950048,30.857324368949136,27.73333612363039,25.38392088980944,26.30596838452504,29.27256501393752,32.94334414773537,35.04945821329376,37.88059746160402,42.1771500402608,39.929825770028444,35.556764837769734,39.461838098795106,41.27926158144308,36.67302583173687,35.83522162991902,39.976234809030544,39.45191400116966,36.08991839151064,39.95298985452441,42.1308718104592,39.279589777618654,38.873790101239344,42.00025689744348,39.27206046224965,40.55980412189921,38.297443310666196,40.09985905115249,39.84506215683585,34.44109805725761,35.303323715488354,36.338368101359954,33.931685327400885,30.333689686552876,34.42521820105748,33.64044401696135,28.60026507920988,28.271247911581103,32.36729208804042,30.872526916732145,27.14292497350394,24.499666321287656,26.27851218316509,23.750073427319528,28.03596994146348,24.39768897356658,25.369728322323194,24.85080016225366,21.982417802436245,20.33640210008866,19.739295111895526,18.792170215806305,22.400497545497057,20.298637798687285,22.086908521447658,20.571151031947824,24.436415251764352,28.871186777723263,32.066406619158585,33.25218504907275,28.599325301346774,30.61147925032716,34.357078262930315,31.131797025138017,29.193508635822887,33.63644676572927,36.886075489377305,36.63219737056895,37.91735459809003,38.13632927349127],[35.43362460145527,32.32528872030804,29.534220330661554,25.498845849971172,23.724836717822722,29.18841640465769,28.258486007123437,32.23571753443667,32.60865943932419,30.57897019977275,33.81236694189635,37.01917181633082,32.648608713343584,31.341380175866604,35.56187036590787,35.525559157394916,30.961125991428826,33.08111352454853,31.360914478066928,32.56142890503157,33.403374293170835,34.775157136812304,34.13897636396278,31.05666062201887,29.638346268904666,28.258680650170312,27.726833348356926,27.536265081356504,31.6246370760728,34.17776375472043,38.9845321077459,39.43191306303436,43.84733021381651,45.14664934587064,41.42470986697967,37.6601600754551,37.39341540343307,33.49359638478652,30.659848792032026,33.86996042888863,28.660054594371193,31.713021258148164,34.86595174013367,32.940834996881065,31.445070305052734,29.23075062382805,32.3603370282492,34.58829279989087,31.62597391481181,33.81600715530364,38.15638011606311,39.82682082008777,42.0671054930984,38.207396746200125,42.71844155382923,43.277675672648826,40.177540458191324,41.99470357396222,46.16664717106954,45.00504669183064,41.733516947899105,44.693966088519495,44.79638086200321,44.43793211174516,40.79665685879947,39.07335807266444,37.33345894759635,37.24418924866691,35.01942812381089,36.21747771255616,34.650305026523874,37.3086425381505,39.570372156819694,40.07499554389069,40.71836821082527,46.10937377894437,43.11263631623921,47.26334186257934,44.73248897090832,43.551285635821664,42.67803836167837,39.83187201790632,40.017293667590344,37.48538310819248,33.6388526240215,35.57044492223551,36.73218010244543,40.51642069044428,39.570074674295576,45.32939593799485,43.521689313088515,47.21812357142495,45.62648972976479,45.279300079711184,41.45189687635165,43.68526023895652,40.10528456257662,42.01930884499281,40.59885984900705,43.871570565669046,41.44904562830575,40.91884784763426,39.12079576687327,37.62821240720785,36.20838017911015,33.091042214212294,35.37464433145898,32.286831045768594,30.434827198783424,32.79807775415226,29.91680873662902,27.981848275294773,28.029437172695275,24.55068763655318,26.139566545939687,22.663952016487055,24.541027336794624,21.106980573371086,25.865068996175822,28.497655173161448,26.482676588088452,26.39707882722345,21.85142020942122,22.548474681405423,24.274207409039473,21.535306418506597,25.56460504798811,24.225874284682796,25.512155241528202,28.004613108884847,24.933888012659605,28.81731312613343,26.576894401369717,30.00846877837411,24.11195537394358,22.839799259382104,19.389678584711735,17.184773747665243,15.42968671596784,18.687343387301375,15.667775207602274,19.00525113352656,22.00268828653389,21.6892872670161,24.73683627069197,27.560012898205557,25.35123017068373,28.403584987218093,29.471472601867905,30.90592588432983,33.58275973549268,36.55417392580561,40.71001015351647,43.679061953913674,43.155158017047334,41.157869047188576,37.55869251447885,36.67688986849934,34.99177579156795,32.40012152123646,27.750402201579348,29.670040060255126,24.033419978217676,27.96092428840207,24.95922627592914,19.25703103337276,21.5889344482577,19.98372668382734,18.34112217159197,16.234473447616644,19.10188944624126,19.8228059880084,24.787635347844894,28.359070652745288,31.462508043561794,34.7965356054667,35.164116299667036,39.56933200453005,36.067821959255404,36.771227622953255,32.5828578195049,31.274748328352295,31.704080194546282,31.536009828335132,28.531408082781343,30.5101590825846,29.902945661557403,31.838604836855122,27.15825613329571,28.63275795445618,27.912373389315096,27.78347144273253,26.330924733859995,25.337582914922645,26.33990211171769,26.623226976359486,23.883794586368726,27.601205067451204,27.404491784441923,29.35489421115151,32.80953918247429,34.47416190553341,30.879462267914178,30.496678237057562,34.99855271573292,33.83883436540273,29.08554789639466,33.335380998865716,37.99318763006001,33.86472719430515,33.8340856988198,37.821042831288146,37.78062173746615,34.541848364001645,36.89525844428652,34.161584682438836,39.767793386528375,34.54527211477865,35.44418676593216,39.628607884433386,41.51650591613927,46.252623178802004,45.552853478817184,46.70401836157629,43.94136119649123,45.56989335834454,43.166578049902874,44.63489764138904,43.49346160215487,38.04055344698359,39.26371911194382,40.27599233064308,36.46402202477241,34.180528454111226,35.15627220761792,33.900172324516724,31.012228064005008,28.57177909009494,29.91319714906056,32.778497314963694,36.453649919868354,38.773229648875216,41.566984269337595,45.94602460575887,43.66143756965344,39.345201575773324,43.36486448159244,45.16476102464234,40.5564195629497,39.80944127961107,43.967481946804014,43.4308543915356,40.09838394305995,43.97268122146697,46.14334683758594,43.25687470770784,42.872188457885045,46.00213242142482,43.261453009774705,44.53935646472816,42.26017378516203,43.98247336447888,43.75090907599458,38.394734207537866,39.1600805688428,40.11928572421258,37.754101822372675,34.13925378422602,38.0250873695975,37.19011954411686,32.27019259570396,31.812063701242405,35.69560457339102,34.159964412684644,30.534959423784425,28.0783692025849,29.44181613467828,26.982494058559418,31.455618049575673,27.98239949111904,29.20702304900252,28.729694484532935,25.670350191040768,24.142987543912227,23.378428677122006,22.583021321087283,26.289834873698226,24.304564963031563,25.97112905551869,24.435495540377698,28.385620679000123,32.733500007863476,35.99452868258056,37.04550448772924,32.42115735919339,34.55242030083471,38.22942302122203,34.81434298102746,32.97661960899879,37.497527491813656,40.67464636143666,40.31874274574691,41.507524005544674,41.661267551081146],[34.43915239311846,31.405177358081723,28.603170877797556,24.18574293723874,22.145554125060286,26.975643964325982,25.503654744562223,29.29299542356799,29.33663822865568,26.882249242226248,29.94756375019047,33.24864315430461,28.68598190660185,27.248792455071968,31.31081118868194,31.298654678605942,26.64751558800993,28.618026141187677,26.815857990308093,28.160722983969507,29.021858335914658,30.611639884190133,29.998403193787098,27.05039731546454,25.535014289045815,23.88562744272441,23.44301489819505,23.18238505980764,27.311380287798123,30.023771701109254,34.592934648531624,35.309135033767575,39.65745300366702,40.84293870317296,37.211563777280624,33.373062437031166,33.36110665964564,29.398911081284158,26.713005048766696,30.341929119123467,24.941494725025567,27.652330984105575,31.009742164129786,29.34221085459295,28.08808389052079,26.21763018643993,29.558112500941117,31.39876593388572,28.519194271531365,31.262896445084994,35.303798232604194,37.08211771821079,39.01067976134099,34.93247612103411,39.37307457457076,39.88877534126627,36.56972116038203,38.23543122103019,42.45325868100662,41.398688047698236,37.846804198268316,40.57762630246791,40.53634828263281,40.18406725946224,36.64416448114087,34.82801117348744,32.881521456562915,32.73650980705302,30.4383314190101,31.65911191283486,30.086083532601045,32.768344185705274,34.99112508821323,35.49882017736338,36.17067436575284,41.58767084972923,38.70655054742674,42.8878340405246,40.487128433683246,39.48040033627164,38.74824425251674,36.1545874090346,36.478858736991796,34.26071040619632,30.23696575609682,31.856290832622772,32.75467769100974,36.538767271670345,35.31885842149242,41.0447322503567,39.09676527404861,42.71465525985955,41.14096874283238,40.88223991812194,37.11588939350449,39.352709671085535,35.86255771553423,37.893697868674714,36.673190025093106,40.233563724446924,37.64798843975587,37.57016449211394,35.58315763434965,34.579712187062285,33.50167217242227,30.569396475213125,33.326390280898295,30.62804414555531,28.871855690726576,30.75305875760339,27.76807002137944,25.26095743882286,24.981397053897364,21.21194778473245,22.25649701804056,18.619672432088116,20.20865747263454,16.627209017426743,21.299318961585282,23.978045568917533,21.990372332500268,22.091323614533785,17.657031980274585,18.705021481076372,20.888420632896075,18.512614072059925,23.26369106605634,21.85286747115448,23.576559160368856,25.953902871561883,23.730488941828785,27.75354943836246,25.389800289211625,28.20713736925041,22.330513827329796,20.4400866699912,17.769776016062053,14.519563334281083,12.06872077361402,15.11592126140096,11.582304825849983,15.044476223071237,17.754964652671728,17.586146839676324,20.77392999857977,23.496842081299807,21.37492027764651,24.60957557665859,26.041129037953706,27.528512295772288,30.596134439548877,33.41384744157495,37.71799587725407,40.7000641157535,39.80782136609045,37.76730202890107,34.01091694544495,33.42203070888909,31.37821534157233,29.27044905541145,24.50563755951486,25.97734750930154,20.461624525012123,24.477635998250822,22.041731775466282,16.583366298196367,19.675389417566667,18.71308110262322,17.497924478102487,14.563656220733758,17.31401867910747,17.134187028503586,22.036075783638733,25.40182325761231,28.231561734309096,31.607891944375027,31.559830949800332,36.18156059052754,32.76106870338412,33.76955664122875,29.78894651898715,28.65463399350744,29.600181163878737,29.708405303049137,26.45285969237546,27.986791721206977,26.8547512910681,29.289076045125977,24.762393557235598,26.745742363884947,26.614407040858673,26.17632111158647,25.30681404482001,24.402700560824385,25.739975413016946,26.54528616393152,23.63551147265214,27.397491386474535,27.381084371530477,28.65056156001614,32.60192299081568,33.72588045592034,29.97710878455028,30.350692831587498,34.78734177782721,33.17498582269976,28.89871422744927,33.44099900813941,37.634608879021634,33.37537333584092,33.81948837290609,37.80679010153652,37.25947202982827,34.26112090375844,37.14276435428522,34.65709904836951,40.29788651242515,35.7924651144277,36.27833272546795,40.40472213468802,42.57760678140999,47.312000680256155,46.73865305331209,47.48985165810762,44.58027552029619,46.02866401030885,43.23648290725142,45.04112145025483,44.28156884407455,38.545439533416626,39.57664642132905,41.16034797265595,37.49843823057998,34.82338696913026,35.81556485353438,35.280154778254264,32.31852286945293,29.224953048390688,30.339488651612278,32.45388569095102,36.273423844447,38.525043707079796,40.920996927004744,45.28840133990981,42.56291917911279,38.49835352081171,42.71621245464846,44.06958408782562,39.30916197677747,39.02214100258391,43.0476290638785,42.274975202901075,39.228702509526414,43.42360416087656,45.36939406897438,42.37220613790441,42.498637201182085,45.7879478242862,43.25646682295072,44.50912090793847,42.05428241521133,44.13045634564046,44.14685701562693,38.60192501643704,39.472494602095914,40.90169338847573,38.54345208426425,34.8067814753468,39.1130308074674,38.65598885726129,33.52129933445004,33.060902318608704,37.40108073654513,36.139738647723924,32.3842547258681,29.625611868778776,31.71029905581127,29.067069219846726,33.16110080375526,29.199980768262666,29.896869857129925,28.763903273867992,26.255710877052547,24.857415245372877,24.747478922344715,23.620949227126204,26.876064197767036,23.956443033517548,25.317443462433307,23.049360474248406,27.174057783093968,31.18295314877453,34.65361580420888,35.133215208338065,30.622351993813304,33.27255998712182,36.61612708498342,32.68090972253037,31.421694069438068,36.221380342892,39.023078291800665,38.34141951653441,39.274230189852915,39.24274735021852],[33.12834173042141,29.839603877781418,26.393028808023534,22.781464221123535,19.75167611614205,25.22950915714451,23.83858309285688,27.40699889290096,28.289002565437258,26.194166415908214,29.521806710140158,32.32016485259941,27.705376832040777,27.14120196454373,31.096136806979224,30.61664715858256,26.155914969394853,28.44221344735633,27.265481682634757,27.861150952768728,29.206034973310107,30.393617941178256,30.370793654603272,27.6057197923952,25.500967210819386,24.159748181204183,22.88069288074868,22.565375576207206,26.481745248645023,28.761769695286258,34.114647690978515,34.00000078657616,38.505414787841836,39.861969319924555,35.94819136518652,32.362708404722184,31.64704964181205,27.948128017491747,25.03409752716762,28.12165573992875,23.329771716022943,26.763489924177055,29.964216942399645,27.9466209658503,26.90853913397784,24.494540371755818,27.982160995752853,29.820834042717852,26.29342461990619,28.77817289387106,33.034653753567646,34.4279712430784,36.70582019129342,32.57487456232615,37.06194284710815,37.976784072688794,35.01851377750832,36.56006013602424,40.81901436673291,40.05885352220426,36.903349172715615,39.9251422628925,39.93065482199574,40.13582385521084,36.364072707452515,34.30695602717625,33.195835646695905,32.80987272959075,31.22759124050086,32.3011390091571,31.215006911593402,34.31248851472168,35.947214818722315,36.38350917101515,36.39465352883913,41.7173730254681,38.33505765690316,42.25404298392534,39.479032028839875,38.18396669774405,36.919371815707606,33.94090855255006,33.83247140216504,31.25777192964435,27.530933614765107,29.539570985199273,31.099278014707004,34.70355800362976,34.28166026117995,39.98908820377053,38.563978624687614,42.556629443618675,40.96225587091806,40.432706171176946,36.67781127537864,39.20601842652166,35.74713766231484,36.985578090790035,35.471728844940884,38.559471121181815,35.788101245324455,35.030344917926996,33.03807818903106,31.45249866213644,29.786277893732215,26.842352464044545,29.189751105248817,26.199345127181914,24.665581963116164,26.908262475566417,24.371959736021083,22.11491487484881,22.682944803668473,19.06446597383846,21.14292805403585,17.837718675502394,19.832819279318134,16.85933705803618,22.13206376929753,24.302570802145752,22.747128147002346,22.43499470987819,18.12258379331861,18.38682349395484,19.94336949803026,16.42269354052466,20.622194917455186,18.564076113249495,19.701706866575837,21.77567133967099,19.093483104666316,22.940406677905358,20.522470291137807,23.67858035293644,17.784568511189022,16.476735875490082,13.501646999280217,11.035969760546822,9.757796690084987,12.748593904051383,10.739746186656625,14.503378887959759,17.23579597027662,16.3214343036523,19.158666619705418,21.963859399691923,19.738682438875752,22.720441643517308,23.607053928962813,25.481939118188354,28.024486556891677,31.405468989138495,35.2700766478822,38.73384753596086,38.08081968669716,35.70880476685224,32.114703893326414,30.9102112908506,29.200775022928806,26.27993950497838,21.498707084943142,23.606496312588245,17.942565551054518,21.862585800721945,18.751725799537482,13.262832001236664,15.517367020056199,14.633108451091408,12.780301332758366,10.09746028890174,12.78363690553128,13.39008863193644,18.3509438076019,21.92932660194104,25.095435995479598,28.4131585380235,29.02729041807098,33.24844406660964,29.733225508416915,30.32674522348978,26.18474007798801,24.796596050858668,25.305800067103615,25.320970054311374,22.253732459464352,24.453068846287998,23.995828649614385,26.230318113096896,21.971261428592292,23.184665387742072,22.73242248602841,22.018466017866274,20.693424145325363,19.541807535826358,20.710797530486122,21.410128673534246,18.588103651367728,22.415127353178594,22.67392425748682,24.15973769302469,28.11314436478123,29.501927963422176,25.960083734122357,26.319677801718072,30.78278750934682,29.59367840150952,25.590435753486794,29.934884002967465,34.19085424889609,30.516140274461318,31.027578930928218,34.941294448717755,34.709025242431395,32.103734101275215,34.84823763397657,32.159381303650655,37.53228303647836,32.87905841943604,32.9793058613523,37.04363154997483,38.8299318484181,43.6922892443581,42.751154983084284,43.273318793080115,40.190360230827835,41.43676700708315,38.57738953376669,40.200297357079265,39.59815369058161,33.923619962017234,34.723142878044534,36.272756047607935,32.77328834417525,29.984712457355876,30.795567822472943,30.470985399270354,27.667147395367266,24.237627976756844,25.642163201002838,27.588816405621646,31.391928297639247,33.883438906419,36.28730488769549,40.77845385146483,38.16680270195474,34.09071993571172,38.492758974113514,40.00522591021744,35.3805694089776,35.14508981491932,39.378803240950276,38.87015102891102,35.89841402888719,39.901918271843265,42.10346872477723,39.49242296745625,39.401102420842165,42.48551640035283,39.79284199110421,40.697198265482236,38.02313613099917,39.88676883360741,40.2283008112662,34.79425479453337,35.22504655996064,36.79308168461441,34.684825807940065,30.65591508838254,34.76746749402226,34.71576007573427,29.692785707099127,28.75774714951196,33.18773062197865,32.35173275392731,28.713111537037648,26.31595920334604,28.637609809944585,26.51888309892028,30.557916994640436,26.836740691576264,27.02586466177935,26.32300780901512,24.230098857726823,22.252991054341493,21.919355347752163,20.185113926145018,23.072049786782383,20.287858224880036,21.135782942127136,19.473089975942763,23.939872327818428,27.656039589265774,31.134575130130532,31.97190952324537,27.666978168121293,30.359226721262907,33.88194055440328,30.3597198693003,29.285371502224784,33.894998387357624,36.81356131705114,36.30444357035632,37.35459574895438,37.299765214845124],[36.531258853448406,33.19918574811584,29.752630209711352,26.404171386833372,23.546210026883326,29.37304381513782,28.216879050312468,31.81373284807296,32.820305030798295,30.7743719736743,34.094101995687495,36.88550863123322,32.21286055504035,31.657367396787805,35.53497786687918,34.99434932050762,30.456046724198842,32.482736676801565,30.911213039796305,31.356729824476748,32.31017005996692,33.11941420763564,32.82973583146519,29.78100402951734,28.06899229279887,27.25061945516594,26.251168337250743,26.43169650331698,30.485038996549747,32.928819844198365,38.27935958820969,38.22618239452541,42.722778815242705,43.87347852280839,39.887944020292444,36.21991871862654,35.54788683114835,31.50592777751187,28.375013010182386,30.805999021745887,26.003690461877753,29.662440149276126,32.46090055370566,30.167485069033408,28.59982034737294,25.929022311994775,28.991416999567118,31.41269830638531,28.160159860690268,29.886408154254262,34.45427157615125,35.928783483873694,38.46661480318869,34.807498239248304,39.337929313440405,40.0287257711879,37.287704049896014,39.215413164268085,43.3001908060991,42.15170146047662,39.3404355150799,42.687038104108275,43.04004754306554,42.9417614662259,39.04778513871454,37.363089058779906,36.427474041927105,36.44001810783886,34.902098268991864,36.294842768607054,35.10924569751962,38.08405275794164,39.814308974622655,39.946079284999605,40.186355634277355,45.2985665226844,41.78800019743959,45.794849740404246,42.89162680416826,41.297177053055506,40.19558665851829,36.935082115549356,37.08694795990319,34.0881049146638,30.485217922071136,32.9210942382135,34.39369223690491,38.26699966462986,37.829700583150675,43.71371167679987,42.39240639449914,46.38492049787111,44.99395348573145,44.62339071857873,40.99291850011897,43.58524308203744,40.201731958526445,41.40726074759187,39.9472184363449,43.00703230735347,40.07861029479956,39.2082759895834,37.04909010580836,35.34960577129541,33.184833627260126,30.43057365921101,32.40469644156699,29.10978040506256,27.82254391790448,30.437507244419272,28.1946377388503,26.169741891753922,27.056587162031164,23.49219556933722,25.658709839972733,22.31407387000323,24.081149268793805,20.82446222775452,25.74774840444097,28.333189512989502,26.87702069526254,26.807994729990487,22.51642761365322,22.934544177150965,24.497344050384104,20.87510323685596,24.753961760204465,22.55210267405686,23.262557317818064,25.03102284617322,21.78885122995346,25.231863860692062,22.567521772164305,26.248756582352005,20.47793536321847,19.954266118698115,16.814378487011886,15.091463115768375,14.152260031291462,16.823522053501158,14.32669774674381,17.2585464939092,20.61823884237515,20.11197742856312,22.666706931811067,25.889434822357675,23.885687968863238,27.004601763161247,27.85423608799017,29.905847675980194,32.28435092859115,35.814579399388585,39.53931291669154,43.10755876116262,42.544834954609975,40.09348054786858,36.530680505668975,35.15472414510483,33.46403111207234,30.284283970401923,25.372984414306888,27.410109783168213,21.565753589187246,25.075487492730307,21.43636010315858,15.614133379651317,17.30196582711884,15.256757193080896,13.651754567505563,12.168905473048982,15.207513290524822,16.63446992892441,21.39317487631468,25.105293152067304,28.49553222853463,31.95101173498049,32.89024460676895,36.82163047487548,33.00213573707916,33.45643387052431,28.925454675218933,27.981366324556177,27.69387033681655,27.163332856122597,24.32728646637969,26.426462486537307,26.311157589050076,27.749681261445787,23.095507146390478,24.096406884409145,23.069956787621784,23.114109744521816,21.494193934299908,20.697675017009846,21.796734124085617,22.270192411105455,20.101764846181446,24.025347149016074,24.5040162156632,26.68164298494322,30.247556751840488,32.19359564046679,28.892224195687195,28.684013018201988,33.19001985917964,32.513715405103454,28.237459919472947,32.26708230847393,36.90664877461367,33.47360897485074,33.616387464880276,37.50982148304282,37.723515772491425,34.97194313152176,37.26907971023119,34.344277753376424,39.64124639398759,34.26983376574564,34.69164589198231,38.79109003796497,40.15653575535913,45.05396541755834,43.82950979318537,44.64467797308833,41.599703385502586,42.86248788391588,40.29592168248348,41.41904832707271,40.60770712639261,35.29366794099346,36.02813771579015,36.91652397981409,33.45589183240926,30.982525190205347,31.45604008611832,30.534927910542702,28.067838091064427,24.966621698496827,27.039812110576204,29.429834487782223,33.087012587691845,35.88850215643554,38.55068668670176,43.139845955668,40.87432151497695,36.68394730570091,41.069782003975625,42.94006318284629,38.49460785084061,38.010400708177826,42.39895720767785,42.13198196492121,39.01002374453482,42.71809647149589,45.14822713646402,42.70669861116252,42.20161769644263,45.106817543891474,42.20528347334909,43.00695002997475,40.38505292479305,41.84111021127715,42.12711096689571,36.92012355212891,37.044676737532015,38.235859535088025,36.244455807888954,32.20074668244846,35.73877366551679,35.502846417877485,30.779895167444298,29.567375787574676,33.49375900032524,32.57481683987126,29.15737657833761,27.2672440244926,28.79243374068617,27.04779853472756,31.52013704802305,28.350309744341725,28.98103435593513,28.92182265074525,26.377502939969233,24.2313535260994,23.194132121436795,21.652105117186316,24.8768636210794,22.99988395360289,23.859348455553764,22.948111806551513,27.35566576427778,31.157233621355186,34.50531916964194,35.741109482639544,31.45965433684621,33.85577500841129,37.594466098795074,34.410151848780934,33.048064429285525,37.45900885063148,40.610270551866805,40.29618221878358,41.472780675429576,41.48827141294656],[34.340620273888476,30.979040438092742,27.571402496089306,24.518860636904478,21.919319407529724,28.100154736861953,27.433563808428246,31.208695530409784,32.44778841710422,30.888555914540298,34.37911012797533,37.07687063197832,32.759783051119484,32.274797857213976,36.42476554405352,35.9656682204423,31.634798382059753,34.077607068807026,32.96228834516063,33.47574042532954,34.765128490378714,35.74251604115209,35.65540820456424,32.72743382876042,30.792347179269964,29.717580329141594,28.430226881693297,28.179965780314554,32.01993639107501,34.105500854122745,39.649970561698865,39.25323318376216,43.8026297089049,45.30219554389157,41.32102865790745,37.8445195619794,36.86151936273269,33.28940509866672,30.26135792600868,32.8437481829043,28.330279772003827,32.06163825485315,35.01143817098469,32.72949899978919,31.406194231157425,28.636712032395934,31.824276298464383,34.108755423465205,30.543447315568535,32.31494264128637,36.88638587346954,38.12904783648885,40.76764469011772,36.943656614032726,41.47611305628681,42.43578312806579,39.75695700666137,41.46429729176431,45.63990286212865,44.75924848769242,41.93953173578422,45.20239344586521,45.361124993854254,45.546348799102894,41.68228803208572,39.742807728899066,38.81118084663653,38.48772767013769,36.92471481617393,37.960754165350764,36.838725635916155,39.88084695847075,41.61151725763435,42.072873450550745,42.08801254956864,47.389354414593605,43.91493237857165,47.79034927796482,44.89360275393316,43.42128308050027,42.001430466731804,38.76402608950012,38.47565742815603,35.566163925317596,32.11042542063919,34.447531301499,36.28903361506266,39.849186445518384,39.728606840914296,45.43124979905127,44.15016922336639,48.20432067335673,46.57645838913926,45.94213913414864,42.11569267713089,44.60428682545395,41.03645722663079,42.17806371412976,40.43106330648717,43.14747534161078,40.63683531529656,39.33055246135201,37.62868538907617,35.44237253723199,33.39357864738489,30.23412556465167,31.901977328666312,28.432241681461885,26.770059333974718,29.632663662378047,27.258303636569707,25.83325256009702,26.7447740767611,23.590939079799053,26.196869047818968,23.108748599808564,25.386529516102268,22.53127315987935,27.80965678772074,29.963549755897443,28.306552350722043,27.812304337827378,23.362462750306648,23.313950740026474,24.35296713160257,20.60151911931015,23.76112936560536,21.915310154790365,22.446269562960186,24.661419476682184,20.850453487411382,24.403025083254857,22.255362953781642,26.20605529401653,20.46964388061347,20.049654066745983,16.093822098781963,15.25766628714522,14.800940021094087,17.89943850423149,16.33946770509738,19.819049376404553,22.807929831950226,21.840386581568023,24.502833828259295,27.33689112307948,25.04339350258217,27.744861554929933,28.188032699815324,29.906365475541,31.928561771385887,35.42470225870184,39.07763877608094,42.468641280001656,42.29233297469214,40.01937175718433,36.660087839506794,35.13077766370582,33.9033202916941,30.45806792381701,25.962105326251354,28.56602001204959,22.926562060270285,26.649112061481325,22.962820025805318,17.420389219521876,18.551794550464276,16.807728992542238,14.37298955959022,13.156042037539708,15.777257281385904,17.55381905396342,22.35577581949568,26.074036802325775,29.493311253332582,32.67730251762804,33.775817256850345,37.68949818118885,34.14453593893799,34.341715914828086,30.028567812004926,28.41110674309616,28.24332715538259,27.89684181436695,25.253473446140994,28.007893444695938,28.22412008567318,29.791902928180217,25.43929892796968,25.95635743493375,24.708361996018468,24.427268033764122,22.272347881534515,20.98392030432738,21.594338213427218,21.462999153512133,18.924141446416563,22.605667834253165,22.581678489666107,25.045979387377283,28.227559584936888,30.369392771131754,27.092537719736224,26.37322663496892,30.885811046013693,30.345993738575388,25.7367136697087,29.624517667625508,34.487184265979785,31.040166843835344,30.91140422334909,34.79401602213238,35.25157881477373,32.365944445568516,34.38981039269216,31.37385582446957,36.65272490836989,31.042502220540104,31.66652104469541,35.792798329200075,37.16083837004297,42.02592632380129,40.89400316154165,41.94471618709258,39.05677609778942,40.54218554777991,38.228576410119395,39.379061425939874,38.25030006361496,32.98579950081648,34.05164403661019,34.794280233749774,31.089139785477684,28.861593748839645,29.65402699455636,28.292963012251,25.592687987126116,23.12109062588642,24.855452551129424,27.883343025581247,31.443534782963656,34.0066071173022,36.95298976850122,41.427529369364734,39.44199196741191,35.05026835199272,39.14079365238783,41.2553963687275,36.87634053452642,36.01033821648756,40.393641609471416,40.209082319165304,36.87620020163774,40.41557101531378,42.91219704908042,40.4727934111176,39.696623668717685,42.54573888073904,39.57792453290172,40.49745290054753,38.06851107791906,39.43307485474894,39.44792077309057,34.299056706790665,34.56329872932087,35.48308273501737,33.38613792914798,29.520174310071425,33.022750967513645,32.4761879263491,27.762436461049745,26.788781123986112,30.587476930234082,29.410599007162222,25.95700263722136,24.027720270492377,25.38019868003669,23.59697819211132,28.14554102746544,25.126319351067806,25.977477020811655,26.20505599450209,23.429154536517313,21.23876563223702,19.961912844353236,18.631880356993918,22.120700909851436,20.735219770723113,22.001640383622924,21.425170736867607,25.530105906100268,29.65985639600111,32.802241468638286,34.40253297572011,29.994282207386775,31.948641773590282,35.878755771156,33.077319493896454,31.251035871325186,35.44642006853528,38.83491164130403,38.75804401375169,40.13000197477528,40.319892743239706],[39.05074267571975,35.81091624523825,32.72865292563416,29.321340786160352,27.189478847816112,33.1466797279864,32.36658702807986,36.21737641105423,37.04552183777115,35.12855716806699,38.4431155032465,41.4294724860399,36.91508028102876,36.00202120882414,40.05593327805093,39.73840714069201,35.15072030368924,37.11531522701843,35.25362420416871,35.981797165245055,36.63622200853451,37.46648848746494,36.820143223481445,33.5708080427929,32.28931420127438,31.537867881907477,30.933125273403043,31.20487868092263,35.347955906374445,37.91029261832752,43.03236877097946,43.219172887888455,47.68918823754453,48.82169376624851,44.910042361336544,41.15613804123701,40.667351565913776,36.518398690160424,33.395933998182215,35.762575261407854,30.80595800123344,34.32241085224717,37.011161381773476,34.71254078792293,32.816220036933345,30.189758395745752,32.92891267887551,35.68171434572788,32.771168860592866,34.123334077955285,38.79076990156537,40.37850491442016,42.9829518346374,39.59075373251682,44.12631316220939,44.605827773336706,41.87373775869811,44.012220172960156,48.005996915911744,46.58199643333669,43.817249082210374,47.19929654573323,47.672717890458635,47.23590804461455,43.3932214283269,41.94779635749883,40.734978059447656,40.94956173427205,39.08864168582384,40.567128208081236,39.12097084083311,41.848577923607714,43.926861549805025,44.06919650069894,44.657994583791705,49.78077881561155,46.441533762686994,50.57066509918052,47.75992340924244,46.162257711603026,45.25636227562719,41.99484376581787,42.288079666251896,39.22080057354349,35.621538782571584,38.097283250529806,39.40822460515671,43.38943344373332,42.73272530359068,48.66351639835521,47.178340434977315,51.030106776291774,49.655175378690544,49.37447377459177,45.69614759970872,48.140658561940356,44.672954002094365,46.206851413026854,44.75063282511467,47.84091152166642,45.12270157588518,44.25636385078949,42.23575352612852,40.46003036096371,38.32464201551222,35.44444538964395,37.24277373066822,33.79733979249975,32.33285638315728,35.13517703985638,32.75917342636713,31.049111037303174,31.747377166411987,28.314125153119388,30.351682484189805,26.939972990520594,28.71157738710923,25.24069469409659,29.905968614511185,32.739711194152115,31.041309053639818,31.05891736508047,26.61558070670433,27.186293665828877,28.743775478191786,25.43052262849146,29.058629486612865,27.252072312653493,27.93446032518912,29.935344791541816,26.292125074138934,29.66193407237393,27.16227780219272,31.119078843918743,25.413370665476243,25.047694907876476,21.51949293691288,20.11201857213407,19.033675239014592,21.92615816505907,19.047540167479337,21.750781019286556,25.270186114415367,25.0414549298087,27.681585493640895,30.93115611668848,28.913080241478628,32.03643286433487,32.89981293891268,34.71619472527932,37.06922959641937,40.43310625022438,44.26537966212954,47.57609721562574,47.18261424387387,44.931906844366935,41.40174733346521,40.11458356842936,38.521539173526456,35.390354085899915,30.577550958005553,32.61640755545875,26.769538737147798,30.255640746332986,26.577241737300383,20.693868471392765,22.22230128444073,19.713063088191507,18.184540956232727,17.222134834351277,20.256570683179522,21.87507959011102,26.61149003360403,30.33913416064398,33.74887961566249,37.19823592317133,38.11492849489809,42.077789166885516,38.23935066443762,38.67107403048618,34.07109351565615,33.14243903172727,32.661971059246824,31.944509686480032,29.256079981955953,31.316278370334956,31.259541082372824,32.356827774435,27.470385031667398,28.461906769730383,27.12136842761276,27.611714049616484,25.798593800532483,25.102350681679056,25.980388320416374,26.04794818655708,24.059872095040042,27.824178243404265,28.008759848525663,30.636380928915447,33.72713060371887,35.99916175270332,32.75611833698775,31.90676108613136,36.40866831784506,35.927443450686695,31.145592825536603,34.96593075880243,39.95013758740711,36.367856044249116,36.05567073958545,39.95048091898691,40.457453551567156,37.31649495228719,39.183521327157365,36.16043852931647,41.50602483377197,35.5698520606954,36.58126297872714,40.72483072384015,41.98407949200867,46.780721157225884,45.615577473435714,46.92945314929265,44.130672366002074,45.64857754872523,43.50113856531786,44.369079410101456,43.125638880491664,38.116442684012114,39.12449447362949,39.452623443443684,35.81760284545522,33.816900712023575,34.33187312323254,32.60226583994785,30.205859327819947,27.95696094162581,30.08591807336573,33.198010879614095,36.686429267864355,39.41686276434251,42.408779873127735,46.92312902542398,45.004471084926436,40.627657471858726,44.723350156014625,46.90090795930987,42.542411976243315,41.63894160678319,46.01835193650472,45.82802238049965,42.43437270909178,45.93506110939816,48.42768500073382,45.90047201864206,45.052291404414504,47.89827652155245,44.900970050792246,45.89176793867853,43.55408553700416,44.77359432286177,44.668951980732366,39.6276026359517,39.86321401338704,40.52754259557433,38.431081221227366,34.688775522666255,37.85968555606619,37.057752213019384,32.565183191084365,31.591786572847397,34.943276578291176,33.551638256978556,30.278155692375183,28.56876902847064,29.185840876591588,27.42710478121506,32.2415851760902,29.499512806956993,30.873391350779258,31.196558670044606,27.991891616569795,26.057498650771898,24.53800249041058,23.643376703984227,27.391212100502123,26.297922034269938,27.655952245533747,27.037026826200727,31.098015351574187,35.29578933917634,38.4474597553331,39.968650785367004,35.5096527406152,37.44774969092095,41.355468392384566,38.39893639001204,36.47860171971786,40.73230877938002,44.12471896292866,43.992158292104385,45.31272979097497,45.487716267997854],[35.72158791642495,32.41164392925885,29.245270148935273,26.951737336312934,25.032396995946428,31.60869747850195,31.74564405995455,35.6679906131296,37.220373036764954,36.279739276567966,39.90593427261334,42.48011273179546,38.581730630792066,38.151311898475505,42.52727110506393,42.13977710284331,38.00290659226065,40.69533428198455,39.77790938629298,40.28800658069297,41.645823996256816,42.55046027395796,42.47096738292408,39.47993768970803,37.606976237364805,36.60544652661195,35.24271902915943,34.87798833325776,38.57999119483028,40.39421010298485,46.10083342787242,45.38773055104261,49.96411845242495,51.70973079289736,47.70302635118736,44.38628318982981,43.11443485012201,39.82665813145669,36.784357657135864,39.07349314440227,34.86504690136525,38.78826326291275,41.61394650982028,39.17415574195005,37.73935602993316,34.72492699491915,37.69429646161167,40.2356165364088,36.58412372053978,37.827657166325515,42.58142871959583,43.610819099121066,46.54257592316139,42.91968392900699,47.45327340600586,48.526621148198736,46.0867348169122,47.83048013878069,51.96078329837159,51.08517676894152,48.51766751456764,51.907460656989095,52.10823969913807,52.36715401430699,48.46069167777256,46.52298495210504,45.69288161516402,45.29507876322526,43.7084099381991,44.58062461810804,43.44021788691203,46.44542121699016,48.26932654227498,48.884776681178465,48.83782533764817,54.194974745384435,50.69237908714434,54.48582430744622,51.51864394876001,49.97494082274581,48.334956687947006,44.940259581600614,44.36013723793084,41.270838867700974,38.10271659028837,40.60115608397977,42.755440902868976,46.14833821146013,46.349800492627,51.96199317608572,50.78872681518003,54.89248919248577,53.145611745267075,52.33234190677976,48.3793898045364,50.77142570508146,47.056247909886416,48.12467290973522,46.09887529934118,48.373935819283616,46.27838633285979,44.3969528328552,43.1370035633439,40.32930844874626,38.094076748864595,34.66244695459832,35.62888529508196,31.815402189726385,29.933442044681836,33.2843014613734,31.044482323920736,30.543070941461206,31.65077870594925,29.060937497193375,32.098717669917754,29.27934221556318,31.885057309532574,29.243620098522868,34.610440375483925,36.60751564947898,34.797493812185614,34.036916651721754,29.484412959488427,29.089929037068952,29.578024460008635,25.78428776300142,27.813230470186127,26.396059694709525,26.41353213227103,28.834537970819266,24.13453400094121,27.282816601826863,25.71547568939897,30.196150652921858,24.869225352037645,25.095959484979243,20.46061887239962,20.924648903090496,21.01345112581699,24.246532767262423,23.181424999861708,26.65801618457491,29.653857080685846,28.525873307070224,31.11747103997049,33.80404424125996,31.380499674660243,33.716452062841945,33.705324696924,35.12638287010616,36.59086489287762,40.072448268861436,43.48640989967939,46.664368407599824,47.04880942314541,44.976589588233644,41.92191926283484,40.12312687096565,39.45935132016338,35.60143831259159,31.567687870578272,34.666693233314085,29.19888615408777,32.82645828563553,28.83772000194285,23.522934930773296,23.764439608262087,21.679498442794618,18.823768832670865,18.68572253965679,20.912730307199165,23.370711446039124,27.917736147861174,31.626107453798486,35.15783948064302,38.08861997135259,39.569637033649066,43.21966192431044,39.81052198491756,39.616371319382104,35.34673017853297,33.32670726125833,32.718870448668106,32.183060775927736,30.023964897510346,33.33941650156883,34.13411351450824,35.250382040260774,31.002844629036336,30.84852036276869,28.969764492921822,28.906531099227344,26.044403313671467,24.54579136471187,24.45570437930855,23.33635014836011,21.112550079130145,24.214213956332653,23.656138155660283,26.986935825714127,29.082245254672056,31.92212471965327,29.036901826741165,27.09158328667285,31.429754345853002,31.582567896440366,26.438352745440316,29.60210165156982,34.98911941667154,31.852467042535753,30.951667842522223,34.65262631042292,35.89041155840191,32.74039478669686,33.82150385990304,30.53908249630627,35.53847980971932,28.946250151150313,30.27255540084638,34.336823642108996,35.23040053196623,39.95269515160052,38.70728593859868,40.4530943277064,37.9471172886426,39.77682204873169,38.22656641817832,38.8848149998368,37.05248658465993,32.42243512661701,33.9143524384135,33.70554508932486,29.773217127810547,28.398329290124444,29.311336740826867,26.6293525740154,24.05515707109524,23.18921630067533,24.935219174917165,29.191137732141712,32.304293696210415,34.70534472752089,38.22263092689023,42.49670463005724,41.28640657920375,36.624596012038594,40.14190991895699,42.888363831608196,38.873256899519184,37.25208580952829,41.64530616151223,41.79731693152874,38.10069661928885,41.02392228992682,43.76889749396538,41.52946891886536,39.97824342398183,42.50490007529105,39.30668631009668,40.301863483729626,38.299287747964385,39.08558016390402,38.59673642818054,33.9269926098346,34.112590200704275,34.15754924771538,32.070640851582425,28.661999151688573,31.342187685771822,30.048061317843338,25.895735123379648,25.10419120316165,27.899872430004795,26.169634466177342,23.079398023799477,21.79265067399066,21.710886942930745,20.40697610075178,25.386357406397014,23.439658979597805,25.138794791211506,26.45222977754653,23.0052252122792,20.77763303029625,18.42888542584156,17.88619593610413,21.860478537922173,22.22703215390151,24.00235121562698,24.503242537019446,27.904487305643414,32.373330082790325,35.00877507999264,37.37963967567114,32.95527232443673,33.98332483214728,38.23948065063524,36.30339373027827,33.65716703841901,37.249549657941074,41.083513206553405,41.498395645323434,43.214113007792655,43.68706931794439],[34.722766607545225,31.576281080305037,28.8851684711128,25.845681733371787,24.61308340713695,30.82339290284465,30.923466197402888,35.09060458007653,36.09451706694723,34.99984450470386,38.525195602393225,41.431806293293405,37.62137443556264,36.649628531909876,41.195642286820146,41.136664776154426,36.91270871876777,39.57813476958419,38.46974031104931,39.473537828413036,40.704828276210286,41.9797810006456,41.639073238771054,38.6121203571918,36.93783090060814,35.58935081520047,34.57406998678161,34.04510354126693,37.8403863830136,39.83681344674871,45.124795365812524,44.86765389948479,49.3860476634127,51.14702797926303,47.32035768518757,43.8662676535221,42.97334574819932,39.63882427684622,36.76299082810403,39.64356827575727,35.000837444558826,38.506370057082485,41.59315384874613,39.41480572751623,37.9996217159956,35.32473095071017,38.40418006451512,40.80772792498994,37.38499856258165,39.07991111858048,43.68496531263382,44.953862226310456,47.61371409569946,43.79907144615179,48.348978804889136,49.27215391989907,46.50325300302793,48.20519711532789,52.41594716363901,51.484527477035044,48.52903045900572,51.65212026567716,51.698002433831746,51.72200400416809,47.981829132289775,46.045714313071855,44.64540311362576,44.23413360847834,42.189228194169,42.99804730619492,41.5962893199612,44.3798085524779,46.54870592783837,47.35467898616431,47.623999094884276,53.14648904664997,49.99756528527356,53.93570716118992,51.23548418638912,49.97302698818375,48.580018057326456,45.487806029359106,45.06263306019665,42.308393489159464,38.84858021777602,40.99650672168298,42.825644057670075,46.25839845362903,45.99181345731152,51.57997730314395,50.03334933091262,53.91849014303936,52.07971102728391,51.348940085947795,47.29934270950506,49.46852109120261,45.660045533792264,47.25685950583295,45.34559498670631,47.910901460470456,46.04145082834534,44.582685700808334,43.42130858798089,40.96015993763103,39.2863711769512,35.69174366699012,37.117596931895214,33.554014600984665,31.34388102696294,34.36141805088003,31.608811950784023,30.872467188267187,31.333007348347703,28.619464606731306,31.138865449419384,28.145385176920914,30.713597086365354,27.873325215426746,33.086008456751856,35.18726248235558,33.061860175444494,32.37609941285301,27.698874209074834,27.582992845860574,28.325872762015567,25.1493183961566,27.61924808347377,26.68528382159145,27.27833486783554,30.137206513744363,25.85532316335777,29.464892773483914,27.94043153686512,32.087372023620816,26.47789404088582,25.981530768141226,21.370936619038606,21.029270337039048,20.405357667762107,23.967196954075458,22.33768198775582,26.018720206981026,28.87899419921801,27.95565559083658,30.887232959301084,33.42378248578382,30.912977442724053,33.35153621928187,33.64376578513625,34.74045453030374,36.59214668636393,39.680519881099805,43.48538514204911,46.284047219029695,46.537637597394834,44.73568764553216,41.55661838914156,40.189249701869095,39.34356279307719,36.01435328088148,31.964219083578637,34.81247173805211,29.35289686665351,33.294208952497755,29.75467468046645,24.278855987825676,25.31534065615848,23.493659633931706,20.85093773235506,19.88388985709981,22.286609283464458,24.07849803757398,28.915280340910467,32.5839197464333,35.92390954490391,38.898819478247056,39.87118793315841,43.945519993173235,40.66505472022933,40.783313949640124,36.6675696077197,34.584744814083635,34.58282916838166,34.32020935487305,31.83903399965941,34.84436339929062,35.103612840890015,36.66601523312873,32.243320189619325,32.68728561873656,31.20815415932953,31.031702366907457,28.559838237881806,27.065135089640833,27.222550415371465,26.3789603558759,23.669331160449165,26.845649740181543,25.97744531994626,28.843965325111874,31.205954016843485,33.60699968561035,30.37089038021211,28.66224288883276,33.04660075284512,32.605905202568884,27.215283725369645,30.769185463136637,36.02685764658364,32.22535938915904,31.37759030223883,35.21219723132819,36.0365722047013,32.532731145182865,33.8946915032002,30.835509726316957,36.18919744943076,29.971846481886747,31.542023403724095,35.695411642166505,37.168165895711816,41.779855993642705,41.01509158896492,42.84592762614318,40.47008174622692,42.48882259008521,40.84216557527432,41.91482234590223,40.04037321970093,35.125606821733214,36.86127552792716,37.04093003523679,32.92493502453642,31.438527829729516,32.68481564082725,30.1908204175859,27.266240752380675,26.385993920413444,27.562856371229223,31.761569859609747,35.03313459621865,37.12104747375527,40.55703957720443,44.732961793285654,43.26967402717392,38.59519552321076,42.00589157962068,44.509609256843014,40.257973009057174,38.65522078863003,42.864225698580995,42.70675221269886,38.94110109418673,42.17138505951918,44.63866218336263,41.98180032208908,40.73409934037268,43.53448802680147,40.53170381386139,41.89979112036955,40.0565858205924,41.2237011098589,40.45478309027962,35.53167440817011,36.26901013140164,36.37474882118421,33.973820507502715,30.80624785199591,34.00877636445359,32.42329646131529,27.957918651796877,27.772584888298397,30.808472663515687,28.704453740668967,25.34348130400702,23.353969849183223,23.509872328342002,21.37286600382988,26.256823657713095,23.745787639276585,25.78631750141163,26.455913511987557,22.688692112865187,21.022897826395468,19.197781163091516,19.140972353193284,23.3963770634706,23.150077775949672,25.40908727780744,25.095657507251172,28.36032944060042,33.16161168430189,35.88436710047964,37.891233239962965,33.20040186906733,34.281395981237196,38.40654855803583,36.0526864580129,33.24327886100228,37.08488387876829,40.83086938621855,41.08442476889487,42.72301248330663,43.226863133023784],[38.38499437410111,35.32686133019053,32.80394223270245,29.448789766816635,28.345146319005234,34.35299388507565,34.227875861204055,38.408156549894535,39.11113532242474,37.67237436023812,41.06279357808831,44.17614587775119,40.15189878798016,38.903283328444004,43.34587697383063,43.3593354461861,38.92796686218344,41.23828620910485,39.604446880104334,40.739864049845096,41.54045355180933,42.719173774882606,42.006967858271906,38.778309496201494,37.5345554086922,36.39862265865871,35.83128938289454,35.666691763836816,39.68643504503237,42.04000280985571,47.04475949192629,47.21432320414956,51.685622530187885,53.16070923539248,49.3721942205967,45.70642795612978,45.170693287755086,41.40234595902077,38.450933137469335,41.21110174795708,36.25156549687139,39.60659098370583,42.528742833824566,40.35570903004366,38.58661195005796,36.035040159450936,38.842661318955074,41.51076163296393,38.5200165271784,39.99672024279356,44.63813141453705,46.15344135075628,48.76334495182555,45.21989466069246,49.76712922982528,50.3606567971927,47.53917670979929,49.52832445994855,53.62017042315216,52.32118152253281,49.3840699811914,52.57864672005097,52.83598077292814,52.43121168630409,48.70998811227147,47.10766894786527,45.515039591680974,45.47902071388165,43.24510443665044,44.37817157670213,42.76217862945066,45.33201241550044,47.72344523382821,48.28582495949007,48.95387845199258,54.34461561386134,51.28341276472971,55.404978420217425,52.76331316958952,51.41516481088237,50.38829290976345,47.28423952824243,47.28101017004556,44.42102177337171,40.82709471749454,43.07077626378566,44.52219674472992,48.26583166588787,47.61038853296728,53.3742507734768,51.68260135837251,55.43053829888573,53.78324297815712,53.31913409371035,49.38870762809828,51.550431883145635,47.833305742873094,49.69467179474237,48.01795944534032,50.90182084531321,48.80789821693284,47.712681570112025,46.25333763524725,44.138549347912345,42.384987814110126,39.020043462000935,40.62248214220294,37.09258262574162,35.08014990640705,38.01647365526164,35.27564483915902,34.19114220021409,34.53380686363083,31.524282442021835,33.63789950462311,30.3838040020385,32.57230483860972,29.30009435565649,34.10038448907592,36.67368515754842,34.552055215077154,34.24964824276831,29.598060565905122,29.94145275924046,31.118805322927685,28.180297638336945,31.158373559050023,30.10663004046149,30.841784289951082,33.4901089760166,29.40769699789128,32.94836600794837,31.06401401516915,35.18879956347204,29.502551546648114,28.992182239781798,24.73872312677975,23.850583736193812,22.79709109462955,26.210515349203156,23.711307774924386,26.911554480765506,30.10433634342522,29.663323081831305,32.58387148103206,35.43048040416359,33.1155028455601,35.89847954919771,36.52809025698029,37.7729191769746,39.925036836587346,42.962054038040506,46.913185028416336,49.71859607301585,49.73946934144593,47.90146295087709,44.554916011428226,43.36566512698681,42.18640826048228,39.08574787761383,34.72124490474036,37.150386973494996,31.49722639829234,35.301852007677745,31.764457811457387,26.014853465668327,27.383726931446677,25.118746247940468,23.042153180590976,22.101626477271015,24.84740612586591,26.5080157668831,31.37191828103037,35.07942647509026,38.430055709369455,41.633287679099084,42.462383401004054,46.59995711312805,43.080987105001846,43.39473260517414,39.05267423761648,37.481332767387556,37.29517491186549,36.79605499692028,34.21921098378919,36.73040208792828,36.76217363116046,38.066789126465,33.29843007647227,34.099316687020305,32.62010045584181,32.905743223982654,30.71643446866458,29.6216271178292,30.049142199362716,29.47742823866673,27.110515112297023,30.474752448018357,29.893628790064206,32.76997449632585,35.25185978810268,37.667821832519685,34.414748517685254,32.82362561246464,37.22308813483736,36.76052047999927,31.388505913150123,34.971899591723094,40.21982412774709,36.34010849030757,35.49542498942256,39.3362629232385,40.09589316464377,36.496675086322085,37.8680827228176,34.85657431535106,40.234791796231725,33.95215454129917,35.65746821505779,39.79878550085044,41.20785554260922,45.77316441696052,44.968071737055666,46.877875375880336,44.501813672818216,46.469969814024154,44.83055310762131,45.74217657387273,43.90006163755017,39.098959296811,40.69710777506772,40.696948127073206,36.69279357487278,35.234901545074244,36.225967926298594,33.67509822600761,30.992168001713164,29.974813007685174,31.500808873427204,35.543787083321604,38.837746743046104,41.10758179217183,44.49273947357022,48.745122151823566,47.222582726897585,42.595769972565435,46.121001615975516,48.587666540878814,44.30596542144259,42.80299485988618,47.0229572128951,46.830812485026755,43.09152030294035,46.36577861636702,48.80747362334149,46.091135328545064,44.89613476126009,47.71709892192735,44.72278322264462,46.09641927246965,44.23934150807889,45.36053004431583,44.611289151326986,39.72528122160397,40.398989175973824,40.45838208058821,38.09625337691764,34.928057896869035,37.96300840755384,36.34810799427698,32.01622097048499,31.727863919961724,34.56091913749852,32.44312456694595,29.221886841118693,27.391237504277488,27.20881754407972,25.140850717643822,30.078659704564732,27.692330211249743,29.905454410321088,30.503741750113686,26.62673671256616,25.119642586976436,23.29650119382632,23.325229976195075,27.58603885094214,27.26356986427141,29.412929603557945,28.9482329564046,32.351243539564,37.10546618692273,39.92328411990599,41.77432099399551,37.06841180372988,38.30138711926561,42.36266937655509,39.782227854549646,37.066573429139616,41.02706613155033,44.70157467514657,44.84534627325326,46.39600695219687,46.84056192660117],[40.20780111595567,37.348594888272814,35.28392162800191,32.13033471267386,31.743331847661633,37.697727228596314,38.01970587396937,42.34270561021245,42.980529736594036,41.847648308303164,45.24427333740716,48.412700945660205,44.69386213365198,43.25382512331626,47.87301674422296,48.07218103748182,43.734344624136526,46.16829549893595,44.57802921851766,45.913019938155564,46.69939873844955,47.98884703219082,47.171935680769096,43.907025796718614,42.78639989088989,41.55605671517261,41.07740100038666,40.778992453360345,44.74396922108721,47.0109369272107,51.918917122948834,52.10336541139862,56.55796713836713,58.1829347939568,54.462657942974104,50.83480497840646,50.29250179998725,46.67079186410589,43.77828865016248,46.61507583640376,41.659340895143195,44.95373450580108,47.90853837254739,45.75793338981736,43.94713791748733,41.4013237157895,44.130352351540516,46.871411412440544,43.92039773852437,45.28758128140634,49.961425329948156,51.453160227863165,54.11708605379956,50.61146581248837,55.168697220934405,55.76497473250375,52.9425884364634,54.93653055452921,59.037758193296476,57.71345612774249,54.75766786244341,57.90766966378256,58.122873307192016,57.65101005035673,53.987541412856665,52.39195872817571,50.6138240483943,50.529207439875314,48.08864665446716,49.09121837782955,47.355977718602354,49.77682903277022,52.373797492344394,53.11251895545351,53.89036194542482,59.37409014731168,56.46388348317995,60.59807906160668,58.03705218907502,56.77054853116533,55.72268919651638,52.65420218739948,52.54624032910937,49.72071914853979,46.16238318862387,48.35820204798646,49.85703001801682,53.52132309818519,52.85263108855323,58.548952474052584,56.75567663821901,60.42554087085192,58.66846466744664,58.13765019487368,54.098891263247324,56.09112656481521,52.25810962290624,54.31206649493942,52.52660524844054,55.27025261046836,53.53004440405733,52.28464804416041,51.12614064939563,48.80252757211937,47.176864230482806,43.59799127772422,44.99456635032784,41.3866399810602,39.13605962301512,42.1905803538189,39.331115543523424,38.65967501941292,38.856512400620275,36.121274930922326,38.26213579740456,35.114154869849834,37.45618990194277,34.26091984832621,39.01783513766091,41.5178444758873,39.198366562534275,38.77621937981694,34.07524026768853,34.3266077811123,35.284722682546935,32.586031030385776,35.10093154948,34.46274619578037,35.14036593589919,38.04734890392061,33.68547890653091,37.16956293474813,35.61023011682472,39.87414675282658,34.29452547484104,33.84844766149885,29.283651733696306,28.75473235626764,27.764679815040324,31.336044627019884,28.958505074968084,32.23490943230412,35.35023534473015,34.879003319104434,37.881055248532405,40.583522612077715,38.16449680550423,40.77943950600725,41.275775302756564,42.22280371382262,44.210505620750624,47.0537221526541,51.01734921588132,53.50423149250094,53.80647988011903,52.219901056823225,49.00924756340739,47.85357968824858,46.92240979012252,43.8102439764539,39.69260741958168,42.29971877937976,36.738388864109425,40.61886311673262,37.07984273806531,31.382100411181877,32.57915416854932,30.271774565418593,28.034486754187842,27.293130216378902,29.911022716771125,31.68492674667188,36.54113711097832,40.23880081887075,43.58305383340374,46.66650358856063,47.50447006317022,51.670108218968366,48.27865073935144,48.49919318989095,44.236935729906044,42.415407244551986,42.23167212842108,41.74108219691553,39.29392829815335,41.99945482097966,42.14037421825078,43.38369291622022,38.61956624943658,39.280364379500355,37.623820596664764,37.96520241991289,35.55197330591863,34.343825057946674,34.50791194515284,33.542833839286295,31.17592124183341,34.23096616796479,33.25724052493864,36.36790258599857,38.31515473645857,40.91111794126998,37.77735223974155,35.61613354849331,39.843182928424,39.536794262889075,33.85233237602725,37.07766378288566,42.48426913558446,38.55322236891325,37.25727790166533,40.95164240208475,41.99981093672835,38.11963242549939,38.95735529338515,35.97308069247671,41.19913134049472,34.60693516383242,36.88938332711085,40.92349287550775,42.274638526471065,46.57387404816435,45.96792209118916,48.38221928482341,46.36889127597477,48.62723375159002,47.45674430465705,48.23302759901914,45.94037277516772,41.49672386920314,43.44318180914063,43.01988650650473,38.868081521311694,37.91720559340226,39.0999945864647,35.8846935228825,33.21032766714115,33.141020799836106,34.4068000542004,39.04672912350824,42.11161745713926,44.12218792213383,47.78086481917454,51.829983790466365,50.68014853530626,45.92210656018995,49.01501258253011,51.739901726580015,47.60812743104698,45.6682796538267,49.758295226171846,49.63192840372863,45.67435969107086,48.65858553663937,51.092259074682815,48.32884722039822,46.79337117697228,49.49694415219379,46.49487557803701,48.08865601300541,46.61662469950639,47.531171462363524,46.318220535848326,41.713808297256755,42.591364775601086,42.10430309940596,39.644554954713854,36.97288680987596,39.647552799337205,37.41852820728684,33.45465764675146,33.586517669401,35.7740888903589,33.14700292362441,30.18573011974868,28.52605611541172,27.440224511850026,25.377843926597286,30.308094515009422,28.509109179882987,31.388229987764824,32.34086291445544,28.027576604761755,26.87155974017356,24.7407939711886,25.482036838869973,29.94842904971584,30.35891986341423,32.91815205795479,32.710542792724326,35.61983519364753,40.638522942248244,43.16678973110755,45.29286420007251,40.50953376621658,41.19917111545334,45.34303303261773,43.12423443453689,39.87596961756408,43.51457511596499,47.378148925395294,47.75232858518013,49.45777712469662,50.09044431204447],[44.840042403420526,41.96982974152794,39.84108839503396,36.505531684556246,35.904240427641824,41.786690567164676,41.802739105406076,46.06027728969349,46.54450096698614,45.04664404430434,48.32656216264987,51.610209370000874,47.60036786900874,46.05178940235214,50.478594304175694,50.63868271925673,46.109244200007964,48.15668924728925,46.070955528238336,47.37986965027153,47.741021761336945,48.8056772059111,47.67666478128298,44.25273518401343,43.538251262103195,42.6395967133802,42.534199059925044,42.66511613688283,46.81884947367259,49.4092433785392,54.124362250573554,54.63979405750423,59.052690337933335,60.34157214423195,56.61764867643269,52.80801130174762,52.54829479456695,48.4832249458702,45.48628867543141,48.03041577124965,42.89091854788892,46.10172682284369,48.78843946865751,46.603291737021976,44.435036064264054,41.972368067390555,44.35537709096234,47.376158388549946,44.85425999901853,45.88563653333761,50.58487760788908,52.278555670727165,54.92481555441399,51.7788009247268,56.26193341906423,56.55081271505926,53.77503471723735,56.06196304538511,59.991136071104314,58.28842495354959,55.47146324802108,58.75229612379624,59.2502318284141,58.37319325384259,54.70830597016179,53.490964191320785,51.690443505211476,52.020390987902815,49.540197800192146,50.919618745549975,49.05418670415397,51.309189303116376,54.0090297042926,54.40221073729212,55.50787684466324,60.76671935329452,57.85319331727258,62.12808526379019,59.5642908818362,58.12768786932926,57.4228890385293,54.27908791355959,54.59244974096205,51.58564247628384,47.97685641017597,50.34240176292319,51.51033557146723,55.484449930802924,54.52313525441434,60.400270678025905,58.567190946874,62.14234778864495,60.64139700340403,60.38753398694104,56.52930684020603,58.594314595261885,54.9115107760649,57.072584150915354,55.5249452716202,58.54844516275042,56.45983767749407,55.51508980640015,53.97685147018962,51.96578346627634,50.11321563456623,46.841350223499155,48.35181000290623,44.7475983094419,42.80093240443903,45.81717701004005,43.10341323053007,42.06261050168742,42.31662265895381,39.27393064896944,41.13912946255883,37.770652067423214,39.71504600295733,36.167483289215575,40.49863896226047,43.444305367734025,41.258080446907215,41.222709640070164,36.614956522547786,37.25099478623449,38.60014846906856,35.93073037126929,38.915586340494784,37.98999228101567,38.69689033690257,41.262537791956895,37.06234971408197,40.40158389511053,38.4409495277267,42.70230902662794,37.11068213176576,36.780357336707745,32.609029291985706,31.663178228552358,30.42793858213748,33.77583177054856,30.730409475920002,33.43541980767353,36.86641651142553,36.8267828141321,39.700633551979514,42.74434311891442,40.56720819601368,43.51410631563769,44.29438283540479,45.513474099591996,47.74311863513876,50.6681563325637,54.688117266531194,57.327080797200324,57.373233706213774,55.63679736052548,52.25929028933425,51.1751505618388,49.90533527541256,46.908039022197414,42.45256949317879,44.661105350915186,38.927140799690925,42.5657035095723,38.96559953847164,33.10522640946475,34.46638266494827,31.74314805258289,30.057025496153763,29.465439885333424,32.33521735689011,34.08240367924927,38.86808353988283,42.5890137728531,45.96965915960572,49.28080119926558,50.08308339972674,54.20057228653003,50.52707123562604,50.89216823628712,46.375256329889964,45.12496520619844,44.63205636658225,43.8496668676997,41.37325198576492,43.59495342835227,43.601428451288925,44.47478020739761,39.42838861419108,40.34357376459643,38.65708460081359,39.45479683341303,37.33512394250335,36.54820262567395,36.97371223978693,36.3048443497293,34.35982334192496,37.62034607629239,37.057083229181586,40.21056027961428,42.3369761197677,44.997180795009236,41.88900649209837,39.915064987357795,44.19226869847862,43.952782089544925,38.395287787734105,41.65961151943168,47.05579663047205,43.19878019942137,41.999165415541675,45.7088173647228,46.72152662597744,42.889268855040925,43.802214824473886,40.80895907288633,46.009615422086895,39.35216513936389,41.571301322596085,45.592000099108205,46.75727335053856,51.11743009548815,50.271977341501895,52.62135585328349,50.52731210600664,52.63456195405724,51.401240717808875,51.94393243250934,49.79186150997608,45.46600623385828,47.14625311108456,46.54399787583683,42.59752286719753,41.59718590818494,42.4068238990832,39.25823220453063,36.910251642697936,36.51975963624876,38.26702383580179,42.63156261338867,45.72420084925584,48.030251251850814,51.5967951035617,55.78378211190031,54.556813937585446,49.87243750133384,53.19699164857664,55.88985229815985,51.74297313567293,49.988241799198164,54.16230460833641,54.057534208397556,50.18200505977644,53.208184890828306,55.68421644726816,52.965031965544846,51.48533710961983,54.17251339421886,51.13510662805066,52.6014575350731,50.997652206890876,51.82326773658317,50.79316968284911,46.22356754427581,46.87153541936491,46.44448804981486,44.11928135176627,41.288147255917494,43.75867801369938,41.70621826615631,37.87640251247591,37.69111690643412,39.753347175428964,37.337727025921254,34.52510240805545,33.12909259836373,31.909714396245153,30.113986749068662,35.06870788254637,33.36600275566996,36.15016726149162,37.083629295486524,32.84749949152346,31.615125667998143,29.47130688936374,30.001068690021494,34.36979077971556,34.651739070324574,36.934433144852704,36.68679958415841,39.88049354214324,44.735762305019584,47.408800798458074,49.39789512223661,44.671264188833426,45.619146069215645,49.723213002075546,47.30029112947942,44.283160411938944,48.0625798887679,51.841379194664405,52.096214950435474,53.73041029124158,54.23653200324258],[43.79048649988194,41.13603350583439,39.46548590305119,36.29382861097126,36.3969133772269,42.16421545506057,42.64964492471795,47.0508274917109,47.491479609017915,46.400412795217946,49.71825183643448,53.00943718930543,49.41117247826806,47.72091990149006,52.39108639989986,52.75273355541346,48.40407902747373,50.759071554746996,48.98402096131249,50.51843619668542,51.115424645425705,52.45326297412568,51.410164996366724,48.066007077738604,47.21070046038053,45.988934826782184,45.762611637714954,45.51310047737294,49.51766144736028,51.87519851213778,56.56295326372958,56.96023531062249,61.36755416389877,62.965898856056235,59.327619711160345,55.64007849574112,55.26401799461048,51.5684623735016,48.706945479737676,51.5761022339512,46.49179374508191,49.64268995315311,52.55962052351408,50.4484957668631,48.484859834595696,46.0361694245367,48.60407393410487,51.46248566317274,48.737969475440714,49.98844321004957,54.65797627504654,56.24500723228561,58.88930382923811,55.51163384528159,60.060570944778505,60.5187617711703,57.65885983345594,59.758759317171496,63.81420055193658,62.32007377994855,59.342160009500816,62.461781539716846,62.72484362293892,62.01591466242393,58.425248459194,56.97886155864137,54.9739664866687,55.008717836764355,52.342994889654,53.3861254934246,51.48255414890586,53.69159091403439,56.51748772744741,57.27656280202833,58.30656841967383,63.785679121593105,61.04287353515709,65.25839160307078,62.80029855876325,61.57539945736645,60.68477325392801,57.66528499483991,57.67108535871818,54.85547277125456,51.25413664040931,53.424023732218565,54.777430345809655,58.510084684779784,57.643909692775075,63.35034765063441,61.40980263818062,64.9462269270257,63.197232910965404,62.74313783301309,58.69398603005909,60.553215567326475,56.6956197753001,59.00727964770771,57.264781128086916,60.06272648301751,58.47115634403744,57.31329974152014,56.228104606907635,53.944934480092385,52.40770492567587,48.78883228168182,50.1594673469459,46.54972239604972,44.22418310837244,47.279210627027744,44.33441043003304,43.7487224457543,43.77723233997917,41.09033487067453,43.05192104092052,39.87666980821741,42.146595298805394,38.84875420038502,43.37110993592085,45.99636226925741,43.56004615977382,43.22254648781771,38.54068577703982,38.92395903425206,39.92738336778846,37.50380904899264,39.9659342486107,39.53931369498616,40.26823654468627,43.26069495111367,38.861595260118854,42.312286293740335,40.808485948670565,45.10714695822772,39.54985362758224,39.08631194398801,34.50772069818091,33.92773975999499,32.788101522778085,36.39260867686647,33.76633634172639,36.900164734643774,40.05462256378271,39.75681932904142,42.806478908403314,45.51799020551364,43.11813333458555,45.76168701437447,46.32668699060326,47.13277265970901,49.16158347415413,51.83122955307009,55.87586657504965,58.133523064832886,58.50258046342402,57.08069796662053,53.88515201870082,52.85448340218165,51.9290355126614,48.944783521610624,44.860122209033186,47.386710310633,41.82454071393852,45.70652949350753,42.21024875354055,36.46035684071996,37.72757043543528,35.28347674650327,33.175911599171044,32.490091711801455,35.15178928312151,36.89001285944187,41.75567613569475,45.45129796588045,48.774306348781806,51.871700971591295,52.62139415672735,56.85022861574979,53.4581747860062,53.72121890809006,49.44009797073055,47.66552914308339,47.460056386269684,46.91050631606795,44.482270891807644,47.08680907270046,47.16387134427943,48.30568724209395,43.440407162293596,44.19106171958698,42.47398953935692,42.997616144258,40.599503048318525,39.470966909792345,39.6044749232846,38.55023672543579,36.27615463802254,39.22345274520402,38.12463495713365,41.31470170268831,43.02327397744189,45.67982096525847,42.59543367143436,40.193169944149744,44.30227013444945,44.03447055258387,38.21289192074246,41.24206804443211,46.67987144945307,42.67123560053931,41.131203977571495,44.70889708759315,45.86109907026249,41.7907258489388,42.321597605283415,39.435454403224746,44.53421835234632,37.855073565456884,40.5202085452941,44.44063279407435,45.76264986240756,49.82625736899771,49.36718928763211,52.11445647664326,50.35367406556891,52.769040225351006,51.88119753715684,52.5418416464785,50.00372016173827,45.82530936145174,47.92798881527264,47.220444667178704,43.045808169739914,42.393694092365145,43.60775777304865,40.03824400628456,37.46255938186498,37.856747678605764,39.053655235704596,43.93313867904246,46.876919607971494,48.772942941125955,52.549899168874454,56.487800156197586,55.52003990403283,50.716521134931256,53.57988055421239,56.416206356293635,52.35678103703881,50.208886026202904,54.192674574004265,54.0678572256782,50.00467212732691,52.83916900188366,55.22207967006768,52.38837379410505,50.70165080193571,53.34407383372034,50.377184450243476,52.12683868267369,50.90351045855544,51.7015350225004,50.200783825876734,45.79686397450448,46.80642033316846,45.986152207913186,43.4839197291847,41.1484271320986,43.5636456738016,40.96105612753793,37.299338142041016,37.674530908419115,39.398981467483345,36.48794301851315,33.7625028194377,32.24460865766644,30.55500387494659,28.533665654596152,33.32332349979373,31.91850558652918,35.20618484579631,36.26673517566988,31.72845355576264,30.885598803374005,28.683195510363543,29.834038512262495,34.35838583940589,35.084620468700194,37.829659323777435,37.65658005782026,40.320026602621134,45.46364122375112,47.85782583197536,50.04289292811494,45.214660683409605,45.65007016961794,49.78144715970304,47.67146625183885,44.15780979502885,47.64236527472799,51.556472908342826,52.000024119097716,53.752903951545015,54.461690836637636],[43.331116271474315,40.918523757201335,39.723714724687866,36.02689428502702,36.709979402148505,41.96587560016199,42.41229273289795,46.90563499803831,46.840146462013095,45.65026021764255,48.78354712521169,52.3105832160555,48.89008531038734,46.734757876721645,51.456565841372495,52.12823679957871,47.81043530991485,50.09672902974849,48.20355205922248,50.175382793155975,50.66061816805155,52.34070285460929,51.087041753451146,47.79195974562447,47.12420547554021,45.58759404262063,45.66907140018847,45.25585662201393,49.23370783799932,51.6898158242015,55.90396579413027,56.70926819412078,60.995946513794216,62.60399792471834,59.18798298971002,55.441463773885,55.4022036642511,51.756078115113354,49.1030051363687,52.460874713360504,47.10183721721223,49.83155068564727,52.9539733574704,51.12141542457501,49.24602242537513,47.128248879680136,49.799875109057034,52.459064965315,49.920240695549566,51.58941925965035,56.08438959227664,57.84729974947613,60.22583236239002,56.65958514745396,61.18982800787163,61.5216594357345,58.38653445328933,60.3981595772059,64.4934830106794,63.00097279251385,59.67818664000666,62.490867081389574,62.58008329594488,61.68310998751391,58.30642819980117,56.854427647125995,54.335889878758934,54.33466984438598,51.27210924575203,52.21200913396028,50.08816794157134,52.0141112348144,55.14200717681921,56.09748960405529,57.412282973197584,62.979496764727486,60.628084197484995,64.91703975241967,62.747306357554585,61.81608159809825,61.13661768884735,58.431851422674775,58.54198333155441,56.06545490027249,52.25846841283722,54.08368294716162,55.15289696505613,58.84639007190861,57.582406457652745,63.17411025240669,60.90531147472943,64.17971533377676,62.35245072671148,61.972099510922185,57.88522454156719,59.48874048651924,55.60386678794254,58.38342723799239,56.76960646440531,59.7856393036237,58.43855568383539,57.66791800582138,56.69869901096542,54.73488308462517,53.699267860250785,49.973473116534954,51.70987765747621,48.32879370932371,45.76458712868234,48.51873448600732,45.20561451595364,44.44952912703967,43.9468232296973,41.247544543528086,42.713387367951974,39.50707513710751,41.67188193143463,38.333371936587355,42.54805403592037,45.175400343487766,42.50381022144143,42.2412033540587,37.62911353172251,38.24690535106544,39.424217030237045,37.62455061594872,40.34038630842005,40.30891009675422,41.45564842268788,44.73658161940924,40.70274436418201,44.47454133467071,43.02176323220762,47.035779204512025,41.317388453594944,40.329235681842086,35.85316701124487,34.76439882869402,33.17711797201866,36.873407489004265,33.95384510014791,37.13704897336655,40.03929120767742,39.90636448388814,43.15414576665295,45.64594166477834,43.22378569520347,45.86745874614125,46.663325066231295,47.16520003456629,49.47584118823172,51.74818304266633,56.072183329728674,57.9495282056156,58.19532004539214,57.04797223761151,53.79831003065547,53.16526159585164,52.109277051770775,49.62321794440054,45.6148119420959,47.90855806645894,42.48905650283292,46.55671566671394,43.49053892800886,37.76439084485799,39.56213320920535,37.402114662479235,35.39552908438481,34.16283072306435,36.85609303528204,38.08910618386539,43.06902909223966,46.670303820658496,49.78619028928751,52.86495156374564,53.17299902320619,57.718947026704924,54.49378632408541,55.010368650477666,50.91975723185143,49.07122717700528,49.37620531119496,49.07691469432316,46.41291074944263,48.794795393671684,48.44879376316136,49.98669153032071,45.06685295805482,46.26260123787169,44.89519521967221,45.260020806325926,43.13587758371177,41.96119346393077,42.25885040782816,41.39950449449602,38.74153013662277,41.74920168294393,40.44690721622033,43.25064340462957,45.191780845267616,47.46221943110674,44.12510770592797,41.98072632876386,46.092182173340476,45.32979296107503,39.442323435209815,42.752856330993595,47.98376847710493,43.48143622363873,42.04826370121487,45.67667325461928,46.41884404807971,42.13896980933773,42.935998880810416,40.32428102363271,45.639416737929665,39.46509436286201,42.21864305027582,46.168836149370115,48.00022989183097,51.94675951482088,51.9251218825374,54.6686996592962,52.969659973844635,55.506107217909666,54.4757661353253,55.52566339577601,53.01216462356374,48.534420614330266,50.80260345920115,50.500953630770375,46.175555772886014,45.349752484101636,46.83003214946564,43.508088042281976,40.62172962075494,40.86500835027314,41.65006796711864,46.419182781925514,49.51051224823159,51.161527512846746,54.83567687826073,58.69239900957085,57.47673894716471,52.695686995756326,55.4811656074905,58.06612832985585,53.8236111128013,51.73860110587321,55.53202226125434,55.130121943091794,51.068789842167064,54.161045309931524,56.267410339394544,53.091788896080224,51.72735578438054,54.59596588173621,51.84106116695763,53.88711662456043,52.776081487215855,53.92774185818915,52.24136468005604,47.623241564106856,49.07301200560007,48.382954951995174,45.64350689923944,43.46317025370087,46.35750957574461,43.62698154155199,39.67350901536214,40.46051461325721,42.50571857746844,39.394823663885624,36.42736888720713,34.354929802395986,33.048896567509914,30.41902496713683,34.96376472815823,33.07674274552131,36.481867775172596,36.95930310923612,32.3520650274495,31.98116867550837,30.2789799125377,31.66023666334172,36.253938577335944,36.459444746969304,39.47850515204287,38.700642103507406,41.20511430444719,46.50612379426981,48.94570201211962,50.783579137010435,45.81630329414281,46.302706992891395,50.23775542271195,47.792692331840435,44.22933658105809,47.85831805779261,51.60961382587919,51.89349423816475,53.537937260332534,54.27041319484612],[39.84081739102298,37.577433615310056,36.71435423496903,33.00171573515156,34.181898811267644,39.189195376267314,39.8937569868222,44.44367021404004,44.28575493828879,43.3787162553822,46.505808568279754,50.01515239241591,46.939115803373646,44.68948067244071,49.56141065246436,50.39032958278423,46.271306274174265,48.822145107743104,47.28187690511014,49.423811367271654,50.188935350664906,52.145044188133575,51.060081094360946,47.92336431163991,47.02281421027338,45.136551050611466,45.05394265902288,44.25623113499043,48.045700997979225,50.266770072901814,54.42094906155489,55.11666658992715,59.366013936761306,61.2379998309843,57.926570594874434,54.32115417282523,54.188192460395705,50.92664448514363,48.449783460549504,52.170486649533046,46.89140000277417,49.51297155031929,52.88331968347943,51.18469190024719,49.60730339467284,47.553490431423434,50.47447349650431,52.85891111463233,50.0907965146505,52.117424569577786,56.513159074055274,58.17846955550901,60.47338457567912,56.61034093794694,61.12501034961623,61.66039851714801,58.42107798451733,60.169604582522844,64.38839729408706,63.18280341994913,59.66141362029825,62.26226217837374,62.08401589180264,61.4260864507314,58.141369400907244,56.415905090378104,53.745762421113454,53.41523257713739,50.248604156847385,50.84628313800075,48.750580230353066,50.68269358532194,53.83429053218041,55.13389668541791,56.293556628965746,62.04532920841694,59.84963274885627,64.03731508773616,61.98407243297737,61.28746981512596,60.42875385773111,57.90602183486598,57.733374579600685,55.52324770450275,51.71807630648847,53.278126660780465,54.48859146903347,57.908001652174036,56.7317663186907,62.114227648134026,59.76535582709618,63.001789329520584,60.9506789155341,60.37803602173282,56.15018498823215,57.58340973280248,53.58132360870225,56.45155586318395,54.702393628289826,57.552178483323154,56.60241180039322,55.741019637143935,55.1327365166509,53.05438280355978,52.39391419571933,48.4214979244252,50.18192435636324,46.923947761657374,44.05736988374357,46.68477815139958,43.15159948493915,42.64306790500343,41.875349228697736,39.459201278558425,40.92268579029508,37.915570514991224,40.32680350922241,37.28767305467944,41.65889497488308,43.92048870244585,41.06943655932927,40.52706661290014,35.91603537253051,36.31394158456549,37.22528796456923,35.708102628655986,38.08686544755864,38.488873802589914,39.76587388975547,43.377572460638966,39.40702581658273,43.345829919897426,42.24239272588641,46.10611059443235,40.42388816765934,39.17216804766584,34.524169766710415,33.548517733549446,31.982279878672525,35.85460961967775,33.35388940911498,36.919413776077675,39.46483416952396,39.07532551393902,42.45674056030439,44.58184880016907,41.98881167581881,44.34555846195581,44.99872135292428,45.14469708327057,47.34914223940497,49.36537828901434,53.725233183423455,55.28862787113454,55.71396283226548,54.81578370229962,51.70626650868086,51.17920161443379,50.357653430024214,47.99932120252576,44.333597091823556,46.819057177088794,41.64316203275962,45.91434794164244,43.07927109788381,37.55244780836376,39.3903072368916,37.64083885492087,35.327494472339396,33.831891207003906,36.30387244378291,37.35613818384209,42.35416715764556,45.860124774971055,48.84210538202278,51.711303215632206,51.879838759635874,56.546449749401155,53.62230240930607,54.11330628321396,50.31781273816982,48.03034350809881,48.74022749166602,48.73860957802095,46.04828788275782,48.68046383533035,48.29020752088424,50.20777326432392,45.48134747241794,46.634918910770736,45.40783455622686,45.381473764639196,43.194045941737095,41.72985425886471,41.89080217271144,40.895825384263425,37.85161801084985,40.659759591967926,38.979413022217265,41.56329066683032,43.39312434512075,45.439784822041574,42.03725297534888,39.84085462516412,43.8383963946859,42.83876381008121,36.87994844462079,40.19603065481135,45.29538973649194,40.56706608884381,39.075870255190296,42.657832923143026,43.269633987603314,38.86932759463076,39.66237910927408,37.21794781838603,42.573009731789206,36.71831975086894,39.58511909651748,43.496053703956186,45.659156581813896,49.49838380502834,49.80196701398989,52.58432157384864,51.04102534572329,53.74602245467727,52.753934094508644,54.10368514921892,51.488810598267,46.88778106028024,49.41585797611103,49.37179108534755,44.885349621669235,44.08061052725523,45.913944136920534,42.6408403068638,39.45386437226766,39.943825602863384,40.18664722141136,45.08311575871893,48.15098417854767,49.45029862575605,53.13483679333202,56.806228412698935,55.59304828368427,50.79794841928884,53.319466097480486,55.8305932905988,51.57260557489356,49.355354898265624,52.959772854050854,52.437152045180795,48.32831773060802,51.441870185439875,53.383570366635,50.05133858189468,48.75626582230057,51.69774709345804,49.082974627349124,51.35149083445395,50.432631677664794,51.76453241842858,49.840328187627044,45.18325851617482,46.988771456387425,46.26724730232742,43.352991291702,41.43692554849998,44.601661732916696,41.67060002267885,37.599980530943014,38.824724487716885,40.98812530114188,37.66182419370301,34.562028566024175,32.11647673768492,31.012037727086547,27.965441654566636,32.25515676487123,30.173689458853477,33.71816170164845,33.9699989066248,29.302691042046035,29.27452294474812,27.839818933022414,29.5372668111241,34.13142954228808,34.276423841067185,37.60225389879081,36.62910165075776,38.76749088610534,44.20553231089956,46.50179644016775,48.29789387463375,43.28264069787427,43.533061912877635,47.38652139768875,45.02335221351673,41.231168346575046,44.74517330466601,48.48195250934114,48.824173601976824,50.50895060942802,51.34648165919613],[40.25666213038389,38.290012013212376,37.944417944596395,34.072345180596145,35.85366952077376,40.38772355510239,41.233563317888525,45.812886068910984,45.32688479916052,44.523683853222224,47.49904203136734,51.11202559237418,48.333834656453526,45.77767202247051,50.699183519888486,51.779657992572716,47.79196999323633,50.36545451230273,48.864843429067875,51.30779318782605,52.06181184646654,54.266663133313244,53.08859079898121,50.03038273116343,49.21812698705097,47.094195816714205,47.162327800259135,46.17654091070483,49.85580542005311,52.0364798330376,55.850485177875434,56.748205650830904,60.88362057228272,62.84554845132792,59.72141805532599,56.15142895712771,56.18142939745398,53.08843287944768,50.79177204304588,54.82611497019883,49.46523519683596,51.80789011727149,55.314850914668014,53.80321472722394,52.32976523954814,50.47394130846391,53.45115983907633,55.68216405136787,52.993574832905615,55.25774242245965,59.52463282128537,61.24570989041655,63.39178523959773,59.410287065479146,63.88561443186544,64.40497205990393,61.01817476867801,62.656631001926584,66.90791058580031,65.75978488035383,62.02935434895665,64.39734381022372,64.06028384414314,63.334419321400475,60.22213588047868,58.45274437655269,55.445246822759614,55.01371582258446,51.57998081496494,52.00147644853901,49.77858828925437,51.48672183099603,54.83988050364037,56.36559677464675,57.67124122243187,63.495996814535985,61.60526163979814,65.7887058609146,63.95205011286366,63.48843241672209,62.707016418211055,60.41238981402026,60.21256192395316,58.25179935663033,54.3738497786745,55.68079113190244,56.77272572257048,60.07298728990234,58.70350427354188,63.9257128326062,61.365558232297836,64.40473778813268,62.243099006514825,61.65514842566735,57.37900914781931,58.56704012668214,54.526519971301354,57.71384196127141,55.99382432741647,58.86671428606682,58.246845990432284,57.54819790165906,57.163379499759294,55.19813285777584,54.9167021867788,50.824016750803935,52.71107286452362,49.611028419222116,46.5396669622781,48.979838391054535,45.22157693916859,44.77719201623055,43.64300082733448,41.38299814379837,42.5596012240125,39.65319477792663,42.05800418541451,39.12625542117418,43.28469106373542,45.41701744669917,42.389508899615585,41.80423111480431,37.307995551660774,37.7563520186167,38.63289295061535,37.607907273928184,39.89878432183337,40.691431790317004,42.17839936118049,46.01269003526442,42.22305792498029,46.2932890808122,45.358146833569144,49.051305435958945,43.37338824869353,41.84382565581907,37.22707154145704,36.10202765389126,34.35247156035186,38.27493916817,35.769985410526914,39.39035864171212,41.68898828809361,41.33275746074077,44.818150401198736,46.699409645373116,44.06770298941299,46.296441893758164,47.004792296405526,46.83395554193796,49.1032370823451,50.765621449334006,55.24818829653717,56.41887278966923,56.88876521147851,56.28128666504428,53.23857086108216,52.970820973674584,52.19822248604104,50.15833573826409,46.69848291359827,49.1148173761109,44.13484031272109,48.512643863173906,45.95890163427747,40.541636255274966,42.58535872620694,41.03856509197663,38.71492647383615,36.98260659578698,39.379478114407306,40.170471839040935,45.171787933875585,48.57994214912701,51.40431602429269,54.17124176935087,54.07880194792805,58.91072735562818,56.18601088186666,56.77702744466745,53.18011909147916,50.732916590140064,51.77039552036376,51.947379251715866,49.18173345355494,51.774883202918716,51.191883042061626,53.35067036179842,48.664647381897076,49.986684832782686,48.91462809482008,48.75603192201201,46.65676445906423,45.10995060227453,45.27068847567202,44.27501561486849,41.01823563551077,43.72282969961523,41.811697298999086,44.17528564747743,45.95203547083225,47.7695637185878,44.29731372791457,42.12120778263617,45.988691792310874,44.72689960251524,38.74737196332472,42.0561501500285,46.96775900814862,41.977096960580184,40.436313231098296,43.922901722734146,44.33874089536904,39.789515507792736,40.56057720361827,38.385072553528204,43.71218325830768,38.257885816993635,41.302694246076584,45.114140135601254,47.57985925844564,51.210589762539456,51.8635230209055,54.756307579978355,53.40416594750942,56.260001464493854,55.33456198896841,56.89847007824977,54.183263803279196,49.54618233676179,52.26998582345326,52.37414378777765,47.79437488860856,47.03969999803732,49.09289333606123,45.82871211321454,42.48296443339844,43.14989032302023,43.034064830716424,47.97681030407017,51.02863972731798,52.05705466141932,55.72385174049955,59.22960490678262,57.9938874921428,53.21721201170445,55.50495616096844,57.91042548951131,53.63001416055174,51.32803240115852,54.70944320060787,54.028526636500494,49.89984510406702,53.04187605749241,54.7640583702918,51.22598850396108,50.05078539389803,53.065127207849436,50.63435489047668,53.152334285315526,52.45567972000807,53.945477583772806,51.763307311738636,47.124420647558914,49.2713813396144,48.47535433399907,45.41539143644323,43.800982665762916,47.126961706624705,43.969805999181546,39.90171313253679,41.50754508711342,43.65143041186678,40.11554005153909,37.00138230589128,34.306680264010424,33.23359855862343,29.8923921823964,33.82651575492447,31.671151820867436,35.38610064389611,35.345344306338944,30.6543452540688,31.06736930308815,29.93862444330478,31.93089319607977,36.48164166481308,36.51701691572179,40.07162346576372,38.823563519225274,40.642641619326206,46.171085821040315,48.355902979693546,49.995259294236035,44.94474634331331,45.021938804830455,48.71004757884417,46.31140694214671,42.34870982076921,45.76773731488557,49.40286215781121,49.723043031554525,51.38232509148093,52.297241504429145],[36.475218773444674,34.689446064314346,34.694690677243905,30.54459820829932,32.791674389048374,36.82169343493432,37.73194639054907,42.306471667142816,41.548999907686856,40.87166503256308,43.736570125395936,47.383780322838675,44.913411366061275,42.16853953701041,47.14973371422877,48.423597562450375,44.63635380538,47.35536993118573,46.12844235574982,48.79473581522196,49.7485611945497,52.25327078786882,51.19089406911711,48.330871185428215,47.36262307679299,44.88298341451127,44.895356379268414,43.564931430940526,47.033813123921945,49.04596690947883,52.62274501935838,53.56405039902268,57.59531176814697,59.72959101905909,56.77867316588285,53.33093398592348,53.40503673531242,50.65256330979803,48.59612981020784,53.03336437025277,47.71957023224598,49.80223736729018,53.53619665845596,52.24295506806098,51.07593420667965,49.40947021511726,52.60235115047001,54.49532422254161,51.70674034754719,54.39831636034242,58.46568214741426,60.15216218087279,62.10705246281821,57.853684428169764,62.26572437050371,62.906265129801376,59.37402203722045,60.74643784337292,65.07585822417728,64.18268516204022,60.21012090205275,62.289833733470495,61.680583647815084,61.1236133381478,58.17007922684449,56.17961622488618,52.94659014332038,52.23082813495255,48.65662285312815,48.768802162007496,46.54632618356409,48.19202394877451,51.58489101596732,53.4230806772245,54.64697232192802,60.59524211476806,58.9406860883459,63.02678422416053,61.37857693062204,61.195527129590474,60.348363476981675,58.328691491162836,57.96025717742364,56.35263618913519,52.440718258953694,53.399556444621425,54.48369674944026,57.526828090974064,56.10705849878707,61.084677491711396,58.39012881593252,61.30921396031837,58.97081793704207,58.264802279602876,53.91257002895831,54.901469011849144,50.80697779209872,54.170024839472305,52.425920304666676,55.26439665673807,54.973430127010154,54.39658787699686,54.274709337781886,52.4151349888363,52.6011896161285,48.37817340383463,50.4564103663722,47.60836243670007,44.31351499126199,46.462867978609204,42.45998944326944,42.044875812235816,40.52188618228487,38.46376609773808,39.40439380352356,36.68307837296992,39.183172066967614,36.5348432985708,40.6527522342723,42.44672248850833,39.2617467942185,38.491776657249154,34.108657900454226,34.4729787092316,35.22914530733638,34.684921414666235,36.876415677249284,38.07779259233774,39.83184174161292,43.914955559139536,40.463643465087166,44.72662722340879,44.017830913475194,47.38781448768594,41.755465005722186,39.82627633775073,35.29894924627981,34.00799901579401,32.12258237665,36.088330018461996,33.861707786806896,37.71557800976088,39.581907141870865,39.082505478060476,42.670778212258384,44.16003387150123,41.442479507273255,43.43183795471999,44.1362035020999,43.62121393423702,45.93582784085254,47.257727898551465,51.8431849507092,52.68881021556453,53.16984117295317,52.80861985367447,49.84741147878512,49.82048202558391,49.13130909946012,47.423318096666485,44.265459812126366,46.66832265591106,42.00992450103303,46.53005636755227,44.37025760471369,39.229869190364695,41.48884482312563,40.408257842389446,37.97883188299989,35.84932802557582,38.0414845854766,38.44725879176705,43.398574468525254,46.634761513167035,49.22951485297106,51.81043481026296,51.43451699651522,56.42317371901592,54.00453711310917,54.68515725851591,51.423210989272356,48.69391408333003,50.2298459263608,50.72681782365985,47.867151171822584,50.491114839981904,49.705214349978036,52.29132939502051,47.820214076190695,49.26886541370429,48.48020501855617,47.96110083689801,45.989915986265416,44.2594046078422,44.432400886067484,43.517417014350364,39.8934336151831,42.49141682169766,40.350965404390735,42.28699219319753,44.19488496750736,45.60738692009367,41.99346170948157,40.0828871554733,43.863061306719,42.176624870699506,36.29345737956217,39.79407133169096,44.40881693763656,39.09512497718984,37.72785298556747,41.21819280420031,41.24306238068359,36.64256014336367,37.72776882045698,35.81573068316055,41.27874010315715,36.45226645928449,39.369914852766726,43.16560845306681,46.081946160424295,49.65889403439606,50.639090499393646,53.35524877133627,52.02372616747994,54.92878473862477,53.831013384377655,55.79419286189016,53.18246524236528,48.271348664688794,51.11316746697085,51.68375550536283,47.024475067198146,46.078148555747866,48.40822670771769,45.49839549254474,41.86629294875119,42.38661496512894,41.78625486117808,46.54272586328388,49.6585464190534,50.391834273289795,53.905199433715666,57.26997321300745,55.834227634858884,51.14117400365382,53.30938746967402,55.45468911476819,51.07923850142337,48.859882817828236,52.030827086577766,51.124300256531654,47.064779705074,50.40556522521048,51.87686167643815,48.111711695292016,47.25815825138406,50.446932923335005,48.22944033783868,50.93974910532407,50.307189830088,52.130788397199154,49.876465463921626,45.065316001887545,47.56760383702687,46.9906785429902,43.77187195301346,42.2694167843657,46.059830110082196,42.94916596035495,38.60649610462259,40.53415357248109,43.06317919175725,39.51377603584464,36.16468390687873,32.97161980016501,32.52140351535708,28.704615870532994,32.28690422396254,29.58629600334416,33.165017345963136,32.560345304938664,28.016147381365112,28.804054173207355,28.233273374254,30.306718876236896,34.72681488216668,34.28911515590044,38.017221353498584,36.31467364991774,37.86673517142583,43.41847062479269,45.56847446660757,46.923932500962366,41.85552075399136,41.929271733684836,45.405785192739515,42.83578779671796,38.86515931383857,42.334143603064724,45.79726274848818,46.01158270558007,47.59161524951404,48.53742876408856],[38.5649060186673,36.974680134546205,37.271606902457144,33.610309555863196,36.16841144614805,40.22587467482894,41.508062327055946,46.08053571781754,45.474239632403886,45.124077304992234,48.02362759740643,51.56259121100018,49.330568686222236,46.662511971772986,51.70927955757586,53.00461323149747,49.331398049127806,52.18032205501649,51.08696961931507,53.717881128932575,54.742562912970406,57.2206750000249,56.19412325817921,53.311372025598146,52.31433402268351,49.86282202751291,49.7813693296787,48.39355121592916,51.80214506674172,53.674190490732286,57.34234170955152,58.11182057553602,62.149872513448386,64.42664515230672,61.46856388404588,58.10226445634679,58.02526639776128,55.41090251679818,53.329539283238205,57.68475367932665,52.46761568165851,54.67901031625271,58.396579898967545,57.02203162089449,55.829042606233976,54.03278459598536,57.200188725987054,59.186282695425625,56.301145638291594,58.840784044467796,63.00801013902962,64.61002171122081,66.68935904275797,62.455961734698285,66.90463109936898,67.62171067632464,64.1600637527647,65.53052559819137,69.87858758284612,69.01306348750049,65.11221302214416,67.24412096049039,66.62712639747166,66.13209762297369,63.15317023905001,61.127199279397836,57.95100837846564,57.17004269493819,53.61457364273255,53.62574874455869,51.43065332691764,53.06336262817534,56.45964593528755,58.388958671501825,59.54982491522177,65.53436758423503,63.87169693861852,67.91392787844983,66.23806697607016,66.04056167901473,65.07070859922864,62.982905503670494,62.4606926738784,60.78935021953236,56.964914432666106,57.98977940847855,59.23667411114481,62.20100254223618,60.939232246073395,65.87177269587455,63.22143397808098,66.16319523729281,63.745813202402275,62.93325427706407,58.520435343428154,59.442159294880625,55.29133111678045,58.60113265206418,56.71697265902837,59.31228554581525,59.267504140325656,58.4234402914531,58.535715869991776,56.398288671339884,56.5479379678807,52.18760935468626,53.994946453879614,51.04153457428016,47.639208996744465,49.94455801708235,45.990221899549255,45.95843317333685,44.52889842403198,42.71586016738033,43.88128791121346,41.29368413632747,43.94452738902518,41.40947705107415,45.62997372388798,47.31912636896152,44.114955917947036,43.20759536286327,38.82850904935618,38.99356310903738,39.47784957807104,38.85488811249268,40.56353663021285,41.91591616199787,43.47258624358143,47.64032836312492,43.896844224599604,48.03125051221682,47.54783537263658,51.08962113262521,45.56773801054996,43.84556345831592,39.07473927339318,38.215639774830976,36.576948101870464,40.59758554446786,38.60077538635915,42.521677893535966,44.43489547775667,43.81874236696998,47.38744827820024,48.840567075694004,46.0526600698957,47.89124513844706,48.388967187055044,47.74800237219474,49.79627441357132,51.07292363494935,55.5234927689379,56.19040192210988,56.96827975804704,56.748000430924485,53.958223285421454,53.82041461470212,53.40017909118749,51.51562713380498,48.542457641680244,51.1781838895365,46.53820609192858,51.06722851817483,48.74821304700024,43.598719319909314,45.58028589592347,44.39977291826907,41.785703676756505,39.920330858629626,42.041107277027685,42.702938879848695,47.63614086534523,50.906759922892775,53.567555175122635,56.05149018606493,55.83045848260613,60.73377552922381,58.382199625577634,58.90543961669571,55.65747895891444,52.72862585366151,54.14215859703439,54.602553755249865,51.88378150259029,54.75742109052015,54.18760505205325,56.656038263363016,52.19634625696575,53.408299384374835,52.40818256598356,51.92109283045827,49.69835917825326,47.86637234922119,47.81975545559113,46.59599813337476,43.038907492731674,45.40281618633196,43.03814175326026,45.19612749724866,46.636803152369026,48.23587597613045,44.813750937036815,42.44254660243644,46.01695504361059,44.573557625211684,38.58365067218065,41.65318668691783,46.32874245599254,41.18058986117593,39.437227348865626,42.68934599975032,43.04230091432095,38.35863009261186,38.86350481305364,37.013323848507696,42.13986663677024,37.16523898262374,40.4842762177981,44.0800331777385,46.8616473960998,50.12950364371828,51.26794605041001,54.36604150602788,53.3552708309146,56.45542040445166,55.76281801169814,57.578307316693454,54.6328443491781,50.0848865646199,53.15583773582482,53.38019530291779,48.672427017966456,48.12763719089024,50.564867615936905,47.2032511163608,43.63619056845964,44.82752994258052,44.08922785240284,49.248103972047176,52.14566598500571,52.69528051612835,56.40787151758539,59.58587309126049,58.508080889714044,53.74411617895037,55.54164646558195,57.92161158530928,53.75112065454864,51.17967779226195,54.2278044727255,53.44101169026675,49.25286272716702,52.24107952832225,53.72494515071359,50.040238682937606,48.8389895160444,51.83274628116669,49.62413131943361,52.450167644470305,52.145875445702096,53.734693290489105,51.13538780518587,46.67074278415198,49.256799599003905,48.23369043607274,45.012285130975584,43.936541282930555,47.34426793619101,43.81239229154117,39.88579373747645,42.0744179824941,44.05424030472943,40.1989666876406,37.156876357605555,34.21870432650113,33.087747221874736,29.448969480157324,32.80683199492183,30.77195252004677,34.74416430701232,34.55544073033537,29.860241096482824,30.82328292319461,29.978416216460317,32.45603061527194,36.869443880160425,37.08341676413497,40.97348586852166,39.64961638598739,40.843675056185994,46.47148464760466,48.340575463121134,49.99659127226218,44.97783969766936,44.57604718204929,48.10451758187644,45.995984997456425,41.66261708057383,44.71245595150935,48.31284306787291,48.77808240216306,50.50875181797686,51.60252111509287],[39.136003895407995,37.21300264640039,36.9555174794555,33.63564178209825,35.58664662102005,40.28955922008617,41.53464940673358,46.11031814788534,45.951313075100835,45.564762622868386,48.678873764005715,52.0880508044366,49.54352532842204,47.2428565007317,52.28040398845654,53.286578173549195,49.4566792086084,52.31766457085519,51.17872485192036,53.45820763248037,54.49346557629178,56.6655222008489,55.73033678976291,52.72298643802662,51.64231497106477,49.48826685276366,49.22486483162072,48.05566296703489,51.60688932273925,53.5082675026499,57.625135687659224,58.11710981955495,62.31384616956667,64.51865457075245,61.31892642047037,57.910489107668624,57.60152435640738,54.79639879223063,52.47632839506073,56.429027565861624,51.317209907945184,53.903690984316285,57.448592894439436,55.82181191907723,54.46952012598319,52.39537500786397,55.468552243070626,57.693638874607196,54.6984906996163,56.882202697950326,61.24620995337729,62.76497232756739,65.07435842863119,61.00785106991729,65.51544901193648,66.26590279620754,63.00260276159582,64.52485787314481,68.8419834842524,67.89036437717229,64.2626676677868,66.70461553590346,66.2951116777118,65.8666710506676,62.66589161666592,60.70271134189008,57.92613892662617,57.27202414449488,54.01362495225169,54.229694457479404,52.16806134673536,54.05569526902819,57.24781748953745,58.9211866081321,59.9234126015535,65.84365903882792,63.808301860143196,67.86720604135647,65.91562835449574,65.42110975824565,64.3341786949012,61.936504890572664,61.41112932902663,59.397827361427495,55.67985963834996,57.046959316379656,58.48085034427296,61.58975902612824,60.592117441698086,65.73346698233732,63.3388546593377,66.5301054298887,64.22829771715527,63.41427976034722,59.0283927882152,60.23397967359253,56.095114536954696,59.030156074915574,57.06530356426112,59.57555589800953,59.19456543834805,58.0624059060304,57.96908274686086,55.59184305513246,55.25126970212801,50.97749048800812,52.53033981414414,49.32394344672362,46.120189968195255,48.734277709432575,45.05871771201558,45.08625613916505,44.13032710106899,42.19197870860871,43.778874034420575,41.08267206027781,43.794893108245276,41.129873431228354,45.636582602981036,47.487262359334615,44.46602081040287,43.582255855687556,39.02739468867932,39.090440409875995,39.54781591084682,38.299779881139926,39.96552239517691,40.90624568853142,42.14093784414787,46.085922500452746,41.9823736116062,45.917690334403154,45.315462802477775,49.150231306871916,43.647819300018696,42.33791430545945,37.41658741752355,36.88163725828964,35.52548050681512,39.537699638428435,37.58539555388116,41.462069899685204,43.70373035407239,43.027949537583005,46.48395636973422,48.2370164339653,45.46483403986734,47.430413952421596,47.80259026309649,47.50830742271765,49.40297414884131,51.11409592703723,55.38990601952094,56.49265401287711,57.31586949586205,56.7775720539957,53.94371792445899,53.44858203642676,53.049438263011126,50.70466717841351,47.52185250282116,50.32395242957492,45.426750397107135,49.841929114004785,47.11691694635528,41.814131193369136,43.454083081537554,41.97766622353336,39.3093713768682,37.83117746146291,40.0226532010455,41.09667013650047,46.037555766369366,49.452483221257374,52.341701487000094,54.93203339686864,55.08371306928799,59.77187887215651,57.18216602008494,57.53085954887167,54.02622729948465,51.22310466432639,52.18148044091607,52.39915330190318,49.8233786512022,52.830865798777104,52.567237027595496,54.69007982074687,50.160456977456924,51.09426991558372,49.82064360371412,49.51754614324741,47.095448521193816,45.33076311968659,45.19438823015808,43.83705800036638,40.565224492484646,42.96355145840012,40.77816309032942,43.32346103581876,44.63475282294246,46.620393693251906,43.34889349984493,40.73445217436499,44.4112801118637,43.40448311203851,37.34071887711108,40.25891243048929,45.24750105176971,40.47147688423187,38.61272197591281,41.919383255101444,42.67847665849962,38.10985130571892,38.39854555737125,36.19138018841258,41.25476120039073,35.60991331306884,38.92096819958632,42.58822153371303,44.91651302929781,48.35589118185447,49.08735952575777,52.238267557948994,51.1286022681998,54.13907015147401,53.54698350320013,55.01485465409113,52.02883878574446,47.68043203422643,50.61823914193843,50.48070827813219,45.85099495116809,45.434536197496804,47.645640893339774,44.033786214602145,40.69123198611376,41.9873871954777,41.638652976160316,46.947727504995825,49.778904995890095,50.59945707552086,54.44158576607817,57.76648166093019,56.86900635386837,52.02976664955454,53.97967725758176,56.61066240047601,52.536063864106545,49.91169792099637,53.21513729463004,52.682156024114455,48.440295668386284,51.25709652398823,53.04496844577977,49.643357407063775,48.12642163173186,50.955207710720835,48.490427693801784,51.05425714014556,50.60322789315368,51.88365098598629,49.45032095372955,45.09375726198451,47.28378536284869,46.13948488353497,43.08789624167846,41.80958836964075,44.84097170934427,41.37258440826773,37.61747889630697,39.4553988146156,41.192127476667714,37.429813947396106,34.535445210505834,32.02253901493475,30.48137176528459,27.268527621982308,31.051035733599786,29.4101347093259,33.39979441074766,33.777667026825185,28.974362745680644,29.457831488186795,28.076990326650748,30.406208377346168,34.92093919182911,35.5661305171864,39.274524635451144,38.43698349482112,39.90199462232409,45.487336605786254,47.398255545430516,49.384323529933475,44.39580788177684,44.02565484143296,47.81526775030583,45.91399424330261,41.62076740183574,44.66072812854738,48.4755603641451,49.0674102237382,50.903962902590024,51.9634712975428],[33.27557092228236,31.208610107662246,30.812405974062578,27.36116982494373,29.307247364157817,33.986738535858954,35.25197666004751,39.82538990254117,39.75243580882765,39.49308022229486,42.676393094139186,45.984076636253576,43.53711775703236,41.38174804811253,46.47143355442539,47.434257394364714,43.739386686844554,46.81800561234729,46.048277628694784,48.26248145536259,49.612059107989644,51.89791796432167,51.2466803072142,48.42006332530008,47.00458923858545,44.64275800614381,44.09042444213512,42.64288040303256,46.02210911228322,47.703202687028394,51.944761045582446,52.20387913932767,56.40842115453207,58.77767393856867,55.581847999059654,52.31515805158739,51.83006090699056,49.32904606417932,47.12244916648251,51.26228646482983,46.33435514108258,48.915590497488274,52.61523100025535,51.05536957625248,50.0137466032777,47.95559636037526,51.26097498402965,53.19570100307544,49.9458005136745,52.4343259593855,56.674037562644635,58.05897831127225,60.29491728312383,55.98723520089223,60.46672701686168,61.43263595817501,58.147574345621514,59.42203052659802,63.824472523668454,63.16794302817694,59.46117805674818,61.78734754617469,61.18612415737295,61.08602072173133,57.895418608915215,55.668640629229074,52.997927215661036,52.05441497516188,48.9348354005167,48.91715823266407,47.02439635970218,49.109237242532814,52.09901773341724,53.94275742888073,54.636539821086735,60.648404125064566,58.564939920761276,62.4873286351691,60.52708778580213,60.141666585137855,58.84230854552023,56.54281432285807,55.7737765873554,53.94738913465236,50.2791556862937,51.470743313143586,53.079181720099236,55.956509864797525,55.15631126992254,60.14655388754401,57.83008409609805,61.10633492619763,58.678039369047724,57.695259165799335,53.24427049693687,54.47040234390199,50.28549952078627,53.054261855683606,50.98027419902574,53.36582197223066,53.08384824152775,51.85410470114394,51.9092524872607,49.46706672255708,49.32252942457592,44.954633619473185,46.57472859466197,43.50025015544438,40.168629394698876,42.648660036612014,38.87404754023683,38.96015277236345,37.92507246709608,36.13404634674853,37.82787715136534,35.29518463225237,38.21464293224062,35.84684014966943,40.60164346601031,42.10810650262675,39.07994554797426,37.9461283187931,33.3886696739716,33.19547987623592,33.43980004814099,32.20601978734609,33.714180220648096,34.80575403604646,36.12907647005011,40.2265803011633,36.29823374904018,40.367430359124846,39.95107815322191,43.57410359371724,38.12571660396233,36.60381280589772,31.66980534225684,31.193598023459355,29.929241629806057,33.98915383312111,32.521348761731396,36.70931018769268,38.63896653360819,37.67692397144206,41.15866914721353,42.64101507090216,39.76317406840855,41.50930021734837,41.75130793591744,41.330745178790835,43.151984859407904,44.8335904141313,49.09246617462599,50.21093625902307,51.057775311405905,50.52250237752918,47.74497770327418,47.233322331668056,46.95422254701422,44.63072466943614,41.65873997863414,44.60163525352887,39.91697916469674,44.42718103915703,41.88837330269213,36.84816042804286,38.494031324481135,37.452044291070095,34.578400329122346,32.840161745723684,34.79783632145214,35.68711738395525,40.569207013297785,43.87527781485158,46.64977953610602,49.081790548146415,49.18489961876926,53.888794912813,51.50414730189732,51.82518972083211,48.5592824332523,45.47882394194111,46.74935846076661,47.22003879334575,44.61608636163394,47.7837385125154,47.50174426743401,49.93932988687339,45.685379661364415,46.556250129498125,45.47179610139714,44.793643370570926,42.390635279861336,40.41362052270662,40.244841832341706,38.93366841411122,35.34068573053256,37.671049500132405,35.34164356793261,37.588942368509024,39.08491210708405,40.81081439031623,37.41417848927362,35.03756587898369,38.76337616232586,37.49082874660195,31.471052660953756,34.65814889210828,39.53768377254109,34.58307589311656,32.94124880953391,36.398827326771894,36.91375039558447,32.37634780484714,33.0620556892101,30.84713076505546,36.19531347290039,30.839554461971346,33.85262731114802,37.658532427842864,40.2956341209272,43.927095816129146,44.725822979650594,47.55557213062194,46.276714578745946,49.2295094227758,48.35557928037196,50.14443261280069,47.36411485750501,42.66030474058439,45.60290141705408,45.93243588492738,41.246269723679475,40.53895727325249,42.94589931615407,39.75915775938387,36.14293566653357,37.133351977264134,36.44295103200303,41.55104028115137,44.482576714708,45.16766410207635,48.87346284616537,52.187888015588626,51.08082526113075,46.28884719587635,48.30669173582573,50.75278633439057,46.568631088907686,44.080673521232434,47.37272269800164,46.729485801997335,42.5445908221571,45.58672353132398,47.31328104983369,43.82645632315358,42.545838763521346,45.537568603129245,43.11990515138143,45.69588377539197,45.104795880099275,46.658620184919215,44.36454956761253,39.72580254206293,42.059163789865714,41.25583218416902,38.10632461785706,36.66662846100865,40.18769954785554,36.96310832515725,32.78242485875212,34.71864238879507,37.01314385684495,33.39613349980608,30.137854560366772,27.140196379116897,26.403332574532858,22.743218924202665,26.513775129643808,24.171743106491505,27.91157424728594,27.91868877369926,23.19153595812668,23.709456167668606,22.69516964864729,24.935111391303085,29.413744186261443,29.63945750161321,33.42249690491055,32.335519660368355,33.74589727427807,39.34308221045498,41.30908101981504,43.1636744728577,38.15236453229856,37.89308030378913,41.6514565001124,39.6331792492723,35.41592424382926,38.606843519886674,42.382007276349846,42.89650193462759,44.711078865491835,45.74659426651345],[33.1677267456095,31.537791239023775,31.872307212019418,28.414952473589626,31.160220977051267,35.1881989786743,36.727589257806116,41.28037773161717,40.88795064380508,40.885169615908644,43.89303092648227,47.23943383200825,45.24825477794903,42.81499428045341,47.958760768799294,49.19586622648526,45.73723254264433,48.904540012532216,48.29860767424504,50.80137246495096,52.215260866409764,54.76950508682026,54.0877757107354,51.3813356683301,49.99385628733699,47.36143132399902,46.89296781727327,45.185291508832115,48.371336145635404,49.911538904026905,53.807757869920586,54.18508733227196,58.245638646863526,60.78529623031063,57.807985923484964,54.650170797987734,54.26408599002523,52.06056423034186,50.07485488491412,54.5363902265015,49.60287114543203,51.9152135944732,55.769147143907745,54.40278094814179,53.51799557131697,51.633587179894676,55.02279624042522,56.77421891276226,53.54503808662962,56.280643332784535,60.387447669042224,61.78153171387689,63.87753563027739,59.417582315152195,63.84016100813653,64.84169460445347,61.43064082194397,62.53874794040395,66.97880156988954,66.45050309997218,62.54075758643127,64.60744775291728,63.7977713207008,63.71485821003129,60.70813974609157,58.37797498550578,55.39759878959305,54.26975945968459,50.91111280412995,50.61816354233596,48.64103523555516,50.51244059447578,53.665901432172944,55.81549524053469,56.575367878499456,62.67662196242786,60.91596662170624,64.77715475672511,63.04694771784742,62.930665330304535,61.63858344149853,59.591023859794845,58.70689402448365,57.174242644013866,53.48232075659877,54.38119234889597,55.933717142640624,58.5994986737033,57.68260160136539,62.433345868791285,59.92747330526058,63.00287068087399,60.40796695865018,59.33912489471399,54.8193584737806,55.74926596978187,51.51063602148119,54.567427608904126,52.467839071117005,54.7591387292346,54.95297296389766,53.81022334710845,54.21754867313542,51.82290030219209,52.129396022753056,47.606843673146535,49.292168134134165,46.41439123865584,42.838259399802254,45.09742258108955,41.10477972295836,41.38478886349699,39.95412014767833,38.461612345808334,39.89436494153201,37.57247944204001,40.53284735215894,38.39277681177984,42.954134109013204,44.21272847287234,41.00334018312554,39.738738686863755,35.35713295783038,35.11743202022738,35.19702174500324,34.533172114487535,35.7493860052792,37.348442138865515,38.85300650370237,43.195362115378664,39.46884745040606,43.61745269461723,43.474230339193845,46.8872561818286,41.537893462792496,39.753235798853076,34.857530706049246,34.341731818247354,32.97324078375599,37.05069169642948,35.722486914511414,39.984790973053464,41.605007273980846,40.60986812447669,44.17226253779423,45.32258587006697,42.388361521480405,43.89424847493883,44.111708697157034,43.273350688385094,45.056211809388635,46.2927013205852,50.61428558191924,51.214835731901616,52.21163748647694,52.060487558693914,49.44477834937776,49.1948014822602,49.07970712140249,47.08469368047143,44.461515331664145,47.391952962939044,43.001092642947306,47.607432062782934,45.37602411163377,40.5264727404252,42.3081471358155,41.51312247693198,38.59043062167647,36.656129607595965,38.47108845822922,39.1085631031528,43.93020636480386,47.0924932821604,49.672373356025005,51.91977443078114,51.770267987932726,56.60573173432383,54.50999325147979,54.88780708328214,51.90380193577268,48.57156923548956,50.205389672669575,50.89303428070645,48.26137881468795,51.45533440461209,51.02729358672158,53.72281917191452,49.56670210726891,50.53753898071759,49.5928646045855,48.73992926319354,46.389753721783705,44.293815955256704,44.06779152363546,42.7001137622544,38.89930888294472,41.017680587670526,38.3868964239671,40.364699325401986,41.67869440992136,43.124975810614146,39.726693016368436,37.32086108606977,40.78478228310634,39.241352128036496,33.27508408035967,36.3158944204299,40.895189291576216,35.70328957743214,33.95157572345563,37.194879459939116,37.51332295540039,32.827364260261675,33.370701351981786,31.552479045875394,36.73957811987841,31.980153840272536,35.22482302129615,38.819060042422485,41.80634106914006,45.08703675674384,46.361670281497624,49.347337391521876,48.36221703657158,51.50743268243381,50.78436428045572,52.813898350577105,49.88583051769159,45.23398355940362,48.43006780466927,48.90231174809516,44.14181396739065,43.563186671924264,46.245310633811286,43.0470540177943,39.2829246188417,40.58652066776777,39.42199647254824,44.589354322614966,47.426414378785246,47.72252430962207,51.40534085796722,54.44708681008318,53.38825403827009,48.64822277878697,50.27956240888566,52.6170187608559,48.484845800163534,45.842802546966574,48.79976615211478,47.98967372308696,43.79281028294497,46.77473370137788,48.214776922781574,44.51682644431115,43.332515070261415,46.357514880802114,44.197167441097676,47.084176976751486,46.834004330021,48.53956381791168,45.88796736188503,41.374943255944025,44.134319253222024,43.1845751046349,39.88533980111329,38.91902881498375,42.55113332516843,39.03045545914868,34.968583495822415,37.401817224053985,39.576201620443825,35.71005804727804,32.52849950780862,29.300285305990457,28.556143954507938,24.626594098306494,27.771822148474712,25.472066995611407,29.404210891297076,29.09706428967935,24.43408594212294,25.563840217425767,24.948239111510674,27.565414746551024,31.86407852798217,32.06368176494217,36.09540611262939,34.770134878037794,35.66535430181303,41.312761884207326,43.048650732735034,44.76814223006137,39.77981193962887,39.190714183362225,42.717690215373906,40.798646811918154,36.32416543190115,39.25818495579707,42.912145272234916,43.46605160642405,45.278244080317634,46.44795408312983],[35.765157260106484,34.12325082978854,34.35433168482116,31.61555540615262,34.191895014841165,38.604038511237675,40.41314505054662,44.92660751120465,44.93675246044087,45.16835042791767,48.31382247335479,51.480961948290336,49.497203302440056,47.35029758858442,52.51724405342852,53.59520330073972,50.13767257771675,53.39472791511885,52.84820969916522,55.11684844091999,56.57720543769064,58.92646181297524,58.31563174192172,55.51306137303183,54.06931644721341,51.64256170417906,51.009344453862525,49.40155372168456,52.62463871499155,54.07481247071683,58.2977110885385,58.37630770530946,62.526908891962094,65.12950982307426,62.00772525880607,58.8935064954264,58.25236059617432,56.04315925220445,53.897191611300734,58.0385902423898,53.25053206431893,55.882017999169044,59.613270286337276,58.03199527039329,57.02441127228829,54.873821226190046,58.1785308094905,60.151299557236854,56.7880826972631,59.178548984120916,63.48084602117587,64.75452484091781,67.08838202994535,62.75453907318077,67.23710330113313,68.31552952607686,65.08296486118425,66.28468515097366,70.71502780958883,70.15208358755999,66.46717663930008,68.76055675451374,68.07251690510861,68.07133124888036,64.9130320879229,62.601290962287436,59.89832693472671,58.807143062050486,55.635604170956704,55.3967745312721,53.51344344967814,55.509475494869214,58.5545485262562,60.6138521103304,61.24427667253727,67.32816909139459,65.34311689168229,69.17775304511535,67.26359166253403,66.95754121170553,65.50010119058223,63.21309397836839,62.20595481907032,60.41406070595667,56.86930879557462,58.02823917055052,59.81830226930916,62.50539523944567,61.872097477598686,66.70549727365328,64.3910680050645,67.6263542798003,65.0450534259059,63.89652662899378,59.355837983363685,60.39873179844406,56.13656260563255,58.92056454187343,56.6678209668721,58.69752843547825,58.889720006767334,57.351415188345364,57.82686577326504,55.06022108172689,55.0310244385422,50.465534197093184,51.74708996053317,48.63662502437064,45.11113295268025,47.6858619914684,43.940715022223586,44.583201760514974,43.53563446162488,42.17144573974424,44.02459735413523,41.74445158143864,44.831128941299006,42.68919769989365,47.469649707367104,48.761670926312505,45.653675168036884,44.320211092549,39.85628269150568,39.42684930466824,39.293639272388916,38.19019952775927,38.9796685636723,40.4301522851364,41.55280559261959,45.79575595742436,41.617200142569615,45.49711740166515,45.484470712693344,49.20724497176281,43.99780702303631,42.65436512189824,37.50142465813537,37.5419626642946,36.5425580406245,40.6291780360314,39.485590508148796,43.74143467350856,45.59978942756277,44.498159034075144,47.966648603060584,49.27307193952847,46.30810251247913,47.77277140449877,47.74895958836053,47.02793977423131,48.48406891105127,49.944090611967475,54.01544612293547,54.73082754230646,56.00395054418647,55.776856021843386,53.290505254703994,52.72916480969183,52.85030772218939,50.435700819186664,47.847979707940915,51.05274153571402,46.53376535530054,51.05950807225052,48.46054272269613,43.528119551316095,44.8706132982281,43.817080391916775,40.72623077427651,39.258393648761825,41.04820800097037,42.142534367896296,46.9290929058972,50.1937762591659,52.95789239529811,55.181817840548455,55.390159226680105,60.00522200089544,57.82618995675389,57.96502333295022,54.84598657182984,51.43632290178651,52.67887284192937,53.18475930816559,50.77305825270637,54.24519369663137,54.18168726954268,56.56284104662315,52.382475659513744,52.98865611891605,51.706908824567954,50.99244739869595,48.318240522117534,46.18466468642518,45.709974182045364,43.991411214192766,40.452229304166124,42.3571295033355,39.64892738071554,42.05580703262305,42.83869948389163,44.692415741854724,41.59795945305947,38.628294755358425,41.92684110221402,40.90978418823935,34.86286147871322,37.35210009276064,42.14865544658083,37.41440637226385,35.244482364312,38.252311249986136,39.15643932767757,34.52625638528748,34.34449635723709,32.370338038181295,37.11554050970053,31.80628128122598,35.42185747020518,38.82989020096357,41.36854415898455,44.42650344103264,45.59865463648967,48.9879714218237,48.26237912333504,51.5280421072556,51.26379796927111,52.93090771171942,49.6659070802557,45.51459821260005,48.833143876866075,48.753297411571175,44.01694977336339,43.91068199157504,46.545752975729144,42.78366080175071,39.24031372424969,41.246944907326665,40.19231944590459,45.79292636784142,48.364572978162,48.64957307240258,52.58002171320309,55.520355436782424,54.91690957602319,50.09017463224833,51.45691257024901,54.161420192000925,50.3065029656585,47.31822621332169,50.3016916816923,49.7731854096188,45.45212524850701,47.96319753699053,49.6020443595809,46.19290279545223,44.47671864702028,47.182329868715144,44.87832112471621,47.690638364184466,47.66699262513849,48.939589995167175,46.06974856037355,41.99725831502335,44.56777295009292,43.10794984388314,39.93561546580755,39.27355526373382,42.26693319368563,38.38520886873555,34.88319748446025,37.341057739932474,38.801439124854035,34.70641721776974,31.958965685821568,29.29374101997738,27.59553454062938,24.173721626008582,27.308280517510987,26.010415611393498,30.28670381006704,30.77297488862426,25.984720521327844,26.939940507351068,25.713279845293396,28.58496615932495,32.873339335493654,33.96334545724719,37.980023264555435,37.31686332482687,38.056630996104296,43.688822612330405,45.179276671595474,47.372151274770566,42.48898287925071,41.494234391607755,45.203217996014644,43.84883157871715,39.12478871061804,41.636280886344075,45.51721035661534,46.37832351464018,48.37811741291103,49.643369215684416],[33.06388180125594,31.072215842531012,30.76506429092942,28.223890298648932,30.298182167629427,35.16874992193047,36.933445664554746,41.42337151017817,41.80186249506227,42.05041051929428,45.36445259449005,48.37737932268753,46.21039560621294,44.41105361003066,49.56070622492468,50.40281201509442,46.91409839382561,50.262361524234265,49.86436364950919,51.84306152182487,53.45704952522716,55.63969684441953,55.23700999972209,52.45765181351695,50.79629403093466,48.48503916920604,47.58594177516759,46.003454962444906,49.22189145329686,50.58011253063863,55.159387123531616,54.935567683393145,59.186628688901926,61.79974029119857,58.519558216289326,55.45489552769263,54.571608817488126,52.38507390713132,50.1398177979,54.07645964021499,49.48153465886872,52.350582479584496,56.020682274264246,54.31017197897044,53.36119813709648,51.04621133368089,54.389586111770356,56.35877525495105,52.80711538238181,55.104688588592715,59.45347376769205,60.59670548590956,63.03921318318376,58.71191014932034,63.2054161379782,64.41295004682891,61.31580663095373,62.489295200153386,66.92648130977862,66.45771157332014,62.928836864180575,65.36668899683778,64.72969424604987,64.9315482931727,61.64319243222714,59.25466359808247,56.89152743517723,55.75373760845415,52.8729260735361,52.67108738647739,50.972004137048536,53.230890565937266,56.01934531259357,57.967754481331056,58.33813099395828,64.39367075122202,62.1328506704723,65.89997080546547,63.79679559951171,63.338574979918754,61.70535619859883,59.262279714241096,58.13717814468492,56.2096171212132,52.774602885030916,54.079459573692716,56.07570948751369,58.74120283301219,58.38685501940683,63.27726867289576,61.18663170141636,64.62584396047626,62.07907668275169,60.85964757039481,56.330024111957236,57.58612991651926,53.33421704875679,55.75907072963088,53.413848775797796,55.33234049659901,55.30913772966927,53.535443638735295,53.92012759866109,50.96981672389009,50.68507209008702,46.152366688408726,47.28651928832376,44.07022560971599,40.63525406336583,43.35930002931293,39.780599188609045,40.48448899516554,39.75041239353933,38.37343899078139,40.570963771154744,38.31234841868482,41.51979148930278,39.45294034274259,44.51212881027397,45.73893033255301,42.78244340738695,41.35807515677101,36.81043523219716,36.1858759303183,35.930754834612934,34.38334002633776,35.05495837113517,36.2641251218766,37.18818980239561,41.3292393871945,36.99334285309521,40.79148298353667,40.78969061553169,44.59955882923212,39.45037998418526,38.30139242990083,33.062145417990365,33.383768334800386,32.656779107728596,36.71989277151073,35.87864391597811,40.22644726458773,42.133316813322494,40.85121145578507,44.22634053758244,45.59800741230936,42.61186755187944,44.04928536424971,43.87416621622869,43.35129594712883,44.66204565984234,46.427354626120525,50.357095610681206,51.41746491523934,52.70607686193827,52.235791238545254,49.741810319242845,48.91864971838034,49.10041680559846,46.378493834284676,43.751621742412645,47.12755461538095,42.56125175729337,47.027560795093116,44.25460497575995,39.38749171901905,40.47822830464982,39.45895493022882,36.23244132672465,34.916136562129104,36.60988888305972,37.89757624329725,42.628126530602316,45.92317868680802,48.77785836097112,50.99123342038407,51.43614113156216,55.89186886354412,53.651168303004496,53.65668003228892,50.48766112574818,47.04160744362238,48.12035352815031,48.586845254963926,46.26681415375282,49.90179369041741,50.039219023353034,52.33544639834378,48.27577312906102,48.65508947962961,47.29180736612018,46.50701780442762,43.710256108848654,41.51144199038186,40.957483486199436,39.171666366881844,35.66866212199763,37.55866300335967,34.90801487732565,37.442512891254,38.246218903159985,40.250285103737355,37.19309129989429,34.179452110591406,37.60484774919674,36.76979454868255,30.6853964415338,33.230405318944115,38.2262920106382,33.67249784105954,31.552296522977645,34.715003223716515,35.78415894115418,31.270747134283415,31.183642863293777,28.894588770400244,33.801015626535424,28.079617506127324,31.50813789549776,35.09124484893348,37.46476898962631,40.818638884075646,41.689166376077694,44.91449063899655,43.980959781003136,47.137133984709344,46.757703832408104,48.35214989260458,45.189917269106026,40.94952367088519,44.16377747719034,44.093696651959945,39.369125602370744,39.172838044065344,41.747897285095824,38.05000289798802,34.500556931756364,36.39949682813351,35.449989916430816,41.04999278269101,43.6404621014456,44.071051304606215,48.01808270009174,51.083885405091834,50.474392719622834,45.617850670560635,47.16906907222202,49.949041628222425,46.08937838314049,43.15893522178668,46.34864920902642,45.946247599481836,41.62265330871767,44.15753866930452,46.00241855882403,42.75798018312326,40.954394134144536,43.64477900806709,41.15626725057041,43.76359152702747,43.516298766889754,44.72194172509879,42.08499350057683,37.89400666315665,40.23221180780042,38.899293164560916,35.79180244360148,34.840373499937385,37.85619939120583,34.17611815587707,30.511129310010357,32.746193993337165,34.38159808460282,30.438048003636705,27.545502282162783,24.90497040680795,23.356129559364458,19.965648286198608,23.5181263478534,22.095710001136666,26.253786314945717,26.98920976313408,22.15164690551157,22.716794172737465,21.241835122326908,23.96648237642948,28.329568383702536,29.527432314275806,33.43752344750257,33.01466564499258,33.93885806704251,39.531238961946706,41.099272995232404,43.447574697955474,38.587826441646904,37.70685007361393,41.592501358015554,40.30694465090679,35.69314731225641,38.30113783081015,42.30764667861691,43.197704983804684,45.24566137100006,46.45084435574685],[29.51900005804133,27.690145526829223,27.76412139844199,25.014292711368633,27.615996008569287,32.028155097029824,33.92860501577303,38.41594876870603,38.59236486784088,39.022579644244125,42.25046757450835,45.25694678579924,43.401249434234806,41.47980877550021,46.67577109873643,47.673662955314896,44.393730244805575,47.88279707425185,47.754889878392646,49.89763547499391,51.6913668699476,54.11242678852556,53.818286298205685,51.21793022273971,49.42552807501811,46.82954238229303,45.86579430736625,43.98169395349802,46.98974572059442,48.16847205903983,52.55417179619373,52.33072195628103,56.48555627219029,59.263726131767214,56.137449203994684,53.200662698134906,52.33273105957859,50.47250588171585,48.444391286534334,52.714510754941244,48.186011481047814,50.83070613187424,54.680015342230924,53.15876525630389,52.47526640991883,50.3284431729891,53.839744518691035,55.51564437895383,51.89016418951955,54.54602728194789,58.708026119304236,59.819881556806806,62.09056086554909,57.54046208069115,61.96798268292922,63.27976861610706,60.06790902416396,61.006917599742714,65.50277847093933,65.25525748706289,61.532907794253866,63.72134212905506,62.853115173028016,63.207949707131064,60.06111834670171,57.48717437511461,54.95755196512601,53.56969890862926,50.60121926295916,50.12047502745975,48.451196883457406,50.66753191277242,53.452712795005624,55.66453692346415,55.938117483511256,62.08208273972423,60.020108044900574,63.685525643830005,61.74388086162053,61.52776381550797,59.828996414599935,57.628231046605656,56.34399732183495,54.73350095975473,51.283481764929846,52.27805583190747,54.27874720078548,56.70156821724474,56.32583481800363,60.98585906096099,58.795557172238816,62.13267769802077,59.43166472303819,58.09463308771388,53.502057727225235,54.58439311247562,50.287383948029344,52.82954502328943,50.44069330766941,52.287232949489365,52.58530139519261,50.88545297968449,51.53590219759438,48.65466270750986,48.80409287922034,44.141484274029,45.436314047900616,42.45956514567611,38.798932883793654,41.249757009794834,37.43425505988775,38.21636637690305,37.134300028635835,35.992915867363806,38.022339679775875,35.972028523866115,39.28260959457246,37.507820290204684,42.52982568145341,43.432210312845946,40.36511580081198,38.750836740328936,34.32875586483313,33.56658384800211,33.12846255251681,31.996079775200975,32.47501446708532,34.10423651779146,35.262753006180155,39.65086913844516,35.635105674033504,39.6088433404317,39.83655918493665,43.33204192684329,38.247862264081704,36.73667160182312,31.57896583822146,31.79406780034494,30.989727660160685,35.070620705737994,34.52959580460726,39.057412090116706,40.5807748903959,39.15793722527273,42.59998049603384,43.61050283745929,40.54954603966738,41.73766372186244,41.524059548152614,40.669331695772726,41.97752368613575,43.429242592996346,47.4352342409821,48.18669661448196,49.52483571411975,49.287820439717116,46.89190145692623,46.26798029343747,46.56352489331429,44.124063965029755,41.80668360200954,45.18995906378235,40.936725334346896,45.51297922132016,43.09529604722969,38.503783788011255,39.77128402380447,39.17417393053655,35.8744010169458,34.20877564982503,35.69755818401354,36.63697719083876,41.296476430382384,44.42359306165374,47.06384737983155,49.09217598007982,49.29323255776978,53.874536497036786,51.92259407984151,51.998339624614786,49.14531453144319,45.43315713826455,46.96941503610516,47.73042000642752,45.333754546865265,48.990789241708526,48.953182738277086,51.61614299330956,47.757939543518305,48.249419164376505,47.14364229632012,46.04495604652426,43.37774722061237,41.021641870410996,40.48223025099267,38.782138087360124,34.934470389403245,36.70630946142457,33.81886608797425,35.91965532922436,36.836177056696116,38.43117608424062,35.2336518987643,32.45912147105089,35.79029234989173,34.518285267229444,28.491897439345994,31.230765130862217,35.9418288004693,31.02357988729244,29.03773600637392,32.22150937796347,32.91085570206355,28.285447990458284,28.49335827880261,26.46893044090248,31.56610341232924,26.51027910786324,29.82905346408411,33.408081341249925,36.28656495331427,39.59057368198103,40.81211081649613,43.851000655783395,42.941939593974574,46.152020406280336,45.60004438262837,47.597810498657196,44.54531134542083,40.02728989067811,43.36253973527777,43.76578820648553,38.974332083298385,38.58038963895962,41.42891245160975,38.109526840845895,34.28403891038116,36.01926879747733,34.570732905070926,39.98078841034691,42.62860401698685,42.754831562516955,46.55448132939979,49.477754391042474,48.678038363651076,43.89494845341341,45.3128243753796,47.84743418877905,43.89253099077578,41.01614246090001,43.99759787445695,43.3732555496985,39.08893596424813,41.82218557993412,43.4223317831574,39.93357926109494,38.42693015458743,41.306634601164205,39.02766384104619,41.85349756288426,41.68363270945491,43.234080324646946,40.50650960805775,36.12662321328739,38.85463210858036,37.74512343007012,34.45907278526712,33.6401937645343,37.152154562927855,33.52534973409612,29.56123757847081,32.15569132356494,34.20218867833222,30.266996698662286,27.120677864894933,23.90575457147491,23.099989431666668,19.133846873362007,22.23831597031264,20.150354957210286,24.224452046575585,24.36147721380582,19.597968438639533,20.642256504549305,19.80944349216914,22.67335742595488,26.892695285924262,27.6270216290032,31.743371967769058,30.890116290158158,31.4961478992719,37.141245522803835,38.65406580329721,40.75661081069504,35.86760940062611,34.92539609342374,38.63168742688595,37.23035110493537,32.53455632474574,35.16254454241868,39.0499663875872,39.86937133967021,41.87896508933511,43.137401931042845],[30.091173017639015,28.700688957489604,29.424267316681956,27.04297430709533,30.253489214913447,34.16024056753717,36.404710823739165,40.80327175772529,40.87685918681646,41.6448767622094,44.7561164920551,47.685021142538574,46.256228740366865,44.243264772504126,49.463302307235416,50.62093533210873,47.57584335331503,51.175324545956315,51.23895245960577,53.51631381717067,55.40034018431838,57.96643462300414,57.6953776500867,55.17186723034998,53.36451610264972,50.620982458075446,49.64601826423033,47.57455129793191,50.407047782446504,51.40530170043546,55.6184088086986,55.35073527463875,59.39932414657297,62.35824008227778,59.37217752321721,56.57200727874951,55.673783242343,54.099331518355605,52.210519065285666,56.62323522801489,52.17411447585183,54.708843740652036,58.63821294604031,57.19656058086477,56.62091469747294,54.525947773546825,58.077443113512835,59.65884348004936,55.99514222301933,58.73863969720872,62.84359999009054,63.90047996911172,66.13532790576782,61.50116538778807,65.89506185670479,67.28663205037721,64.0439886346241,64.86043189988554,69.38222529940873,69.25074699727567,65.45273579111068,67.49929188394047,66.4868227581029,66.91885597278817,63.87200245101201,61.20148287691742,58.53770231295511,56.98976261565899,53.92002026336711,53.21046560022812,51.53127239206568,53.629595306256086,56.47622711342027,58.91912199354782,59.164840294842676,65.36767080697366,63.48905355318025,67.068695748048,65.25170082365157,65.19765469000784,63.4251392910298,61.36058043411638,59.91317159942329,58.472389139939345,55.076432966215116,55.90577661018328,57.961247401010155,60.183073217354746,59.84196814712087,64.3001503574618,62.04139831184854,65.27029831894842,62.42757468348835,60.97003945045295,56.32202928466911,57.19119775653534,52.854435447080064,55.49991850056509,53.023951391526744,54.65026692973786,55.37812398200101,53.585693062500866,54.58724702391945,51.60218579409744,52.02763478300059,47.236016733071374,48.41829592867904,45.55639011141029,41.72142601523134,44.07016757773207,40.19265137923343,41.29349264632882,40.026701810004454,39.21911234939458,41.18193806314629,39.35495279233973,42.737336715051505,41.17810370055355,46.11633201262614,46.79754034438674,43.63806616139719,41.87910417873538,37.60870538050895,36.723621003050454,36.050021243686054,35.24446104702796,35.28148702856189,37.282928819131655,38.438958551700246,42.96840878392551,39.006357212313645,42.91244980882267,43.438469047025755,46.83135273582415,41.92831001929397,40.36314851261681,35.19528716200751,35.58144003673091,34.831330282293735,38.891415246093565,38.55227591233209,43.13623995130739,44.47510117532982,42.97656929811534,46.433379884992775,47.20474852460442,44.09548059181006,45.03957967367759,44.69900523412883,43.52627067370968,44.64347441661646,45.77601284174375,49.69748247390619,50.02428860758183,51.61897431726831,51.69561900575516,49.521270140796695,48.99894297594661,49.54864006801309,47.24267535600235,45.27467753083993,48.74419052085213,44.72766596962225,49.335115054204344,47.058669947982935,42.62757003958797,43.84327773710795,43.378543381862194,39.99068931287294,38.32820932377958,39.67306988469492,40.55532615841662,45.11675216754947,48.13542097689564,50.658901333954304,52.49474386997789,52.617730045171456,57.19951142494128,55.491564971375404,55.517110841254855,52.885439311480326,48.92768110045764,50.63665051756215,51.527987388072624,49.20205202353177,52.97970478859021,52.95670387775116,55.730280837285534,51.981303807494506,52.414523766589454,51.31396858187826,50.1046992703992,47.37405824158581,44.906486959258,44.227157168267695,42.363768817036245,38.448708735954085,39.93278586494613,36.77162647699264,38.75244873942864,39.287720054025215,40.75267613314674,37.709820076090246,34.7290833507668,37.69926159543625,36.39023373992469,30.480029187890135,32.810140509764196,37.25076019341407,32.35697433960748,30.122008002110892,32.94943274461127,33.684164806403146,29.006376659279223,28.755677571025466,27.09503090702512,31.778900759571293,27.18765990439466,30.824327409687744,34.07369600694905,37.10802919862731,39.968298850054715,41.60573780422504,44.906312486379484,44.38376337708576,47.7985802519889,47.55887393604258,49.64989512548375,46.36086560136838,42.10560568836135,45.69826933789584,46.04783781855301,41.23792444543673,41.13309479899988,44.20272335336043,40.71917802544164,36.86942107105017,39.119105475676974,37.27604986639374,42.83628404231448,45.273566888048826,45.020721977079255,48.85840879764912,51.46037575519481,50.8862380973402,46.157644093348885,47.093527251666494,49.647585368099385,45.88312126066916,42.748494477693825,45.39480394031689,44.731282585723314,40.42315409000682,42.88324854253201,44.276692636563816,40.73363446314047,39.1133711320853,41.87338875231819,39.80685569601745,42.88161482493372,43.12942132823157,44.651893026880785,41.51988281071252,37.471902280124205,40.51510133835593,39.090993212967774,35.740752254485756,35.509351683740476,38.862039552804255,34.863461791035895,31.27156607354463,34.32118266180162,35.98478809336403,31.784764119612834,28.912188869155095,25.737010795239858,24.615159548219918,20.678793262821824,23.01954833785646,21.427897912754716,25.71821063802195,25.86742808748623,21.25837826153107,22.7967918436845,22.143805076782915,25.370191263407733,29.309799696485044,30.34325986090989,34.60929674701989,33.80729885596734,33.86391816436514,39.47476556756844,40.65407255568048,42.80709969083439,38.03545072076083,36.623336740615166,40.1478251151747,39.098276161579456,34.11293611021663,36.27713891114203,40.10947199072988,41.09215139833899,43.15639278093457,44.563048811264785],[31.54764676109127,29.750348189039247,29.706095456539483,28.095953682895072,30.459967657078632,35.201026260809826,37.482806180751204,41.812421051057925,42.5456983928902,43.3633549550568,46.727927802874866,49.41679614804981,47.68240825660879,46.19233657707564,51.37146976790492,52.157944376937834,48.992449910260646,52.63618767904817,52.72068628859184,54.540820480928076,56.485021931611435,58.675780624071635,58.56458998683413,55.9242884875198,53.977464657760635,51.58838907143919,50.33716567609771,48.49598046791189,51.437355817027374,52.39043695751064,57.17659206006196,56.48208983717088,60.70700524477283,63.62260224807654,60.34872285237419,57.55965498850547,56.30199198943379,54.592589909376194,52.43147391032345,56.31112128523807,52.09867742557439,55.11270327386149,58.8243979554751,57.069413819281024,56.35089793823211,53.89335867142816,57.33873857672949,59.17589270913043,55.31840843218221,57.6047209215133,61.936425816219995,62.81946577826573,65.36106625807707,60.925807817223095,65.37987773952096,66.86989585750706,63.910027692364025,64.86710837374669,69.34807233207657,69.17237532532596,65.73694304877505,68.15055565594429,67.36628181480796,67.93851605043645,64.63461587151419,62.00672158182297,59.87042335663297,58.431828539433695,55.755561190687445,55.25097962872097,53.76151059664426,56.162073153807796,58.7378069263974,60.89865496869633,60.906670558691516,67.02016438695786,64.6883774412237,68.23969605560956,66.08191197399671,65.6725982416636,63.687634351242394,61.237754101760714,59.69367617607573,57.835899181582555,54.64446360769695,55.89547653977608,58.258959632719694,60.58379203522471,60.6566421371845,65.31444338686995,63.40823757163878,66.94483067341231,64.22156551780374,62.722370066759304,58.114289666503915,59.31558915346294,55.00660025540506,57.126531985097955,54.51194409245026,55.91920254035559,56.29888040223973,54.032234269364515,54.86705050740917,51.4688636204381,51.25811143768887,46.54420512907203,47.256481645509346,44.05216071273546,40.44740990410558,43.24785253654537,39.80645456944972,41.153016458805745,40.56521328658682,39.71851990132669,42.290989252224676,40.41399904796045,43.90105504188464,42.267814610449754,47.55180958417927,48.35856121567987,45.44326557737166,43.67629456547377,39.2445880823677,38.168964711670256,37.369427684012415,35.73480333063507,35.49481306016523,36.989972643385414,37.61414193280172,41.853259615636716,37.34137924018711,40.89039514191632,41.42731186075647,45.211980501159445,40.46191415436654,39.514185320064584,34.11180461080128,35.14022887130373,34.88699961669729,38.89398053739565,38.78231711734685,43.322275950733065,45.00549216296892,43.370347852134294,46.645950850286624,47.7275521531034,44.63145637754724,45.64182485196395,45.04573866653954,44.276496067209145,45.06399930013376,46.748626615401754,50.33829943876368,51.19539920310173,52.93810684664998,52.638949176487884,50.494941711067106,49.46152989275569,50.151424817670595,47.19819240112824,45.08920392672178,48.853135044052244,44.59760610765247,49.03299100747202,46.2397828796052,41.72870494015892,42.370067832246725,41.60572921564844,38.050008996637125,36.973162334089935,38.2857016572781,39.75943377429982,44.248774726732925,47.41178978730307,50.209724174707155,52.09651825731465,52.75600281540265,56.991635990464715,55.05313547142907,54.78128782254613,51.89444426581653,47.98700380352367,49.09670311427421,49.70801595175534,47.65100072074391,51.72145327063056,52.174762212332666,54.5082735587178,50.775159409229275,50.734037580682525,49.24798368222852,48.19888991649614,45.11525468940808,42.643662489229285,41.71992990037917,39.52682628633631,35.99084610544968,37.33192674457795,34.270602127732914,36.832760926900704,36.945221300858684,39.00372455473337,36.28911249264445,32.77499951880491,35.7593206222145,35.196681300678236,29.21020204351053,31.07718711853954,35.968044022357745,31.76902949134156,29.233002996615564,32.006621344939525,33.495604601975586,29.06344997934849,28.240028623381644,26.046100485063473,30.424308070427564,24.713904452980003,28.507315987345255,31.76920517899254,34.07222760620162,37.05516735433871,38.191131872692836,41.72866060080586,41.2033352760969,44.58445953498044,44.65670023247187,46.24403944563051,42.752322473417344,38.917769452141705,42.455423171677374,42.21322462599461,37.4666994923543,37.72456481088017,40.597744751657345,36.60968204348776,33.03701462429267,35.79798221980408,34.31530354833834,40.243390164861324,42.46763926418017,42.45714535229634,46.541044755348395,49.23696533391498,49.06536480837822,44.22997330891287,45.19646245381833,48.18310995027889,44.66078999277459,41.32113443577332,44.26076956632661,44.01413984663813,39.61714854442421,41.66560546553811,43.50176666953127,40.44672207500352,38.234153389331446,40.64924319598144,38.21291529050291,40.93361978937602,41.10645383212279,42.0947926722582,39.05688955735692,35.32334753294479,37.836690765772126,36.046096827689226,32.931964379117844,32.62320215573389,35.29083204988948,31.167073580015668,28.00414753207286,30.737355273711096,31.823700648089893,27.564074031271648,25.023520310244766,22.564860156579957,20.485591756552203,17.23676022961411,20.12599598779662,19.569611183315985,24.01706960847776,25.269888388823713,20.55731240998262,21.36927928308202,19.761958149175182,22.97497288658443,26.973665670498143,28.94976648440052,32.99171513539484,33.04880061607458,33.301452207741654,38.80384636200397,39.90327466749144,42.62160431283685,37.97873834218031,36.43768169110107,40.30940817609583,39.74873275727314,34.782687295726376,36.7353772122519,40.86781776808219,42.115015106231404,44.35441765202062,45.741472582741096],[28.945993159139096,26.808055746620898,26.273182442854676,24.56331035588943,26.503009506795834,31.56723995284036,33.69765428588738,38.0311100430653,38.9337255968929,39.657978933608995,43.11278660823007,45.745563006362765,43.82958667519358,42.525926624277155,47.66882260053491,48.312945979682794,45.10805712556851,48.77236994558796,48.92974439961705,50.59169815490041,52.61845574491095,54.733944665891016,54.74724877850879,52.15832997436501,50.07798234817831,47.729293805962655,46.33659007816886,44.502291037949384,47.4372803061019,48.36563660048466,53.321370227626616,52.506313701615554,56.78494483238259,59.663037689686384,56.310353609469985,53.53171212889057,52.18133615089138,50.46341887842009,48.26992876796896,52.08528910820607,47.96455242961186,51.05958667774718,54.75383945899415,52.97254999649506,52.32487437161612,49.827707698120385,53.32679189824915,55.10021546802542,51.1525045385475,53.47608152346728,57.78705810047359,58.62809150119641,61.17036137794764,56.70494632187813,61.14547844074283,62.68542816204207,59.76910667389879,60.688796996294926,65.16803492955384,65.05469016141421,61.66814156456204,64.1227845979248,63.354706616458316,64.03523950196694,60.68033815480344,58.00784610396667,56.04625726365414,54.584199426295946,52.077669442610784,51.60712479113513,50.2278430526849,52.775206298323766,55.18937369856669,57.26662277507494,57.13562503296919,63.21646455853397,60.74422973845353,64.26039728944919,62.016830490264155,61.54344596929684,59.49423016870455,56.99361517024537,55.42363823561286,53.53245617122702,50.369650502034524,51.659267492553646,54.09012251698708,56.411398242032455,56.59210787054237,61.28065261023662,59.483909538544594,63.11955927840128,60.43909187221824,58.93120676555144,54.35030588570669,55.691103617788926,51.410411923957724,53.341247977253104,50.72021158498236,52.15372138636224,52.326922751001625,50.02506887136631,50.73135517630958,47.32739613104682,47.007008113177136,42.32977898301419,43.08680356737996,39.856298044740605,36.29811401710751,39.12970985581975,35.726196411979934,36.979322011836594,36.53312882872616,35.6100589923811,38.32894669434799,36.44608081168093,39.97112586201468,38.39303381221917,43.80327446387598,44.564627119015256,41.75251774868835,39.95588567086796,35.496266710159425,34.333887507406935,33.51682402535745,31.63406285924842,31.456406398120457,32.78054613544503,33.37315522770548,37.57390129587491,33.06293832418802,36.67137039042908,37.151340336501605,40.91798841181597,36.13554202337593,35.19279351490539,29.777389834970396,30.866636605221668,30.73367485855632,34.71297357337419,34.783879774739354,39.3664877327764,41.0174226547036,39.286772544242154,42.51014937639099,43.60716273759012,40.513602227803545,41.531906779800494,40.90604858584317,40.28075753685002,41.08047647514379,42.96422396957403,46.543353666808244,47.670938819014545,49.30157946960513,48.810402030604855,46.59357478502437,45.45151890638944,46.084865314386136,43.01654324577967,40.83399543212394,44.636417690667834,40.37026822163328,44.78185239741515,41.966696169400656,37.528445660435395,38.11910294453066,37.465888533803664,33.85914476683411,32.74612252717047,33.99229389570702,35.473731695823226,39.938013685975584,43.10036264838397,45.91865079550304,47.82586644056193,48.55273492320544,52.74881691995498,50.763320241625514,50.47824021031841,47.57374893623936,43.67743786956555,44.78391227535208,45.417844883746106,43.34627356310898,47.43957008484623,47.922778475405806,50.28625573048694,46.63483398540772,46.55156434117766,45.12236291172567,43.975724622432054,40.91730353355979,38.41011964135086,37.5200895703333,35.40479087124046,31.780060980417563,33.21702567567148,30.227375403097987,32.76585291524805,33.133544204157204,35.18796043760056,32.35501445519466,29.004465183903516,32.22570127548073,31.610825728791536,25.55479972723019,27.74957684071635,32.79200487381656,28.536057668140735,26.212370586461507,29.275805903937254,30.675463868818724,26.301972856202212,25.897899716169743,23.434040272872966,28.21676159578609,22.29777057572359,25.75457684661955,29.31078197881773,31.66152218029854,35.05250442224641,35.93998002258816,39.150558471441386,38.298644580836104,41.535346315415644,41.29254505589752,42.96395635116066,39.70193814155187,35.537133142948015,38.9329328703945,38.92907284375238,34.15524139592628,34.11440056832743,36.953858039971614,33.24230979245149,29.54353477956371,31.9071823654845,30.48521264659173,36.27713270167708,38.6553940287142,38.80920356072949,42.82836416689943,45.71743708875155,45.33556366508945,40.476371851609514,41.75356776532976,44.671073825473755,40.999334819481824,37.849178232847244,40.99897966274461,40.749259503910665,36.379751613058666,38.67205152905237,40.62703605742984,37.587377056941754,35.516720439981015,38.07149639721968,35.50897443948017,38.07564348819794,37.92644657978618,39.04475259948834,36.31852716533918,32.2414121382323,34.62112319051705,33.17341484866238,30.045642390864508,29.291844102009296,32.29031577568632,28.510240755083633,24.88464372479496,27.397189807712348,28.998622874888706,24.97062184958473,22.050936841191003,19.302176090844874,17.83806340121745,14.273480712363524,17.730211167729987,16.509253184353845,20.753098885678106,21.936504009717567,17.14507111047547,17.62094755156715,15.968564322672266,18.99074821421096,23.15197277011422,24.883028732745426,28.875056670551302,28.894965474477242,29.406613669691655,34.92091385690534,36.21326367852902,38.89800438897495,34.20009436198511,32.93802322580169,36.92667640321731,36.180754911557926,31.406417966056235,33.64642143115279,37.816086052191565,38.969216137272525,41.18534108409495,42.48249470105572],[24.14254095070585,22.549200155953127,23.113172849741233,21.273510002451616,24.51691001913599,28.456156864872877,31.007930298017094,35.278474425804234,35.77052070185443,36.961851537757134,40.193874107743554,42.78256273062781,41.59323023197028,40.02515409492977,45.23093528632193,46.216328837093705,43.461033199763584,47.35888798895355,47.98324772328095,49.98556431834257,52.28016449983322,54.82583347245376,54.968792890419316,52.67794663810268,50.45402444271383,47.62135194084717,46.18565021244062,43.82772290277597,46.350102343611226,46.93185065726384,51.44215376242825,50.65160010304166,54.70683937091207,57.90929717341679,54.887666247299,52.36682077654504,51.07101765836701,49.9772500782856,48.19957400868502,52.59107071436441,48.58566976244872,51.23722866637241,55.219687121729514,53.78086275349605,53.55314648034684,51.37559603166621,55.09861276702059,56.40101275377296,52.399169547019724,55.286969475559154,59.265364705024204,60.06415089699316,62.30422325374175,57.49761621834462,61.812670397146974,63.50726247503577,60.3885808787885,60.91486294451023,65.4774780806961,65.71906450840247,61.99800627292991,63.99200297110183,62.81457333993022,63.71502139666959,60.64485051362625,57.684473488110484,55.369977901106054,53.481772551800134,50.76731252396987,49.77596509278102,48.41983009725781,50.80554546782798,53.2632728486315,55.841769863721254,55.592972962675226,61.814670935007854,59.77005444422427,63.09737738593732,61.18738142685257,61.17227960496864,59.03373647833548,56.99513683281873,55.14356670436237,53.84119031963968,50.671156459372625,51.387499940463385,53.79843712822034,55.66225832432239,55.77662536293739,60.004826638003735,57.99889543808349,61.39215056165491,58.41905752881935,56.69110403976285,51.999523343997815,52.945353993085554,48.58668060803496,50.78209387896838,48.068244414233995,49.29035787831305,50.20089547037119,48.008599115951256,49.307327661735805,46.004540640823095,46.53608637433992,41.61829607310556,42.59884939255522,39.84622984327621,35.85861555062119,38.15393403685588,34.32970560481791,35.8494201659803,34.71262485666508,34.3414956807369,36.69946133969002,35.25945698790672,38.92998464159062,37.88972298981267,43.119000852075345,43.30267600590025,40.28243547260824,38.15315230646812,34.005914815977576,32.602193869981356,31.3923477354989,30.404895043209113,29.70042258841267,31.91931941627682,32.914698757519425,37.55320155110497,33.656934833611444,37.48820814682529,38.4403426363833,41.61846566425759,37.04648788719206,35.487719489947764,30.294895524303286,31.21288549307558,30.929229905354592,34.87598234821142,35.41573638345681,40.21820954847492,41.20883573635753,39.28649043835049,42.606904856589885,43.03757877256395,39.834510883991896,40.35443024452284,39.63393317827149,38.30500042572582,39.018920159597265,40.196161968591774,43.865476682169394,44.24285802388877,46.0828101133022,46.14751003533792,44.201991270855736,43.461399784814105,44.386398558455134,41.885075851313644,40.366614193814144,44.161907348853376,40.515099639329094,45.083028951896,42.91783224437649,38.980375959536296,39.87141160241196,39.885170560012675,36.22649866506153,34.56952650250796,35.4625115637705,36.32789128676371,40.610287218044405,43.43980071916046,45.842656616900115,47.37266431135357,47.64338422254054,52.04105676151557,50.62459539428281,50.45391091590875,48.15070112188975,43.77937266035955,45.68861581843571,46.827017411966175,44.660920377692605,48.762548588236335,48.940236056044526,51.89249570543445,48.578083304047496,48.69837354255682,47.6826669070792,46.06582145093417,43.23379855495465,40.495360215986416,39.607129667950566,37.61052289327011,33.47581574378593,34.594123644626656,31.14406462941658,32.85695612159982,33.22849721398263,34.495815526451715,31.519029721922777,28.51110376018852,31.34038895244164,29.933517497262784,24.0794572994418,26.37208094182047,30.727514867216787,25.821749123148827,23.583073389416565,26.47536225600764,27.216257786032312,22.56335885038769,22.413718708438264,20.66770771362967,25.567689206593077,21.197498958686495,24.62130000145403,27.94721991092787,31.26503081410967,34.27057870093769,35.99349478965108,39.02846285215139,38.43911190968635,41.850110027623714,41.489174104709356,43.8531446377053,40.67653622397045,36.236461026828316,39.92566664368653,40.65277158948939,35.827310415363314,35.608371954319395,38.943532420922175,35.805767089516436,31.73387596394654,34.013447349390326,31.63579662010932,37.10207321986684,39.45234474091582,38.91701853602646,42.68176391128452,45.15542877425957,44.57184176644241,39.88690783137624,40.68122819955519,43.181304108309554,39.45479529860011,36.267209557493956,38.86412076175132,38.2049043816064,33.88644647625712,36.372724040993496,37.78191499244373,34.27021189928347,32.65106566938543,35.47852617789731,33.40806491145988,36.50127379008946,36.72315557650107,38.411390013491236,35.314799993580074,31.118728454521904,34.33945356892629,33.10839443048039,29.665091585655574,29.485203346114034,33.19549715437493,29.353383307167206,25.494688250235455,28.815569476358554,30.852887991680458,26.78510701894069,23.679817372435277,20.036967800955704,19.750657295520057,15.353419642119484,17.32128862660604,15.136282927865878,19.31335935851445,19.350713557821496,14.804120853344685,16.564989906531277,16.31839156152947,19.689396120618035,23.33042509483792,24.363340890266823,28.736216029331057,28.0262149126019,27.67758579952815,33.23907913802227,34.25206319503411,36.529568756254164,31.84908810714574,30.213234232967174,33.782939604300445,33.032805415299585,27.935254735384632,29.940990901901255,33.890476595103074,35.02097894279494,37.20944415878356,38.67779085864566],[25.340535329726624,23.218524677139307,22.933706585185675,20.12704599583518,22.543947967801802,27.11237798940302,29.012555809229607,33.48186386594501,33.86472982168735,34.398589924597914,37.725677132099406,40.587299816640915,38.741284144913905,37.069649602170244,42.26102033862971,43.13589989748352,39.96528797704963,43.615771225309736,43.8028535377025,45.78040618337704,47.82517574975501,50.24881553697001,50.213702728234814,47.7714302856548,45.70466637777016,43.03047216967249,41.784482741209224,39.72411329359171,42.57597907437898,43.55532174035299,48.12802514765714,47.64132878989506,51.82374237637378,54.70056426554839,51.535671064539535,48.72553046107975,47.66040364082211,46.03411302550694,44.071994945906965,48.383702288223745,44.08250434577552,46.76920484526658,50.67540133781097,49.1825088655382,48.73836994494998,46.57848656322791,50.23244995172947,51.69019613633297,47.86405561100653,50.6914132268473,54.74798520538145,55.73227077636276,57.962878691265374,53.27711099416005,57.654829770385845,59.13019196970706,55.96161307623225,56.720259463430324,61.24647905615982,61.222948779433395,57.511876506862755,59.65290890411082,58.68152442309563,59.31430337528582,56.15280634843701,53.39701856126484,51.068887077755214,49.48175082917159,46.73407094758679,46.11144055456245,44.639676982982095,47.06136901139413,49.595097912896776,51.86160104354037,51.83731795046923,57.995894805642706,55.819364384012296,59.35369599426853,57.354741486113575,57.16493689468732,55.27837426671761,53.10852316179189,51.63274279267033,50.123111835269334,46.75784371757945,47.66221462328353,49.83417176484516,52.07669524702479,51.92648343378321,56.48221887216616,54.429304054761595,57.875830184047516,55.11989065847786,53.654409084404215,49.04279386376329,50.21530984576839,45.91183122517479,48.1974832186937,45.71112821168472,47.43663790757992,47.71630153914792,45.88212576410892,46.59680936600005,43.62817051805578,43.84727029816231,39.13501473558201,40.457049526087246,37.564521710494375,33.83268211696296,36.20779491889861,32.360494601286355,33.20550276716502,32.16452053533112,31.15359061652567,33.38247419878288,31.500085992148687,34.9796517683724,33.49661216427979,38.72182848639367,39.335548751554306,36.35671925400873,34.536944589280395,30.145653028961927,29.09983433466334,28.424477204828623,27.153489529301666,27.425164994039612,29.111381869865543,30.283311764794444,34.75182868750592,30.86571241654007,34.91512097826582,35.28929097749166,38.60516626562442,33.614461617450075,31.98936292612847,26.836154511303945,27.21196631749711,26.612934709093118,30.658619769864757,30.638027241894328,35.33487350403846,36.609005436674934,34.92749510165011,38.31357553437951,39.12661426399148,36.00554023445178,36.9999710528417,36.63398106964704,35.74949820720116,36.95242002874378,38.49132132935392,42.442514177268976,43.34148648723455,44.68124996142767,44.35031257075118,41.98783877908118,41.265575642876684,41.66286194250253,39.14907233794358,36.99419313511546,40.51766858104305,36.45296707780079,41.039650719817914,38.74052861227328,34.43838720210304,35.62103379681266,35.38648010907568,31.94942347574293,30.14445070728492,31.379185620993766,32.20627952870817,36.74601721290875,39.767870335851775,42.32781241148262,44.227719540069515,44.459727231397274,48.992721889502725,47.17392909767271,47.19668580585197,44.51949556533863,40.610633591606614,42.33879771961245,43.27704037683088,40.89743172625851,44.678754632828735,44.679823393587505,47.52504840285875,43.92819923743386,44.315013429361436,43.34984237207889,41.964665945283585,39.32646765579455,36.821524696634185,36.25192456031003,34.607239388665405,30.534974265023386,32.2376960536771,29.27409939939493,31.125307831150472,32.238166427544776,33.63831566009573,30.329959583601603,27.78764010836942,31.218043578997815,29.74649780914791,23.742198269807016,26.7938910495786,31.468693579980997,26.426276869487495,24.69110712745874,28.096902112818093,28.591146589104955,24.037355347801036,24.71489090492656,22.571364131926725,28.00690104060984,23.146509680821975,26.041988963667535,29.803853488077937,32.886244132380426,36.46237914761216,37.60962146215057,40.26777647391357,39.120368711205195,42.21258701733593,41.35545946219696,43.59003391847427,40.783652464799275,35.93628295233189,39.19982657215825,40.01062012542569,35.22271206861101,34.52164727626717,37.474877085875484,34.59450130980683,30.580360647127367,31.94985147815122,30.260995193890437,35.434740618577244,38.17949099195803,38.261917295057614,41.93045006945245,44.9074652550292,43.900712295089285,39.151276017731725,40.72325215729114,43.11192734679455,39.03863887007471,36.32546956061588,39.38331482206642,38.699084983971545,34.46648533469213,37.437608733106195,39.05688964677956,35.544428974977336,34.24188219822088,37.27337547187218,34.973517424988515,37.722917978958286,37.32482312936095,39.10084536851606,36.61312811931833,31.925964654790622,34.68449978489256,33.95824402236152,30.628171451778975,29.532923012691974,33.489967445942135,30.22153348287304,25.82831317840487,28.387566639784627,31.002657290738338,27.340372001110815,23.859798500141373,20.205440085102577,20.35428692880925,16.036016009127653,19.187026913896617,16.255380220144154,19.960413317164807,19.760178562247766,15.049836800384,16.010551056956512,15.56556801380164,18.250147458679006,22.407416680072195,22.719158555164224,26.872468083165685,25.84741360045738,26.46946845722253,32.12137490170184,33.73014849952936,35.76445814588496,30.844133631835163,30.06515346894303,33.81366996825441,32.30165406055511,27.722358824483535,30.556258179118554,34.456751949215004,35.22052804173573,37.22523123685339,38.438387495960676],[25.02583164099899,23.6071946009894,24.483233174489207,20.823294990637336,24.41617339034641,27.594726964408203,29.44918244967736,33.90918332794925,33.371471288318865,33.87069801295552,36.79736293344916,39.95698393045717,38.59348980236385,36.20382258836961,41.416142422123016,42.8044724705358,39.845956241942574,43.40649412649957,43.56570083392978,46.14522718892425,48.0854132419069,50.97540470960129,50.72094114215772,48.43759004361593,46.59273958251793,43.48843739002929,42.63484252209454,40.29756544594303,42.96351926414441,43.979866313956194,47.73932572013574,47.81639363000546,51.72727988328665,54.6586526169419,51.89789946067242,49.10587811371128,48.513581671144706,47.09374227752275,45.50808716503021,50.429107819529655,45.8865961955897,47.93168063727936,52.06765710774069,50.97673289634644,50.69728749995246,49.00630190996063,52.72305082709118,53.87564965503408,50.34374154238572,53.656362710578755,57.407473695214634,58.588048529130866,60.44254341363708,55.57644347666976,59.8473267334978,61.182880372727084,57.69483914995354,58.283237695396544,62.82303904744379,62.84749931183599,58.71883121344976,60.385584668281616,59.1327111165269,59.574331926363556,56.76461777604108,53.981080616221846,50.977029372700045,49.25609698416978,45.98638586833492,45.080959806930586,43.34972533845488,45.33572249124138,48.24314739481253,50.889867974525195,51.18965260828603,57.43597170962106,55.87300435338881,59.4215926027136,57.87742173509992,58.14354756388188,56.53575259701727,54.866926702970055,53.51579120898166,52.53477726021008,48.968261648140235,49.33843816235195,51.102272939103244,53.18444756369336,52.51000143320178,56.76687669716668,54.265618060210926,57.28485808868137,54.374550635022786,52.96175439777513,48.317056595905555,49.0192118151519,44.69209654739026,47.68187593644882,45.385731664263126,47.35236377340425,48.13688888455712,46.90771314896023,47.87159445248491,45.4350631311451,46.44956378902289,41.71100558771984,43.53318444300656,41.1042785543138,37.17363455085826,38.951992087535515,34.66709500216563,35.23816501902984,33.32010878187428,32.42736328964114,33.77504377307791,32.01331406482627,35.28868948205699,33.93240187333072,38.59585985611442,39.03094942469057,35.734681734856125,33.94105111676586,29.84932661407627,29.09443331733168,28.593552030529427,28.55296659951985,29.127183139411798,31.467942709640116,33.25361707832769,37.95403717243887,34.80555385299627,39.11112681176978,39.50533379593179,42.30949327429003,37.28955560807352,34.98989195147393,30.295869511253763,29.880248254574028,28.650408203707496,32.64116975549211,32.30063314931016,36.9338948191694,37.74822640910723,36.288426918359534,39.848988539230646,40.24147881070715,37.15375801713114,38.02764892044063,37.98660860592105,36.549025418303835,38.13181910906989,38.882012449650595,43.190862535520296,43.33631159392901,44.514461429441326,44.71956702239503,42.37680917564084,42.334424546437965,42.583092422567624,40.94351280947497,39.046391069620036,42.142241109514416,38.464876250732054,43.18060163452114,41.55145400099809,37.43391241580452,39.25751995907365,39.33767564455065,36.18833643238432,33.79693278985939,35.03974255833775,35.148632912682466,39.65930601653184,42.44119383217304,44.61665017250795,46.405750961062886,45.96819675133054,50.86748533389316,49.374361818478675,49.74457489467521,47.42529430759175,43.50500221001265,45.901172665389424,47.1391039656571,44.51065157076257,47.897631355356225,47.3435783426461,50.64977609623797,47.07359056707495,47.99465273470781,47.45521189904663,45.938178076376026,43.72297892191001,41.27712864324466,40.96048096013451,39.66050794794022,35.33423476028988,37.08002549005486,34.051513594179845,35.22512174802774,36.644217927007816,37.36264000133163,33.83203148504975,31.88622565826104,35.09038453434003,32.85725644290337,27.191269673489785,30.48640208758679,34.4660464102131,28.81308252747489,27.407921128578934,30.64632218794046,30.293792651659672,25.58657045062715,26.767438704268987,25.403123311033664,30.815953375972228,27.328143791419556,30.12127490505502,33.64557470163622,37.37644795756005,40.59930959476027,42.33803929433015,44.86350357591016,43.868845154327374,47.01421889396107,45.97711861856946,48.67153386197331,46.00870356731672,40.95003821689118,44.282373785671815,45.58467485895558,40.809933751915636,39.898184640046686,43.02038408110321,40.55897391347164,36.3979551856663,37.4378041680344,35.38101694884489,40.1100447012209,42.95351225750633,42.700010023390554,46.068122860801616,48.8173104571711,47.470370941417855,42.92913266319849,44.31090322557246,46.21054632041896,41.99060550850713,39.48620762759818,42.07655204907882,40.9320573928022,36.87667111327997,40.16205674066172,41.21502229782464,37.205643768411,36.55518484611455,39.85961180011466,38.0511932668362,41.187171095523546,41.002507736486955,43.26361263345853,40.5929383896023,35.81112854508849,39.121002005817786,38.63537248487226,35.13843433653098,34.34841004257026,38.75518072329825,35.505878122487175,31.01606791115972,33.929015466635036,36.79640496163256,33.12928133568759,29.607126794212668,25.559935398134147,26.213421564540656,21.618649825525644,23.886035572207053,20.4737483687385,23.88747660045118,22.512747127786724,18.311205521637426,20.154409955520705,20.733114445025336,23.361663382867093,27.147083339163213,26.554374993289084,30.805526857944205,28.848833153296532,29.09195731277096,34.68392177546409,36.266514591112895,37.59971775619086,32.6651006477064,31.95856442309137,35.14940253288253,33.13188117267384,28.583310614155486,31.512328186833713,34.943352989005895,35.40647320091122,37.16700083449949,38.41726807797462],[28.739489578131657,27.331411523185757,28.10877800044104,24.37155290322576,27.705602165442,31.06689872333614,32.721969055343315,37.22472574069045,36.56966943567584,36.783773343308496,39.66573023378166,42.985121040408,41.39046057519163,38.82797567600998,44.00486787067478,45.42281041235099,42.252693249541586,45.595637295702836,45.3683823773395,48.039877982813415,49.703219224104735,52.534849913788335,52.02944885814055,49.575807307149276,47.993566547438206,45.01962657952208,44.43508918426325,42.345776476873816,45.233760882807616,46.522900330980576,50.17892485761446,50.52968319017844,54.459182043060494,57.20146170680277,54.41798363614737,51.44520207557146,51.05812196539856,49.290705272040455,47.58731221244918,52.42287872323755,47.6338034435677,49.672166503653884,53.72713557664698,52.59445279048777,52.064514874206395,50.38051270210352,53.96657259007236,55.33498245497643,52.001705649802894,55.156788879911154,59.01442921533959,60.34195051768066,62.22945635574724,57.51106928343759,61.8302943770305,62.97660465239839,59.45325465631045,60.25273947298071,64.75059234598265,64.52269317685334,60.402948368148635,62.15972241707062,61.05936338263012,61.20760878068487,58.376543810928545,55.80314257487641,52.66347181714855,51.20297101830199,47.77700939434835,47.116712182822326,45.207585671483066,47.04540334536552,50.15412735194741,52.63636233606341,53.23190025402579,59.42778739238744,57.89751137301704,61.603433258633494,60.06510963258022,60.24294019030744,58.84943553840444,57.103288633909045,56.00815959914496,54.87051454120268,51.19403284921997,51.708547664545264,53.2809317227312,55.61814005084961,54.70998103481414,59.148804853955326,56.54892285291884,59.505691455553375,56.720862743987176,55.49350245742224,50.9068074322098,51.627259255632765,47.34365174581005,50.51541951934431,48.365616844943084,50.55756246044463,51.13611060101877,50.088053389177155,50.813537177591925,48.51840685902745,49.346211197018526,44.70822088712847,46.579174935810656,44.02267818965622,40.22368291691741,42.120356832638294,37.88750302665978,38.238496922405666,36.388290611275806,35.20153302551019,36.407490164608724,34.380294071505574,37.454717695867444,35.73148915043938,40.23259253872378,41.0389270013415,37.71785737265696,36.1989098907085,32.01857981376138,31.59259201110545,31.437683600945093,31.322738118091088,32.30855220493768,34.395298518376684,36.1728304019237,40.74909112286012,37.46212852201166,41.76484974196727,41.89341825980793,44.89214988817949,39.68514599334703,37.48723722799694,32.77348792105084,32.137124420821294,30.703737526269133,34.73972989792976,33.84790163553981,38.30109657555224,39.40672827676295,38.218234399854786,41.82301218832431,42.50135654672618,39.49439667173435,40.665050007696806,40.8277407505858,39.58715281048892,41.36143000968601,42.20455982318957,46.597690083320394,46.832818133197854,47.86606029385172,47.991785420009585,45.506422730176325,45.502791871465334,45.525082884974736,43.89215496903993,41.67453861471059,44.597799768319305,40.64370757728071,45.34104863192737,43.5607041522217,39.12043476815998,41.06840417536044,40.805458017757026,37.811720543425395,35.49949849000685,37.02335372071225,37.23561128087844,41.90495874579585,44.82756523148962,47.12319667112695,49.12070655362085,48.68069046607342,53.63141500579808,51.906665394232775,52.359512913946986,49.78712122175695,46.149953316630175,48.32216442691555,49.361714445834046,46.66876268037921,49.88206379579705,49.264585573302874,52.38770714853512,48.532732653990024,49.59763640160553,48.96394323002946,47.723396614318546,45.534211395563254,43.259660718469846,43.04470924239037,41.78960869719446,37.63853973300425,39.593276601304424,36.742795014574604,38.176123565435375,39.635521298333146,40.57615319830021,37.04742617463284,35.00510541460525,38.32339027548084,36.27263412243333,30.50623043471914,33.7602953281965,37.92082730235024,32.36986993345349,30.87274735378879,34.107250123223835,33.91671073481794,29.201164860579077,30.18829825410282,28.72154924558033,34.05477191789872,30.17356332526709,33.15649815121307,36.70224682431873,40.20987093449827,43.432668769231014,45.04905537274738,47.75066202483801,46.76346985239478,49.91436880703082,48.96421014001851,51.4439976219105,48.69562342078065,43.748952620767,47.025894667804806,48.05339071364472,43.27050341953641,42.447461414841555,45.39830187915973,42.68563217905069,38.65637830412745,39.724132230869564,38.024131286713015,42.87851085038413,45.7613029912936,45.721790805580106,49.182027053176654,52.04810502938806,50.749679442081955,46.14708103603987,47.64344255813044,49.6508852974646,45.427480862759204,42.91505417885651,45.610801143319684,44.53627662315333,40.450300966220944,43.67093262588149,44.808710297221864,40.854893836521846,40.085057819405336,43.318091025617576,41.424081244645976,44.50627701910553,44.305295605485945,46.407556284876804,43.730026470849324,39.0236015399091,42.16891820993109,41.531716474996855,38.086541412997384,37.2309223304053,41.39298570813057,38.031299321242145,33.67305297019117,36.41782421485969,39.057909391308975,35.29419798296197,31.877080994514028,28.099403554610447,28.225293975429818,23.82822018980082,26.42981299732115,23.40824995110125,27.032946216785902,25.97055047751417,21.604432426081658,23.217731635669526,23.380528268260626,25.998740261659204,30.009699743004216,29.606947484671544,33.77861430294848,31.935925518061183,32.466370738589326,38.07862759246512,39.75432857125025,41.1276008064385,36.160539610271194,35.560767865584594,38.81236275757376,36.71835843873284,32.24535316554479,35.22091466281997,38.660535217610246,39.093252970978945,40.818657999074496,42.0212740418471],[31.2911514928124,29.557371906756472,29.74110881095632,25.456831388366226,28.055007273304266,31.753235870030625,32.81030429944284,37.37487486876786,36.577465591923044,36.1578835580856,39.033055507754874,42.59081805503873,40.421918033831204,37.7161487983655,42.79326438858477,44.13394023640912,40.588751519806166,43.58880487285002,42.83178663566819,45.53047761722725,46.84581542453941,49.55641143806862,48.78629932682452,46.15971778254295,44.85297812068963,42.06722384729552,41.79472171953583,40.06799813296416,43.272634086414136,44.984221611975514,48.57280898263913,49.29623093784094,53.286523381851374,55.672010321767985,52.802082546086694,49.551488647561385,49.460994352249294,47.153097088541706,45.29544979534759,50.01722634683503,44.92108423701785,46.91405684882157,50.85052900419552,49.68820196442533,48.891775413807245,47.28374234768888,50.72592652128659,52.2729027062435,49.22532173629394,52.2717270490555,56.17452273254424,57.71075747602552,59.56200385021315,55.02926460473038,59.38462693207641,60.26046694996481,56.68692522311362,57.7470816701273,62.16848944629059,61.62517227262649,57.52235538206235,59.40130637565092,58.52477032094492,58.32421939733973,55.44248335404565,53.14027780590692,49.921584420098235,48.826077718989836,45.312090994180416,45.05968085554053,42.98425027666834,44.759913610305894,48.005441993549006,50.15036494768471,51.063969546735926,57.14753568059598,55.55483717085552,59.47009271931068,57.889105793566834,57.90901186954233,56.828501211952,54.988605658545666,54.31206046302941,52.99222973366092,49.14545989244917,49.827040041183984,51.088965663756966,53.803076522970045,52.56944453842864,57.29863290327668,54.62453076094343,57.56527818610772,55.02301285949872,54.09394339163717,49.634365958547114,50.52868691959387,46.34882404842672,49.64850049540538,47.763980415582665,50.41710759826937,50.4319738210395,49.75970398974007,49.94549307323875,48.01169089305643,48.55842513818662,44.18202251252228,46.31918336912432,43.67988384355435,40.175395322395794,42.10656767535761,37.93856879385921,37.68616868179379,35.926100780948765,34.162879264706824,35.11680070948603,32.66702816558422,35.41486348894188,33.19280809991244,37.50322849669837,38.8176026602247,35.54768958946613,34.43979604164866,30.12067342157313,30.177910440058263,30.624642824034986,30.35200939234695,32.234992720295885,33.80756369154605,35.707860977636024,40.020162921418695,36.82240730406634,41.199239331080626,40.80154081750518,43.87907749412113,38.388769429397186,36.17619106738263,31.669876908570753,30.458631340293135,28.65134333495026,32.65566527765087,31.027870682875328,35.2153211119996,36.63042238693045,35.80726992663953,39.43890335650818,40.50918573404472,37.65735352848813,39.30506950559621,39.847163738810245,39.02261663348038,41.22749481261854,42.337401808254334,46.92098630968462,47.56706247212708,48.15637896504244,47.957340220458,45.1303892256123,45.178438584976725,44.70068499998129,43.128488268683206,40.347333774337855,42.90602897091254,38.59757996744634,43.23447927349043,41.37010760425582,36.601431734409246,38.864106165401594,38.300238451306875,35.65328462163491,33.24777218432617,35.121921868513795,35.26465121487232,40.09831235787782,43.156795511577876,45.56020427215525,47.89350703006283,47.3916436225345,52.42700668511163,50.334594319223434,50.985792094350074,48.07890327813726,44.96588299879231,46.9238536606383,47.73980956347561,44.87925867678298,47.6901079315936,46.86977272732317,49.8309743989639,45.691377998245606,47.063431173008745,46.48078072175908,45.54453031685086,43.59022195225041,41.61269503860175,41.704759148225335,40.78637813913913,36.825699327013844,39.22968941641066,36.84524516568482,38.38838916547079,40.35235496122368,41.4121744549615,37.717255214153425,36.02015886393143,39.69627641798235,37.67748976354552,31.914704016922702,35.56194673096992,39.913178420797706,34.38495655961353,33.19166941396818,36.6985889636477,36.41936999444379,31.82734141993504,33.22519899663447,31.49147421809551,37.07744497027747,32.80794385315407,35.5050712070265,39.29003230869672,42.567929631422444,46.132230210560955,47.34377994820555,49.83094348027264,48.483814644128,51.39676505732027,50.13847759206827,52.45302057891484,49.963649309818074,44.82622377169617,47.75701137417957,48.763672750739296,44.069609946752536,42.95167042321155,45.54606710218606,42.99976433347288,39.11998107847925,39.53192248084776,38.436448978442456,43.010415706510095,46.13842005571047,46.582223535713425,49.95244123602251,53.17224196977345,51.59683158405424,46.98788528385793,49.034983237816625,50.972375441413845,46.54902145044298,44.39159215431612,47.39965221992824,46.33815743501432,42.34344109793529,45.83556943260893,47.13537551803713,43.234165701301094,42.63120014303954,45.952726919985984,43.89067919508762,46.71102768943617,46.09830368061815,48.19876428382219,45.9389406392202,40.9792147648024,43.75118651448602,43.40778360171364,40.08194771890734,38.64894836053346,42.85164034860978,39.86377561373954,35.272853074179174,37.45611779666498,40.36387765446811,36.88452949431241,33.32786617864238,29.69536984035594,29.940733261628377,25.744098008737183,28.979774708511552,25.726399961974504,29.06701516762221,27.978549423804463,23.625711751357528,24.693820827024414,24.66172957714149,26.752275651830807,30.977113465314915,30.145072907198717,34.01040341858868,31.989360060528554,33.25025341439812,38.80259114116186,40.888946509126235,42.0739844691855,37.012460046295594,37.04556244446386,40.38299268448194,37.759759109256706,33.76160470272184,37.25387603151726,40.62253836160985,40.79065893662099,42.35256047598802,43.33798147653977],[32.467699049830365,31.085406410852634,31.747117379895627,27.06337479113786,30.066521139550044,32.98040749761211,33.86849781379426,38.34302346802074,36.96945069652116,36.39187823623113,38.944414744718195,42.69113976511098,40.74228112169836,37.57916635435407,42.556355410167235,44.20364122205551,40.771775968029054,43.58774177077954,42.70332664172133,45.78494827720095,46.9385955431603,49.915169083113206,48.94905364866201,46.431453913119164,45.34963562317773,42.34437571508181,42.40589718577633,40.592605757055416,43.68727184454045,45.48587749878213,48.47359542718442,49.645276506977964,53.428226488167795,55.74961618150283,53.15758129995103,49.894875816968046,50.17592023848722,47.92522680106275,46.308069113457485,51.35296373138841,46.109276930946514,47.64184680065742,51.66622926725588,50.78667646236857,50.06669150700491,48.799802134348425,52.22933231168722,53.58297786493787,50.79941814932497,54.11895754257282,57.79573788150799,59.48059330483869,61.067799048734955,56.48203451459354,60.73197405298644,61.46456777136425,57.699124773968535,58.681005771426655,63.06391790705204,62.50270488570265,58.150414893766296,59.71476874708416,58.6988607270961,58.29584655203221,55.67156730857863,53.42664071727365,49.75784804561616,48.66236692641657,44.8053918898641,44.45488244298279,42.18266618900117,43.596950079399186,47.109704367515725,49.42003717594897,50.62928104601178,56.692360973878635,55.52298619247437,59.459228250221294,58.19034979935443,58.48443757427679,57.65733692052321,56.14161155945353,55.62361933843747,54.61978539799934,50.65408497034893,51.01648939418223,51.944604379474676,54.59825011479435,52.966102649869576,57.51221819319096,54.5433959729041,57.16146852140703,54.59092370218173,53.7758814143136,49.37110772642532,49.975978951649644,45.85806402400708,49.619271573770746,47.94199080344466,50.819764672955024,51.0378878127711,50.82771625346116,51.06382975200689,49.54184191395157,50.516852562447724,46.20397974842269,48.654181677417014,46.29098815942536,42.74062812790373,44.32252911747847,39.963818899646306,39.465807963989505,37.23696798459837,35.477211961018625,35.81859892477568,33.418149522599855,35.90085899623959,33.713265916928584,37.49862063066518,38.779642682434414,35.3662425309727,34.40101709348307,30.368197050270005,30.72479180985128,31.39644755094335,31.84135917082937,33.995115082598836,35.83112722177747,38.06259532564403,42.42045800881795,39.67937297023583,44.17333048109553,43.73487770237945,46.49723171640262,41.01100820164057,38.433799340295394,34.28241328043052,32.582846722151295,30.403949850292072,34.27090119429267,32.373217793793465,36.371373739739646,37.50203176919206,36.90557610141671,40.587144752621185,41.4371259356869,38.68376307964385,40.314271896184714,41.1177270076783,40.04592825048576,42.525833017407265,43.197650751989855,47.97557271578942,48.23819051219055,48.62507598042104,48.69540972488885,45.84606708399493,46.32370101623639,45.66465519324357,44.659200363549445,41.97775438638687,44.176459144216764,40.11845770624488,44.75852104177229,43.32800384039959,38.70738772554128,41.36273329948693,40.97321032312034,38.56628723187255,35.84316490110687,37.71951561170389,37.424566529358216,42.18701485628437,45.078934128541235,47.23470694365408,49.52927835471813,48.60533080534022,53.837391834938,51.90481738438392,52.79930291020883,50.088381680859015,47.07182130553175,49.38485961896046,50.347366744906225,47.34050223626174,49.83078406001902,48.639805561953274,51.84338066994758,47.71855289778721,49.45429550443682,49.15336543993841,48.171817446844024,46.521587819868486,44.625385042861815,44.893088406855384,44.21114274510973,40.14471192680971,42.59523506584026,40.22886021854136,41.41171287100947,43.58809613678072,44.29252925326458,40.48085843849713,39.14699780317703,42.73499174503964,40.33548191827296,34.789726520693904,38.584263302242505,42.58437613161852,36.79562774651538,35.82428283253654,39.2597233190236,38.538729739126204,33.95873135610952,35.65082402516238,34.264055878216666,39.838622015344534,36.19822014321002,38.797560997514765,42.493110790428666,46.07131873659989,49.50981925946296,50.97301797471243,53.34985373929101,52.03056327318997,54.93840341316412,53.534932834133855,56.08638496546457,53.71402154933404,48.42932962155581,51.35432965647654,52.6405937196311,47.95988730082446,46.68956495830277,49.34180624457714,47.055070543704915,43.10101111642895,43.271239897506376,42.028484134214146,46.317251782247176,49.52013091471406,49.8379288776977,53.0201194545644,56.15571410776811,54.34896022624181,49.87300212894874,51.88933858616209,53.53525273680175,49.019913936976764,47.04426505578661,49.830531547102574,48.524197218635294,44.67135849128366,48.35535964823774,49.36578551883072,45.23430162724933,45.016127168407664,48.4780384552764,46.66033737600208,49.634082875400416,49.072872696465254,51.43295046963019,49.14252564781222,44.10216903839138,47.10796022660029,46.9364155517107,43.538648860275934,42.188124891383765,46.64195612716606,43.711973056574124,39.02648393941526,41.33858971932546,44.42635479123213,40.97389332180075,37.356411642672846,33.51662092589291,34.04839255865493,29.695628454747965,32.607882599896115,29.099474781242616,32.262690665040836,30.644987603772222,26.57965433786561,27.956618228792927,28.357841950739502,30.39212265497284,34.439845366290314,33.12930495785642,36.979327547104084,34.47327771146857,35.61541066120117,41.059084414449885,43.17420416961459,43.92894290721733,38.908146473944726,39.08454935187189,42.09091489469834,39.12805278854252,35.30766035097396,38.88493615057654,41.929597914696366,41.872368200580006,43.235857319477205,44.18291725653189],[36.95332737227697,35.492002918994174,35.921077547304535,30.99234350141723,33.56531843603872,36.540149613768655,37.00202311882371,41.43373474885458,39.83799012845631,38.75334549735449,41.15339155084531,45.09616521667953,42.783839475189886,39.399536857120275,44.17547313383257,45.84103216799659,42.15772580901757,44.53868608009533,43.06988627415651,46.27728524123708,46.97337887560661,49.867455840821,48.5269812100671,45.85540417705434,45.20657224369385,42.3965863974084,42.91749363326945,41.49099895310353,44.82068946155131,47.01999797174463,49.711455607535555,51.357849247602,55.09029738941253,57.049371640648644,54.49137392599062,50.99462688686538,51.66220162885791,48.932117299759376,47.23982122188098,52.176664260236535,46.635573077257135,47.98411443206649,51.8500367504512,51.014322018213235,50.002248935991304,48.90590358819724,52.10651699360646,53.63417188298595,51.26349013234637,54.44956770434124,58.11158163042985,60.03686603065554,61.53439605794521,57.18839594222365,61.416353517537004,61.82519881873087,57.99473345732651,59.234841765781574,63.49404813395928,62.58164392234391,58.218421076040414,59.81152441279168,59.003453534053676,58.14227093441387,55.575074001572844,53.67674869505955,49.79509624020097,49.110051915549704,45.06546786980232,45.10339504346856,42.60245387798201,43.751993118705755,47.498885812547805,49.49977457109046,51.16453473255545,57.04630105746361,55.986842580941875,60.11368912297368,58.917675272646925,59.13015692694825,58.699405455436256,57.18059001847885,57.107831241906155,55.99355751179942,51.88161548775432,52.34135008387328,52.874322690553186,55.85793600299362,53.80697013758602,58.53925660417723,55.421525631853235,57.87765426385243,55.55266822513051,55.06814246744597,50.84211582405827,51.479714460289,47.522907934549245,51.521307315080264,50.147926104402835,53.42325566005087,53.258282107406494,53.46066420080998,53.27751967917036,52.13976386052533,52.94395060154098,48.88737345088832,51.54239345487252,49.149671589118554,45.845921818179214,47.41918782871457,43.13586087414719,42.179489899934474,39.97510655487497,37.79643326607618,37.78007028802499,35.068514697454525,37.111867030111185,34.47299997813798,37.787354113696374,39.57726967053488,36.227586648639715,35.73969150205539,31.77254102222284,32.65008430877674,33.859971470816205,34.31818540081861,37.12699129311601,38.600332886313545,40.914228742748854,45.01751536385006,42.38321610829382,46.87718969321141,46.02010948854939,48.823795203938545,43.1653447849695,40.60042826690816,36.71051268262919,34.52984787024602,32.01704092541125,35.74042337288118,33.072066350395865,36.625427414182745,38.02234225271972,37.887309877322565,41.54064869538272,42.718058118330205,40.18285148571884,42.214733753068,43.38443476107438,42.60677974557321,45.43301455232159,46.19403155845375,51.10119235750972,51.546641984864195,51.576615041755815,51.487612618792255,48.405975496950695,49.01911813321033,47.934660777281024,47.10450252741839,44.003945541533895,45.78018917676033,41.49480280734201,46.00445466476131,44.56853030140604,39.69965486965183,42.65249953337904,41.94154113066645,39.935822103146364,37.19160164725082,39.37646076087414,39.0036411952644,43.834870231575835,46.79664865416769,48.9912331403152,51.55284890686042,50.50645884702902,55.80063937254671,53.58576290503867,54.68695546311214,51.72102091543286,49.21832855860092,51.34203118697257,52.09161130044637,48.95671572675543,51.003106301060974,49.576532969656746,52.59153541613349,48.1907413798099,50.270023544790114,50.021889042787976,49.380874214213804,47.979719310682604,46.394840545591094,46.92244757488858,46.50557069064759,42.66254492300906,45.42643788366583,43.411582341198304,44.696647772070385,47.153452706904,47.95445004993503,44.07506790012663,42.927494970786974,46.69417770782037,44.34674900029694,38.82807960510598,42.77247727433283,46.87064751328074,41.12174394727656,40.27226549299961,43.8037936537325,43.05633580664897,38.537048033555656,40.349053251344586,38.85566379339327,44.49429693930922,40.611820739727214,43.15434956029949,46.94277767328703,50.35820442359173,53.932885718049896,55.18464939153461,57.51802579391205,56.04128336761529,58.827576313153024,57.29373218198508,59.69015248367278,57.43523794911779,52.10883299493887,54.82029343757443,56.004600870279376,51.39510163107149,50.00326382252878,52.38343515356527,50.12257486551629,46.32583199130667,46.1387676460247,45.35605615420781,49.476892506060665,52.81225880399144,53.45100835800764,56.58284652234559,59.92388567260618,57.96683479064989,53.50533577530052,55.834028122168824,57.44011419516757,52.826777701211654,51.05941977641669,53.9973029254933,52.69336502782062,48.90598918725998,52.70517631966844,53.78199104777984,49.67406261050105,49.535504553414846,53.02214618133151,51.129128262144995,53.97669280860632,53.224499786031586,55.54413571166789,53.447823285965455,48.32557580974337,51.10974665962356,51.032969955825855,47.71269405414088,46.08922386026659,50.46591446394847,47.67784845741276,42.95808318671066,44.943439720436466,48.05444125779416,44.71667140720402,41.10156704537547,37.44265945515423,37.833511543775735,33.666440183560695,36.90370921152379,33.445597148967295,36.5471636703615,34.992138725062446,30.926767140084394,32.0315277717058,32.23960078399327,34.01947261900203,38.178253090635906,36.7058510693137,40.325199104881364,37.74212620206151,39.320511060807746,44.67162446140077,47.0149887449071,47.615084326711106,42.588770881719995,43.128443543890924,46.13007217340605,42.8523841029492,39.35150464371068,43.16443994352596,46.1135421301806,45.877937466445076,47.10250800093,47.897521434916435],[33.391432554484155,32.11550137115638,32.81817578548474,27.61725072819934,30.51221607936772,32.79538596981223,33.201860072321736,37.52929937167057,35.614875668739344,34.60514461572834,36.837643708599956,40.79491257956691,38.80081759475269,35.23896711256115,40.01741154295405,41.86902775509049,38.43917519757358,40.945748903894426,39.81589019268332,43.208722586914355,44.139242631288084,47.31316633893606,46.14953498773471,43.74557833781912,42.89851784280832,39.74288889901539,40.16794328846979,38.38099496356878,41.42463678561739,43.41869314835644,45.83210508318266,47.5114285601886,51.10770349389343,53.22400460471995,50.85897370265615,47.52408730618675,48.23064388357035,45.89347007517589,44.483677181531675,49.772766506994905,44.37891284964648,45.43688243417249,49.4931744118684,48.89305263839517,48.23739434033238,47.347121706992205,50.73368839567852,51.87251617159777,49.41087093767803,52.995080102059916,56.40266448023391,58.25738833001536,59.5469510803031,54.963474002883366,59.08283014673213,59.62552865953455,55.691650227026244,56.63324106662511,60.9381156291972,60.315339898225005,55.75353660953221,57.04055187482541,55.948789693638304,55.31028538413586,52.918435577158895,50.783313946901735,46.73214509475393,45.726864171940655,41.59633156137692,41.284812212417265,38.827154188593,39.9350663620024,43.660938287284964,45.99246889354337,47.512645934605885,53.49168341170817,52.65940092592123,56.645140063199925,55.63911870556601,56.13660472017387,55.62685008632669,54.40742532457938,54.160482806858255,53.426219003767784,49.33283797753434,49.42010225181031,49.93988514381502,52.61932816787128,50.545879853712684,54.98323454892298,51.76199570001908,54.09620300097436,51.59862745911529,50.98880120833547,46.712732254562056,47.155084185239694,43.16877741410713,47.31735875790793,45.94703405810023,49.19823931525474,49.32890089812382,49.69655001258236,49.74670719632257,48.77536161920848,50.04686061313857,45.950761790317316,48.80006424031268,46.72194041590608,43.29168428125789,44.50658912884598,40.05456027500967,39.06239210894394,36.46705075202117,34.508827154520574,34.17345013239806,31.716821386940087,33.7969571057572,31.547748062649966,34.74413938136813,36.10315637440254,32.63245077584546,31.94691558970462,28.213150237838097,29.011621421431965,30.117868295775672,31.15564241988483,33.89585047575768,35.72532600371827,38.297663646206715,42.529481260811316,40.36047322215962,44.94870034961681,44.294852449781736,46.690150871466884,41.19372411677145,38.25728415836047,34.63886135650403,32.277279672996464,29.664971409022524,33.283924762609914,30.99858851435583,34.69454070247842,35.558729262680714,35.26760686223349,38.946393883770455,39.6702850086464,37.099418853143064,38.846036546289966,40.025219882293044,38.91450823913519,41.79962131840623,42.198268523881005,47.17861118837374,47.328806713578054,47.30160599743007,47.43471442858866,44.438435291700934,45.3170939852497,44.28534797100626,43.848645428897804,41.09420772380207,42.79073982300253,38.93863845880805,43.502831048584895,42.524694473183345,38.076362030928706,41.18847119623139,40.98081056759658,38.942639293191846,35.86410596154108,37.772896662275606,36.9784556925237,41.62819153624534,44.34197696099097,46.24950897090886,48.588798293647706,47.245508140685054,52.64213212807244,50.762805243971684,51.955399538041384,49.37467881830747,46.650818446713856,49.25326306667221,50.31253595616622,47.12991934947133,49.15214069799736,47.534906386341646,50.94815046026711,46.85865251193536,49.02262632240322,49.07266314358337,48.078256151731985,46.84867460511329,45.128583989039726,45.682813141895046,45.39593220387152,41.30168137600166,43.9277127352004,41.797533578571205,42.59246270536504,45.21475410703752,45.57146972160371,41.60562949704877,40.85911159320117,44.49139853384439,41.73736254618309,36.51412957285801,40.626091688599246,44.31605245093875,38.366634765219985,37.823257747177884,41.31745056583527,40.119144677793784,35.715038022990925,37.94873927418516,36.73944293883188,42.41549120738208,39.25537984276838,41.49450407140154,45.2145357150449,48.974567833085416,52.505409544830876,53.97321682013776,56.02094603951715,54.50976421809488,57.24662937247301,55.49390917962991,58.23936186535996,56.18488248099075,50.63603369012964,53.35225667952173,54.999529520769364,50.41760960461466,48.80632647559811,51.362699292024665,49.54489780890072,45.57978929081781,45.139710442118094,43.9639474813228,47.72949850962455,51.09798350906114,51.491508289791696,54.38353757198873,57.584778711260455,55.39071259820554,51.09704905271284,53.35854359958223,54.640587194401746,49.96368461739475,48.39464465665398,51.11060744163097,49.58462485786378,45.96976417985681,49.977558408241556,50.798640571815405,46.527099082827675,46.79583657259766,50.42830319267598,48.76392939670782,51.69895838429505,50.93562546366899,53.57304518603628,51.53693798741518,46.282485676089586,49.30387373060705,49.53075496660755,46.14934949725264,44.563614848457725,49.33019088327586,46.74844458723245,41.824453729332106,43.97149646818282,47.45311422474452,44.25914997809789,40.487878092757924,36.48174588363613,37.53627710242707,33.12790868563972,35.97156396783918,32.02734748873658,34.742704352931035,32.59144757268834,28.934250134875022,30.29175430767369,31.082942079873696,32.738222734243365,36.59324281619243,34.56434428281355,38.179956514222425,35.13339735180806,36.47808184772259,41.6843566282352,44.01178042427731,44.24000200225867,39.28840015239106,39.94424668132241,42.64725415674195,39.126935178451255,35.81262962376606,39.70964841269799,42.378681454152726,41.96276399233386,43.046532367024014,43.81778719812654],[30.309952205452458,28.689799824986554,28.986059313519814,23.999833202914303,26.644280259842407,29.60934012627519,30.21755923566049,34.69371875230995,33.33018489799829,32.55165712809506,35.1647377290506,38.936759399089404,36.782785711135006,33.681611608100624,38.658300757257344,40.21734106629798,36.70885672995993,39.534555618447406,38.690915215013405,41.70475762660104,42.9363588342946,45.91027670529395,45.04469697613878,42.58203513327949,41.37461247727986,38.330348977714344,38.30564413711883,36.462977934421225,39.57006129349976,41.3931200971521,44.47541925630034,45.61655975980482,49.44510440790199,51.72324678019026,49.07347923121578,45.79156913028121,46.057288108489935,43.78284430565242,42.17231654287327,47.25516364172537,42.041914519919736,43.56435529709704,47.62059187603182,46.76284598695627,46.137033099156604,44.90323900766767,48.402935820900474,49.644440380634194,46.81441145606032,50.25022358246661,53.85735485120591,55.526285497147356,57.0606891005249,52.42306498342202,56.65513709346768,57.41665415682471,53.64756357536765,54.579494512866326,58.97297965663286,58.47459604299518,54.11276762462277,55.67836634733134,54.64681659774962,54.33696726990028,51.677229249232234,49.37007890307065,45.78853456655382,44.65239360741467,40.890001233708134,40.562057881081145,38.35555455734124,39.924707291804815,43.324941342245396,45.58818520714354,46.68746263024481,52.766309306245205,51.488982487084506,55.416539394269435,54.09366297374167,54.366530290761716,53.514149987321176,52.004665140898986,51.498823815172905,50.52618774528826,46.54941079086456,46.87833598978821,47.80341755060037,50.45997811521789,48.853816780306474,53.43321260363044,50.51749690140191,53.220446453414255,50.67468266901715,49.86412980162705,45.465575724895956,46.19451370153826,42.082505376022695,45.74312544659725,44.095905483432645,47.07908664663973,47.092226015928375,46.95944752442891,47.049220440390485,45.636744244783614,46.60018989280028,42.37201956241843,44.964070399315204,42.67558570087568,39.211716904386975,40.69385891224691,36.338918917588565,35.607938007396214,33.369692690930556,31.466264972311475,31.75538974621162,29.294838942685345,31.771163020257706,29.594576487718136,33.47676468457617,34.72703691019135,31.340863884153983,30.369515903771692,26.271600787248673,26.66052978694026,27.45550607876548,27.877071370960415,30.32227265834146,32.028605928278154,34.368209092041084,38.655117824752864,36.130893162948894,40.67610040426981,40.13715140042171,42.74972158367646,37.25249734739821,34.54369811153931,30.570669181753,28.64577243113239,26.370382926529967,30.194781213923672,28.339017830778587,32.39007982852999,33.41680698881672,32.77916790032003,36.46362752670146,37.29046179432269,34.54499516730422,36.222753265410944,37.10003329861114,36.133973235515505,38.74476421656047,39.526706233893485,44.356084134751235,44.84098344201171,45.05007047141783,44.95382456409287,41.99454084779886,42.46557694536302,41.67148825686164,40.70043054999975,37.93253302865217,40.05441148927001,36.01866600277946,40.65996850078138,39.33213456434453,34.814403314507075,37.578251371879176,37.35895144243727,35.02320328870392,32.12767467524743,33.95644794333982,33.48316966806157,38.20967307118919,41.05427057825211,43.16422153897044,45.485699654238175,44.51910298044589,49.768896253473926,47.81403949377107,48.763222064208485,46.07834697041157,43.128985067943276,45.530254918843404,46.548104960234745,43.48719033546315,45.88665890887917,44.61718536026147,47.922035732565895,43.89172307080356,45.686752814713834,45.52725659534914,44.444879661025915,42.934155276940636,41.06036549902879,41.43867535006195,40.94801439897319,36.83878265385067,39.38830334565226,37.18209930807081,38.17810289799823,40.66151748236029,41.23214708067779,37.32187033523437,36.33817508032274,40.04368022423125,37.5161871047705,32.11966183469792,36.19061719783926,40.126063799718565,34.319450010370915,33.655572495186874,37.24631746214648,36.336369717340425,31.909069367488627,34.023885741609384,32.55170786985035,38.30152126439124,34.76057912341938,36.98424829937783,40.790852365627856,44.385985364597204,48.04209855491259,49.333899189881514,51.39313103193678,49.83421537588221,52.56673295973726,50.880395831107286,53.515535912194906,51.40515299982035,45.90746710172378,48.64061281085961,50.17499323508135,45.57690525047355,44.02955017565906,46.59850437606997,44.677660154020316,40.71266937991523,40.41100130488721,39.23656349024057,43.187681708498545,46.510408097083676,46.950253513357964,49.97062890912665,53.226068892932965,51.18900868472537,46.784384050510155,49.06554687273461,50.556223477893006,45.92487907639293,44.216335766946116,47.10952225045636,45.758769903191414,42.02151974869663,45.92742591632348,46.97285715266852,42.86017643358155,42.861769036235955,46.42120135752183,44.572145507400606,47.393020157437014,46.56737291549922,49.05955142814124,47.06990739122328,41.82245414441577,44.70296733246616,44.86866463832793,41.525721269015165,39.855498415708475,44.53441312965309,41.970204552943606,37.043756891819235,39.12133357826829,42.57907289682409,39.417468906804714,35.63808348891092,31.684177351397565,32.74605494470008,28.386171589759847,31.402492226493806,27.47194175863412,30.21719226935887,28.336737457373985,24.50297559632416,25.66215742886141,26.283399549801988,27.934113461782,31.877812265515487,30.08465824518831,33.760496237934724,31.01096988484465,32.41650030757327,37.75870053569151,40.07178688965562,40.64862040288209,35.61580728344765,36.15928991954453,39.15217919097917,35.890389978948306,32.38275399848463,36.26806692911206,39.23442057692397,39.01563222069201,40.28928882612399,41.11813662971365],[35.425405534785945,33.54318897851887,33.2821831860872,28.193154052796416,29.977343529300413,33.406389192697944,33.47522002528397,37.91113037268149,36.54815161547318,35.118913548310516,37.6895717074712,41.62683134641996,38.81783845571753,35.66889951857892,40.40652771835615,41.806145014431756,37.86107473421537,40.16384885600517,38.54634124600574,41.51517844558792,42.19169856742725,44.897002328240305,43.6153605687197,40.85416505337047,40.12146715003011,37.474577964113486,37.91570327216467,36.6880132633626,40.21379758786679,42.57301467657746,45.58661086463628,47.14558015278888,51.02348184158923,52.81852837272001,50.05151030763856,46.43613409773286,47.04285516567091,44.03667717624845,42.17307213838566,46.927796508105686,41.35120464244395,42.88063409755258,46.67370651528124,45.715467556991435,44.628448790556476,43.43988491663302,46.64139523139212,48.240125658426514,45.83842408272439,48.95186088304938,52.67340113846693,54.60826276660304,56.162379147071064,51.878586684145354,56.145962404982306,56.534092026373976,52.76657514025872,54.108884175064304,58.35964721467773,57.380722336582885,53.132996731638784,54.92932572356551,54.272130358017485,53.44220094838297,50.69525297071269,48.83682899059348,45.2169075552445,44.66440478533581,40.83882798463555,41.13306679566926,38.72096286164862,40.15377518565866,43.71627479347597,45.44103467691835,46.99899347379211,52.842902937259964,51.45793060479723,55.64898290337556,54.24077998334085,54.23667731445457,53.798984445999714,52.09884210954802,52.14116928316462,50.83673995762563,46.70910035168662,47.35830029887992,47.90356382997951,51.07369209267098,49.09696728337886,54.05850610651428,51.10495359477542,53.77786880147893,51.597193219916626,51.18788288972947,47.01301787494616,47.96643176346281,44.049394111376806,47.77093340742073,46.44171368012487,49.86369646115805,49.20596956663483,49.41139428532502,48.86184767584398,47.78568765615078,48.26754923353849,44.39285147573315,47.11587871148129,44.65306323904754,41.59164224093294,43.23051696842783,39.10426610377915,37.824358498983436,35.8852752037452,33.36017309432614,33.45834607337701,30.502735278819582,32.473951045293006,29.59114417617613,33.114790157576216,35.143248247287715,31.93275213881755,31.583471229244747,27.40953722833754,28.41269228301318,29.888785744864368,29.930810609402283,33.20295639388017,34.218892300475524,36.50002444376068,40.363873368345025,37.7825136719314,42.25351770268961,41.11567271496302,43.936064446939646,38.19297852945701,35.69459681793129,31.95417278056573,29.545084038640397,26.954352323135385,30.635643407770786,27.750154342069237,31.267051158956956,32.86198539678947,32.779654011964084,36.404435605070915,37.84549364645047,35.3652486723993,37.65079798800124,38.92366680570975,38.53426206899082,41.49472574850749,42.64537724705766,47.53801045592058,48.496016537026925,48.30456955807811,47.825932751812424,44.548879685824446,44.97644827641716,43.66225970674922,42.636479000059765,39.19900477797586,40.89225495273849,36.37719389052628,40.829217731093735,39.25849976471992,34.284214676999,37.297466987814204,36.52147694332126,34.658465093985214,31.877526238943442,34.168829549101815,33.79974907425579,38.66854953374884,41.7035887267391,44.00353104970584,46.73610713613479,45.823890858955224,51.05237054142435,48.59975884535926,49.718763380628964,46.558294962653484,44.31236950696801,46.24995763539982,46.88290581315251,43.70959645965655,45.62881777724643,44.210663059782505,47.12684075041055,42.67454688724608,44.784875869992256,44.56596336797224,43.99007655131174,42.69720830049884,41.23925566386076,41.91809499414198,41.71421180321585,38.00096747742051,40.98227191623603,39.30087135439104,40.607388507600604,43.39637176810178,44.27175782239585,40.339515187814705,39.46802568614257,43.45591702260373,41.198408275938164,35.77763864125836,39.970648071741834,44.188236431306045,38.59846199352421,38.00887650018251,41.74958487629428,41.01567081276216,36.69316821524377,38.823745606874326,37.05051679482875,42.87018099479488,38.723140566037785,40.889315370778114,44.85217684955803,48.06367926749513,51.9660147553424,52.82967378169538,54.858662128176945,53.054826636501566,55.59717151004903,53.78494956805782,56.08138322948824,54.10615957231869,48.62577909119526,51.03436246663146,52.30178442776553,47.81887778672698,46.1582247712145,48.290638702735244,46.320114804853276,42.632993360509175,41.8964132175968,41.46901149289591,45.27757662901177,48.74860583989411,49.7169088231389,52.7372230809961,56.32591934306761,54.1834175833074,49.75205216946485,52.498244183438814,54.065363085496315,49.3548864607595,47.871096225552755,51.0804599756874,49.85984245904636,46.16472415580381,50.12890541085436,51.4067699406641,47.45640050523365,47.3868849589155,50.90197286069469,48.83524007672357,51.38852016558191,50.26049215994266,52.56642272530231,50.88714934840094,45.576828010057106,48.01175565896822,48.24656897817212,45.065134234580555,42.96143664714181,47.40286477694954,45.04758609699923,40.12700289144764,41.65376197421808,45.07391630332314,42.09346351888043,38.352256172575395,34.76971160850119,35.520663609079904,31.521668067646218,35.115395053079716,31.39275212847896,34.1039140683149,32.57002553594205,28.638277088379738,29.256551242306863,29.39979721924712,30.677233033637293,34.828068963433154,33.02514274373972,36.334386118427325,33.723201832251625,35.827362952111876,41.049727085227005,43.67149679912497,44.24057554465741,39.20282852450475,40.200580151149566,43.33536900127479,39.81021738370024,36.69109585520053,40.84889099992252,43.827407192509035,43.47577832114437,44.651812886567875,45.28404002144666],[35.755978913476945,34.09420608082681,34.078175087393205,28.61055519477678,30.53864811169105,33.18656985212814,32.93119838947892,37.19457420862049,35.28682981612928,33.57659938316332,35.799925175602134,39.902154193021175,37.21416388816936,33.65888966612507,38.213946495307525,39.86782787483842,36.03024120705413,38.09240136319226,36.34801082185845,39.677805793442616,40.20731090252613,43.18614199681443,41.75606602409197,39.17099740465566,38.622990778706146,35.73221268970179,36.49841450315275,35.18143658600036,38.559756165352745,41.01343529794346,43.40911753576657,45.425171760075585,49.082395496871925,50.761710593151925,48.271235618596364,44.65375874475696,45.64725338828099,42.70926535855234,41.1275801074628,46.20382520781479,40.54831677039305,41.55146252968377,45.42693378196812,44.79663975206657,43.8685431471307,43.085607032869085,46.28882415445919,47.584696457272145,45.4542748706149,48.90532533290038,52.30823692136113,54.368070179090296,55.60115109065104,51.25605356409624,55.37234090133827,55.63020441041082,51.683326469670824,52.89942669087988,57.09209264667941,56.1410047424217,51.645163116161314,53.09051138007349,52.2763422550809,51.28549957622467,48.812257274741306,46.99063590411836,42.9476281889356,42.38525389145382,38.25836347452017,38.48071010625717,35.89642554012995,37.00431131190534,40.783556671746894,42.63476485696013,44.45706933049133,50.252815744721914,49.2677519571668,53.45980768063806,52.35870857670079,52.63387465466373,52.45305492320237,51.11288100722061,51.323715925126145,50.38038804453882,46.15996131461474,46.44563635114043,46.63122500154627,49.71562829180859,47.34127063074691,52.10002243716004,48.87916643641732,51.2420001850223,49.06605285890302,48.79572392101799,44.71879130062086,45.43977675950743,41.632919287966985,45.751594701509894,44.67784251995642,48.37062384144364,47.79414952855735,48.51505262291182,47.934689543995,47.34562347461991,48.246330353144195,44.5179959638808,47.58834546606819,45.460842190371096,42.42556669631738,43.65856705873773,39.40373199072195,37.78631684673786,35.41190285026096,32.851448892051934,32.27515221037536,29.3820049485933,31.003090438864895,28.19643792692656,31.105513180898825,33.07989564194743,29.775723295752737,29.624639377987865,25.81976519687147,27.179032698503473,28.955819440850142,29.70704980691278,33.32937702545407,34.511925827298356,37.12629306771763,40.949125612424325,38.957549009105236,43.50726952419017,42.31899009373438,44.71344454920719,39.05315531251381,36.16182374936455,32.93125386209711,29.991941147199608,27.039498764138365,30.45413663660166,27.37280024563949,30.633389912055396,31.816454643969188,31.96678223099057,35.58701087996035,36.75880636244167,34.42998583491487,36.697020267630286,38.267960133076016,37.70016283514907,40.970311790448385,41.73763349785015,46.794329106539074,47.49738985092746,46.99876004886984,46.69202527257973,43.35900674524791,44.21042673397332,42.64498122160267,42.22679714542465,38.89096392963758,40.14453034166521,35.97240545835166,40.36526365599976,39.33229711699515,34.66441936630448,38.08140667520818,37.614558100578016,36.038099182896225,32.89694555069022,35.098657457068164,34.19571529165145,38.8841977728181,41.67720987507787,43.66634518598086,46.34039418405904,44.98139799859599,50.37177783602204,48.09632899127593,49.48179739450809,46.57515965629999,44.47506886438531,46.805289481954915,47.621070887207324,44.31029645028502,45.84663088044826,44.0176071363228,47.224961152568895,42.91039198226414,45.397904574630566,45.5517552440108,44.85892480414849,43.94687101210789,42.57655175879271,43.45913198623911,43.562002113606354,39.75211127399681,42.7636410746661,41.1661404602161,42.0250066876219,45.11484321461261,45.584083808875704,41.53894477715454,41.16546574196352,45.08254158596241,42.438763045568734,37.34170456869117,41.73863590064198,45.575688858699046,39.80009689409091,39.54774681607656,43.261483336352185,42.061981466776224,37.869237223443065,40.41820077693714,38.9161131823614,44.76293239566445,41.22812065824649,43.138699290324205,47.0494376399435,50.52985727274547,54.40011939109762,55.4195647636829,57.19705057003567,55.319630458277146,57.769606392261885,55.701895321113845,58.25850151168605,56.51918350852544,50.830238252484776,53.14397502668083,54.793044885009415,50.37691718701424,48.46574222534394,50.62462497409265,49.07715055928404,45.321330007313236,44.18314015121007,43.61355387522704,46.9751992148485,50.53866307506101,51.42125419262679,54.168860509163565,57.706630324497816,55.249319971292806,51.0105012173695,53.82749717402292,55.03584730566049,50.21948035833208,49.04249689778581,52.07318836181768,50.614905137107264,47.13565336533046,51.34912893471517,52.37316179676202,48.25441334626214,48.634828107857416,52.29924331739601,50.44868413905029,53.056775288041436,51.861184023014864,54.45739639094476,52.89274480831854,47.44421536757035,50.02865963345385,50.570071574116874,47.35883075367294,45.2128557587193,49.96717657791683,47.82701311944155,42.73848974211836,44.297463043418766,48.02840660248387,45.19617407769637,41.34228356679005,37.533053123009005,38.758166022855185,34.614340105818606,37.938546318778386,33.84820945460691,36.221873096057756,34.143100310004264,30.60168228367987,31.396064237125223,32.00441185295277,33.09274402296176,36.98943418035798,34.58309340714548,37.75941364913521,34.627384226727806,36.699522204153,41.69998985105657,44.412359934873884,44.48518569643017,39.543676794410715,40.839436128784136,43.62832059373395,39.68021783786951,36.93725288558672,41.26574481031151,43.87417959581819,43.228860440959345,44.15855221146466,44.6743307934974],[31.088256570650024,29.296910694592608,29.130562507756125,23.60450344055192,25.501737546074565,28.14539807424723,27.955034126891384,32.27392478811222,30.544752913011095,29.04480996514472,31.470642502674973,35.46293195261884,32.865427824483916,29.525946995920084,34.29231392257382,35.85824835109789,32.129512541154874,34.5936876806077,33.38012597323406,36.55005842293686,37.547989251482484,40.59558454105984,39.57492039095697,37.156291915891074,36.11391921918478,33.01620405268553,33.30190316364128,31.618929181714876,34.84001842178903,36.99390416722044,39.75381180221233,41.3461664650429,45.109965490588834,47.06431794381669,44.47532551306296,41.01789226221796,41.66896459336813,39.09018255938687,37.55894304730371,42.77090251911027,37.369693029502805,38.54414195149908,42.59152120971258,41.92737476353274,41.3170550878542,40.39913103840085,43.856340392451244,44.92915861360023,42.398691257444845,46.04984881763362,49.42624575593264,51.26905358863636,52.55137021073595,47.960060086781695,52.09316232979482,52.65170821768251,48.75589500029451,49.72538281627405,54.04490353675205,53.435318424687175,48.94353408302528,50.38450117279496,49.38891824966752,48.863600190817486,46.29666811355742,44.12239141330818,40.33780729782937,39.38758037847659,35.49365368401684,35.40367402228778,33.064750390933725,34.55885780952036,38.045899731995775,40.12501057786787,41.462309973093156,47.448527588609245,46.26182511276512,50.30153186695072,49.077757634759045,49.39160115333456,48.85059058447267,47.49844606604728,47.350214786811414,46.50528762719906,42.380197092097646,42.57164667899586,43.09629068892147,45.92679500656226,43.927252220872546,48.58633224265252,45.531414336200456,48.12240642827284,45.75221220599307,45.20335686376863,40.95963286987463,41.77000167940071,37.81085009510028,41.65784628165987,40.348869912089974,43.81996720469916,43.37356709934089,43.81629424125335,43.448176049917116,42.62741892937455,43.64631831086148,39.77061366209766,42.800493968426544,40.74673909039666,37.59100366812535,38.754582932162144,34.43893737063396,32.968858172339445,30.558311698310334,28.178187061314443,27.843813674043304,25.11591580827709,27.129182643080128,24.686027349911303,28.147457510689225,29.668652952297222,26.301136106438694,25.725586105643952,21.735089244243454,22.70911060423236,24.19574795356253,24.92299040957259,28.33371159459905,29.681873169120514,32.3356667612163,36.30578675936506,34.40384779525199,38.99944704985576,38.051738614560186,40.30290795249387,34.7529673428913,31.733407236770667,28.445300562914138,25.65634527015278,22.8495651994316,26.386171001452155,23.970014678625798,27.701054767265006,28.579311165044768,28.28868647831644,31.96667079103643,32.85834689708973,30.329683307468446,32.32869676466412,33.674483272613486,32.9648002861119,36.09058526083649,36.89403339193146,41.90645269630636,42.663736992629026,42.29943782851678,41.973242455432654,38.71765258303049,39.44976946043188,38.10533121441059,37.56032142987256,34.46401915433505,36.013498842344156,32.01186002540765,36.544070754587665,35.58261324216061,31.17861524936287,34.44950463539352,34.37926544135944,32.52786711488321,29.25402656102029,31.174867003971496,30.182552863732305,34.812251207537166,37.528076050148485,39.464738919431596,41.95972552358143,40.66936212912887,46.044460613744434,43.964529431919146,45.22328996692862,42.52720537081436,40.05767627687187,42.610518537329725,43.639206560498934,40.380779446113884,42.21949984863904,40.525578538335125,43.973999261092615,39.94841362953153,42.192961139218525,42.40321190871162,41.35415980792303,40.343431882537615,38.741752226804756,39.50375969071569,39.54816218485447,35.53520867618751,38.387378833458484,36.65856477118899,37.2924765197711,40.41258366967801,40.707414806173034,36.64042549660848,36.41399608530946,40.280890432972946,37.5112718981649,32.5412067207091,37.02425195653795,40.72468925327409,34.93985326879671,34.84954746471385,38.59038754153117,37.27424418192751,33.19533288632019,35.96574044297905,34.48339968629174,40.36141432727057,37.093062703661225,38.742864924918464,42.64399722120974,46.223876108415425,50.13474457729145,51.17006732026409,52.74340816899799,50.81142788713814,53.212459243497264,51.03871850450407,53.76088270350132,52.12968049950468,46.33453586601852,48.65408719269867,50.55223212811998,46.16126563842811,44.138364340414114,46.4291606295566,45.13786471461791,41.271961606767704,40.04539874640332,39.19219271020685,42.41118798659789,45.961877108170306,46.700897236991985,49.362058140299006,52.83452272574325,50.32246639462097,46.12841823693268,48.91523792261458,50.03882740783885,45.21123351406632,44.08772543624157,47.08912823349413,45.60263017543059,42.17145026597226,46.45641510783774,47.46229984657556,43.361129370067815,43.84323633635482,47.54410553937898,45.727076888397185,48.29635321142897,47.04192628641907,49.75255373505657,48.27960632209946,42.76037688316846,45.39374883591257,46.11508363546274,42.90813763502545,40.72509778569164,45.6767657048821,43.71483310211363,38.51012977803218,40.110615515241406,44.07470719082992,41.39216397614309,37.45013944820527,33.47082101036817,35.17375078671566,30.95940717367108,34.092403942577356,29.713348556236525,31.76597562034209,29.45654132575222,26.161906327106113,26.946138980537764,27.85756054815625,28.79367237372174,32.49081993519246,29.814920494443722,33.000325008456144,29.72212216464625,31.698714813005566,36.675513327199695,39.37849111326323,39.42285825127904,34.47924242196664,35.812297558457445,38.59119719026918,34.63788818487147,31.927735554452987,36.325858111728955,38.935575290422626,38.291923222104465,39.25551911317424,39.780887202585646],[32.47240835551145,30.264858559076963,29.426440591421745,24.224592745884653,25.325218027769342,29.00919996077754,28.76280409282376,33.16951946427111,32.042310502525794,30.43533493076223,33.181507801149664,37.038152892302165,33.92131098163693,31.059426255303784,35.81072229283271,36.974914556122236,32.91713533837547,35.328710698434946,33.86874559629133,36.59498215638383,37.49009409313761,40.11496175682647,39.08933560939756,36.38133624051404,35.33071718265661,32.67440556288591,32.82646768147796,31.55422188426163,35.12448851803477,37.4521938392729,40.822616258214566,42.138522267017244,46.14077106320666,47.9373866681672,45.00308992707517,41.392697280033666,41.81425726091974,38.79998534059474,36.86649499453202,41.591482793469034,36.11740623260418,37.81732620816822,41.65568930540399,40.6253132512011,39.68324752694571,38.40601154742975,41.752670389666775,43.23220367671276,40.62069940592901,43.841727942115,47.54425408175364,49.380459732464146,50.95984390858678,46.57834109574368,50.8665349002153,51.38923909536611,47.67308715877316,48.939941379496695,53.24609620358709,52.40943118657465,48.22168165199713,50.11735371610362,49.45367426389311,48.88011911818352,45.990257243942644,43.97779222940497,40.65400760721265,39.99505988635061,36.44399788816077,36.76227277392518,34.5451263485567,36.34494439554495,39.61418479057156,41.253120472836684,42.50130493542513,48.38792720926947,46.708902774832936,50.85596878558675,49.26559896181183,49.155783681655564,48.55146849975567,46.75515870242532,46.71316291679909,45.364099153217964,41.262719307157774,41.96117800453001,42.65561512141953,45.816113596620504,44.05268979374798,49.09657201941323,46.32972833011292,49.236902837466474,47.06968929403668,46.58923766660905,42.39896612889423,43.602819146550615,39.67902453351186,43.070200066028775,41.689376880186444,45.11910366343974,44.16896821855707,44.28988815130857,43.57075254911932,42.478561264554,42.82454459297836,39.035070967983316,41.82853184515668,39.396857123600476,36.46899836651384,38.06765180026967,34.03464621052241,32.539510922886585,30.762004179525665,28.05443138404962,28.31173415190621,25.26122119841198,27.33434715149885,24.457293749727796,28.373203160439736,30.338424636641903,27.22689073945676,26.796475385192586,22.42938146981039,23.3597073924252,24.924671185208798,24.653718573882287,28.218847766913036,28.951530660024595,31.25680528250711,34.99690047010634,32.58304544560619,37.070265521269626,35.83627800581558,38.53519793970884,32.791607276458905,30.22656246602984,26.641722490039704,24.05110824869128,21.42593322488406,25.11953993760621,22.389126042111105,26.12450961178628,27.669946388169603,27.412268406874762,31.042541486246343,32.515331988145455,29.9944814837601,32.337057866976664,33.60097922400902,33.433208514956476,36.44117967063611,37.86598324315715,42.71332037998459,44.050267130355046,43.72823257177244,42.9687217402122,39.5935751231832,39.859848599073146,38.459581533715806,37.284224515547386,33.72356495047546,35.457622540056875,30.889972456393874,35.36690622594617,33.79162660613437,28.90710482684609,31.95002395619777,31.39533626798778,29.522500624411936,26.569192914790815,28.785115060122656,28.300867378257614,33.15453016001202,36.18021688079188,38.49708492907906,41.257921503143024,40.43526762476934,45.61621400556254,43.11054682246298,44.20647498060162,41.0436935518332,38.81447219139756,40.78107108918944,41.46864976295882,38.26950698960006,40.210523409666266,38.817106657262585,41.83761847531336,37.527722648258745,39.581233035150234,39.47097029153336,38.720490993888156,37.5072910844118,36.027333233326104,36.786444336820516,36.76112958183375,33.01726298884075,36.08703964561263,34.60920208404656,35.74654621475064,38.842426443746525,39.62418587461314,35.638913230885365,35.12842483952903,39.23014951985494,36.93670097335057,31.736314907976023,36.15952306038021,40.31836916077407,34.86170822337082,34.59834992435859,38.47038064927761,37.634407277321536,33.57721786777794,36.08130752649442,34.16931413615944,40.08299439185333,36.00757966759552,37.70566843529911,41.75488874534135,44.892796816322374,49.0253004821484,49.64135045442644,51.2996577452,49.2262333958284,51.54439516114488,49.439464341485035,51.78576380625325,50.11321058665764,44.44521713033391,46.612976929644454,48.13323749271742,43.77919718683686,41.82088108458254,43.84151280438452,42.3005563999025,38.63046679294225,37.36505408022498,37.03437994445678,40.45409247738802,44.02883248178204,45.15298145025342,47.99985469534939,51.72090254636792,49.37449009357094,45.02575458706758,48.06823263987239,49.50871043827404,44.72214114965311,43.52307799645743,46.88119236794864,45.6823072918766,42.127053040995165,46.25961336549837,47.63400527644657,43.81032202048148,43.900043801208284,47.45307893166116,45.319724623981905,47.63492048069914,46.19715476899075,48.5853612868538,47.280662251546474,41.80132301921409,44.01492191123067,44.61843236322318,41.551368700123945,39.0766929062279,43.70134850770583,41.80145227596912,36.672841506328695,37.875400841160435,41.6868694464517,39.08744586123979,35.210415597111805,31.585829122562473,32.93283012771038,29.04218624357564,32.7107836818477,28.63288170063421,30.79912932888397,29.111386624531626,25.518436751765748,25.7597877566928,26.075740296317534,26.82971660400528,30.79934188249305,28.52030471138867,31.550217533839756,28.787666705338115,31.250331094895383,36.30177331209166,39.12985989766941,39.596204313639376,34.593537959128156,35.99011019629831,39.15755996246962,35.425140632766094,32.6885397765913,37.116424581570556,40.04789894452983,39.577234175097104,40.69615435124589,41.188134938090094],[36.442771886706154,34.26785080462166,33.32436429660639,27.928663967129584,28.64118784537359,32.0419608269593,31.27372281209314,35.48003386418616,34.01978351320484,31.82297002757413,34.27947111864929,38.31109021387361,34.84750737843483,31.72801188754904,36.13126634003206,37.327687915153824,33.05360735293477,34.88308100050634,32.740741167120596,35.64219298244974,35.99208508635359,38.566215603015955,37.109659128588945,34.274790831761024,33.73839561905717,31.263844481703583,32.01185214069509,31.19080569361417,34.95993169731802,37.73793581449052,40.634884906545054,42.54184746289306,46.41203104960998,47.769546570502506,44.93909175596572,41.09746439165709,42.02377906264515,38.5143530427701,36.58126723883136,41.2285352996161,35.44462231060651,36.79072137166446,40.45710956769253,39.56426615911691,38.35613531089959,37.39275997410496,40.48962342768883,42.05102503981492,39.974062138187705,43.14896627770297,46.71898555037689,48.83794712705969,50.218341252044056,46.08771010667277,50.29528091772359,50.43714691756559,46.61408157501279,48.11879469857147,52.26373850096886,51.07193480979802,46.822153666298725,48.671008259104525,48.20037270608094,47.12158118016634,44.34157891483008,42.711991659416285,39.10304286405632,38.902378680023745,35.13597654813092,35.89706349249454,33.43188018850478,34.917648294919154,38.420155304684755,39.7064491962504,41.46560439777262,47.1171874278231,45.60809874080085,49.942232930185284,48.48577971228897,48.34122150732659,48.22162436853277,46.51929810081114,47.004423334211666,45.64663003439686,41.397485735065246,42.098954998173,42.26135927325856,45.74228091788415,43.45026356408422,48.63254552475754,45.682347346047244,48.3613121319017,46.48177264520931,46.38847621530977,42.45138035042046,43.666569294537624,39.98223748940082,43.63926216041104,42.6563093745619,46.53413036399594,45.17565870901458,45.860627262132326,44.676916053439896,44.14496189922786,44.41543157580182,41.00731242089425,44.0827206765909,41.768164434100385,39.165983132963234,40.595624674667825,36.68486340691842,34.62774111251442,32.80202211534195,29.685883458372324,29.352495016768653,26.029789927030972,27.432444565856237,24.0753728525657,27.231893237797077,29.780190555935977,26.789845171140147,26.98563741869321,22.892805636075654,24.508349950197395,26.7207718402352,26.663683830757215,30.930636514034486,31.298110921130696,33.73594926017262,37.096897929282555,35.05742452472124,39.47507432029116,37.798767093382104,40.33918713264753,34.548724252035065,31.923139259791714,28.917125738633885,25.68369455520664,22.639782106952982,25.930473655524032,22.25847938531866,25.28843899004279,27.016313045166985,27.385469577505223,30.916711889641046,32.681663407382494,30.502668367402837,33.26236688003778,34.994804246130336,35.12078234803117,38.52766314548897,39.936787067403465,44.88513697975933,46.355680373160375,45.58617273699768,44.68663118719154,41.08896867684324,41.59313817097411,39.681504762034635,38.87247936554055,34.93607658195181,36.03503688052105,31.38104801541934,35.61645238484587,34.230503748954824,29.25381386631361,32.73295441691168,31.954007264532283,30.685577581436885,27.63334697637092,30.10804600378416,29.348679616852756,34.11297613657682,37.08424676807109,39.31489067191067,42.318131196656786,41.25212842063272,46.480506639984135,43.73895863101892,45.12731679292548,41.79913330080502,40.21302483435326,42.07219975246356,42.584507462255544,39.241572809333476,40.537999291685104,38.763853937667506,41.65202713291412,37.125638176656004,39.67237251450912,39.767859940638914,39.34426198889285,38.56717415147351,37.48074930989217,38.58621569528168,38.96703175480641,35.50294226911697,38.84278986342756,37.78717818642461,38.843362696202114,42.271138146309525,42.99678755228016,38.978500118993594,38.8296645382505,43.010694456351,40.67766911123518,35.70438094632769,40.25200539300727,44.32065830269947,38.91983869691299,38.87233224362335,42.77337227839049,41.78127512661341,37.86300629171431,40.56446524805104,38.66761920614174,44.591384104380566,40.542022056881216,42.08905492565843,46.164004829587576,49.21643142056512,53.43514037684668,53.90031644512714,55.40686732526135,53.16394057367465,55.30334493889209,52.99175848105381,55.25607689224252,53.810562287792735,48.083014957901405,49.97369649885464,51.525401702198316,47.31988777186986,45.16948249918898,46.897382914440506,45.58054110667415,42.094177035178575,40.33290018623664,40.41324163912401,43.43687093770462,47.12687337075762,48.53094841498778,51.194451517987204,55.06981046335342,52.48753846546446,48.270294967407324,51.61841568960679,52.886939796729656,48.023739152523945,47.14891662159216,50.56455049620676,49.31041867597459,45.927520679685266,50.20588574198317,51.557548044712036,47.74467042564163,48.045377855316296,51.63854170930382,49.517587185986,51.705432284636785,50.06908232715798,52.493238374636434,51.433999745598,45.88368819310412,47.90815624236607,48.70857803394014,45.738592866128315,43.02149300603654,47.629044858036345,45.971082726140665,40.81148505272577,41.70214232154102,45.60907739576862,43.20742466320863,39.340552296198815,35.85288368378008,37.221174573209275,33.48999909279744,37.28201606886904,33.189569850380416,35.17438775970805,33.39904145647502,29.98987997117296,30.075506736617204,30.368491197502703,30.8248633005982,34.71068513047124,32.13374160352127,34.80813678421243,31.868550065605255,34.691720108186814,39.472375592098594,42.509841480589316,42.669900756401056,37.775526542096756,39.59516320673569,42.60858311326371,38.50313628595294,36.23789053570802,40.86745197434829,43.568195554726785,42.855166229403295,43.757988647907055,44.06364419865055],[35.777769098942535,33.56517147325538,32.45143707000149,26.92543880121528,27.301915147729677,30.431180978569728,29.309911069892955,33.363365864456966,31.777797060402154,29.299584814400145,31.658700510124262,35.71915368769017,32.09687909133862,28.945066281528998,33.21967013402548,34.38888021430854,30.064045998592675,31.770104570711798,29.561183936479168,32.50989732580404,32.853011089922845,35.50349210312173,34.07502416069302,31.325177430467797,30.743838759649684,28.164757950710303,28.97460012061139,28.151676163048396,31.917920948752315,34.78277080176365,37.56118890695501,39.59680370359965,43.42758842773182,44.68614968216443,41.888113265860675,38.01615748202161,39.06696242406021,35.51730140890957,33.6665058123824,38.43368712054744,32.63079577233835,33.79369518240713,37.51204169225238,36.740770893498635,35.65423440174042,34.85941878303004,38.017308026880514,39.38452833422052,37.36729685063293,40.74891627219329,44.154785724562004,46.30389721085901,47.53832680485515,43.3504905772349,47.50014216864091,47.617106075751316,43.72761627122334,45.16259888702764,49.301442139531915,48.16335978873052,43.82168984696894,45.57497500038503,45.05400717654979,43.993861907261405,41.25404882515266,39.59188189127361,35.92711071941289,35.71837431512212,31.945881754392424,32.7565938466339,30.29400475854913,31.82579211716257,35.28311899749942,36.52603427278557,38.284733138994696,43.92403690657586,42.43052408985089,46.76931547678829,45.35266746128145,45.2636288342222,45.215060813867176,43.62270106183677,44.19278820718595,42.96567871577054,38.677449110270715,39.24724542992528,39.27211378630344,42.75201152150313,40.3444604289417,45.51100204620205,42.52903338023678,45.18929847783705,43.35107762931279,43.321225260125416,39.446648761574814,40.71002748256381,37.10046241494841,40.76215715951441,39.90561246433109,43.941047313637604,42.412983004251714,43.32799036546174,41.9895073620694,41.71900693461309,42.08496956211377,38.83988552340971,42.11236054810487,39.980435331912254,37.508865480583495,38.719863680916866,34.84656657283135,32.483247523900836,30.566934077594883,27.301643176351977,26.673831625785724,23.291184868635312,24.476587255590267,21.06714805091455,24.06837112253467,26.658803477255432,23.70310076310335,24.047690477583583,20.057434590416833,21.91191352354929,24.399913344396627,24.509585416790188,29.131254967218876,29.369946533874106,31.95541364173057,35.161297582243364,33.52227951084866,37.9348270670592,36.15728910109385,38.415521483326394,32.69667976618474,29.873632317909387,27.284725925387786,23.668075714437816,20.408369823363476,23.473381624840453,19.65824943922162,22.57375013977337,24.099689020214974,24.574465364878318,28.092081414489225,29.795331463938155,27.7144155864447,30.554832875015286,32.470796633823156,32.68222689558322,36.27506115279472,37.663150839904716,42.64088893071919,44.2145714500888,43.210902868916094,42.218189116264064,38.531207505100966,39.15006677762007,37.03094994992288,36.446140622997575,32.45501032304632,33.294565446369425,28.763429281211174,32.94501640267864,31.83061283601223,27.059768298445196,30.776885347346823,30.24215752437154,29.18078900812675,25.890915729846526,28.28705370853788,27.185465699990335,31.817161932503286,34.65458652618926,36.73983261223286,39.755080279125046,38.518864165409305,43.788195988646386,41.07060703619448,42.59246705877714,39.36258880543951,37.92676846945626,39.95300123875784,40.5533069418249,37.136249662621864,38.19791306212139,36.21281491511087,39.271007956089775,34.8700992185937,37.60233802252536,37.94525786267548,37.41100274670477,36.89598811323399,35.88427720343327,37.14512299829639,37.782485477523444,34.321017641567856,37.707385964809454,36.832393480282555,37.60231613373014,41.29790751986569,41.802830603574364,37.74618866002819,38.004504212014986,42.175889468529085,39.690604805706144,35.022597687930904,39.71319954661344,43.56239563210321,38.20560876909818,38.45205039668141,42.365465197965875,41.14873759264247,37.44841635579225,40.45551531724143,38.62003375541436,44.541179116932206,40.78902811582216,42.01596273773618,46.076040281870476,49.172891702619424,53.45854414228298,53.865940370762985,55.09364044132447,52.70267930307781,54.680518247052824,52.13060413862693,54.50432436258076,53.31411032325919,47.450105507961,49.159064703263525,50.974372446904944,46.89247059448941,44.50775156364291,46.16012191481017,45.240357091027484,41.77574451474176,39.5877846190727,39.68434487859591,42.27964099929944,46.04060772223208,47.49624554926992,49.93603263575554,53.84615475592154,51.033308103080145,46.96833033971731,50.49095275681228,51.536283735628864,46.6147190809885,46.0315955324669,49.43004241935228,48.096626372600184,44.90112666732551,49.33682320861455,50.625701678011175,46.83264481856618,47.39169865119214,51.03884374614453,48.98424839175571,51.062320272575754,49.25362132588448,51.81704929679152,50.9950634876046,45.34873378959773,47.30320088666289,48.39735592577094,45.49456308168442,42.602913391479994,47.377534624714514,46.03024250962827,40.758652766529465,41.49237251427812,45.665110153909225,43.51627086612379,39.586441578579766,36.0390557930671,37.82404854371947,34.131573056696375,37.81179864274186,33.48494100889425,35.073859284760545,33.039807667094166,29.994719319100525,29.975931137257948,30.517964666021427,30.64742821204578,34.282438219442874,31.251503156360684,33.66688108949292,30.453339209598997,33.442603373746394,37.971912509537404,41.14158276357254,41.02237526651797,36.23615182467373,38.393531783767195,41.24580307293552,36.86847780228916,35.01171466171249,39.80723868748982,42.301080855570156,41.40406139797374,42.15369132598747,42.32773788738424],[33.834971261006714,31.324508654940196,29.75200168887019,24.53325172245355,24.431419255924478,28.323884586355312,27.359193114548432,31.533643241852154,30.556193588482497,28.32353360540197,31.07372550313363,34.90472219025076,31.115407623340694,28.50858366628051,32.959877954227665,33.795405359951616,29.396797537513578,31.451707747953396,29.583118868093262,32.04389911366751,32.72790867142914,35.1007656284811,34.02278551348638,31.197472228024598,30.190315964884952,27.801388013182365,28.05192784575901,27.207515676137497,31.06702362245806,33.74319739264566,37.272716832446335,38.7034121174843,42.77799246941118,44.20508307700901,41.0972562732782,37.2879111350755,37.83441124021855,34.31954947128622,32.19561651285569,36.68388109636761,31.05560237299024,32.82767125523968,36.52185281616537,35.41068897348542,34.31698779181211,33.0684458736998,36.354140389601554,37.89788077580429,35.44197058169863,38.6129619873446,42.30247012939667,44.25419560017767,45.799154551882935,41.56265924690785,45.86055341709535,46.22104896070993,42.53036719310432,43.98230489520199,48.21873055025965,47.196386791574454,43.10782657145882,45.19815152151895,44.76365440948579,44.06334312916689,41.022512951265966,39.1864558376514,36.09431558496977,35.748602615371375,32.43427073960296,33.2115875261063,31.06206509962646,33.06445437023102,36.12704982244047,37.29494778207964,38.57734774196036,44.2847936835527,42.31011724837341,46.57024493405154,44.80118961771543,44.44292007493663,44.01446671128536,42.06493929294586,42.36291199087154,40.81757778734483,36.63984277096035,37.53977930809832,38.03298573127014,41.51509189848825,39.641670024244355,44.966351849795544,42.33435440121502,45.38039160027986,43.49686144033778,43.24911492678556,39.264141220346566,40.81417062160982,37.09505249540234,40.21907590158428,39.07116129827448,42.80673544179858,41.14581438170925,41.51792894041487,40.1911488087216,39.436245467229874,39.40073233353678,36.02956514470507,39.027133541762026,36.62408691645995,34.168309929775816,35.70511723323404,31.97647856775909,29.83432954616131,28.38171882407932,25.10162358642308,25.227131505813173,21.796501942110247,23.44704637808847,20.08006356644559,23.966260200532886,26.42195835030045,23.616363016234896,23.62553348243199,19.220831225420767,20.59012219643541,22.759558929799873,22.0464688905701,26.462462548778714,26.426572071626186,28.73246537132037,31.94456334493551,29.869911069014208,34.24746377329041,32.492775694698,35.06219058813899,29.251468218960117,26.71883625560094,23.714736761551563,20.483496332547563,17.553484362630886,20.933834399843622,17.493296186432854,20.91988850029185,22.774594203918756,22.829560539870467,26.368284881150498,28.280210317559366,25.99642610685594,28.817292814095687,30.40570505670072,30.845213181753156,34.14539775830698,35.97739637657359,40.77186636069098,42.702587675812346,41.943688412781455,40.706771299746826,37.0628961529111,37.2235152776873,35.34420362606943,34.12913418119461,30.032528374790616,31.360826291451325,26.506517101945974,30.79860066287591,29.18009308643719,24.165048476963516,27.521361571733816,26.872239347828703,25.47876409496113,22.367347065907758,24.800620967635236,24.122874189180017,28.947325606988777,32.008075576584325,34.384238158425724,37.432076035979186,36.65020151307548,41.75158392853492,38.89616475690181,40.143806656420466,36.71899170697054,35.079220543357295,36.814806737065595,37.31942516151045,34.00430902853035,35.496069098046114,33.92593411530001,36.82197529487243,32.40284691804948,34.71998455943013,34.78390917537866,34.200434163787065,33.35056722157481,32.19905484881794,33.310344851538446,33.763660973379416,30.320380179013295,33.72501461642621,32.86589887439478,33.9027952125906,37.503803037054325,38.27838021280899,34.289537823248715,34.329302047481946,38.59890085163419,36.401297839530784,31.610744226036815,36.23642172542399,40.32892799100771,35.20456630806259,35.35213400098843,39.32262587501602,38.416562430735475,34.7721604031331,37.6237852526351,35.539289727721496,41.44054921219408,37.314457642431165,38.48147279510972,42.59781436255926,45.4556253868712,49.85755506687288,50.04084430598471,51.27316612718983,48.818811567325476,50.76449757534232,48.277628794095065,50.489601191287875,49.25873444761528,43.462672250675304,45.14141101384036,46.80087979224011,42.72490177052612,40.385721505771244,41.98705263231525,40.95782365700882,37.54094356884485,35.39933816351915,35.630874237997624,38.39252421132432,42.13169832461551,43.70936171882983,46.28606447174513,50.2854165809708,47.63541310237371,43.4522531909181,47.03949046752186,48.30936985883776,43.44473897114726,42.74147732688983,46.33670896341957,45.20211390704802,41.90743310268621,46.2115517828493,47.73384606853726,44.140607991483215,44.424538069432366,47.962321959086694,45.72360016509603,47.64670469548702,45.7546099956381,48.135386501905074,47.398642804114125,41.792517016207434,43.530493149603586,44.57027104264894,41.75112021862978,38.72256772961853,43.351325849538995,42.0732501962619,36.838244109740685,37.388399374729296,41.52498693587418,39.46804426866293,35.5670316424041,32.180333310336195,33.93572775657388,30.439338797326243,34.302719095301136,30.09855141053637,31.625936842688855,29.938145978731647,26.822306395699293,26.465407689235732,26.752970993676826,26.723508801143776,30.42706256998363,27.620997975208855,29.994487359937754,27.133765875305038,30.318767671864187,34.93874364758084,38.11888260234002,38.362963383889294,33.5259673625111,35.61025877456575,38.744957783043134,34.64946275742515,32.66216751821858,37.41173885343826,40.168578800477995,39.46425286377557,40.39473151255015,40.61328498524863],[38.1092214394821,35.62029430145699,34.11692953059747,29.067287331523275,29.05696341330561,33.22242153664593,32.37741598637937,36.57442733505692,35.63327426639847,33.3552951317365,36.04311228610136,39.90908537331947,36.01864380393613,33.369361912892444,37.68535935880444,38.49991596219763,33.98764221775667,35.721494630881395,33.37263976177719,35.79142238950432,36.020203484893486,38.12987541934768,36.679446956198696,33.58828970928175,33.066733465807616,31.09748038731561,31.7187468413015,31.33967886859521,35.377400443290355,38.2922965336366,41.70731581995446,43.34984888151012,47.39766664219415,48.582214250456154,45.45543810133185,41.50519852295471,42.22166493681911,38.31704538312256,36.01936098650373,40.114261198050386,34.315070542797734,36.151097440783325,39.548597564363305,38.30132112039545,36.754411563014585,35.45277164995313,38.384882663477626,40.35174637951606,38.25043804204362,40.9533617437199,44.81369199563954,46.930791514923904,48.583515741599136,44.71101826057476,49.034655865660035,49.1157771614349,45.499883469937544,47.300664984878175,51.38986279967614,49.96641398659602,46.05488782625863,48.33957634140019,48.20453887660795,47.080704875861,44.00838283745347,42.56612582800661,39.45440720416366,39.54558782891627,36.16832323345878,37.30287273601277,34.99672135559042,36.754152207539015,39.99098362369231,40.843847901035765,42.49055889679687,47.9843973358543,46.01400376700564,50.41447825493216,48.618697776094464,48.0613688642505,47.90100534017472,45.78724784820242,46.403602835741964,44.569552149197385,40.37905011403279,41.566842484355895,41.862237119163936,45.64041163321706,43.57959567655933,49.0837752268578,46.433531565371176,49.38710641445437,47.719911983203545,47.69571716663466,43.8513197075769,45.41687428580305,41.8045448629694,45.01270679968303,43.986532233168255,47.80945318380563,45.98422982035586,46.3993949449545,44.873539055177325,44.137342111528746,43.77126517160035,40.526100454816294,43.374498548675334,40.75361901033512,38.443248735405014,40.22879291772443,36.6461140172216,34.54184562134224,33.3152164467351,29.941489956401767,30.109049641253065,26.570766095575177,27.953468604471908,24.267873963173304,27.738242839804172,30.6571159508833,27.98478143038129,28.3141686806678,24.02237068264609,25.567844070337976,27.81410173215737,26.907827789058462,31.27074251941064,31.037354687302763,33.11862501930215,36.15488835876463,33.72858330041243,37.956793877334434,35.9675306088301,38.875910899258734,32.987459103132494,30.844527445232366,27.717305615579832,24.68241208959912,21.876877437177757,25.1404405788166,21.173122798646162,24.02648175949402,26.415108261003038,26.855259737044413,30.241593163874978,32.55829585283058,30.45705722113468,33.50745783091845,35.16533541380357,35.80125498785284,39.080624173168104,41.02270058268347,45.77901892084529,47.764906703506945,47.00934646513742,45.72089208740652,42.04020972196949,42.13244319196163,40.16021959348765,38.80884161494785,34.470561307355105,35.672944104657056,30.55243277453895,34.63041341912156,32.67543765317557,27.294125615969865,30.531770551793137,29.232931248670265,28.0673789099285,25.39525637654667,28.153534119825085,27.879557782114052,32.751666899395055,35.96939013189343,38.5259310667486,41.764082635737104,41.1361746892596,46.12331125512329,42.987064915012716,44.22747421078096,40.472073029389634,39.20406329079412,40.46270406562504,40.615614984775156,37.353967061364294,38.661712512837425,37.17411589442088,39.58337975407575,34.79912612868683,37.174930557500176,36.96835780630002,36.89652904615933,35.984215336754914,35.092006290073705,36.235055363647305,36.61272344048866,33.51201220985576,37.04794350153865,36.319560893165004,37.800897120438634,41.214255051508765,42.35674086645995,38.46373635285172,38.129513033607,42.47136858891525,40.58125639561706,35.53109534041667,39.97764826784741,44.37313809959966,39.33512280842634,39.185896033051854,43.155743212189265,42.55455707354288,38.73180612442856,41.223252146433325,38.9910578493828,44.87304918120676,40.20122547572246,41.714532209167594,45.87315750379448,48.48986905138949,52.8866326043579,52.94241351843341,54.46674071213718,52.07738544439878,54.08552468871551,51.813406482453026,53.7066577369722,52.28400483117865,46.71125133465824,48.39022617892423,49.59559433152684,45.499018544116154,43.3874075373451,44.793945014459865,43.31685403341534,40.09078309198731,38.20626332982426,38.84535787976228,41.933090827990846,45.622033442055034,47.40909660345684,50.18361328324632,54.27388549891465,51.82863671022434,47.531331520474374,51.12615464385816,52.64148561983902,47.847898249326335,46.96385065800631,50.67361833614165,49.67694853112953,46.2431110731555,50.37262730477472,52.03523583048042,48.49966644632045,48.493034311859056,51.93424561706736,49.556154163539404,51.47333541393849,49.65018229862417,51.77382139315479,50.92646208459317,45.452039517389025,47.04433398034926,47.779246519879315,44.98851784032772,41.992498204329884,46.255418164765516,44.73802175080329,39.70351932558974,40.151748161969444,43.90377834947041,41.6708575548037,37.91756668086556,34.83505098901582,35.90617911973329,32.58172226377855,36.77221028851784,32.995420735147654,34.9705434726269,33.72910606312256,30.20007259147716,29.78961704217783,29.573502212157454,29.77229009701083,33.77796887916554,31.543196441255464,33.95356574387494,31.512786434258672,34.75437070443503,39.48335954510844,42.619691017604254,43.110289945897364,38.24107414375827,40.14681596334656,43.44057687056232,39.530746601659935,37.326020702479966,41.952287934534205,44.87334309256781,44.28769270672523,45.296469836271335,45.555770339170444],[40.10514400765617,37.62715573873912,36.006281174241764,30.793204069428302,30.440685345037124,34.26862313986452,32.9703734063415,36.94279419329181,35.765945411152785,33.03628620138623,35.48690460256786,39.425006664120005,35.27260022794456,32.50949095083085,36.49640076672673,37.28731985950524,32.65524867196959,33.934523024745744,31.124005646972325,33.61690997233284,33.46926474273671,35.53581024586708,33.816849887910706,30.68030691565634,30.496425593544245,28.656862072211624,29.696242958708726,29.649734027061672,33.7814888109822,37.00105390714326,40.057735864078786,42.10490723629241,46.030412977722044,46.876114068641215,43.836834590571854,39.748231945478004,40.83253802521864,36.60453441463286,34.35265853776544,38.407133616455376,32.43090262322791,33.94290360267467,37.216246671118746,36.11687853652934,34.446326100064844,33.44642988418252,36.22311215582076,38.14423571760201,36.446880725328256,39.209103633085206,42.880995182202156,45.19600327029994,46.63546707509547,42.9179709533698,47.14476666742265,46.959001827981076,43.2560528132377,45.18047464461138,49.142900735846716,47.51085804724111,43.53580262816422,45.75164424797954,45.73443575728537,44.29348960215513,41.309979503646495,40.12200031162066,36.84812846875479,37.255814382319336,33.80118172580543,35.26263963914917,32.84371168603358,34.42939075883624,37.73071032461567,38.2930402213549,40.243215711948615,45.53337472047432,43.66101037029827,48.16358606651231,46.46538764289894,45.89815178309402,46.08633605492826,44.08853952692985,45.08975569141791,43.31885803916464,39.03950789347198,40.1652186502845,40.04745364239229,44.01956906689625,41.58367652975573,47.151148422879906,44.40045489899743,47.19894531931455,45.756825998505846,46.009276212294694,42.385793650317694,43.99028417715187,40.5939693171975,43.91595063877474,43.19875612847326,47.34160684054559,45.182965150479305,46.04836478420309,44.16283824436985,43.90602025335244,43.542676129655675,40.63711931447565,43.74445485806534,41.3128812182315,39.27568357132929,40.82688178976424,37.35468294552493,34.78200379308124,33.494782008692724,29.844934185688867,29.52669896995323,25.847705135569168,26.68031631163215,22.711505466737627,25.559116442535498,28.86596668900041,26.36348489925303,27.156157644345658,23.161448018746334,25.1828692647614,27.8899754584495,27.19068951729402,32.073828087312776,31.57660005548167,33.797144435179014,36.50402565360981,34.54815097024649,38.70273244427647,36.410842566864275,39.03528602269361,33.210030329228516,30.942123269950336,28.426655077472088,24.85141175541745,21.743111750118537,24.560433509062417,19.970663842959482,22.19535648532203,24.614780738594778,25.528681464509123,28.78396455716569,31.25690874038851,29.454890110117592,32.77642981012471,34.79242519689383,35.64997043441325,39.22812766656502,41.1419983601823,45.941398459766766,48.053514305922164,46.92179425241904,45.5034425292336,41.66819910997579,41.95198350809715,39.57997409724851,38.567319714259675,34.0050311733617,34.6649816787243,29.59621556993811,33.43904050748401,31.76070666402573,26.487963937068788,30.10703396792401,28.81642552929911,28.185243194279067,25.347324049057615,28.183422256581796,27.548376221275593,32.23152431659473,35.3134260728825,37.72090513872974,41.097271713224906,40.241582289719666,45.24086742706009,41.98057184146054,43.4676778994555,39.679062932653366,38.91007904549417,40.18391493198453,40.27520089089857,36.90280222207697,37.65068835506388,35.81015265893523,38.2017823292338,33.36407559269584,36.16292718158616,36.24021875151952,36.32149600530837,35.85254492633723,35.26054481708685,36.701383647513545,37.47557042384142,34.56053020659453,38.246458401045764,37.858625262639094,39.10677966769894,42.84214800727497,43.8094916488414,39.890558237431,39.99187768708636,44.349063019055826,42.34155565777227,37.60201669792525,42.18655501212739,46.38709162987445,41.3981107275924,41.52867642091069,45.513379725304354,44.68952133913456,41.05665773129626,43.827742213556455,41.65640420406833,47.543105939571255,43.09255413353675,44.343629382254434,48.4982009696975,51.11280458965937,55.58199633050341,55.53922570842869,56.8131216103053,54.25324516951053,56.06688670367816,53.542772067644584,55.45975266186266,54.3200981664416,48.64377774645489,50.060752357422054,51.447821185154666,47.519637200437366,45.167690199770554,46.366735125153156,45.27015658368427,42.166358349631224,39.76118254046277,40.61781152044843,43.211687339660095,46.99098028121995,48.95011966194627,51.478641171496456,55.66022345811695,52.95240403044728,48.83267965786765,52.68325626032752,53.965492368576164,49.108008400611475,48.571765612293746,52.28704084688123,51.211511417437656,47.98535291203379,52.27942981982357,53.883076217784435,50.361328804268254,50.622187720388155,54.11714964238366,51.795112930495165,53.58757946961236,51.56631961804456,53.795690062976895,53.214536258362266,47.65292420184183,49.11531639931028,50.130096681937644,47.42860267082662,44.22101059999021,48.57545132169106,47.37049714588181,42.26013516167195,42.47036171186974,46.42671930869475,44.45045207054187,40.67091312904579,37.608019975537616,38.9536590212112,35.71067051451971,39.859805059351544,35.920881318218804,37.579592753939764,36.11883615425128,32.892846741496626,32.38636807685632,32.339863164235645,32.219298040304764,36.00976044890415,33.35517361760203,35.42353954501361,32.73563668905802,36.22767317853811,40.64962874327597,43.9585626560567,44.11917755177164,39.388869008087376,41.696487312775524,44.80277348078766,40.55527604625507,38.8273954444181,43.63636602348821,46.31124049128185,45.49616830027096,46.30069210233684,46.389283217610284],[37.802223812139054,35.14589200857369,33.094906455017814,27.99539413701796,26.963751417180845,30.858354962594326,29.24868870453227,33.05808962801214,32.12767961490509,29.247811133314503,31.807527681599577,35.59288276950447,31.173799205157536,28.764197118527093,32.67708604765248,33.20505939756196,28.487119283294856,29.851511323350255,27.220210209879138,29.419154662516963,29.53446083586038,31.52334646797667,30.12042250905571,27.049873518451772,26.446429800987396,24.581194722890604,25.281368901309488,25.220171035584283,29.412145206566986,32.59848319193392,36.01690294247072,37.79441195625145,41.825280698637044,42.68283174865731,39.479600877530565,35.40891607004979,36.29317258140056,32.05355685352669,29.71673320237982,33.76413710874994,27.862634195161373,29.578832235603176,32.939556358838274,31.75967684999189,30.265866597535446,29.15461379895682,32.16341193224613,33.932030034714735,31.958074783839592,34.90086272797974,38.56678645084605,40.77652208909673,42.24156256029645,38.36418236898643,42.630718370585754,42.61141699777988,38.94098633986385,40.7599623931715,44.80885794565195,43.363513832871575,39.41714137023439,41.73497156067337,41.68344084292724,40.55852454190215,37.41038505610077,36.01931305108329,33.07818746929589,33.34558130497543,30.218221189991652,31.68889015930274,29.51401369810357,31.4873469460387,34.434784832314364,34.921809802739624,36.50663208926524,41.843245408433965,39.66157974554444,44.1027281960374,42.21492670010914,41.54929511308736,41.54190329860202,39.44615243045155,40.34758793288463,38.54224552753908,34.27948300414483,35.451114919283576,35.49215251572211,39.44970432845749,37.249202946653774,42.89160012474673,40.34316783507934,43.3854926935362,41.942080208308596,42.10305352793992,38.48134549872862,40.32452435564029,36.952683569945044,39.904990445301955,39.14442784445159,43.25297111744584,40.8260048446999,41.61181002467779,39.560353978828324,39.310453089377475,38.81996163639177,36.04300161977122,39.21426898635944,36.85825582647154,35.00250809161156,36.46772916294673,33.15751955929086,30.356526042875362,29.2712033090062,25.450758250172743,25.258400216852912,21.497997913236148,22.33190015804986,18.309467907122663,21.59102916466747,24.852178286781065,22.529820019582928,23.283780280304804,19.20609180547101,21.190767486566063,24.003808625107975,22.97478765022905,28.11474235490028,27.27331413428439,29.481628669577546,31.969731412425574,30.27405477122196,34.38108631831964,31.987227962788328,34.427355751809415,28.651664021441288,26.31934298530088,24.126926980999272,20.302496910940608,17.145306431347105,19.802768987340013,15.180216051987472,17.60080735246649,20.03589478179186,20.814864566326435,24.06882003132624,26.62300287438626,24.82078575572807,28.23290372689705,30.25802908313436,31.373136180217454,34.965189160132866,37.11790284810575,41.80541096403429,44.24272061025296,43.001025079172344,41.33028763635727,37.439508140735995,37.567521433242234,35.109709841273165,33.97128041477361,29.283974520310906,29.93009497375137,24.79518982306171,28.64853302813524,26.984737080408227,21.797358071358392,25.529047403314728,24.512091272580065,23.94684957379653,20.88177098072703,23.642424714872515,22.81649607386273,27.450172403724547,30.505428337936436,32.91661106733362,36.323447188921286,35.55095033394119,40.49105330511077,37.181820324987854,38.656769696706185,34.87538355697673,34.1529153121703,35.46866645805044,35.62943790519794,32.218016927637855,32.95677486500288,31.109144615045984,33.65711432044389,28.96236481783378,31.738207658712724,31.975695746189636,31.842839134577545,31.50200934266983,30.90486265272187,32.451990559481615,33.44575260353847,30.54320958432367,34.273346366718066,34.118538518426206,35.14512250245314,39.13087565147071,39.96674571456491,36.06961582504358,36.54605862475533,40.906626657874114,38.888519773949525,34.49798309958968,39.17018895903246,43.20226718433518,38.43694763160498,38.858779735372856,42.850765777867686,41.93868318211302,38.62541633192692,41.64163095999107,39.43394537101982,45.25569667183967,41.01158482022749,41.83702302327947,45.969812529189504,48.50786612923178,53.09055318082797,52.87286223525109,53.80432344262353,51.04966093093487,52.64818437325582,49.88068423115316,51.85182427134956,51.00340397169788,45.216527588352605,46.39824374084915,48.03784523548261,44.276430334724424,41.66972512442024,42.760785275905995,42.11578110276649,39.065471749806456,36.17039511232589,37.09321410269109,39.230396818189305,43.06747669671977,45.13353344269421,47.45373175239013,51.70365880918365,48.81984693629483,44.83568019008266,48.906625257612305,50.038858692530376,45.16874309079352,44.91535507171102,48.69428080931887,47.641797482406204,44.60226184270813,48.980958619124124,50.62733891023798,47.26091469323788,47.67151991953941,51.14977808829658,48.82390744272111,50.39619982545626,48.139527038254094,50.43172208409359,50.178038306410336,44.55593303958486,45.81796571312289,47.15506334869869,44.59138677956805,41.13003422073738,45.594904599318006,44.809529132238985,39.613564273317365,39.548791598378415,43.79710899767978,42.18667615706191,38.368064277894774,35.32873578422794,37.17027892819034,34.09150163224116,38.13863720895376,34.01709737513778,35.15171554954283,33.58466320581516,30.79674755460266,30.00208575987029,30.129478791602608,29.53226986382863,32.99638966809083,29.941022022410944,31.635040061158755,28.846858217596534,32.618934534819424,36.73972617173021,40.1857959073075,40.22134033770242,35.6361112848777,38.27911023957165,41.32907412886724,36.97095120365936,35.66444052867586,40.58712318543105,43.14956509162295,42.24039187769087,42.97180964500546,42.93124217169112],[38.615387756091486,35.805375652016465,33.602105093294426,28.896464594009935,27.84827703997869,32.52724544786686,31.359393654619485,35.363396226865525,34.92431105901139,32.441095337687415,35.28818664100638,38.916096348592205,34.54069751943659,32.46402538614626,36.55830717832191,36.9173106918215,32.21198838135941,33.81329683064808,31.360771490968713,33.19849741298679,33.40804753621821,35.0512400681744,33.75782965091896,30.527419508143883,29.848805785465863,28.352893033847344,28.732868957757635,28.77551049082477,33.010567555980266,36.02908238904898,39.954801430096985,41.294269961445394,45.483976166144394,46.4646678687524,43.05176821732262,39.039098974402584,39.53023788172518,35.28129040327635,32.666058634852554,36.22686739445676,30.49577675085216,32.793675025031376,35.94731443237888,34.3892392938346,32.64215294001414,31.034327315085104,33.89992161949998,36.1168998952181,33.918805804013616,36.29623869415582,40.35467301021864,42.435160452150704,44.289667072437766,40.59614601471377,44.991466961071445,45.071707309390554,41.66201886178173,43.65708803310299,47.69812420808647,46.16192842232071,42.56728436797895,45.23850670913451,45.38194145281189,44.35458414983546,40.99372304415637,39.649846479015125,37.138857110394895,37.439044962028106,34.58323133620794,36.05295296041263,34.014409799649194,36.13448427712454,38.94899646246355,39.36578310819899,40.75650981190539,46.063435236393076,43.58612820781952,47.98574363935014,45.84096776338731,44.892998058298176,44.65146565265331,42.17710321274837,42.911649075341614,40.680915805942746,36.56922149123164,38.175136107723574,38.59623063200665,42.610687476597796,40.82552450200444,46.59451804763221,44.30252425423898,47.55720624404991,46.11078289965095,46.14028085789141,42.44286696883172,44.405752727801165,40.93397783238537,43.58250885975343,42.56583435105834,46.360311478934484,43.96290586747306,44.202652760681495,42.246780336615515,41.447714428385304,40.48318756660076,37.54187806567599,40.27089547739206,37.49406987112171,35.61332837018513,37.58065571046053,34.41776121362654,32.06919314817649,31.451811260129674,27.771818052862827,28.32983881643788,24.627090156369974,25.877182232638273,21.9600326446144,25.725803952790955,28.90706643052701,26.664437080298384,27.140444334832353,22.804715865812252,24.306519268391405,26.666376789704227,24.951699309465827,29.567797774707863,28.59173974370303,30.368097091717264,32.90087772819732,30.411580940041038,34.402160339328084,32.02150789453738,35.06737684849589,29.17762374369778,27.42617162454839,24.535876379756086,21.485533453171566,18.89321357943699,21.892927224935903,17.679774827953423,20.296801668467378,23.229975164604,23.712801178057536,26.875697463150583,29.692264656606923,27.743036738494595,31.07794962718178,32.719624994484185,33.94793132901656,37.156040917726905,39.63378495699177,44.14702271266529,46.73562974116424,45.85398779643405,44.100193613123864,40.32181621695783,40.03416734988725,37.90534736036118,36.11819432754703,31.378622737567017,32.55018592785813,27.075714925052978,30.92118732830366,28.537613350780337,22.913479978147727,26.018724274464017,24.395447307380742,23.477048716334856,21.02686923564512,23.999738408903095,24.00818868875416,28.85366156410799,32.2144977652421,35.00227268674096,38.45285005862323,38.201837006002,42.91323952309398,39.42057575476766,40.5651184400778,36.46770539041544,35.60827846693083,36.364571043312566,36.22966284191627,33.01316903943666,34.21207793751761,32.92447159243963,34.975523620176965,30.058176548363193,32.32647905031541,31.99450672533902,32.14752298987973,31.27960797457477,30.62730058954688,31.9297991513035,32.52879292457854,29.815199103775313,33.57130434663894,33.35546279565924,34.999802346185824,38.61196299851093,39.971376200106754,36.212251742517275,36.06082471343098,40.516013834465056,38.959133856184025,34.170915171204356,38.59618013961248,43.075015690731995,38.50068053845575,38.522788602881576,42.53177717238335,42.12473059105146,38.64150892242186,41.18288250426013,38.70017642553633,44.478027642440715,39.53669116805942,40.67326566240146,44.863925622403286,47.07539663888555,51.68930731664746,51.28182458980651,52.533640567239495,49.86565379120455,51.577149488356355,49.12740975224871,50.75058157873687,49.6052095632912,44.07844015084648,45.36358788663287,46.482631926301565,42.634298691830004,40.338532807408114,41.34818339061613,40.1211501469098,37.19227684759969,34.760329203980376,35.97542097000291,38.70081657609576,42.43252973813783,44.64135937921984,47.31063010365705,51.628571631606974,49.13292728701529,44.91048591117523,48.88768412805918,50.449229290237305,45.708963309151365,45.07581269108621,49.044255132849905,48.25019048724377,44.95565184249466,49.04178368480026,50.95340139257245,47.74530765931347,47.6591104635252,50.971835982623105,48.413264002705176,49.94123024459811,47.77995573427381,49.720281363408816,49.31811759003636,43.86482459650567,44.94376997650504,45.897740862645755,43.37273981773157,39.947456479558255,44.00516405733517,42.960180753426144,37.973510531032154,37.81468066032708,41.6678588882262,39.89019338480575,36.21373746816908,33.501706978816344,34.72714933309007,31.88665191927141,36.282936169309586,32.61901862547935,34.1507810429625,33.214700334109196,29.978891161721858,28.97437199565229,28.507233963677784,28.099103058743765,31.908287650505134,29.622713365826247,31.48192640455758,29.365699880436583,33.14162884015606,37.541161377161856,40.85754729476513,41.459924758244355,36.76201013930784,39.01379773941389,42.42851168725617,38.554373409790756,36.769699954589406,41.4744149231819,44.421898900014774,43.82693395713776,44.82193691387011,44.929370470392236],[41.658761426879444,38.931419447941074,36.92837275868648,32.22914620689033,31.48669479165731,36.18801307702014,35.157118004227314,39.221805321650365,38.67537640521883,36.20204477344885,38.97403623903266,42.6859147070459,38.35868660446871,36.11326218296798,40.17620774841659,40.629516376297076,35.906145166287686,37.32946142843303,34.60338268291532,36.53989041937377,36.44834337361044,38.005624009024935,36.42926975470525,33.07757460995327,32.78010970730549,31.471957090590788,32.15319922779401,32.39201570483145,36.6684616608635,39.80656312474248,43.52555493147573,45.074486218184155,49.206705720721516,50.06746675605845,46.71514297653937,42.63466667471317,43.293033774329196,38.88488936159369,36.24981054903217,39.643581685402374,33.8316592824541,36.03519066920915,39.01247314225991,37.448589076323735,35.4440825621091,33.89243144880547,36.47855532715844,38.921532902749796,37.026235368972465,39.118133082726985,43.21622408450881,45.40969336332184,47.28174202072997,43.83734276233307,48.20194516843608,48.07997397317266,44.69917691567025,46.88472330827677,50.81088492636842,49.020928265801025,45.50250631516503,48.211491303783596,48.502985627320385,47.163231321533495,43.861684805757726,42.77760213896916,40.1330556026134,40.677501443556004,37.67509868586984,39.29448514595724,37.10079506994795,38.97919239121644,41.98971511055778,42.292525248075904,43.97681426383739,49.16362662290343,46.808762077551464,51.28952272454258,49.21060039511744,48.2166091709784,48.18196633271072,45.69056964308927,46.617520460524965,44.29517670015405,40.182054629226954,41.87119725419585,42.12131189585797,46.263591649373765,44.29259078950534,50.10337397657072,47.72505384801016,50.84368436234905,49.49804634601933,49.665267740655786,46.03227485996326,47.915736564573365,44.48261929319288,47.31319986303298,46.37651073022187,50.239740446194965,47.862439417093256,48.1797187961048,46.19126742767542,45.431523130290074,44.39622172366251,41.484305047430006,44.141377875354884,41.277243382700384,39.404168635391684,41.47155856001108,38.3110407440861,36.0414225121802,35.40539538152326,31.74999448640135,32.21855911786685,28.502622222389096,29.618831701249142,25.599134646990933,28.99868832364365,32.38216871247131,30.121739086906828,30.751154704847345,26.4952286183303,28.11388648787998,30.498213448179836,28.89956686968617,33.4226317512838,32.52024404318368,34.233421443707236,36.75627033356525,34.086585760299776,38.00349338374469,35.57181559808899,38.77733432572528,32.89158451996602,31.30547705376505,28.32328785753067,25.41635692255305,22.86002290160106,25.8232547308348,21.42612996581189,23.673384717544273,26.75215893143134,27.465159130290957,30.552346793921238,33.47623222283375,31.618770313290597,35.01008814167029,36.700589600436096,37.90254578471195,41.11942763203328,43.5352187230724,48.08458994637379,50.573397948190866,49.71383593481196,48.03090283451768,44.24943455263695,44.01344259379083,41.85793855529491,40.10316722331561,35.326830186093325,36.40765633394312,30.899045156180087,34.62163829136046,32.15286720238081,26.438622530470987,29.447547160247147,27.47887486314272,26.695249912535683,24.540944188711464,27.615621556596015,27.80370692790778,32.61914409485551,36.01115186012085,38.83694433604304,42.344871549849515,42.099875630138946,46.784140616979684,43.20146570155843,44.36341381709639,40.1489664283037,39.45695837219182,40.010176500219195,39.70153867511779,36.53909878690019,37.61160771315727,36.33873649995423,38.11006678326211,33.01642063732481,35.333531352150146,34.845713512970065,35.319180459442045,34.41952241874718,33.911226113831596,35.190121454478266,35.69047554992178,33.15663040467192,36.91585297604276,36.67915070686381,38.55726050841735,41.99090111123962,43.53015253025445,39.81410270134045,39.39444221621749,43.854139933985294,42.4193923627839,37.42932071280387,41.736842800063165,46.37448561554234,41.75952234863094,41.56584538519951,45.55938420891907,45.29638510331651,41.63516317215897,43.94608390513482,41.43013547124246,47.20538181393978,41.9870444756375,43.41699280056129,47.615543206500256,49.744278866726674,54.29943559556392,53.89779014082941,55.392550129615636,52.82933538121098,54.633870578839115,52.36827100129983,53.82477090954527,52.503174413209344,47.13967838640668,48.4959998577629,49.319926901151504,45.43088166096437,43.33742828072494,44.28469766195552,42.71181713880804,39.87750973169581,37.7471934921347,39.106586202863106,42.100336156055036,45.76995991924881,48.021860650080605,50.83002841172049,55.1494920547105,52.80040814980849,48.50242203403029,52.39693109790921,54.09976913997294,49.401617131026356,48.60574721882135,52.58490711546424,51.83414211878807,48.428785801368754,52.411701441763995,54.35681833010887,51.11721852006466,50.869872776160875,54.14518271385894,51.539511702537574,53.14009096492531,51.09559057354636,52.902508411619195,52.341358907463615,46.982213739266086,48.0689359760988,48.77705803091843,46.22656237298689,42.923248960716755,46.76252656512934,45.47140271866014,40.63238924974876,40.529011221926304,44.080491899735435,42.10655107972741,38.538163771597794,35.96994472068759,36.70608633989758,33.9054377064156,38.44386729444784,35.04683128427921,36.9417404983328,36.21022508358105,32.6753802578598,31.776632638709366,31.061061001586918,30.930724242438785,34.94170153364886,33.02772214226468,35.02481398354551,33.09023892459858,36.76384086880834,41.29217690395066,44.537714193099426,45.260062436378135,40.508707662105955,42.57837229426041,46.05795798913333,42.279887974449466,40.2750733286483,44.895091421794405,47.93224651924605,47.40604346207425,48.44885247931488,48.609718079155755],[39.29385051811434,36.52899738670351,34.55213144670338,30.092962989884043,29.541719722437186,34.56333515593568,33.919660429175785,38.13775445931882,37.86082222768015,35.79893746660504,38.78615422074812,42.388704607455026,38.29053808342789,36.21000595930439,40.542422010124675,40.98434147351343,36.38782464562239,38.239517070100504,35.98373170475454,37.832915241361825,38.14247334624702,39.764936689239384,38.49574063793768,35.22902149117125,34.54748187602773,33.07147997100816,33.32026470358049,33.21795666007308,37.38000307512133,40.207787609027434,44.285028841252704,45.41646769165106,49.66206295803451,50.848474595932736,47.40825894510618,43.47915968856268,43.76429787728278,39.69990119777511,37.04160122381775,40.49312854767826,34.89666732812998,37.39431841435285,40.517544159168644,38.834984580490925,37.021841157324175,35.194678644567354,37.984052280954295,40.39240653369212,38.057231668315566,40.15303854471926,44.39842381399595,46.368574401648544,48.42886011680719,44.79159912364153,49.23761995251046,49.41042607078016,46.114226141396344,48.13176273272695,52.18887771149144,50.658725723372,47.184641322610645,49.93565944770315,50.08203221480742,49.10529292327591,45.719591918363044,44.34524505511726,41.87413050071997,42.08073653074067,39.18181812112888,40.48332193437547,38.42550609599199,40.50308499393914,43.41081119878671,43.991754660517174,45.34117913041862,50.72960987601433,48.260869448253885,52.62364127618797,50.443779082465085,49.4713978875299,49.07006431891133,46.48273616833154,47.00744469220207,44.651180266439596,40.64346103761501,42.36638482899419,43.03227229441828,46.95504766732824,45.37405580152834,51.10512567833536,48.84480642288102,52.130420421690246,50.56571919077912,50.45652313135924,46.62391153976929,48.494496584428674,44.87472067678779,47.54119907873205,46.31277658798277,49.85548666434108,47.76734091089176,47.64571692450862,45.991063572574475,44.77631890166528,43.73445781683073,40.51868620964648,42.91895175089456,39.893043590237596,37.78519226094981,40.06270093291102,36.840565492198614,35.009767761146186,34.471610620648065,31.086549742931666,32.02302358972106,28.46505465089557,30.075392210116313,26.35525346273839,30.332133072547176,33.32475986896818,30.935818806398363,31.138847929702834,26.650620176192128,27.81851618281381,29.767193610893152,27.932681584739317,31.94487027815154,31.242634535997308,32.79661269147623,35.595475855560444,32.506844092895854,36.469259480404254,34.34758943108104,37.789906130125395,31.885719093424687,30.424908671263456,26.897752319899887,24.542801745165416,22.327626083267273,25.649895158924,21.927282511736415,24.778315605386908,27.745824511605495,27.98364069853736,31.17574820743883,33.91388033699571,31.784621251340884,34.898905124848746,36.23837075002197,37.256703604042045,40.16997319033438,42.63810061449881,47.105078693540655,49.516965853235014,48.99895901466963,47.40703537531996,43.78115428337391,43.34302587477681,41.56758285023171,39.48627270179527,34.94637203199087,36.540096690092334,31.03058817030232,34.962985626740725,32.27168695971159,26.53752213538916,29.15274324859292,27.265710451500265,25.924546496266174,23.923964538777447,26.863612574804968,27.379400368724653,32.32914423266003,35.81831640325347,38.762349907347684,42.11318057347874,42.08996221433175,46.74024353477216,43.3019808668253,44.22027937954831,40.0771379000175,38.88772471696939,39.44804074765266,39.229319409577165,36.18715329114702,37.82011921539472,36.88996289696016,38.73041267741856,33.767651671906606,35.644296467391285,34.91620318844583,35.16631434198522,33.83631123430498,33.00578696535682,33.983073456346496,34.10005651232639,31.38196265307039,34.97662404720087,34.431113613617896,36.511878136971355,39.64725724933814,41.343201416614505,37.675362766902026,36.87711144029988,41.31075628077155,40.009750665782356,34.79107594357984,38.952250608988656,43.74940325361825,39.15756065137896,38.735911111038384,42.703083516694036,42.659090690215955,38.892059686466325,40.95304565887357,38.36384788534848,44.10105265773042,38.685962986955055,40.29451975114955,44.48770365609659,46.58741171395053,51.09105062910828,50.74795147990564,52.42946714041178,50.001590681979394,51.96050944151695,49.90749591996271,51.3489898424558,49.79277513992154,44.520047383052336,46.09855019825739,46.78175611045252,42.75050070103179,40.86176451910343,42.004476164191686,40.1171609792138,37.167269400423464,35.49679257551428,36.64509820296375,40.06100661032878,43.6390566846631,45.731765237407636,48.74577690325619,52.97635160435823,50.86390051970806,46.42330822519451,50.09279625922279,51.99878027071969,47.3754831804279,46.286951530147554,50.26490880412415,49.60218411006853,46.03693180360644,49.85689546603101,51.86884760269303,48.660246980232685,48.17108119263974,51.37764535817917,48.71540026871706,50.3893529092218,48.500140961234806,50.20450182361716,49.44158346608901,44.17070002340879,45.33899042406272,45.821210701871344,43.21376328315706,40.075528467207576,43.82952665183427,42.301435058413354,37.53094240256101,37.607886987386834,40.998842305753854,38.833033346408165,35.28825987065078,32.72597464109606,33.257337726007435,30.431163471119085,35.01175284281821,31.774272966652244,33.882806174282706,33.388078750695456,29.646104005620384,28.759858658904182,27.865601497108017,27.96258491590459,32.13062610943833,30.60391287970918,32.86364149112767,31.191026947325675,34.64847735364734,39.40214090753139,42.48678456126845,43.51526801863771,38.67721287731934,40.401977325264056,44.04428114636462,40.59574604037507,38.22026254614779,42.655833110582336,45.9021093789152,45.5853879547604,46.80459892173434,47.10818488263834],[39.70491757802856,37.180042865704905,35.72219096961193,31.135133658717002,31.33896409685083,36.07486302130321,35.72933869885518,40.085375785876785,39.52761957222938,37.663932248686386,40.56404968610097,44.3013158477189,40.54349907482511,38.11911806445385,42.60437804907617,43.33245117678982,38.86295706003379,40.80850083442163,38.61015708835337,40.80447505892198,41.109614639129276,42.994299023940705,41.60686182525737,38.39541361145419,37.83492588449272,36.104925263298696,36.504909713663594,36.16549791377476,40.21784821477329,42.97449216505611,46.7567638261798,48.05571721107403,52.22101661931846,53.548274421280595,50.27739182244277,46.385865775815866,46.79175612936889,42.93043513354265,40.443016745230544,44.19050655781068,38.5392567063471,40.790985779057436,44.04751935333524,42.52589016190023,40.79119226280314,39.11919829287019,41.92795429757081,44.23806005995436,41.966265932551934,44.208982585812485,48.3709650439032,50.366984485829676,52.33619969099047,48.61111973315551,53.03232517199485,53.1975487252949,49.78396961565904,51.7126286664538,55.80008026781877,54.30890671663112,50.660434984581656,53.202551258532836,53.198789764181726,52.141113291949985,48.919961416396774,47.5062593937948,44.67328128215698,44.77027132954562,41.54992034466505,42.64862461341706,40.422472183083094,42.25916245687093,45.439367394841724,46.286167294514684,47.80619335569168,53.30774720265682,51.14796320466689,55.51858139838143,53.54453261758262,52.7950263466176,52.43949748106319,50.04606965518422,50.49249424171978,48.34504968713073,44.29283983124829,45.7934745336283,46.40044729349035,50.191845128860976,48.454941460443976,54.035632265432845,51.55773916164486,54.65827557243068,52.95421900381102,52.80489917742788,48.87205176583371,50.484102480127866,46.765848959177305,49.779872752543774,48.5206314970089,52.04172822345166,50.34995314987359,50.285744601465645,48.93125875376557,47.6987617046646,47.001950704060484,43.567846554572945,45.98732272494983,43.01891573086842,40.62024787308059,42.83459348988704,39.35500180735497,37.75491386496119,36.86456298448317,33.70752450553457,34.457339349048056,31.013606567981274,32.727657732335324,29.141143881277547,32.952585627658216,35.79702881267309,33.14932916810195,33.24764825562125,28.784149921759425,29.938827859267143,31.759450951520876,30.39393480203327,34.14994438458363,33.93787334129846,35.636873410409926,38.76847601396604,35.63746553366073,39.72542989456064,37.87534209582356,41.28957510878519,35.388202098597944,33.736806667808885,30.00076270787424,27.736390126637083,25.432599430009393,28.92625432672766,25.333894046491906,28.318484984447203,31.019684933798878,31.235586004428324,34.56331122813161,37.02609772985581,34.794237354083116,37.727452484239734,39.042877191387824,39.679470977215246,42.587675863980266,44.72137309579531,49.3224071655991,51.323028990610595,50.94844557751794,49.673794782215715,46.134758379869936,45.90656375026115,44.274775101030286,42.41603221523146,38.13404353209794,39.78809210421944,34.4631621097848,38.5408901152376,36.05631037648832,30.424420794196266,33.08663533370133,31.342419371592293,29.838020442646478,27.75538372388855,30.577594701101976,30.979994674692612,35.96268669922771,39.38967339449869,42.222398081193745,45.444775782856496,45.22626706794048,50.03656232978758,46.80491294852854,47.75577005515762,43.795360262690615,42.33639625377084,43.16025617657397,43.09145818072305,40.04178160159542,41.77422318090358,40.75820981890416,42.7724290161182,37.85332719962437,39.770021445904035,39.06778059405194,39.21966545266186,37.816493917062424,36.83509078210304,37.67765818944963,37.59457377385824,34.66028563632814,38.08159213204881,37.168156284376835,39.219669252861245,42.127528629329234,43.74896332452116,40.03017957830581,38.99186772011029,43.32675454745894,41.87559176803684,36.42696848786051,40.51553317089542,45.30837635105982,40.43697633130574,39.80086244993289,43.709630802598596,43.62819275145281,39.59042962890686,41.4812545722071,39.0465142427786,44.807896666764975,39.47679827917386,41.44923056516903,45.59885365238919,47.92457984083852,52.23751923149496,52.21464998148068,54.175951911255616,51.99436626586499,54.193330500564606,52.348799302228066,53.91323026192223,52.09456648914072,46.87140583153242,48.75427309998814,49.392018606411476,45.18159570171342,43.50702670302114,44.91526213726306,42.740400505759915,39.62133839102707,38.457326780514464,39.23274257184058,42.99022948611001,46.50109800542569,48.303241455842254,51.4444846234383,55.506712762343675,53.507676972801356,48.98761553539992,52.34511723777709,54.29014896459662,49.66796979931285,48.33076812095659,52.13468875082168,51.37355331239338,47.671633843403846,51.445914867112165,53.31437587656632,49.90455974203899,49.37335703231899,52.62595581597699,50.065431114058875,52.01994292169142,50.4168849244351,52.178329265369584,51.04664770137899,45.827797135895175,47.34019720289013,47.56840692535311,44.781963900036914,42.005715746998106,45.79819302334958,43.85403784561621,39.13778729200043,39.662058572509665,42.85286695356165,40.305688858686466,36.77313760731766,34.02819698278635,34.2652039984003,31.144895579864613,35.5952751201059,32.43071557330677,34.965863926062354,34.38468420984082,30.35823986850862,29.903450668296824,29.079740134391464,29.692100210825917,34.025006534872006,32.700039137886016,35.36240680246328,33.57813203110238,36.628755042568805,41.634137528098506,44.550547973025544,45.588191462083394,40.63452741313499,42.02821018050223,45.62627825289006,42.25465955857215,39.50449556078689,43.807990317006464,47.09020922947716,46.841753030224794,48.11222317192567,48.550568474898625],[36.430872634314696,34.101003938496476,33.075281814511925,28.376281380090692,29.249508323490584,33.65183809668284,33.62084298122946,38.08206178987829,37.355883682245235,35.82714990312905,38.71658894192452,42.47606828279541,39.15255141205122,36.54814961987677,41.25265281853196,42.21151624972256,37.981971902302845,40.260159279809336,38.49231094937099,40.9346945572008,41.57178012642575,43.805433190752,42.60548084274182,39.599804321190064,38.78355951088943,36.61518609059089,36.83251356466495,35.99861876995229,39.81061335645544,42.28292046009593,45.95715860333786,47.156640188361784,51.273879628618374,52.924915396554184,49.7944799901663,46.070289580975206,46.38212615154522,42.99670276366681,40.738922410246445,44.924846305086966,39.385828493995,41.48242752974883,45.02776960905767,43.67578812714529,42.292908667942136,40.7047072706315,43.778197832582165,45.76944747664777,43.24784437922059,45.874753721402755,49.911639600919,51.78624293747526,53.66131038191576,49.61268274931227,54.015964286075224,54.40658682078314,50.877864500932944,52.496698692206046,56.718378573425206,55.55263588180599,51.67692816312058,53.952136497640026,53.627027456742795,52.83399335861211,49.74430380021477,48.01602722053695,44.9672498481865,44.660680556160074,41.271162092425065,41.933317115960946,39.71105228395356,41.522860593761536,44.77610798186473,46.06766480200541,47.431470937334346,53.16416496548262,51.22525015611394,55.47793927775448,53.6637823316774,53.20899387049995,52.651893285637414,50.48659215369318,50.59688193049788,48.77379897722309,44.7295846132233,45.902937135306715,46.670283883436035,50.12725576252222,48.4747831281042,53.793772377368775,51.19458580843994,54.22724012615722,52.24447715485077,51.86842732679374,47.75130687156072,49.13106313445745,45.252453993842146,48.43524172945764,47.015284465269346,50.35951964686246,49.16993252757848,49.01376568032408,48.106601818685505,46.73974437412339,46.506972213647416,42.768176911952416,45.21218659992396,42.38589121056529,39.61860630908211,41.68481784326434,37.91663549986991,36.61709014604782,35.36083444450511,32.551953441722624,33.2620037487167,30.061077128561127,32.09607723556395,28.895365046458643,32.879093723182855,35.251419246196036,32.338821110276925,32.078672090204,27.599398093643376,28.496312864182944,30.001711426287407,29.056057403201333,32.42389606603448,32.77380563191788,34.64904725813955,38.198443716167674,35.135348613571665,39.41144802238757,37.98607733576105,41.234581590997514,35.38793139405115,33.42065604336109,29.46488701119076,27.348383017249873,25.05310486089215,28.778241285114866,25.73946630149873,29.206325709066366,31.42250932280253,31.316249134896847,34.81614993396511,36.80223414389797,34.35106103845393,36.92138709019169,38.07217871248065,38.24273644018766,41.04603757857313,42.842386744997484,47.52117476784174,49.1153817025095,48.95310458089267,48.002637392450076,44.62282786083502,44.54971040239029,43.19878745617908,41.51763214234811,37.660978822062724,39.54916127713744,34.5383584716503,38.86482068364133,36.66796638469621,31.305123416829037,33.9769334090715,32.70945920413232,30.833584561057872,28.48189139705579,31.0150161991477,31.204516395150886,36.19892371903647,39.50548627198009,42.17143714869802,45.134936409656135,44.736006438203056,49.701735322199816,46.838645805641605,47.75735437991174,44.153473660739984,42.163980297150566,43.461291362788124,43.73251776856211,40.673140098359056,42.70964480798222,41.658949318037344,44.09532200619303,39.43413924068637,41.26430568845811,40.69103548527663,40.42194160152744,38.907014254873616,37.58793035692069,38.24564761492286,37.970598179781355,34.614367178892216,37.783718278660075,36.421066220897586,38.229350487043185,40.9880084732215,42.35844043675813,38.56010130412494,37.450453822993104,41.64820552765091,39.91584413945408,34.37444752943845,38.47296337056454,43.11067127267429,37.9529615986355,37.25313961278538,41.10723515073286,40.8560545203363,36.66124861301963,38.56788185653655,36.34313716479093,42.14520118495027,37.19503085961786,39.30120234993356,43.39326719312454,46.07867697648612,50.22866495860254,50.58175986631392,52.62421872642928,50.63414106958079,53.028932322088934,51.26192247138673,53.137602575651115,51.177026183456135,45.859104329130986,48.04419306519409,48.91738728516257,44.535400036212515,42.92612523014393,44.72511771720102,42.54608769026721,39.12384232986409,38.29736015168996,38.46349884066932,42.39551393851511,45.862416887735876,47.25638766255375,50.42371927410018,54.2644273359753,52.28864774369965,47.745991128488306,50.78108156379083,52.650669713117345,48.0132107100313,46.508122995806,50.08739791719223,49.18010554746714,45.41355750712507,49.21351070522231,50.884740634395115,47.2762003598351,46.83219814705501,50.170382718504634,47.7744576056225,49.99206886512279,48.624851174070464,50.57843869301828,49.159301487648364,43.91480290822357,45.83541814861078,45.999389418481904,43.02285482166591,40.56718766612373,44.625567975358436,42.43462731689913,37.62779197211852,38.64258347363495,41.905407126375714,39.10991522197266,35.47064164450024,32.34431945056638,32.76386492924165,29.23032325466753,33.3700648508687,29.992048230591593,32.67850319290939,31.80032223285876,27.708315026846364,27.677312531362254,27.190041417392845,28.165540412964386,32.49936976333984,31.104450877835028,34.14346491112102,32.11251863722716,34.711822824537734,39.90523350986591,42.65224598376099,43.63052163101599,38.59838806200261,39.71155068612683,43.20990277192407,39.90529760017703,36.86386406050149,41.05623895755493,44.31954025757106,44.11669876267188,45.429747403209106,45.99598652180748],[38.75280360983931,36.48586281202619,35.59786540008606,31.268874814086967,32.348675168773866,36.98735124392868,37.27090404236531,41.78686680660444,41.23761216607286,39.94113126910604,42.89775436723033,46.59332699001599,43.372125446146725,40.8469703838418,45.60843165058225,46.54832676373849,42.34404622221767,44.67422307077789,42.90506368295306,45.266649981186106,45.86544158283562,47.975325416437045,46.733875222100025,43.636294356154636,42.891407758893145,40.8786692860156,41.06801130042357,40.3082768642396,44.14060660530841,46.56381688638782,50.36250581249974,51.441201448198626,55.59669143977851,57.29667386233519,54.11310123610159,50.404055679430755,50.60162199756564,47.20176906801433,44.84465055088957,48.822088389838704,43.331670527708674,45.60983108700183,49.05096759787856,47.562185237035955,46.02581581834827,44.26824664219228,47.221571336181235,49.434238411865365,46.89530678672429,49.226669713873136,53.42554836835366,55.26123286867362,57.3037105077318,53.38358731279657,57.83405022019722,58.220768991387445,54.79589201368983,56.52271868207414,60.72189597396035,59.463656970697826,55.72951876536399,58.140644877868155,57.91253899175542,57.075499418764,53.92551843555216,52.270418493898056,49.31578771307347,49.07237990884464,45.716607141343204,46.400098475443436,44.175573439952174,45.95735465100912,49.237925125779526,50.50326539199604,51.88154287804135,57.59492499048779,55.597029510056885,59.856902224524895,57.97265622953198,57.41479817943881,56.80633896507599,54.49768490200382,54.56184923215413,52.560382856638284,48.58966040719344,49.9383372630617,50.82170105584597,54.313695242016756,52.777870455249044,58.14368856338356,55.60507193188992,58.67412010793508,56.69189695675073,56.28394774086657,52.139734870523604,53.51303520562499,49.5968580123595,52.725636335682125,51.20633520383456,54.39226638393725,53.29923538768202,52.90685585077903,52.098049818614705,50.47834465872687,50.06359134448028,46.238183613963926,48.416907020568274,45.396360896014784,42.58998048063782,44.89995411881019,41.21151038268424,40.21940585099402,39.14182643149518,36.47044726600544,37.439641309552016,34.2907124688297,36.42766439998534,33.23395205421287,37.279710973209134,39.68181871452192,36.7863952392306,36.47039363819298,31.956163960840367,32.70700203568998,34.00743552932345,32.86602274312997,35.85768784474921,36.23663646903629,37.875716690883756,41.44937612325769,37.98656553366379,42.131642049164675,40.79595451723398,44.33332792558246,38.51947125636264,36.8601975478419,32.60984222195398,30.934681061055024,28.905550907332824,32.68782828969587,29.752770409409617,33.174974341972344,35.58674487463882,35.4436217097992,38.893670450582334,40.983216225491184,38.49947751340684,41.025046258032,42.01190473632083,42.173221119477795,44.76434313119385,46.62590375553872,51.20413605583113,52.750997944154115,52.81570122806811,51.9092570118936,48.624099103544104,48.399147597779255,47.231223770272145,45.30298052685682,41.485097149059065,43.572143023774125,38.458159755026436,42.74729587697622,40.27162332015812,34.77694179143657,37.1354661766243,35.57560880273328,33.57048294605646,31.601138536475425,34.170555092459956,34.7357260013648,39.75512936868128,43.164134559500845,45.973011490658905,48.93298027854083,48.74588732744312,53.60681638702624,50.683254583373504,51.45310765629764,47.72611131769277,45.6744757291733,46.6950620495282,46.81246297539416,43.89007085285752,46.116075955019845,45.30996234503112,47.48269651445409,42.72061038157324,44.32324947686246,43.45993546565887,43.37301965972348,41.596190351748525,40.26357575475144,40.73948233490194,40.175217716219265,36.97760012514767,40.03362008645617,38.549834455378424,40.72073390206807,43.09155791872034,44.76844749540872,41.121691267341276,39.52749094536177,43.65878234707405,42.229806645718625,36.46349668567967,40.240047575526724,45.10025177523937,40.07849022802364,39.013168801061674,42.76093226045982,42.8711942900749,38.53482773517637,39.94997799921381,37.64147204038067,43.27963074518141,37.91462216734973,40.40561834155643,44.4337163249506,46.91150445067625,50.923554319613686,51.27242582854578,53.6715152766188,51.88398362892762,54.42955646552626,53.005735505331344,54.64214058130555,52.379355644954046,47.36754876576579,49.70716497671718,50.15448083563394,45.71160837034127,44.457743007293146,46.254798784136746,43.56205873973254,40.248354885428924,39.99168669538615,40.23393350079493,44.610653053193545,47.92114912560697,49.2955580502569,52.70196090720221,56.48472136592646,54.83292614588066,50.16605757836013,52.987371402730595,55.13912324565818,50.64819822365468,48.825872141082804,52.417452835595505,51.66178628196805,47.729251368762185,51.245565878066905,53.02234761603493,49.49743428276862,48.68861156939477,51.871931367260245,49.38414219845943,51.653560301569854,50.493909097500605,52.18123502947248,50.51596397596441,45.514100479074884,47.404298326713395,47.161932976739074,44.19323923263122,41.97796972348053,45.646937512643746,43.09725298688996,38.602129221939244,39.718860082158656,42.48820856084245,39.424832476752485,36.013376722517954,33.17333204528404,32.87581312379074,29.518513149973277,33.75540624747082,30.938957340118733,34.07008430285139,33.670947520405925,29.26382056722699,29.27641014666325,28.360843643295322,29.693077078336824,34.19472477235403,33.47799434121972,36.6672102477327,35.077748454746,37.487069994726426,42.81867881507643,45.381318415035025,46.699486991703665,41.64964741768496,42.38576656817302,46.03682392319637,43.10866828445052,39.71441531821051,43.62607918787208,47.09334283124704,47.11515566526532,48.581908449567194,49.26886709342844],[40.05556248400788,37.44777347571955,35.88607479994274,31.796391175155392,31.97192541525398,37.17815576170283,37.18202458788299,41.595580466258916,41.450233893070916,39.92413146938555,43.02536712183995,46.58503499539414,42.90211239939573,40.78308440521545,45.38412039583957,45.96713070614343,41.55089494101167,43.72159096999588,41.75795004332258,43.68646677873738,44.17202935241482,45.869694048495795,44.66529010869552,41.41361875427888,40.666199124557416,39.0921734051533,39.18062413927462,38.819368709403456,42.84801408352545,45.41448093958169,49.60299137820256,50.501343978086545,54.78249663495227,56.26108630213269,52.83404817036837,49.03389833677093,49.092676335980556,45.3369112674937,42.700719065192914,46.15889454396571,40.723911973400135,43.36359911844507,46.53561602159188,44.77777230208921,42.9936628441253,40.98881193523143,43.77131987212719,46.272666274038194,43.74781999258571,45.66715130847055,50.049022026175884,51.87202339649669,54.10960208230043,50.4499473297844,54.944476739358045,55.265085626760815,52.04845385838423,54.01002314251673,58.11954508338546,56.67623394397042,53.260429744450924,56.02111170761574,56.08583271805559,55.22367179337437,51.84495677561269,50.360668966163644,47.86312008751117,47.87946934839213,44.889756471766994,45.91967760584747,43.84286246820141,45.86610906765932,48.88588842806317,49.740987241351185,51.01465381272826,56.547030172819156,54.14514842452514,58.44398377950432,56.2719416085543,55.35354747879097,54.74080829634716,52.10372180465284,52.327881426209764,49.936064392766035,46.044104779003305,47.791747036431474,48.73797608386329,52.48057259762108,51.12200321603082,56.74609695112685,54.48394372511544,57.7801139372504,56.023787807686816,55.71664717174835,51.70545068283339,53.41685449692329,49.61552009444438,52.33770346718488,50.854464188651015,54.0728753136258,52.448349807020946,51.92517538286932,50.70937715535136,49.03232943569475,48.038058288145784,44.47634124096288,46.51249950979574,43.28434114861966,40.85809583552125,43.4061031896856,40.083444990290914,38.895816003986404,38.35168691047464,35.38741078711681,36.66929155071689,33.33569125380429,35.344049944498074,31.902682068486815,36.09910607503054,38.8034438602537,36.21860960962931,36.08336735820771,31.485271437939545,32.274038578566845,33.72701421799646,31.90764551861817,35.14263932938212,34.87612467598918,36.22057294660907,39.36868263684837,35.7148417789081,39.632325478467045,37.93436977768532,41.70553290151347,35.874730789437805,34.64147343924297,30.484148391718453,28.8922444856021,27.061316661850558,30.67482574612712,27.532239947378084,30.69062391075542,33.56056809897688,33.50553368023343,36.76114653474773,39.2974769515851,36.95211114449843,39.748598470589904,40.74082604331971,41.42046413018486,43.97738919521305,46.32805068146347,50.73161334094808,52.830341070110094,52.765853031660676,51.43974161930867,48.035438844175175,47.48306498935197,46.15545323590412,43.832426470907514,39.6351463415557,41.69294542974054,36.25576253823754,40.31869936890101,37.42631239941796,31.70868308499957,33.841438548672855,31.861649618778383,30.036784487859265,28.433020747818684,31.206036740313365,32.13531715136326,37.13541900903487,40.69201549711737,43.7299648886899,46.89712825810151,47.05655974457914,51.671403781063105,48.3956357768349,49.07208035114386,44.99647760809003,43.33826894512014,43.81949849959192,43.607579079497256,40.76765396587664,42.90352437591021,42.31785050162053,44.0585662251209,39.15188233347613,40.60895438209917,39.5274027976698,39.756933012871386,37.94118841822662,36.844590186205885,37.410814117002914,36.94924555149808,34.164915503693926,37.43844545149596,36.40724127800266,38.879237280338245,41.37517182776694,43.36863381406951,39.8402491622217,38.289794639927585,42.58407381335066,41.532037372255786,35.88232003932566,39.642657043170516,44.70562862796633,40.0935568045718,39.12514346927679,42.95665875634297,43.31436794733105,39.227738067436015,40.655368004906435,38.03461123917131,43.62890206918181,37.797044531854404,40.01860827843496,44.13089070377943,46.154602848753115,50.41726803170533,50.263541876181556,52.49336308118883,50.44421755452328,52.74084565206786,51.21257888359083,52.504647447397474,50.42406790121871,45.50099470278901,47.496401503817964,47.709769773899275,43.46067033344256,42.11543363594358,43.50793621842531,40.84922213243685,37.846073959320975,37.219325189258385,38.0974729655649,42.305148298879075,45.64515101876863,47.46393808027133,50.85511796133774,54.88510456578524,53.2431144435731,48.5882230871335,51.773217225885354,54.04567197746612,49.59743440478001,47.94705994234391,51.83336332141351,51.293731704003996,47.432417240608366,50.89685463545018,52.95634997904774,49.73042624983057,48.78190634148376,51.84343231131427,49.12767940291848,51.03160770284744,49.55722856888353,51.00819447925972,49.73214286556639,44.74798713601716,46.11869035256545,45.99452009646066,43.27047032751475,40.62772262526659,44.014871301142215,41.83004482239059,37.3981808906202,37.90591278355046,40.667119797384395,37.96508258590377,34.63893678519075,32.23086939017228,31.874945536299442,29.0324356596485,33.65850512879419,31.01867854783949,33.84917301505454,33.83954543484003,29.564553989992064,28.96294940989462,27.64705447349988,28.470848094083326,32.94836102736835,32.336985623934574,35.093786750660925,33.882016886338,36.80156438752588,41.921242425901596,44.65811763155775,46.14027985759131,41.188657083829135,42.21897676703295,46.046858611778454,43.139502947235606,40.06278050189631,44.08812725992603,47.635565622863396,47.65746576372948,49.12669318057054,49.6834763451093],[34.655720104158824,31.93617202011687,30.211475718977542,26.110662816532724,26.182587005356776,31.44617358163414,31.520485575623553,35.94965686345519,35.97226106193838,34.662230064338814,37.89364205786537,41.31590396466075,37.78045489911633,35.86250455118894,40.59272038285368,41.125274771694876,36.867679266132264,39.398555643783496,37.95960127408095,39.80825804303256,40.7620489478166,42.62915588381109,41.82382914152172,38.79131873921093,37.546955094130695,35.66445696985341,35.30805269507358,34.537326174878196,38.37422987095856,40.63135394700299,45.06615000259299,45.60561631644323,49.93675433056723,51.69129556275052,48.237569552170775,44.61824613663151,44.38460669458794,41.04170147179796,38.51112081086142,42.23356502837471,37.026608179713406,39.7507854406983,43.16926951735217,41.4599519328998,40.085425106162965,38.01841502407945,41.15671256634073,43.313679973646764,40.352724941760975,42.65340297261824,46.9512575798325,48.56871539436514,50.780924695946766,46.764911445531936,51.26215612448649,51.912691194643116,48.67545501900782,50.307265823203004,54.569900972195406,53.5363146054649,50.011875500295126,52.652674594909755,52.45501490528016,52.054783536299965,48.6593675119316,46.78599856860653,44.42771890591186,44.0235078730471,41.19483823749559,41.88256400744989,40.01785543256792,42.3101669443575,45.095401632565235,46.224760363632605,47.076865773052695,52.7902264600549,50.30958827333114,54.44000898790383,52.23239293779394,51.448226986013914,50.49395296501252,47.933517378715585,47.771109970719536,45.57384388193123,41.74366533141708,43.30824504409682,44.56609671835363,48.0044972064828,46.962302652649655,52.41658109120101,50.25690589706192,53.694946425053054,51.72907640190235,51.15989092630247,47.01348805928031,48.741415343640675,44.836227831502384,47.343705762368785,45.66494242268006,48.666295390367395,47.22698461492736,46.48022100796835,45.511977519886806,43.63912331587566,42.85142152618664,39.096500657275605,41.14085261580921,38.00592823996404,35.38632343582673,37.84840643752618,34.41746154775002,33.37948161883003,32.79129721950597,30.014458597060163,31.53983630051972,28.387583243525025,30.75692975734361,27.687597770746944,32.35755467310732,34.594189090300574,31.96031065584215,31.449479576933356,26.75817028558558,27.173287385045047,28.32690461425147,26.414346588432203,29.42212148318132,29.31638034181203,30.72109843287873,34.09835666119518,30.518647753663668,34.60282166249611,33.186068130888366,36.796466254577055,30.990946746696764,29.53890939326697,25.213041908769842,23.769789161346765,22.09169578768451,25.90170661725142,23.441132194627137,27.170621094454212,29.67116962368533,29.16188599438076,32.50941079282921,34.713361828252765,32.16299104340099,34.67593574012153,35.447808134025436,35.96472493293632,38.37620900086175,40.720827211206185,45.07549513988128,47.16634095107424,47.219397381360785,45.92142047534701,42.616089253350346,41.9899383734088,40.882748520848295,38.487000814976234,34.55103043610287,36.908626042659876,31.66400022163412,35.927721269963754,33.173472553978456,27.70599263387175,29.77541738637083,28.334924293759673,26.097814754296092,24.188464785020592,26.68227668271463,27.4791803345161,32.49791715179779,35.98264067447041,38.94194562262958,41.90846464110411,42.07221733812922,46.71852704043058,43.69844134529388,44.281080848346136,40.475988446233934,38.360371584957626,39.197588721153416,39.298341710178434,36.44571987714243,38.93291757975599,38.411240891088326,40.55663778356218,35.9743380610896,37.248648433949434,36.32294002802697,36.037377181393204,34.12368409599325,32.68500316350539,33.13195623426941,32.61380421367018,29.418920728670916,32.57827819294769,31.327039376063674,33.53283196230066,36.13426369426919,37.89888752623037,34.278813583060504,32.89767131137599,37.1964943649788,35.93952238044897,30.359694485628197,34.295472361920844,39.22807467833451,34.53650917154664,33.74774715189627,37.641525606694195,37.8322832154818,33.84675107458861,35.54326190383698,32.94907628485,38.65067310093075,33.14606315399452,35.08614857954053,39.24151230009956,41.498335651330734,45.844665856217475,45.79081457129866,47.7734946337406,45.64541589743014,47.92712464512612,46.217092612366024,47.81506895729395,45.85840166328402,40.67039921439612,42.73147940115601,43.36029579694559,39.04344593372511,37.49005370672856,39.13682711434868,36.824136918725046,33.53652166498135,32.74263259504497,33.20382545731861,37.29474971336646,40.69530145704562,42.316396167498944,45.6157688915237,49.58211272190026,47.81519018136842,43.18649577009201,46.34892320013033,48.48777724209859,43.979624022594265,42.394040841281544,46.23646538337945,45.622940148251665,41.81043837330769,45.402685910479406,47.40210275640699,44.1461880215858,43.35733418732281,46.50505860513676,43.852056275052014,45.767422586105944,44.22780260238238,45.892073740409074,44.68868352355173,39.53478086729222,41.04552206361328,41.17168994480514,38.37812053673094,35.665444032298105,39.446241712140676,37.439175764447086,32.71584435633791,33.3490707968886,36.54790525692216,33.95968649912249,30.381546392511204,27.597427407013008,27.93811344202002,24.817587868272017,29.303163635519102,26.181471804693178,28.694881533392135,28.407353385646672,24.321898938135703,23.67637376014066,22.68878256170072,23.35799804614809,27.74978612490408,26.777302459341556,29.620195458846183,28.209891871161545,31.067222287093667,36.205619251070004,38.94997174186883,40.37258341654632,35.4092729785074,36.48103636924581,40.285563873358946,37.36662014269652,34.332542926673064,38.417723561907486,41.938077617927945,41.944974811622735,43.42792073721963,43.991714341146775],[34.66358923215382,32.262322957653254,31.21587482431938,27.25658949988304,28.307795366155165,33.26382921521865,33.86409236998569,38.41080564745346,38.26898851715655,37.37773547993231,40.554021374318495,44.01186277257262,40.966593361457235,38.80565237408099,43.72106732144235,44.5209413072057,40.48420244258812,43.213213083099895,41.97700158001295,44.09581961032456,45.14345059298413,47.242652469164376,46.40765308533398,43.43960030616351,42.22448319423305,40.1048007889138,39.77987911605248,38.72154653398949,42.38444359675706,44.448532725156205,48.686480824515534,49.22856218011937,53.486826137729956,55.48550093585039,52.183928898302675,48.678298128960606,48.4320467587867,45.413330522868826,43.045522509843124,47.00713301087242,41.84181704126452,44.420701921653446,47.97120555530726,46.3668094828028,45.09276885948733,43.086367567211454,46.26377930133669,48.34729824842909,45.34625510896577,47.73407456005517,51.99836836959819,53.56880371080318,55.76116398221893,51.63884762839468,56.12664146451609,56.85233788911718,53.549807426705875,55.05823019819388,59.37284703885491,58.44429757846031,54.794443718663274,57.263455113496256,56.89346538217772,56.523904485814015,53.25665392772048,51.27884100145045,48.65852535553006,48.063007137601204,44.990385944028766,45.38677714357813,43.42456895865309,45.533272617526166,48.52116871564351,49.97847249494067,50.8799300273179,56.73314917464096,54.51124009497811,58.593529512424006,56.55056872324313,55.976267682317065,54.95064971251098,52.54330976166223,52.17990619600445,50.16895147438361,46.365585214976576,47.73547102263782,49.062875025015835,52.29094853784781,51.24120904041428,56.50110283557707,54.19119233669094,57.49440030434158,55.330756168554494,54.625481995334404,50.3402173894271,51.795230365270406,47.75659584684951,50.51506225903367,48.70302431834935,51.50918486043387,50.605342960572294,49.73599012010778,49.212886482828,47.154522026401196,46.704005023905296,42.66575780563887,44.575991581425214,41.472335416606434,38.50655414174941,40.96029947861472,37.310838531341396,36.73459392798373,35.85107982489768,33.48170900400153,34.9682115516814,32.05043865124105,34.62140440278403,31.803476771863416,36.40678930658093,38.38237741458396,35.50798525827421,34.77248581940393,30.131965122885227,30.367431297193857,31.186025085981356,29.70732541989991,32.12369982498602,32.617513700384336,34.052273816843226,37.7938873059833,34.066285272049775,38.18533602184894,37.18941575367329,40.812521199502434,35.12042277117659,33.58630816188938,28.978928478120462,27.88603338827629,26.293756605630033,30.242653822114832,28.094196494209015,31.981447096040235,34.228676828638335,33.60027607736408,37.04536645559509,38.93072095757462,36.24228926995905,38.45199540122803,39.05551783022075,39.112630000498015,41.33917417694452,43.32584186411065,47.71492903554065,49.31224240052279,49.6830495551721,48.76885528013484,45.66433755394181,45.167900337393306,44.379079096528216,42.10092822745157,38.566911938274956,41.12288004422433,36.11514711050633,40.50840194755512,37.891568790066216,32.57303039929336,34.53007470305936,33.222431279155956,30.746367751299903,28.89108872472993,31.18884546928875,31.984017516016415,36.97475175109302,40.38569813163155,43.24936568940754,46.00586074006938,46.07092937575909,50.80389725506219,48.05433118786821,48.57048904453547,44.99018029672725,42.48036588876396,43.53629239309514,43.79145675657427,41.01843680232998,43.74464681193173,43.26384488875669,45.54027503676036,41.04383172294925,42.21699602396267,41.23023597849868,40.82433114153804,38.72373070386724,37.07584578444199,37.27165415392332,36.40773847469666,33.02768915568824,35.8492218440308,34.09894029196303,36.33826277808774,38.463421028129225,40.209943589031035,36.647048119023346,34.80771402900024,38.88119723619419,37.573403807353806,31.7238034490688,35.37278030463637,40.31188823338954,35.40837677980093,34.22282470831234,37.95342340446347,38.25283622018987,33.94363208290536,35.21392682910346,32.79817461541072,38.40343708804661,32.93177251165168,35.418046470466365,39.447038995569365,41.90625287584856,45.93550362821635,46.28879589060331,48.69798718040891,46.960909219382245,49.57233041204693,48.245944169902394,49.92948613158855,47.5720690887877,42.58726006538278,45.067458023338425,45.534322432207816,41.01915018909215,39.85949717525641,41.85020336172441,39.0815976412119,35.634632896394905,35.67419790924837,35.63384870715239,40.230632834466945,43.442695090825175,44.649836630194436,48.152544405771295,51.8404513408901,50.3538800207842,45.62880061584992,48.28271064441094,50.55757918881958,46.15885009033131,44.15700064242648,47.75265871458532,47.094611228961504,43.08827218219314,46.47121136890604,48.32899402287142,44.90831149004469,43.92070704754188,47.03322453869989,44.49015514151486,46.74524787103121,45.64644508062202,47.2782827484709,45.5472545751283,40.594529879099014,42.51356170214913,42.1968695646393,39.21011867758045,37.07645809233033,40.75392713964656,38.14170969899547,33.638562558421434,34.88745285852754,37.66150394687105,34.54706043556369,31.09516446525496,28.18716374523521,27.970449055675235,24.549198764184556,28.790749453306034,25.98590373388107,29.14083316407296,28.93986794396884,24.467788378692298,24.40381420645447,23.39670626559923,24.84646054378754,29.36875077009258,28.922873123538345,32.25694764384457,30.924802663747,33.13093321933879,38.54163389001617,40.957281248638424,42.538492372188166,37.500811983623464,37.982323009362354,41.76414173616068,39.17510142597652,35.57054207215236,39.30649897320773,42.9397246280543,43.14871409145345,44.76755146639317,45.547072088926484],[37.29775318945018,34.6995965045101,33.23179546991975,29.77882037996186,30.26160437119119,35.764399347061435,36.368229283187596,40.846633352884375,41.12808362434583,40.23116659845639,43.54681684345829,46.8503092562328,43.554733789278885,41.74640001364872,46.57753843798656,47.1082534154591,42.95207799455609,45.610958789743734,44.260312731050234,46.01916135043842,46.98507222763064,48.72088990706209,47.90991121770671,44.79310514300332,43.597026276355926,41.87040995019289,41.43538512537207,40.68722079295017,44.48298954706934,46.59573098348289,51.19776339659482,51.51140428228874,55.880651019558286,57.76628080267042,54.25748677220285,50.71383393390959,50.27336214756681,47.023590535184276,44.402555536500444,47.850913724955966,42.79780642604557,45.7546990898205,49.05060952507944,47.16876385305871,45.64906680499739,43.34885646693497,46.33656316562782,48.74596177264053,45.71406115453708,47.61208395828717,52.105146982322054,53.610405499229984,56.0610689888193,52.201837765158096,56.742366338777764,57.44498057877941,54.37454680723235,56.09805586406615,60.33482835460985,59.24390841748446,55.92038916075262,58.71909064607789,58.60667709010769,58.21958404618703,54.75363340543969,52.92371828877043,50.698000681116,50.30501757196876,47.51758771017818,48.15631700454627,46.301456060544986,48.5659205297071,51.38408100809977,52.54953263078398,53.36963366027834,59.08851226965619,56.5391397442464,60.6396734659886,58.34348931876866,57.449674614166014,56.36206102011333,53.62648946988418,53.3156058973994,50.911546426954175,47.238293528789434,49.00453010360609,50.47796032713403,53.88178442760215,53.06293293183316,58.52072065575078,56.45807780062611,59.95142742102962,57.939228542418235,57.27222018290463,53.0624269286798,54.75274310604798,50.77229284786534,53.191264218845944,51.33306855448672,54.0365777494982,52.824352469247195,51.68060146173338,50.94670283934224,48.65606427056839,47.65695066417983,43.75365709655843,45.3433728442979,41.95448208044454,39.249281015799674,42.0514842955384,38.756141658250215,38.273591102130254,37.91603691105055,35.45078035216867,37.33636858998981,34.34002018926527,36.88549020506715,33.92085583429627,38.66830089348879,40.85379798645904,38.207371416453555,37.55841061495047,32.850838070345425,33.02003041363716,33.80957703707762,31.71777100213093,34.02158186493228,34.05650657356437,35.08431192393126,38.5129654925166,34.35896863283112,38.18191068726531,37.021294558091526,41.0142853930324,35.37789388121228,34.39302078443421,29.66197542534346,28.984230178632703,27.746069811439245,31.589406547742634,29.41954405736681,33.10075806106014,35.76039180323507,35.148436403453395,38.41131326644848,40.6561621922995,38.044678277289975,40.39415328159245,40.87366422283421,41.29490199774664,43.328420128688975,45.71360621476388,49.880126302420386,51.84745054397886,52.28748601695996,51.0995816044569,47.98971463319881,47.14361959531027,46.38277048478257,43.644119608596945,39.895651577117896,42.579629842641104,37.304749532545486,41.49989934821641,38.40395753937643,32.88963216533849,34.417776780717226,32.64327938731545,30.168107808791248,28.879155004227787,31.29969657040444,32.6301003995254,37.58808451838567,41.15661491695019,44.27285373486687,47.150727319903716,47.62322586710562,52.08662982351993,49.06453069516231,49.39136296156637,45.50102491466866,43.20524437139649,43.67378746177591,43.59282512703649,41.004661465480616,43.83405264149183,43.70749874794843,45.50080270430033,40.88027926915466,41.7426799366564,40.38660033315744,40.30103820794131,37.95836948105874,36.44510483364229,36.538743466492036,35.50133824285354,32.55303504818308,35.409636415305364,33.89814511823969,36.63491941423785,38.52912172820962,40.74654849150585,37.41685741456212,35.244040596137886,39.36111349591186,38.59273015670509,32.714533525786656,36.06314816097671,41.29798390886389,36.864357927917304,35.48884141959311,39.17073298280859,39.94108271865466,35.769974821682,36.664173165483945,33.95277334298128,39.34177336054247,33.20461205693532,35.754537392797616,39.772819207480026,41.69012445569075,45.794104711183024,45.74405645463859,48.29293150855089,46.51866935243684,49.05106504207777,47.92151856023762,49.15533809621676,46.70001169916333,42.042627032112684,44.381373479783775,44.33551620114531,39.9271604550282,38.99205302278169,40.68274910211269,37.53090034051622,34.408861662159616,34.65288842176684,35.13470704721271,39.942179718201615,43.033424316355635,44.545561633700146,48.21171138641834,52.02239341918009,50.803128459800604,46.010072954462885,48.75785238110645,51.333819795113214,47.1012727834407,44.99566606363972,48.808828155636824,48.43721362360619,44.38289131343088,47.48838490271424,49.63831796177118,46.5355968800264,45.1669457499286,48.04625308850702,45.26586344589074,47.260954284166196,46.08368773625711,47.317357889060155,45.70407920346481,40.98153644767496,42.460344833606875,41.91523739293471,39.14254082594747,36.87652264066787,40.00497185713839,37.40029495493007,33.223531551821594,34.06982556781947,36.424464331352674,33.38618478313819,30.204942889414664,27.908249559789986,27.04731627777008,24.242522902174166,28.85042280990195,26.68988851873509,29.904965911438367,30.401172953193036,25.87010908396809,25.328437820524247,23.65473801748074,24.95950110229825,29.543171470438576,29.728511062324454,32.813990539842884,32.12452639664933,34.55261952077478,39.86037739417521,42.25141800308424,44.20484335804474,39.26363307322283,39.686281119195506,43.69124271543732,41.41330410411373,37.82623885045315,41.41371903961288,45.232240010796964,45.60404582937609,47.32605761482941,48.089417835691656],[35.681725525642946,32.868218223384325,30.968679674911172,27.617230277271,27.54744804765939,33.320421804534405,33.77096726523717,38.17177673496774,38.70123161733788,37.75275225444593,41.159931312118296,44.33412686922633,40.87263984449695,39.34430612074108,44.10853554664726,44.44516344208426,40.26779969242647,42.96420007521405,41.728332384545276,43.24391394162428,44.33321924135643,45.9392398354027,45.308098044105215,42.229657873636604,40.840441763751365,39.20402969510732,38.55080858714849,37.83692491814764,41.627300051334196,43.68352774890572,48.53438982926161,48.63676919212901,53.065361792267204,54.934032445793605,51.31570700440323,47.809339713303956,47.20194918242224,43.952980612575864,41.25708350695496,44.55592093691708,39.6411570126587,42.77885434377171,46.03416000521399,44.062137684383224,42.60648028906734,40.18415633499608,43.23237024640746,45.61362208710063,42.424026403467906,44.29431310422159,48.816665461497784,50.23410848089211,52.74691406018399,48.86983585061622,53.41611977547385,54.21473923323524,51.23393030550795,52.925072300564416,57.16892163707964,56.161108678735104,52.94206942345675,55.8371255488357,55.754711713036556,55.53662059550866,51.97628601040766,50.07890214120242,48.12516841369396,47.69309236142236,45.15291840715671,45.82266619270612,44.12758697087726,46.59137856232577,49.184098395257834,50.25427930316166,50.86303683075076,56.541083120958554,53.78688199968254,57.82693077793613,55.39501464328421,54.39285377469447,53.18074903111489,50.33748114513078,49.960256686979555,47.4623169965718,43.85670680285953,45.727356978969745,47.33778923907173,50.73044141086156,50.11049867743407,55.60363259527677,53.713342391721184,57.35046160561871,55.37614546220867,54.66737459140287,50.492168615001056,52.3449211127829,48.40442804954481,50.54243824644078,48.648413710564974,51.29680376292147,49.882754686498494,48.62016275703071,47.767636544958066,45.40592794199002,44.21285919111699,40.38433798575027,41.928942399661224,38.49095132323622,35.91433910526209,38.780406212039225,35.63403076948502,35.08316720222865,34.97385157145345,32.437132826181035,34.54742887015628,31.553543181857393,34.14611823526827,31.236614203399483,36.188491576844406,38.31896076429498,35.82579741800935,35.133010805770105,30.4021427413233,30.45177009743717,31.206662400030112,28.757348684250694,31.104558487033945,30.85758671103798,31.76414188163418,35.04996280221434,30.857785983430592,34.64079801949564,33.39542927291158,37.42174880822336,31.78943846278244,30.92530365091031,26.202123705502718,25.631281736273866,24.578752522688696,28.373014358104488,26.40924484993287,30.151748883969194,32.851870362279485,32.10678854102014,35.28531755136071,37.59820420669206,34.994735628300944,37.35556564717603,37.76084774940143,38.38187035222578,40.352940149728525,42.96912027065531,47.02681538431106,49.269417536914894,49.657140264902374,48.268313770918155,45.136093802629944,44.1164393619898,43.343388340751986,40.4096396250197,36.582036200279354,39.344716887936116,34.02006605376145,38.16142664416659,34.941833402018304,29.454040988105685,30.839250753649388,29.097914246609733,26.541380278322727,25.31186646621967,27.70526223370589,29.15623294594442,34.0867665588312,37.68227950930625,40.86251205081498,43.756980647501564,44.38466637400295,48.73459082625157,45.6500695458324,45.906162255553994,41.96749282988824,39.69745188238808,40.05616631915311,39.948198415752294,37.38868427582575,40.29863645342574,40.29130406261934,42.050747903996346,37.51269567645994,38.23907157875445,36.86247101911365,36.705988805658,34.320407545956904,32.783337730918916,32.88717896424048,31.903010906162553,28.980267736163135,31.926754122444464,30.5815457395655,33.34063165851275,35.39663756064211,37.65627025133598,34.3337841540791,32.31190591277606,36.53460486076868,35.845767064426546,30.0918695162556,33.54791416344709,38.80717331665984,34.54504236802622,33.35035447150239,37.11500797044727,37.89050689429976,33.922713133632456,35.008497347359445,32.16018687507984,37.59102306193331,31.41101233611105,33.630117081272644,37.72549823087514,39.531231229876674,43.83435771566465,43.55600835973783,45.852162660886655,43.866919414386814,46.238867537489334,44.920666523076285,46.13642191723058,43.874047894657764,39.09219397709755,41.25359790448615,41.32078340527577,36.98318207309501,35.851601868371944,37.43424991208557,34.51061151950438,31.407353450828175,31.294587685735067,31.94685808789194,36.57144237976004,39.73234430462765,41.4099835255902,45.001631657620074,48.93115081273378,47.617287394586604,42.85514505960247,45.82085855089647,48.36520035092193,44.109391883035165,42.16646348511266,46.11611949348916,45.80494378511805,41.83530067519897,45.00763175947511,47.26325760401115,44.292511462803596,42.975403836164,45.85008590732315,42.99099937060142,44.78905040257704,43.38314355927401,44.62130240319984,43.28541686311409,38.45837955518112,39.71891421872169,39.40707369837479,36.733176366325786,34.157540765515186,37.36615046255778,35.09367265101222,30.763585750334574,31.303338632257105,33.933020152910636,31.184506364772037,27.889729593582835,25.625873867848984,25.154587232101786,22.493540263775046,27.252244263662483,24.893477157581103,27.733926708648447,28.26516453388536,23.942942740225785,23.02328240365442,21.304858999521485,22.19670160246323,26.723773688563902,26.744621870805336,29.608831782711622,29.009876450691635,31.704281636541744,36.87964864190587,39.3864368086588,41.355606827540704,36.475141138989784,37.11629506181108,41.175486794608794,38.85989314588954,35.51278866049105,39.210783607946055,43.019694194404245,43.35166304993841,45.05271721286211,45.733659189226096],[31.302807951136888,28.64739078080882,27.1741572996922,23.9311860087636,24.62130278633308,30.140765959647137,31.082634123437433,35.570835014759204,36.08018945745505,35.645177490554,39.07899605119995,42.1626069998109,39.23926930098558,37.66562012744274,42.6414008317246,43.16498983120861,39.320531353309036,42.42334650314375,41.74696039641072,43.439678623038475,44.93728243559649,46.877419660351855,46.50336348036083,43.667382644105395,41.964446983019634,39.8909158582793,38.965804058742975,37.70111854123284,41.16700105649553,42.822192487704875,47.638148437745556,47.49592707768498,51.87271593958408,54.137543054047896,50.656662937572314,47.39506188933552,46.58828512454105,43.94585948180608,41.5088681988662,45.2384701641987,40.54042124775141,43.540378569885576,47.08695614128359,45.28772288179497,44.24878966566968,41.906895245678776,45.24152409994133,47.24732848221991,43.75363314263642,46.03876972602802,50.39846715836974,51.63833749553724,54.05416729867743,49.81987869008338,54.32757589066294,55.4149793481077,52.34696513775919,53.66785662849341,58.051133662269486,57.443078543341336,54.01574437096969,56.63252423916375,56.196741663821264,56.333847007763815,52.90324994236757,50.640239809032785,48.54807326920386,47.64892535223127,45.028292549977344,45.201828301700324,43.59261295742973,46.085459622171435,48.65487694835472,50.190928177988766,50.535381081506166,56.43639680142745,53.87151638300506,57.73286531679275,55.44293412909448,54.7458599881172,53.24700753486947,50.64135990796453,49.820505683982304,47.686572225238365,44.14980043392976,45.660904845074796,47.52157444367129,50.485869641532936,50.06413654410183,55.232869515627584,53.283031610027784,56.88440016578045,54.600203895142045,53.59372074606253,49.225017318382555,50.85314185405126,46.748874589969354,48.93183066379507,46.79832872943819,49.12512309444782,48.30535561226341,46.808852556507105,46.52467081897683,43.90527186193166,43.220191400510565,39.015478623752905,40.494966651512804,37.21552354320173,34.172876476557136,36.90458249950449,33.46307391792955,33.409847194665836,32.97492667383455,30.95252686176401,33.17079490485465,30.546628326537384,33.5438017460871,31.159267378111668,36.327153170002454,37.87514904928616,35.16901266326218,34.02172709978375,29.325756396344403,28.941693298932282,29.17527987186748,27.068671390364482,28.714572849183906,29.146651095778374,30.165063230673336,33.957140116345585,29.801389640332715,33.7646629375302,33.13161801614636,36.9392388718187,31.465433706209442,30.284378166119552,25.26845938080177,25.070933318630516,24.190904497836502,28.18979036557223,27.01936844603769,31.25612395427491,33.39985114877698,32.24050278451586,35.54889041378226,37.29562875555385,34.44695026762251,36.31207677942251,36.42124041146523,36.50559089283548,38.216855123163334,40.49671595435064,44.54749775389699,46.35766706303865,47.080214225950556,46.04201408627034,43.15889319403032,42.22204239933948,41.87463690457592,39.04652725729042,35.800082719486674,38.90879100126668,34.005762207208065,38.3846758938326,35.48940610095999,30.416001157757496,31.728655922552328,30.616747287288955,27.61883077058218,26.109517698726492,28.058135624094287,29.28718548206019,34.1478157030941,37.56730760229463,40.54638581393204,43.08534257681932,43.57916887050132,48.03267210012346,45.40847096559072,45.57012561768104,42.08836492265705,39.14214364448172,40.042824692664354,40.35670024293201,37.8398176825904,41.14795392723125,41.15281402637868,43.37939182159734,39.207464411965674,39.78581976025542,38.572161538764426,37.88283717323607,35.35989140867486,33.39000919673839,33.21879526459145,31.95492924566395,28.497821957467426,31.02590096009156,29.04072816846882,31.513576905016567,33.28339869617937,35.26582137116562,31.889829521157857,29.666703857888635,33.69878237823433,32.72933303151415,26.79999669905769,30.20610379366183,35.341879495162864,30.781463825874205,29.422688389473876,33.12960705288288,33.816106322118515,29.647799091842394,30.650097103605887,27.973273003437665,33.47301486342989,27.639589870370866,30.06835986268487,34.11878567927696,36.36948718638426,40.49103064094115,40.680883030406264,43.09421711120094,41.36192108203465,43.99924887920609,42.81024970808179,44.41766348411383,41.954977892642205,37.06950226084224,39.648850640651176,40.01716784607755,35.45506894051454,34.44045580540148,36.56559642526159,33.64326798457102,30.12377722412641,30.539750708800977,30.31425606858212,35.20936440579125,38.27081432167445,39.39247609110692,43.04238791722897,46.67353382897452,45.44474402210673,40.6425730059272,43.162141823311224,45.665922686214195,41.42986845106796,39.21488388530602,42.90569004987521,42.466019993416865,38.38087979727363,41.52598003625587,43.59117046239719,40.4282106908151,39.118113201187,42.06941758417196,39.3693459798677,41.48655970799848,40.39011791757815,41.8364622060376,40.11662386865237,35.26790020368029,37.04612375811042,36.616081274506044,33.68697537870345,31.549444174861947,35.09692077427658,32.47317359419891,28.012848182547454,29.25528469443381,31.974356475941445,28.871194804962016,25.410502416344272,22.58974388484072,22.376941974140355,19.071521253738947,23.49191028041677,20.86162750656392,23.98692397450843,24.296093586033464,19.7794314738328,19.350773098593226,17.968681301386983,19.46102099596756,24.026867290235845,24.120307364979706,27.509823177182536,26.740340567109286,28.79192976427177,34.21349724424939,36.454333484629906,38.46743174713145,33.513246488542116,33.70529729866844,37.71110425187055,35.633347439463584,31.85825968968986,35.33168697357177,39.200758491742086,39.671886817110895,41.485749757276295,42.342961079582025],[35.73556042846094,33.28728187526661,32.12675499480641,29.268304060684663,30.25070474520281,35.74730059998948,36.90990956723288,41.39820481566929,41.91717669680896,41.57480632894336,44.976813871023055,48.08497514654797,45.2234169775578,43.56845909023822,48.554818299821115,49.12499025453398,45.240542523085836,48.24918291834849,47.360009353169715,49.08378310075809,50.379781903229386,52.21032229867708,51.64426915906626,48.65119663665838,47.186101205519826,45.292959194577065,44.54470072297855,43.46688953857475,47.027981224939516,48.77227813284507,53.54739680498227,53.47825282111843,57.85345720273564,60.072230469784834,56.57828436106535,53.258764591964145,52.49621223217533,49.70126532273878,47.166213224861835,50.67720469881163,45.911333382010525,48.988770904528046,52.394867318307064,50.4883977773038,49.18948951389573,46.75478813224204,49.87851761598392,52.17069528345702,48.82337112987069,50.75469918031849,55.26434501489889,56.544689577413386,59.09812395819695,55.08316030919251,59.623397634275335,60.59587466993081,57.60522108309494,59.119961392700844,63.43996741380545,62.622465498896105,59.319861807210586,62.06863093224274,61.78070593700728,61.71441902895826,58.24888728146532,56.16737220456176,54.03932339263854,53.32535854232223,50.610540890339195,50.908483271114676,49.18173811114617,51.535137340516684,54.26358800464186,55.72008998655037,56.255777411522395,62.11402387303652,59.56041205483991,63.49893310897802,61.18627552066866,60.38509737994228,58.972781218358584,56.24660896232951,55.52243998141462,53.200519282481224,49.699430615439354,51.38910692975244,53.21112141754486,56.30474421355025,55.8338215844528,61.092094209926536,59.12115895466701,62.68555919274474,60.45429530410027,59.51271794459905,55.15572104191813,56.740936101820864,52.63109760127346,54.90498840315313,52.77165266853229,55.04959843035114,54.288314702147254,52.70426308304854,52.43955602285893,49.706313715942564,48.835861029794074,44.65013623732988,45.88780373090478,42.45148309989452,39.47090860840085,42.395093650476134,39.08678902412529,39.23009743652416,38.90344739763402,36.92898988306512,39.16182653097084,36.493767353922344,39.40206423583451,36.84385157053376,41.862249307800504,43.62601142333875,40.898303668795215,39.86795395804642,35.17233379388507,34.89606173596982,35.14657175754768,33.04772019542642,34.50856136253202,34.93652583376334,35.75276200861307,39.441048300289005,34.991798961408875,38.71121968197984,38.07859528135768,42.145246572183865,36.75382874741456,35.8958252771557,30.806235957707596,30.822603310034836,29.99510653447173,33.949090991148374,32.49968889940528,36.500919283231966,38.91411461891083,37.93039123433542,41.19581141584432,43.128155371547045,40.333567050186645,42.275172808814936,42.36604129106437,42.46772993711739,44.071193341130325,46.34065077450058,50.31547359237234,52.02295794208502,52.900368060015566,51.93404113209518,49.11163049467138,48.11999971100386,47.84134048447803,44.900289150572,41.6204080546282,44.73670789943209,39.704213876101534,43.98502304905989,40.85847690024787,35.603500627439836,36.723493514010265,35.187271768746115,32.274807735695305,31.182874839298044,33.26077208277168,34.78843811914703,39.6374150507524,43.13940963329246,46.233845977644826,48.8255993196722,49.457006980925655,53.81951076881174,51.08102553632987,51.16225041396064,47.5124890881792,44.68779172894177,45.24149114454868,45.317844036413845,42.93731917938232,46.255458943138656,46.41676225249189,48.29989003858316,43.93982068612635,44.40659519235891,42.900923473515746,42.5473640773284,39.85405743531993,38.01210955099862,37.71673164463106,36.208706778425494,33.114627608614036,35.51045319064859,33.50876888377309,36.370362097706355,37.65591214621062,39.97929296929485,36.85269375755166,34.12600477656031,37.97138786575919,37.39230957819083,31.360987750838625,34.24922517485878,39.53602511863152,35.22329161468114,33.4333892382721,36.894134483577126,38.000916654600196,33.72300839521129,34.050698800281644,31.367731718940334,36.49221822949235,30.207478863720773,33.17178849016165,37.02539884965198,38.92589613495317,42.76467523266097,42.94593172489117,45.856489709088095,44.43834262389421,47.23871586489804,46.530987262963954,47.76310177039439,44.925031362766234,40.56369803896986,43.27631349988075,43.01914014506298,38.4715957817511,37.97241140972842,39.99206066724586,36.400951361268554,33.1653881849432,34.31485960644896,34.29526813977602,39.61354583670862,42.42949618064,43.55046074313685,47.435573302891356,50.95928960709594,50.13276825155987,45.259171598323576,47.495886028530755,50.30246148013189,46.294201828506885,43.75079559593556,47.38802060184093,47.12210218160786,42.90766076358474,45.65425661182863,47.801332794743615,44.76154495692481,43.03428632591905,45.74268652607096,42.97809943236916,45.141916327960836,44.34383164950536,45.408257845594136,43.37642947581903,38.9598417516104,40.65461933140535,39.65722014166389,36.80478706697813,35.0602313834471,37.94078538342134,34.833294743598756,30.979320855626717,32.30921938486326,34.187955175348314,30.7389486058369,27.75722676180631,25.52770443834663,24.087328138120633,21.24559410745057,25.640571374464653,24.0370536076443,27.70950171203559,28.616215330556447,23.878909103859243,23.59740746972775,21.69642447691028,23.613998420690336,28.187640204560523,29.116017141820453,32.531441466848534,32.230345390206566,34.051991364115985,39.4923598088543,41.50106914885697,43.809463408414906,38.91620682648394,38.71372861841297,42.78481178333766,41.084245810699926,37.01256425758122,40.120261455710335,44.123151071991195,44.804521720473,46.72898773885291,47.69332443161956],[36.9743440490923,34.18990464173641,32.30075322154648,29.910685872022707,29.930301786737285,36.011264210301206,36.98631814641804,41.31499137818152,42.339816795102564,41.89869536342217,45.449511489614544,48.33696211963273,45.125059824918736,43.95902954660205,48.78479378082821,48.985489297447764,44.99471762087025,47.930134437637825,47.0139217977012,48.25936208477972,49.55795196459709,50.98314243683527,50.568460552383705,47.50623548177946,45.93232512251033,44.440758038136195,43.46267440185472,42.682775676588385,46.32783436860368,48.07853155846054,53.29531095113929,52.90817316412305,57.39631780454355,59.474336586594426,55.74281812931626,52.42623798770593,51.40209455778781,48.41474520096859,45.63615774509526,48.57620519024087,44.047581527391266,47.53388490091246,50.67067697239441,48.48282591208742,47.037683439103205,44.29509191290174,47.276639082444035,49.797117264385264,46.34134049045667,47.821188589743954,52.50744271071874,53.657943000056505,56.45695563937284,52.68159041876753,57.247010546173875,58.255503537547696,55.540819286903194,57.20609454030315,61.43855243648675,60.545870809373746,57.60984598270427,60.6887837726697,60.644091632867045,60.67973945408596,56.9986926662748,55.008715727851886,53.41413711330138,52.853539966314216,50.562947456375305,51.09662942562961,49.573995049101185,52.18165308207804,54.602427068577704,55.72882096522948,56.05516792789781,61.73926623525619,58.77508965900921,62.672455810569,60.05957314221624,58.912760786348414,57.376254868487926,54.31158742705249,53.60494943159503,50.89332977173871,47.5774571495626,49.66474302789982,51.68219446025885,54.906012891720465,54.76144325612577,60.19199342517533,58.55993717406248,62.36943618159235,60.315014543933835,59.39679764081425,55.15803297561409,57.06077978957378,53.057429928424185,54.84291446814642,52.679043509965965,54.85784325692899,53.648289654261355,51.788802558975654,51.221198905057854,48.28810824599959,46.79741247060434,42.838516177880024,43.77273555448638,40.08099296776189,37.478369249371895,40.72014957031277,37.86946972023406,37.99570017348377,38.296900403272545,36.17856822796567,38.84724087766808,36.12626984413889,38.99124040467895,36.36639503474633,41.576228145525306,43.47261342824781,41.06171075455989,40.10436366161601,35.382890446176575,35.00940104613122,35.256833420269686,32.43686216432993,33.87983690668978,33.67530928046708,34.051303655300536,37.29505389753471,32.513406199173396,35.886005881823735,35.03546674124864,39.404875571559245,34.132600987225196,33.852825149898855,28.767322307222727,29.202020289850736,28.80742244524676,32.54915134202471,31.243768299477342,35.04726298786138,37.781809730139386,36.739962497265935,39.75308716105351,42.0164381625069,39.33059868468563,41.39546969934141,41.35336413233526,41.928431987622886,43.345450891721455,46.118297178766525,49.814599806435616,52.06534718952693,52.90822348964362,51.540779589359836,48.68854901740808,47.29132377765945,46.9910058691485,43.55561174641712,40.04413446273832,43.27133382957107,38.03282833368253,42.05273183462584,38.47485735313947,33.16342277292668,33.78670608476782,31.905410910402637,28.97935762901106,28.460436560140472,30.569934610646172,32.61225734111373,37.333193439521224,40.94481738477654,44.26768100778556,46.96337543012443,48.041725201664974,52.06427651863912,49.05365662863576,48.93104363072622,45.00291251176288,42.42815956430249,42.379380039457466,42.13646644457989,39.964570359922575,43.388461302008686,43.935564570075854,45.363451232061635,41.016115939251996,41.10334734584843,39.27920463962322,39.15325275652221,36.24175086301393,34.524450322582936,34.14519975159721,32.534662914215495,29.909862056864135,32.379669406304615,30.77474777865648,34.073292782706645,35.29595715127576,38.055702185215026,35.165149493756196,32.33016569045449,36.28135788368807,36.24708993578354,30.384103091987388,33.09106357054868,38.60726593482761,34.88920743156713,33.15175298413418,36.625867095053025,38.10041296950715,34.175602280085776,34.40989234494361,31.37477202783998,36.31185939702086,29.460877541899645,32.109896537277876,36.000596658552006,37.27672230106511,41.36615856787352,40.94155791888094,43.71465630303437,42.04961207886892,44.60297025963124,43.88822908028596,44.68021179988397,41.95345494037018,37.79711656073782,40.18698708158222,39.5527221606237,35.19503598821662,34.72819167483821,36.344684021389995,32.605022049609154,29.7295786218164,30.75186009982451,31.38978839114167,36.68198548721292,39.43331847714379,40.98921218025921,44.92304073079433,48.65900742977287,47.968190074075494,43.09675967624425,45.624512816908485,48.63823168821578,44.7648705592602,42.32105981485037,46.257275275566634,46.286086459267956,42.14737752388213,44.72136393178168,47.20420992983269,44.568182260310316,42.60379810360315,45.10064955636718,42.07177603643845,43.796843835813455,42.70010925094758,43.410604314516284,41.77904301764794,37.48782076606283,38.553470270414756,37.5872935778484,35.05159833898667,32.884386876670845,35.302170221844136,32.554644036984996,28.890946755258728,29.511344715154614,31.23112241871208,28.163742292523448,25.36701189376226,23.813200312423497,22.133255324413135,20.12209891589818,24.958121363404278,23.76784224246963,27.045905242449408,28.551737890314044,24.063545838441325,23.015768905271432,20.51420264073444,21.85371803638713,26.343916096692183,27.660295959402834,30.597311020059596,30.918177313194885,33.158950309260824,38.32800727018854,40.421505598577305,43.015493616243404,38.292465806367126,38.279389092218494,42.54208725352753,41.02588266270892,37.2552169736033,40.35582563813039,44.45404797083608,45.19959557839599,47.15732300269082,48.01646503680009],[31.891756674685983,28.961030111124757,26.834953505271965,24.517114202221855,24.361601043689493,30.521369138919376,31.562101205367288,35.85174433679619,37.05062293500852,36.81131289072286,40.42964412313384,43.15184355014151,40.09590050300359,39.14377170891307,43.997066897913435,44.14279219232838,40.345225576164744,43.53537643612575,43.06743942803043,44.23077811559544,45.8931216921095,47.45360429315218,47.35919154988593,44.520402488882816,42.57621853237252,40.84728425759816,39.52316767245715,38.4105527017801,41.82906498751958,43.29125268997609,48.65177820100157,47.97140946468967,52.45977901916736,54.7447285416679,51.02945975022703,47.89643304779112,46.643873796866444,44.045110347917536,41.40057211906102,44.55858448377599,40.26909606986504,43.75542784199407,47.07135674764905,44.97252041285875,43.90423497657477,41.18081678671726,44.44143260524069,46.609597081263146,42.836501626203464,44.68505928551075,49.22747628890064,50.21357502163822,52.93169901844575,48.85803844426739,53.384146621072034,54.65357973403588,51.91396119584549,53.2776589143084,57.61131878146328,57.070474891321545,54.03420286638883,56.961152087480755,56.686308790884006,57.0919622532428,53.44600600949511,51.153377272400874,49.670489577536706,48.773432528416215,46.64299588925288,46.894739602358115,45.570239588094054,48.357256971862604,50.552437450159964,51.88269840218043,51.86643419997209,57.63949686156597,54.65230697524411,58.37990380465418,55.773575669506364,54.76695973542122,52.96984659712507,50.01938248881062,48.99448205763159,46.49959772088948,43.24981585101944,45.136781025810826,47.38765810728444,50.319697870135606,50.424609095920495,55.65916674689385,54.11537538969104,57.99945903771196,55.794203767339106,54.67462419968036,50.36914917121205,52.272400254802136,48.23092071769999,49.81071511469335,47.50666803852286,49.493100863233956,48.43675405401646,46.409331429375285,46.05550591032219,42.98124423100618,41.70191065350056,37.57900739127022,38.53934002446969,34.94876858234541,32.14621228498347,35.30326081831418,32.3552765580049,32.63883550057949,32.92578039522439,31.026225294668034,33.91011975980473,31.422635344702684,34.54246286063634,32.31306975551567,37.78715269602704,39.25635960253744,36.86692971748208,35.61354240424814,30.941562770223577,30.219745152786423,30.1537568291743,27.23843942228184,28.36931068135269,28.304178559112692,28.70221045920384,32.163176016066764,27.456339548138992,31.01514043928222,30.452660444323993,34.63602314732704,29.408060811941695,28.927307887950974,23.69535466041185,24.38607944850303,24.239299762208404,28.04312157349099,27.432595796452926,31.59906611333455,33.950170970573986,32.537033483530536,35.56044097128676,37.490518243885276,34.672035340709336,36.44306119525701,36.19126875119878,36.62115034854044,37.88332161290998,40.646804801112495,44.27839834356693,46.53338626629369,47.453574556267476,46.10458325915658,43.352059438310015,41.897079354577905,41.79098584257423,38.317470324867664,35.08282431902221,38.54627299754597,33.56378138483543,37.70246429124226,34.31212687802143,29.329123830441624,29.884009922208286,28.561206410608914,25.277681347209036,24.479862573718915,26.260088281247878,28.164327420886,32.82508168466962,36.32595328350746,39.53700153457029,42.028860223860654,43.087568087830604,47.12069573059412,44.36500094924406,44.17654904669529,40.5345382509403,37.55215543184148,37.86977210969745,37.94667127986055,35.754363902976756,39.45332810080526,40.01590782865484,41.82758635846804,37.81540247689692,37.790031158961625,36.179398389624566,35.553820786711505,32.606182831004624,30.558563065766933,30.077108464481643,28.43549381027126,25.330710214219135,27.69788670939583,25.831348492123357,28.865993532382408,30.249278752944313,32.77042360071969,29.74471540311235,27.077612701789445,31.110032962350722,30.83699926752867,24.980444489372463,27.94968564642466,33.39378781696985,29.549107972135882,28.01556233454737,31.62609613949106,32.90806368395345,29.079726498950077,29.659598101123947,26.598484125024253,31.764082035521447,25.210762929009782,27.517573584164815,31.55283357537788,33.158391287598064,37.44241507666439,37.12411251196458,39.571297230745444,37.74926498944477,40.28291465585469,39.28504402960937,40.46744810828754,37.917921767315505,33.33768503971051,35.80073693783744,35.711626371966325,31.227159142070523,30.440924944486934,32.366152899674745,29.077020992187734,25.789786051395943,26.540352086016423,26.699212876220415,31.88823387865747,34.76036915775122,36.129471901910364,39.964626831405475,43.68260275790315,42.79549509787218,37.93137077624636,40.49979165488686,43.35256362184862,39.36675268801763,37.01493518267338,40.94645111149704,40.88036600540526,36.78224025385094,39.556506067070295,41.98639850083262,39.290908347057766,37.527975633017185,40.16793895997667,37.184467937981644,38.92974481733354,37.70638194917998,38.705969260033946,37.185147296468365,32.59344857080858,33.82982738162932,33.209975708560194,30.547726730449142,28.204370043284392,31.200846367296112,28.68725063772998,24.514043304311077,25.279642304818747,27.677176796448094,24.741836553853634,21.48784291834485,19.34673715340426,18.648022032293838,16.140498160393367,21.00239522815081,19.097966823670575,22.037448907034168,23.283224057492014,18.939563586790854,17.72481755690215,15.460702667814115,16.6439511511122,21.18900865036637,22.155928741006946,25.21965900028427,25.38434275906524,27.56883421574194,32.76973705992083,34.89619609341937,37.4235237964122,32.6865534807196,32.73830299182903,36.99382196831817,35.44822689329174,31.749449559071476,34.932687018511245,39.00208678717107,39.71294211761868,41.66908770115933,42.51750254267146],[30.454031791160997,27.87012543382958,26.50416429151822,24.338672789780105,25.264865693648094,30.942180276673408,32.50372433532421,36.877727044481986,37.87804539205602,38.06882769923816,41.61689107899034,44.35512926226838,41.82798853377957,40.634297312744216,45.666357406507295,46.08786111519172,42.54080879781334,45.95600862017494,45.746747853156805,47.20895883405157,49.02116627316848,50.88246717481815,50.79764035618261,48.05938435278255,46.08576510136543,44.02969200965876,42.71960145933047,41.25128245422142,44.466781129834104,45.709642092656935,50.84356966171222,50.15824689788467,54.55431452500914,57.117776255276134,53.58330256043248,50.58887262755375,49.33467592373094,47.12879668844795,44.704668412092275,48.23186098238526,43.96509535887311,47.229109664427575,50.749860358560824,48.81957094897355,47.9362167699379,45.34799247886843,48.72395939732293,50.70972775635026,46.88277428658454,48.98452595330863,53.41420198961552,54.360046928945714,56.97713426600927,52.710133038878645,57.20737376508056,58.58177667852414,55.72369537863237,56.88953376571512,61.30290769216394,60.9401388901658,57.701366354665346,60.38859776679627,59.873001319819416,60.36933712383762,56.87177964914234,54.40823252546049,52.6294973359241,51.47468549563376,49.103006802272766,49.015553111615105,47.621984139971026,50.269010147904496,52.625029853230586,54.325277535881554,54.305358849364,60.24869629336288,57.539755941071036,61.1967891398863,58.78505122317657,58.051907360833255,56.16757844445233,53.44903051357391,52.19135738483448,49.9989986461384,46.75488598689739,48.33610543061656,50.63722033766771,53.301289031912034,53.38475639963785,58.376493602097526,56.66698280442488,60.41464730323827,57.97708158297839,56.69000785577863,52.23515998913216,53.85456973878831,49.67788814830489,51.49600259376647,49.05281379004727,50.826918836047874,50.36155025407956,48.24729311648256,48.39370664111042,45.189821030800985,44.40438699732468,39.98870920321043,40.89606003246997,37.47334257233381,34.26899529083523,37.26830611419057,34.03720209059939,34.76074414120276,34.633928739362545,33.17161337050701,35.93290106422495,33.697260204388755,37.017724103759065,35.06055241864909,40.496277436597104,41.65663210634938,39.01673666925158,37.51448250454692,32.90238121747212,32.004262009119344,31.612320837403487,29.242726077556522,29.804539138704186,30.453188923350975,31.00006609430335,34.87734218221692,30.261204539308924,33.90004883767302,33.833314895430526,37.820129214985435,32.75577898327886,31.994455574562704,26.635983628612927,27.458254388832124,27.246275804408956,31.18511617189018,30.834223468511716,35.22568040273461,37.24007708381499,35.7009553165582,38.86504281645644,40.395952595140116,37.42915919669632,38.865446942441075,38.47033985079555,38.3706621067588,39.465152778553175,41.78909475448352,45.45868313097513,47.158158490649875,48.39751551247566,47.471731679008535,44.942095995137855,43.67453443569782,43.89290526730547,40.64912970283008,37.89255204832344,41.50202895922314,36.838377481587855,41.14797125746482,38.05808381925539,33.29892550131065,33.938613396424934,32.93707685987873,29.510153129256086,28.504453749999158,30.052413698939112,31.709275125730024,36.32141122850981,39.672858527404955,42.69369265864379,44.92644274147288,45.78393938875094,49.946874010988886,47.551499363411814,47.347312607933496,44.04850751698987,40.62657083219285,41.360570472680884,41.71471265834922,39.5489981586734,43.41398292684987,43.89382301620269,45.99700230260926,42.127384687665774,42.1254679412296,40.619830555231715,39.75393321733429,36.77025585056526,34.50196729284876,33.83733092185884,31.971504776817124,28.572130372014595,30.513963980530207,28.06774673689748,30.871581841159372,31.797139051193355,34.095747337368316,31.107087223190852,28.09723862828611,31.79685521682181,31.318604665537972,25.266053819514266,27.945926724587558,33.25875891402003,29.12386047471838,27.208444722289087,30.62480237976204,31.93756977239858,27.77788865696074,27.946989756314828,25.134256580051186,30.221999370832393,23.884604532944667,26.779221400500663,30.650595690748627,32.64166722693529,36.535402397353046,36.79648355524719,39.63547277980801,38.26581550217542,41.15816881605768,40.51259258273443,41.943774112957314,39.03144214459492,34.60879620242256,37.546963008311494,37.497453738413,32.830326297150094,32.40040999512132,34.789753257222294,31.25624697716132,27.73009184784781,29.287811612179194,28.662012930929954,34.194151997514325,36.85887431734672,37.64665026336199,41.59241778854253,44.93704334795654,44.26860351117412,39.37595305707296,41.34750583699566,44.23281226137879,40.353112861817486,37.611216927824486,41.19259930158763,41.01664093720469,36.755987470828956,39.35052731184132,41.55551723013666,38.64661558675791,36.75389494530221,39.39404412227756,36.59613404520633,38.760790210057564,38.041051220643254,39.12127361530281,37.006967356953474,32.60280801707365,34.41743172027402,33.39650082533511,30.47290566063119,28.8651119283844,31.90936826982763,28.743127801565585,24.760930327603663,26.401659757653462,28.438656908867358,24.910334268801783,21.75264380629103,19.245418393127586,18.13749747632447,15.00512507639637,19.40251753026636,17.720312863772484,21.375785167136993,22.562916768165284,17.859860429367075,17.45652973464365,15.43635661242551,17.61455694440205,22.11887812681392,23.43602982313638,27.03414165666924,27.066049098843123,28.463185294391184,33.90012874896523,35.66024960551546,38.249973122043215,33.464740255760525,32.90704239208542,37.06368819406103,35.83139484174162,31.57899873478796,34.38536313983059,38.52412997291984,39.424193811700064,41.50199636832647,42.563885934588455],[35.3949238761833,32.83553245084495,31.365315218442227,29.620848121604567,30.257966939658466,36.15459901964453,37.707392289659325,42.0088582729345,43.200798838933174,43.330026954151016,46.91368649577382,49.61056354419929,46.90786409810359,45.832884991687244,50.79804054989271,51.090121661029585,47.412010394298996,50.68159935619554,50.226687497641485,51.514210299768386,53.131680919977555,54.719511971365336,54.52011153265808,51.60419973726836,49.79636283954138,48.07164479718453,46.83675816628848,45.686497117170745,49.061190596685464,50.433938966858,55.72205403812888,55.00242037980977,59.45562328836351,61.88035467065394,58.218584297582865,55.14394456803019,53.846442385928505,51.36753862868607,48.73883181042564,51.83005928611834,47.57392492013288,51.07708989974218,54.36028255904498,52.211483225259634,51.02400974865606,48.23072220309937,51.36321798644036,53.70078700915597,49.97182986441017,51.57383297909696,56.20996849356812,57.15117662450409,59.9860003305834,56.02329929443818,60.57069368964561,61.840198562695925,59.157643163985085,60.57248961138086,64.89206993739008,64.29564727573054,61.31974047681955,64.27755263301509,64.01058424539485,64.35543929440381,60.722696983467316,58.46984852385478,56.8847195483953,55.98234147276397,53.704551799916935,53.86469423600798,52.4427673268773,55.090285071711904,57.460305873611304,58.91927271660756,58.995136545511066,64.82375972084265,61.933502976925624,65.66058624761655,63.0904063980524,62.10290118883313,60.26392787469179,57.286461544249285,56.16219053013872,53.62385024709445,50.47357696690929,52.392654561263576,54.71333365266203,57.58217234725362,57.733716060468794,62.91014337221083,61.32354809077722,65.15300041772511,62.85919346525744,61.66609347986121,57.28269493751876,59.027467736531875,54.90047415398353,56.59774902499891,54.174427179080425,55.92217847843188,55.24031000392605,52.983529734620475,52.94581599512355,49.61318761291963,48.36837009694402,44.117381067334435,44.72203479435984,41.059932387727045,38.13824657967679,41.423693337547085,38.52793643419812,39.306155147181414,39.54191772526377,37.96700423268976,40.87741462414504,38.514027905136075,41.70546290530798,39.50380596922846,44.90062919361362,46.356011095917026,43.83084196713206,42.50478381646966,37.84435462078098,37.06760310869066,36.79125160593416,34.11506263753971,34.68560300750052,34.977826443233916,35.19543969939947,38.733240799705506,33.77824486719877,37.04051679922571,36.80825013096997,41.1319109384212,36.173603823887,35.92056447094396,30.565554228893884,31.616054922229946,31.549491352792913,35.365001593017276,34.73635257565113,38.84355905779094,41.25153248031404,39.872467517879315,42.908107556208115,44.78284829798245,41.92343151713053,43.54320799960327,43.13369292849158,43.308858112945764,44.2983278158276,46.85773903178494,50.36062470857965,52.25510131436472,53.55103815614322,52.47097917200526,49.937826828801406,48.460636112480934,48.65807754415445,45.124699027674446,42.16690710213776,45.77638121432057,40.87066081913376,44.98361582725597,41.5042134985619,36.53326808484051,36.85148687290336,35.32612666943343,32.02128410329111,31.577551357651018,33.29158297944749,35.385706977937005,39.952197870190915,43.43083450315469,46.65390631663127,49.0143128897221,50.170887409452185,54.116995539693185,51.46664453370247,51.12934426857544,47.535417272192376,44.39686896051809,44.54986555160647,44.53873314366764,42.566105801509906,46.430405450744516,47.18460070430125,48.78991340918963,44.74833723189041,44.5206703165798,42.643694163485996,42.18764459910246,38.99919048069371,36.93729717904182,36.17103032227086,34.103805938164356,31.28009644043892,33.181383292685595,30.996272271812668,34.30782614965282,34.841615698542476,37.623859807595714,34.967729526114866,31.57352813002522,35.1463160160961,35.266032054214584,29.311501950728747,31.461172247898492,36.946398967909936,33.36144961883245,31.17718137208554,34.352187009154335,36.1640391612106,32.15295052231438,31.743663425261115,28.79917995444066,33.375129393949976,26.449311407035744,29.583409775676444,33.23952976857159,34.53909598564201,38.269855490378966,38.184525791200116,41.376571366848324,40.15679716806871,43.03064150239071,42.79683882374041,43.648091230900036,40.49079274903726,36.67804578695463,39.51793723447915,38.712403096962106,34.208069978561106,34.24569715262314,36.28658976061672,32.12125679328942,29.0979688356888,31.1728987977219,31.1156564501806,36.90115946294106,39.32145860931978,40.356758351778886,44.48873687762587,47.8497733845217,47.573574840672435,42.65696634018452,44.55986566237173,47.77627449907683,44.16348616961251,41.25150975525709,44.92579816943669,45.03901866096651,40.753440818073635,42.924097830946856,45.35340717701515,42.772680690300994,40.44513252001736,42.749930193007856,39.78366403735047,41.72839279185397,41.099202547599255,41.65401171050565,39.513275985361425,35.595018082375724,36.96655357607184,35.48300072851214,32.842489363693716,31.35611889986387,33.511243295502744,30.147797538698963,26.89528161088662,28.17032143022926,29.317456860844086,25.72690631269182,23.19845555747063,21.704912046816077,19.318996919007176,17.269911400216444,21.737877051693562,21.266554299829178,25.039534300415525,26.959576049053506,22.344529408803027,21.670254408839444,19.01102452804327,21.087829481182684,25.443575639551877,27.530502868637054,30.8252465774057,31.47163101248535,32.96761684458657,38.23188770998859,39.873501675985295,42.79243357117433,38.15430713325996,37.448008498573536,41.71057944372192,40.8054804550364,36.54333289624359,39.086869731287926,43.32944127252791,44.38985809341656,46.54153028812393,47.61954297137052],[35.482148427398315,32.61325941208824,30.455779989112344,29.028695187593257,28.768535868525525,35.09883516621139,36.423367912861664,40.55643387377293,42.14887209210082,42.16695556364076,45.85017180753246,48.35022903743028,45.36103938301394,44.703949558013505,49.50340832472526,49.48662755895876,45.75564909176113,48.96640425028777,48.542511102311735,49.434548132370125,51.094569136253575,52.378896119759624,52.35015159083564,49.43758244880736,47.49396964685324,46.05459290524091,44.60031917148305,43.64944275132615,47.04223303825379,48.38878458124798,54.01284967362513,53.02528078801551,57.54969895576919,59.859786644350606,56.025461050966356,52.982071822611296,51.46651015742697,48.885641992494676,46.09936785052966,48.75963453224394,44.749911821822934,48.54356489667494,51.62557789953195,49.295286323516535,48.072832991595675,45.06940192197208,48.12628287396003,50.553328209612694,46.70667299959228,48.025636102053454,52.742287737706334,53.555718931810674,56.54843792527629,52.73753263360167,57.26192161382533,58.59656475996719,56.13771862677101,57.6156153298249,61.86240533198749,61.26620466764088,58.56742903921345,61.74192464205591,61.632946027637026,62.10630270584223,58.32991535876647,56.11435064678215,54.96954869078953,54.14890829890746,52.24015973248828,52.55877952858189,51.32985705475729,54.189677197514165,56.27402335553633,57.48358722664606,57.351372053448,63.02876705910977,59.8201962519401,63.48048089758973,60.68525353616909,59.44896193478615,57.49385606932646,54.282406093866854,53.14441242754856,50.34242825067846,47.35542395074896,49.54935333246148,52.033468575879496,54.96048989492811,55.389477509807286,60.66008927671781,59.355948159584706,63.37322755846496,61.21799361352212,60.036628552719286,55.76573489959377,57.76686009201195,53.748609331681386,55.02794694417777,52.595466598241195,54.27225461358854,53.20802576995876,50.757620348957104,50.4639986960027,47.00307877060877,45.28497581575828,41.23529939289772,41.627640857877296,37.79636274844188,35.19711041455435,38.69702327135932,36.18703240505993,36.90579063038754,37.647789760683914,35.9611881283788,39.20193931146439,36.832381393257016,39.97870566147072,37.79167083631327,43.322013090448685,44.820284085882875,42.57052809539029,41.28815922595776,36.65637153248749,35.78726657139471,35.50739168565159,32.26545172017869,32.84235593835179,32.59879328674096,32.47114131670339,35.6264535859557,30.461924398725554,33.454921750209714,33.05777198479321,37.569925118440416,32.735431176269785,32.919265655404,27.6244211696655,29.013211254666526,29.31765265820889,32.924302736774735,32.51355031548426,36.47238516242349,39.04106943100148,37.57960929676075,40.38837611575681,42.46649946290999,39.70470007256771,41.38810928395754,40.87058500984241,41.43284377363682,42.28490278198059,45.252500679991286,48.526631520139205,50.89619322833954,52.107513423619444,50.68235039242911,48.11869978037807,46.32730293187515,46.48922559928915,42.588809236067256,39.47222133058845,43.15595635010403,38.156601172032104,42.045325356838894,38.26969174857062,33.35726766362037,33.268644787240014,31.588749915119966,28.242309661657856,28.218605551644476,29.879054915722858,32.3377708413239,36.749119867999035,40.27233495453263,43.64039298499045,46.05626565341235,47.548597745366266,51.21460985159863,48.38221133709031,47.889968307305494,44.126442206953065,41.16601535767133,40.8920432118555,40.67390720233174,38.8648605193594,42.823463311348895,43.867393760292074,45.17642328528404,41.226076483933156,40.68920219109535,38.62062984188143,38.250068168509365,34.91523684391987,32.912281025130255,32.07566101805386,29.9482646519782,27.452844578288765,29.420756016587593,27.58476632430099,31.19954583254809,31.784938681282966,34.87489977692534,32.37833441844116,29.016902744542826,32.72700390092811,33.23833580070287,27.493006995391514,29.602125830674627,35.2358808201224,32.13012713827522,30.12840551635035,33.36805263660382,35.36986497708427,31.7242418549997,31.439836321165362,28.20839874311809,32.701018676523276,25.42882268821378,28.091069559523692,31.832420106521905,32.658061913071215,36.72198699221419,36.0643706889395,38.976183152891956,37.43601396569762,40.04269196183208,39.66496704615017,40.226730673885825,37.267426955753905,33.479893823790995,35.99832420781939,35.018774522895534,30.65857262349676,30.589780131406,32.305052859273765,28.15076517245995,25.35805291966694,27.166438971576355,27.65012162245565,33.328508647955076,35.74929299556925,37.175675846238555,41.29271956116948,44.871166511352094,44.60774406964805,39.713837314499756,41.951883540555926,45.26490461466123,41.715043057462836,38.985524768444854,42.93295150944999,43.2545075884934,39.08586541347414,41.213083969441165,43.907178841482725,41.64841325055831,39.2481687219553,41.4318571003001,38.256506220812945,39.7900692539941,38.80417631743247,39.14910056784497,37.46508970351478,33.535785321508754,34.351397361456215,33.059674478421265,30.69110445643084,28.691589023303532,30.605836222871325,27.71873332270609,24.460767364290213,25.028631453702612,26.271796855098152,23.143030058060617,20.6360402258719,19.64779222315966,17.379059976040132,16.063149769426225,20.940205611168746,20.562588390889964,23.7673295273583,26.056360271416242,21.787774225192585,20.375304344557062,17.294839047853916,18.684958831335607,22.93061387677015,25.188593572687328,28.02306238394496,29.13023210096434,31.03118197782395,36.01653522056231,37.7850009575655,40.85534634166225,36.38013289847124,35.947275246084736,40.3354217724917,39.48722622478513,35.59209381335199,38.21625329895642,42.47589447946063,43.51972512795096,45.64726911104196,46.58845915352265],[32.065608463784066,29.074601477289207,26.684153805516615,25.406395859346148,24.933670579363444,31.331420475345922,32.692867766200344,36.75919855716205,38.51173935593283,38.66944250913672,42.388037290193154,44.74549490713138,41.85577071382999,41.38590686852324,46.16578318463081,46.087230066880586,42.5034412878759,45.86610549070215,45.74640277342259,46.55191126137294,48.44924855189491,49.79890299744707,49.99406903635554,47.239865703599094,45.05271054453848,43.48242104221904,41.789425418357176,40.63525966060311,43.85700631947895,44.99687645262812,50.7231624079814,49.51924807112771,54.03553594787182,56.472248382984695,52.64710841753555,49.740660516769886,48.05756706097243,45.7449167443119,43.04955500275894,45.8179173454674,42.003379183137106,45.80129054056539,48.97896956296019,46.702496891414526,45.735148514844106,42.74547226679968,45.97315143303853,48.15928577437319,44.10640977219651,45.65483131061962,50.26449731824544,50.95692058564456,53.89487360252989,49.898235396499864,54.39149407955548,55.900917248797136,53.43983330404304,54.714976070787486,59.0164207008761,58.65872624045067,55.91327074191903,58.98928154072884,58.73526937472758,59.46086966342202,55.71084415060347,53.302587980598105,52.26458481642666,51.22854349739417,49.457860718567254,49.60037442766332,48.52189410996225,51.503607322316626,53.408391784846685,54.73139438927167,54.35942052157484,60.06674515158296,56.832856335385344,60.36645258026028,57.56902336066449,56.4154329111243,54.28172285820186,51.1407764550803,49.78520820471,47.121482900511396,44.20028262419375,46.26955331201671,48.91815217952933,51.641614784756754,52.257956760474414,57.38727084699626,56.164585067726385,60.23209246630032,57.99204917659327,56.680133381827225,52.3860558479711,54.39953717687175,50.37725182336151,51.48104703851807,48.958114129151,50.488975511061916,49.50529920002484,46.92405573870891,46.763052972431986,43.193814099599614,41.58738776540893,37.44171781753438,37.81962425109027,34.04410420339144,31.325454264932137,34.79253630777795,32.259625687609145,33.1083224520065,33.89534893538308,32.37684985045489,35.78679622517482,33.60155123980526,36.89584109374624,34.99410763826947,40.66761618136354,41.87679376636317,39.678080420229755,38.209890319928355,33.65391226690384,32.54262534963882,32.03644861804314,28.692977571967393,29.004425301471755,28.810025300117793,28.640163632757606,31.910196384536764,26.769156153476747,29.859051095688834,29.674998122437266,34.06913433473075,29.298184600523776,29.396166394038616,24.02066246920729,25.666600931673774,26.201530848034288,29.78580280835348,29.88309206405124,34.033063653468204,36.339437623174554,34.630104471416935,37.40705593367342,39.26148959280252,36.43177090568218,37.90299666533528,37.223644890923964,37.71354198924947,38.42939118169028,41.418533094147996,44.61443969662947,47.01994701849828,48.279649368854166,46.84399771147194,44.35856342478531,42.501215947708836,42.80236611426533,38.849957510988276,35.93365368499176,39.78048519988762,34.97749274629055,38.909050777907375,35.25314460385828,30.606688981066547,30.42393429365556,29.132191696239023,25.543938544643908,25.38091750220016,26.777806339603064,29.170453950317917,33.49463641606381,36.92980782557471,40.22131857380537,42.488880923708514,43.99453035570977,47.63586650897329,44.97474111787525,44.42293764625622,40.856829511631275,37.62384165601234,37.57250868077867,37.567510530706926,35.764072439505476,39.91690841918997,40.99091032279549,42.54047522941327,38.845620828930315,38.2113602422613,36.288248615835194,35.574679894115796,32.20408299372712,29.96591929310769,29.040698959632365,26.8698549072633,24.04570287422436,25.921673695941575,23.894747854471774,27.37147986850369,28.054923545318903,31.016700652560676,28.44363837970184,25.167377979463918,28.958595526269995,29.34892548543981,23.615464765959743,25.890767530084936,31.51140968011534,28.36747160970087,26.514279189645364,29.860812782155534,31.756519706621496,28.21949395998257,28.17836244121469,24.888160496553148,29.547201747480003,22.429278086818798,24.80239903435451,28.68118778440846,29.723414963355925,33.98635207667127,33.36687900801851,36.01597988906772,34.316911952767164,36.898803478192626,36.28960973966475,37.13002148953086,34.31348131227406,30.178625423360643,32.74323383474632,32.16913000966402,27.695027200796535,27.3701247564972,29.314375716589094,25.492058762179155,22.362357956921986,23.97184605642142,24.12207064439919,29.76032804169737,32.274540020157914,33.59355842293231,37.653399812013824,41.2434201432825,40.83818193767957,35.93840831093903,38.235297864069906,41.450871414055634,37.81929810549461,35.159132556642184,39.134992979195474,39.40868685853112,35.27094976716393,37.539581208297406,40.22393404076788,37.948277460741274,35.67928512083626,37.96191725612097,34.79273973356582,36.311328203917185,35.19845548267004,35.744118308313325,34.17393243351774,30.000626130214354,30.89934993645865,29.88022217955844,27.422570579578537,25.22992013163827,27.58704229929973,24.90461362172321,21.210005945139116,21.83769007417966,23.649508459189015,20.64222873259843,17.72068482554772,16.309814652161887,14.818599378256444,13.174110350746847,18.166306157123135,17.28026747093216,20.185802740445354,22.382503346426315,18.272341972683147,16.62739499606826,13.584218085224055,14.807121562986302,19.105192304093716,21.220943444316966,24.1034865494221,25.196736634939263,27.06422276156819,32.04047879957322,33.83189904616579,36.88961210049146,32.42407028325178,32.04116572234954,36.43839789942364,35.59844638859969,31.785122527282976,34.452099523081756,38.69234852496666,39.716777284110215,41.85002239853661,42.77747058833192],[29.625642303805375,26.396751497905115,23.478133838307503,22.089713890075725,20.90365603790022,27.505135837708316,28.58857480604118,32.55821330244218,34.464343933656664,34.509494428303434,38.26085398518979,40.5097902695377,37.47571869851597,37.238954404795294,41.907413135389994,41.67929491021895,38.12600595172476,41.5131830598123,41.55958490176346,42.19435736556416,44.24058908945377,45.56117772124959,45.94764469232697,43.32676583540066,40.93612918451428,39.347320605410694,37.45100042275903,36.238279478195736,39.37435796079858,40.43362792594998,46.28852589519246,44.947534215949254,49.480884059427396,51.89871075714623,48.03349076187279,45.18304178591321,43.39772331649344,41.16353810207015,38.49176440325749,41.274889526217386,37.602281991951095,41.43295409021828,44.63683589160837,42.38773197817446,41.61223803432189,38.641281505386395,41.99688326369428,43.97988419026403,39.787029443162375,41.52847088701398,46.03707909018255,46.66789023019786,49.54055099279361,45.42233855415961,49.88510386350218,51.492137418634606,49.03617207853129,50.18946186161764,54.51252480566623,54.30228611327888,51.54880318000021,54.58585361476896,54.27662228279209,55.17690822674334,51.42219637113568,48.90634326933088,48.03942864744483,46.90722838473233,45.339241030623434,45.45184865510214,44.531978565908574,47.65453395020166,49.338896927321876,50.62105822817407,50.05522931331449,55.7178278814328,52.3880185205796,55.840870212418295,52.99789617093705,51.844514673789476,49.62042558000279,46.49565788557633,45.069676119100414,42.459493560387415,39.55472085856307,41.58223801448404,44.31228156778933,46.96150228293516,47.69878372693683,52.787055224738005,51.6690188868599,55.806444216912155,53.586546484140975,52.24460973274612,48.000042815114575,50.12473887350015,46.1671082509374,47.05878066160087,44.54734465639701,46.09891921752868,44.92620793803767,42.355057366672796,42.074624215695934,38.54961233663833,36.909773761602146,32.80263547267404,33.31732410222966,29.572422283161924,26.899662707147,30.32574462537301,27.821991319273256,28.4897580565666,29.427129990617694,27.836167286352932,31.38803297469731,29.26713507361402,32.58646683365724,30.858411244065348,36.629880884886184,37.68153461370448,35.63369666161978,34.11169344505303,29.640487291511963,28.401302959184815,27.859274300157296,24.242005580223665,24.65883961986913,24.199222873655085,24.019497667122675,27.25019159307823,22.196451052921912,25.461166323859526,25.202663428552025,29.496335547113,24.639831119158746,24.65911865857837,19.293480171540374,21.026831324175177,21.775350513804447,25.26279899358525,25.743259932155247,29.967671260770768,32.104236354252485,30.225106484421563,32.9210969878877,34.701542327520144,31.877970105709764,33.302783982321806,32.58474314892639,33.2251852568158,33.968184562809014,37.13042225663176,40.30198826728056,42.96236208667777,44.057300658545564,42.43949251405528,39.89210781593591,37.95916516523472,38.18699599930802,34.171701549498955,31.209435808774952,35.09451168241165,30.361252125095472,34.281658118275224,30.687426371053235,26.225986071664614,26.012505643469634,25.040825338988505,21.314187815512867,20.978755092109438,22.21007050488028,24.544232063754627,28.82360829949798,32.22603178233927,35.49364735907116,37.75053145470383,39.27415868098581,42.898823773427345,40.250726264791446,39.71102883102502,36.20239788982419,32.91735326606905,33.00231192214081,33.12963438997049,31.24769361773632,35.44875986780913,36.498261875490755,38.231454389385554,34.71970163145899,34.07551375580848,32.337669527665604,31.357927229056287,28.06566332231095,25.70320012071168,24.85752117863115,22.875685305566797,19.744494942950578,21.838927565954197,19.941702677491705,23.233021966756795,24.448374492781248,27.236072224419253,24.45642967364971,21.6509126559859,25.730099622037535,25.90382613373598,20.329203329593582,23.101518904722774,28.64210221442272,25.453601501949013,24.07431320270594,27.648253906336507,29.22018999885196,25.940210791056526,26.5281190424747,23.19779509796646,28.11316697843792,21.424190435018083,23.08424042659484,27.148814185674727,28.38355747930808,32.97107884413704,32.20995498483495,34.2916797110354,32.19206107006373,34.52793372602734,33.39191489022301,34.504790913348586,32.12555786694052,27.453017750817132,29.773717199510585,29.77346305532256,25.328887140121353,24.399097970285247,26.33845082127721,23.230653762555896,19.861610432751107,20.520436021378828,20.68842996055594,25.925108695096373,28.728958231507853,30.220002643664387,34.076037250926866,37.87452647076833,37.08626254172238,32.22498659010853,34.93594509641562,37.91592986131872,34.07123244911573,31.774062562038004,35.91246142507628,36.09798172579667,32.11253938256982,34.73546831056969,37.42887368040143,35.146889394400134,33.2347309996862,35.69620837094786,32.53083399356612,33.87629202737351,32.36049094519518,33.20651824489029,32.0828416905729,27.488058977941797,28.27461913926345,27.890819906820834,25.452724191066224,22.66431411528337,25.64079137179702,23.638775421361412,19.322916566803315,19.56949187186401,22.34748654124799,19.92132706594832,16.525554621034225,14.654007230688272,14.670777204885184,12.841239115698654,17.758272781409392,15.92079768533248,17.983118319475352,19.762594582983528,16.10191564828504,13.934867411990288,11.21889028984036,11.514640239848113,15.829976938488304,17.21017726081692,19.880486678557595,20.804878445285567,23.095640690469477,27.96173985176441,30.031160588216952,32.899160874623526,28.43152551576057,28.508086497921752,32.89914976314628,31.76137036618407,28.359001906720206,31.350863540576096,35.46364453042117,36.297755359918774,38.32396141524659,39.11286109817239],[32.905364993006906,29.726436731576975,26.708737112576493,26.244066739309968,24.85712687755364,31.514480316816044,32.79734497118067,36.51832627100499,38.83570919997266,39.09151864917563,42.874518433829365,44.86078538692595,41.86638928004473,41.97624601463244,46.51897318743266,46.08549654539273,42.62034209538201,45.98170790060832,46.0757399415087,46.38414655972933,48.42573360021282,49.4291638792184,49.9162544035316,47.251284325353886,44.843307976887495,43.58040391591807,41.5399042103413,40.525546296776646,43.60611217122811,44.53909367154246,50.651038910896624,48.979237434729484,53.52243647463936,55.928757646804485,51.94583697036251,49.21296658120934,47.148411601763776,44.94100855713423,42.13613597693975,44.33708315062982,41.023572232784424,45.16332793319597,48.08678896811443,45.6045958583316,44.70132163886135,41.45287078982364,44.58552533580548,46.792788874413894,42.5274116199523,43.705378553665035,48.35367649016362,48.772362659115,51.92052274276274,48.09903483740312,52.52728249210545,54.212787391522774,52.07969499028555,53.33113579040458,57.54070901493473,57.29880427415513,54.93062223604037,58.217222646908496,58.086596190610024,59.0867686080139,55.20334690485705,52.770654272908494,52.31048450177136,51.26370099089678,49.97714176840622,50.17686233036266,49.384058640506794,52.59815569117782,54.11588764489627,55.240397427800495,54.525123234526866,60.03958772461345,56.46184085938876,59.81363120460084,56.76545542870275,55.36010802502753,52.96649159804698,49.57202747055442,48.03367030364296,45.10401380361329,42.51864727541234,44.87142461251062,47.83832004299842,50.46189935854168,51.56387923589445,56.66270990036253,55.83445477961682,60.108956841918705,57.972279081772975,56.58005219620465,52.41811177127088,54.66869109229045,50.778438485973176,51.305155002636305,48.69266778266997,49.923798454175206,48.67604952023995,45.68274567237283,45.41344542396322,41.523657400865524,39.371581134811834,35.44052312955916,35.32368461027129,31.349414775489837,29.00999376549782,32.77396588697568,30.845567601701514,31.91520723478215,33.373718648549776,31.990548951003948,35.86267048077011,33.87531495803433,37.15656552506821,35.4804266226963,41.25890214077828,42.33817033917582,40.48230871526465,38.96425155281701,34.584439028439306,33.23389079902069,32.52254698076869,28.595811127595514,28.493702726720553,27.761440780611483,26.989287623023873,29.744660720023216,24.294379217618303,26.81271080884299,26.711833048526653,31.310397240167436,26.989615445899332,27.780949028801004,22.550664545152763,24.954166884997676,26.140659903633527,29.32781738410367,29.99455453269254,33.93492165709898,36.27333851266873,34.36529182326499,36.78120806758219,38.71307007852083,36.001656368794066,37.336327927027426,36.35744071432203,37.18988266526529,37.50326883278834,40.89879009417971,43.64146124909836,46.483447791149516,47.82525150667905,46.07864220970823,43.73367969633712,41.43867363468298,41.914230503464275,37.46782388647117,34.64042809214949,38.69276229512632,34.00224354350698,37.57816654828309,33.60749968706973,29.316428400702513,28.385196586091226,27.064087683284935,23.33559495667674,23.879805443307422,24.940780498709294,27.838087433322304,31.742581311053485,35.11452258129259,38.51531792795658,40.67410796005671,42.671173375601136,45.841788691301694,43.11770028864215,42.24751844690608,38.63809408801126,35.44124996148078,34.84336660915064,34.63923222032707,33.20972523166809,37.65221555495114,39.22548234683276,40.40941372162273,37.037514327096055,35.82164547164472,33.616613381668245,32.884946759047004,29.2015940046276,26.912256318394235,25.67219513328842,23.16655724384692,20.836421661870318,22.440822906273013,20.70011428600651,24.629194279400124,24.981372983843357,28.40774748612321,26.275451794202603,22.812812153447005,26.51407289368638,27.600363615548947,22.33709138454944,24.137997368932083,29.816951046115143,27.548109281678414,25.78533266240262,28.947598848472293,31.24050663806935,28.282411134111122,28.070917878722412,24.56187222712985,28.721833918377254,21.33115325195762,23.145679061888526,26.89787265039759,27.19887177156354,31.68871930777535,30.399125871453933,32.81634435248499,30.8822074335934,33.202723875148216,32.63758242197383,33.04854858099658,30.323244197623737,26.454798081637048,28.731859935990975,27.782316145525883,23.489202054714237,23.27614191412452,24.910635601229746,20.882552217472217,18.07690796993744,19.85141527150253,20.518057298103887,26.198356269775765,28.49761412132889,30.141395802597653,34.25390329911231,37.949278896679324,37.79175339870634,32.950035706143616,35.394609504574554,38.834264616983134,35.4776829723003,32.87840164365491,37.06322243874136,37.68304823487228,33.70748415907517,35.65470336658593,38.65328617965193,36.90098979137271,34.37805715893705,36.342542429749194,32.957859827638124,33.95903437499712,32.579423120335164,32.70691858843279,31.57641025228581,27.672588716250758,27.845690607474104,26.854173584740458,24.82157251957898,22.230061673010905,23.994003458216785,21.80102891559382,18.441591667128876,18.192866235735465,19.82530579830099,17.400787725285664,14.766328081858209,14.405990733089018,12.846191314085376,12.669886249045941,17.56439724412316,17.323398697748416,19.410495672380257,22.275921820757613,18.893185641252703,16.486239747333318,12.970040014669909,13.266424705958903,16.968394239435895,19.75659779381769,21.957001527211432,23.944044999977976,25.95932187939509,30.42329491037801,32.125999730230724,35.52309744935375,31.43014297756449,31.09210700623274,35.567522653115184,35.13343322433801,31.680496394277863,34.10567230387774,38.346808225735806,39.481198323295445,41.641166209373345,42.48294628808446],[31.462867489005557,28.075135450419673,24.473244863003075,24.094431288587145,21.804688574984077,28.609326840562183,29.556727518919065,33.04922449383387,35.62179068598445,35.75574672457223,39.54591801851583,41.33953469099632,38.16902989599878,38.63150457634101,42.96796092949382,42.305089018535874,38.893889286403365,42.22591090948879,42.48331737963609,42.501775864870154,44.676243712989425,45.545025572593794,46.256390155743134,43.73281199917754,41.120261695560956,39.952679624663425,37.670220871115326,36.68334069276625,39.65149907990514,40.48242885778564,46.77658307870578,44.895958800627405,49.44715569293997,51.79082330513608,47.736549818710564,45.088698183175744,42.86094309194266,40.71654715538778,37.895439585481654,39.923771166351585,36.87602461760472,41.12180550612112,43.97820264341471,41.470183577430575,40.73573104438986,37.440963644875325,40.64831382446611,42.694248768493516,38.26500499790463,39.50436431362202,44.08129916578986,44.388521943980834,47.52994397343891,43.66064775542143,48.03104213531574,49.83166789735323,47.80324040070509,48.95466721941395,53.138253716722595,53.035788981030656,50.76020127847454,54.07049192055922,53.93898627176439,55.13463104753883,51.221610093991416,48.71461774920683,48.55199339784986,47.454609948348576,46.47774216023832,46.69450600865922,46.109238908913554,49.47444230461825,50.70446892990205,51.71371432780147,50.76489789890314,56.159716645572445,52.417857496832525,55.65683949529233,52.5083770814059,51.02547782163472,48.511127803847224,45.06083260023948,43.443397858594345,40.46977485111707,37.987908386821246,40.39935274698399,43.49683351089237,46.050825795639255,47.36363099472789,52.42637965324378,51.7906455764575,56.164184774009996,54.097129209282286,52.68600050116823,48.630122326702285,51.03856817207228,47.27176604832451,47.46847525350729,44.877557870178464,46.081103698736335,44.552314520195914,41.50278027081699,41.045357301604426,37.15015530115041,34.77706161305079,30.978703418547443,30.866181915884763,26.849020108526076,24.722742005568957,28.535757359919067,26.853101462836392,27.757720421507035,29.56486951330167,28.124686490270044,32.20157111032165,30.322390271195147,33.55474827854215,32.0777201067411,37.89582115953735,38.82942972758403,37.22435299980142,35.69277757898034,31.48541184608326,30.011479579061543,29.264740047016446,24.965745167251743,24.898013584294176,23.702210621663244,22.717642796001712,25.197485560984425,19.725834806945592,22.212364659753064,21.988582340794643,26.599610675878335,22.314366992185175,23.300054548265095,18.196322270731567,20.909251126756303,22.49155229041386,25.38426362376901,26.51402457332234,30.373609416620482,32.57984623724601,30.50735646448932,32.715494478638625,34.6279634922041,31.995122312208277,33.2772756731112,32.21084309828451,33.316201529275226,33.56980080999707,37.23579927798348,39.83282336310785,43.03776338688136,44.20802336120899,42.19916509966213,39.819350932945746,37.350490961770106,37.76197042610759,33.13786549369973,30.25323199754547,34.35318176294366,29.751998360027773,33.17756175208111,29.161864549007966,25.14650600214339,23.942790915769248,22.882410510937593,18.99509611422073,19.660386903667042,20.46245172050029,23.490950008355615,27.204004401275895,30.53213909082444,33.953523238166184,36.098884309211236,38.24982674732157,41.26865329407976,38.50457981376357,37.5721349291704,33.96229162558148,30.784592352376162,30.111927820682123,29.942190115996965,28.538216027761525,33.08889904353925,34.77961999919841,36.00253055714356,32.86662303049727,31.490949394613647,29.37466639699011,28.412145240619267,24.69805615790513,22.282545127820402,21.032352800857623,18.608909331992948,16.163058874365994,17.986326335992977,16.58076091990653,20.517075668868017,21.363599642788365,24.766158841377123,22.57043663928527,19.592957729150655,23.551250004693628,24.620580947667026,19.746673733148025,21.885095752955245,27.430567030814284,25.375568440595533,24.13042130794486,27.423356047075735,29.461296359515327,26.916490064294866,27.265721759233283,23.737966588036276,27.972045079880722,21.067490822716493,22.022079798665494,25.870015576336083,26.18158608305603,30.993919643572287,29.4252142207007,31.182750864934572,28.767192829528028,30.732523970551505,29.606939720172427,30.162904848427093,27.95799611058398,23.592572693005067,25.47325807327721,25.026206131688145,20.84652632353971,19.95946610279459,21.43241924734945,18.16528209430584,15.231902963802185,15.83623897893816,16.855547758333334,22.08301290048711,24.6588676282661,26.64792547571028,30.55320565403876,34.523820967049055,34.02041523870529,29.24056431566056,32.192259351788735,35.43996694634582,31.940846160181803,29.762002751266643,34.15982076181527,34.77703941203295,31.02649621049292,33.24001415847363,36.307781760548686,34.68362959753057,32.478468018928005,34.53133634126724,31.124567590903663,31.81096691167803,29.94419662300724,30.266201380215918,29.732852248586457,25.497240050260366,25.328614767739502,25.03380306316886,23.165212739513674,19.836482258195225,22.063599964562226,20.78849756330665,16.922777701943115,15.933282862792833,18.57911819981087,17.02001793382866,14.051634044221007,13.522629721422211,13.550121175034308,13.472795543932529,18.05920023875893,17.078887556874108,18.119861703948,20.676658919569864,17.99042564114481,15.021396390656847,11.857658243719115,10.862137398467244,14.190830291202346,16.375795956479674,18.013102211667995,20.13297335028637,22.646599266129815,26.779608339836958,28.744426113310478,32.016269723819505,28.05727401669842,28.215866782993988,32.658889797460255,32.01838639128537,29.113988086530355,31.777553513160754,35.84939958922968,36.81126732860143,38.84265615702259,39.516790058878684],[34.482275594897644,31.094370159523518,27.620672361493114,26.31380400230486,24.04926582763388,30.849719839119444,31.333380020917343,35.01855806744088,37.15965454001211,36.706778760188804,40.440057265753325,42.597570105693094,38.963413265761034,39.06515604428712,43.3848090905457,42.78078887391981,38.960423184734076,41.93109758987159,41.55607634543209,41.7044405793168,43.44170395140517,44.20683176562984,44.53947515153306,41.750726650109684,39.505625414664095,38.54941466305476,36.6899110311756,36.122645680745705,39.50053874032018,40.8555003277003,46.94940350089436,45.60719505036925,50.199020094035994,52.18564122528835,48.09392596995207,45.09201623568862,43.29849577385888,40.487666684225395,37.471927182793834,39.44206242673914,35.86098231159228,40.06999220380889,42.818611096383556,40.25452273280895,39.09682491684618,35.83844403487286,38.865988069188376,41.26036026274414,37.2001305128479,38.26683207390955,43.01198283519216,43.65559097295454,46.7836046680107,43.13385713588775,47.59682368427804,49.02046340450324,46.87204985269865,48.3932557348765,52.517059010336,51.97390353585052,49.667568876919624,53.12287957505645,53.24416409273074,53.96383858590017,49.99405234598488,47.82343458036913,47.45843249831938,46.777266555629026,45.585734165332106,46.20843943576685,45.37536533419147,48.60357957041465,50.07884199356311,50.79655004936742,50.27998104788484,55.602995577471056,51.88182526909842,55.4038281738883,52.26791394596094,50.64728000637199,48.5627601080592,45.029850137592625,43.971653456202134,40.7963458648608,38.01211653729505,40.61093872700248,43.26944370841373,46.31224930087693,47.12946006515171,52.53243633079912,51.703677608881286,55.99486499624207,54.14476253446025,53.05879973808833,49.09018771392681,51.56242990231009,47.84888338261413,48.39442738348124,46.09702764734077,47.84158447805752,45.90011124768341,43.39633400799527,42.424680595367136,39.049767973577296,36.54496538616999,33.02641141059111,33.38502664863179,29.38487721156838,27.537970354454856,31.205685010475623,29.37156352684993,29.51245155180689,31.12486443998727,29.033525169439777,32.674170810755705,30.28474428801518,33.173103185728394,31.069024313094825,36.68517114513468,38.21398007880264,36.57934709095511,35.47304084427285,31.081607283816993,30.154470433640874,30.05732144954551,25.851415986076784,26.901671950373572,25.400504704390798,24.811059449107844,27.094182433368175,21.903698792554767,24.607426528558218,23.533832692322203,28.23282906259507,23.413440860825425,24.236236936341474,19.381010818460105,21.050456948444424,21.987725533463976,25.000576986177933,25.034911319427554,28.614174096311007,31.331877258006088,29.74145367023984,32.065930380307606,34.492600161838034,32.00547422375882,33.882366853848495,33.3397030463793,34.744558730120374,35.59254804204319,39.283694405074826,42.239080169518076,45.556113279886176,46.305088976053824,44.169050748128925,41.42714128939422,39.208061136121025,39.042096418060474,34.681542439949276,31.10733626092116,34.7094942748743,29.577730503082233,33.01831283696716,28.837563857032688,24.102937065612515,23.42923590685354,21.646780449870665,18.243760079581577,18.794264910058068,20.37535070434622,23.345472681117187,27.460826117570143,31.04420643047536,34.61359346129047,37.21734493834623,39.1582529165177,42.403573044329555,39.1998810257038,38.587427799789786,34.513910384763264,32.052218373075824,31.167635915033827,30.65695300079054,28.931432239346204,32.88440333603306,34.25855950384735,35.241522709424835,31.51512245528995,30.613856002067102,28.45652867709806,28.08189727007624,24.679857605052145,22.8019640434521,22.12832655881022,20.35322298772592,18.276997200059522,20.880552863948623,20.151120904463617,23.91835441240392,25.418652177501883,28.657286769286788,26.18144626993815,23.741140995188942,27.900510950880783,28.6391802607956,23.685654826547996,26.294050451784116,31.78362976843572,29.30812290025211,28.23507718028688,31.717023187189366,33.42334994396294,30.61546380384869,31.286879586977104,27.83699496333509,32.3961577807075,25.533393203631764,26.66733453770041,30.594483727243464,31.023064564030104,35.77847209172219,34.23186190162353,35.98448015482672,33.48185015291449,35.28942498812263,33.97252357712879,34.39226544600639,32.41543974443244,28.05073200013469,29.586514173457267,29.072718766436704,25.13662017509259,24.024174725219687,24.98349064167503,21.938607355537066,19.426573623859003,19.132859382992514,20.905951403721502,25.564429022141887,28.397552130858823,30.77650338662121,34.48160847214385,38.6682096623812,37.852730275003175,33.15100755965523,36.475389471849034,39.519828411135556,35.80806191061029,33.95243561062467,38.40571678410215,38.85811984576112,35.16306194140415,37.677832682152115,40.64792082875163,38.802408025699144,36.87137332595471,39.10030243331661,35.75294971952086,36.492482982405015,34.502569494628716,34.93965962712564,34.52609404507085,30.156069019355044,29.987638793985177,29.84484155807024,27.976307363227335,24.537863276115687,26.77891029382618,25.580460483161417,21.725001189207198,20.61063309765556,23.16468981348713,21.642800588055522,18.76260486760724,18.085141554622957,17.834398270571327,17.325863551546863,22.205335237585516,20.879197399636613,22.260306927584864,24.286284397470794,21.199179477660962,18.523348999527226,15.66709429238052,14.824930556843084,18.460798037168374,19.758741417684494,21.299015471625093,22.73664289498193,25.83827356739379,30.06267705088622,32.39787312422216,35.25582186292355,31.108322676506628,31.764280710282392,36.140151784865736,34.86844007989994,32.15337099058591,35.2867011673838,39.25132497970214,39.94295554807775,41.81603887845701,42.36261620890797],[30.74499208784493,27.245826377468248,23.449302494187343,21.898145511450853,19.03656776913827,25.825534369391857,26.02411438397777,29.62907313491656,31.80611992143952,31.2901109816621,35.02746277628546,37.10499989360891,33.449445535814334,33.700426376325105,37.96442456746924,37.30856175105232,33.58715672763781,36.69213262067211,36.63092646650734,36.7499535901972,38.762899240847794,39.70472611517413,40.27684822245458,37.71552744488348,35.17218943495342,33.959703455932654,31.850107643596047,31.002928596574897,34.21703739653464,35.41564077460477,41.55507013862034,40.105923517334006,44.69512477746986,46.77724766322402,42.719013886124685,39.80534862712219,37.93535490665292,35.36886138361169,32.49078861017387,34.81824181404088,31.324534109228253,35.421241459163234,38.39028629738362,35.99561836345746,35.22072025306437,32.114503847746484,35.464559026821284,37.43144434413428,33.144485462142065,34.77928958027988,39.3088741347028,39.91129606340687,42.83316630193462,38.821899069620194,43.261113203154366,44.85249932594256,42.555572819430694,43.7985698667731,48.03670755308689,47.784350506115004,45.25520341715225,48.49735226248543,48.39132453921986,49.360928889656115,45.47039545199331,43.0480056431048,42.67934323079242,41.7383303196025,40.649887570129394,41.07982481955829,40.39841505705444,43.73358300455088,45.029222556913034,45.88208096671736,45.14122074700141,50.528517004636456,46.84591144996725,50.268236030159606,47.194739010465,45.751532234273625,43.5408010975995,40.18578104834217,38.95127340871947,36.05130966846424,33.186267699437416,35.52419113894395,38.26984720443611,41.11999724841964,42.002165452396916,47.269423546497656,46.43619143331599,50.74454784839309,48.801137884910595,47.618625198284306,43.627875906934975,46.11199423454416,42.414477377522495,42.85647040775334,40.54428774555256,42.31634261671655,40.35972977439093,37.936377305106916,36.988574090961635,33.706079245254486,31.472569831040772,27.826382899502327,28.53162685782424,24.693919497240454,22.683319534666957,26.142388784129068,24.115954027771412,24.027321203336875,25.595235834288903,23.478413977284923,27.203841861367664,24.94959163655496,27.956034600931783,26.171494926138728,31.927016642748473,33.12075412900405,31.552007751775207,30.2852835187293,26.014434734199384,24.888096935764953,24.693091684824797,20.34239797848778,21.522606975553003,19.90266973573756,19.49991262047045,21.98838368233293,17.05015341777614,20.28053158979387,19.23328556101183,23.63997241630382,18.539440458606308,18.91668033003731,13.933613911472147,15.607910453778514,16.77617141419899,19.773118472210342,20.43568057394856,24.323009325738067,26.618078873711983,24.725864728541207,27.084681283157245,29.22882439928096,26.648616697910334,28.377260501112737,27.795725679346983,29.190660713996838,30.126785485417923,33.84340999622359,36.87827515066752,40.28205274502983,40.87199679076866,38.679806154797866,35.88340551085962,33.7171159943224,33.502973232811996,29.232889129816115,25.70239210874126,29.39902512638945,24.42933180839416,28.05705887402138,24.164837989333968,19.690888863522527,19.234091942966344,18.227077322561062,14.477934474731278,14.33227434852718,15.633576853034306,18.295344842124845,22.503430724812922,26.026830542549305,29.48133899122248,32.01344206732633,33.78302882822306,37.19700339499126,34.162778933519206,33.65369171575697,29.804461100394587,27.035629116113487,26.72048852962546,26.628941788121566,24.646277463198665,28.706319910448347,29.858142449394602,31.41395737580075,27.958228158887156,27.230141673545955,25.549670593466058,24.56300915658501,21.379564576736385,19.165945365306296,18.6647618800143,17.263135819899826,14.309964185175529,17.23805622173412,16.47603156074575,19.658515956578455,21.940862749292542,24.65771905767304,21.793002542602146,20.104819369745396,24.510795832712354,24.685256693303884,19.969784959711742,23.22009429123693,28.4035221992647,25.652365252286252,25.147064242638894,28.820003407400456,29.97602137609485,27.386682632149675,28.782555155088314,25.49383137101058,30.328424441465625,24.310706510449858,24.795406511631075,28.837183342555193,29.80727715294703,34.73478208777169,33.39689741625753,34.564787443550294,31.774551674023325,33.427434972577664,31.48797939792383,32.533733987063776,31.033451033049907,25.93594483430852,27.36065946538481,27.85412781981288,23.892545190523112,22.01209187020046,23.245270195694097,21.344595778605477,18.339392364993024,16.822737511833573,18.107854577686144,22.122949697205996,25.37406952658923,27.67048917766944,31.059287033228905,35.361108918653,33.987889564344215,29.34909857159255,33.01383574410218,35.63898131984014,31.60373619124283,30.162264926678578,34.636610334623825,34.83839044207535,31.317508024482592,34.31880060857162,37.12046606396082,35.10338033536112,33.7093897798147,36.2223742923672,33.037494566648505,33.78813971720068,31.494211579462966,32.48819287102127,32.38020770511482,27.502221416048542,27.552059276554594,28.153397382883036,26.156039018108725,22.32985461527157,25.554203574637828,24.92785873434713,20.36490899424115,19.299938679043862,23.004203405040542,21.878580162793742,18.484670808759315,16.93768558512919,18.354965855937756,17.217969577613115,21.643333182931233,19.238501925942618,19.793419053404556,21.018485293364904,18.51775468802795,15.67752259284833,13.701891445206487,12.006233011017182,15.388839810223411,15.349554630452964,16.737601895154455,17.588244589813996,21.110501521419764,25.270826331850735,27.918177083976843,30.396273015558386,26.189438290577712,27.348104652837364,31.60051080386305,29.9029717263463,27.610140201626646,31.10071273108658,34.84651450533416,35.29420291759979,37.01789360950876,37.44443743879734],[29.383325513147376,26.022592037097994,22.774577312355206,20.194774603533382,18.199089717929017,24.706091262344636,24.88487443083305,28.88786590550534,30.410866389225518,29.709299484031806,33.39107446465444,35.90052809174604,32.30919746333316,31.905519081361035,36.44043830111954,36.171619379923015,32.29672954441412,35.41168663453352,35.12458454055261,35.818054732252634,37.69549926604108,39.05993505034599,39.32896380639696,36.69341520227617,34.362037115836216,32.74812584473344,31.022513918430715,29.97832579960143,33.35564315690216,34.79522420397345,40.49652863502746,39.58094546775405,44.137473873553176,46.247108783786274,42.372098844616275,39.26617285690543,37.84080060729953,35.174134917011976,32.457284429252006,35.489786339356115,31.425838086036748,35.08133683868671,38.36400207079835,36.24162231089693,35.44901965405518,32.696907295108446,36.16705272839512,38.033266714998604,34.013441572021904,36.13121401675163,40.535950678117096,41.43610410918042,44.069842909269646,39.85273183549233,44.33686293586921,45.735962505317886,43.05500638276569,44.284751418461774,48.627396084025236,48.279786014461685,45.31118950158336,48.28090727323675,48.01275610603958,48.70535167560694,44.9744724590384,42.55335154256425,41.53116739020785,40.574316608733184,38.94683991887908,39.30767968151583,38.3194829235515,41.442457563628665,43.13943737765092,44.21661602177257,43.83263609398554,49.44374465002847,46.1416981288914,49.75732143896452,46.972099277000105,45.83582276473732,43.91809397823013,40.89103105527946,39.86509765864623,37.33153774151347,34.09002082445754,36.04105049514478,38.400779244733734,41.33764216522578,41.66205533482891,46.945484626970625,45.67114563645806,49.753904475894416,47.69556175106197,46.60261523314939,42.46597015836946,44.70846052121959,40.8643724184966,41.938925168871876,39.74094649181105,41.87737592469686,40.1834039332596,38.26252846980978,37.42407748961292,34.558657285538615,33.00725335453067,29.15854170800542,30.45592672743578,26.936536507881524,24.504245237140946,27.533409297194485,24.806652742553986,24.40266122837394,25.128703306687168,22.80300194618347,25.948939485947665,23.421417769611697,26.463721002491784,24.40538643426069,30.104681934475693,31.433531314051912,29.464804067975347,28.24799340355676,23.720377631562453,22.879304698687648,22.980739434687376,19.302255566910357,21.11808100272413,20.146370423024038,20.554634556011095,23.64963083581245,19.290580847864824,23.10134256993257,22.058436125318888,26.031281954888748,20.549478715023927,19.951811519908443,14.949468588702386,15.420987995747948,15.61608352131136,19.191720961385343,19.134365103490932,23.372556432453955,25.57192937782856,23.897400972178243,26.720744592836095,28.733672916858893,26.004335605804272,27.902162421224492,27.705826950947056,28.702608704653656,30.14874775709192,33.40359571687201,36.95837545105119,39.91068535253421,40.35581007534378,38.48238412144517,35.50810735072392,33.8611680733685,33.41494635092833,29.77452478336806,26.168177473352298,29.57072178363782,24.52032799454428,28.57968225876703,25.18005311810065,20.375737387505318,20.961287096610434,20.119330600670935,16.728423722442464,15.511327508709318,17.19005585865728,18.997713548449152,23.66331138935689,27.182212043326274,30.431620662856524,33.055260568567874,34.20666515634046,38.16023609368104,35.24523705100133,35.12306797667691,31.416177364444216,28.618990095712878,29.019361241425763,29.208856726468355,26.820371364105636,30.450941908737683,30.95640011095072,32.99673053521108,29.247141958615018,29.246936105811972,27.983479259757708,26.979757784011284,24.29492111288869,22.20158711307196,22.072711017986627,21.074576124048455,17.67816856881222,20.664894777539825,19.510826053512307,22.06625218244319,24.634330839155144,26.794344624089774,23.475120738700117,22.041064211540593,26.491608741697103,25.90790806750458,20.7676501872788,24.538023573565564,29.613879686643287,25.96878510329501,25.477092018171334,29.354832973996725,30.032065419732888,26.92746883188484,28.65325429968505,25.59086422536836,30.919304172503455,25.237414971428045,26.12752196076173,30.300752144152156,31.961138690883793,36.73519964989785,35.97617086329181,37.32387058280457,34.74221395794218,36.64736255639052,34.66792569407725,36.149530425604844,34.54650321367112,29.21469982603399,30.952278748554562,31.79125153551674,27.639423023152503,25.744378495075136,27.329975972584528,25.5102518841235,22.188954775531784,20.85372416704178,21.445219677659917,25.403436360119436,28.79109446541496,30.68080260037418,33.978123008859804,38.13116172421992,36.48850287856406,31.84014967445718,35.32855625930218,37.67811570187217,33.362109497240624,31.905268066628086,36.14771740838233,35.972551648924366,32.32871958702264,35.69877459271653,38.17030175393743,35.62331526928434,34.56281680157032,37.41274640456754,34.449359720679254,35.682906222818765,33.62640508195162,35.05238788916343,34.54749017244184,29.389166180354746,30.146792735135577,30.732131601822534,28.33683344120231,24.88948930544817,28.661647543797642,27.56791661640774,22.68546827430476,22.45248891857924,26.263918690380894,24.578242755120236,20.89943449494311,18.491873223550705,19.99263355019478,17.787846012648256,22.250060376013266,19.146971638317627,20.270971281628203,20.705308602943006,17.63152490079322,15.486279340586416,14.115631997955793,13.254396783572425,17.175947435111944,16.357577140071054,18.521677904953368,18.2060562446855,21.562445831233255,26.248085665751464,29.008844312479763,31.04769068842465,26.44430631614078,27.65028412014297,31.78692158800074,29.555469582760356,26.9820678623977,30.82467120342259,34.519067271750515,34.78526795022596,36.44310481385183,36.922223731433625],[27.962565644809118,24.58769756886109,21.135421615815197,17.953782664438254,15.270947745599305,21.429084638306126,20.955976595440855,24.865592188163664,26.195116362595133,25.100665992365254,28.734551187051228,31.298762547955914,27.461306360504484,27.07823981593705,31.508459411428117,31.19277994020617,27.256053230882316,30.354176006641755,30.16525223062514,30.876113158586467,32.88760286902346,34.409508795428124,34.807080282571825,32.352616216894944,29.835218785086997,28.003004644207767,26.172219384713372,24.968045791707816,28.318457819995402,29.8083701704028,35.45104542692499,34.651278761701136,39.2023113889753,41.25070110721853,37.4096334637665,34.26621655134437,32.956373840301815,30.300905613319927,27.698150524553956,31.112796380564593,26.968236124960264,30.4132469193637,33.881323665813056,31.961157968202603,31.456693612570113,28.95778160023302,32.654779658857386,34.137050835554,30.087660097891906,32.742341901113655,36.88530392040511,37.85509031081341,40.22063657850797,35.75238786946189,40.191803827340166,41.60696099062827,38.74511624279304,39.80051862505922,44.20731869747229,44.00935603309862,40.81268980639987,43.58703414812,43.17000753843648,43.9593300469612,40.30672906882595,37.74595757951882,36.651078757479155,35.57004870244172,33.98903912868235,34.30445187170852,33.40222741320875,36.61240736347803,38.17257449084428,39.26758747746067,38.79316988300505,44.426376001885764,41.17305279138629,44.77699155339403,42.07007953192033,41.078046873876914,39.20800730354223,36.3784020271704,35.40589842532011,33.14416012020638,29.72423773462585,31.41004466316405,33.64612008599905,36.546716944350656,36.73046167275203,41.97891367047008,40.63387054961026,44.69852336842089,42.63862424384328,41.578548300976976,37.473286290211036,39.76788668535923,35.985672286628,37.06919655449297,35.00152545948213,37.40246845301711,35.49629605167661,33.93952803915715,32.89435398264566,30.427769254844993,29.172511677645634,25.419257347052113,27.294890608981248,24.126619108239687,21.754227060608162,24.312625980481908,21.381995683315125,20.28803262863645,20.783323797369572,18.08943280479392,21.02914076820138,18.404788152032197,21.414761907968295,19.468533070271427,25.243804491101812,26.418754436216137,24.52828940707736,23.318730983491417,18.860148949380935,18.05703335769179,18.41966124073352,14.693209469124307,17.378793117227726,16.16271331599819,17.102790709428806,20.21444657868534,16.69750318861284,20.896748515325687,19.612298687765037,22.991168415684164,17.274234446950782,15.916068053309962,11.35046734785018,10.758032403794246,10.642469305173444,14.303087806462425,14.488365537261693,18.983428059544117,20.803422904891985,18.99059799962991,21.91755042647141,23.77637901124078,21.018589424346214,23.016871327776478,23.06561215555693,24.179559882482064,26.025460072866125,29.272216118293677,33.024053782750585,36.116585994626284,36.170870193982886,34.173868298499464,30.99575959251338,29.551011239136088,28.767141443292807,25.444890177518783,21.63630401442247,24.818172129608094,19.814528290354456,24.062974901821683,21.092981112062105,16.485980398396894,17.708671868258886,17.58666611567794,14.437942272396343,12.175298927619698,13.75069366305266,14.760799648280315,19.57181505067339,22.996522602028936,26.067442808926156,28.759080025434088,29.57339264227819,33.77515761331215,30.911866934566337,31.05751588184563,27.51026234534726,24.761844388181633,25.74421990895311,26.259419407350318,23.541030780302734,26.869108608816298,26.937374744155207,29.504361373799195,25.93373471618325,26.347165482505847,25.65965338956974,24.271098902741585,22.139746282292048,20.07151570377343,20.3821676735965,20.10076985930495,16.363985854619088,19.606475344421817,18.780357742359627,20.421929463989162,23.84925250444754,25.313836489975763,21.675276008484605,21.356187746989107,25.839571503190776,24.62335397853861,20.075424943688493,24.390943763372288,28.89238114168376,25.033413535576205,25.243073263523822,29.188173556965282,29.180489304661844,26.386474797539094,28.89556497820214,26.14033969157023,31.55965657781473,26.866143922274183,27.12304152565233,31.235639720843942,33.26093624560615,38.05940878248178,37.42046639485027,38.194937075083445,35.363891362219334,36.99078752395843,34.43822722955662,36.349140056925,35.29960856171224,29.542369929865057,30.961618128153386,32.58129256472998,28.66500582110744,26.154722181786717,27.695222211333046,26.934821995700574,23.575690529595207,21.105779608349525,21.496072459255984,24.369371912488297,28.049036411461856,29.94317338497624,32.737883025366585,36.968784847586946,34.71457849012605,30.319567652411067,34.18878707502923,35.98786841126683,31.39484552246489,30.558238712788057,34.728521604353084,34.26040080644011,30.947852446422807,34.804737574344415,37.034319548132736,34.33818974545031,33.94519499093726,37.03194427178934,34.306929702514026,35.47552270440838,33.11318719705137,35.02127283439638,34.91017763949233,29.439982260401717,30.290522179114348,31.57897467632729,29.215703057401043,25.505305596565037,29.88044295045507,29.396121705161814,24.214788874203222,23.87790548734687,28.360028462360056,27.146205579805137,23.333246854367427,20.537959409554205,23.10345491006306,20.694627878369378,24.56099983656098,20.729515536112295,21.01309032905041,20.446546679453338,18.18304490015895,16.1778360823436,15.912852444496904,14.397153594160505,17.572173900486067,15.107478166670306,16.819332678345386,15.396948577946992,19.311597146169884,23.69105262282624,26.851459855468242,28.221203524171603,23.628775290419746,25.613253610508,29.438447265349346,26.496911549487322,24.63237149763423,28.957987723644813,32.25133203658419,32.11555407964598,33.49748127426342,33.75401534098241],[27.815495150422997,24.27246738159678,20.224669197156445,18.36596109997367,14.833786561809486,21.486746714188723,21.327095112989095,24.842241669884807,27.02329622324149,26.431257928455825,30.16426543023846,32.16598558730908,28.499291104960353,28.895712649370797,33.1035579402766,32.410705280364176,28.809876836995638,32.07233334918662,32.36787639594532,32.484992663358916,34.79387241906779,35.95052819462409,36.76594696011603,34.47037345342479,31.63695753043708,30.122383417603228,27.759060365082366,26.56809739571362,29.57513225648074,30.592468171428923,36.75278785409896,35.20691066926435,39.78844055190453,41.98276494865441,37.978742170370055,35.16301658837323,33.22950228436829,30.958262105576868,28.26970369743183,31.034327204108905,27.64871189691713,31.551122009156828,34.75991429577914,32.59267805890088,32.25000874932828,29.37852654925888,33.028658394033656,34.503319276748684,30.03943398690126,32.29561982685911,36.52317921225559,37.08847769888073,39.75021750438347,35.37900192926378,39.756681623139926,41.503352549687165,39.048484366175,39.98096422803623,44.32227179001018,44.37640621619541,41.603630169758766,44.58436867170972,44.222603142381445,45.44460151548313,41.66570761635247,38.978952129617845,38.57290063781305,37.34130087087057,36.34278588557875,36.54580542224811,36.021616374441145,39.45796028307945,40.56767953649881,41.5829376011522,40.61359422715627,46.07094104861602,42.46230016523904,45.77696849742174,42.79438683953967,41.56798765702139,39.23917357751137,36.11664837967963,34.697362344789816,32.14837787712323,29.191980653985304,31.1891503864839,34.00394432193079,36.62596841509346,37.54950946925375,42.651402274750396,41.79071240834163,46.09878294961397,44.045582909284626,42.758890614220306,38.735796559369646,41.21552580657879,37.52873770877711,37.88575323077456,35.55846420295907,37.37466054144184,35.425602974145086,33.11974058461253,32.21581954228508,29.067408644868355,27.21574716992122,23.425550110520234,24.576696488625263,21.021035445171776,18.80709308977159,21.92377380207795,19.618177264477822,19.2139652819521,20.662403235653777,18.510819838163798,22.31411784576046,20.235419660497136,23.387665860583102,22.014429709221012,27.877443810753388,28.666108294393204,27.161654736071707,25.70376538391483,21.60132345307662,20.23203154719154,19.9128057602165,15.419099317804115,16.80897415144094,15.074434437988241,15.003559826042752,17.79617013206881,13.378892156744389,17.2284652223195,16.270020992478695,20.13303434730395,14.783781169777917,14.440644384140331,9.335399012770742,10.908653841806501,12.366621386121935,15.327583809582414,16.812845232058756,21.006514639841793,22.72928869326205,20.49053623494656,22.892961226630657,24.65353610852243,21.955162342276225,23.488937604850886,22.87542884822139,24.224616565084848,25.294535978917583,29.004930099927485,32.15238828641428,35.62184026363611,36.02556824652274,33.79304536507201,30.93034762481387,28.857956198134676,28.581171796753562,24.46578765492337,21.010982191990525,24.798969495497573,20.07473904426989,23.927703174181644,20.48184564301968,16.458413606516114,16.35670981687068,16.374097568092953,12.519573099352439,11.358318833058924,12.173682044374646,14.220156987753429,18.489973334238307,21.8820389229127,25.146955022639737,27.57451176987716,29.09599340825044,32.72890599790072,29.91830907630336,29.549281524258387,26.01865967171443,22.898739095287887,23.328486672125358,23.74886221589493,21.49227748554968,25.570359852553434,26.413571024410608,28.62130561941476,25.527910345217457,25.044034513240447,23.95205860546186,22.32921826148076,19.545732053826335,17.061782235569545,16.80481820939452,15.950962307128354,12.16230588012254,15.243374858176777,14.455432180962026,16.672006342863174,19.806890551430048,21.789077079057815,18.5125016945449,17.815897292774185,22.322603544497717,21.802076868630976,17.512337113779147,21.380122517580247,26.058381745176586,23.020681009827218,23.156319241103727,26.932394467937716,27.448936640482206,25.127012964866132,27.262563881782516,24.259273078391217,29.24209479085289,24.267004385037684,24.130918547004523,28.14897256238659,29.647156913051354,34.58190054582009,33.51634446107634,34.13497025593324,31.149297797399147,32.63005469504214,30.127134709203503,31.78920811474761,30.770988428886696,25.119847492469823,26.407905454387983,27.87077691690577,24.02996767953796,21.5046689277539,22.97528327513148,22.224397060675486,18.948052540493784,16.38891645265662,16.995297516682292,20.072904706706378,23.660317574236686,25.764418339223738,28.728958071898987,33.05671683924262,31.102952527883335,26.61352463453465,30.557394701986706,32.67961098030484,28.33140052756828,27.369055123137393,31.773885544965907,31.67920250144292,28.39294915220324,31.884494662446475,34.44710280064243,32.245261385554436,31.45734512792522,34.237717396398054,31.290548200830816,32.0682082255181,29.528978118107805,31.09382194391214,31.263629675302084,25.989830305932102,26.30908845443172,27.62116030017744,25.542725454679484,21.521637994503035,25.59274317119393,25.48403969809537,20.47850607467723,19.58288857348082,24.112091278004538,23.344769873786625,19.705249577927788,17.45447796148701,20.205766332772978,18.58036427653746,22.317058967170862,19.01808445762542,18.725916354151668,18.95833480556884,17.22468856622834,14.47322094608402,13.715108278264452,11.378473694444043,14.083085274744521,12.284888454185973,13.440122520287511,13.326992815665166,17.326712966425948,21.36102902646248,24.347456156816392,26.32638765504436,22.060403502079534,23.806326542735967,27.85109685793678,25.644865009621544,23.856520639305884,27.72445927602784,31.17825374570799,31.33832916157316,32.87875787928004,33.16776045525707],[25.60548423220082,22.101084335265753,18.357958852305444,16.664570327921673,14.0143604537432,20.799891764832825,21.30907480230545,25.078184475441304,27.204301774328243,27.101401611642103,30.88287401320603,32.918545261963715,29.738963138303106,29.912307078146437,34.393155236407225,33.9553977308858,30.557841059393134,34.08789380239012,34.6063735113433,35.0182857588324,37.447736446059146,38.86270973700153,39.649671163400434,37.39158659792364,34.57013096886326,32.77136359771055,30.453021444143115,28.9276588224753,31.778293526385813,32.580456400691574,38.59867828141398,37.00031160790757,41.53577912678269,44.01842238163978,40.15051139007016,37.460096639810885,35.48973057782544,33.5922828677445,31.097246959200763,34.161305767681505,30.790332345264975,34.51064449849719,37.88297658005762,35.825342034576614,35.57459314992062,32.788457028708095,36.47105394493859,37.87642422652748,33.40917171770901,35.763442136213996,39.93273943932797,40.4484255268453,43.07035055281834,38.587479174400556,42.94945065477025,44.7816960226491,42.25468499812586,43.0442874951101,47.444680462757546,47.624909836457455,44.71902080934994,47.526953409723035,46.98083029090968,48.26626554866037,44.59396299176015,41.77897790122545,41.110155373905144,39.66008466392789,38.417609863668645,38.32394528138451,37.71705991335469,41.06326307769723,42.343578200073686,43.69022555010182,42.72303759956318,48.360511877336826,44.97126589087597,48.23402495731242,45.40069564284448,44.39377798098168,41.9707192529625,39.02804705591224,37.370957451960216,35.072169563104666,32.16375183051386,33.90023817777022,36.78783567554615,39.16372238841042,40.09907525697871,44.99977012710178,44.00313103435143,48.21967464297698,45.9488573756363,44.489867668626424,40.28964031530576,42.53575992346688,38.672687781405344,39.228686933707074,36.70948882365791,38.28263628016433,36.909094634432456,34.40129795599619,34.03498132863732,30.6300035110054,29.21897559377115,25.05045649415343,26.010079777649302,22.50976616040144,19.73984258401177,22.87277946808156,20.216937871210725,20.50175408654489,21.55006602295139,19.913857850428162,23.718443775274945,21.85551803607227,25.309264340849893,24.13354957457417,30.04872191564806,30.596934428546497,28.79434097218659,27.05877566101306,22.85500603477741,21.25189904300273,20.51922248643312,16.46550496987031,17.03823524975697,16.214170066285856,16.229667074923583,19.645593709476284,15.062772899244115,18.947019433261737,18.707017972148723,22.474658696877924,17.42639558622785,16.875045013340145,11.458098994187113,13.351979223643353,14.61273310370187,17.887679206374067,19.473657317852616,23.933069352352586,25.434342413118245,23.10640320974933,25.692365475488568,27.079179347327624,24.19251146036755,25.37058281496058,24.543487491567813,25.308271130091516,26.132395997629505,29.498758121723966,32.69608688220934,35.705461673200794,36.49474526129483,34.63484405124668,31.989839096613782,30.016779072794247,30.149781527234865,26.15346698487141,23.252346677824974,27.263446611115025,22.852469789030287,26.871215190978834,23.685505828729895,19.84737010022403,19.77796646638989,19.89633705568604,15.969036556965968,14.823966506956218,15.45106253010648,17.280465411186487,21.45083013836137,24.67754447807307,27.761864443724644,29.899288363380602,31.28745466826325,35.0121478104458,32.558164549190714,32.11281627760771,28.917760216894116,25.314619990645973,26.070135076797868,26.706144623679105,24.585895721970996,28.855649588876698,29.691243581791124,32.04939021099592,29.046715757462962,28.523948041493917,27.393634819497258,25.678718802654995,22.751789623885966,20.07295792613627,19.467137854450495,18.092253765040237,14.040368392708517,16.46515697014582,14.729960507210349,17.052545203673745,19.540423080241737,21.557149695209002,18.24157243069391,16.796897136312214,21.253448294827542,20.658209494134848,15.697446663629856,19.504509459470725,24.468296474807367,21.087605216976414,20.80344167686725,24.637563990958608,25.339347482931096,22.646088193304216,24.496283404155264,21.425097849797133,26.57980533776402,21.371318600630353,21.66847363168494,25.789926206731273,27.562056711284928,32.41630829472095,31.687613506574042,32.695486685695805,30.025860100763843,31.908905101944505,29.775528712276344,31.6117086030497,30.122406576046703,24.520014225084815,26.39453780277325,27.745382565215973,23.539914302626748,21.436558088033465,23.46763005144377,22.12686239546682,18.441355999608827,17.079812602580894,16.808547604721316,20.768358871389655,24.135384420545495,25.6888498580945,28.96590068380607,33.01039945956072,31.367528690699658,26.684461860038777,30.073189221684764,32.403949143688074,28.10975986291599,26.604695762835078,30.862165440387,30.740008382194034,27.135752482774436,30.49829667128168,33.015698165871946,30.628653276713283,29.582169624677267,32.40193207927284,29.44943324299199,30.57893246077927,28.42557585827544,30.010832041802775,29.635599242514218,24.354575702532905,25.16428281569591,26.05572307632648,23.664574801829954,20.088111243948077,24.305238359203692,23.552933532183754,18.419791252124753,18.269779443810638,22.630432411378223,21.273821416198743,17.449768055136698,14.741176171617903,17.40486363506561,15.320753909887607,19.127645757524917,15.738943918537059,15.939964196614804,16.361574173570876,14.09271318550422,11.446099736887243,10.523810181611418,8.810407025456326,12.240777001510306,11.132014445538525,13.363773859707896,13.381323312768167,16.553421825776034,21.181062901731828,23.820766945063554,26.101887105610412,21.61456058418896,22.673531732430124,26.88452495652087,25.04834426973558,22.530335765424294,26.156230882161285,29.884716302238903,30.296502285274094,32.04922757449659,32.57586678905816],[25.993284753799433,22.55424891758065,18.98867819122266,18.135881382562637,16.05628305978705,22.8327184271471,23.894635643527447,27.59935239843771,29.949264594258416,30.25643648539322,34.05229986753435,35.93224098887611,33.056736083284704,33.31817242365593,37.841975280472305,37.41521749550017,34.17858917295007,37.7992544392009,38.4233590882906,38.784166995333266,41.244825509069024,42.584312458275356,43.398446667021524,41.10378912528842,38.29713281431639,36.579711978897606,34.21762962456427,32.68928942343874,35.444246376011,36.07545671678879,42.16356779543108,40.34569707916614,44.85450996070166,47.46872706655781,43.60036152337157,41.04072481719227,38.88646389073315,37.16783437171641,34.66272585575853,37.491214214044376,34.32491648102669,38.173084717214685,41.450061144344886,39.28833276459148,38.97611104294574,36.03303641865752,39.60756403710803,41.151268373477926,36.618335417817185,38.6703512907624,42.93740038061145,43.3097997380098,46.099356824815644,41.73555171398256,46.08232070505345,48.0028173302199,45.6330074103297,46.43029759473244,50.79472889310914,51.004409089693446,48.26327046475316,51.1528366872102,50.632735810447706,51.99379963189514,48.288734198776304,45.471282658713804,44.9113484973561,43.427907893735295,42.224878140742,42.05168540018555,41.465357424548905,44.79753117633436,46.08419048102876,47.49300346178177,46.45873157027552,52.09024556473504,48.66540536162927,51.84776462279834,48.96379772923083,47.903212300373106,45.33492323952105,42.29990906166814,40.4604889165744,38.05762284692387,35.36315055080999,37.205693377248345,40.27664002439149,42.53188190585471,43.69245580961594,48.508087425736264,47.61745483189565,51.86420263077195,49.538212066397755,47.96820859970111,43.73804487305032,45.930340267434374,42.02741005125706,42.46908018556672,39.79412873054798,41.02590530699393,39.91819526334541,37.03037131163184,36.952053042776434,33.16879499688293,31.622848060312418,27.373612084520087,27.7881806721025,24.11884343128713,21.281526889968738,24.701623799802725,22.28730254492517,23.238176460024686,24.45512225542102,23.23536530009132,27.211815175020803,25.534140150875206,29.064160641633286,27.968491334998948,33.88658647036292,34.37628652679822,32.543208860256605,30.70585012361939,26.52448097792359,24.789470345033116,23.767318320417843,19.80381519528224,19.557778788565397,19.011289634837585,18.587228454952932,21.94130266543571,16.895818643148232,20.293138592631752,20.496827088838828,24.5225361888242,19.91891551582144,19.88525035369665,14.421475932964903,16.95624196172513,18.406800354938596,21.606973370375993,23.25070140636312,27.628087450241388,29.223385696038356,26.873426505198704,29.36462117648309,30.713800756130496,27.82742354282961,28.79549906778141,27.697296649020355,28.29850980300135,28.687966277580692,32.00731391708288,34.92913191437354,37.785329114509715,38.95907313073914,37.23174581390099,34.84924471004437,32.69156963965829,33.204065263907786,28.979943905350666,26.4307682954725,30.653378196464306,26.381870178196085,30.250888155300945,26.882811374318607,23.144528452671196,22.59408522736666,22.460861459697597,18.388514364844735,17.8891051884208,18.396924068226053,20.625811441192525,24.54526183813914,27.714830120699776,30.831721805458706,32.778315568458325,34.42420804466482,37.8973603967446,35.55259139539247,34.84969749280479,31.71804292827347,27.935667145128573,28.366979384595783,28.878728665351137,27.09473327644641,31.657496736935936,32.83950971620623,34.91690986426135,31.98357138134947,31.08155444335458,29.608748732163836,28.002956398639416,24.692413708176982,21.91664447788908,20.8675210731208,18.841964968117313,15.083222406259466,16.9190309419795,14.710634532323377,17.684261435194724,19.19829520721363,21.744993819804076,18.845855740081028,16.36371887546438,20.625034433493987,20.64060196234337,15.346363988793222,18.454851920096473,23.828439600260563,20.815920670819235,19.920735720594575,23.586651625301158,24.934878390530642,22.14908979977788,23.24687131032755,19.9248408503221,24.842942461188205,18.856318672169937,19.586294089468897,23.7102903444956,25.163455235023804,29.991745447059046,29.187119641506765,30.63646399182424,28.212539158398254,30.36065416786848,28.75257989357939,30.31256772581394,28.327806746639,23.101770560477153,25.34443442441807,26.127855395731913,21.69232265488446,20.186790201036807,22.437025649107,20.234316451986004,16.450306461586145,16.394052706649923,15.918054450462813,20.838646452417244,23.82244660063193,25.183721683792914,28.86179212534061,32.71925357674867,31.65079554738375,26.81527173245874,29.736003568936084,32.51792160407113,28.548362981212506,26.48535528972984,30.724239358847594,30.875336036475158,27.044161935105112,29.899257987601253,32.61059126341293,30.434431161486295,28.795973072730003,31.353220337084622,28.217754857327414,29.376004800771515,27.524648887098888,28.697226562622703,27.966345950383733,23.009951498419596,23.765969062978492,24.042107987440748,21.623352244332867,18.351040513738937,22.084255431082717,20.798615031279475,15.897348201610148,15.96594879239244,19.80564215456383,18.039104806653036,14.263036897803598,11.840671855009195,13.830430139659944,12.03385139945275,16.206669244915055,13.56871358943528,14.304052475019711,15.78612130617071,13.117141882565013,10.23434701143378,8.114808046052026,6.9677235986529,10.930749330898296,11.683925826162254,14.218851214561049,15.279309218623329,17.680167757915235,22.366939276425793,24.529932775994144,27.390384101140558,23.045782986308122,23.34665793190112,27.73804729583313,26.650194575937647,23.615794146945934,26.66277423687986,30.669823802980716,31.45509091366683,33.43934325831248,34.151683671497565],[22.920848071647338,19.586683446229173,16.5275289722016,15.267238003075246,14.232516114365902,20.719748428978917,22.168179205212333,26.128933251887,28.13625852141525,28.714001278876694,32.472665227915705,34.49728421610541,32.0279935644062,31.930872789078165,36.68304888101092,36.57361802554423,33.49685803916897,37.32151312010444,38.13292973727226,38.88951655163207,41.4630784642813,43.184048164903245,43.94953997138316,41.75401214076049,38.949409901787654,36.82435358295547,34.560280102690655,32.648424939328315,35.26048626641309,35.771407544272805,41.55337369679973,39.88484189854766,44.315992435023375,47.159265553354466,43.49379397999001,40.99295723201832,38.97981516479079,37.572070187554246,35.32877888587384,38.72537815044781,35.406704034728506,38.89823193730595,42.45046930522876,40.539098713122854,40.41664892941211,37.73779385809677,41.458139822584,42.76248864297491,38.28447533291066,40.76337869667212,44.84538787955445,45.29193932152615,47.85688776538933,43.24626907819993,47.565542256513595,49.50972582943535,46.90361712989091,47.50512223320889,51.967358652046904,52.31715654837553,49.25594698122599,51.83892356986604,51.05541642277966,52.43425459795852,48.90877006282488,45.93339966589248,44.95470825753348,43.230337586338315,41.708276822700896,41.22621516440381,40.533929284386566,43.73695405442909,45.21095401438628,46.97913702403178,46.002406476015594,51.83342119832433,48.73877658103124,51.909306209483674,49.27618084181926,48.55077085887012,46.008292672602536,43.30398723930514,41.35228353700592,39.372003440619245,36.541424280676814,37.95566141113791,40.925710534638775,42.971914028260656,43.93185789230918,48.54143270400368,47.38673195139264,51.46465631892787,48.91982234929012,47.237530426506495,42.843592318538725,44.7628991174207,40.70917983129907,41.503401728473584,38.7537200863691,39.96769139585832,39.378003671839586,36.62680219181977,36.965962858536045,33.27382966918563,32.43852204440044,27.88440400696192,28.584304095020563,25.25281865841058,21.896049929980165,24.926041571951284,21.922028457269292,23.067792172268216,23.590770558894704,22.667080323525102,26.36831329642341,24.83996976528535,28.5726992112926,27.67939474924563,33.56472289568257,33.78904871055064,31.65680701209527,29.596955803206576,25.39613918844832,23.53576556175266,22.284205048737817,18.96903537634596,18.448315855754856,18.80954984132651,18.918393934739896,22.90453913064069,18.344491604145567,22.09849522002736,22.663619300171927,26.228839316380167,21.6186693681555,20.868112665028114,15.397586256722079,17.50053030646508,18.548855332196904,22.024039158911357,23.72482087925465,28.397354202415055,29.619206046886873,27.206889930646014,29.953259955252356,30.882751754845636,27.822391371848642,28.54292891174887,27.460930086441163,27.478270559692568,27.946023458526764,30.774214562801095,33.96087559721951,36.2857903306736,37.603830198711165,36.27771083532227,33.97504739847037,32.15865261745286,32.82531214313292,29.045231571642024,26.874729380523565,31.09090864234961,27.108429051330276,31.26157048438459,28.390547831753963,24.794537967721663,24.744153644655935,24.99066035963426,21.003885911366822,19.87496968733493,20.306719034679084,21.906070533085487,25.908882983425734,28.910198386693015,31.749720617889523,33.50817654206238,34.72303867260147,38.515518208232486,36.52615516874659,35.98604636518001,33.22906988979598,29.09428094028386,30.225510525830302,31.110752896105478,29.15916343194006,33.62566115651532,34.45276830617472,36.98995619348777,34.11015020978492,33.53614449568175,32.37493755562978,30.54686295035299,27.48844009724898,24.626189058534393,23.670445628995942,21.78889347053782,17.62258665968848,19.1866093318304,16.416647700741088,18.669659064247742,20.143802828537346,22.08627703762458,18.88574959432778,16.459493068634586,20.570456367206965,19.870713012750496,14.130500556933237,17.60280359072825,22.821161259526235,18.998024966251457,18.001763529402297,21.81453139459325,22.80667722870475,19.554576877679274,20.85208290705602,17.73819701669531,23.086876812084174,17.597118509385123,18.672389718798215,22.856556975577405,25.070563832268512,29.691033132263385,29.534455323859895,31.121600803696055,28.99901151365683,31.441772025780786,29.888693981925393,31.94871984318477,29.822038047501763,24.449179250421917,27.10095993694782,28.281593254228916,23.700006055728903,22.27283620570787,24.990778413933253,22.932937840080513,18.856710785084204,19.168307593929097,17.734405280916818,22.61767524446752,25.56837133787578,26.30398275447789,29.912987177721554,33.461236215769134,32.28418659185224,27.454307873920655,29.959625227099966,32.530883904641215,28.41191368321341,26.163076207377767,30.082989205515517,29.917817371688916,25.923021021469992,29.0050544636217,31.395936223789704,28.76497458658067,27.334220807071322,30.16722891162665,27.2705026559517,28.937882109391825,27.43254247207723,29.022967047122158,27.81209824603939,22.658534258561055,24.228925873854767,24.44667840936084,21.618362980529948,18.929026498751732,23.219390288494523,21.463730999620328,16.326437504259083,17.455237698139303,21.337093697915652,19.066814841961143,15.103095740496345,11.663181964203392,14.04819293535288,11.045465375641953,14.845396562961641,11.339534097287144,12.570420452075956,13.322774391924192,10.101061278409311,7.889344793351763,6.70940706026221,6.786362140954907,11.022086566015037,11.201740028472239,14.684097871313616,14.861376894093361,16.579890958412033,21.783708572968216,23.815114594932638,26.45748995727732,21.819557245537183,21.80436383068035,26.126526628562974,24.913037294598965,21.37896411566897,24.489897510412437,28.548080302506396,29.339215665423538,31.375357929495163,32.240440170997836],[24.06322728982544,21.002111516902833,18.78591434909985,16.316677164821968,16.41958998967918,22.407410337726077,23.734310256893444,28.041065733734026,29.3109774973107,29.555185047603985,33.20920265226012,35.71746621819634,33.17872721015915,32.38488348014149,37.34066537372682,37.57863975992343,34.243221773040716,37.90492362580568,38.262592371555414,39.50397683800743,41.76502548799285,43.723612164013026,44.09057652645033,41.7096335419983,39.24907493420861,36.95923102557819,35.178509276553434,33.33391539556434,36.23128671961295,37.135309516681076,42.479094299861686,41.43231474390149,45.8346879210802,48.54986033809525,45.01107739904292,42.23501457528595,40.71852772569485,38.95176713181798,36.72228170436179,40.48888300722224,36.58422540310852,39.78738989106144,43.47315709592521,41.69292855216603,41.33488734172715,38.86159390752752,42.54774663824413,43.99470781883281,39.84901512022534,42.46426441377223,46.59028517076342,47.35461145138754,49.78019324266495,45.17421264406468,49.56683245769168,51.224036964297824,48.345593199692715,49.123103144925906,53.61410426399872,53.686952785436716,50.35435074564456,52.83637952275913,52.067951143290394,53.03166321011792,49.592186533695795,46.78505116357599,45.25388565666093,43.71393889814667,41.67964735314423,41.30973292055933,40.254818378077154,43.19518312169654,45.11998512793677,46.94940066660171,46.446994137585165,52.40439362717175,49.60531773943405,53.03031669989751,50.60470297464307,50.01544641994119,47.85462401380751,45.30374527275919,43.73123654008358,41.84882199239592,38.67937561118321,39.97105018466763,42.50134644008842,44.820638311970995,45.19704391722717,49.95468333129271,48.408404730649266,52.27065298152403,49.73162053676056,48.25003400772365,43.78886165433442,45.51814743853333,41.37317163392608,42.81740799638302,40.272614850761606,41.93798477053997,41.41709603349174,39.22470172849894,39.44373962031855,36.22884465320247,35.70703301096545,31.194507683561024,32.360930053005866,29.174896397701293,25.79590094559885,28.540665460640394,25.137353422890826,25.7767798421167,25.644150684728885,24.328989358136624,27.363398739083696,25.43257549731195,29.013084110199777,27.63894286697183,33.341819531074,33.933667720184275,31.46213854641929,29.625330008928714,25.16409328139958,23.788358882709133,23.0404596394592,20.410879840621096,20.80578138891464,21.48673972372611,22.210119585126648,26.32741628463497,22.12236045547599,26.128020344947466,26.27309286823966,29.786054252940996,24.75943590157805,23.548178417968817,18.22314366643646,19.172868934620006,19.29651786531319,23.16471901962654,23.848909640783145,28.573607345953505,29.981581753115844,27.96385522600078,31.051429188965447,32.137370766539924,29.06356156769882,30.1554963783302,29.563561977513086,29.41440693841527,30.45612346422412,32.902628848260456,36.55986889001701,38.51671978485807,39.614255285251275,38.524021371226226,35.99239364064416,34.65385798358965,34.94406788689454,31.70333456989963,29.198237736818083,32.99134750718037,28.721633460133667,33.11080452525838,30.399458797553113,26.25441164253321,26.924202610028026,26.826098523694423,23.166910241774172,21.60577637537015,22.622023641680677,23.854693446589486,28.28517418035189,31.415833712725988,34.2239464802697,36.23868459778386,37.00811230241251,41.19823479079451,39.07933066840696,38.88198523223187,35.96596058667272,32.16513553478553,33.47766245825486,34.28790417273222,32.02146180254638,36.03091771216821,36.409346644506215,39.04373982470758,35.70055271260373,35.67836820913748,34.63033270339046,33.10110306242444,30.328463288624345,27.748163198450346,27.15497915344798,25.597635148672342,21.527944127712964,23.494794849189013,20.945745304359296,23.02992766016146,24.722167896796083,26.43349720738111,23.03689063164376,20.852270048021037,24.8818094100966,23.770998712061512,17.892619285029266,21.511339198891555,26.567572163895452,22.118581504305528,21.016358266423786,24.860415179350305,25.505075326055547,21.697705524555776,23.073288394431923,20.237297751220826,25.863475745391213,20.486949981350488,22.18184897327828,26.338829201582772,28.86049901335378,33.23279539563976,33.425796522121914,35.315464228712436,33.40030481924609,35.97386414325045,34.50844200575525,36.582085041219884,34.344898209477215,29.057379601197148,31.757916580181195,32.81430550626846,28.199155303443405,26.87480019031206,29.481621725778616,27.207965348569182,23.230422925180395,23.5329494844252,22.36978835839595,27.15639344751674,30.190824919727596,30.91993625861369,34.470352846492396,37.97354796020512,36.671238391867156,31.88449757306866,34.3167961468813,36.72798513220412,32.48538439940289,30.2698528517858,33.982038461235,33.56578822603167,29.521759975348576,32.76592545921415,34.88870650336242,31.863087958605288,30.638488861065518,33.64844800669573,30.936929418127942,32.94343011690715,31.673704139805757,33.39141890328325,31.878036477247612,26.747476564254207,28.655154125798052,28.67704185042885,25.685379504656925,23.351816493783108,27.570518756799018,25.395650647833858,20.40471198068968,21.837697676090787,25.37226162535895,22.66356995287277,18.774940747500505,15.245273263327228,16.7586649070148,13.137500394576962,17.1439431245029,13.534222371418714,15.753436606024696,15.887745718342272,11.832589118649791,10.830832329575745,9.988435133104465,11.092434003372846,15.463652605630712,15.252983849295145,18.886661480717198,18.252090645778825,19.971599891994956,25.404274729982774,27.5285863767871,29.7520583067965,24.878095210270025,24.93698284621898,29.068493849432564,27.35824351157343,23.600009710286464,26.973135432293752,30.939452965203976,31.55511470880603,33.50676823457813,34.40154553949194],[20.573619569287196,17.528732746688924,15.461762442696532,11.763725439898078,12.258682918437238,17.678391231736864,18.808573581420376,23.26829598591588,24.11044207745212,24.324949720268236,27.915755048066476,30.55163414985185,28.21228539542836,27.177771730026507,32.22386241423408,32.67224664526829,29.511146725553605,33.33192392394834,34.00222003887151,35.51533391455651,37.98596775702367,40.30955941451438,40.78656200063224,38.68809085160957,36.08539360095969,33.36139868020493,31.552002360985703,29.26953056651431,31.909013488204568,32.665700016002866,37.69898696151961,36.797731958086096,41.10137784112181,43.953933542974156,40.621177201950296,37.93468530026738,36.57157611774793,35.160625096887145,33.27373823162413,37.6368376414579,33.73573738254144,36.47658857652186,40.43385312215566,39.010100700839004,39.04367061883673,36.95296115573785,40.852045954866966,41.8109030563152,37.691473928028614,40.92326810647456,44.678054785648605,45.48594928863629,47.55436079543739,42.64344722009003,46.911490954257246,48.6202360726036,45.510820519694576,45.97611136429033,50.53308346377632,50.86367210793796,47.19234735011035,49.27864637096659,48.19851610352568,49.295069513612496,46.08327320373449,43.05504938392483,41.22141904827555,39.37419113429877,37.19366490085515,36.496877767496535,35.46998036020683,38.37824759515129,40.2898743950663,42.42346243183334,41.83749499912548,47.9164891092691,45.405341644671786,48.746633869445446,46.574050245127594,46.34436018355431,44.208848931378135,42.0677782640316,40.40772977906177,39.05333458314314,35.75926943933568,36.521945756435635,38.910516459869505,40.96108250852891,41.150244046230895,45.64554321188239,43.89482526517421,47.606298867647524,44.90052763854248,43.33479555552734,38.79144886448219,40.343482717588195,36.138604702492536,37.81690908438978,35.30032267669204,37.11796428454596,36.844591838747284,35.00538198758692,35.41097056283362,32.55002002194782,32.76462682938253,28.143023568595787,29.88293238062849,27.21191711890304,23.571370453484587,25.66772734183616,21.73202203489961,22.05743661241829,21.18628398582173,19.980673593450312,22.618420824507616,20.89340314585036,24.613034872752444,23.657486311932928,29.26470227870764,29.413228532942203,26.78881768676089,24.709621190955684,20.380793746745,18.824289567389286,17.935117629909307,15.98295153709892,16.61807666299005,17.94707309578002,19.40548893988103,23.909275216879458,20.651611432902904,25.050512914803367,25.317345968205455,28.086214132618696,23.08255154445868,20.97535482435344,16.10636063193684,16.30808280896814,16.039766964886812,19.923191724704107,21.005236214535373,25.92726783574362,26.653656238878696,24.479699827465815,27.704471802642583,28.234551102178337,25.056568551550765,25.882658571363407,25.416888026128156,24.83287437996115,26.1871911207392,28.22792439371755,32.22383321690396,33.906633123426616,34.796819105313524,33.91028155032184,31.311950254876837,30.382465412610344,30.5843774591759,27.935826225132487,25.71954529831633,29.33999775404728,25.537040173411963,30.123192979817222,28.146009855802586,24.495650867228427,25.731171597757257,26.38278251124998,22.93713106845642,20.56227070740728,21.27067418603944,21.58081949014481,25.89690824939445,28.71823906079372,31.125245579391347,32.961629565041655,33.18835314638117,37.70903252247053,35.950618611618005,36.023404209798585,33.5691057697566,29.546614183443403,31.717239135391548,33.00206171041885,30.492089631634883,34.24307984174853,34.139432975938135,37.39992189899547,34.344574992101485,34.722983042182996,34.246081968569406,32.298375573218806,30.023355221801783,27.387979700580473,27.068383050081927,26.02080089482807,21.512976569548417,23.46981021240019,20.894523498627525,21.888463627853167,24.259080153884657,25.04627473936499,21.227764653092525,20.100104538029576,24.062381066870234,21.963552019111933,16.49745715613548,20.850488394940296,25.186870307244202,20.06445290799579,19.713034907016244,23.687442035317506,23.34834377063105,19.607667254154116,22.05736727558787,19.74562799889037,25.61946120058863,21.70311888362166,22.754085071249804,26.820478387629876,30.01482058404598,34.291561281622926,34.8642918975325,36.21741562572035,34.17652154159018,36.599684758899926,34.62056631993733,37.310858626368514,35.52929770238137,29.775451656090937,32.3581826792506,34.28547608799915,29.81263944704041,27.949759014009445,30.720624695978014,29.40960231200219,25.269838102879753,24.71721896352427,23.009604551929183,26.886244523052184,30.137468076391265,30.566991656130384,33.63866649921949,37.04552338473158,35.1496502824487,30.59842551814132,33.145276835253135,34.9330275208591,30.36805039985638,28.62460156992599,32.08314942157145,31.203952535605712,27.395606417515012,31.251544803650095,32.952039550408706,29.514550677042667,29.112690120285617,32.51075435002844,30.176706700170556,32.35505538595955,30.948999196465575,33.33104725349478,32.00539715484116,26.48869625065843,28.83622152777715,29.54201314070114,26.444019270233113,24.06463384331762,29.076656870388057,27.388319793373405,22.042365431060848,23.653931559134403,27.885820426731144,25.557979317972713,21.513370179508847,17.397711801204995,20.19776396694046,16.28939080275841,19.27010183592892,14.5840610601258,15.819707718557009,14.27926199794193,11.080357589239076,10.761623055109562,11.794269343301632,12.302258686059298,15.844420195170203,13.757298907960257,17.46476817952696,15.406623652119666,17.05425800965811,22.527634092596923,24.906485894353537,26.37410181662937,21.31907360843563,21.89202007628317,25.671284416177226,23.191429976850657,19.713585126582764,23.673708384433446,27.28114757685921,27.501345250402885,29.238554171369433,30.050331363890475],[19.62121549770089,17.113210508786697,16.359499842086922,12.251599521952036,14.638716763813774,18.842661730589796,20.39289442283933,24.926867275221923,25.13099406631544,25.592336505427127,28.94353203258379,31.788157952394393,29.985382406593704,28.379090052493517,33.57157672238645,34.44952121774967,31.480225788571317,35.32346856260243,35.99119008397848,37.97290303153616,40.3694168548263,43.02058522359147,43.30840007188341,41.24498997478787,38.833682604099685,35.81689507429837,34.30361114984863,31.81355964060925,34.330231265649026,35.06249385547066,39.5534592765505,38.97927259866551,43.10470626803148,46.09496142073615,43.04035203230283,40.392815857121285,39.30190043928597,38.09027534972323,36.4433324921227,41.18073469411766,37.109139955864656,39.468617519825195,43.57928674907732,42.38106067475232,42.44742183782267,40.59197472914205,44.49606367520406,45.36931720288612,41.431847934331884,44.85906604751517,48.50110473996727,49.415390002055865,51.31634660239906,46.32356091311344,50.540793271545624,52.1706392741912,48.88241620714046,49.262972430802996,53.83523569309585,54.17843507508716,50.25885512546743,52.06850392465257,50.803769972508015,51.76659786686389,48.76621640711388,45.71885772873543,43.3950319694256,41.44025621881742,38.8347232810108,37.8920382797954,36.64349853184851,39.2417537055057,41.48805712845939,43.9570829242811,43.604658887065256,49.8085721839907,47.72039412403081,51.07622933703116,49.20302549542334,49.27604603403356,47.283747336058575,45.4452684503125,43.80256890838702,42.76395266957463,39.38305612127232,39.82308615668303,41.9931680645017,43.908923620450004,43.791748767106775,48.074315692707955,46.011949670477925,49.44426817675401,46.570630441515576,44.976635100292285,40.33664637237531,41.50677190262359,37.19871428979778,39.40280174132182,36.91355619907567,38.74350950372249,39.0401320018174,37.44895539603608,38.22487160740102,35.55279037727537,36.32657185398792,31.598498772626467,33.45441022863266,31.041431258438102,27.175051269751876,28.957306090224513,24.738407090851368,25.22119483158264,23.687324721345597,22.783982263839487,24.81712012581239,23.226012799199875,26.874566922420183,25.97286314847497,31.23743561607325,31.275718558859374,28.324164066215456,26.188545391599725,21.98578685307841,20.594846946401397,19.683719613909588,18.827580871877434,19.27169647256366,21.350295645917097,23.09526394532234,27.794870032879437,24.82891968786457,29.226827040970388,29.684220741790412,32.24888570572897,27.351065910399473,24.972174035606006,20.319975876119145,20.19606482646455,19.480795322388985,23.376921205015034,24.104140948810425,28.998842277770265,29.521441684795185,27.527026170413826,30.904263373173368,31.151693143836717,27.960603242024675,28.629874163363265,28.290455066436184,27.14871475675739,28.588324068402983,29.955571343970274,34.14458054141262,35.10551544570262,36.13675259701323,35.773400702948685,33.31606627035944,32.828943605155004,33.1295821669811,31.03167870667393,29.153817521430312,32.5733624197626,29.038365268987757,33.710445949109356,32.08741150750753,28.463955424812543,30.00073218739824,30.65479296077541,27.331843609255685,24.804810872412705,25.58476970894039,25.599620036990917,29.88794781850913,32.56368652945711,34.73843595559377,36.432160444242214,36.27106039148364,40.991873539386944,39.50752968904724,39.72503389143062,37.519177544763615,33.39880143815049,35.9025493170354,37.32219153484399,34.75674379546838,38.35873316183393,38.00172514082171,41.451423409401606,38.338689747523084,38.961231685359984,38.59056422617372,36.65927399365034,34.49266683694351,31.87579977887118,31.560613090916167,30.465677753285988,25.917842110112392,27.677206536996138,24.816447207096626,25.60094781689374,27.63897336009341,28.145849452298403,24.36991559092127,23.0866547383548,26.68012730853785,24.248454400934556,18.73621184050064,22.834375716707346,26.872967140185914,21.264489768715787,20.63474053923766,24.42212686184444,23.812141292700787,19.584495069852952,21.899617348428034,20.038479295655847,25.95551138002609,22.5365931752705,24.12685387031798,28.01849538447283,31.668114702005525,35.557816196077624,36.70255201375586,38.370035304992584,36.71150681695192,39.41251208478436,37.69204928725805,40.57842117468944,38.53846918573188,32.92775702610007,35.83724007040502,37.75721674450407,33.16768364528127,31.581713557556657,34.60329312534377,33.04851118759386,28.804912483944392,28.8055345965667,26.70651270768525,30.766959671768877,33.85917559158904,33.860360778251774,36.94558344900228,40.02174101485486,38.226571463755654,33.736619399877185,35.77341012206247,37.460411111229924,32.964229545476506,30.976136587127442,34.00633212500816,32.896342369673434,29.00494720103583,32.80455499447324,34.147423997496354,30.339636125446017,30.038122545302897,33.540155297429656,31.491951010378827,34.12887425093485,33.19338543858434,35.72024452020278,33.87479350914443,28.50884779403863,31.42084113291248,31.814699820577662,28.483842872914675,26.765719722447813,31.792345320016484,29.57060384592692,24.401703257127807,26.68308389708667,30.579272188921163,27.77637065717533,23.820421271181754,19.44800541924778,21.829198385401032,17.39783685081364,19.908859790105346,15.21013083369967,17.179476132290226,15.196669547983214,11.590916860507372,12.551207989447443,13.90321056647307,15.381969422006676,18.86765423393334,17.098771135109732,21.127118717033404,18.82410767604647,19.630514215377293,25.19679551234536,27.241455404189075,28.499163303593022,23.43459073655541,23.492462820163368,26.974873887733594,24.53899529842546,20.540419550126057,24.248384935682402,27.773861400022813,28.02788917582056,29.773042260163116,30.780168123902722],[17.30417223451508,14.73453327401822,13.821217557061553,8.686591637700094,11.162842587751973,14.62697889306699,15.893965030604624,20.452376261907077,20.42520163256684,20.895030021749765,24.22764191223163,27.058912873444015,25.399396980667294,23.798170690335866,28.993069907236034,29.925381696568532,27.17999192826902,31.175295692335258,32.23777612461317,34.25591511039027,36.90056245304792,39.73291759266423,40.23818622613611,38.47216362736819,35.85625851802687,32.589003118848964,30.911740706887773,28.07725721354213,30.271922616037173,30.776042413928852,35.126929235142406,34.50296896603459,38.55196794888374,41.65525930487079,38.72675719897682,36.23110483870122,35.13964272812856,34.3025181563362,32.94099629592926,37.98756652550021,34.12781856800344,36.18212026821944,40.41998415432809,39.46813210587933,39.90427234720663,38.30651843876323,42.33133596079416,42.78206283286491,38.82003237800459,42.63862030352926,45.948020424694974,46.808424031851615,48.45859628215439,43.283061898748564,47.345574451239365,49.07406253774506,45.7127226032577,45.80932450109638,50.39254372263689,51.00012612636874,46.93422486308833,48.46994360855914,46.97572830768178,48.165441694443516,45.32031222652921,42.07158212255083,39.71453292937203,37.4731293502533,34.94724449052808,33.71966947058543,32.633374346960075,35.31304605210014,37.36264947631175,40.0234356182767,39.441375896000075,45.67605412123504,43.70717277220016,46.91443778414568,45.17190373126663,45.47210055012593,43.413006157049104,41.85957880968239,40.0846833124799,39.43416280841917,36.07107279514605,36.12581366195411,38.27218381283035,39.902820170683654,39.794861666691894,43.82391696629465,41.730102219273,45.112109579104995,42.12717228916737,40.422229826477846,35.75234534851106,36.86462000690214,32.544425628732405,34.73302632295417,32.23305892219918,34.11423341747763,34.522449706471285,33.129244898793445,34.02367949550664,31.593685557521308,32.861308570719316,28.14737425055972,30.378371045055257,28.399744398486646,24.480702210700244,25.72286728339402,21.251856448280233,21.47477632522657,19.441399198500335,18.72890863261236,20.50431123019537,19.247090417406053,22.9996342639912,22.63791921409696,27.806291099961644,27.34567411017987,24.412507874534697,22.00217073823052,18.064146772959287,16.35429655240875,15.163133592039303,14.895425553084603,15.401596103292324,17.925188057267164,20.139778617407718,24.929626953069896,22.78369503201386,27.288930396279007,27.843877298196986,29.780481794490836,25.102801878667208,22.18498898383619,18.140074341589404,17.60056466957756,16.79256951330747,20.417602419664586,21.731109821345644,26.62539714273439,26.52820868501647,24.330804207625906,27.652226312306382,27.396947159257085,24.179255275259383,24.519130936148265,24.194148075947954,22.74772347687591,24.3587662114374,25.47612988320827,29.844691168977473,30.739089211919453,31.570563194537165,31.263111404123286,28.77536616981905,28.528591155669723,28.7930737906474,27.105385413276696,25.54834086809571,28.84300997393827,25.828799926728163,30.501399134487368,29.45191964755822,26.437751119770642,28.196569073421674,29.462228815115672,26.322780894294077,23.383298775638586,23.78682927332145,23.16082550711576,27.129330963093295,29.46894387017281,31.291458074979683,32.776044151666355,32.27687755202719,37.126466192095826,35.95093746216547,36.311814152321254,34.51926720465544,30.255288831601263,33.33549683229218,35.095822347665376,32.45010643539266,35.874752805484704,35.25416338920361,39.10799999178947,36.374061376729195,37.15388723137134,37.19087031361015,34.91625690711325,33.11299214876153,30.475822507584002,30.321797691966378,29.600861449287272,24.884812622671834,26.565720103809763,23.839513086262958,23.803158071924077,26.352237528877872,26.178307296222034,22.20640550096225,21.87434804608842,25.35522489975575,22.300042865191244,17.480848557268512,22.001709066130697,25.365363862912034,19.56490811641259,19.733135833021095,23.518708239927946,22.1478286359527,18.358646796090238,21.590680550219076,20.10646201208866,25.946378794064042,23.62397863473276,24.435057973099553,28.18719192476147,32.09094210853296,35.988959977819675,37.18236421285107,38.27919472747637,36.4122207189142,38.856455968699954,36.6790734131144,39.94236344090385,38.36764971650544,32.45776654560739,35.121236269401514,37.674931176642936,33.30588880419268,31.27606955301477,34.29373426683515,33.54269723072494,29.29443887627579,28.555685818706586,26.20655262694701,29.416220888586672,32.622952100069575,32.4995937027771,35.13596587401927,38.16827586447257,35.898673472582274,31.6788973050628,33.90387169428501,35.074375305893874,30.38247970510847,28.90936510016092,31.78341757705164,30.3718101269636,26.80894732645212,31.058742445657273,32.1338981226483,28.174424921941537,28.5727251856424,32.28871823347519,30.501868917854875,33.0536545217504,31.865590591450783,34.82700511199893,33.35448416680703,27.76315301216644,30.75157736485403,31.776604702942816,28.53461923808437,26.605202761552412,32.0849992381739,30.47099139962806,25.121625386893257,27.22446402893505,31.648109709678316,29.35519066505566,25.348241690808972,20.845961883185527,24.15464353550282,19.93275457661706,21.8630535979421,16.711457194549254,17.500935743451112,14.456674457444986,12.2153302926252,13.14891007898791,15.442375794053598,16.103481693036244,18.757949043701938,15.667064289263521,19.368682067780504,16.11313320910786,16.9007603354246,22.191054339047852,24.457990776502207,25.06608384590975,20.004544667617115,20.65778457710747,23.782274481930884,20.676818668280823,17.207638603398152,21.447908706220417,24.568928570801436,24.437497642103416,25.954424040646888,26.827235762514658],[23.0369276356857,20.22363794425074,18.27982096673249,13.244198708222745,13.179158182144386,17.522768495601017,17.37721817055901,21.863351737181382,21.785196322376418,20.914426013054698,24.31299488108327,27.499001672536174,24.575833456647857,22.903262155025487,27.927435455741843,28.56495861440273,24.988648830435732,28.46600437998706,28.641229452458298,30.553437713230768,32.73932978950745,35.3055544915344,35.50146393108473,33.411697235924514,31.03187718525062,28.077095747583815,26.713408274855627,24.503471454931898,27.42355272323378,28.720132551458097,33.25749875462995,33.13526678808991,37.39551795047812,39.883634527816476,36.66311643388779,33.63603234318205,32.91833859792044,31.026377757260978,29.23836437131078,34.06700230795812,29.634891088862865,31.875312755544357,35.9792112966524,34.85328950710825,34.86367371156003,33.21215227005338,37.13930704000079,37.926417910683796,34.21242013333631,37.86547070983904,41.39185883650535,42.545928059890585,44.25637435295727,39.300727669010726,43.51349910381034,44.893169119310045,41.46964153682576,42.007609250511464,46.546067602370385,46.675042120122434,42.67035714801849,44.545396807518166,43.46309719367165,44.18478407203841,41.112775299537574,38.22988325434406,35.912768054752796,34.26176313254196,31.71476543304874,31.244587184203606,29.9498958692693,32.72497685946545,34.89247006615527,36.92198097273908,36.74233321132677,42.84513650152404,40.5713546647246,44.155540419678196,42.19477118019653,42.11218490373617,40.466267279302265,38.592394148143796,37.47631434843463,36.356122554960514,32.67281107545456,33.171305450543144,34.93491389832562,37.294418365082095,36.77456609765176,41.437931223330835,39.32226804739145,42.833890163820755,40.268476940528394,39.04162842635006,34.57758720706845,36.124969633768494,31.992301481445615,34.22229219732812,32.16086893600542,34.802307829650005,34.057728835862704,33.20170708078129,33.02121718166293,31.122776860319888,31.636219247015195,27.423236146624454,30.02705237085809,27.759598158983618,24.507842116677033,25.98509213440195,21.863662777232644,20.845936239282057,19.309167412386778,17.18605183527914,18.742070800101274,16.417717439429172,19.75508642702369,18.34826119296266,23.686883884349562,24.17115272332982,21.355927685380028,19.655362287043094,15.108000272947072,14.303831125427811,14.541003810059445,13.35503802545603,16.104608090367037,17.09669729452742,19.408453930468657,23.58779941853246,21.413890505118626,26.0344672351659,25.565049018641787,27.80185692314025,22.46775993006415,19.58213680636028,15.74240976449307,13.951671470375953,12.334314656045239,16.296574360255057,16.4132663389484,21.25799052447243,21.794917238383427,20.03887619317637,23.54010745153667,24.15172736872479,21.097358765125353,22.49324780054195,22.8637816849624,22.47820510569793,24.863101037136165,26.706004302670397,31.234377610058534,33.0118197557661,33.08364608218229,32.06777080526587,28.96111195493638,28.630371530797845,27.953138390119165,26.1214681987943,23.29349922426296,26.073940008409924,22.12509357502287,26.846704993393317,25.432758600933017,21.657164542219483,23.948219853877347,24.74028220429953,22.031304507798023,18.82379837473014,19.891812734648266,19.218582206195943,23.71584236392542,26.46232804207221,28.64562391854502,30.831006903765108,30.39719965906954,35.36317230293053,33.40973790511968,34.04549008564879,31.515337686469344,28.159149242934625,30.721773555894977,32.04535851585482,29.088340125115483,31.97944572164544,31.11897334097251,34.71527719634543,31.442887946485637,32.638545517096134,32.70359789578177,30.866650679624634,29.361646969699095,27.16781663255618,27.53074513650391,27.3574096181678,22.996692330915792,25.545721490045985,23.74987728349976,24.13009482479286,27.464255604675113,27.73194538151874,23.65426839965342,23.75656269006358,27.78412318489876,25.18550374138175,20.51724411927789,25.28150837744155,29.02731743539871,23.78422823207309,24.18667085387269,28.139218534575363,27.03785448748705,23.632604224783897,26.838209690344573,24.89286064854366,30.729418913926043,27.487452647245817,28.098148080405736,32.08319224905776,35.35206234858038,39.65663030642108,40.15117218574938,41.065303453040585,38.720863578487574,40.779978554656935,38.25742372273231,41.06826603829102,39.83791574451113,33.82016512324942,35.87959761209285,38.207382028177,34.02348370490443,31.62059683641512,33.96598628353317,33.376096882630726,29.461140151769353,27.695564966895944,26.549967959583167,29.347562458777126,32.925782011121775,33.717190956643385,36.2603439614691,39.88002870134567,37.31142236179923,33.09295088638666,36.21445950924875,37.40538881105366,32.55516754447933,31.628510195817654,35.029097519909314,33.82250450401002,30.47176418587928,34.83224183267298,36.258562052304036,32.65230871680884,33.02964798669496,36.63002916447946,34.533154969931296,36.558960816184225,34.78407239877311,37.49049574643543,36.65472897959183,30.946016822661,33.117495231175695,34.41094047128429,31.474205419188532,28.69485824270653,33.91055894268677,32.790295276935886,27.34281698469773,28.432663006878588,33.03555101361678,31.13987202190096,27.079009677269813,23.111008632733753,26.131374122029012,22.408294539798725,25.355782768987996,20.516094628611274,21.191150015437902,18.88466677858523,16.52270717392291,16.259329326713345,17.595488761571747,17.372923892430446,20.435824744693864,17.02152622085171,19.885183328207937,16.648008522563707,19.13781734060352,24.052028900040057,26.98161106477694,27.439112900468146,22.449073546565884,24.17096595241827,27.414749093331643,23.73171833671489,21.32847974852644,26.006080930724416,28.94825036283389,28.480741181402742,29.72982573703165,30.1585352223689],[24.433394184372307,22.141956230812802,21.14623832887323,15.530782720616884,16.64519254009919,19.594016764140633,19.281400628144212,23.702093166037795,22.601429257570057,21.394610343660393,24.351433842749746,27.995541248608422,25.317160061135493,22.731101747384027,27.781446805500615,28.942615070994048,25.37593121087091,28.566516295030073,28.374143620648315,30.96564153986464,32.82587933979172,35.79018529325689,35.596962701883,33.52249356464961,31.55340817900754,28.27707377159508,27.540966938362764,25.2789524540644,28.192968223639994,29.76481571810008,33.42386791335645,34.06788249384432,38.08445347189463,40.45347291165606,37.5835179177497,34.43091380014802,34.338110001913385,32.36449498148322,30.86311525744861,36.13181993261872,31.340101067257088,32.9293306272219,37.15205013833623,36.385428569247615,36.36102237684843,35.163182411783225,38.9998385078583,39.66376030966707,36.410281956090486,40.32444174220352,43.615065526417276,45.03065886040166,46.42345838301607,41.47381042136793,45.57352737921486,46.684140078027234,42.986875456704645,43.52600297120788,48.015980103299924,48.01219710043585,43.66988416494886,45.18481612530291,43.968273420686316,44.30693827095151,41.533321858835635,38.78211358884644,35.73691404375226,34.16239633424358,30.978313300492236,30.447191910576194,28.73971948661716,31.058000796042375,33.74965596205398,36.006671601153066,36.34921969237818,42.51632333044967,40.80105962270448,44.52396751066788,42.96764227438776,43.2203944240683,42.00244412913803,40.533499911812655,39.746101017155624,38.989018589002605,35.09682124524798,35.21239411273617,36.41877083871199,38.818329074128464,37.62937640740111,42.1590882672705,39.56660536368694,42.66268792274873,40.058577787654116,39.032971771159204,34.57645638671355,35.73797375130558,31.595936446621092,34.63331122830003,32.88191918319297,35.93936095950917,35.461530123608085,35.312718457978676,35.164026218449536,33.88707942517193,34.947115104035824,30.885514999470267,33.85092350852603,31.919097962217663,28.664973396103317,29.712988239085263,25.3812287104651,24.0392795864154,21.747215872667162,19.581807869853876,19.95817074294989,17.54004543351078,20.38160660877129,18.7536142785207,23.33604987759755,23.979323379991325,20.756834253068956,19.342212323608816,14.983720586049278,14.951376224279606,15.805907129835957,16.100796911162583,19.28338943018868,20.71412171098488,23.422366908269183,27.552764488738596,25.909101628657442,30.545738592759818,29.962417312884998,31.890049083400797,26.58989042011685,23.35771749231709,20.112736796734797,17.573450973478053,15.173014370975753,18.870545678911682,18.055254698038684,22.54990320926861,22.84723108375032,21.621024978752015,25.27204956614351,25.69493221076995,22.813870221717913,24.326331502431994,25.201315694403764,24.43819016796502,27.295117687497058,28.443129358499398,33.308454555349265,34.50132883586988,34.29470941489253,33.68405437094533,30.499553319980617,30.837979667642717,29.842122647828347,28.88218326775774,26.129967057290663,28.266735438035028,24.572221080904512,29.271500420237455,28.39777984177996,24.63999595388598,27.527029704701906,28.261973704227586,25.98736970815131,22.518923270852838,23.79391767208817,22.61676249118402,27.032064862114144,29.58547154252118,31.453490968471105,33.652075493603945,32.60838976813051,37.86681833361516,36.05774850208992,37.05221995743044,34.69555769368777,31.626452992795816,34.51528582402892,35.90345308638047,32.77231587993014,35.13148302183422,33.743073115252884,37.543982418707266,34.129833425926535,35.87638768783001,36.212177850537806,34.520043099357636,33.392183132057966,31.42155851476679,32.005185095507855,32.05336897603268,27.750483800959568,30.34327308467135,28.555009438338473,28.6947351677202,32.055440019619525,32.02387832576787,27.90264380453922,28.17947309454792,32.02491662500601,29.074575110024053,24.522281384082902,29.264789955681795,32.69758024183998,27.08602070232198,27.507197052526518,31.344006829375914,29.83325503107929,26.21832891457289,29.546000191253803,27.98376857944697,33.852042281416,31.047678955800155,31.918506084548675,35.80902766295677,39.39902816830568,43.498882890439255,44.33517857843555,45.35414553647163,43.165582047191506,45.32061894317101,42.81266020545328,45.77770907700162,44.51465198248097,38.494717079986,40.63698825228701,43.04271877489459,38.827158423670234,36.46242036552818,38.85430673909363,38.23862039465923,34.287413912323935,32.59227792026296,31.36941857322483,34.06773253569317,37.639489477083785,38.26912088835032,40.68185470386109,44.149679933043366,41.438636278902166,37.364466176013714,40.316501235584816,41.24991616428521,36.36179696617338,35.51670407264434,38.6022217124689,37.12260969787423,33.86619645158047,38.346859360882945,39.42987200012678,35.50518646229958,36.21110788909856,39.94850679998061,38.116246026249335,40.41506684477287,38.84562769349149,41.744812828676416,40.69328834141482,35.00217390507193,37.50070252870234,38.73744670115807,35.66895406979391,33.17867261552696,38.47917079491842,37.126853460935756,31.70889489385948,33.0962331049869,37.594278525735426,35.45745564980258,31.393671983454226,27.26587075416327,30.05168398126999,26.016031146962384,28.79378460806612,23.893478972207625,24.925204431749552,22.20371416488387,19.725812118568577,20.118610795792996,21.639573417626774,21.863884622963973,24.966617405045113,21.511395224472995,24.45187843326826,20.836549388110694,22.934559208185085,27.73108374244961,30.57835640215717,30.54133639448014,25.618705814196023,27.32211234447112,30.147979987686572,26.088020575981563,23.722260546625915,28.424393184794415,31.024704514941167,30.31223211617271,31.334147724019925,31.757415146010743],[28.229015019065965,25.9244328586354,24.732131512201697,19.144275747244237,19.657854607777548,22.648894190570577,21.80087634897924,26.039939500068158,24.734824649121226,22.850004265942104,25.605848888005024,29.451009893416717,26.251939309956537,23.44521601660691,28.23399504378694,29.358622099209175,25.40250197699987,28.07231891870584,27.148255577951925,29.872414660951456,31.256232015818902,34.142959446815816,33.57639878137849,31.286268422302516,29.695758496898595,26.583223936262627,26.340555713624376,24.5552775029544,27.854843151690712,29.961524148824605,33.3684729090636,34.5372172513906,38.5320254287769,40.47373646114722,37.582903500713954,34.12181066832911,34.45481441979686,31.85035119267551,30.203503492639374,35.373106810020836,30.17192219005942,31.62073674335769,35.72830861005018,34.97715666115905,34.63436002267732,33.5779677830282,37.25691089875741,38.11366538507207,35.23525678404759,39.05983751571537,42.383097696272294,44.05901159405791,45.37787227096493,40.632363512571565,44.75360064208918,45.538463766422254,41.75047673043699,42.57225447630605,46.97336158417068,46.60943041585578,42.22989051220939,43.831673656342865,42.84897748687923,42.736655438656804,39.945834572548,37.52262191557994,34.27305868255285,33.150038238273126,29.766693747975996,29.732791103679986,27.764439328540586,29.912997072475395,32.843215401163334,34.73038028567731,35.530862597993156,41.55769067230182,39.86335733597946,43.83032437452145,42.28990494951841,42.41083673320655,41.60115246413808,40.08122202831666,39.79855918460825,38.87867143153,34.79734318953792,35.06547684790985,35.83919370863407,38.66208056077281,37.02209006445432,41.83785871175971,39.10817698351639,42.10585782533628,39.777761256311464,39.11874935312193,34.85764526606548,36.12799560283445,32.16992376566231,35.4174884186041,34.0251401001747,37.53432482894712,36.53821565533112,36.851519617706835,36.15683212501483,35.331655673632994,36.11760270719692,32.4164357146161,35.584775246046334,33.611530533977636,30.72386319358204,31.783393976368888,27.652980064029713,25.733518819775295,23.58770833565866,20.82736704544555,20.734624480278594,17.799208605969604,20.02268868825793,17.63662046196282,21.832748450191236,23.20224731038582,20.026107516918756,19.280549111978296,14.887095601359485,15.73195905620233,17.460756643570566,17.656857741346556,21.718283673820828,22.523934197238322,25.245772995380964,28.962946680402883,27.445442737340013,32.024299100288786,30.91299203969658,32.896982047459296,27.393442624379094,24.218496258835007,21.359858557368874,18.14557391624517,15.200337532814501,18.71742612623477,16.70949299769153,20.80747497395217,21.485785824722733,20.844184516956698,24.53381987931541,25.44429381471002,22.832333231162234,24.945461560198325,26.307729018112298,26.01137138485579,29.264395740382863,30.569506534200496,35.50093397934772,36.95083513090861,36.334844363521114,35.49004763755024,32.03903643919826,32.4918182904265,30.96046041565298,30.168916760452404,26.841226748802622,28.43553687017716,24.369666429076858,28.94334891539528,28.029765487317913,23.89634471553794,27.209087577324713,27.57834348820996,25.774788558501246,22.223710069077097,23.923126108192463,22.637524783675506,27.180515907815987,29.847379551828475,31.791098094866978,34.34024605318766,33.188108922846205,38.498047913614215,36.31819521370487,37.55014199294378,34.859212778659256,32.437317999834065,35.05810383631363,36.184007289935316,32.89208880765163,34.735186187991175,33.0664805196738,36.689222070537404,32.93234494036061,35.09001538168992,35.50427497312253,34.176632840929926,33.33914404791101,31.729457005626777,32.63345405573952,33.00588286860106,29.003502577451222,31.96684473446727,30.628539432371674,30.93132993155911,34.56512116238961,34.689350442169285,30.56889591418053,31.005791227251628,35.00917217580037,32.217374558675864,27.736003825021193,32.52262564399733,36.06737205894,30.615199554204914,31.08733245260932,34.969673875038396,33.52233752667274,29.98299779771899,33.29034227800467,31.60606152156702,37.48723379034554,34.35999399704619,35.23395682817912,39.19906772302878,42.57464060609476,46.79285712742486,47.39758736840519,48.387740457590375,46.04115080198905,48.05100883907422,45.42624340936192,48.18484354213636,47.0550635201085,41.03683447002037,42.9234168549656,45.192671873251385,41.075565366806906,38.59568611531798,40.66155550202527,40.07873331863369,36.32125406424117,34.23063938070837,33.567766634067915,36.0640146323268,39.758933338796275,40.76583674960456,43.11168791801871,46.793863967093685,43.95240489268575,39.92634253783098,43.20716703124807,44.114273623371155,39.18361080887496,38.56671240410191,41.80471986859805,40.37334118679387,37.214205244706704,41.73488375676972,42.90585147094618,39.072220021568896,39.798360286211555,43.506911393982264,41.587081704056146,43.72550387596141,41.9671604202115,44.76852550485851,43.927362896895914,38.214517831024125,40.428881493236474,41.731581092003665,38.77010223576379,36.0113956451178,41.16214740384348,39.94976182049761,34.53960892248896,35.562401908357685,40.04903964744428,38.02582581734957,33.97653608609816,30.081766300534284,32.62758142451293,28.775687135185542,31.914765228166598,27.16882787475697,28.256825485206075,25.766605557292355,23.19462689531097,23.299171149962753,24.466673957596285,24.47782483506873,27.720942553028152,24.25629315610246,26.844408946904156,23.298310048393322,25.90810484584859,30.491173349261572,33.55178552250897,33.38647255418767,28.55638401251525,30.619994027048495,33.41911136082721,29.12925124725851,27.159580917543558,31.979571628197323,34.46517381301289,33.5988075885259,34.47362276603003,34.71586287023508],[26.602426286259487,24.67197849210588,23.957144271332094,18.066710236175346,19.05012467430574,20.5447512280794,19.400858241911347,23.38048578935672,21.31265144113051,19.31281838428583,21.70212014309317,25.732626926715177,22.989043511255613,19.643241767140236,24.45956227165222,25.99219105414114,22.41672132168606,25.190263745617713,24.71344943355426,27.866504724744996,29.489801851074834,32.84147502244287,32.42338230298464,30.57898891789557,28.877218144667694,25.24413666309281,25.031683471459395,22.68249836056492,25.46626549392462,27.324129729078418,30.072438831971162,31.509303684363314,35.24985960350982,37.3612137530919,34.83677229327207,31.581411612729354,32.15110223303529,30.123379192391763,29.014376997790848,34.72301170166544,29.759165008956877,30.548647020617764,34.879251570000896,34.586971575312106,34.733834273550706,34.12956024216347,37.92216769003078,38.20283441431588,35.40801915044571,39.74300577701057,42.592105788649796,44.22669802230836,45.16264434111955,40.18971268395353,44.07158514559731,44.92895723827635,40.975655053781146,41.39649838063811,45.788107921668015,45.75766602661526,41.06650613187282,42.13372295245827,40.74319557105883,40.82144204479521,38.38368419171458,35.70645976003474,32.05215055721023,30.495638051011316,26.850216947704162,26.27894503231934,24.286731422385497,26.27527015247605,29.279654918851453,31.672948750240412,32.40040134274001,38.55931416245385,37.3310709505146,41.12516921241635,39.96321124541849,40.566305534975456,39.7826870382525,38.805499250083905,38.384721205515426,38.10613958386888,34.057703390907015,33.67299808441295,34.25236151378585,36.63074565257628,34.77793646313805,39.12357747319058,36.12885279051162,38.84366589885327,36.279945937848964,35.511856497382624,31.18073079911333,32.10323555781368,28.09499049765325,31.77075219722099,30.485394827386045,34.12822078448313,33.55586727327245,34.326083420203084,33.935617071065955,33.55048147749255,35.13335727474083,31.47186097340698,34.986759359542766,33.57364251516393,30.580953807775963,30.989113060498646,26.645805235628053,24.567785805082323,21.640311936802235,19.234409626977477,18.22253621361848,15.765634384962873,17.85105190944825,16.235809074111927,19.845894520510882,20.474275893950615,17.017729548776195,15.995511246369388,12.140109202449183,13.0717106319812,14.85802790585498,16.508328773398826,20.535678172430348,21.951765880016264,25.111445917629965,28.890516576104535,28.241582688206087,32.810901533101315,31.98305823207615,33.2601892689281,28.16754554845653,24.45547728956872,22.287469877261216,18.82758568981137,15.789425964833745,18.74236793449968,17.369962355657602,21.252647322738575,20.912012071963332,20.17351094792647,23.790493590207678,23.87050710534588,21.311930514628052,22.94920606801355,24.472407488670324,23.587344670952366,27.08324570647534,27.697920143926865,32.82356386955528,33.78057232933233,32.94112452340758,32.460963216032916,29.075304014576666,30.100792991155853,28.522130779949894,28.58015754510407,25.837692172539956,27.08583234206255,23.894210922648078,28.405459561253714,28.374468874336653,25.08004833821266,28.60072109312025,29.637190439175967,27.994318996084132,24.13948112391354,25.36238321159897,23.366803649401202,27.39716008517003,29.550781540375137,30.935509574289803,33.13050485474705,31.379009400559003,36.87882777930526,35.22884996463925,36.68271666307623,34.62468674229291,32.01519169662731,35.35048989593975,36.89092438060092,33.57521503441538,35.18625440480735,33.149547258776714,37.279264807656666,34.017411040074634,36.36083774405396,37.22033727256119,35.51253867089566,35.029571665654416,33.355466374783944,34.31241207579929,34.886566494431655,30.714231164291473,33.39443304962092,31.956887658795363,31.536879451032437,35.312354157824586,34.78202898494085,30.629288785799655,31.666051251071355,35.351237562159405,32.02322781882739,28.136895487526356,32.98489914682106,35.84764239533441,30.226452601259158,31.124352225470464,34.823586387414416,32.75623421471115,29.482793614235064,33.252800917996645,32.033895173916115,37.76715927274118,35.64356800535696,36.19046899897568,39.944092531766465,43.690541576115706,47.7117966868082,48.635508191945675,49.32051392034722,47.01266901629068,48.955073740289905,46.11711084278639,49.28050654780974,48.38462279988453,42.2286646449364,44.10044972016994,46.88018506763865,42.871393538761964,40.211727104253306,42.448439264462614,42.368860720624546,38.517671667299666,36.2334912537675,35.08723511297103,37.0345614459197,40.688004244566486,41.339939779335666,43.30963997242183,46.74048134100721,43.58941769099871,39.87484067588285,43.004395605361175,43.421311854042955,38.45028101752793,38.154418783231364,41.00331836202152,39.24537318046384,36.401106050625216,41.15256959384744,41.9202192609676,37.88552103515797,39.19885638145166,43.04774184239212,41.490597078697604,43.739504842572586,42.027489524062965,45.20694445595534,44.41405428607992,38.66374737044168,41.1753792263477,42.79725588049901,39.807906567559186,37.22542846228986,42.71238850684455,41.69722745285843,36.23202976173299,37.47665712547631,42.21109126039956,40.32519918376886,36.258590311879956,32.10106514906412,35.18635652990385,31.18578158279578,33.73077856300389,28.678503651856317,29.298226293306847,26.092395104665663,24.23072937483397,24.718754628377702,26.560193328348173,26.492047374306367,29.176616086367243,25.078954448237837,27.535495701695186,23.33416565516458,25.489434253306182,29.684097429504202,32.68453251052834,31.858979784078535,27.23751583771045,29.521066798212864,31.755424787437615,27.012847751555157,25.513003087366176,30.413319026564935,32.369621264705906,31.15951487003431,31.72353123645035,31.86991523811505],[23.774514936623024,21.348624036418244,19.828318217227604,14.202127859096802,14.26765596704851,16.82840083297073,15.79686057766357,20.049956990601803,18.975598043880897,17.39363805494289,20.4555952788663,24.05333387668622,21.06785667095324,18.703337621581326,23.72314146874451,24.705494664389356,21.111744244139537,24.43791680304384,24.56943122871243,26.985695348507317,29.127661062889253,32.12191465595945,32.22048056761449,30.385692798227687,28.104411427349778,24.698693413714064,23.653162271891755,21.150453336546857,23.92505790205155,25.397742379657963,29.237573760406708,29.73066203641152,33.802804034526226,36.17757885994499,33.24738251434839,30.148855587419998,29.96136015226213,28.14067659285789,26.75713635002614,32.17618379235333,27.594507278584242,29.094797866223438,33.40363001892988,32.756167735056465,33.04887808266116,31.964856948892276,35.944859961770426,36.27174936899646,32.890762236445966,37.083079514606816,40.151188295471044,41.48007012490238,42.73283510609605,37.6454540805639,41.65771168504639,42.86922282975739,39.181568045635764,39.52465441626809,44.02880364504314,44.23473113730029,39.859269326789,41.28467490969655,39.95730257156226,40.564269043626744,37.79183310787665,34.850224872466214,31.999829730186043,30.217433339378108,27.29879287337612,26.66263215165491,25.20283277462714,27.820185998117445,30.16507177703265,32.414533312275225,32.43223926001555,38.613617496660595,36.7580230787883,40.38263368776677,38.77209630538706,39.06535110408502,37.72825764851478,36.35010563295737,35.47463144275196,34.89745502017225,31.030878312928678,30.959491039769556,32.21932255400501,34.483964225716804,33.41336288512404,37.88716604710904,35.402919448064125,38.62965549905597,36.0124781807532,34.9200587900056,30.467420586887297,31.81207619185726,27.700938586173717,30.484697985362324,28.750716736695626,31.924462168536493,31.17788016917462,31.156628620961804,30.84467246336653,29.773572342380117,30.96397579457779,27.053806787522916,30.299736383348762,28.641960025305828,25.56859910909178,26.275712567330483,21.98480850223291,20.173434062496128,17.746005613087352,15.36245446096273,15.572704931594611,13.169433681167098,16.154069942189853,14.922819362308928,19.731229589532564,19.999328348413876,16.89338251893583,15.258563236694155,10.826053204604234,10.592231274022916,11.6583573457408,12.095685891120395,15.940215580650529,17.147922359124205,20.12968265684834,24.080021416424316,23.107627227665827,27.708262225766028,27.069274767959463,28.520042135621324,23.408878373030973,19.82240966114942,17.227540060922724,14.241828080160703,11.735124781197005,15.094839380397506,14.90066137656781,19.43484870280884,19.201003112828342,17.7030614269252,21.304903146136777,21.433038444940177,18.517255990065472,19.947944007737924,20.928342437774027,20.270807922021753,23.37012192338339,24.638740739379077,29.54435508607315,31.057346102276835,30.549903199208952,29.692513682627627,26.36149265196426,26.729448805280565,25.53134920976601,24.73362929307906,21.986504715197437,23.99464228236015,20.581518567157186,25.274435565941115,24.793584678442663,21.573429352593383,24.575722061521912,25.83042993446443,23.74669569297935,20.013512510100533,20.939573072444933,19.23375492624964,23.361005631878307,25.67466125360943,27.33134722367062,29.4644983777774,28.26909588886472,33.578661250127034,31.864440879488285,32.955021761915646,30.813531247462805,27.75791773819921,30.961031626892,32.549020048279345,29.374924458435384,31.577651071233948,30.044073527511898,34.11361985498759,31.05943333804012,32.84681917574914,33.49279326472246,31.535236118360817,30.700443501080073,28.752940374887615,29.494866451870006,29.884150170163938,25.593312892034735,28.169111638072934,26.682418034359145,26.30579360074237,30.09462555829357,29.698049740497147,25.54446749327399,26.556851074793318,30.347620727269874,27.207267124877113,23.311743531805273,28.21499387212943,31.244211978583856,25.874072858180337,26.840584663703,30.636889763845016,28.826864799165655,25.743729276109818,29.51614091070789,28.028902025026095,33.733816104254366,31.40288633848268,31.66337731310871,35.46437326507669,39.00066192585028,43.17678991343741,43.849695272621275,44.39420469771737,41.96029009124205,43.81676049421305,40.940466226437174,44.04306852855973,43.20305454972233,37.02867130033309,38.84274200322877,41.64530626911912,37.6839189597084,34.96620445421491,37.21732751041053,37.24843087705227,33.40337691702454,31.04185508160634,29.83875927542838,31.779431951985398,35.43491696188338,36.14677074363179,38.18855283067395,41.715080268541044,38.65499385271052,34.82632960325132,38.07787384035804,38.67290024414176,33.70128553105662,33.355574185598016,36.44949174894435,34.88856672349788,31.965406276107053,36.66835157319805,37.70349363175464,33.90840099766207,34.996735450069345,38.75991899469177,37.007665216361644,39.040917536791454,37.155251489054905,40.23139983086276,39.62549643506172,33.844215572992184,36.13274780445646,37.85598946476706,34.97425833602659,32.1832170604663,37.65999942301748,36.875389773335996,31.389244489940154,32.43106868638619,37.28559952771769,35.637313600426204,31.579224746356598,27.52059988970089,30.905708624888863,27.153268468239187,29.700412730738186,24.635808240333645,24.85458514717837,21.82946944752358,20.2126830357066,20.260905777710956,22.111909677438064,21.661456981024777,24.15637203681242,19.93285343746233,22.293329675944026,18.2054233911271,20.633912084886106,24.936871866154437,28.034549133011158,27.573946746681496,22.82341970518091,25.185662751184694,27.774126403721002,23.26516710381236,21.714755835854305,26.70211905937235,28.973549183228613,27.97600322087593,28.76927126807704,28.94837118454925],[28.419214616215264,25.754466757592205,23.660027272545605,18.43441871977947,17.38300449895827,20.812146109484566,19.294657123445482,23.285314374751167,22.519175130260727,20.212398046414325,23.19906695380244,26.803142188135354,22.917226654172417,20.778597994534618,25.36370905830052,25.962609771990106,21.718675186995767,24.38794857457598,23.531533857381653,25.70539846983769,27.288404526533547,29.883651975551004,29.627727262501534,27.362841341614644,25.389936691719193,22.46989697468791,21.793655481208926,20.151878075715867,23.657097217233595,25.854076465952737,29.887685046624263,30.714844296830627,34.913256045392465,36.700518771274666,33.49544873448106,29.96181599998838,30.041607928207185,27.188279664287105,25.306733730939047,30.277331751030072,25.166874784492915,26.967444536534714,31.038027046863206,30.12041561000872,29.869826952747566,28.643238213308827,32.46861049663308,33.256788788375076,30.132358249255205,33.996382236318425,37.35272763095459,38.94237457219052,40.33450693804852,35.55535201704893,39.72965094909988,40.60145026500485,36.933064394478734,37.7712301492402,42.19814133079948,41.89154288867252,37.67825319567328,39.53404519915679,38.6856925486955,38.81509833073481,35.77333602564382,33.267625233037535,30.573864550595324,29.484171996589794,26.651762008674112,26.87128043621169,25.24988828483366,27.89825543843266,30.301319961992355,31.819003163157305,32.233072645849965,38.17130000357314,35.96204462330517,39.91028690814108,38.038604399548575,37.87435894075342,36.90348018613833,35.12909342174719,34.85891858970505,33.72237779280038,29.649154956736577,30.143044135373973,31.087335658317194,34.05956919998587,32.70631964365005,37.7687330559496,35.37409314839124,38.7259707768759,36.56156151426926,35.91126748967475,31.752145256371723,33.49009076789684,29.663042870244702,32.281022917235575,30.89746322950848,34.462318928677895,32.79615770788041,33.01067671613468,31.84244484118679,31.04680105977623,31.401030350702413,27.963474634634313,31.232748420477748,29.24364996750058,26.75112529586245,27.813798743041676,24.011913991247393,21.575930500421627,19.93236939162864,16.627603585095674,16.867852266716056,13.578115111432458,15.841051291805595,13.27754467948437,18.169284784456533,19.624751347125034,16.853838600373926,16.16657387721111,11.494140910813009,12.315142951691541,14.417797214398385,13.675302290339346,18.51967115011358,18.44681520054963,21.10873068708687,24.39688020691855,23.172369580329182,27.64899457901269,26.213905722874692,28.05188748620798,22.527738909515936,19.32687750180467,16.933282966637243,13.217834636173892,10.094715998207931,13.497121005594364,11.611346571856647,15.979224885209062,16.704914881025477,15.833003760395346,19.505779516975686,20.70282021299615,18.096152849108528,20.535795727932996,21.981807283309852,22.335143407650158,25.69289213097189,27.60338830561863,32.357263230764005,34.532282778258086,33.65964121347524,32.25156662856336,28.60360693236707,28.71082446827267,26.906846362979877,25.77069601916709,21.989777034764863,23.549725640528415,19.191701408299796,23.761848388058386,22.740460806222554,18.683293185479183,22.071551172988293,22.678561263128667,21.056696803086496,17.314888190317934,18.935381060201912,17.42936958090512,21.96197480315395,24.677522946572775,26.737160674974987,29.47377100971223,28.54458730964666,33.739964807377284,31.292195816814612,32.51401537733231,29.643175141847344,27.46686988510768,29.94969748542218,31.02744873143136,27.686406571126664,29.432922449640124,27.804522406363958,31.438592532430814,27.811607283919983,29.9169245263447,30.463741735590602,29.035879516047206,28.379495995671487,26.873766884522066,27.984468613071517,28.708330428856403,24.885071091738084,28.033177601899535,27.213931241191204,27.360272361076518,31.425284146365048,31.538419829978498,27.464911964341333,28.42728883613492,32.53535521813948,29.91477673911342,25.927318646946265,30.80720819821098,34.2611330353847,29.301198230231776,30.15954676999472,34.07136098726839,32.67345894844876,29.656628795531894,33.1832265684049,31.304997902248935,37.038941589204555,33.88579703805375,34.18098724360405,38.145494937962184,41.18817904967095,45.62722260633635,45.80175656481052,46.35596914180411,43.66816812633781,45.316007661126314,42.35664577239381,45.00601643790131,44.291439673502246,38.19037605750976,39.631054972038,42.073781729406775,38.24299907998124,35.42151540902675,37.1573598556705,37.113629212277466,33.58540607392368,30.72338895624573,30.452583045624262,32.29037090686851,36.10281809528359,37.4732187907791,39.56623182564081,43.47939690667877,40.40594834040639,36.52949664074069,40.28994824678292,41.079321756715174,36.11942594641542,35.945896592859896,39.42714993269424,38.128774262831094,35.224727138309746,39.825129953142564,41.19402734998038,37.696389518745455,38.51392693887,42.131861353432825,40.08928721747399,41.79298012476027,39.60299883102459,42.35826474165052,42.076821135120184,36.31217959794303,38.02935852674319,39.74903224868277,37.06889848403767,33.813072728114115,38.935760380313404,38.35464359583192,32.914964610330465,33.322528786995406,38.101050581704065,36.64641285481324,32.63653873255245,29.01935391487692,32.00239932908764,28.61987915619797,31.823675419425356,27.077235008981418,27.436847166748652,25.07619945080198,23.117441318453697,22.545716492877084,23.674390860667938,22.867914771651108,25.677913692404843,21.729038465480734,23.594601845141288,20.018326449500183,23.346971887012696,27.452068343823868,30.82453065360697,30.571558640317782,25.93454308770067,28.63484153789753,31.461481702863306,26.996755541417247,25.780843301068817,30.795007514159547,33.17661009090554,32.193768085142544,32.95721216034739,32.957700344731876],[30.067190194168354,27.708049365455715,25.951674621930067,20.477457293087703,19.61643976742006,21.779942872430123,19.67104930931605,23.25186432760941,21.674900333741807,18.685705436234883,21.147589597264858,25.060528635951837,21.086141469834057,18.29022412752716,22.610450891804913,23.51599540359526,19.2044063554377,21.43792002537735,20.22442699272843,22.976946265968415,24.324438409197143,27.3276519331662,26.842186019200497,24.775169445860428,23.053453579351782,19.729689670292757,19.608221256996796,17.88683081396987,21.327375147076648,23.849558367465693,27.043436949776737,28.623325258394384,32.574723901671284,34.11054679002699,31.211173411208662,27.554240929454973,28.278814610334237,25.34506291349808,23.84989465405202,29.2737963336836,23.9908218782441,24.96174234237791,29.160994556809158,28.714596804203598,28.64445024661965,28.04479836678882,31.813050680837765,32.198329012630104,29.550194223530315,33.83158992936677,36.720678636018484,38.513798421128584,39.454591720168914,34.666063440638816,38.62739839266184,39.25281615683218,35.33408190568076,36.05988422085356,40.40662531369476,40.07399645391177,35.51361451937749,36.954105305131336,35.93664507195825,35.81116701052204,33.06883596371188,30.62443911944378,27.323859530814367,26.267001409679768,22.97315845088137,23.229872088171355,21.32536854095163,23.729113007028992,26.416893127402197,28.015724878708447,28.803782558808184,34.761751913383996,32.97644565772954,37.02174367904866,35.5056815017234,35.66800469121417,35.11348335391639,33.810914834559654,33.890114475755595,33.22373421308503,29.009197031507494,29.00449026633015,29.332366970632926,32.29855698787775,30.29590637333779,35.218276626693516,32.44086095348541,35.46387694406899,33.347722007457804,32.94876534078734,28.91080883327717,30.466041197340484,26.77987621090751,29.944000414105233,28.992477464066763,33.06985426262456,31.316302222225016,32.36051644032736,30.987824733481702,31.008698253771595,31.872658055833455,28.805479570666627,32.530086788079025,31.039585067693736,28.745069959119764,29.218452978205168,25.406259465829276,22.410902365940956,20.17342626306261,16.735775510864165,15.603050383157996,12.243755126977042,13.634758106349498,10.91645251895123,14.881732458125336,16.45966852545679,13.436697981210383,13.269001804940999,9.007530738616707,10.990164435107674,13.996197585505689,14.566274970655547,19.92959293874525,19.98478326444108,23.0153164121841,25.99712704458369,25.680161337637756,30.045983679401356,28.4877480816099,29.691370145782955,24.47007122484718,20.862717643592084,19.515680803779784,15.146887244170552,11.56812936804462,13.99569567922304,11.504339547967206,15.08944832989491,15.074755466739882,14.782107148849017,18.421574747188547,19.271040829877748,17.01262926949318,19.58651550943065,21.65387347885924,21.87403622392913,25.766986397039396,27.174406087286986,32.125883052950726,34.06731178794232,32.66859293235185,31.38444710628876,27.577693669024782,28.30435080937623,25.984476260458933,25.8103415259849,22.110572739064217,22.78027644168742,18.978565901181828,23.31939037949802,23.177041131298754,19.70397812166867,23.63964365026472,24.554183260009236,23.547216479552496,19.55489858786323,21.0325068577589,18.756281294786753,22.78423051481136,25.056837327968836,26.612242166703442,29.31251953867805,27.706371525602098,33.11720197914851,30.843106756708465,32.49217608837611,29.950172759133842,28.19522559878872,31.107875713142327,32.342535209767235,28.87145167125127,29.89677805446509,27.63274163581645,31.58890767830327,28.165685294679456,30.8337490611538,31.87840503093741,30.429717715163097,30.379279524451547,29.142719053012005,30.53832685193964,31.673748685209542,27.970876970313494,31.08439015798396,30.468577929271138,30.114030888967097,34.42665467587712,34.0899580282513,30.012879368527653,31.5385008759679,35.45920806386307,32.494024853292146,29.002330674672564,33.94170830035951,36.91675471793366,31.88333571895659,33.07105058348405,36.867469535903126,35.01248770913413,32.19406709984757,36.051246836534915,34.47666723645111,40.133197750953215,37.56616488247757,37.67501740162809,41.52034918786246,44.756756005715445,49.10449792967996,49.412828789502385,49.73250484119087,47.00245137533582,48.51660846535467,45.32678564738241,48.16841727388592,47.7204357205356,41.531325083217624,42.80749409970988,45.5614029724569,41.885985439948556,38.876474312795835,40.5395875741834,40.9047863230898,37.43105973575666,34.22271385405074,33.899756442187446,35.160443050835774,38.99015495281679,40.2956882742776,42.022626406741615,45.84620966579282,42.43441529257981,38.87265319876503,42.696558888234996,43.05374615519184,38.04836418168251,38.28260297620836,41.51770779563886,39.97528650541114,37.39110307233776,42.19428724201285,43.275092618156876,39.6581808593369,40.95693777107254,44.674559311620285,42.87991194848563,44.60001785511745,42.35606291868508,45.35634445972882,45.21352521437828,39.41558710286374,41.227158963657956,43.213832873245956,40.55875633091944,37.327295995654765,42.614008761547524,42.22543119650658,36.75804446721722,37.17731663119403,42.10124356292003,40.774504206589896,36.75774461930233,33.046713957447096,36.243781040658575,32.784377207229916,35.7446231494408,30.83205827831647,30.969683139213906,28.16573151784748,26.59487763944175,26.262852052602174,27.722394201653103,26.857691688131077,29.350973969476932,24.95960930143084,26.54478786411945,22.494109713649557,25.68557598999743,29.31607664503812,32.749098520324914,31.84585900027635,27.474195461322385,30.549486655587295,32.879558703050975,27.911591017173013,27.31075875843206,32.438752320724376,34.31575246972952,32.958154961955174,33.363598449449746,33.165452429698625],[25.317800109766722,23.043525667036615,21.36685856440592,15.916750507942968,15.174151633638996,16.523045619757962,14.4044847959415,18.079451894860043,16.483849707554256,13.970411664098565,16.775200798200085,20.562134774692105,17.141776801471973,14.530467860228837,19.384229118714096,20.383981368087454,16.657030488049823,19.85559726383754,20.07284518068087,22.642586850587463,24.887686006175745,28.101134761998836,28.314235086962835,26.782727074361404,24.393280783239657,20.703676536745512,19.685810423856836,16.935384550916677,19.57095294185072,21.1956469913086,24.71721128219384,25.55883953668492,29.553973727592123,31.754564381930866,28.9288511012357,25.76859886038455,25.899316109231705,24.0978225408083,23.015261258316645,28.786885832424176,24.26971984840058,25.244874547504324,29.667416265126093,29.35512901076163,29.975559185526535,29.321669618804396,33.33588086682707,33.20399752598926,30.022225528770434,34.61648448067488,37.2560820702864,38.64498089416244,39.544968742946125,34.38320998930768,38.21734471733589,39.34857604645895,35.52889547248759,35.688652849557535,40.1566267154445,40.48056622774347,35.910899718179735,37.06042016618743,35.571965552022846,36.236058876553756,33.620997588778465,30.57829864998339,27.574225505502937,25.64831406329478,22.713004167694333,22.013308931608126,20.619682321926724,23.369850492333608,25.560134425045085,27.82874053890403,27.78520080517056,33.98682258586367,32.234203137069926,35.852373926745095,34.38343371474398,34.87114777602027,33.69552238935763,32.6378200927806,31.93873548939199,31.743039227617366,27.79776014559225,27.318944582590518,28.244505875971704,30.43935124409517,29.071239952621397,33.45772295301153,30.840717542051685,34.001812135897154,31.417361142578233,30.43564219322201,26.055540375192756,27.47740232156652,23.47486989093048,26.381997686267045,24.95541919521011,28.600304103249943,27.489878408305753,28.129518451437743,27.46948208841835,27.11969276724789,28.64689717526419,25.17344778353929,28.910121182329654,27.756297595163996,25.069680420529732,25.164772026602183,21.03673212477671,18.39123168437903,15.559548288216902,12.776082194359311,11.79932842180605,9.261660072753338,11.853852610035604,10.985505984095267,15.47729857633816,15.414133311795789,12.2620802450841,10.654035869726671,6.248371100901268,6.688121308492706,8.954268042533133,10.44654899841432,15.292776007818613,16.16225226683465,19.493331920908822,22.92866850585835,23.033461188088683,27.450040345829787,26.59097140465264,27.3250344144017,22.549059602508937,18.532553462634212,17.248189644283237,13.426058392927816,10.493284629518115,12.870714203947529,12.787697880057552,16.85212412613992,15.782747933166178,14.376828525737226,17.895669019858538,17.599373595479584,14.874099547600588,16.392109546722544,17.937153167781275,17.391977101756915,21.094872485968462,22.185490769301115,27.218668751233714,28.900866636141085,27.764667904470038,26.73141931611951,23.138934102641354,23.91876413135418,22.14404396056038,22.087995491131153,19.298199583068754,20.58311895063472,17.695559031022636,22.217008970840208,22.53445896817326,20.04222210706784,23.454182860421852,25.193508178918364,23.675353071573447,19.653217207168524,20.307366219761484,17.772465938554376,21.35579989352737,23.230291289617284,24.434040553665522,26.54284523794168,24.82026305590803,30.300560163122622,28.70722673259152,30.143928913980783,28.312547276682142,25.62858744923274,29.248224629156354,31.02058523299488,27.73568096828997,29.339804630997207,27.319970707294143,31.739542419860328,29.056941497523965,31.204122485242994,32.34824393027165,30.240097919367617,29.997651486913522,28.293754692625377,29.357934558953975,30.27799113191322,26.191979722705273,28.78040638397154,27.753316635467282,26.784983337310322,31.012281122896876,30.154655790950507,26.059684729506856,27.920401472670488,31.5357266139474,28.17716016092763,25.12437540468625,30.056655068250098,32.52255652665468,27.431699153011966,28.930161867343696,32.57218325115748,30.365407041982586,27.83195260712121,31.98306442672205,30.70201514704434,36.169318239874706,34.40681040354793,34.172848076583044,37.8165647902261,41.326794899665856,45.50306202195197,46.071612838055934,46.15686316623784,43.518943944726935,45.04995883659698,41.792450957142734,45.02304852054348,44.65437231922733,38.386150443291434,39.80752429291873,42.99656139226998,39.34962925561038,36.293533537848326,38.30896772221641,39.009362890411474,35.34938736121897,32.29218510671251,31.22373334183202,32.24605301985052,35.952749488563605,36.765909701975446,38.30688557661366,41.841310039325066,38.34304788504224,34.91769803379783,38.45859754739497,38.56185908365424,33.54944309362176,33.84916350015234,36.80951565524433,35.08710518374134,32.6450965668695,37.55734273433813,38.410613292973224,34.714219199037025,36.31875517306165,40.097683557048065,38.53432803986222,40.331553479354135,38.1748628558336,41.448443571421905,41.27894668241557,35.48596950844347,37.58207496731935,39.774004822880656,37.09168512979383,34.08693480981542,39.662580508621815,39.3998064886184,33.92610868835587,34.64337195984692,39.74873770605631,38.531372454251844,34.52414697289938,30.581151634584952,34.34146922063101,30.816741899401084,33.15163722306735,28.02382256442151,27.63946765347796,24.335697964837802,23.468933866458368,23.357563911313715,25.429568078448327,24.49308013338697,26.40519687801796,21.563781560233902,23.18953697262972,18.656999861664378,21.306333713203795,24.782363938559655,28.08965667118237,26.91563339685459,22.582466248529887,25.680125110206124,27.74865324090809,22.65699410069845,22.223075557076253,27.371898448651436,29.047040632793312,27.608670764028652,27.975049239549552,27.813552512031272],[27.78029189822161,24.980996495864847,22.26049565250872,17.543966691240367,15.117309696013574,18.28448657094269,16.023514164250795,19.55019980443474,19.229618991508417,16.61359333793431,19.74510493839617,22.997865765967358,18.645728268408316,17.274308191050302,21.615135426819375,21.730475885212947,17.45037981598985,20.342522996126306,20.0516607359587,21.66056931511032,23.758958340913882,26.22338134686097,26.52899218022837,24.592489918058803,22.013990213961538,19.068056086004926,17.652241804563996,15.727497510716386,19.10589567909059,21.10547339235693,25.724763609378094,26.064889349524726,30.405370295251654,32.224299943868715,28.809378540644722,25.383005210292463,25.097181838619836,22.416568152388173,20.536562741704838,25.57604270217586,20.858427065668337,22.828512665362,26.977599298529906,26.081747336941746,26.304598229609716,25.066419970148488,29.11380769891345,29.469992125543254,25.982990824772028,30.152207571753422,33.28479483089226,34.66157736791425,35.99091149953722,31.00664249061972,35.11182490992566,36.2353584501212,32.67190393389956,33.252463319529205,37.73620149690607,37.76856345422951,33.63749657851497,35.51097862397805,34.56159339837737,35.189156561828824,32.04513988968182,29.228955772242355,27.094866089576215,25.709853134817834,23.516965771201637,23.640047122222004,22.532528150416468,25.67064584898293,27.399816100084934,28.806116485053636,28.600163133754815,34.49561176436579,31.903404308215414,35.66889805413969,33.574026344935255,33.332042914027326,32.04116954152923,30.217069771762493,29.719115522109917,28.666204055633887,24.65997116984988,25.073622157734896,26.309013724926157,29.120958990122272,28.177072408085785,33.23010205222273,31.161171371658888,34.82130053253858,32.66588895565914,31.865866935566807,27.75440473306667,29.846269823368402,26.131469884363984,28.089642143772263,26.648572619599356,30.172700061612126,28.056083591298453,28.191851372406802,26.75518285830184,26.031993399130663,26.313586808969575,23.086390269448074,26.579687094955716,24.854223803362846,22.68574188984917,23.434579563456676,19.897986731693923,16.89109740177402,15.513876245369927,11.782677808120797,12.268590686085952,8.863224504958596,11.431374247058335,9.444351896129351,15.06794371060929,15.964354711142377,13.680074656860395,12.70760501605637,8.118233738913505,8.472277800187895,10.766096491224557,9.313237413967634,14.90923447220483,14.147957933708796,16.94223772604301,19.82802330851816,19.383564787409043,23.72260126851126,22.2184618527041,23.497749282598726,18.230661761672216,14.661962076618327,13.242182946077513,8.869916940508327,5.53779869046414,8.542443158802362,8.083401124925567,12.746649696727589,12.749313870437224,11.165302652334034,14.785269054580795,15.743908441962581,13.00585350730528,15.467219578268361,16.940828854404256,17.750493591998172,21.21688649312834,23.528678237267556,28.09990610283937,30.828738087614155,29.700174306353844,27.85923952144428,24.094294298849814,23.97788180817889,21.981654348823774,20.71866710777727,16.78298973529433,18.359132858590904,14.14754006589428,18.792185366414227,18.09766977710273,14.809885047229683,18.1971259050194,19.601437986725056,18.14038746714753,14.117614359368893,15.137416327791193,12.947031242362316,17.13505523779806,19.622790433545156,21.544003660720332,24.245523366293988,23.35068726921323,28.51031005599429,26.095703049410442,27.327310449176245,24.643188337753056,22.42773477325892,25.2077668430438,26.52907441168551,23.16854942030116,24.884241233252034,23.219072363098746,27.197017380524475,24.108471334837652,26.077990249808874,26.96440351468149,25.09584831623287,24.73751261328829,23.208812770417598,24.462836673533786,25.574569072217283,21.82904634549169,24.888073341514893,24.480145791931996,24.060662429574812,28.545885113977743,28.31398380733869,24.326087429796804,26.075355414611217,30.053572660861537,27.389062468075604,24.238775833198062,29.120804483804786,32.12334322029384,27.65238917909342,29.032849039636915,32.817277679463956,31.24622880593152,28.890550786364184,32.719396269821615,30.894924870300965,36.32666360343797,33.654527600741126,33.270463066056685,37.074144698607874,39.95440354910707,44.45507469177283,44.392731617846934,44.40762666037035,41.46040369345081,42.74097710755845,39.40252304606727,42.14901174211827,41.922726794014665,35.73143153606695,36.761526923554534,39.619939894162485,36.13456848717149,32.94770990477566,34.48946164655711,35.21139265548228,31.863703472647114,28.27611426124217,28.043190920555755,28.956686326457955,32.811168407928356,34.301583168666525,35.967577758649085,39.942464030819195,36.53974940595538,32.96400706141958,37.06197623283638,37.52664164686026,32.55907366948111,32.93817789725369,36.44895369091366,35.1591420332455,32.65398308102019,37.36731100046763,38.74585390817988,35.53034993571139,36.647364127142986,40.194622304012846,38.213145006532045,39.547603614066084,37.00504401553689,39.86682121050632,40.11672998969375,34.35477954265548,35.740608089345606,37.973855255404956,35.56692181564782,32.002013959624804,37.205799489448445,37.29260148579996,31.887241185811725,31.868139307983412,36.96549030610627,36.10323976423068,32.1809715523697,28.746332072110977,32.32935505858072,29.347170893796463,32.22520322385734,27.444661530275773,26.927624501953897,24.434410445732333,23.4095793891837,22.441401137023753,23.838294776730475,22.304252792861377,24.312061739585975,19.694448092685302,20.72429193246987,16.860923493272,20.617340352030354,23.97735558337102,27.582074623970357,26.988334217378384,22.700717134880623,26.0655800454813,28.659391836711876,23.966827267572807,23.68875087333872,28.79538360304336,30.856123648524374,29.673101684494657,30.231327151800038,29.974539899412232],[32.412829681162506,29.786420776050647,27.288741046803057,22.379922959290003,20.169795417565393,22.736795199754805,20.046071569829696,23.122425180857178,22.151256994505186,18.684738085350574,21.168910590626083,24.700736525159016,19.889855087936837,17.95922015317095,21.664231663741973,21.870433191220055,17.133540997903975,18.936769827716432,17.323121408232236,19.35614798439387,20.626482206349934,23.15956260067352,22.842492081244934,20.645250299193417,18.655629508916935,15.737927139685556,15.375008899198544,14.283770150571172,18.23354096426689,21.16122804870415,24.933755826572042,26.33528140622988,30.450222912455125,31.562057043847876,28.29679638675329,24.41416834217239,25.054756086756765,21.426145981194047,19.519998352663844,24.57916911318388,19.146182282804546,20.493918468414982,24.54533454619422,23.87164612525666,23.711997261237237,22.994584483794885,26.786918038492253,27.220510425332954,24.531824775205962,28.76398704549897,31.69871057495055,33.537805842647806,34.5491509483211,29.86009325927419,33.89371115947334,34.46227743559225,30.64044528588745,31.576968429270696,35.91115813464815,35.440661538793556,31.09573133742181,32.92732644392122,32.23192718028747,32.13310229863323,29.06236955164735,26.72726407352359,24.055532842775207,23.353384391487996,20.72066429214179,21.622473433345668,20.072612697574066,22.90792646402814,25.00442055235289,25.88507304837286,26.45121392314467,32.1402568861269,29.734380966339682,33.87550970304605,31.957296081952833,31.670097178910165,31.156117323129788,29.493368180805575,29.886415047059405,28.843520710864684,24.549528471645335,24.94457559620035,25.2212652892667,28.625413581407813,26.738228272735284,32.107898008671796,29.69907134623329,33.072237979043045,31.327742303940436,31.133712637623596,27.392895347867025,29.509750098801856,26.158594582694473,28.59932325821138,27.83494282919132,32.04415851808225,29.353827400099462,30.440464092429043,28.29673349551659,28.540870324461117,28.725594847522522,26.213909679505466,30.001045755110724,28.487571702743004,26.84897737594412,27.351662978386518,24.136080050133796,20.507088263762817,19.062546220394214,14.966630364963688,14.040243037875065,10.197429023407622,10.882438557726648,7.2024697425107265,11.804461935065929,14.083614598437546,11.905815550687088,12.364113314269874,8.41488127784054,10.662489831984573,14.092077359971194,13.50527661375055,19.475662014395784,18.3826745446917,21.13618547384392,23.281866618972675,23.314804046958372,27.368680565647438,25.24718020509243,26.304922736056618,21.139967303698707,17.741595324102068,17.316664571766648,12.347799190397168,8.579984976278995,10.12519815798244,6.636262507871365,10.066608390681228,10.372387891708266,10.336672283953833,13.912261286676872,15.545338838906071,13.603054863683624,16.932456373153215,19.2978765645659,20.524632859005585,24.504892763046954,26.595438001152644,31.212735249039913,33.95935856249835,32.22289955348396,30.278187502725064,26.26067703958251,26.59993724756921,23.796973315349977,23.281008488456813,18.842933635502032,19.076757450536434,14.74179626120395,18.86302344273357,18.56754441823479,15.089892591815788,19.31570446429589,20.274831886499204,19.84187124148419,15.789341782838383,17.334469114906458,14.792042854426427,18.667042261601804,20.999524098654508,22.71488363740454,25.80117299289929,24.45646120827148,29.652161947125816,26.868946444994595,28.602332994543424,25.67319697322943,24.631495420132197,27.145157649604375,28.143774339158377,24.59117119744718,25.175500178974943,22.785386990896153,26.628152034719587,23.16139074802614,26.010169933765273,27.248069606432328,25.90113824397442,26.240973384568605,25.366294343400142,27.1040189520176,28.720956846672173,25.497175855701105,28.84142120126973,28.92845624991664,28.563601020427875,33.22086105771517,33.00567642358197,29.1081478482992,31.04045702191205,35.02385141373029,32.40258078265976,29.38882341275954,34.25814755733606,37.205770251786674,32.770164099912094,34.19016208501183,37.96498054036024,36.293100271580656,33.92708410295937,37.79834697728131,36.004687207375966,41.47254542561883,38.70220856108759,38.396351531577956,42.22227990272865,45.021356040225285,49.56062834715042,49.38996738463276,49.36125290064916,46.31727739049524,47.44822315392943,43.98871357659938,46.57191536308764,46.524399449101175,40.384095613809414,41.14199588485136,43.90310746693896,40.57728667208172,37.30230654679749,38.48308031953367,39.301628973498914,36.19008374973935,32.24701251976514,32.54442024376833,33.1322762723659,37.024114899573824,38.817948293802864,40.290793680319155,44.370048574908566,40.78401589170966,37.41761936997309,41.74113771627598,42.03187739882604,37.08805280501963,37.75954214755158,41.24257635574322,39.90292057478939,37.58414976149967,42.344720629678996,43.656440146244655,40.43943514884666,41.71733542141094,45.272846391543695,43.32883877550867,44.59092003124449,41.94538160271849,44.77560844689079,45.180954282322034,39.43727367167523,40.660796687728556,42.952961364952216,40.61967525245949,36.93227907510084,41.99563799868675,42.17283504350172,36.801244242577766,36.55429940707256,41.585889314085776,40.7822908785069,36.88610576079169,33.592234701451716,36.92002053657354,33.96818152008094,37.08219885493434,32.358808584890184,32.02517340185137,29.556799489034958,28.35788340908431,27.431349533935222,28.634254536115836,27.128810724142934,29.273691584421268,24.736743808143984,25.502414145705927,21.7244659290748,25.606090641536266,28.61474781749205,32.29760890319192,31.366109409386258,27.342080769117544,30.947045462108818,33.29607626034879,28.328605271543783,28.434697851186723,33.587554291518785,35.37433356690709,33.951438569751645,34.245160751371046,33.80254391917313],[34.06048333440343,31.618504561311934,29.250316764221193,24.364541859302314,22.125539260388532,23.82787736375401,20.705197119872498,23.247652629866156,21.836450615277315,17.859248522362943,19.815682168258988,23.38235138532218,18.414823239735792,16.259555143009887,19.403224491609205,19.661433120256564,14.866976000622167,16.07118714483636,14.059187925605684,16.41059056466624,17.503291328416726,20.338852307788358,19.919634284291806,17.95672828639999,16.0623940973335,12.80213243283773,12.886106007170973,11.887790348476546,15.798371604777358,19.075479668009848,22.198244331511077,24.17814463089954,28.068467397843673,28.868568240994264,25.801592481994064,21.805063606825982,22.984653010771275,19.20491824999867,17.639051318481073,22.993888719691956,17.518736048778507,18.091638332402404,22.251523791101057,22.01527652957528,22.08160630013483,21.968931110254207,25.70177729241203,25.701866413955834,23.433633841045243,28.0238909163374,30.495528543357644,32.49007663418524,33.08123982085195,28.43672802930477,32.227461477562485,32.54556605964123,28.59139883413211,29.407398177719244,33.61920447710744,33.12852264835274,28.52326991643128,30.05365630105149,29.240776362887384,29.005004202781066,26.117797467360038,23.80958428569309,20.781969278729132,20.128791061844893,17.321073185035146,18.41737509384446,16.790704223666978,19.58709832996156,21.657964155573875,22.40392466795432,23.17676194843229,28.814067629753083,26.61505254804421,30.827921696312053,29.12537767650914,29.048072079862067,28.86628432993778,27.57596204185268,28.300158541372067,27.6524697062501,23.31690933444027,23.287550281700938,23.00145230615843,26.42632172135284,24.02524611456482,29.328247590720387,26.703471058892163,29.889015231946924,28.27280214431964,28.320338227451906,24.793572591531056,26.899881340857814,23.803549428764104,26.44450574422933,26.09922462814405,30.683711338317387,27.744366200755017,29.511369222139244,27.075683723909894,28.04875774396764,28.546542962292676,26.481778365409067,30.571427392820436,29.48882083354125,28.12018519586312,28.148405736953098,25.104836003373016,21.08649868608641,19.368316249809833,15.307415847905586,13.293162092903408,9.687801668762827,9.061215258615583,5.19975417090762,8.639908517359794,11.178110731699393,9.167161620653893,10.414629739675389,7.575298678953486,10.623663066267559,14.48868524416237,14.714623597866412,20.769173516755558,19.667952402510974,22.5504749048319,24.278596982524917,25.086758499332596,28.90945513081109,26.711008071437064,27.172892111182914,22.460788656658046,18.898114953701413,19.36302958996228,14.293986713842664,10.852858451110675,11.023711567714647,7.569151521231333,9.343839133327103,8.625420448723762,9.371453909425268,12.59975888199958,13.937350396012363,12.562741850747862,15.991660090014426,18.87252816912031,20.145049450987734,24.435246919158303,26.213212986858053,30.814803451789352,33.501570636182514,31.315803154030707,29.351070469369944,25.24326066778954,25.995084511497243,22.732729680395394,22.984779282558097,18.665045084046174,17.9837903760891,14.332434389752402,17.978339539441897,18.563497176368234,15.921017007901597,20.405163172203167,21.691213588525386,21.81528505416945,17.764181843749846,19.027475442103533,15.926806609702522,19.052061340208084,20.857520338359652,22.06508325884643,25.089881342855843,23.222618204622293,28.471470344654456,25.81159129975916,27.904199819037387,25.29223981477528,24.727183427726846,27.519161486770294,28.62570763585601,25.05893369736958,24.94252978660248,22.027478150517123,26.091720009370697,22.95447531054173,26.213025888826373,27.91975222067209,26.532815255076724,27.431836012174642,26.819430231130603,28.75913698551238,30.70569150576593,27.67319158913965,30.91200566243384,31.214391842819147,30.45587920024372,35.257673030048736,34.70389197867002,30.896973439722043,33.27956453720252,37.07017729972344,34.270027945972245,31.74169780719768,36.58290467074528,39.130027492784585,34.79012040556314,36.47524290579365,40.126600897804586,38.16582031197093,36.054644073716936,40.13862510988338,38.53987805661726,43.88259341947495,41.545103404415876,41.02484011347429,44.72801893827541,47.59376716985621,52.06603763120744,51.95171896483496,51.6732462585013,48.55112970105498,49.515116446722146,45.85433545377098,48.54832647025966,48.770820904927774,42.62175735336754,43.17810668317362,46.17741932267437,43.05511452218052,39.631422208595545,40.70132003887105,41.900946709633885,38.89280638798498,34.653506201814125,34.94312622894378,34.97712407976073,38.833587954359025,40.60622461064822,41.729808990793636,45.72849042350392,41.881285461060834,38.83257428862726,43.22824986284086,43.168571740025996,38.25283095771878,39.301497453211276,42.59671107189844,41.119747962128955,39.115915535737315,43.97635128214984,45.10002215053747,41.896744513274484,43.520340591263384,47.095913129411514,45.33043275413882,46.51661577456511,43.78640355505801,46.76304450946303,47.36050835417426,41.64293099898458,42.846030926606815,45.37778687156695,43.126947698932305,39.42906436263417,44.55941127771637,44.97088850956383,39.621301945230464,39.31031838779754,44.44719521925721,43.8225916759703,39.9603930142445,36.65432840311419,40.17924830597017,37.24506427265698,40.176761980155625,35.365839289536304,34.78223099152982,32.06492750048244,31.22670671467102,30.398565499178574,31.8134374634926,30.20058296408135,32.03257498003885,27.205759885280088,27.665290565881488,23.645283694465533,27.413108797652807,29.919283214013642,33.617512175004464,32.224324269946166,28.525823002077164,32.42285162365078,34.372030920526356,29.120883550474566,29.811091707472283,34.963098684843075,36.34684073358971,34.66674999600301,34.67634835720739,34.05176145935014],[34.054315804195305,31.874725220399885,29.89173023490451,24.8564874366571,23.078534577878827,23.91239063310188,20.678438953127127,22.99484161623214,20.970277395810257,16.789041806415415,18.289807834273645,22.05936362529516,17.394554311806,14.612479391403875,17.62826559001694,18.309157268496513,13.743773805667724,14.781184582191447,12.840435273215196,15.900963021086568,16.98739895856662,20.34471860409652,19.847069974536723,18.29202171611397,16.57763852440115,12.796629377828888,13.290087614767325,11.830510335754163,15.226831772046525,18.44548224788081,20.72338018645712,23.22470622429447,26.85152911380506,27.67211326513039,24.976564155314236,21.070274745118628,22.67513792979041,19.31894746956484,18.32101235985602,24.058731213735687,18.83577424024773,18.600526199469314,22.864295629453252,23.147486606242012,23.550533448780712,23.90191226526783,27.565959608540155,27.1507394520515,25.136440491892365,29.99969336939051,32.06321698733408,34.080025896973915,34.324328721359116,29.629926479301318,33.11069611555011,33.35157878627987,29.295734583225933,29.83274718875548,33.940008182787096,33.62114505272573,28.735642454167795,29.742899659509497,28.61294293753934,28.332438388329315,25.833283439988698,23.42690806160109,19.77547710775235,18.869119898812528,15.532974990745759,16.316683096021034,14.435943969210816,17.028098308279457,19.389312457489677,20.525735917419443,21.502797410542232,27.277511631613944,25.603721852648714,29.769329249225816,28.475218505846875,28.842750138555125,28.848661700815455,28.079728108505417,28.80553423919946,28.693740251100447,24.42124900856099,23.821364393205428,23.199853473094024,26.2933594542852,23.490691271686217,28.41924427547673,25.428840953586548,28.281862393708778,26.524795674932705,26.620660022624683,23.0767913280978,24.878497265732218,21.79771253604104,24.964785996876884,24.841743582902463,29.650555127875368,27.007817819722536,29.26497644593598,27.038511855202238,28.42946482005412,29.538898431628862,27.51831504746751,31.791241880812887,31.062224878848667,29.574318088792875,29.21916766519892,26.022263434654928,22.00069842411106,19.70982463509373,15.997937018836716,13.096786250348622,9.999149775920532,8.87000016325346,6.070300699060429,7.751948026560385,9.800920508548469,7.3025448926400784,8.856272804608324,6.991199960184625,10.445381876428666,14.405321101518952,15.716165917143671,21.576901868706525,20.955512881785296,24.061795274662057,25.9015436195945,27.11709946894455,30.937222553124684,28.982098204915985,29.07642199914439,24.659677443746244,20.83988077453626,21.50863295797191,16.561150038342603,13.21190922804242,13.247500508880247,10.596705364733841,11.860531509383925,10.241020109650938,11.046902634848394,13.957319450513545,14.443788173232505,13.266875135221548,16.231747979406048,19.28773095997943,20.067786757544443,24.5419968554664,25.74484607443839,30.479633158663248,32.76079320225896,30.361713339952352,28.696418924686274,24.627029828748046,25.896317871064106,22.544992774072487,23.56330249638019,19.77749991512579,18.735564694271194,15.981003909214751,19.400402606696794,20.66717113432358,18.63915848672214,23.062531714911817,24.58428449432841,24.70738933079775,20.648967024454688,21.67481142505221,18.351738524688862,21.074441567630608,22.468537411299465,23.208214344103514,25.91806764752858,23.525374410084705,28.9033930181435,26.676566155438394,28.95179332788095,26.84353807007745,26.17637553958882,29.40734436407982,30.749428441259703,27.232318236646435,26.941508655893188,23.790215194036524,28.076354521236524,25.28127089545335,28.637852013181135,30.54615857544205,29.0363698924131,30.077419294728337,29.411942679809847,31.310307458112543,33.25526816238218,30.097070946436016,33.15155793514785,33.28173379976431,32.21082666499063,36.988007433243006,36.109809793409816,32.28652640905235,34.853362316766905,38.47045003411273,35.37785447896956,33.03781252794849,37.894130338622226,40.13010636282334,35.628553073213155,37.44126565911736,40.998895339561884,38.73354647453038,36.666530125854976,40.91690043792565,39.56227301108751,44.865856688966915,42.97310004369952,42.431270563177414,46.04332233432504,49.15112873111231,53.469662709719,53.60172758810892,53.27313489489589,50.23606454601182,51.23382931871807,47.53348578317299,50.44621001317191,50.703328369204726,44.506141105764556,45.14194749689566,48.349754592248956,45.21658405378295,41.7814234348631,43.009578817487515,44.32027292948562,41.20765004722556,37.06291463957002,37.033279773988966,36.94735944772698,40.75506739201906,42.275320843998664,43.24194557903099,47.0542321307603,43.08418238369311,40.19485622552544,44.41792679699201,44.10471203705547,39.18785104779863,40.3408724110237,43.37891142814895,41.70391022607598,39.84127671521329,44.79954442765711,45.67207019310857,42.31969502727567,44.23250621528984,47.888895099441626,46.32901665293288,47.646065852397754,45.01841692033806,48.191461294024286,48.70828971930264,42.983969953990695,44.42601138174197,47.02674990220954,44.70416478240334,41.18572478731103,46.48232155448527,46.8503367495086,41.46848976519286,41.390848753812655,46.58498172317493,45.89409124331436,41.99238485250651,38.49812277035374,42.15644408550639,39.04089363618373,41.73896977424795,36.78403447960152,36.16213076379251,33.112453627918136,32.439563939025646,31.894650583890634,33.58330140181178,32.116249616780784,33.83584132660266,28.82891265727664,29.392941903850648,25.079156745032744,28.469412305871607,30.842340513959993,34.44430201943654,32.68305599201988,29.10235431976112,33.01716364817817,34.639027842363575,29.172160839609248,30.047587083149033,35.182431715151765,36.26674601438788,34.38956546254886,34.22271773836762,33.53202830256367],[34.4513556602007,32.46285543873519,30.825418854919345,25.64147166093957,24.34361265438933,24.77035956852311,21.662746860478112,23.954777091384187,21.514998835262638,17.416811409388306,18.600380728872672,22.51871321095644,18.306962487363812,15.032081382999571,17.98606034663796,19.063401218826957,14.889449178486723,15.745897514748009,13.808178781745019,17.179474243198992,18.02698630924266,21.53754141184328,20.82149138854299,19.367669841764616,17.99738971843686,14.229471807095754,15.10915187345904,13.69480046765993,16.66779080428707,19.741115385499086,21.34117748833154,24.180816189834108,27.548439631711283,28.369643886742185,25.987078816192025,22.20271739176971,24.056778808645042,20.950197496871315,20.199542101042976,25.947290604374945,20.80912389424454,20.2059259170535,24.399978081793517,24.944771731169165,25.332452286897684,25.874699115325324,29.443571013423796,28.982774443548383,27.17242311928544,32.05160132627114,34.0032650243147,36.0783785854849,36.1822280038777,31.549467617002215,34.831603450767275,34.9681488717991,30.919465785634902,31.36427488808949,35.347954421241376,35.01139789677037,30.00563938855177,30.726698252719892,29.489198562598673,29.030024603913848,26.798849840260516,24.50108155140632,20.46747106156605,19.55887134732477,15.884797780252221,16.450913376217358,14.302524810695958,16.440652853392503,19.174346585443562,20.553543406397445,21.837539155431397,27.569182893823637,26.328666719561756,30.43757119363873,29.44051537414514,30.04687430471551,30.233222120198338,29.73328322615601,30.489261008868496,30.604275884395086,26.401509591261775,25.594144719397075,24.76350437931837,27.685576836675498,24.639966447028915,29.280674564856028,26.061173175931476,28.58441020252996,26.774448657913393,26.930845488380317,23.42451239373982,24.887141902150557,21.822206473838634,25.442967003451653,25.4476857419495,30.313037846739306,28.004127541376462,30.49272110037202,28.47956905027085,30.018764748742825,31.429834125534782,29.361573450385183,33.66286773645866,33.042903071826444,31.425241266394984,30.9526558816032,27.63063759960969,23.771661560244556,21.171667902174665,17.789635090057956,14.631260594728515,11.987997340716229,10.913606436169484,8.81654464878981,9.359544620430215,11.064519920534389,8.480257291918637,9.861361587602198,8.57243859746608,11.832320483120842,15.565802280975712,17.463309232290715,23.036005924129004,22.80282186129257,25.988103771488735,27.97369177582926,29.205569833712328,33.058725029816806,31.223208391839503,31.2673590391721,26.926201024792064,23.071707424659955,23.578550449399373,18.817127506664438,15.586696434324528,15.72765080518531,13.170760145959058,14.151551676526507,12.575043254417052,13.529972760219856,16.219174324284207,16.444468962360016,15.389780082626787,18.000247915600923,21.00746543352435,21.406878173745536,25.870118682403017,26.66887222223316,31.48293647603259,33.36995551033111,30.955533919755265,29.58989771225208,25.632778236845308,27.200244249657207,23.93124917755702,25.298385462914105,21.835844901967278,20.718302098012273,18.311295741642027,21.580981979823996,23.010853270965267,21.043795353735938,25.44034586359951,26.908571971443468,27.02365304912532,23.00376430549635,24.039363728810425,20.761577560237818,23.410144501861453,24.6801549129482,25.261219035109395,27.808886542308834,25.21387523628671,30.586701400693716,28.577614721645272,30.91241475538009,28.987896750282655,28.277726808535313,31.62676054994381,33.01530377219678,29.532031825215398,29.171219250541647,25.947926184458648,30.225180713359585,27.404343029896747,30.847055298399237,32.799303744538506,31.321182233412145,32.38711475272218,31.713021058711085,33.57712341631091,35.45940853763822,32.23833600538239,35.22125391161567,35.200703596095856,34.07371626766051,38.75932054034258,37.77485731755587,33.93359439075911,36.456491772796475,39.99751677447,36.761176666196384,34.38891512691901,39.2403787470331,41.37366428538098,36.70615778444601,38.49835569809404,42.014244996943255,39.605818280653935,37.45448179057991,41.743141031725386,40.528168510555375,45.84645912440688,44.13728261604464,43.691713196679316,47.27082320477154,50.53305046558857,54.766469290080714,55.0623249714639,54.795126879865364,51.85515265083574,52.93544466432632,49.282848378540685,52.288189035372966,52.48312741779261,46.27853996019509,47.026408852459404,50.268746404975026,47.0740819459042,43.69591728247982,45.02979428588641,46.2688242412842,43.08393970341699,39.096223871112954,38.910883630795304,38.91413846408223,42.692704096325684,44.06150747818763,45.02446781777789,48.72970549016583,44.75725170157861,41.892725344805775,45.96133119211146,45.574095774915186,40.6577538240767,41.76283748364332,44.646782783857425,42.863054533287006,41.007558088738655,45.99118157418177,46.717424366415834,43.231321700333986,45.25284097900514,48.9634987668901,47.51324546680249,48.96824200304098,46.465062785786344,49.72470493576401,50.101595718358375,44.38102202569657,46.008691574561496,48.55689149961546,46.151899445614916,42.786389752605636,48.15269515128558,48.38940287567638,42.99054489409972,43.103741712416195,48.273360064654035,47.45639035712394,43.52946664583901,39.91293525908068,43.542297743878095,40.27399010247747,42.88744456026511,37.873563393368165,37.36444810525568,34.15682433748323,33.44572726944434,33.12630573617796,34.92059018655975,33.63961137410744,35.41143685166184,30.411170710238988,31.166824766791397,26.747235379507647,29.872366306989434,32.31210487072612,35.806846734447326,33.93863110488611,30.352143567337944,34.12904475880786,35.607061501781246,30.083793815969322,30.875231979836517,35.95957542536532,36.92940193378713,34.99390943989014,34.76846264696227,34.11949116278356],[36.361527227246015,34.43320500641626,32.840830401257534,27.71615145126196,26.4204722654178,26.7097692213307,23.53969835440647,25.612120588775863,23.064084825828754,18.851627622326465,19.68049090313317,23.529404424542562,19.358333849354505,16.01971982503826,18.494400606231995,19.624111321369156,15.600735863922631,15.948071026385472,13.70106811840086,17.191081454173688,17.67046418491734,21.1674392101131,20.20349420857886,18.78517481564025,17.8088330595948,14.228796270636145,15.530672962222654,14.418616223059743,17.181356878128515,20.382676952277905,21.45749942936287,24.670198188103242,27.829262602072397,28.39623841798937,26.18342751447693,22.38234486047964,24.553176810161954,21.347806479655535,20.741726403682815,26.31617741808257,21.20744007198839,20.27140012049794,24.290670099484366,25.02007956739982,25.323392741102907,26.08863601773569,29.519919358845495,29.024683521928996,27.523535578744415,32.36239302866065,34.16755940559196,36.34078830837164,36.29259183865747,31.837692460879502,34.99028557810672,34.88866137372882,30.840108803630518,31.326027939656143,35.17495585479948,34.689340776726404,29.633276826852185,30.223970452981753,29.033297948828746,28.31397641357446,26.23154346475339,24.156625110872888,19.918911724406403,19.234582737392074,15.41783531686735,16.1675756288801,13.892393788722263,15.796302700516868,18.618018666962865,19.842331218919252,21.415882524775263,26.97286582818068,25.920969317392967,30.067893896449455,29.223454178439404,29.88380986435705,30.343189944437697,29.98602080953647,30.995185352586525,31.189739497391944,27.0341788620718,26.14938040172859,24.994639615175114,27.96174468794553,24.62274505582115,29.180665155312397,25.852415526916847,28.17254591587727,26.51706941288983,26.889503067240728,23.59242395465595,24.99404665672611,22.153361745998183,25.910266768360167,26.184583985980396,31.204278254317973,28.768741546826128,31.559134713737283,29.390737610262565,31.22294226865875,32.63239541789529,30.795653957208344,35.132399205731986,34.59040221586281,33.12237797697382,32.58409225839053,29.383485434419914,25.441755844182108,22.89669752514676,19.56257158265866,16.220973934247535,13.798491063418348,12.269962507012316,10.35569363389407,9.809212453187618,11.554623059153053,9.361448432879204,11.1289297553917,10.71777725933793,13.895761122912912,17.54300029436518,19.460625503382662,24.99635886094368,24.638179174860024,27.750011288807013,29.549704721604424,30.896287974803617,34.63225773461369,32.68778008314054,32.65743671168846,28.4264246224382,24.665224572554838,25.34237570422829,20.61226308381775,17.448940781935814,17.390253776463418,14.568334341213136,14.968525173218076,13.538573134010626,14.822458891175696,17.189759421215808,17.43304463819626,16.714442761752956,19.303894950113587,22.426300571413954,22.89267862992591,27.377141746102346,28.07736982402903,32.805218537681114,34.6570402530004,32.07108924810192,30.704033203087587,26.755620617689257,28.462110493574244,25.035007364568106,26.646266968465458,23.206438712525873,21.748273204685564,19.553670700656365,22.4938545058686,24.05486698149157,22.17160576785814,26.600892962220286,27.94312108501459,28.3010140406074,24.37740194018671,25.481765395816936,22.22389183125146,24.67864520918359,25.832586070241955,26.289872102203688,28.834735406230376,26.120654565955437,31.388161035558564,29.37117001029754,31.81280048128697,29.92956058919901,29.52896071325985,32.78133813673873,34.080227526733474,30.61731721080411,29.93719993571064,26.587890182867817,30.714828188402553,27.898728081321412,31.505693256320704,33.53113985010584,32.23937540535911,33.47663618588542,32.97706266093606,34.94195561505431,36.927680449391396,33.85134975699309,36.870113482155695,36.97308495585181,35.85189813262716,40.562740335343896,39.576075862118415,35.785453360105414,38.35532919762546,41.87820638558835,38.67012740716144,36.36615038115918,41.191750923773654,43.28905827868199,38.67621925162489,40.48376626643534,43.97751636595123,41.55229420180522,39.43752450140095,43.72009444704675,42.51183754607287,47.81693522054283,46.09492443305129,45.649065391981935,49.21632884926046,52.4424762657231,56.67679157469996,56.93153940699165,56.63616131740318,53.67574171710436,54.7022801206327,51.01692495028673,53.967550038696174,54.23154251328281,48.05649004566506,48.720546590720474,51.94194616001052,48.80739591257183,45.40895745732548,46.65087859333013,47.92843185224284,44.81394934430231,40.742625558968406,40.68342727048193,40.584245802286894,44.35520138271909,45.789183573898896,46.67968847284092,50.39140829217287,46.37779300978334,43.59882276508232,47.7108557130987,47.259503790545914,42.38192558843799,43.57812427497676,46.43670849560664,44.64579601914032,42.868281379018406,47.84401807679521,48.5467803743482,45.085678997466225,47.156744939368174,50.85564757074079,49.42160807938142,50.83852470555742,48.30429808954687,51.55187563606031,51.98520618417884,46.29101320055122,47.859340374931925,50.4327200043143,48.062322345719814,44.667143185563084,49.982549985042525,50.25879425410351,44.88817767035649,44.932478847086415,50.077408860835284,49.29250753019791,45.387860233145624,41.8217153352571,45.39428125394821,42.15266566629029,44.80810667477137,39.829767155669224,39.34684105354826,36.168508473932356,35.439305031417646,35.10547559003777,36.84010680894222,35.54918935520965,37.333476351734824,32.372210728648554,33.04033287446543,28.69091634283645,31.819322330426186,34.131139610517664,37.620810528444565,35.665051455348284,32.19623488528755,36.02584841089331,37.41590788940106,31.86526460217097,32.80208689135645,37.84627938855625,38.710824564904804,36.7241375100688,36.413118909994374,35.7214752304491]],"stdvs":[[0.7923807233758605,0.8097305710414232,1.0837260676056215,0.7563322835015649,0.8837761998872251,0.8648766648399934,0.9416592494537103,1.1195385203411028,1.0609014387292413,1.1517282290902813,1.193460806272487,1.2264473434701306,1.2753931146170627,1.2698670099996614,1.3872603363800637,1.3800820330998655,1.4296667781745447,1.499942540462783,1.5722277935063025,1.5813438158930326,1.6768305894231263,1.744825467804596,1.7634667623630835,1.8916463231733067,1.791492425175651,1.7020519792977042,1.579940303912378,1.5198947162813345,1.46112419237119,1.377016860231468,1.4574150078504358,1.3644328606601155,1.413639036426369,1.4212003309172418,1.4303346328304756,1.4374885785203988,1.3733667642327883,1.3097165998552889,1.3164565308860008,1.2042910479614513,1.350772717436177,1.4704311586130707,1.255836614669116,1.1957983106306769,1.5572265395750273,2.155593360835021,2.8885935447394706,1.6299896199466841,1.5135296885844822,2.4142885284429516,1.8787803366780051,2.108915154946429,1.7959658075634009,2.5441318845248584,3.5181386036501934,1.536754888792069,1.2817470794911865,2.2029223962559787,1.910955996620893,1.7067989704804565,1.3180457525361702,1.3349210672152125,1.446909256696275,1.633337443258601,1.5237115729613886,1.4507147961177471,1.7243248254655157,1.5470296786579878,1.629105712399391,1.601161073242558,1.73610681476612,1.9282771681543982,1.6479648631375776,1.5970346612325963,1.608855127287843,1.7215166193006834,1.4981154503147267,1.4537896018524323,1.4538644241625067,1.4122632825987298,1.3337444764980768,1.4257817055292932,1.3339207946050637,1.5163231056699065,1.3886557257267884,1.269773695484847,1.3747953566177098,1.3947633855728285,1.45738660788873,1.450222717492128,1.4524739090344314,1.5312975849371213,1.4458545895067731,1.4321422770031607,1.4192652971094177,1.4107122952199769,1.504070242684987,1.3355463416872029,1.2595684121731276,1.2583328764663884,1.2706224437454647,1.2375586078992118,1.2341186210337354,1.2487212648558736,1.2600019069029924,1.4100203520460781,1.4796970525412845,1.6737912139261881,1.486251612305669,1.2844647355590608,1.1997177298347368,1.2381175667067565,1.140042474000761,1.1628566756744532,1.2652602239529847,1.3296274735710347,1.4757034572434176,1.5741818601957631,1.6022217741023317,1.5480785166406097,1.5024123767439403,1.4331106069723423,1.379221682573218,1.1710409363876875,1.0382542767608798,0.9834420715658864,0.9470111404217968,1.1772777665607232,1.3432949327995658,1.3934070071475082,1.5781223039262928,1.5778942909027796,1.5217255606814435,1.4052754839029302,1.4433481569320645,1.2978268980237269,1.5130200122536932,1.1379172535497506,0.9907341626194186,1.273891253862542,1.812700729613149,1.780106308447469,1.652913726856713,1.5183977920533667,1.41922401126817,1.3543213002342385,1.3360436138362042,1.2724093251696187,1.2473625539618431,1.1849487286866986,1.1725686841604968,1.1497317649077676,1.3244573388212875,1.3894323332537644,1.1926386407212988,1.213054780192361,1.2005551278104776,1.1882229681628935,1.2473894996492185,1.2299195039962227,1.2498163917787624,1.2700006731443958,1.2769530757461232,1.2188324147626073,1.069759522782752,1.1881539138118313,0.9510970409111902,0.993239409984555,0.982484680101991,0.8545835963152041,1.1643923901131832,1.1787475985657505,1.1982423546212915,1.189246440984938,1.2209714099448223,1.216850904084408,1.2694161051815842,1.2542531657395293,1.2408399081625006,1.2264036304575745,1.175279257314705,1.2385681896566496,1.2392354238447765,1.1617801604372906,1.1396910033145071,1.165751470354145,1.1492976935517973,1.3417199284943693,1.6385456219584584,1.406130923136975,1.530630063223071,1.9871679736348618,1.4151992081741693,1.645959961634521,1.5913640176285964,1.7261538376132737,1.7329514230662797,1.7226347696835669,1.7473951500005358,1.6119860080017576,1.676349544178919,1.5181220837176297,1.4378535118033418,1.5061550358282547,1.501358458926247,1.3453957597248314,1.3498273353584187,1.4098362634575479,1.3351603712569142,1.220529197482035,1.296295695591173,1.2991154402747358,1.1967427485719369,1.2248941326418146,1.3582460869092285,1.4828731238409132,1.3481155306879953,1.5578083392177298,1.4882706283500664,1.4678500123269531,1.61937817963513,1.852701131655024,1.8732212502654837,1.9154072065313354,1.766247722833601,1.7752359098921435,1.7332668325882865,1.8435554064889244,1.8172597507524608,1.8032152564578618,1.7857212437444279,1.959758742552245,1.8840039681622922,1.8373552285846853,2.1155655850573827,2.010520884672838,1.9602701154645967,2.081577249935797,1.7940619791779566,1.6765148845260125,1.7346728648116516,1.705402307300177,1.6410966797033544,1.6674875709437404,1.7030718877276942,1.5858396356459825,1.542844909833294,1.549333103206361,1.5153235945342816,1.446544341104767,1.4108728065326486,1.3962198561528967,1.2907797460558588,1.3615739044352126,1.3030164726499998,1.2641897781025404,1.309588108902839,1.3552978179586774,1.4047927482653813,1.4593274829015743,1.5071360542824515,1.6125255525593012,1.5210537441524363,1.5119681717329474,1.620116222719604,1.6521128616593541,1.5931826528542736,1.653318954453481,1.7673698920745082,1.7391713672861706,1.6811163426554474,1.8331380790529872,1.9875610274092872,2.1435219192563846,2.120078372865104,1.7412585226271944,2.249046017433935,1.9085339920431406,1.6687675153203747,1.5915858047294236,1.4939006968117599,1.35421857674225,1.64758053124677,1.5465690008216546,1.629429143643865,1.709450262586664,1.5877908647574237,1.37541981215339,1.4930563322197312,1.2003913007313816,1.144617518828068,1.2680133382413583,1.2595525167327524,1.3311582347824735,1.1445479301212291,1.096987552877005,1.0696903855920117,1.2318751196997995,0.90776685754613,1.0166865886909977,0.970102905020398,1.5740614359418765,1.9575632595196986,3.198191371985471],[0.7356499991245813,0.7391677654817982,0.9866903535482975,0.7008018044173121,0.8204233138981668,0.8396607547724384,0.852892655246403,0.9766350884661575,0.8873466933353826,0.8745163752424181,0.8656472075649981,0.9405827527873484,0.95443895976346,0.8551618661386086,0.9427877544331311,0.9635586355148056,0.9469216376826014,0.9319041349690026,0.9142083493198443,0.9445997265273802,1.000060056940387,1.1191604854347479,1.111526857808695,1.233884794899419,1.2164226018247595,1.0243509838429072,0.9313102377545346,0.9099721192654787,0.9431471135990899,0.9514036249825188,1.0080304426197517,0.9910237915811098,1.03408780097756,0.9962094259151892,1.0044137534752586,0.9591480452418017,0.9881580758222704,0.8632730491209077,0.8340941605329909,0.8094972008458854,0.8515523699386968,0.8861268737058429,0.7788942316685851,0.8952115447169846,1.556270769169295,2.250936607335278,2.9305522595463267,1.481950747019812,1.2652670400935544,2.252610814020147,1.6128812662535739,1.8054669004907553,1.5058437013173396,2.2593056787855397,3.38214604584641,1.277579934300368,0.9278667627918147,2.071705597424534,1.81804832299371,1.3898618082818401,1.005447091037144,0.8872825755632405,0.9163352742744962,1.0294973614894514,0.92797341352697,0.8832962239036505,1.0642376667314408,0.9250859236733504,1.0051932121229887,1.0320772045623745,1.219207970648083,1.4609884365131007,1.0972938300268362,1.0646650839205083,1.0242363582910987,1.1834671577118288,0.908975231057548,0.9261915252108669,0.9499083234538072,0.9149317122107598,0.9041515268726579,0.9875591069131598,0.9466317103240957,1.1031834803600338,1.052409498215366,0.8863344359791898,0.8964424092558526,1.0120601908798548,0.9387344584614314,0.9867529979764812,0.9258027133565297,0.9975173990647422,0.9612293460592843,0.9802845474607091,0.9880259090274686,0.9835432198207734,1.0600919871096903,0.9626042840127946,0.9281011584627751,0.9768930649584582,0.9410430755581686,0.9442864645218103,0.9131566788633468,1.0110662124749585,0.9814941307657873,1.1258731620633984,1.030523792240231,1.1228142736308937,0.9786083485953248,0.9348979269829768,0.9033658610214366,0.960779670506742,0.9717636669986784,0.911578673489401,0.9059243882739523,0.8612987456010129,0.8556809337473038,0.8258255014488904,0.8514497351069674,0.8931212013514909,0.8269074857186582,0.8518659366796226,0.8033930652010025,0.7655750553908245,0.7838998302951633,0.8603364554760695,0.871462659178317,0.8753070344938049,0.9069739418258425,0.8674253552586041,0.8617851237101136,0.8126201619950094,0.7173856157184859,0.7417176272073405,0.7267280596191182,0.8176558542922032,0.9898388697516879,0.9768734834337751,0.6816629077038304,0.8474835085227187,1.0020765677563739,1.08000123459384,0.9021747224170804,0.8887374399324952,0.8750243272760618,0.8736105982872104,0.885419099144342,0.883825366190797,0.9352462075644112,0.9690634033394727,0.9549261899988224,0.9574943141426688,1.133072420662624,1.2506428104382243,1.0146441544428246,0.9494982050757939,0.9346046890363564,0.9341226250987184,0.9128554397650797,0.9530276583585859,0.8999201472351611,0.8491229080906232,0.8430959174786499,0.8290550243240103,0.8421057415269498,0.975303671474902,0.8131100867827991,1.094330649653561,1.0327407077392818,0.9790955854602743,0.7000756063009587,0.694090532177317,0.7218080295886996,0.74836438735078,0.7936210915390003,0.8277360916300127,0.8699003796077295,0.8545220047501089,0.8055896981315207,0.788011605392553,0.9779234142670732,0.8631990459085852,0.7955523694884156,0.7492930058218906,0.7494726436272051,0.8296310549468661,0.8216738011450289,1.0086177844753785,1.5005834583351942,1.1517220722457806,1.4398086278533373,2.000067763955343,1.2626274106785549,1.2404592133863266,0.938855790656621,0.9948941770863997,0.9616250378109048,0.9650512677461651,1.0231582571665192,1.017432357811535,1.03474723616613,0.9732721010824059,0.978711235904814,0.9919964051442649,0.9825238147434895,0.966037627635264,1.0037135522488645,0.9756214047904711,0.9499053040526519,0.9978783070194357,1.0339205689455666,1.0144574580220427,1.0254230336082297,1.0859343086182625,1.1608507478564725,1.1996435741233087,1.0664859588296927,1.1474817968347308,1.0389035956605746,1.0402001955676952,1.0870641313841458,1.5439702547865577,1.4140439487950134,1.2796244793129061,1.1124882608621243,1.1227890010414519,1.0878775990495675,1.1108292360404604,1.1004717171277627,1.142533340210217,1.007214570612133,1.1343749492619162,1.1222180186170283,1.0620670027400623,1.4535934796851242,1.3041011480978772,1.2128502351005086,1.3646227791491528,1.051775321051642,1.0121581500992607,0.9999430617479106,1.026244259173009,1.0282389472962175,1.0442784239938032,1.126238913448119,1.0149861320684779,1.0004765052337787,1.0712341442914077,1.0712448591120123,0.9813464152891578,0.9946112393409303,1.0459037834433982,0.9667327601624157,0.9756052789257312,0.9781460034962468,1.0789049838499827,1.0177133281572681,1.002594682842212,1.0048145304075373,0.9636024472178891,0.9748499999504591,0.9721595957481172,0.9711142550857091,0.9929527483481501,0.984380204421296,1.0367694396324876,1.0285555467626197,1.0431632626088743,1.1076111555590031,1.1576749466182985,1.1282379968620593,1.1793125668322177,1.3005560301663075,1.573374986591683,1.5473706649496455,1.302168755605394,1.7943844803212954,1.6309328071597564,1.2718575502715768,1.26872937130735,1.14891151535305,1.150699679935541,1.4391383800567497,1.2472919400692655,1.2313623363070956,1.2817590489584079,1.094431909679182,1.0242080580365271,0.9922053852266404,0.8952651322214293,0.9239511586329179,0.9793186810392552,0.9616629188548628,1.1036827395015236,1.0021888818210876,1.0056150758286628,0.9391461097125854,1.0758692853345424,0.8822893157153902,1.0323229052106888,0.849519468721015,1.7579394445657095,2.0360699352359877,3.3149507683726833],[1.394968884946343,1.47611982959475,1.4961019029034268,1.3199227799013205,1.3555539716510707,1.0598684366485724,0.7973517431635925,0.7479265865605256,0.6068235172480504,0.4425452340453499,0.43545129159733587,0.5329977369732096,0.5360663576463844,0.5052705375630351,0.6330465254016535,0.6310067049635705,0.7222550724688073,0.875557966229765,1.1554403278786836,1.1836210985926212,1.371260596679847,1.7846968928688831,1.5204165185120366,1.751166123031488,1.4544918999625143,1.4093104848962204,1.2872830298525662,1.0447857442423032,0.8717648388206005,0.7262193071534183,0.7588916226464499,0.6517498384148703,0.6609904895080982,0.7934569198174067,0.8325148592038231,0.9325412711696618,0.8136445698193163,0.9689625906366635,1.0804580723942208,1.07210180337954,1.635944611548252,1.4494108637046434,1.5512937026950069,1.8506485833668995,2.5855742711267906,3.1013425460691155,3.7200596578416594,2.4330762541223154,2.064079348369831,2.9421282112118,2.3152536569282294,2.047312200607915,2.080794453439921,2.8614886289768005,3.747204107407566,1.994426291092715,1.7077461722820084,2.6731446289962713,2.401163475391508,1.9310018940138396,1.6100816101052506,1.507757953727268,1.2142657138695516,1.4728287508774982,1.5362730737475252,1.3273433464314361,1.2561088177411908,1.044867118140313,0.993461944153772,0.8296618583950727,1.0159109356891234,1.2887890788757004,0.9069715937219854,1.1475940125139983,1.0149655068120567,1.1932577720756607,1.0636323265459564,1.0119844316921496,1.0996288348443344,1.1914845119012192,1.0816458283178967,1.1687966459961419,0.9865183465426637,1.1707816910404238,1.1955434535690153,0.9497448985382839,1.0979090424263553,1.0218979647293491,1.030252962660554,0.9656652170554998,0.89942788326555,1.025345697973665,0.935103675446904,0.7390212175178934,0.6768218191386153,0.6374827115128519,0.7156008830383925,0.5666929502601505,0.5051509279377607,0.5633960478392162,0.48279231817643997,0.5843835704641706,0.54789361648966,0.562536447567908,0.6717060378542247,0.6363251888425101,0.7599798033882141,0.930710111163606,0.8900634361560568,0.9215874701521559,0.892500190532317,0.6202090850220596,0.6094236792084573,0.4580840619501005,0.5384288424392176,0.7196233654006907,0.9680851115858441,1.2360396308716104,1.348309893007951,0.999470189378912,0.9970805452695429,0.7240114883470709,0.7311972145045338,0.47329419637815096,0.4694072168610015,0.5664184318064489,1.0658817147639759,0.7553664759429142,0.7854753989307466,0.6758182054083686,0.7370566268646161,0.7054702712666573,0.6925817069083429,0.6276639085969242,0.6362671443599289,0.6265507991450343,0.8610196717501463,0.6399386652599441,0.8877316215780636,1.1766644094579082,1.4770470114981504,1.5247038311959715,1.3801864307316105,1.2060830711732928,1.1366259166640946,0.9232593262466212,0.8423258695411875,0.5782472487624549,0.4832391458662201,0.5285704145383038,0.6312890288801372,0.6916646336678939,0.848477311248888,1.0723500993206554,0.8410825799653865,0.584119771661699,0.5368877256236482,0.5343135972440803,0.5092739834935565,0.5510249764765622,0.5912112194530581,0.7537340457038666,0.9057341777514858,0.9333747903331072,0.9152411647051786,1.121227117680701,0.7993909704395069,0.941145503600028,1.0093189848447515,0.8576623440419011,0.694313729136193,0.8483854081356763,0.8231785773689102,0.798733879418203,0.7739815657314688,0.6360493537129391,0.6549407171461106,0.6743738899660005,0.797436466963582,0.7000437415374261,1.114745778852725,0.6091913986659742,0.6841608490719122,0.6935446157428079,0.7372658390611444,0.9310852998225873,1.1238053806688884,1.3268126619853833,1.9228134919705964,1.3875571647123288,1.4709935396150369,1.8193643450636767,1.199310017890741,1.194818937000413,0.9042498315677262,0.9626348746490445,0.8944734400295048,0.9657896174791305,1.0823219021863955,0.9999496168598073,1.1009524800289767,1.057704158423347,1.0909821245298335,1.2943562861123856,1.2844662247006893,1.343678134500342,1.5614078387497503,1.5454837265344303,1.4658621219417045,1.623363209356662,1.7122160374022064,1.682798010163468,1.640877254276629,1.742771893783014,1.889978911585497,1.9733597567467163,1.756788490506554,1.8179508136775917,1.6873814497469872,1.6433657064390872,1.5296494940898457,1.8094173444804578,1.5984670336665707,1.7943216763259977,1.3804236077829024,1.2180410068090621,1.1629121596930438,1.1248034794645734,1.2117406244094544,1.1514596738458214,1.1163090982792319,1.2396136529252477,1.2142178472593392,1.1050119871686714,1.27064011292396,1.1972968216407156,1.203108960235576,1.1115567660738417,1.1563543070853637,1.1168499763589794,1.0284201049866681,1.1431231037290774,1.1338691394389349,1.0921746509122259,1.0278352324084379,1.0777743343517325,1.1757376929739494,1.0142798574594805,1.0199747001643316,1.181472713695968,1.2296981371547429,1.2237578911898213,1.359218934728308,1.399745725290026,1.4059799076359079,1.531914928167933,1.5698113728395366,1.5201655493007324,1.505052893400831,1.4270790824933344,1.3077748725337925,1.3523421445436141,1.4602969255399716,1.4231121924571932,1.3166959233838935,1.39250649003353,1.4926800313008686,1.3795935679173934,1.3408753761286925,1.5982165624973528,1.5728887228086892,1.3372322052803158,1.4967568016843458,1.7773359771557726,1.729212985967041,1.7460968967309738,2.077471499876841,2.2365124402662087,1.8232046699818278,1.8987140594936533,1.8215283344130369,1.8294155224470399,2.041686630323414,1.854123969744488,1.7569933406542009,1.6722126449348567,1.4865812558271316,1.4117811130262525,1.120190572275762,1.1372398261456678,1.2804146346098857,1.0360785065828628,1.1431479331305199,1.1078205944471529,1.1368933052662615,1.3587588039260905,1.171245206929624,1.2024859175976668,1.2612817583448337,1.600125055534314,1.347630532731346,1.8436570581108613,2.0429816056717938,3.168503810581194],[0.43034160734423715,0.4438754336366077,0.5964947829692415,0.4225777594859916,0.424315140944569,0.5087619454589866,0.5294902519525844,0.603322556833953,0.6190195545328637,0.6037119000981427,0.6138296174141201,0.6786490658283852,0.6210713479309595,0.6261519018179748,0.6835127260953389,0.67179246467941,0.7128642956336464,0.6694414105903029,0.63167924425434,0.629426239354703,0.6640557390320572,0.8502336751844928,0.7872538502529446,0.8955539154787088,0.8939302555473944,0.680821475994892,0.5801641227867795,0.6041866400105141,0.6944674131814983,0.6238121284749261,0.7093102265572014,0.6593550349301083,0.7185028007668697,0.6769550468565408,0.664457654042185,0.6203706366420496,0.6338004422383651,0.5865726224137263,0.5080266431627908,0.5799654358453729,0.6592858743434944,0.523258903529174,0.4267027392068919,0.5617655604345736,1.3574781770137276,2.1516040598115005,2.6074897950902667,1.1035245145607548,1.1241411418264164,1.9578407535223912,1.294188302163712,1.7935873955273378,1.2745832439671578,1.623739850481996,2.9431749862894203,0.9766912501005847,0.96310563966922,1.5853042530531483,1.47668190414234,1.1816373407604777,0.752241985130929,0.6198100851706354,0.6341690545030763,0.7009959314795524,0.649802606359777,0.5952735977763557,0.7878786920320483,0.6762355968168439,0.7687479870173349,0.8093269256485941,1.0386198796614459,1.2148148371347265,0.8967576633751821,0.8485644904249875,0.8056965210628195,0.9845874569898784,0.6738349293072975,0.6516397985458635,0.6573593656710783,0.5806699331744024,0.613519139999701,0.8581486231381213,0.7161706379568672,0.6579277788489731,0.7042146500885537,0.5686807517635243,0.5832733688327782,0.6612410707578134,0.6261621098180551,0.6919157350883006,0.6418656757360185,0.7379580281179537,0.6985930841076302,0.6853377287212747,0.6922104952341415,0.7174921941712559,0.7764590146999053,0.6513418448296399,0.6231213953200501,0.6246958870403776,0.6100878499195564,0.6304476678602543,0.5607679483349326,0.6130418135329396,0.6362332258707226,0.6243508818798189,0.5341640122286921,0.7270667192563477,0.565556601407976,0.5568986939957716,0.36503898129506546,0.5554678137800921,0.5948215066800945,0.6454350769850269,0.6298719672549388,0.6431761300253942,0.6547599944073087,0.5706435997611505,0.6279311385888773,0.6489293021828072,0.6412445954905442,0.6874230422081321,0.6480382792178374,0.6451151520280578,0.6003529688031314,0.5186940916723133,0.40032371538577743,0.4816462970961019,0.4474462947704838,0.5623158138271829,0.5709205825871378,0.5630498480609955,0.633044301394839,0.6087404398664018,0.6223899560557938,0.7874258435877268,0.7669129474023794,0.5317962669391232,0.6641356077059416,0.5181938858484664,0.7030594299874011,0.6756023169218386,0.536576365822192,0.5498380964877814,0.5330850393913258,0.5335919354222532,0.5574572517348665,0.573858955437413,0.5661936090404504,0.6053846597238666,0.531179852633225,0.5643906039576401,0.6438227287512308,0.9809543562444888,0.7875323610291588,0.588845882161149,0.5861173771451306,0.5618824301832258,0.5693312443051779,0.5574225377992782,0.5706179881757278,0.5506701772713208,0.5185310771732207,0.5494756841883403,0.6485018202369339,0.8156222795040003,0.7755131682587779,1.0005028304584296,1.165328455691077,1.0312301554865408,0.8395150408338369,0.6362012770068042,0.6157334353519683,0.5714411799317003,0.5155781960731184,0.5223301723854518,0.5817346788386684,0.6395955084119359,0.5467388494896451,0.5317107211349699,0.9116739626063417,0.5652465122432382,0.5942301655816404,0.6283718026135887,0.6498078000845062,0.7410608071779053,0.7948910609806208,0.9700719689949967,1.5908705606207894,1.0893824666334,1.2555242778252897,1.8366156136383907,1.1341154850972697,1.1504321555274077,0.8224476263624074,0.7711458041732396,0.7114513636281738,0.6617737722178397,0.5927276348088285,0.5340022640220207,0.4958457093436303,0.3811491074183233,0.3866288952341011,0.4776862509231496,0.43198471227047436,0.44685404654186467,0.6267990420805295,0.572990362542968,0.5047510406996668,0.6673708781284161,0.736203894536057,0.6929246045440515,0.7188942745206538,0.8536776327803711,0.9606962548429909,1.0412017208789075,0.8652031363870614,0.9250159746664482,0.7315016180557429,0.7075456020642625,0.7132468025538911,1.508347063900483,1.0187287393147053,1.1155161374509837,0.6382625189441515,0.6111500887594515,0.5902224253555811,0.6755502571822201,0.6492685933119952,0.6178313316467705,0.5936529561167142,0.8214883557224821,0.7939713122441014,0.6539715960917266,0.9920042893947983,0.8613097333319539,0.8509420752019953,1.0571719205558634,0.6437938220579579,0.6374058730025806,0.5584951103791085,0.5299997243807273,0.6975569307001733,0.6188293476719918,0.7571959146061527,0.6002296300290227,0.5408064688680398,0.5909762120890525,0.5505312838725542,0.4043834986721211,0.46677581231935905,0.5636906752170482,0.49092881246683945,0.49763608880911014,0.5660668131080232,0.7681894086876301,0.6520382838339233,0.5875529615762853,0.5726311385358211,0.4749740081003105,0.4309345471255798,0.5291402919248738,0.5127128540972772,0.507596130833454,0.5295851222153756,0.5792352501298285,0.6149099694460726,0.6222980385179642,0.6899535945256514,0.8548919091975535,0.8345636785847445,0.8352055498086278,0.9796036597421671,1.326170592053911,1.239600866803869,1.0470425723302785,1.48536813388437,1.4769806111302675,1.0292719197842013,1.0989111399472242,0.9503898488297767,0.9610941662491309,1.3052741603545157,1.0533434308850014,0.9854346561233223,1.0355468658091689,0.6576981961478474,0.5332234404794159,0.44939398803906244,0.28676784615673767,0.36293073709437484,0.3579910431253791,0.32888363446564006,0.7456210766770999,0.4693040550135586,0.5253702052835875,0.4016623872419583,0.7944102344746107,0.47440806080538717,0.8108090471978368,0.5661209290659883,1.5796281915606978,1.821062185903661,3.038240032020455],[0.4656192617901182,0.5225805991439503,0.7136959360200411,0.5003237205680094,0.562273451689955,0.4506994143741487,0.392315324080861,0.42339139269196613,0.41808219228284427,0.3565494268548949,0.3617078291473443,0.46825961185001663,0.37625589969999423,0.3572612471225503,0.4076066337243373,0.3848147472087786,0.41096421236711456,0.3685839113368705,0.4103670953568633,0.4158246171896955,0.48355896172159163,0.7382771215887459,0.6731708574162472,0.835564462142605,0.7411904784510609,0.5598247261644891,0.39941470107834665,0.37513631173020845,0.41124646896744443,0.36370253134958425,0.3995137362409082,0.4113292900925357,0.4466989458760132,0.43851562439241787,0.4065255187004772,0.39209961336278304,0.406999694775441,0.40791362277400667,0.36755737883760614,0.4432892260756643,0.6627012072855522,0.4093607389319247,0.44188795756085125,0.8000200582612997,1.7724212641042174,2.5147158393378812,2.974148053625961,1.415595860559538,1.2870964504211788,2.1546482793771404,1.4144164226392983,1.6939300669505608,1.318537055750009,1.85555443245067,3.08298147621525,1.0658461750782247,0.930179160618942,1.7951161543952192,1.6722458086904939,1.2433223649241614,0.8711508202008594,0.6558753163762177,0.47927083640935436,0.5551197117119397,0.5205657995525602,0.4851704850003934,0.6243648957681174,0.3979178002289956,0.5393460038961254,0.5580903055873779,0.8201224609973842,1.0401385659040505,0.6603312146745514,0.7230031423573922,0.5195615924009206,0.862447955140524,0.4264703238587253,0.4092173528908779,0.4570133381173472,0.4428055396494669,0.49268297527583294,0.6755174084174128,0.7558272922267865,0.5728705222412376,0.6311834307978466,0.43318781625340097,0.42334217496279386,0.5120121776215321,0.3974557323796256,0.4843058832620529,0.39152355309167364,0.547636384716428,0.5127499545675629,0.41588895738330367,0.4334829379728291,0.495381091581683,0.5610213587052828,0.47276869679109035,0.45232491715275863,0.550714099941425,0.44758804588953266,0.569641042208465,0.4382321211637254,0.5185050345887836,0.6113388973196526,0.5856387638219392,0.6554632432190483,0.862789973820079,0.7756948942476359,0.6424324568598906,0.5655795217627431,0.49278667841285534,0.45015836461262493,0.4513450395506073,0.365422214725106,0.39285369499764144,0.4757800754761107,0.4106468887308086,0.453298573990647,0.3861350171638471,0.4249532307719565,0.434081382475996,0.3891582354825896,0.33079368348848265,0.3380594124851122,0.44928325574800154,0.6832587963867512,0.5502235266445197,0.5373164767234371,0.5837863582655736,0.6213490998961209,0.6028639440792127,0.6390800220374018,0.6267090322383907,0.6135974154891736,0.6907939687669931,0.8972894413767367,0.4780820900842655,0.7140785045320434,0.4676793179257894,0.514123672544462,0.573114695559044,0.3865924866303105,0.38160682509431165,0.3761653946638201,0.38828870877809685,0.38554028519184796,0.41228375270846807,0.41767893103385423,0.42579395741597725,0.4927908983348805,0.4800956551623216,0.6985713396386849,1.0299291078789272,0.8127251167619277,0.47852159463097504,0.4459201496824262,0.4624102983027065,0.4403962177927132,0.49599154330805334,0.48051678778339574,0.42943095316888186,0.4063598329840852,0.4220352860190357,0.5403420450429309,0.7515315846186307,0.6573916790379761,0.9736653961793419,1.1661086278203265,0.9543689147481067,0.7019528464174412,0.5605977551609869,0.5574760846951852,0.5426603365469092,0.4808332474061539,0.48132993431034,0.4788877459384768,0.5931824588566591,0.50036164488962,0.49116781560856976,0.9388461023609053,0.5165967025740967,0.5591563954938827,0.5604692483097786,0.5557798428215779,0.6168069460452408,0.6849490464987614,0.874021071991612,1.5488364899779345,1.0492580299463925,1.2120619123597731,1.6802992053752346,1.0932131633344704,1.0997641948070767,0.811436732326867,0.8201232007279149,0.7698291688388214,0.6950865717154187,0.6260876886845268,0.6174079605371279,0.5604677932238259,0.4859910273209037,0.5169341075639938,0.5175667680188758,0.5112093528634981,0.5474533453987537,0.5935394987331908,0.5892839426739561,0.6207985003051292,0.7622496131199769,0.7982197595649527,0.8026986961889642,0.8790139607461405,0.9664050281629752,1.0571581895854631,1.1121926702553266,0.9303949842641155,0.9203212429763665,0.7347134666672538,0.764117413819572,0.7529788602335944,1.4469101599416963,0.98270596943506,1.2675610031139886,0.6715632488673439,0.6597005864000892,0.6837172611092506,0.7008712753470464,0.7053731311777297,0.6357225181996848,0.6349726513860126,0.7938670613671498,0.8042798065089507,0.6800238230363354,0.9948249873125379,0.9249158928804628,0.8644813828490814,1.1224145369463205,0.669996518874297,0.6599245995288215,0.6097139089199306,0.5966447580582213,0.7351508287545834,0.7064625175607261,0.8090622454605129,0.6816648380382758,0.5906191284803495,0.6466796045826034,0.6535945800760963,0.5285933130809088,0.6070008967380175,0.6999051673475803,0.6358148471711538,0.6402725125350112,0.7608302961834625,0.9218465946486464,0.8025528878778586,0.7526169463749217,0.684988734001304,0.5798104383367855,0.518362772011382,0.5598651817051212,0.5844795753204197,0.558067170032003,0.5678184206170565,0.6066465376829703,0.6305014640846592,0.6267100912068754,0.7093653148763319,0.8640666044682691,0.7929401305232642,0.8256638910860012,0.9152464144541745,1.309899479488192,1.1319635825591716,0.952243827011599,1.2836143329835583,1.41791342395837,0.981389397488965,1.0155488960757408,0.8959225189121638,0.9311063665153413,1.1663538471868284,0.8465007922100454,0.8406694113338289,0.9858987769442402,0.6569253083085927,0.55582223584709,0.5440402800954831,0.5094845927456719,0.49114265464729095,0.5467988387656291,0.5040334086129081,1.0265911962382244,0.6732467918390752,0.5682277748137294,0.5507306271788748,0.9532777432096665,0.5339770998054788,0.8544019380128052,0.607163929783193,1.4668486285736533,1.6907192667990438,2.6787216142343753],[0.4687438530925182,0.4568121968219955,0.687421553063921,0.5132306639922677,0.5059842868309893,0.5934666940548697,0.3940073783197648,0.33826465187238686,0.3901135897205322,0.3394051366751768,0.3388849633739442,0.3978111885367758,0.3577152078158379,0.3459985387842318,0.4344861366478057,0.3790509387161346,0.4214786969483512,0.38262090496289,0.4182022261570677,0.4036942385319515,0.47626611623360254,0.7234846728064698,0.6542666875966647,0.7778131162812122,0.7073558321992517,0.5390711158219559,0.4079140592820078,0.3654182313495064,0.40806432411618165,0.3316174801756326,0.43275347792786983,0.35509371886313135,0.3857688933811488,0.41315722796084065,0.37683720092571954,0.38666989494621823,0.38101540812371876,0.4279695981376546,0.3915441845828831,0.44885910128150247,0.5948934130566986,0.43083490520568307,0.44620049080184254,0.773465577365055,1.7685294202756032,2.5595436506552347,2.864845668314782,1.322689143348845,1.262141083001518,2.07170062424262,1.3397496067860595,1.747257529451895,1.3426687503786987,1.8007660767008535,2.802811603137459,0.8988382755080504,0.9127445560181793,1.7081527009325748,1.5282753145551802,1.2247315457282237,0.9258723757101948,0.67993816751549,0.5151737318203667,0.5582960056707656,0.4990187454167535,0.49311508498380363,0.6736525026407857,0.4125220088665197,0.5547303093674456,0.5571628729953014,0.8081752199677052,1.0069480406733835,0.6451154645346605,0.7266787996845028,0.5175036098185197,0.8819062144938801,0.4304959798814151,0.43003525762613476,0.45880546358532037,0.42631602386561757,0.43815857119531787,0.5952639527476685,0.7768452656380422,0.522043527813374,0.5941161353112312,0.38697485527236847,0.39932610256068257,0.439659488743979,0.3886841739493453,0.4625391369973712,0.41172470043556453,0.5686998032184668,0.5430751761847264,0.428594261527251,0.44771462710131293,0.5106229425433363,0.5704623932997491,0.4445454608353176,0.3930217187286216,0.4514617841284869,0.33059382838875945,0.4116013983191521,0.351701252249404,0.37879008038863704,0.4717744532756929,0.44292851890471796,0.5307916943502772,0.778967615889487,0.6822777165435261,0.5247149037913486,0.43865353195081497,0.2970711289619865,0.2983921245854517,0.28847273706609783,0.31691201408988817,0.34976480000264354,0.3799894934652489,0.4023059392171605,0.4243390584035858,0.4118079239715115,0.4120861814915932,0.41246284874020644,0.35946833606105566,0.26351294697168326,0.25202438976546965,0.3004382163870879,0.3502759486888775,0.41895153563793947,0.4336318583849162,0.44770898510624646,0.44880132113836707,0.42666107669242215,0.48970097744528474,0.49399460047152727,0.49182132642964155,0.5854047291562352,0.7913521988028402,0.47784899955484234,1.198671421649047,0.5514036990417531,0.5959843929324199,0.5898191814141024,0.45044285397725636,0.4351129226899125,0.4048661030732036,0.39051649401336114,0.37419076704868465,0.341677720268135,0.2688220751473618,0.3237488791985901,0.36893436173424604,0.4156089569115184,0.5957965005157245,0.9601993156775673,0.7987834371121516,0.396670907207007,0.3602454734916564,0.3156748959305143,0.31909624255400315,0.31963946237139207,0.3839345663952287,0.3613301188481676,0.40099173863109744,0.38282658650574075,0.47550065461208235,0.6683974618974657,0.6103724791181085,0.8627152928881817,1.044031448014613,1.0012828741139697,0.6817766958209736,0.5396217205305,0.4657005762290614,0.4545421786695501,0.38405974337581095,0.38679752168134063,0.3756610087303287,0.4863619967805381,0.43275351187002803,0.380017363283811,0.9335012581867472,0.3724456104835833,0.46708519750455635,0.4453909511871561,0.4647188640730647,0.5751265956745861,0.6903009008825242,0.8063482966338462,1.4522581005171897,0.9734035720655881,1.2409813713502704,1.9700855855936739,1.1471944482742282,1.0927756172274925,0.733621848879907,0.6685263869610313,0.6451206949582425,0.6124850006223879,0.5916707503285765,0.5441769110739817,0.5106545186676567,0.45672820038797823,0.47603539986172533,0.5158929042362461,0.4970061018098678,0.541946372409001,0.6532037150684149,0.6099141388003876,0.5949572232059176,0.711815930247277,0.7494193828224273,0.7294960782991164,0.7881368037513394,0.8986378759404613,0.9589171410413003,1.0358119692522763,0.9083395586403634,0.9080434690474314,0.7319264708845679,0.7226509638227799,0.740441969207,1.6190462838256616,1.0190583109560503,1.1792061306147812,0.6414971329732172,0.6578383765765341,0.6814555997827545,0.7244944818861225,0.6628663232863468,0.6328507926844631,0.5673621537039257,0.7205007172503115,0.7122746351301327,0.6055722282487119,1.0339263122081546,0.8541478164267043,0.8130683717508758,1.0358944082209067,0.6198987467606547,0.6330558308253365,0.5903735443846064,0.5980458103756009,0.7421952346317381,0.7237674049750672,0.8569619492957896,0.6714451750353339,0.6083453321228133,0.716277943031944,0.6453319043256497,0.5080813964722521,0.6019657710059224,0.7116244518172706,0.6084845913690891,0.599023809552275,0.7271735254852896,0.8838825472485772,0.7398513033510665,0.6946406900728767,0.6400221457278498,0.5539338121739112,0.5022820083472689,0.562587589792275,0.5763208774621505,0.5623565637038116,0.5460764595642709,0.5872895234731532,0.6251439064115412,0.6197965856165155,0.6869832137214315,0.8415393494257749,0.7894415645065703,0.7986657600656372,0.8837709428351623,1.2206147944885337,1.1088847408704983,0.9650370220188326,1.3176785834367264,1.4643255774368549,0.9718591019458241,1.0043188722152285,0.9111663507852301,0.8896623816027419,1.1372896075302719,0.8945531576584391,0.8872980303161146,1.0113030475222737,0.6886215837615036,0.5732094712048362,0.49611140686008387,0.4706903209652536,0.5119327837705518,0.4108410635126658,0.41582056049432864,1.0413729877023445,0.4757302333936481,0.5740653614937624,0.5612765501479693,0.8145044009738543,0.5698998170050908,0.808825567005678,0.7457422718364615,1.6852066901323868,1.9653145490541388,3.271623306578717],[0.39634172709076515,0.356072771647836,0.5475722814564816,0.38717418910795465,0.3679611845726208,0.4418372255064938,0.2993081578861662,0.2540783229369511,0.32878723430973505,0.2699623160419047,0.2897079384661333,0.3824950080258724,0.27608071637293374,0.2815246830913003,0.35284030218245493,0.2945795953962796,0.3378115570232885,0.2920235988262115,0.33416447618972206,0.3398014150852604,0.3764375302119052,0.6256718347537631,0.5317080387641874,0.6766501137121672,0.5621432496638835,0.44063196624986906,0.31275061902301077,0.2768969339709831,0.30816197764986053,0.27863893471679196,0.3395000537579916,0.2884423516900007,0.33621043665963607,0.33254181649461184,0.3003256412148508,0.3189367435357026,0.3015232987149004,0.3393569171248041,0.3173210401806759,0.35181313950630744,0.6222237670963583,0.37900307453489185,0.40506576198912775,0.7603261959765999,1.828722767317468,2.6081206359686337,2.8101665131984563,1.2460624450853233,1.2259440820176843,1.9873731267824282,1.208037844552554,1.6882965231618807,1.2257953567810251,1.5535589201463562,2.600239477248358,0.8874838568823941,1.0276317476323342,1.5085962518628935,1.4522200913319105,1.11105173318851,0.8986732357707516,0.638252626851758,0.4626230856420572,0.5411703348569881,0.4427221191854321,0.4397391220088731,0.6146773418365661,0.3477087258239721,0.508530411398905,0.5134227676575576,0.7689336048639005,0.954741050993212,0.6422191689997478,0.6753572235940826,0.4594986575004053,0.9342435751045922,0.3538300224842535,0.33756134025777107,0.35908106152033475,0.37374097438524023,0.36930530350565305,0.5021519001633524,0.7948471114372058,0.43456986924020213,0.5386413966948826,0.33792988061609386,0.31633974200278875,0.41088361665803336,0.31187841850533055,0.38335623456795553,0.3391787303832377,0.5343114116942721,0.4788425036917435,0.35230631860867173,0.35926959566820277,0.4410662066851798,0.5028022004662951,0.3834434123236659,0.3580670094028634,0.4700006684142053,0.3266719236073608,0.4314937750256853,0.2972075981706888,0.38260074675053435,0.42411289376196165,0.44064254416596776,0.4947233388834713,0.6630275935403892,0.5781587673192385,0.5439361167841127,0.3614092634957285,0.2575534535995688,0.26049481350646964,0.2236330647580403,0.22150539034465935,0.2224354255471818,0.34074409582719994,0.29428173264182095,0.3275047625272023,0.3139198143529181,0.31096205014083594,0.28692890318944986,0.2016355363229047,0.158958318032789,0.19517799189803112,0.2591965567090707,0.25489844735346506,0.3326104210490581,0.3114618876085379,0.4133773436769197,0.37268928696777176,0.3584845765398652,0.41853385058059905,0.47782003928847305,0.44707881770418906,0.542934640360911,0.8755544826360802,0.4165236076482336,1.1004710831129083,0.526540572298983,0.4340905470471697,0.4834264584360844,0.4005953132465697,0.3625960092095087,0.3200623710209133,0.3422961649187848,0.3048440895418167,0.29773106345434,0.24511277238620927,0.29499166409147454,0.36641067880596395,0.4016173887951423,0.5629095102626709,1.0688257511416275,0.887505089136843,0.4055309876865562,0.322064560799513,0.3162935364306586,0.2641852660904633,0.3030769333471413,0.3773104499159622,0.30510429131203615,0.34879442840378483,0.29529871378303385,0.39276950559660573,0.6208310178362323,0.558535960758051,0.786149193975287,1.0130872143585543,0.960014102778021,0.6678152918071069,0.5242508942940961,0.42511966048403377,0.40466832140731424,0.33923359928737773,0.32251777238943846,0.3452482219601209,0.475172650114347,0.3826015675543617,0.3256188772521994,0.8328918841608893,0.3360822369601407,0.39134051706846484,0.3832417123449811,0.4161594360283337,0.5235764938119167,0.6514814659567038,0.7713479180568396,1.4594680872669292,0.9047438428450165,1.0979382982437071,1.8416059817836552,1.0518442900910843,1.0047283888714293,0.6507572697662682,0.5751626341363919,0.5827516179723402,0.4922713329515808,0.44575259905405396,0.44665340204764875,0.36728907095722496,0.3404083332359826,0.335992615975478,0.3688465822686773,0.36542905348512394,0.4252186316528194,0.5100091988220531,0.4797893100922336,0.5163000585338694,0.6080164877143173,0.6372956659720068,0.6270962701534424,0.6967835184811688,0.8088732002570538,0.8489657398774983,0.9137591634876197,0.8612417649542526,0.8103248751754724,0.6137745203092474,0.6345079419534633,0.6213530906831383,1.6407521981859898,0.9015643019486573,1.2328287738319164,0.5598928339821752,0.5880019446965207,0.6317249144858276,0.6356991216074744,0.5698759869082747,0.4824965886452678,0.46454974929390525,0.5823147913493315,0.5954612403252281,0.4651604011202847,0.9336863792927232,0.6861408540788592,0.6725061340649109,0.9219719642474024,0.46337989026173787,0.5354461750224655,0.5073604379079644,0.5379563052773261,0.7521480157957473,0.7426711820635992,0.834712852161657,0.6667216373555905,0.5881412523780494,0.7236785433650387,0.6566965178876627,0.47759616605046723,0.6135015424530771,0.7257424881042586,0.5859920045876789,0.5878916898020763,0.7522746624390224,0.8755828444645275,0.6967609153892266,0.6583406531735324,0.5718354573951949,0.49355356624889685,0.4359962126229106,0.46982976349959066,0.4676220096963821,0.4388879376643834,0.4282809534874833,0.4509652198314409,0.48242326723920603,0.4808462322689937,0.5365876028276612,0.7100613029979348,0.6710484753387167,0.6468497163768645,0.7381832705323574,1.1230047114605752,0.9814761476505083,0.8739830610179713,1.1720763414325102,1.3910085406681036,0.9065725658310889,0.9030499464253935,0.7903455928113072,0.7371532167430067,0.9943265423088062,0.7800026120801523,0.8079243344523753,0.9605241508816452,0.6036105891266837,0.4700570752696747,0.3643723320856411,0.37868055649670107,0.38877209646961947,0.3213020937787149,0.3522297660077711,1.2204890319928117,0.4192548524087511,0.47549170352230086,0.4881532122964016,0.8153460121139944,0.4514332288057338,0.7270958334949025,0.7497272336716172,1.5960498098108322,2.001585967257244,3.292132960131806],[0.42420582660619877,0.3820815524286741,0.5500474140133322,0.4124537401735321,0.3689954200678927,0.41599302447456066,0.30099800667460264,0.2473926751208671,0.25978111460877595,0.22013044476225313,0.25542948085080497,0.3299912363869704,0.2541203611862599,0.25564465922950214,0.36911748240776915,0.29464291399720494,0.2881255815777502,0.3084316191231967,0.401130006210409,0.39822260274807786,0.45343747234504517,0.6720485042726612,0.5940488526184756,0.8007386169142136,0.5690956908074171,0.5051149834168179,0.4031234257835288,0.3400211505934779,0.32117675375652605,0.32599138670981703,0.3350117793859017,0.2928065409147845,0.3288970978037513,0.34916742436277864,0.30215862997372117,0.3408152995004329,0.3311056592866497,0.4000011642444607,0.38062775954916983,0.3981272181351916,0.6342517563240557,0.45963634527389274,0.4892797292195305,0.9866818339847103,2.138266358922761,2.8856417464090383,3.083258727254504,1.4971903184738053,1.3762872992664659,2.1727979619377407,1.385008037545848,1.7240512981066118,1.363262339383063,1.74115268611702,2.4248648673990383,0.949348947333106,1.0411315141498352,1.558506034920606,1.3895788475556505,1.168107906476748,0.9765529497432655,0.6521842149963847,0.5164558321913446,0.649378508104427,0.5002525645334885,0.5051286491795287,0.6546482960794258,0.36029916169216664,0.5256484136530671,0.5330467920388177,0.7538638922212529,0.9835178997277705,0.6515700627034113,0.7594130194237384,0.4560198893667915,1.0501623693460973,0.38358087047327805,0.3519012511179135,0.3781077414802196,0.4340344742744533,0.3724372275632987,0.47370770420996916,0.8202305449417632,0.50701938950271,0.6082307675070666,0.38538197324168794,0.3530007841360603,0.43874965444283437,0.3604144194976162,0.4007115706791008,0.364151576842837,0.5800312660889245,0.5249358972949796,0.3855418041698979,0.3693575161676249,0.4664680158234298,0.4966027542233208,0.3650960967132974,0.3295269915118623,0.49639102248529116,0.3219808715152053,0.4181667144980834,0.3409357503951404,0.3923030801920992,0.41177992283365467,0.43491664146608555,0.48688092811836253,0.6612591709347851,0.5764392542014926,0.5669354916097988,0.36291866221930774,0.28223988530880495,0.29831328275293484,0.2523791721092502,0.25682986968460425,0.26799482172662564,0.3319511087494265,0.3538912274020893,0.39959274267703865,0.34833296625416,0.3578992135907888,0.2844753115862451,0.3236909285953043,0.23812991389749655,0.23785323692214455,0.2744553686823055,0.2755674658942257,0.35301697159135986,0.3593163489702769,0.44763767331644777,0.4061141887968777,0.37993127053026154,0.471801785688919,0.5132420542735229,0.5002984588181639,0.5591505031503088,0.8211968532939198,0.47759772782451937,1.1226152370581295,0.6232736068461131,0.4274634976787698,0.579622854378813,0.5060791638045934,0.40467854891410127,0.36633877239697954,0.4010090369349265,0.34238548590628365,0.353651167350141,0.3034716241553937,0.3271644215706573,0.3729189938798849,0.4172411354763032,0.546851737387849,1.1727364463527714,0.9819379416933636,0.42804639744803474,0.3215270614867236,0.3364665603593625,0.2695723140300697,0.3472038717058102,0.44391182533779433,0.3657138997064516,0.4160384256102657,0.3549737217912575,0.4458217250799613,0.6324326302056001,0.5762668802790516,0.7621292857642845,0.9605105632167232,0.9345464322815188,0.6357836133050291,0.5584000086999122,0.4980139459001172,0.45726494972071613,0.407495037599804,0.36390038206879965,0.38947030397917476,0.4678644485274146,0.4635412353404771,0.3700676215606428,0.8645701947023303,0.3751922229826453,0.4457232889450498,0.44650025186761033,0.46573125120579245,0.6025603145000084,0.7159824400178142,0.844855186545922,1.4301699630223417,0.963243802097958,1.1835878690939112,1.9682101519646835,1.1064823857870412,1.0651690553636062,0.7245125399222091,0.6424262312910107,0.6210400164743228,0.5404252033253261,0.4797056841817407,0.4726850845353546,0.37904416572374994,0.3511828621235364,0.3423128013810188,0.3734135156672363,0.36853293773989376,0.4240282797854531,0.5149596797173891,0.4859570729058899,0.5377663329943361,0.6241121300204071,0.6565815723641427,0.6607220248972023,0.7368207500001703,0.8368403187843232,0.8869680903932141,0.955045323035321,0.8865344358900796,0.8462901153765152,0.6286635026792218,0.656796650097807,0.6378660674912358,1.6180954338644216,0.8960739840218002,1.2661783921296876,0.5711813780118093,0.5922509436682614,0.63788654772547,0.6471905523229983,0.5743104336697646,0.4873593013030539,0.47979505045506776,0.6161969196296718,0.6129386529689115,0.4933648892753407,0.973876743281011,0.7499736258773058,0.7049950402042294,0.9506300892966447,0.4927935329245163,0.5606019402783932,0.5315593879813411,0.5453137448608445,0.7666600751477853,0.757322237527592,0.8609325650561107,0.6795782637758159,0.5944270269737879,0.7563335414460789,0.675603610842433,0.5003373796427961,0.6516837149384215,0.764865432005756,0.6239798775554111,0.6316389853399911,0.8096315904256296,0.9167435374400733,0.735070447525707,0.701008918297797,0.597505866773874,0.5197696162784198,0.45362115784499907,0.4741446234207777,0.4777611027624551,0.4450106196013532,0.4340378604422798,0.4565304976632618,0.4936185202445413,0.4866300962808614,0.5468576681532938,0.7403717947378031,0.6865415180795211,0.6626901707130051,0.7635045799120425,1.1637625345856144,1.0175611252616306,0.8963909489904767,1.2160394811655324,1.4092929889310974,0.9522628987174735,0.9308016991909837,0.8051508835556943,0.7417255691337783,0.9924410380019515,0.7866242144118352,0.8392709974005441,0.9821033270000142,0.6146911510399545,0.4726136934615242,0.3805639079388818,0.3842327257319871,0.37989837162025186,0.3467078536034811,0.3895640829606087,1.3225658832588005,0.44151176079145993,0.48753277224730607,0.5306762453784901,0.8177371905782383,0.4514628047128779,0.7017776307363536,0.8293561130765432,1.5629815604803992,2.0643549777703316,3.378386963156019],[0.45377801754519403,0.3803675767529521,0.5386257286025172,0.3871991978229158,0.3456977491742527,0.41982572939665824,0.3660717408101164,0.2794592336741564,0.19624269371600805,0.17407896842313078,0.21577558690320897,0.30238200517512887,0.2367819643932049,0.22469930481163328,0.32864400863146553,0.2625718165247414,0.2926343611137056,0.30002848433113566,0.37074535271052167,0.39456223951322583,0.4024862678232925,0.5838099716567097,0.5430650304056945,0.690763827035614,0.5277891400435883,0.4672971241401313,0.39138678475325356,0.33537641771015136,0.3243998800589897,0.32250158979071575,0.30737451630458257,0.26804674162809566,0.31055668989978974,0.31831703283296925,0.26768719938800994,0.3088863471561918,0.3088162554246874,0.3818025527203858,0.3705061585069603,0.3767901404353993,0.6400951861808996,0.4489685512491221,0.4229435902393919,0.757449070524719,1.8269713205991445,2.5818136938580247,2.5967744667666466,1.0971141515127023,1.1647869343774153,1.8068335269700615,1.050713598582388,1.6204173835922273,1.1627967077404398,1.3538510802338628,2.226893405161819,0.9196961154261323,1.1770532488446328,1.328149813451102,1.3008549186474683,1.0097489854315378,0.8927690675969843,0.6172294687287921,0.47947160857348825,0.6344039892684291,0.46289016445724473,0.4627862887638312,0.6363211949289975,0.39347451737357586,0.5274374476929719,0.5176824539107907,0.7491150756359275,0.9503129018927715,0.652538347776573,0.6876038083186444,0.44828512664153375,0.9772434954807513,0.3705502720332683,0.33466445868750627,0.3488519622533782,0.39281720361554645,0.364487237870362,0.44706387663630276,0.8778394899720366,0.4770372389122389,0.5970545084777932,0.39259900849152046,0.3474334221778187,0.42976109947435626,0.32027493233797566,0.3712497067479369,0.3363086749746508,0.5359401955671853,0.47624304184958904,0.3404738287287129,0.33131178562402425,0.4293490020421888,0.4892615954890607,0.34914354517164214,0.3118847141279308,0.47843492087321865,0.31935508230222787,0.4439866104583586,0.34620310878087995,0.42891754291590695,0.4323539122210146,0.4384087768039465,0.520079519411677,0.6154818998832975,0.5563112749229085,0.5996824146782498,0.3797478974700144,0.32089457601580174,0.3349246199256958,0.294518539123647,0.27435296250630925,0.2901497724713015,0.34494180163174953,0.3079609061219427,0.34662807880131696,0.355419262697413,0.3075953586626401,0.27413015673570845,0.31447671532880467,0.2235777717617568,0.2561763547964154,0.2894015620553676,0.39462227142971207,0.3687090258590922,0.40789783372566435,0.44081688140783737,0.405547849839315,0.39972625720059507,0.4433378249033585,0.5262522352411888,0.4798007759149777,0.5177039835189154,0.8686534012970193,0.4659185675937151,1.123856905740523,0.47030854041681824,0.3865561160107445,0.4988993497865599,0.4947331930005557,0.3667867736627225,0.33749371866378,0.39081590027114277,0.31610715161720776,0.3569338480842627,0.3386056283811459,0.36995896972439357,0.4201731156152525,0.46446536569916635,0.5573530229942463,1.1401220098433538,0.9971399929207622,0.4433509151334113,0.3161919276093241,0.3597631327864803,0.27471508687319024,0.3813841263986292,0.43669955489505724,0.35816154411945145,0.3861229989273434,0.3392896633666079,0.4114889030900761,0.5295768621548711,0.5032284271997973,0.6021833889484531,0.8184834056734805,0.8567654883951357,0.5819647955039354,0.5059516798377952,0.45681417186096474,0.42597137373056465,0.3943739636820776,0.3657002144016349,0.3803151639711694,0.46847014819226657,0.44696313120797865,0.3721594891857247,0.7837543916834641,0.3748815184392674,0.4142253582285258,0.39471789409377145,0.40862817390040035,0.5635573068744425,0.6720705766307877,0.7960334386500719,1.346598775245927,0.8476730745294996,1.0072134327214213,1.88614637194347,1.0089958311384621,0.9495762680978406,0.6497665520849033,0.5624043097158193,0.6226611247124364,0.506286578982118,0.4620641831099425,0.486546343573895,0.3899636310690296,0.41240182018372684,0.38252701326173166,0.3826655217350903,0.395547142776054,0.4599656030546487,0.5320112175409303,0.48942024460000105,0.5475734200687453,0.5937172563358059,0.6041168769821483,0.5993103673611784,0.6816817301338346,0.7836647657842992,0.7763400622624443,0.8491312756844468,0.8373432976455988,0.7631618488362025,0.5665649027235041,0.6022440925006539,0.5857849209556807,1.7772561165181187,0.8853883031671178,1.2480814978280506,0.5899163188114488,0.6474148786705368,0.6884562426395185,0.7254878068824687,0.5872630639173085,0.5063089994298299,0.4776593555121906,0.5606481004417356,0.5449971958452009,0.4530385844730316,1.000261034229816,0.6676811819079825,0.6581440399926513,0.9094881960813203,0.4566806903071511,0.5761897094920775,0.5800894960915506,0.5775037901299147,0.817529008490939,0.8398212426194724,0.9291091842716142,0.722398039068898,0.6640225767403158,0.8683546168853431,0.7397194554129137,0.5594977649683326,0.6979706702855157,0.7937390864370952,0.6417576889291332,0.6543257821772102,0.8241588466257734,0.8862456721300104,0.7378356770406018,0.7060095142520704,0.5883936958141792,0.5453653735049876,0.4970491010059798,0.5199902708189881,0.4922547819987512,0.463638997104778,0.46055795778385694,0.44592043173475504,0.4633400088040055,0.4615270789402165,0.4971306042484129,0.6406113178833862,0.6242318223861016,0.6052199595946887,0.6778097616720784,1.0390892076379632,0.9239793517641746,0.8462293088390167,1.154676223518839,1.3857865922552874,0.8752109042459268,0.8647351174520063,0.7556398141794202,0.6876572047772543,0.959790765728813,0.767603825350343,0.8026721366516796,0.9140244530182156,0.5922718099624757,0.5039105731257351,0.3820255024263179,0.43323519644066116,0.43582582217325205,0.40562626305923527,0.4821724771402321,1.4012753749599307,0.4867073694289107,0.5271159394688706,0.6197982859333395,0.7654131708853387,0.5152776557791191,0.7097672951306275,0.9349385541221062,1.6186837235688003,2.143765658914538,3.6602758325631077],[0.45461761884368523,0.3477858549411576,0.4810833840155341,0.35425292869496916,0.2810164757553435,0.31910899657060754,0.25848856702298667,0.23049084677448428,0.18432186578361376,0.11587151483341922,0.18199214211028367,0.2894752269571732,0.19862869233251587,0.17649871722650748,0.27811402583090356,0.24406468520911376,0.31425348530904507,0.33361313237095863,0.3802054736684717,0.4124009060789595,0.40207905554314755,0.5436692321180946,0.5251894504036337,0.6544837299875196,0.4898400343948766,0.45119766042301446,0.3809139471807304,0.3312453944946832,0.3365535164022676,0.3403210415375273,0.2993820151988927,0.2938381648517814,0.33423133543556005,0.33341814058625124,0.2727804693179427,0.3085515005700721,0.28876019242460416,0.3575871057279611,0.3467332240027163,0.33049855388078375,0.6667747258197616,0.4438109023418234,0.3881099910266091,0.5883631362192231,1.5841467225903914,2.3413468373108675,2.2829870964287684,0.8311948698105214,1.0215281882627532,1.5620955552057498,0.8771657760880175,1.65087873891576,1.0897406326517884,0.9799438886124464,2.093692254013257,0.9256751087746988,1.367777163684621,1.078590758766276,1.2541825779203275,0.8735876026049098,0.8284240363247911,0.60726200032091,0.45335659208688417,0.6401881042110095,0.4223078132944861,0.4320189094402519,0.6452615836444787,0.4229287710358652,0.5602672840445224,0.50065569295821,0.7921952743200406,1.03340177986345,0.6924065053272006,0.684701476136143,0.4347382917036606,0.9886649777645798,0.3560518055454633,0.3494377879245268,0.3364660003135898,0.3759225661755946,0.4007772796515711,0.4428672882302925,0.9209723729792102,0.42433125076914957,0.5421607129313535,0.385028774749379,0.3597499769225038,0.4369336763911982,0.30368981472656964,0.38083410494930486,0.33221490019356964,0.5118744754668867,0.4251315845542247,0.3136282016407947,0.305749280590842,0.3812748638354084,0.42266468529207574,0.32302647078558844,0.2949065156524349,0.5096581019655536,0.31086097408384317,0.45640824090773063,0.29899569060549247,0.42502716001307983,0.43063069685166144,0.43120716995125513,0.5494712387609516,0.5164275818671761,0.5061297797822044,0.6004098718809517,0.3446837374562556,0.2582191953237414,0.2579093566964558,0.2751261811499685,0.2817933455293813,0.28954284812852915,0.36116188246748526,0.2947084190288476,0.3360003507436718,0.38768125083230376,0.30806944661010394,0.2788040051368959,0.31399152301753075,0.26745434860562733,0.2575757078231094,0.27566515267560626,0.4426311353642496,0.3156550740201505,0.32641632014766636,0.40523411255819697,0.3682601796035356,0.3760046073397378,0.36359638928806565,0.5212115956168863,0.3978407724635366,0.43727622684390943,0.9352505508121226,0.40417017987511,1.1225392876590004,0.38367821216481524,0.39987566889852916,0.45021722479926524,0.471500581699341,0.33501111815503765,0.3083292867060627,0.3539613223196335,0.2686544367659463,0.3117981792637431,0.2919327252164851,0.3396959989765898,0.39292108963129974,0.4798615491867261,0.6286500263084268,1.2688973341645846,1.0491865913007594,0.4643767950845614,0.3131461713788774,0.3670439360830885,0.2759749381954388,0.38625256015629456,0.3708813478044887,0.3109260619325421,0.3143309510615674,0.2870365535607781,0.3640688925324007,0.47919238948711607,0.46273860988897664,0.5797916398784784,0.8477874069358604,0.8739948415583503,0.5829078271856835,0.44658634125295027,0.36953708821919823,0.3461806900058833,0.3148861639730451,0.340185009529063,0.36276075764951976,0.5147153427209771,0.38696752504604903,0.3761107483102151,0.6688872178798715,0.33440909045702943,0.34805745179615544,0.32612772125490114,0.34072102107386354,0.4939811793552129,0.6232421038335818,0.736212856941155,1.3450506950622176,0.7793459282666495,0.8796263879628843,1.7292054207922494,0.8946465181153608,0.8718860193657888,0.5822758153185009,0.45997026477857256,0.5938921286947816,0.41783534426870156,0.3684648064014013,0.4207315346651515,0.3335492765396401,0.3887498697615654,0.3284259247605122,0.34540929233886103,0.40119068717756884,0.4575821278636165,0.5173259453564435,0.4825426087846587,0.5704282553198536,0.5740480327962773,0.5859669746438602,0.5922643666545562,0.670271876066179,0.7908845826643773,0.72869756276885,0.7863648657604526,0.852168238743183,0.7407027833959787,0.5644353530692432,0.6168375863224554,0.5943602846632087,1.9149695324745197,0.8664277677615837,1.355328208456999,0.6275372596999522,0.6960457459796296,0.7323680574652512,0.747083340520518,0.5922582954540141,0.4503550211591899,0.48558858873492206,0.507757902848173,0.5033741172982682,0.38420286464537634,0.9245329883650639,0.5473541400876438,0.5919403369110872,0.8264003909987375,0.3802302586294858,0.516314755973601,0.5680062268808213,0.6106877801977327,0.859235658030056,0.9161320842872412,0.9637388144742952,0.7714923536072023,0.7161295020903697,0.9339234174415151,0.7949250395064035,0.6254737971316875,0.7868115731880296,0.8683500978817981,0.6894763253677052,0.7190523060110137,0.898348503345241,0.9137395005360069,0.7636241531160877,0.7561984559761596,0.6219089909506081,0.6104248315652486,0.5658850846698849,0.5756004001254066,0.5294831626808323,0.47848778474619363,0.48768217615926895,0.4445189000176256,0.45981880753227183,0.4248919949266694,0.45604701481106263,0.5792926329264082,0.5703733140229857,0.5223754397383791,0.5791178517813916,0.9496496213434944,0.8138411051617171,0.7630516792193732,0.9923561782794292,1.2895665680044492,0.8456937076408081,0.8024543259479594,0.7057173002521046,0.613256699090485,0.884939227788716,0.726268628613691,0.7544706338370157,0.8701883894674503,0.5622136876994395,0.4754187432776915,0.3287152355667833,0.399762724770948,0.3839834478133659,0.3868223439215363,0.5216717875240292,1.5660429560855929,0.44857379199930075,0.5264475664047485,0.657220480183617,0.7393604959721544,0.5198619496808419,0.6697099480721032,1.0063086899148117,1.583895003679538,2.184198136632121,3.684520849023903],[0.4968855728504864,0.3654458987657847,0.4662261799765268,0.3521402897864592,0.29244644425953736,0.3099398402031617,0.26566308528067645,0.2336455277598747,0.20631026747499553,0.19206705769087024,0.14379699350374656,0.287958250687206,0.18496521557488863,0.2158774433823492,0.32481368569437613,0.282914994397921,0.3577815249573499,0.41647223085712004,0.4580580845402461,0.49404167699259355,0.46391478346854637,0.5349864268766649,0.6014881841379361,0.716767120553118,0.4943992830860346,0.49882104612025835,0.4590726429949563,0.4122143327613003,0.3986321477281989,0.35836252396637597,0.35062217240480764,0.3285450173931254,0.3731201731878684,0.36679675565821945,0.31211106824881985,0.3591062290597746,0.32066051780137766,0.413302544344032,0.41081969674034996,0.37543485510959124,0.6962600683103186,0.5201968929357853,0.438433060258309,0.6318718059623448,1.6188935996561433,2.3462463137688037,2.2038515700165635,0.8140876708450446,1.0281418374460105,1.5161489814134872,0.8593506944365126,1.6225435748394084,1.0934235047493603,0.9140509750234533,1.9022303778862546,0.9482123145106038,1.4449270727455916,0.9979077975793672,1.2128115421075583,0.8519248841243655,0.8665671694858585,0.6287161370589879,0.48169545396623104,0.7215118103217414,0.4669406805582727,0.4589634764109709,0.7028621459089089,0.49049993098734757,0.6228096304943459,0.5308507669901159,0.8565203552748392,1.1366805741407362,0.7500441378615541,0.7574376247737362,0.45324945575179226,1.044348926045325,0.3981887180560916,0.3903113971014386,0.3623790563669375,0.4050054262353374,0.42290199842917514,0.4309019213319594,0.9614493486514251,0.46467710454824823,0.5512341923406315,0.4033170808593201,0.4041571014751348,0.4521494930503052,0.3533621718339611,0.39996200434587953,0.3853520161889399,0.5651306058103046,0.4783997937764765,0.36393497350422715,0.35010296648277445,0.41710459073520456,0.43632328758816974,0.35830425627633183,0.32538846992032305,0.5875797557061186,0.32098195058606954,0.44321667139255927,0.3240273375893812,0.4169154919014757,0.43039899640630563,0.43029473239441957,0.5606127811625561,0.51511547167281,0.4995377251376444,0.6016704563669482,0.34712053135978654,0.2743919550913795,0.2747141894818271,0.31491862913738344,0.3446177546664835,0.34959455100151793,0.3834616943961393,0.3441421530472333,0.41565589015104804,0.45362370932211943,0.375863725808974,0.3500453310193048,0.36890205418758115,0.29783605512317635,0.2644341667615039,0.2914854142171535,0.5068356477606205,0.35325637237267166,0.37680937621295074,0.3937053981128881,0.35436588780572426,0.3815173069455176,0.35968437399052633,0.5265216600087698,0.41041364172916217,0.4333761463169331,0.9524739278697499,0.4232044497883683,1.0891501759412834,0.42794297026630324,0.4040343077226118,0.5456033981923915,0.5668373865962129,0.4180897239115458,0.3834079995318352,0.4040670028298559,0.32564099703226246,0.3328421696746579,0.32728143800469506,0.3335383194044971,0.382663814333431,0.5019851774283193,0.6392255808011826,1.3605849797347214,1.1424357813859087,0.49827292653745686,0.31502017914108416,0.3747573614610041,0.30620521211529095,0.38706613947304536,0.39637943385721713,0.3389625388751534,0.3750227306753332,0.3413312613007742,0.3998752519169904,0.49588686112323177,0.445082034196289,0.5118347523746775,0.7435200063820746,0.8032291663767224,0.5346465077328049,0.4557384636903966,0.38171557298259934,0.35807921361586853,0.3422799551432816,0.36869881017985706,0.3775258673131511,0.5346239719683935,0.4225312446151918,0.4019198903749204,0.6693410853590356,0.34650938002138754,0.35770418814881577,0.3426789622605295,0.3666075428176173,0.5510568396770734,0.65351864970359,0.7817137041365759,1.329913646293487,0.7549608165098317,0.8355870884887965,1.719120347935869,0.8643346470177938,0.8371270368843664,0.5646274264648906,0.45727688323400184,0.602553357793647,0.4186826403381559,0.365446897074691,0.42188727163661066,0.3505428105547384,0.4090971043907431,0.3422578945352458,0.3462493182139363,0.4137404136643051,0.46314287888611916,0.5163820868340236,0.4828990540213743,0.575482591615734,0.5692297057413568,0.5881122766338919,0.5930762690364345,0.6662186207764521,0.8068390020486184,0.7262617761128295,0.7722242541041608,0.8664977122329933,0.7342095684243274,0.5655680161080067,0.6214005987421374,0.6030030991754841,1.9790177517962004,0.8645145796047036,1.3598978251501106,0.6359832449568676,0.7178077383922594,0.7414115368674472,0.7776649778070783,0.6068886444910754,0.46455230609180437,0.508609831743106,0.5361853032172023,0.5108862998886847,0.40051612363110783,0.9529393260737606,0.5304749008926043,0.5890927124864611,0.8243773824637489,0.3788911429005132,0.5300642380525752,0.5963083254969879,0.6314250941669158,0.8833164693990924,0.9540513328050587,0.996338560121684,0.7848077072034372,0.7466969818454643,0.9916526446256437,0.8133496889569429,0.6455771168829231,0.8129083760828115,0.8818687024366851,0.6936014772147534,0.7338657106772819,0.9201064176521682,0.9136001795051076,0.7730441663425384,0.7821153580911117,0.6361787777522351,0.6341398801071556,0.5918227514317127,0.6074570270177188,0.5518656564639958,0.49502721401956973,0.5086466551432662,0.4580794384803881,0.46955201857871354,0.4236759685436038,0.4571715106001217,0.5602808665038428,0.5543152335240922,0.5050991399409779,0.5656890377434389,0.9278106163629661,0.7998678467307673,0.7534733784923122,0.9913066351590752,1.2870784337818861,0.8446070994684118,0.7969838524129553,0.6953317307323753,0.603428225445783,0.8830284005907232,0.7202442910968122,0.746550500980427,0.8694071032728762,0.5524360987072429,0.48055207063860755,0.3338947663168969,0.41136943094081896,0.39700203228924147,0.400066970306887,0.5403621141078898,1.5863841606883355,0.43630946059164066,0.5299309506557439,0.684286294713638,0.6654380331697393,0.5366652119388504,0.6745947397829205,1.0869671359187234,1.5552913736598102,2.182996104641819,3.763369398829871],[0.5330057192915381,0.4329079029464703,0.5489160213006536,0.47714843102318055,0.45618774824468683,0.42497598043455337,0.37764988630939544,0.34917615096553195,0.3283469624228301,0.3372940839109971,0.2961391981377283,0.38272852490896864,0.3179932115241187,0.3325292882685655,0.416756648157178,0.383522488025151,0.4291748893883712,0.4816432405430516,0.5611423625593489,0.5631596842596048,0.5626702456584106,0.6231280229131722,0.7161196245817415,0.8559922905519797,0.6204984434670207,0.6151262365297633,0.5553201227206909,0.499202867173724,0.4538626812980101,0.4141311035249072,0.45892886745353983,0.4214662821949452,0.49904533891113323,0.45698889856097713,0.4144641070298784,0.4349981216343867,0.4111738853349444,0.4800854446824779,0.5039893302671862,0.49097283702409433,0.6945240927512669,0.6106168876938064,0.5443684459661888,0.8502404441484416,1.9374026079314008,2.609632815597525,2.547643665322063,1.092406838841819,1.1614786029673434,1.715662953856579,0.9938389229930044,1.5994529985161963,1.181625203630807,1.1656692694208628,1.8585495965944159,0.9999979601475231,1.3437213931473644,1.1511419154637739,1.1891007810604552,0.9882773616321265,0.9790893274972722,0.6867417203266264,0.5921288207326636,0.8551397477439238,0.6068732636719039,0.5628378722541867,0.801701966443016,0.5449295499493041,0.7179964603079836,0.5934080210201735,0.902077417836373,1.174288592175217,0.7637610553931622,0.8790877564515066,0.5534446087775022,1.180994547900741,0.5149098715270929,0.49305512214804414,0.4734154610417153,0.5088862272911008,0.46215057659399517,0.47724842987354676,0.9694881425524577,0.5547250684497526,0.6566917047483942,0.45844221148701225,0.46282828391642283,0.5153461077776834,0.44960062547881335,0.4877130847201169,0.4913441201738006,0.6579485975028636,0.6114632105348955,0.4985982980819718,0.47442675590947125,0.5729451843257788,0.5532559723155888,0.47880591262797445,0.4487344798849213,0.6799059196428142,0.43477103900262226,0.5140507678634284,0.4128567828897538,0.47777813266690433,0.46580957605136925,0.4512113056057443,0.5445900240753305,0.5534960951672703,0.5175550997591437,0.6280617717089076,0.40150905063558656,0.38322785893284894,0.392389560909031,0.4333387940914863,0.4501643309231279,0.48729951883250644,0.4897589087923081,0.5213075433636031,0.5790901228933516,0.5464633837037344,0.5251762457360513,0.5050677642766012,0.5487620139035874,0.4741598098175321,0.4286810382321216,0.4590642023788643,0.550061176315516,0.45187538896354856,0.46035840424138774,0.4886517513995264,0.49670576844012204,0.46333779132032293,0.5101457815185036,0.5897315443739104,0.5451833171133289,0.5610174547093452,0.8954496674224428,0.5926692082728433,1.2092000201694462,0.6139248791193109,0.5890575438974424,0.7214259984920908,0.6849542328587199,0.5578508834640517,0.5095111406192137,0.48995773603279485,0.44488524274633245,0.42650477493903427,0.42594440935910777,0.41102110201417336,0.45370933910378153,0.5713395027969452,0.6958147759533756,1.4425905062444209,1.212144348107186,0.579466396122965,0.4078407210895621,0.4473598342136583,0.3833518492599649,0.4551489011283245,0.5077513988893978,0.4355639144462498,0.5167297207521245,0.46996473308756304,0.5298314322095299,0.6672991507071769,0.6033082939056229,0.6611551244269539,0.82705864905183,0.8839811072525358,0.6588432382512779,0.6052700262191986,0.5311782017199832,0.4826887552083175,0.4513963167635315,0.4451707204904041,0.44338629802117857,0.5661053067415551,0.510974341440114,0.4513356446644667,0.7604375770234568,0.4296470819632698,0.4592472744714327,0.4674193656598042,0.49369824862509937,0.6500922287585557,0.7449593255176709,0.8899589721942858,1.350867793003174,0.8726739549758621,1.0514614527079884,1.936048522808067,1.0184261744921561,0.9557044019699157,0.7129404664871284,0.6230600914309375,0.690545176539722,0.5654153284122989,0.5129740249899509,0.5314590886816649,0.4564288108815713,0.4709476595402886,0.44136917311443574,0.46266537915529826,0.4908805926580406,0.5312009775374246,0.6187397896571336,0.5874966128916844,0.6385481549312041,0.6561740736702444,0.677003865066707,0.6790254295218559,0.7423474996643677,0.8616759826770036,0.8306898070041919,0.9067527775450419,0.9345110741894906,0.8763675426337039,0.683536133206259,0.7189156900373483,0.7011154175869706,1.9436745675486713,0.9596090828250091,1.3507877800866657,0.6653060148009698,0.7332493160837439,0.7747795420454178,0.8053397906915997,0.6546408295470008,0.5564293363606789,0.5600883152932855,0.6079501907860866,0.590061009005093,0.5165282342458295,1.0183884022974898,0.6910883173332772,0.7002213649228919,0.9347278213168133,0.5032239479868773,0.6171459128222817,0.646116774850611,0.6673786184073652,0.8895954589545814,0.9628065132180647,1.0105047871552633,0.7967775435194622,0.7622689387873322,0.9795028218486157,0.829402997953893,0.6642481401525923,0.8215946381963637,0.8964381529043207,0.7270316740665428,0.7621168174784001,0.9522654400471423,0.9737632676734115,0.8373646577103392,0.8346142083980872,0.6983453068690465,0.6671658869938402,0.614700164536557,0.6253586107969331,0.5903225166406816,0.5596772580985145,0.5594030724686171,0.5289774664163128,0.5514370237538561,0.5298500077578012,0.5586525958925485,0.6942865272233258,0.6624359167371614,0.630681420036953,0.6889715442220574,1.0474281763641353,0.9341613935387686,0.8668022399282058,1.1109662562659903,1.3457326430240206,1.0168046454652684,0.9396352346436965,0.8285587691494067,0.7320740994905035,0.9887314007506777,0.8287225623560436,0.870199805657272,0.958391442710585,0.6477338555457226,0.5648213129775312,0.45452289543923424,0.4877117898299205,0.4913714709897404,0.4767661199908146,0.5733617509994051,1.610577454357941,0.5124470980283841,0.5739558364994024,0.6992697100161259,0.7580332579941843,0.5636924751571883,0.7038804185895922,1.0825645213386557,1.593694591236804,2.212592026711489,3.6835349201669363],[0.5229296862201276,0.390522598898715,0.483888249748317,0.3947987304064049,0.3333039476368122,0.356550494289444,0.2669871752942942,0.2875684361607761,0.2574389005509133,0.21564164461885585,0.1905089154810851,0.316821148064176,0.22955210521441607,0.2291620287470574,0.35472066231747457,0.3071533931789908,0.3659688421138783,0.4185097037059996,0.483202148878077,0.49653837260633454,0.4839259444396892,0.5629154901835189,0.6417148875212454,0.7767798012764607,0.5439207060131224,0.5324654425552648,0.4590494010807004,0.39882220269542373,0.38925333321959704,0.3694849055191182,0.38180474066214765,0.3714357933677959,0.4213793881772062,0.4036045098160422,0.3366105566884564,0.3738086225528825,0.3279167907591732,0.3970613054867764,0.39881315045338545,0.3752380794759,0.6730518984468173,0.5185976179179664,0.45087419353276253,0.688088502207639,1.7626066842835864,2.488498288518737,2.4416559207968787,0.9527058706553205,1.0802441464586745,1.6361092100729975,0.9192905289744919,1.6350180874551443,1.1073532838225002,0.986281064441027,1.967390577950069,0.937224722910602,1.3960356207239146,1.0278548324887766,1.213708209913182,0.896438343091753,0.9029387199399542,0.6430836582914641,0.518938184280676,0.7593808694396282,0.5034544316944947,0.47934471104384146,0.7387425337382484,0.5093975024428313,0.660759160125226,0.5500779552736322,0.8777015010054621,1.1655698776615822,0.7500528820647385,0.827797998263294,0.482738643985445,1.0996559388483766,0.434970831440777,0.4287299644443017,0.3991135246620599,0.42668756393713614,0.42892292581376085,0.4391436974877856,0.9526131919974901,0.4435174433933631,0.5394882869400922,0.38215026774573285,0.39647674086754653,0.4551676116415837,0.37442507268326786,0.42517342556233584,0.41673644412011,0.5931553716785106,0.5162579286029114,0.4153535187553722,0.39357853759095685,0.4488371042870664,0.45919353453252165,0.40710424548012114,0.384324494522185,0.6673455010356841,0.3717357882709518,0.5052231095214754,0.35347904826194493,0.4700910795420508,0.4601641845518866,0.4653531501934446,0.6010341435103879,0.5107883581403191,0.5205905364212501,0.5989091242689351,0.3721227476375543,0.2982018019130902,0.26842830853124455,0.3133067964871517,0.33351657628244613,0.33598488190215653,0.37883791818021784,0.36113776855030283,0.43739971811337075,0.4496148593199924,0.3885175471919785,0.3422682014782672,0.3739417000806387,0.2974928146673139,0.2980996943823156,0.3012851467372732,0.4157901634525495,0.3485923018093664,0.3345665569952376,0.42628972781818564,0.39937108873843497,0.40635654320058257,0.377912867685088,0.5312900282316642,0.41579278111208745,0.4566797599811505,0.9586812578972999,0.45110311163521255,1.157011713772471,0.4629556130393827,0.4247765684475317,0.5644948752192316,0.5629922340755187,0.41668693491023356,0.3797702326255034,0.39751434969664423,0.323132631947726,0.32557525004520066,0.3221848684785088,0.36883794379709434,0.4108144312528394,0.5177036157389215,0.7409472758624557,1.5265835881083578,1.177965970792128,0.5600889582767463,0.3593021329557047,0.4230290511989229,0.3383316540500046,0.42172091956795876,0.38975778015371754,0.3320911331219628,0.3671583128372788,0.32818250113631514,0.39569033830473005,0.5367975991708835,0.489297229344051,0.6350128397509951,0.9033750656231033,0.9107650071718103,0.6170261055412231,0.4857238776274365,0.3893311268783912,0.3656979602827088,0.336687669842727,0.36403945405233495,0.37602508674442786,0.5535684084870688,0.4065851003065924,0.4045341065439585,0.6881582501046456,0.3578139787824102,0.36259576860230625,0.3483803825057343,0.3723032555021069,0.5363922341253473,0.6556092421171914,0.7702300374382455,1.3463274334858655,0.7935551766718735,0.9111028663166202,1.7539071941750375,0.9126549056296072,0.8826748723868051,0.5836848095606669,0.48585153474057824,0.6188518147059044,0.43621919288491806,0.41698738147092734,0.450423988377405,0.3878199547438432,0.43880367340384707,0.37589231946649815,0.40835825476066745,0.4809441131474008,0.5262329357317038,0.5729865974740238,0.5484014102749285,0.6532002153862718,0.6386182190765787,0.6553025036495685,0.6786071121839631,0.7477056056467845,0.8554709605237887,0.8056425535272518,0.8493947671711762,0.9526798740265005,0.8410566372242871,0.6440923647217656,0.7092769146792631,0.6928685383835262,1.9441026206766918,0.9366998394246443,1.4537830833658645,0.689689799339822,0.7423312055511678,0.7746439458237191,0.7604084757976746,0.6530790500204936,0.4994449888643316,0.537076049978233,0.5531461402044172,0.5682307509189217,0.4495846149767261,0.8998002658429444,0.5787570162786596,0.624080379025778,0.8284984487761067,0.43737186987178545,0.5280404838651118,0.5936826337222696,0.667346976854981,0.9040063612321052,1.0087624866337968,1.024118301830069,0.8390501142303459,0.7992784632586101,1.0111325582824362,0.8784296184132604,0.70916855066023,0.8923202736653922,0.9741778863628773,0.7728800278404769,0.8213546657892461,1.0338845742531273,1.0284170801471317,0.8536690004932536,0.8750199239196671,0.7218437735244198,0.7142132670621795,0.6606379005530006,0.6565962639341809,0.629458914894151,0.5603210934252596,0.557918646163671,0.5187555184527928,0.5353394382837838,0.48994733902592114,0.5102329991471123,0.6481997619060134,0.6190299567047136,0.5661998285462995,0.6100358683363215,1.0105843095478289,0.844426813548612,0.7997057111463142,0.9763883978186948,1.2871024009668357,0.9571355912891837,0.8801011068595603,0.7779256891183296,0.6632155554275888,0.9264780773493217,0.806642693072792,0.8543462694771902,0.9489593524982343,0.6412618060869871,0.5114757681218451,0.38369184393719374,0.4359824811986617,0.425403910238893,0.4224787152210185,0.5565712395275948,1.652962742753244,0.46390230998246973,0.562127853127302,0.6821659741004387,0.771444339308638,0.564243951783692,0.689140573316652,1.0451227939853645,1.5273684998004813,2.2367981408529087,3.488914173741049],[0.5059825532646647,0.37290595908282376,0.4731811812577187,0.3675036442997478,0.29505012194379765,0.2985037441257102,0.21184064413043724,0.24268024611158184,0.19401433529250475,0.18912358241936822,0.19467922769663193,0.3225799226910065,0.21905073126888322,0.20737883857809145,0.36260004419980807,0.3139398328184249,0.3626811844310296,0.3884649714109001,0.42275458225759055,0.4650947534653511,0.4410641369353511,0.5206666217270126,0.5523619199234816,0.6349352656597437,0.4761399235002085,0.4545679561553331,0.4197732374011265,0.36631173157914004,0.38401696730031204,0.36510757735533417,0.36432190177747953,0.3915431052880844,0.41767161681383036,0.4057606215271578,0.34963597487968323,0.36279440663708457,0.3520684722146766,0.3967009885355231,0.36495541994529695,0.3401048069600787,0.6885127414100801,0.4847937616927627,0.41087211519072026,0.5139398601697233,1.392379177414957,2.1402419028618187,1.973783516680848,0.6679248794862073,0.9361300665439939,1.3657385459407687,0.888252505296222,1.7897436788303194,1.1939910550931312,0.7914744893481261,1.9002567300090807,1.0127183518914726,1.6009589032020328,0.8451665114911013,1.2061583577695458,0.7740988935396579,0.7832527188488223,0.6137494816946973,0.5011379780703853,0.7133091625374807,0.4402374037098087,0.4423527215456451,0.6908503294670103,0.4957011998364229,0.611203428479235,0.539420323893496,0.8613965044992699,1.2086560064053509,0.8012140854976288,0.7412311741335509,0.48506180613765104,1.043205276298704,0.4170679950483637,0.423171186512888,0.39284060532143505,0.4283556490606821,0.45376679533227193,0.4545911207104041,0.9559779048646038,0.46230005017900105,0.5131557926374282,0.4073388901040717,0.40640557777791514,0.4863540281892009,0.3515750845971649,0.4316767989285555,0.39012549095067195,0.5611033330184882,0.4649772240763207,0.3878655765610594,0.37574951860198935,0.41130612210093226,0.46897351181777114,0.3987177577877849,0.39163395205509927,0.644456661397946,0.38276988036877196,0.5190129205627546,0.38142760571835765,0.49419013471027096,0.48078200440557356,0.4737919982503722,0.6252134336676065,0.48202385094971906,0.48386610770486227,0.605879315221199,0.34585165474864715,0.28721304976106266,0.24624448781813385,0.32762030190438696,0.316346714667127,0.3247162747248037,0.37637742400224267,0.3094725330093208,0.37749478642149314,0.42451246803717657,0.33390326646328783,0.30922339747124084,0.3409226433635131,0.280541354650473,0.27866983174013665,0.2938218115596237,0.49593865066552445,0.33722454369311977,0.30920640192572113,0.4354981332650404,0.38020976162937725,0.41762953270279435,0.363764771926186,0.5736242653675578,0.41014234921261816,0.41577161790472533,1.0001663194297294,0.4188642147349731,1.1090661177067251,0.3781664580340897,0.4035916194603355,0.4591889076838373,0.48495015523523366,0.34677887025376597,0.3220011335191512,0.3533836837318805,0.27592418368138394,0.315059655567177,0.3222847672829646,0.3479858957386265,0.3953209805702452,0.5192303982545853,0.7345736309885718,1.481922040350117,1.1661407499838397,0.5626400740537624,0.37524081553020033,0.44298037269206997,0.37486968512114993,0.4382398745366077,0.3616079142501078,0.3166034697573886,0.3168783480930602,0.29639344982551724,0.39271742404170634,0.46524908597526987,0.4755152090129424,0.5627337891205283,0.8541305120031732,0.8911275064645847,0.6075272198481773,0.4488942906494061,0.3582434187148867,0.335172438856413,0.3225585735339372,0.39199472200275776,0.3945433884275707,0.6038742895264586,0.41244538364315336,0.4722933441249958,0.6098357048451221,0.36954598980574915,0.37555574642312717,0.35326146727119523,0.3732655340627751,0.49637790542053417,0.6035804199766434,0.7047698902548949,1.3024407455883944,0.7337641389970619,0.7797938596647396,1.6329365583056699,0.8133731225065571,0.798524326042573,0.5462105686600235,0.4429965776238791,0.615145851369883,0.3884336553604286,0.36436069461978804,0.42328401721533326,0.3763472938507882,0.4389223888731656,0.35767688040903584,0.3785768482453684,0.45838307672275896,0.49613936733878466,0.5476163008111663,0.5216810301584686,0.6223990498842599,0.5916714512194261,0.6076021829070327,0.6231317169592591,0.6887325350857368,0.8548799553464234,0.7382515989062198,0.7769730605715647,0.8886496111126437,0.767392539916443,0.6006944614504853,0.6614768551659326,0.6653395147813282,2.0535497658216646,0.9029337287038773,1.4574229305194997,0.7039256878131238,0.7718839847144229,0.7905017947486924,0.8170083629668577,0.6480304031071682,0.48784758394571287,0.5576777592536548,0.5530711717071167,0.5464457938366695,0.4331282824928887,0.9598980725927485,0.491875578168362,0.5712718817408802,0.7437953389590699,0.3898293107604486,0.5269202425143582,0.6176158463889951,0.6761079700783339,0.927777267695522,1.023693563463256,1.0259931552010833,0.8377409602997951,0.8125000350597127,1.0341593311018815,0.879438224260325,0.7043103683720066,0.8875712959630915,0.9518754776385692,0.7438763888504524,0.7947050534264503,0.9909688449904673,0.953094775273756,0.8137793892503989,0.8409093893061872,0.6916406615409326,0.698731677100652,0.6519586011960036,0.6639808530809588,0.6184332530459918,0.5481194852782684,0.5536883683577082,0.511353505358209,0.5183994153199416,0.46163677314026574,0.4913358096151139,0.5801007264148443,0.5728748353291537,0.5076338686873527,0.5734466792713466,0.8954993964295518,0.7694132035361041,0.7429575589404709,0.9052752838475304,1.2440554035475466,0.8686144512210028,0.8017765074550712,0.7160092532168029,0.6232033085841389,0.8971018199354254,0.7546908766437698,0.7720249364460511,0.87075434995062,0.5819819662460449,0.4996096736888537,0.3520613912328487,0.43304377724323484,0.4209908687546024,0.3975581855264219,0.574699261004413,1.647133377597058,0.4241095586474028,0.5571940085520023,0.7034592792972948,0.6377970766411283,0.5809689508744471,0.6986643975985438,1.129709874303912,1.5414727947154137,2.2086413025718525,3.728321693783344],[0.5482320526745968,0.4129113657127831,0.4791517339070622,0.3720997235731561,0.3297053818456481,0.35611285182611335,0.27333719126427,0.3309962608515666,0.28060005498998636,0.289754431893994,0.31750392816156325,0.41745009589731275,0.3434480103926483,0.3991545639662753,0.538355837031815,0.4785822832752485,0.5044604864442794,0.560992521872118,0.6395583534733162,0.6276134321727432,0.6288774060332248,0.6392376910268007,0.7535716411109326,0.820066498944668,0.6490010152859256,0.6402968978599392,0.5986315369872414,0.5220807695405874,0.5390434604704852,0.49221522522752037,0.5279066167611892,0.5140973162863702,0.5864642811138098,0.5558632715884008,0.5006365080273802,0.5108793812886241,0.4992535079252214,0.5279081902096971,0.4956299018015155,0.4768405361166883,0.7318598931880238,0.6597769214422634,0.5924709626234855,0.6706684612256076,1.5443451058809075,2.233884279458198,2.0504197807076654,0.7823013437711916,0.9970946433583804,1.3926448959502977,0.9494499289757158,1.7835799774468588,1.237516281551201,0.871606515059369,1.7850199856546376,1.1052938380617177,1.6779574377164068,0.8838189791807686,1.1667802784476324,0.8788205006401923,0.9065684687493069,0.7274658543935623,0.667472536455325,0.9233321454036393,0.641376937824506,0.6097126904914112,0.8630753704580681,0.6842940692852756,0.8507610910969045,0.724416668898201,1.0645226763689797,1.481653470614078,0.9606793718675466,0.9879062593147471,0.6620113634118814,1.2269573749685918,0.6060877344719448,0.5890779485976205,0.5495632417576527,0.5691004102568548,0.5904935155758341,0.5685959218172963,1.075649293270212,0.5768146677053813,0.6112167504338625,0.5271541508375293,0.5309787914407966,0.6125090745648062,0.5209428728545057,0.5626882060469833,0.5582319087597662,0.7113500862967568,0.6206107106726884,0.5406098936552659,0.532363265869484,0.5585230712789764,0.5802413232824238,0.5365510828535535,0.5232358437304738,0.8180681142090289,0.5045074269242851,0.615992495077126,0.49713533989683395,0.5617604633374892,0.5336407944622706,0.5306533279174346,0.6724136595452658,0.5287025120510633,0.5231930261221164,0.6315800084270464,0.3967949269428951,0.3414448414947076,0.3031465355239538,0.383608611195917,0.4164898592163154,0.4280471521463291,0.47648559363631293,0.4817252499323979,0.6078244290174052,0.591350604048849,0.5170563616578842,0.4742406869705491,0.4778761282728566,0.3861299000195047,0.3252551303944968,0.3401956732745281,0.5106255281042282,0.37168865013913527,0.3591943624743737,0.4698717717166121,0.4216396881805296,0.4588301545779148,0.4124968248504407,0.6109583444568765,0.4603018281455537,0.46297098143618176,0.9937280665558788,0.5041858792264129,1.1752836461659135,0.46348171814214456,0.527246535304832,0.6442807597661727,0.6408540594982187,0.4816667419806291,0.46907711593634543,0.46497369803251026,0.3965956598734551,0.40553395122324437,0.39703858754047866,0.41050699124149154,0.44996157949904025,0.5926382057140194,0.8538228128396085,1.6784252075063564,1.2664405145069864,0.6921085739394244,0.47444560414557996,0.5279321281809985,0.47731690827728473,0.4961141015861994,0.4322441363928691,0.4158275643699125,0.4277980125153404,0.42102533840182066,0.4834084355607046,0.5340524898015376,0.524191731869574,0.582075944018938,0.8415600174135285,0.8888431224247277,0.6172477389046334,0.49991196122538706,0.4285557135279272,0.39466498581121195,0.40611049335221483,0.4820658426185963,0.48907125624888703,0.6849126265267714,0.5003642922364112,0.5598994864819837,0.6400494075928562,0.44191302285748313,0.4375328491584089,0.4221981176309007,0.44055739457227444,0.5782672669233371,0.6800778791486785,0.8012550879289007,1.2621991126852987,0.778777932435938,0.8247214187836417,1.693130611764901,0.8427726590858252,0.8260797743263799,0.5867251847912529,0.47858308750896644,0.6284707423215333,0.4268262491835042,0.4010196460645483,0.4657933619175212,0.42918575544941184,0.5037794427515949,0.41451771692804945,0.4217311933237034,0.5057748438212263,0.5362920553347345,0.5783844237615305,0.5605210807456396,0.6682322705915114,0.6270710364317269,0.6427563024232924,0.676049630891612,0.7392855551146011,0.8907861254034463,0.7953781126754151,0.8155587595388432,0.9389483492236629,0.8171369896991728,0.6444276149958353,0.7092930995081651,0.7210019516021746,2.0825051461094164,0.9351224088514409,1.499649555894176,0.7484825757107537,0.8190165466433275,0.8407526170658218,0.8735343610920828,0.6922537043117775,0.5291348151344517,0.6078644509351007,0.5844376492233455,0.5701784819845827,0.47079250782312926,0.9862829228578275,0.5163876829297198,0.5897385899771994,0.780109327697751,0.42804999165330937,0.5574447283561467,0.6577369922470402,0.7179481834914079,0.9757611061022584,1.0792890886597237,1.0751051259878819,0.8840219846789705,0.8817219607736553,1.1136982923343561,0.9439075527888705,0.7608720667086621,0.9747675118179241,1.036501362569478,0.8115565672713395,0.8800468202306,1.0834173328449268,1.0234972325015517,0.8858417633621358,0.930878695408377,0.7625075680718072,0.7685078231582632,0.7087905575688658,0.7119342290787304,0.6765831993498066,0.5944173140498911,0.5946869773240493,0.557992291488481,0.56583669765127,0.4951697113384418,0.519210227256058,0.6253674112297646,0.6009651234773447,0.5289078734540568,0.590708275074688,0.9290488530305842,0.7883997514663997,0.7646530038258778,0.9141014209630848,1.2499282762992832,0.9434904622028278,0.8471582642729307,0.7481047973892287,0.6506288539934598,0.934475231275868,0.7956193501880411,0.8263928966537386,0.9117225177004366,0.6241579443347062,0.5280589405372368,0.38461594775987684,0.454386996485918,0.4529317086149688,0.46153093277089596,0.6558293819243647,1.6991471211283735,0.48244316693879374,0.6223563068277411,0.8021101840435292,0.6822051138941178,0.6357067422848034,0.7879932293703853,1.2369350297504909,1.5585525657785493,2.229204216725428,3.5810575950261323],[0.5360782408776816,0.40649401574203187,0.47138117448695177,0.3897559352817002,0.3494602540494529,0.33616154564254425,0.25657571864290873,0.2876920742892604,0.25166398551017316,0.24259589123605668,0.26113978693999096,0.3933626206500712,0.2907305039081072,0.3218468293337161,0.4756092275500325,0.4276182364908614,0.44280415214467955,0.5146729674563372,0.5881038763686374,0.5834782056782752,0.5870464418254994,0.620724961308366,0.7307558844597034,0.8357973074953932,0.6010874479188586,0.6045130609878442,0.5572637352640124,0.475329107902281,0.48889897152562733,0.45327044918325504,0.4906905434062122,0.4806432172303304,0.5682859355399777,0.54673297703628,0.46550317650794354,0.4673482386662028,0.45431996094292215,0.4854208652559425,0.4552278943984378,0.42731283462919,0.7035914177293433,0.6104453103248665,0.5378862125590431,0.6925310986430546,1.7073194640829759,2.3964490831221195,2.2835066017778054,0.8614611214849617,1.0196122523846027,1.4959173697990067,0.889241167307133,1.689664850159316,1.1577948286358857,0.8843071704928988,1.8061671051402506,1.0596912593711025,1.5708295645981654,0.920168527985812,1.1704455498875814,0.8749287928127899,0.90515427946225,0.6993374844290594,0.628811215885742,0.9155850170771914,0.6167459906696867,0.5688070648052096,0.8308367577215514,0.6265986391476616,0.78350761326807,0.6516377421859175,0.9769114584265466,1.3670259227766488,0.8737299847156885,0.9688363408732747,0.5982325898190379,1.2210161347565553,0.5623044975504755,0.5624376789292985,0.5105147926663232,0.5257456672547541,0.5482794075851348,0.5175331733579137,1.0208914234139197,0.520896265702801,0.5875430726202853,0.4759957575243413,0.48923055536820614,0.5702203418225547,0.47825219138469016,0.5442016261600354,0.5330365862002812,0.7007753644796653,0.6126391816608892,0.5450691742597568,0.5162983048616437,0.566223692912256,0.5530504846718873,0.5292686712376973,0.5040457909740501,0.7933040081487513,0.47865582941265855,0.5869261180832892,0.46381535588302486,0.5370625480406558,0.5111362106973467,0.49585123579981816,0.6549085079084409,0.4886667692035586,0.4870230786700211,0.6097443149442723,0.3506586366988486,0.29965634555261306,0.2715838027721125,0.3445533394220729,0.37555627832646765,0.39984079976504505,0.43334752929631803,0.42692831932024006,0.5440204007590634,0.5249693594524668,0.45892025519666996,0.418194536350364,0.4525947672883145,0.3658061114189501,0.31157573361075414,0.3221053472292176,0.45045910327905764,0.3348773487303252,0.3013797311103913,0.43582932765564425,0.41029942471497755,0.4278957795799422,0.38487733280179104,0.5560642328762032,0.43487568023098194,0.4595916447454545,0.980009889687843,0.5131736541959804,1.2007718411810198,0.47719577127726986,0.48572094492751255,0.6448052820710727,0.6322297043615924,0.4600828265741304,0.4309393219490659,0.4300645577569312,0.3629281821677046,0.3706675799993993,0.3520136488927674,0.3765399601288041,0.4035930761943761,0.5345683175964365,0.8231875674379402,1.7003773712074195,1.240824405253139,0.650328828658429,0.4381596800709357,0.4902560269756415,0.43500440762261366,0.463157933613877,0.4024388718404338,0.37912625782264037,0.40441692000163776,0.3788864247114754,0.45824890817191294,0.5517599821979692,0.5395403250768307,0.6398631731139329,0.913448572687424,0.9340881018475169,0.6511423061691405,0.5082830256489081,0.4152045773547859,0.37337111731992567,0.36867998905916055,0.43723858412571764,0.45552530761015236,0.6522632406458647,0.46952312996354323,0.5072601238230041,0.6445981481628552,0.3951388851667656,0.4015222764247018,0.38331619437133746,0.408917095768125,0.5682456361275956,0.6712951105779276,0.792363693712881,1.3044284540158169,0.7901821610050562,0.9037504070591073,1.7433876002592634,0.898803668140834,0.858809206669756,0.5870458321344834,0.4813491343080331,0.6437517459941082,0.4260993769571661,0.3930142705264957,0.44792690924796513,0.37919143921560794,0.44347923783486404,0.36177113123793025,0.39433431567126814,0.4771288715519274,0.5133623114989622,0.5733580584465985,0.5511092420625182,0.673633135392643,0.6321490502209631,0.6589107216526345,0.6980006029249258,0.7650469601048803,0.892521375620361,0.8285375224016827,0.8483816069594787,0.9762900826788732,0.847064763574615,0.6614360331997386,0.7291424749780712,0.7347835583345136,2.0194269493996613,0.937770326357837,1.5127124158581855,0.7219068504762326,0.7762576977732311,0.8091244337255729,0.7919445592821949,0.657699075512835,0.4795503759441977,0.5515330991460485,0.5382142741282305,0.564750023432944,0.4378856727526036,0.9113607133121706,0.54953481466441,0.6024450697850326,0.8126329486634958,0.4177162615506982,0.5187642209431786,0.6032546946622507,0.6803536533406841,0.9361425093084232,1.0655962563248436,1.0559994594106228,0.8615009213715673,0.8530984243385168,1.0879724977365355,0.9328246243505666,0.7451948811138893,0.9720225720243095,1.0462219376965156,0.8086303267583168,0.8881980088590674,1.1176127887803275,1.059509843287072,0.9025486787068363,0.9524413981702816,0.7788374187940774,0.773240386610166,0.6960438483336185,0.6933604326441365,0.6812993830891914,0.5933617495541739,0.582284865331746,0.5467951722114172,0.5588516475790307,0.49294919129069215,0.5158731807299001,0.6470268236422058,0.6088908826305623,0.547077910577266,0.5986149222011284,0.9856322686403328,0.8030963869044054,0.7841981407019498,0.9489571953620743,1.2832072144919269,0.9976172881827784,0.8933168467130714,0.7572719304557448,0.6540736339809786,0.957621097532556,0.8274825373091247,0.8830217093556144,0.9532954367444058,0.642213457505387,0.5108501095122322,0.3727746090512253,0.4481954189463825,0.40787842148834536,0.412714075137183,0.6008431270958626,1.6946740439580403,0.4323092219454358,0.5795914075585964,0.7225159030870429,0.7055572242736673,0.5846767932748909,0.715142597968353,1.135923685858528,1.5104548352591083,2.238772756639257,3.400063735393372],[0.5519406522445174,0.3928228255832268,0.478319157581536,0.37150334778475347,0.37115022388377994,0.36954761298106187,0.302203073652983,0.39655810823286786,0.3327363395530788,0.2882417382584186,0.30846879496629026,0.43038607936049894,0.3330516460288675,0.3129834697686998,0.4626438453792497,0.42001651478014657,0.4330370036695923,0.470290953428136,0.5124423405569526,0.5308050892373316,0.5119312412042899,0.5766276471392233,0.6258554772383842,0.7092156417075516,0.560137482708086,0.5398898467514767,0.4877915640165976,0.4277301805824233,0.46689467568388876,0.4575120564470678,0.46751337179960817,0.512530418818979,0.5657068404887038,0.5403274151936028,0.47141586272992847,0.46900471121375575,0.4698922971385929,0.46825046193550457,0.43216932269412683,0.4197975717859407,0.7058931031436632,0.5397576814854593,0.47821719585438244,0.5869514175169542,1.521577776195777,2.255687544682829,2.154371993558823,0.7712911021189505,0.9812838633995613,1.4491855181266464,0.9466993257733718,1.822976544026641,1.2441419053903346,0.8497078229189065,1.9449916266097627,1.051172021483949,1.6212634236090762,0.8641093893231538,1.2240818187115037,0.839480561649725,0.8468176037499919,0.6813107404316795,0.5931823045717205,0.8138058635348608,0.5324940943732189,0.5273271447625184,0.7756829270614598,0.5871351818146947,0.7132086076881483,0.6161683447671885,0.9600965250412187,1.3388946891930225,0.8510338313079125,0.8701670415631243,0.5658131467285575,1.135587578939944,0.5283141625879099,0.5299366523345799,0.49560664219502915,0.5286318869912016,0.5438963339620394,0.5425214584825032,1.008779942914636,0.5335453577532118,0.5734493035676529,0.49330171341357737,0.480736989554111,0.5770242227208994,0.4700625442924145,0.5404350023051945,0.5063187951707894,0.65121641833286,0.5696589666983748,0.5194837484421636,0.5070203694010395,0.545894524626613,0.574783209900313,0.537113984544298,0.5443794234359547,0.809402920606923,0.5302972259170671,0.6897843549771844,0.5196744325577823,0.6298930833006876,0.6081697954756675,0.577247767538245,0.7615160422210432,0.5550113025800637,0.5577486657117796,0.6715942677834859,0.44743721295268307,0.38425662811041317,0.33339627228405655,0.365685208926959,0.37071958840960995,0.36244041376824404,0.4154177994163044,0.3707641344066105,0.4728976278163772,0.4793405094942165,0.4044679754081908,0.3681101280121527,0.4013744999165204,0.30723528889173146,0.3158742658286301,0.3139951699031214,0.4414579049500313,0.37018886470678125,0.33865929681884643,0.4992899116493176,0.437451544678814,0.48890767620007136,0.4210133597390522,0.6538642488562454,0.4470972867982015,0.47699330282610136,1.0546833883716682,0.4483712242166598,1.133268469964503,0.4237983685158258,0.4527341338107596,0.5102834199870623,0.5195699042510216,0.39445832553386934,0.3772755061620453,0.41523176775556886,0.34611309511132576,0.40611484274866855,0.4044444240601982,0.42754983987618855,0.4891978550824032,0.5836369121742746,0.8970393944674249,1.7195743934748644,1.205624670610025,0.7003409930219636,0.51093356899739,0.5607083100712896,0.4866707152401482,0.518339681786962,0.43192654222520577,0.4091466619160276,0.36550948549891854,0.36920473215122607,0.4476010876400046,0.5235511793922544,0.5299126603322063,0.6716982552433425,0.9792930892118376,0.9576177473681631,0.6915258541841204,0.4995178719237555,0.42014400286544146,0.41113143960286314,0.4141009415680269,0.49861100372123573,0.4871408879605382,0.700979882393494,0.495274064170222,0.5772838857153244,0.6450173558297081,0.44880900300152493,0.440235135563757,0.43018012079045026,0.43633145332563095,0.5519786451875943,0.6615975247211002,0.7633945321986482,1.364644049504067,0.7918162894406898,0.8382756121803154,1.623969407515049,0.8564651732014937,0.8277543732614041,0.5542811377985442,0.4716419803808933,0.6128767622512202,0.4120743516308404,0.3955150633625881,0.4607475958449646,0.4343315715101847,0.509972025531661,0.41058573623745004,0.4260531068631611,0.5464253427670164,0.5625504703367975,0.5464360565254703,0.5677831919108496,0.7163713294782258,0.6370176907311166,0.6516590437747327,0.7106169635557159,0.7763183108649667,0.8911770535177229,0.8051862931868954,0.7969372756852986,0.9608298424277464,0.8061928321002438,0.6447999390347872,0.7475613858970048,0.7660288476561818,2.080531233181278,0.9976094470610553,1.5688848484935212,0.7750385323941587,0.8272508123270282,0.8673135957155115,0.8526639289288961,0.728342101375125,0.5689133934935438,0.650313738790149,0.6211904603587857,0.6550060428985919,0.5071229781699701,0.8938948432465528,0.48983018943831963,0.5553311746079804,0.7294211790372739,0.4108520723770839,0.562528888240868,0.6430446067230888,0.7732642451244812,1.0008859054186785,1.1525486920408827,1.1094383609030547,0.9348118112919099,0.9268440678983052,1.1537847341538274,1.0002460744435142,0.8027244150964226,1.0268097399211413,1.09736397200896,0.8569345805429139,0.9507642262788842,1.1800716288847988,1.11318759744058,0.9503021159236417,1.0095543205656863,0.8308049225709719,0.8454873288803053,0.7814829575798623,0.7800991960670635,0.7293510917597802,0.6369419363090427,0.6552630389964931,0.5931226089565778,0.5852670803959263,0.5244953074536154,0.5598197610262869,0.6476746216729261,0.5892545375821688,0.4978964344413094,0.5862674191322989,0.9137191282439863,0.7384011356306788,0.7482854663811742,0.8512707272804368,1.204573398196964,0.9750682297242773,0.8399634618259902,0.705899137708627,0.6169571907243896,0.9243661485425557,0.7940378709792769,0.8297487691841563,0.9024573725291409,0.6173932573558949,0.4994231732603759,0.38728487568633385,0.4773915134356118,0.45571486716823373,0.45053187075593065,0.6128590242374973,1.7115169703972057,0.4488778150746719,0.5804498122124271,0.6936190107693283,0.7482861900531504,0.5912923164723792,0.6999581051261307,1.1030653349639064,1.4918884135264587,2.249941302178573,3.249286851467054],[0.5587329760974544,0.35208155471539637,0.4530324000233783,0.3571981517568918,0.3480572256529206,0.3506243398532805,0.2680283931802341,0.387342461039292,0.3168366392676091,0.3168210964262416,0.3541722854955132,0.4503717482860753,0.37330881418085204,0.3613076135233002,0.5457064682270629,0.48485498803454435,0.4894157593886908,0.5375233154743486,0.5800595041271848,0.6014129912672374,0.5879760904976153,0.5960687154815377,0.6905817732137506,0.7394892392217426,0.5840359822472679,0.5775382854428579,0.5316357122795478,0.46945518794488494,0.5196080172313908,0.49595026920558344,0.5636361288249538,0.5853400915871069,0.6286813826392124,0.6130773275175214,0.5481221860487663,0.5319082703946316,0.5301689090538588,0.5219638384396156,0.4759244593121455,0.4624415525532445,0.7252354134706535,0.6034902557666317,0.5398734892266909,0.6040115474196048,1.467817700914288,2.1840087452400154,2.022785616997263,0.7371268667727434,0.9651042067812178,1.3774858383633375,1.006176529055928,1.9181502874067704,1.3540955253470137,0.8766435158592557,1.898203297625371,1.139024288980846,1.73749600796026,0.8340065816029764,1.246380464955205,0.864358154179761,0.8800980789673817,0.7364291747691334,0.6638488968918099,0.9111179399385658,0.6201964215441265,0.5834234592136535,0.8471373590245566,0.6830965254877762,0.8090605568112634,0.6902946861782936,1.0373757704389113,1.4754020485604975,0.9641499064820849,0.9994813129244893,0.6505763845201342,1.216766282766764,0.6050205624714213,0.6259202761890312,0.5732812402349194,0.6037475355314518,0.6097257670406231,0.5869925492568907,1.051538354412556,0.5869073534085308,0.5964427046312364,0.5404735128771399,0.536052373573916,0.6380122886208713,0.5324998953639838,0.6129556975972824,0.592890508682034,0.7496087320472047,0.683269109644375,0.6235001849480505,0.6035824282285055,0.64215348682114,0.6861086420244779,0.6038142518727644,0.6152455392016746,0.8684897052548034,0.595915431666939,0.7258368479382576,0.5845928501017148,0.6829747809618665,0.6461501027899698,0.604690514476321,0.8120527731191536,0.5600267510024634,0.5494926409643812,0.6872946809449728,0.44521461938636503,0.3936993169828948,0.33757971270292664,0.38165953912444406,0.4034728953774321,0.381897820183065,0.4328387302803687,0.38863204337934615,0.5144543276507167,0.5287660563308424,0.4335311393966528,0.394709886322183,0.4117992765514086,0.33115247544435233,0.3094178985163503,0.30222919473417764,0.4125187152749778,0.3644536164197215,0.3249510823397943,0.5256867216518177,0.43477750602478504,0.5026082148120279,0.43478967749784164,0.7038668513998401,0.46697284788021864,0.4811655792160847,1.0847936713301751,0.4419258182207748,1.1129918923012747,0.43011542088845583,0.45654512408551645,0.5398450340895643,0.5688210231362248,0.426061551019185,0.4124486885143972,0.4471075865948357,0.3873279777238102,0.4411977519212095,0.4367957053758929,0.44704797201730484,0.5050231129863879,0.5994794660525216,0.9724939798308628,1.7765263887797944,1.1796687418390746,0.7460209328277536,0.5546240053135254,0.6080658356347793,0.5406456963679438,0.5551067006332376,0.4506781020624917,0.44704959783796,0.3921887111703421,0.40755152307431664,0.46149516787224126,0.5272153503031569,0.535467102542974,0.6590977577100827,0.9682262460696553,0.9466977691702959,0.6880799090014964,0.5086043079310477,0.4298832019248291,0.42231964318086834,0.44370552412015984,0.5457087522763645,0.5405923829126883,0.7542994566049691,0.5512894025443072,0.6332383547616679,0.6451036319185999,0.4895870353652451,0.4791737731612181,0.46396784609662955,0.46140017696813485,0.5552767363329342,0.6676875210041942,0.7789985040839399,1.3507230149093614,0.7863897472634338,0.786955598862889,1.5564757035711851,0.8122883906315678,0.7885352140000235,0.5636914045556142,0.4981564761021273,0.6403941540812713,0.4096637830899533,0.39939576340892163,0.4610868873178815,0.46144924779521806,0.5327409524237514,0.4214296292312853,0.434851636329028,0.5713830482608272,0.5726215840144739,0.5467045753082828,0.5852357046217646,0.7433712212872602,0.6398989636495169,0.6642010093772835,0.7357971140122418,0.7830287785206291,0.9310641051843285,0.8357270466275903,0.815803989511687,1.0020284312492704,0.844556346794161,0.6762685358691524,0.7883712905144014,0.8275124019354568,2.172624738114263,1.0688286092745294,1.6202731634882959,0.8387066605503118,0.9106583679199343,0.9396097064090191,0.9208916255142078,0.7960581379243135,0.607452654755469,0.697932010515903,0.6452058294233386,0.67611084544177,0.5372663053348039,0.9382418043739162,0.4792651793017396,0.5729152748759272,0.6988951207662988,0.4086028257355071,0.5683907185953623,0.6839331589845341,0.8182375900810982,1.057056857255409,1.2451889993358949,1.1660628852955912,0.9836275057623862,1.0080770884879295,1.2187718122765934,1.058996077601308,0.8595051043724564,1.0993296871503262,1.1472122776888396,0.8923510416786944,1.011101021318081,1.2348532585551255,1.1270292643512607,0.9909308601147736,1.0798215827737225,0.8880898060111588,0.91257737384275,0.8375959743504752,0.8371314359543394,0.8040906566315978,0.6802827127120789,0.6935636852875499,0.6417390855331406,0.6194534160199848,0.5472754911650057,0.5983114182137061,0.6677388367757405,0.6015840178111396,0.5018436431794123,0.5975883114334535,0.9182394737023082,0.7363161821313268,0.7591812527105228,0.8440480577078727,1.19257633298854,1.0250648800035134,0.8606559323170224,0.7206511040988748,0.6379238392483705,0.9556149270395216,0.8217513198736147,0.8502785057429825,0.8958748734901271,0.6232456897342986,0.4827637908582234,0.3883888442715672,0.46179714989314447,0.456329239832047,0.4435999447084573,0.613387708848551,1.67414303426242,0.42647353911026586,0.5842736164605089,0.6902424313773207,0.7186919292688643,0.6009700938125264,0.7288803085681897,1.1031873787568613,1.4399195189452874,2.1841905573217244,3.0765769636374607],[0.6350283628927178,0.43392891001006334,0.5136820799046157,0.39892892174583056,0.416074178217318,0.40558708714775976,0.3398662241568904,0.4697557463869195,0.40712724993972,0.402515866965594,0.4330601493831126,0.5152412287524273,0.4639795510058109,0.42201133069845753,0.6252914707281015,0.5551076119414389,0.5425976692729706,0.5804369317665214,0.5962303666676624,0.6369656082916627,0.61487332160708,0.6439749326835866,0.7108848252079585,0.70256189762086,0.6134200071144479,0.5822672186205731,0.5465757956098672,0.5014707075131647,0.5726527041431031,0.5610771671084696,0.636272181342129,0.6737699374079913,0.7293856363242258,0.7127912984486833,0.632164879684458,0.6018501144751184,0.6032614554988585,0.5862808463162618,0.5310789497401044,0.5445527425460296,0.7587303386490435,0.6462850443309507,0.6050305769337666,0.636811844979499,1.2759769374989316,2.015489835979109,1.824550040410119,0.7842468994744909,1.0293720636731079,1.3709073323359333,1.2451173262512805,2.1989943803637653,1.6405999897203267,1.0582496798975418,1.9710555149204723,1.2381351746236182,1.9055706415216973,0.8578570389130779,1.2939427478350438,0.9069133457165033,0.8888872853711973,0.7991092673097627,0.7464195843570249,0.9479805731841552,0.6582081996065721,0.6293181645704218,0.8924350381052706,0.7504187992518886,0.8323608170323797,0.7361151336888572,1.0655177664610302,1.5237125317430467,1.0344848921710694,1.018827448406215,0.723637742816495,1.1931881959040256,0.6831832220484249,0.7205294115820762,0.6714574624438748,0.7061619865062277,0.6987468026630244,0.6682835285840453,1.069252979232704,0.677249151245376,0.6293011750216704,0.6198247528490626,0.6229157161016795,0.7071970107094341,0.6096674724428232,0.7085197035164886,0.6841720572405755,0.8133861276474109,0.779530184026494,0.7304355901965269,0.697066019142721,0.770573723273709,0.8082669222395013,0.6981424019185348,0.7098149319314021,0.9227866963595761,0.6991890361463057,0.8205521133060449,0.6770565798565694,0.769531288443904,0.7300861994368046,0.6569635407427789,0.9107079517650739,0.6169724481618574,0.6124662315031137,0.7163705156427413,0.5241052479339725,0.4606928746162429,0.39551412054539575,0.41085499420960875,0.4301199977080594,0.39669903370625687,0.4527629500994336,0.40134399908415025,0.5179358378201727,0.5403771696374103,0.44405633333926103,0.4189669753983683,0.42005974522195305,0.3547483426988242,0.3529020284988047,0.3520861445806483,0.4697567607577165,0.45779794664691026,0.42189889272356745,0.5932047489935256,0.5050257175427895,0.5976922466630229,0.5317593989205421,0.7768989425507254,0.5438567690317608,0.5432398733241529,1.1636480491669707,0.4643464005587781,1.0634767390027375,0.46424646287697724,0.47331301068547593,0.4806995214666324,0.5344788880796559,0.43067369515618736,0.4462496678430756,0.4848754585992335,0.43381425072594876,0.4928083195250973,0.4992714314066683,0.5098690284789299,0.561775355662529,0.6022187033673273,1.0257705297482211,1.6875310079750638,1.073263362054514,0.7766132918130778,0.6338810755824095,0.6729774712200354,0.6059487400219217,0.6194074888792082,0.48093314238843965,0.5069045066092772,0.42950809831473635,0.4684074356852898,0.523064226828279,0.5557350461426763,0.5869642805138948,0.7143078525538012,1.0240628732584585,0.9722679289722284,0.7507926596227404,0.5581345301628017,0.49169779893926985,0.49552293484083654,0.5228285200613298,0.6151091332351095,0.6135654864777176,0.8438204436232113,0.6306854363141808,0.7185221439559125,0.6695560814152192,0.5548787733631966,0.5620136309187372,0.5535255699924099,0.5440214221045672,0.6129795042957334,0.7265710424782886,0.8115735856951333,1.419098255526509,0.8512450528216555,0.7430447588637468,1.4313124309037502,0.7912635830256535,0.7889618886502233,0.6140988923062948,0.5987548698913453,0.6924368796169121,0.4750808333966873,0.4637538147883906,0.5135775989408046,0.5561751258742441,0.6072030305323193,0.48844698245221124,0.5121566374955571,0.6639119857440686,0.6335980924990964,0.6072524898837219,0.6678659248091496,0.8255615281936776,0.6884874012177558,0.7300754638615908,0.8206622180774328,0.840151604125919,1.0119381220931944,0.9237489699746482,0.8951011645594282,1.0589764632396086,0.9299272847540045,0.7699655174774804,0.9060909005488795,0.9717028829053826,2.3716134730128644,1.206021320550309,1.7150182042852893,0.9684054655189208,1.043923283536486,1.0585165182078244,1.0461827071083614,0.9307082291699866,0.7339903420935403,0.8274566864916657,0.7668448581082026,0.7771033919812584,0.6558167517178883,1.0043154131531717,0.5547953040365236,0.6546058318549862,0.6950774168144674,0.48858612335831125,0.6501393754262936,0.7791466327473939,0.9273014991021689,1.1402413850436026,1.3731016499002933,1.2501196623145194,1.0701936977917825,1.1258676684044828,1.32560687737582,1.1437176274514453,0.9595870801591713,1.2037035037454997,1.225320116398063,0.9589290765434761,1.1203486207320876,1.3361606386720728,1.1739280127463296,1.0728995355861497,1.192096431004522,1.0028696218183697,1.0411643163748845,0.9685116808692432,0.9862763243146598,0.9452855471779302,0.8013128354552175,0.8298279853841339,0.7869775497327801,0.7422866785610892,0.6403081006942848,0.7180418263561166,0.739309614322421,0.6648065507138202,0.5672407400821879,0.6895655803484863,0.9782851868012217,0.7724153401816881,0.8043734204725813,0.8648169939894352,1.1732072824020574,1.0822363231613308,0.9210847068348998,0.7802379876611061,0.7285914913969099,1.0352451431076986,0.87678394771068,0.8761441081280767,0.887855991418321,0.6814292603192875,0.5333325867845807,0.44954275043752656,0.4891242577795751,0.5059785865510078,0.49682998488739255,0.6773778924921693,1.6230931508017765,0.46394304777409007,0.6251358807047092,0.727402531430128,0.767580190331178,0.6093288060890565,0.8141948266420186,1.0791632515348524,1.4113882124866992,2.0990798587655224,2.8441581832444216],[0.6271151982233716,0.42077849575955106,0.4897467618087181,0.3819130807007141,0.39215539984340075,0.3915822373830372,0.2857587314298887,0.4078833992497596,0.3431006528752613,0.3461253029119782,0.38016086314725744,0.465363539628161,0.39679608091825497,0.38149848826276117,0.5585072848183121,0.4863082804177904,0.5023291187148851,0.5322692981994831,0.5746866051967344,0.5911936718316145,0.5895391344983961,0.6170786908124386,0.7114565391742909,0.7471299787802156,0.5784058108785387,0.5708927017884986,0.5132724538529002,0.45917861573375246,0.520841232395979,0.4889485898163812,0.5813963439600418,0.6076407251821139,0.6675862749084175,0.6519760471725049,0.5637501197120857,0.5313796868303894,0.5335848386234249,0.5090809713117317,0.46319009380792087,0.46351377315700987,0.7086448496330993,0.5805307548493409,0.5285479155131046,0.5861074196465799,1.444630187593625,2.1663406744495837,2.0400529875097804,0.7296729360499148,0.9672501442262249,1.3854952291112759,1.0483163018802208,2.0449582127741803,1.4463199546421786,0.9117204781210281,1.9360172595002052,1.1653182472571144,1.7709706224796178,0.8174169293357274,1.254272020047512,0.8722681366115339,0.8863340797755017,0.7441012824015913,0.6961926451113101,0.9500424478587179,0.6394339288844771,0.5885425179192806,0.8690835280808134,0.7082796095969437,0.8353589562761498,0.7156818624296659,1.0749553915807708,1.5029813983083398,1.0038516844369936,1.0510503532880413,0.6840954998844704,1.24453031061994,0.6430085008113031,0.6675082592174654,0.5947007692836281,0.6153803565307482,0.6220374067438897,0.5889955670013841,1.0362753381652097,0.5889990670533227,0.5763807412677993,0.5359916810136484,0.5374938812343671,0.6383372579918636,0.5359799338260028,0.639453915125234,0.6405243846091438,0.7799370139145958,0.7309557333808688,0.6730845796222572,0.6375701317263068,0.7042439829477471,0.7244090672216981,0.6316746988318444,0.6369356270761325,0.8864808780977006,0.6294400187042601,0.787160026601229,0.6128478874689571,0.7255710213502994,0.6804507816941918,0.6134461613121526,0.873725914444156,0.5716192909434287,0.573027842141632,0.6818857438571676,0.4798680533004775,0.4099161199433247,0.3195771007545133,0.3685248045545746,0.3858440423610532,0.3605174938842818,0.42266745549709195,0.3688595624023316,0.5232800495683032,0.5150154135874628,0.4477508552780771,0.4023387570924849,0.39084358741651976,0.32181432302546586,0.3154052088112563,0.3057120714515973,0.400195481893563,0.4140114058801396,0.3806065022998285,0.5697991680501386,0.49074827106358215,0.5747938533398327,0.4833397514851158,0.7064017129369005,0.5041970888543904,0.504287281278534,1.0644312246411027,0.4297611722369107,1.1244529615304324,0.4432743543137032,0.4302720574679695,0.5218228082709452,0.5279113371433589,0.4006927007716084,0.3906109743269484,0.4264754143166527,0.3704515065324451,0.41190147177854725,0.4252403429235391,0.44892440817310364,0.5183750810395624,0.588974223939574,1.0068294249510448,1.6600764835601987,1.0807793270113846,0.7530606050484485,0.5724441110256219,0.6280425449746304,0.5377596213654631,0.5677243930667628,0.4393571032441184,0.41802600080135804,0.3777356240849314,0.3779930101274509,0.4703809476744132,0.5646459022803222,0.5832630225992305,0.755911136095751,1.085208964764746,1.0105115595391663,0.7579936757019544,0.5452601376233612,0.4495295539125109,0.4429100555581878,0.4511587759309287,0.5467511884025614,0.5419312057604487,0.7855391585711278,0.5436442144156971,0.6431678762145907,0.623095172249595,0.4976964455396675,0.5106970276958179,0.4979571685423843,0.49809594756974035,0.5397121566960155,0.6647783899604471,0.7677172204457077,1.3837685646545161,0.800870162400329,0.8056353330839564,1.5338861489112738,0.8135508700189196,0.7960819430541061,0.5967255973780515,0.5386379994601632,0.6396199270970078,0.461651685185189,0.4665880301837225,0.5224482779815787,0.5432991212086511,0.5950935526134024,0.485689557348619,0.5094984828285096,0.6556166278155807,0.6327697124412852,0.5910031066150458,0.6578915847049306,0.8235707319582727,0.6826301916735327,0.7168702171657578,0.8152548444933124,0.8297177400729864,0.967443856152858,0.8997280183301819,0.88166450615179,1.059338468636722,0.9329328193518145,0.7626824755875674,0.8973079450447211,0.9605868052163131,2.2069283444092154,1.2078087963230506,1.7372420890935285,0.9507956654872872,1.0082842128452925,1.0211372002097812,0.9757983063336698,0.8936572739077131,0.7047248470596177,0.7800507262549344,0.7184540791473182,0.7675479404312003,0.6382185555844039,0.9543355985187559,0.5962759838784235,0.677450431621461,0.7050955201267876,0.5013689635000772,0.62166086380014,0.741841759452063,0.8922940914882966,1.1120751780973188,1.3481395876976636,1.2215073956032712,1.0552937714885011,1.0994128211109617,1.3009550300479384,1.1232706447871124,0.9471861427563784,1.2091949797167483,1.243593821292865,0.9624279753025857,1.1217107673956606,1.3482433945124217,1.2124824903829954,1.0741710720014037,1.1945405162533695,0.9932561954869114,1.0376646409382744,0.9521223950199676,0.9639152031905829,0.9312073601747068,0.7911628590811162,0.8064801571866791,0.7631303990590894,0.7290217583955161,0.6483184794179903,0.7166319803979934,0.7681297012566359,0.6737963542832034,0.6059887305996542,0.7126973746774149,1.044698699381452,0.8047183504750717,0.8198293171783512,0.8986062797563297,1.1882987710428348,1.1328716314338356,0.9480829183143128,0.7851539141405557,0.7178371797366058,1.0654649657604611,0.9406830086370229,0.9675060377561624,0.9500258317908364,0.7175735165439862,0.5486743729399787,0.44338096400431576,0.4605241655304627,0.4802607955114018,0.5117911012012275,0.6798005257621248,1.6693570475531239,0.47406784052280965,0.6103001266152371,0.7010189396321262,0.8166424879454767,0.5854271114108263,0.7553414184427508,0.9918778850969362,1.4406780159474977,2.214617470300689,2.883773701986196],[0.7171717260264046,0.553605659777601,0.5980858270386421,0.44917723101199697,0.46255290047599584,0.4592221849975401,0.3548778258038758,0.5018849914396086,0.39502070100629305,0.37643007207805473,0.4339693067994345,0.5355143241306738,0.4697273073033466,0.4234972699180011,0.6436524502312221,0.5664266896526131,0.5655185502132178,0.6047436698695144,0.6378566431509628,0.662840828446699,0.642488795150493,0.6297205624099662,0.7449224553635708,0.7324008350811565,0.6143338313935519,0.5982778409774145,0.5582150381999184,0.5103207783728521,0.5826402498752307,0.55843000328109,0.6766006720539578,0.6953876161410066,0.7608564297014975,0.7592548535276553,0.6653167747755535,0.6242963851165447,0.6206052924778968,0.5854066231717694,0.5380660186592973,0.5503786881220754,0.7313964969559594,0.6595200387725243,0.5978264890805662,0.6112280052254512,1.370337923645385,2.087848277540993,1.9269861820139202,0.7389097928607611,0.9777232767081843,1.3659166384282952,1.1581819847840282,2.16286794227603,1.5911271808777356,1.0209722201860354,2.0262077524743285,1.2056407208584028,1.8067545280397537,0.8862886736409683,1.344487072289786,0.9584759229513041,0.9428084199867474,0.8292948500032287,0.7709807839938593,1.019619145585952,0.7048774092560943,0.657016584496574,0.9397309716130458,0.7972118288800516,0.892213205944953,0.7912840023736905,1.1359804251696002,1.5845093591614015,1.098030736335703,1.118078089192998,0.7876069405584023,1.2951080229512575,0.7281814553898459,0.7824123291113979,0.7023512573841062,0.7310174982348018,0.7278113852991622,0.6740823464167869,1.1118844171610902,0.6921868684174333,0.6088848704081301,0.6163219320924128,0.6144573947773669,0.7163911244584527,0.6315234788699916,0.7509276790690886,0.7352072485572348,0.8755740037489491,0.8430749094255495,0.7848748772498297,0.7336320457132036,0.8167265816880322,0.8274456718418187,0.7242635939907689,0.7284741159724095,0.9539264949752663,0.7314851007690787,0.8561533973324384,0.7154917150710915,0.8222391545951956,0.7828428257799533,0.7182731726570525,0.9925192141942716,0.6958835675381354,0.6731343180165985,0.7795033976892323,0.5863510264188156,0.50696611813199,0.41224767974337706,0.4188979714997105,0.4299378829187039,0.39638819863088753,0.4530003035928382,0.40933212081644005,0.541430566412748,0.5692763854131869,0.48193385570182967,0.42704301541309897,0.4098980180419895,0.35038512518503806,0.35656100508510796,0.36023964187612945,0.4648372381920496,0.48474557927066425,0.4788831453327635,0.643838823518026,0.558765691418363,0.6667370301945519,0.571840823015313,0.7898071822791206,0.557746182724821,0.5525442798583902,1.1222383638054338,0.46423442791180947,1.0926315100222286,0.4830574674678998,0.46168518552264437,0.5379239833242101,0.5692613875594081,0.45777948832745735,0.4528565668537484,0.4934508322252157,0.43979574440899727,0.4886730803175158,0.507500516485889,0.519275678679835,0.5973745630434262,0.6468885222786801,1.0794967707482743,1.614897755455205,1.049497887733773,0.8232616196171881,0.6533635039633846,0.7140623654376835,0.6219371832850864,0.6658372967532579,0.5129662164748856,0.5099622806197545,0.43682693178247695,0.4563984148732082,0.5071917527836222,0.5817631988106342,0.5993514013499116,0.7653971077770935,1.0943918214018995,1.0149236832399948,0.7763614756011991,0.5687209289083864,0.5050465120712756,0.5153237599153137,0.5419384714501685,0.6476963654920247,0.6399448854515067,0.8954747915181089,0.6504672263871406,0.7464828834825828,0.6988998374006355,0.5941443369163661,0.6070107397588248,0.5938696308096754,0.5764299063034365,0.5874999845081779,0.6793276870251167,0.7802838298270258,1.413456580205664,0.8363689065191767,0.782997420928398,1.441398933676183,0.7995278010864111,0.8223878476498915,0.6601558319661046,0.6505079418172157,0.6889807898965185,0.5519690516425095,0.5752690449818014,0.6099776467020116,0.667631222463361,0.7039756074229105,0.5917264536039744,0.6240916480391696,0.7744706295661118,0.733546797405643,0.6803415038000256,0.7696869225583476,0.9222593431557908,0.773926134777153,0.8253140594484086,0.9213446136042142,0.9100758199908295,1.0788419404282916,1.008317348282433,0.9851152386264452,1.1431624431465706,1.0328321918167935,0.8781192218146464,1.0130396279804819,1.0953020596177527,2.3309840065726877,1.374851914735751,1.8602027038845992,1.0959894691505896,1.1599878985492595,1.1550124700063067,1.1229371899033416,1.0366726819244374,0.8484213457218179,0.926729471377888,0.8658846281329704,0.890009372019092,0.7827539036096184,1.06979319199854,0.7089460707909322,0.7624437539085447,0.729810231263759,0.6149832986885106,0.7305433967573232,0.8748496038576571,1.0214085554707777,1.2207799525053213,1.4859903367950231,1.3357528726310446,1.163273831626449,1.2230858169369205,1.4023927104988465,1.21633881072704,1.0430525484102375,1.301584506906426,1.3094103809964053,1.0364072914400781,1.213959317751607,1.421278581086194,1.2591053174765938,1.1551472282969462,1.3016644505043093,1.1096122456443418,1.1590766200680642,1.0784124071065808,1.099905056656639,1.063441426629408,0.9157914065243452,0.942411927732912,0.8972501414283708,0.8503864774106663,0.7665245893951333,0.8430030718374995,0.8805010965695541,0.7748767610269048,0.6987056546977184,0.8311423346968151,1.1028152491417813,0.8790745456360164,0.8857245807844636,0.9705687889501425,1.2198715432071578,1.2219819171126145,1.035562774053135,0.8771775851829884,0.8328433041591823,1.1637186322285216,1.0133315516113337,1.0267411039093708,0.9707335064091442,0.7757259018318753,0.6159055381279057,0.5590646112081591,0.5469855424611825,0.5650436926985544,0.6250422540307536,0.7894895403941916,1.6392441566705356,0.5829208122146246,0.7178347510793572,0.7977159763261967,0.8855858561540193,0.6439295620293225,0.9082857986368851,1.0423715047407685,1.5159921883813294,2.1475036934176166,2.8802200647309566],[0.7480204952065744,0.5820205415569103,0.6163316906584188,0.4773279862562284,0.5403474752476678,0.47930181524971277,0.4348936380785758,0.5810943462823649,0.4693387007712532,0.4261270884665289,0.45765625194351345,0.5602514286631278,0.4935418055992752,0.43889499909260427,0.6221398034602222,0.5658482324187173,0.5644696078691462,0.5997944280899462,0.6313522313883508,0.6566995646380437,0.6318834459096374,0.6299016969443538,0.7302771942486055,0.7556880366211082,0.5970123309069706,0.6012635274035693,0.5666787607262349,0.5207115864354008,0.5786449622916233,0.5736386641521678,0.6670278049876605,0.7054059980622672,0.7665834961923387,0.761392427519865,0.6742379773878279,0.622306591610397,0.6287988678796522,0.58715890714098,0.5532306696101587,0.5643417604211509,0.7635856209481232,0.6512011558322125,0.5840318211914295,0.6353444929073481,1.4933368241991913,2.2177791121602133,2.1017345342238403,0.7839953719527782,0.9944777847548639,1.4548705362936396,1.06639127553231,2.0358233355046407,1.4622515405116305,0.942455312860134,2.0408795485612545,1.1600013574269679,1.7237936896360262,0.8917106275317678,1.3625857939802977,0.9608581055613885,0.97087055296141,0.8218227581598228,0.7494432096472756,0.9748541642273295,0.6844188953142089,0.6461468221256267,0.9063967168284819,0.7626910029740277,0.8749207331418104,0.7578026366378319,1.0931651646662905,1.531536017084601,1.0445485665717071,1.1073095370645567,0.7553392790455622,1.2862575866065857,0.7068221678944091,0.7716634814684817,0.6955939494723565,0.7300136482552866,0.7380881169471799,0.6824843227889789,1.1243659315570254,0.6961433104507654,0.6273279152336716,0.6263371783481453,0.6177893439393857,0.7267433752084861,0.6296200526024198,0.7506925131095574,0.7220159184568553,0.8716232311626576,0.8281757780603849,0.777415861009798,0.722399051699205,0.7936962102116969,0.7983666336603149,0.7328703670442945,0.7461369199966699,0.9788615250084206,0.7535980834596099,0.8852569373230342,0.749570315457917,0.8531937834452258,0.8016215946280175,0.7592966897565996,1.0116143320995712,0.7709083313015569,0.7715486454223313,0.8201832499719232,0.6860224995116893,0.5668365675255473,0.500147423761612,0.4753073322223597,0.47782348646533723,0.4337545153825979,0.4845131360016218,0.4645070193663357,0.5564029109990821,0.5775721118851476,0.5253786765146571,0.4652942968463019,0.4733175645536967,0.41280254528444055,0.4122384601649603,0.42659596591555443,0.4870399111756666,0.5370129755643828,0.5360582010654409,0.6528109707179135,0.5500096660159952,0.6747262783470823,0.5809410848711937,0.7855937237806326,0.569270496368485,0.5971663652831464,1.1944775598557484,0.4987065381306692,1.0572357650667925,0.5466101907728796,0.49574646636662534,0.5992555192323297,0.6175956950676791,0.5091184600519001,0.4923680508616972,0.5245310495990917,0.48736282070542436,0.5431964504462634,0.5550667023397178,0.5770160886712142,0.6674956741948859,0.7050257268492992,1.1310960030286927,1.6060598208691073,1.0771406940331143,0.8611332309157378,0.6885752307838203,0.75903296665725,0.6522731984142466,0.7235499932699375,0.5645055604112984,0.5545412096231419,0.49231384075622225,0.5014948884487674,0.5134814004053123,0.6167061486901853,0.6015886786511951,0.8119097040061058,1.115929220724381,1.0185523437100836,0.7707454062903476,0.5872236538470651,0.5115252907026965,0.5525370337485365,0.577677670820784,0.6756054482718497,0.6570044938519463,0.9160296603697689,0.6687191610749345,0.7628784874646535,0.7459770609099029,0.6339351374819518,0.63744858178499,0.6286033248366281,0.5886528997533454,0.600569857718986,0.6797790620705162,0.7742286655723831,1.481634775779624,0.8894845486177367,0.8144441100534906,1.418924653700134,0.8253051082794244,0.8613081328454528,0.6651871810390185,0.675236007452104,0.7379950578869928,0.565742580860721,0.5995848644294861,0.6240034082678669,0.7110232076892958,0.7495286023621793,0.6317569951436944,0.632364295909333,0.8177674238958358,0.7628079008723075,0.6403038236724646,0.7664164798416222,0.9586255067866176,0.7630545759523893,0.8031456279339557,0.9241683867511946,0.907289951978397,0.9992593927243165,0.9804895164579766,0.9531815601089145,1.1275296608417293,1.0285804453921787,0.8781068986906712,1.0383822969485594,1.1394724429992116,2.3432845027478564,1.4194966193157454,1.782211383845269,1.1151247521209036,1.2052212781679628,1.241262779070986,1.1759791477909394,1.1074968416487114,0.921162467786136,1.0061690990519576,0.9367573709418386,0.983356164593007,0.8506220316867189,1.0974863078819452,0.7873532056619776,0.8011368976160832,0.7692932956595204,0.6403370030995981,0.7758873967723532,0.9236919193103118,1.0824400596795425,1.2797254168012118,1.5769040434801818,1.4140373835170206,1.2386932734064768,1.3136375054262739,1.4846567804044895,1.2960142902035579,1.114564697581059,1.3893626720523216,1.4010909340707347,1.099204699471503,1.3003761161581457,1.5156973304907315,1.3474690063964783,1.2118558344032033,1.3769124201353158,1.1657297776282918,1.2379182848823884,1.1620180494322505,1.1710600251000627,1.110982722968737,0.9534907243102189,0.9866452767575647,0.9424886399432525,0.8853333960941366,0.7949885664437542,0.8764784107292041,0.9057415556647146,0.8061135870699476,0.7503031369049428,0.8750138871231484,1.1945368717076743,0.9251303513694434,0.9169646620547018,1.0106077226066355,1.2212463156595168,1.268856296704061,1.0513039159011435,0.8648864083590158,0.8041298956204045,1.1835776215847529,1.0203889258921555,1.0547754060231103,0.9838185559113628,0.759345359973928,0.6327718043171926,0.5715066015899314,0.6302086772039462,0.6341812762418089,0.6512044325147708,0.7898491658174124,1.5852959150760755,0.6168034950060902,0.7122705222543874,0.786824913859683,0.9558138374935518,0.6150854999924114,0.9061712999483693,0.9544851894031525,1.4918344606926897,2.248664407631176,3.0352873657730854],[1.448726415717567,1.3374841694603468,1.2795291662447272,1.1421457814553153,1.0972800382910537,1.031240428491301,0.8699345015745941,0.9070383254840978,0.7327614348819158,0.6391043727418688,0.6060558461084357,0.7173862730014701,0.6721118544154919,0.5823428216750686,0.7515668341029169,0.6992124759427563,0.6928792495451668,0.7059022457067915,0.6914720175645733,0.7573429014266079,0.7270825557696646,0.755942921031001,0.8099357920640097,0.8123775561455034,0.6900586611573577,0.6862690995126759,0.6840666237793618,0.6619475179014338,0.7303521690329833,0.7330642083983174,0.8093958762654037,0.8727008724654729,0.9435460245261695,0.946457117572937,0.844154225234853,0.7887593535220462,0.8309866611027518,0.7590880206908855,0.7222770347631311,0.7650280451963932,0.9864266883782351,0.7438268999946067,0.7187874056815767,0.7981929399221898,1.3574015341495231,2.084148446846683,1.921135960075428,0.9769948761721206,1.2059048716309588,1.570659036472513,1.44083568149538,2.408997225896374,1.8196441287664233,1.2609554400533565,2.035212678468375,1.3291922987749396,1.9768123224032246,0.9463615779557787,1.3876410490044213,1.0633283375404645,1.003415589693769,0.964865943368979,0.8879045952139724,1.0455097650931735,0.7926640589983477,0.762354151581711,0.9483805667783298,0.862575485509316,0.9256643667118926,0.8511185558588633,1.1489443745987589,1.6451468909323745,1.1688720203682594,1.1810604094354304,0.8948059827633044,1.3899326335037698,0.8668015651953868,0.9474084557766893,0.8714479826030793,0.9038269686015153,0.9204423535047258,0.8938630598431279,1.2439520773462576,0.9196425599829438,0.8649282291323944,0.8593796853343737,0.8076085033741455,0.9027001023893625,0.7903407711792754,0.9304871581218982,0.8818172940071969,1.0321614796392868,1.003843210933133,0.9604198895689414,0.8811010033715738,0.9691629341471415,0.93301794837197,0.9014494106276478,0.9035970475295464,1.1078040103718314,0.9390731160408151,1.10295608102393,0.9660057026294555,1.1211794533243262,1.1222204030089311,1.0643757246739713,1.3298544983776341,1.1707944956492944,1.1685322582113935,1.1574455856876584,1.0877767916917462,0.9564936578768616,0.8402619550621581,0.8203282369330291,0.7085431016319822,0.6766840483012614,0.6513028517096431,0.5910614640782744,0.6162444848057099,0.6436530413078192,0.5763324667051444,0.5803128925885614,0.632500279935232,0.6867415850953376,0.7747624070247404,0.8503403804087861,0.9892902242381665,1.009563121425271,1.0417987489177236,1.0946906325514305,1.105869361050442,1.1771750256100053,1.0808984806915403,1.2030448959236786,0.9923592401059053,0.9412863478053468,1.3180715044987958,0.8786807782047256,1.3115781690600004,0.8090696467214907,0.7765341522407125,0.7258687508371277,0.7190743986416996,0.7114760414879985,0.695673461928623,0.7001287933566387,0.6963361061694474,0.7619207061359347,0.8570917101528159,0.8574591739078855,0.9818283564212318,0.9519823754767262,1.3090664737975666,1.6320850173311257,1.1330724340939078,1.0328889962807835,0.8957468030534187,1.0090268127030617,0.892144067957417,0.9940591917974719,0.8800210790766431,0.798021494736069,0.758488483761738,0.7817239540608694,0.8686710962833917,0.8957224923294187,0.998910719611198,1.104957426431998,1.4064266962311178,1.285580721454451,1.1152432137692605,0.903379061949123,0.8958668759336262,0.8822322164352633,0.8846892423204282,0.9494206076787456,0.9115379369973519,1.1675286501737416,0.9407119735818774,1.0169349136966128,0.9562701564803954,0.9803562480060471,1.0378237119766853,1.038149362033261,1.0304724177459004,0.9363125987355496,0.9344849491630352,1.0426858664226895,1.6159186442787719,1.1726348572269538,1.1313904312609722,1.622958023068657,1.11774409715261,1.2387891675571694,1.1167150057903639,1.1910227769365567,1.108453884268955,1.1369838548047737,1.2183507318431146,1.1931168285609626,1.2726921564112874,1.240784833062542,1.1987539382061,1.284912298446061,1.3658379766936621,1.3235160261638583,1.3479513577017583,1.4237517173255076,1.4836316930577438,1.4148568092158091,1.497886159327838,1.5695812572601922,1.5217244444219582,1.721448899211774,1.6876264320637095,1.6526134965869872,1.75025425852517,1.7174510015941375,1.564387571356633,1.6482133935658212,1.7089349181523863,2.560966518125895,2.0047503750474465,2.3750535366048826,1.6490542931309227,1.6542043182553658,1.5739905015132176,1.5501682082209378,1.54659456113246,1.4228081013875138,1.4093821423474469,1.3981817285151115,1.4445796594324654,1.3684906423835403,1.5321686941321884,1.3709129926667516,1.4081857126564952,1.3000698809509643,1.2957218718747776,1.235233653961689,1.352295637559291,1.4634459129497304,1.5565682619494752,1.8150868701351257,1.6524397902298344,1.5291043244339797,1.6096676475773974,1.726749383316021,1.5323619889110176,1.4768339387867269,1.6763245865938847,1.6564522435284637,1.4803791702051832,1.6520733283061773,1.8012345545752901,1.6855044780431612,1.6498228961000492,1.7762817347662827,1.6487680551942199,1.6557738973955607,1.5640559350459098,1.6040744417470247,1.631668468445467,1.5141330745086012,1.5183218678646746,1.5248116513270829,1.5157823384247227,1.425179787938431,1.4850927199378021,1.574231567632187,1.4763646160772281,1.3800638537519687,1.5431350613907748,1.6681357191290132,1.5527529272866742,1.5505428750211552,1.6330183249630035,1.7599227623132967,1.843335856403966,1.6745023194616266,1.5499244900584899,1.517926929222472,1.7654319685823885,1.641642396112815,1.6483929912519744,1.5434969259997098,1.4484947114577995,1.2655372792226087,1.2020773317853948,1.116438108678773,1.1623344784544287,1.1985373959528998,1.3211293585997044,1.9631382250407239,1.174396696939152,1.3043425734651963,1.3189764171043783,1.3394613452133408,1.2177484806774974,1.5187803109804663,1.490346054247646,1.9016149685187798,2.3428357451709183,3.1071212079507187],[1.4129876029490092,1.3093894819502776,1.244448865832248,1.0559397728562043,1.0064973446495356,0.9187172914036164,0.7637821424493678,0.8218360225201583,0.6767123004995793,0.6376239300981547,0.6924256481633375,0.8167704275651764,0.7396567046267088,0.6607111916729325,0.8984946890067982,0.8488743426925083,0.7613003399373746,0.8226552491439093,0.7747975476424533,0.8510307022355621,0.835798684394039,0.8815722891122224,0.8871959388888578,0.8545357693789145,0.7822274620763777,0.7574441445750926,0.7344175850788821,0.7148380793312353,0.8184267324699318,0.8506069744375447,0.9744014734700273,1.0285240751843998,1.124475235006929,1.142049082051421,1.001523428879047,0.9348449051921899,0.9484912389426111,0.8474331523771412,0.7809152299777327,0.8069196512067838,1.0610987737776159,0.824428983527941,0.8309923426983249,0.859859119519314,1.3230958875994236,2.0381587607322196,1.8853638982590373,1.0391699245419947,1.2322181786022783,1.5826399390359756,1.4993839764180634,2.463647017093467,1.8689124114220734,1.2870093282399935,2.065717177121049,1.441946722304538,2.0870309069220605,1.0667421841305809,1.4914823610930192,1.1263911581918142,1.0690872432014336,1.1103938763917305,1.0583935000467557,1.1595282675818335,0.9210462782209378,0.9119778220104466,1.0565882163311655,0.98327309915893,1.0171995040613657,0.9778958862711856,1.2261269356689424,1.6787855676301613,1.2793173601828656,1.2302085630288637,1.0333719833192234,1.5285566449972907,1.0418625118901883,1.13783986550951,1.043607994416945,1.0039771874656795,1.0276116747472819,1.033652629590906,1.3355205641804346,0.9671505670155484,0.8992001518257,0.9325784676776409,0.90861807501669,1.0355508510853195,0.9367201060383655,1.1161872976610523,1.0710455099739984,1.2266115895498175,1.1979331453548017,1.1931541500325618,1.0829837183415805,1.1854862573744007,1.1224517129765206,1.0798941119778287,1.0379342650448606,1.2560056876227261,1.080850146148205,1.1923029407078312,1.0529500320105563,1.1421478369166767,1.1244282514113668,1.0440832200269392,1.339239964849622,1.1335747674295287,1.1139100025320718,1.0890248669960498,1.0115814462325692,0.9002973364777174,0.7711357898080955,0.746615742745967,0.6493122747983266,0.6364490370994412,0.6591950917350963,0.5669501849830111,0.6345135450857591,0.7141697789944574,0.5794198790760811,0.5740547376805415,0.5569113789665271,0.6065683583715606,0.6749871741331138,0.760526667750163,0.8945277659637692,0.9287430145003299,0.9797966990480098,1.0468248103353164,1.0590530647073588,1.151620832168836,1.0468440223191113,1.180248300472848,0.9529788048236107,0.8914587113029012,1.3001078695477322,0.7938836744636936,1.2189868321213682,0.7570945218217341,0.7237465682827117,0.6720878792199788,0.6740079662416504,0.6445495428082122,0.6762776327767556,0.7227584750396447,0.6703391454011685,0.7674398017087308,0.8341977219928361,0.8311817024690389,0.9507236043863697,0.9326484219435007,1.3081341033343743,1.5316297699123658,1.2131106838792163,1.115895166348166,0.9712040558776419,1.0307670846211139,0.9363840091652347,0.993499491918771,0.8550546008775722,0.8243061082872474,0.7219955470510204,0.7745178288246953,0.850396917391574,0.8350799649187123,0.9582154794530613,1.093604713842774,1.385180223223816,1.2530665052368584,1.0793584028160996,0.8467719359439138,0.8786534414827304,0.8739542172934393,0.9070044298336751,0.9674657255714959,0.9542420147092927,1.1847273839964538,0.9727220695674523,1.0755229983875918,0.9365245277662484,0.9597636410736782,1.0205936048891293,1.0304704110141611,1.0073014086847105,0.9540935432126161,0.9698260222776491,1.080457623125934,1.643716311084405,1.1945656583990127,1.0850022876140466,1.5241441790033927,1.0902879940867127,1.1766044642210505,1.0923571226000355,1.1626085515907987,1.0906276513614865,1.0905610024509103,1.1757087898733254,1.1479894653908975,1.2356379404747042,1.193609296631517,1.1487723709473483,1.2616441118951567,1.3408058981481232,1.2848858246842318,1.335906990524268,1.4342931024000383,1.4699514393519888,1.4183849823199133,1.5455150712780146,1.6257514073576504,1.5515435757168823,1.788885956263904,1.7977437171216966,1.753676827310468,1.8436937987937219,1.8146399967202698,1.6364731689160634,1.7187575182883523,1.7766078570275277,2.618437055628881,2.0700104003398545,2.3854389488660335,1.653906380408068,1.6444243334896484,1.5516432231465427,1.538470426645632,1.5611229239967053,1.4183636697875057,1.391229288206698,1.4046790635333761,1.4518425231573613,1.3570661349867348,1.5178589410766152,1.390394214276822,1.413345391437632,1.2587603654894364,1.2704835442813274,1.1995744095725056,1.3168021499797924,1.428333235572011,1.4990637678755212,1.7765890036288263,1.5904026658742478,1.4772044316214579,1.5601384127833686,1.6654211031387214,1.4623067229984765,1.419171406285696,1.614639093739415,1.5819313176315624,1.4280732135335992,1.6215572173051394,1.757947178691561,1.6525791843627937,1.6568302642921267,1.7921924421154858,1.671184441143552,1.6561160997661766,1.5455629750198168,1.5957096135886024,1.6535517427569684,1.5275044100857438,1.5153651630193778,1.5539036624782137,1.5531692322289874,1.4342359915102454,1.504956140247936,1.6406823045840833,1.526330058872001,1.3990875917760308,1.5950952484798726,1.732586287137895,1.6124074949095373,1.6011724664032352,1.7288519318423634,1.8375543134445425,1.9434585309554606,1.7662258549606462,1.6046638400721596,1.5705190779533207,1.833398599439503,1.6786788642609387,1.688003605980205,1.5537493657397194,1.4442265923819027,1.2302254949394833,1.154713227992425,1.0396507514793774,1.1089784228065107,1.131092336347914,1.2581483063098993,1.842837543142281,1.0924863379860996,1.2482014927398288,1.2495094015360346,1.2630747809597518,1.1221187228315541,1.5102025724983357,1.398007554978969,1.8326002656138751,2.3155225449678527,3.140734609320798],[1.4712909367033506,1.397262969664863,1.401080825481793,1.2343307133890364,1.2584998116929635,1.2178281825188686,1.056083053477968,1.0666305065450188,0.8758202001141487,0.770411298294785,0.6714862812734768,0.7867511397650575,0.799203029147724,0.6428007716808275,0.6847367920378632,0.7021686936731514,0.7598739201346019,0.6851600839207219,0.6554379777106673,0.7547882090984757,0.7155750217938764,0.8249984448919823,0.8054090059956441,0.8523478673788925,0.7973528437731873,0.7335757790734122,0.7558415347830747,0.7453303470788087,0.7796431006611025,0.8198772735394131,0.7235819053455856,0.8703210054166006,0.8515261623354592,0.8124943034215044,0.8093650900218868,0.7790947488789908,0.9064453834859224,0.8452283213898054,0.8358143162703661,0.9296613289261444,1.1015299766829016,0.8059081532911903,0.8074793127170732,0.9593792575559509,1.380842491898476,2.1011227401592407,2.011277306502571,1.1374146425142824,1.3578273207950873,1.6958348014632147,1.6288598105135128,2.602788867508747,1.974042385738372,1.3827460088660066,2.0164188341133875,1.4414770273011832,2.0941600997800784,0.9778696933130675,1.380644961112187,1.0727705479013574,0.9607634566564192,0.8901139702086817,0.82705697290823,0.9314621248800987,0.7636956952018934,0.7545288910622726,0.8970258653587057,0.7694610222040242,0.8546447676333994,0.7368175021013218,1.050703240200684,1.4569153655150984,0.9901172373454175,0.9833760849413956,0.7207202358988499,1.1501804245779745,0.7332400598410665,0.7813462212925317,0.7975844664366202,0.8833649530782357,0.9658354850245764,1.0201509120511592,1.3136251901833347,1.0590389829425468,1.0854467177159672,0.9949399535805333,0.8839806547172904,0.9621429728741493,0.7714319521080591,0.8433920348519861,0.7300053649562386,0.8348727251555893,0.8007373014435214,0.7612889025452235,0.7402084864441496,0.7738491036939311,0.7987848661363981,0.8075534571791564,0.8959216170273948,1.1251186442744003,0.9876365760614016,1.268549435717675,1.10796680957584,1.3453401234348346,1.3602601833175048,1.265113715055008,1.543667044138258,1.399458210968341,1.3892285592969715,1.3699441828396406,1.3070739687367243,1.1928296239306457,1.0314910986673202,0.9926668581066671,0.8363178651593586,0.838714887932763,0.7656277603404599,0.7568876037314716,0.6842009100991888,0.6785039434456019,0.6652007201490197,0.6862031292021783,0.7390763410159754,0.8367171593226251,0.926150430732034,1.0182036907558858,1.1816114961761144,1.2410858903698245,1.2981851407704899,1.3808977255331616,1.367298844502333,1.456167449570452,1.3472206189677802,1.4392171621307552,1.2570577478667917,1.174150998927597,1.3370006488164299,1.0601807621420072,1.4841437299313183,1.0144147603882288,0.9695038311263363,0.8825424811180337,0.8266817040060266,0.8744068896861366,0.8627254846928589,0.8288270186543801,0.8587077619215415,0.9138503895302456,1.038180991856479,1.0325358120615227,1.1757243885803574,1.109590522791737,1.4119276247673247,1.6654992549775116,1.2283868644721332,1.12934651232532,1.0353948919661167,1.1932539703359746,1.0511443371348506,1.2175642702517429,1.0916338430785282,0.9734055226880123,0.9494989292944962,0.9877211134813053,1.1182698320757145,1.1018013768989892,1.2791600348180554,1.4034710718939456,1.6694988555477037,1.5238591336664067,1.3731897640332464,1.119950396178237,1.1529879259882216,1.1267124819111325,1.1013484823410078,1.146012342955012,1.0587206724672593,1.3121409745474226,1.1196042793374297,1.2253698265891038,1.1226793709618852,1.2236584940841497,1.3121017760620384,1.3246258759341112,1.322377549346605,1.187834754280624,1.1331355510615784,1.2164451925545028,1.7170818848417566,1.3347525119731842,1.4217490250029834,1.9003270144136766,1.3886906826563212,1.51473692004721,1.3508289563044122,1.3964513552335092,1.2694577024780649,1.3628300231444348,1.4263902357651062,1.4318734666536383,1.4639877738548435,1.4484757163539668,1.424012909272642,1.4627913511688986,1.5104390421068505,1.4939619479371569,1.490029482633741,1.5262917656356425,1.5820629256907752,1.5244491201262256,1.5549544315912298,1.5936769908147659,1.5742433892250698,1.7326459288278067,1.642582185058564,1.6420152776435328,1.7121922622708567,1.68389552776967,1.5835546975624988,1.633995787678631,1.6812887310760092,2.42061297140032,1.9770725153876776,2.452446131415491,1.7103164205098795,1.7165037697595151,1.6499897949132194,1.6297722060578068,1.6031301463136198,1.5402730318538793,1.5443789771548981,1.534423609383529,1.5666088598074015,1.5383181032267148,1.6872635490279446,1.5323093969101786,1.5472144481344856,1.450406281949634,1.4835524382305123,1.4346059467689676,1.5255231617905483,1.613126457394093,1.6864151131748246,1.8979578466641216,1.7618471260626578,1.6664034829607628,1.6851699359889336,1.816186760126992,1.6515203304811952,1.6101196284042063,1.7682844619754834,1.7667430188223416,1.6009251655211887,1.7169007459851,1.8583223768691486,1.7713799425746015,1.6813556166716606,1.7713389103876231,1.6677225867080383,1.6971349098959316,1.6477234520757098,1.671607256030359,1.6597252146062809,1.5899758049097596,1.617702566050871,1.5759502657238624,1.5602431105672498,1.532509552207816,1.563277211861985,1.6290551461089373,1.5511058224402683,1.4873302691297132,1.6212902805970097,1.6851814775204097,1.6074417274066013,1.6026352657005696,1.6657791804880981,1.772826435063836,1.8339307460290726,1.6877420385134518,1.594613318725108,1.5889921568422476,1.7986249025486791,1.713268809365794,1.7107057140740072,1.6509716041069704,1.5861300181120765,1.4332226294101125,1.4219341748353616,1.3046950678346965,1.349610267363524,1.4340967722799176,1.5384649767171037,2.1885787964986902,1.4044567113513973,1.484135051367532,1.5235288361117194,1.5670186096033467,1.396795676824432,1.6396278387202927,1.6302182227778517,2.034427847609358,2.506817385794352,3.148226364900758],[0.7139025999975046,0.5876615610149905,0.6656608442915347,0.5287602521094898,0.6152807811813156,0.6233877722795357,0.5617068810424511,0.681986762946493,0.5805357888677124,0.5354143793597322,0.5465208315310016,0.6769267578686158,0.6269558454743457,0.5161771977508247,0.667808624669873,0.6451757282917542,0.6449937230585702,0.6295604287502573,0.604328606361561,0.6717712705487431,0.655392311783399,0.7390274825530614,0.7206050151662812,0.7295282283472024,0.6699851724178867,0.6266928208798401,0.5933960799369333,0.5767469107080265,0.6662505479566261,0.6916732648376072,0.7071070548298771,0.8043485440494177,0.8263255256147384,0.8019559197892527,0.7506403723536548,0.708743781403957,0.7695907289309192,0.6980844325625982,0.6387922104512374,0.6856902899034887,0.9261982050149862,0.6676916624978819,0.6614998263000478,0.775278110572771,1.2817507069329142,2.0221633916314428,1.9050955267244145,0.9369632401314621,1.1380046263564412,1.5010208727224257,1.4024309162115371,2.3734620631474193,1.7798775993886689,1.1773272109570778,2.005254799165871,1.3289919691884726,1.9887783904421443,0.8952874102981792,1.3602021840214797,0.9897635547495505,0.8942045690024286,0.8563801340251012,0.7967823624124952,0.8880141554584439,0.7026403284036984,0.6862586700598785,0.8660975051356109,0.746013656284562,0.8248417609896675,0.7243129588756401,1.0337046110160324,1.4509135447105106,0.9856507736178863,0.9523917322102787,0.7317075714299851,1.160691293882262,0.7231460782141087,0.7786202235451694,0.7603769784308967,0.8013443321347755,0.8518666490964214,0.842863912103218,1.1825585160839798,0.7995320349541383,0.808139301351521,0.7873071133625968,0.7446327598073443,0.8448050212178546,0.7030334985091001,0.8166855423473636,0.729924521790467,0.843992956222509,0.8167786510112338,0.7765449602871843,0.7519706102192774,0.7943850730924945,0.821324635207932,0.7940333035849851,0.8364251952667972,1.0379717277114393,0.864736399507605,1.0404215054193255,0.8876171823673109,1.0136401994644244,0.9703349079358726,0.8623412697407127,1.1332332249871593,0.8707918042301261,0.8342071969402851,0.8944341028853084,0.7702290252538099,0.7153855808139074,0.6052513100671767,0.5968859905520927,0.5606488842183222,0.5329340689091667,0.5459708154206703,0.4752611874821012,0.5509266421781458,0.596219713861918,0.5146322500684787,0.5016624171611453,0.4788526267228603,0.49475276378280647,0.5382954426943853,0.5436551916140372,0.6515080431402865,0.6912548899969228,0.6967403405949264,0.846715439395766,0.7411220089805562,0.8550326333369488,0.7652886400384166,0.9697845778262244,0.7218525910829535,0.6926551715603536,1.1301079001313774,0.5796736006520629,1.1215228820291046,0.6179816847970906,0.5955788361943953,0.5736338240251075,0.5907556789919691,0.5658267025203142,0.5830139800338531,0.6082039090845041,0.5805591661106292,0.6565590600733111,0.7109078012425166,0.7171923864361097,0.8069237557831626,0.8185623754667385,1.189389643602253,1.5896790425808582,1.130886574243098,0.9545470778337588,0.8360536486503314,0.9073122429902852,0.8154635591903867,0.8674004769971613,0.7136488572959365,0.6975691778802556,0.5897518098099164,0.661022449766387,0.7154641203512412,0.6848993755020155,0.777417746515538,0.9104639658957613,1.2012704735240545,1.0879666892943642,0.89331194983181,0.6665762566218622,0.7042791981128588,0.7265698224605305,0.7638545999101201,0.8285284659400574,0.8185021912370245,1.0709814824778618,0.8386622781894606,0.914849799564851,0.8056680468345784,0.7954087484330997,0.8299743930575195,0.8304003385926985,0.8283178930063714,0.7952697289149068,0.8418428748627977,0.9166123574985916,1.5492664346463663,1.0126296425652803,0.9565835277599972,1.514023724251163,0.9177963165672869,0.986722165437089,0.7991815306196252,0.7933264213967186,0.7435672259493722,0.6895919657521837,0.7074271877889634,0.7582297531341395,0.7696738072996931,0.8007823101923054,0.7275944572172488,0.717049519528439,0.8339582874688555,0.8004917919468918,0.744790821902657,0.80725695275422,0.9439861385812903,0.8044652749007335,0.8467985457226637,0.9188292286503075,0.9082737317981205,1.107392621913995,1.0116542613328068,0.988988482588713,1.1299294996971183,1.0369803299031384,0.8955859165241252,1.0088994884500726,1.0906778862470856,2.320969144266992,1.367725145958094,1.874875854448042,1.1107887821163869,1.1769513078589806,1.1723888703050684,1.1284108839388127,1.0494011657345805,0.9009070526903499,0.9745808512960714,0.9211776075683813,0.947702044586399,0.8718270115260015,1.1439563669544421,0.8174351142665319,0.8524479304520921,0.8270058984997256,0.7384423419522463,0.8237804670217124,0.9518545490621693,1.074905148469632,1.253673633733734,1.5087447299197514,1.370292629802616,1.2171822607757716,1.2373680067387836,1.4275196109120758,1.2473412647324549,1.0842830783805892,1.32614774325719,1.3426406888366076,1.0632829186773207,1.2223063070509999,1.428197293862855,1.2702921850745303,1.1483217628976732,1.2877018166761833,1.1037695758350934,1.1610641089773033,1.1001370009088407,1.1177426088733393,1.0631179826043087,0.9391001884957241,0.9867256155936033,0.9189289740916428,0.8715765899514785,0.8214575439435272,0.8815278934072136,0.9123018641755319,0.822205357566787,0.7621119818217851,0.8912835954543388,1.1060038443332887,0.9175377326200342,0.9153141169280209,0.9906494468090021,1.2148056826978813,1.2263777521716357,1.052092714815404,0.9025918624797395,0.8860523059236486,1.212070594109106,1.0596338396570133,1.0612237936810667,1.0183796658002695,0.8560942981704326,0.7243362180639445,0.7053424198366691,0.678943267018039,0.6730649480722345,0.7831635933787768,0.8983031083293178,1.753594399819001,0.7445768782162634,0.7882062477949456,0.8805406563477529,1.0482882960159965,0.6968017240482153,0.95129697167107,1.0456214146399307,1.5527631704958864,2.2662011137176097,2.915825948862471],[0.6251562897012415,0.4363298237882169,0.5045683634655801,0.37769120753858515,0.4400071564894556,0.45824654499269113,0.3655612491016656,0.49854007583430265,0.3984463921688513,0.3757855762392148,0.39127965272401943,0.5030855543639715,0.4331101811030234,0.37642704646177716,0.5194265393551094,0.483536513202246,0.49263849268240545,0.48875787806333604,0.49675214109117927,0.5362685748789634,0.5122304430513633,0.5786484506311128,0.6216725771082319,0.6685482827083918,0.548387645607654,0.5118496199163822,0.45471301026677274,0.4303659061148927,0.48949517698312706,0.4913753391773167,0.5392487813192429,0.6126647866258094,0.6538913357824306,0.6338580490191584,0.55808491515442,0.5270282679821457,0.5541090624752633,0.49383846729843095,0.4386055044278956,0.44763478491774233,0.7488193366426443,0.5162688841402242,0.48366430981748487,0.57444216220285,1.413989475136384,2.172795076175587,2.1083432379651956,0.78484252583843,1.010956070318631,1.4810843925552835,1.0935980374428427,2.0605195967001007,1.4360135865687944,0.8838813260789474,2.0268084936207766,1.0974513778024584,1.7146059094618018,0.8248174141302278,1.2915814716759475,0.8523359807635015,0.8401697820701044,0.7413873676183923,0.648151617025024,0.8025612806365052,0.5580852866734102,0.5474715984093455,0.7869768154383462,0.6259049166873513,0.750295851422732,0.6425463694853809,0.9845231761656404,1.3564311228901962,0.8982401376384342,0.8994508721987144,0.6022460091929053,1.1309067837171793,0.5791435557878559,0.606261224917582,0.5743956967191904,0.5944977964727592,0.6377127331570279,0.6334907245678496,0.9888214120397933,0.5516623558247029,0.5878259746312786,0.5613693178493173,0.5437351847050982,0.6610592472443791,0.5113772382979694,0.6263760223765399,0.5684542428372854,0.7033172251881027,0.6632270760427014,0.6234329286016875,0.5957919281573657,0.6578188865608549,0.6903979551311455,0.6253950932514911,0.6525021141638169,0.8996242286960215,0.6561164129696446,0.8323134014652753,0.6549217181762879,0.7654667887900811,0.7172027793194748,0.6707351413792053,0.9228884648921268,0.6465202994961927,0.6450472214894896,0.728927388680279,0.5769107205333187,0.467664102925194,0.3913141434317314,0.40448422250727906,0.39288249398557357,0.3643096001736038,0.4206861900581199,0.34589989801793236,0.4538974647926872,0.489446906376231,0.40592217523529933,0.3749001198116004,0.3724475144686768,0.3318207689533841,0.3627054945752182,0.3637311940641173,0.4518841888242211,0.486095015685389,0.47102142794059476,0.61352887629906,0.5221193012092891,0.619038306448902,0.5365246771691352,0.7446620285043211,0.5308546230706839,0.5571699801777468,1.0945781247424893,0.45887747568622045,1.0503872317768959,0.4679468450739982,0.44861183376347236,0.48244396985793697,0.48130842487093994,0.40445427864229255,0.3929536255373539,0.42744069359619974,0.3892924054539679,0.46174093753826695,0.4729313792159093,0.5097497175696449,0.5806949411036972,0.6146894994677503,1.0032076010633026,1.563979877588896,1.0747011687733894,0.767595112476897,0.6201784468654823,0.6686518242534168,0.5807090117167923,0.638367045763123,0.48772876949777916,0.4673872272067087,0.39150930582991433,0.4102961543824767,0.48127720358920983,0.5599660211051741,0.6297598291545753,0.8291102903954584,1.1481853304508163,1.0187014042938012,0.7879553388401539,0.5301152283646733,0.49827542568410566,0.5007720818779208,0.515899367285925,0.5703679088594801,0.5785398087406332,0.8302594095017513,0.5766226982448771,0.6624619748439441,0.6754597012676655,0.545016785005826,0.5571576321609133,0.5650860692999761,0.5754985339753049,0.5900265824032245,0.6918416832067057,0.7675816182256082,1.4917328266280654,0.89452256354707,0.84902077026186,1.4677631450988142,0.8297260214219142,0.8541285196590537,0.6258783150653349,0.5808427091373093,0.6208258890088928,0.4745440570213059,0.48653374034549907,0.5387582915077613,0.5523554809744287,0.5976353085453393,0.5072908429238006,0.5174481260285687,0.6496247396719069,0.6267239921785023,0.5762345088240897,0.6452350769595068,0.8117901195707712,0.6561083525237272,0.6953768378655877,0.7957578656899488,0.8097633454183586,0.9283855498085455,0.870795813002397,0.8651632303769446,1.0584190739270403,0.9188543706199664,0.7389817082022352,0.8736940922139619,0.933070610541893,2.156678425770864,1.197679704300284,1.7279199749331213,0.9105352961568702,0.9549297312725903,0.9800040150230267,0.9329451199735501,0.8656716771875088,0.7077195879066159,0.7916970337703271,0.7432481392561278,0.8261106907214757,0.6936646947615809,0.968407546212414,0.6387976686620038,0.6502610151777021,0.7182586515998901,0.5342689693386459,0.6308715364360747,0.7304540870105393,0.8883203141158252,1.0845282366447715,1.3496211835104843,1.200524122652317,1.046856174473536,1.0910647770599557,1.26970501176446,1.1166808550724983,0.9403283674962882,1.20488558644536,1.2524426107180366,0.9594039608554078,1.1074184501104385,1.3403530601987135,1.2226942045704134,1.056000960625342,1.1725630135423863,0.9754661448761074,1.0231045248397834,0.9517856770523148,0.9488460505845469,0.899677748091445,0.7689570539334329,0.7976800882667747,0.7369610538852955,0.7009908538285632,0.6334568639058444,0.6985163593472854,0.7595249603690258,0.6657320974117872,0.5815995942064566,0.7210677358821587,1.016415340365603,0.8021652387210552,0.8309265549233457,0.9224620226908233,1.1825229481960062,1.165912569039035,0.9708488144396907,0.777924599578347,0.7320416292489541,1.1192641024547494,0.9680421500966624,0.9899724628455848,0.9447994388093955,0.7200305921974303,0.5543955030621851,0.47336312231303973,0.4607614753925281,0.4989745287485987,0.5510489818384604,0.6823576838693143,1.6437395650999214,0.537096627501561,0.5886182374152321,0.6900950858004643,0.9275866099856734,0.5389646349593288,0.7001024839116341,0.8748470112440725,1.3990180920365538,2.302556656518569,2.8530089302647266],[0.5293252053409775,0.3261204869650402,0.42316616327272144,0.32041408537122473,0.34270377038128375,0.35534574072395897,0.2682426376112264,0.3916306671896677,0.3140578569942838,0.30861766616141867,0.3272851857870054,0.43958724864313997,0.36433529302841317,0.33195075520283507,0.4742237607704295,0.43087579843966506,0.4525583646801068,0.45808754804341917,0.46953129687518824,0.5080422444358758,0.4845771509961054,0.563988369406438,0.6061560577439504,0.6632753453160556,0.5275216517593176,0.4953555493335053,0.43545099188391856,0.4018067980718912,0.44550281101934214,0.43429201788987004,0.4874702419271019,0.5384347595475139,0.581593289284025,0.560572650332026,0.48451994858089215,0.46637099717375474,0.4739643702928013,0.4464399514147756,0.404855900781163,0.4003093959888955,0.7042005123836822,0.4971798398314073,0.44660301872552244,0.5494892137931663,1.432544240613839,2.182733572946953,2.118836787072439,0.7442418731998329,0.958029023995182,1.4406726010358128,0.9933973647146859,1.9452328075989707,1.3298848824626393,0.8316111069936926,2.0439915729292357,1.0618580252783856,1.6406576228136356,0.8386257196782748,1.2784221454184574,0.8129307696044664,0.8153483038389054,0.6919882879178064,0.5888385358988192,0.762676606426694,0.5180728783825008,0.49895849860494407,0.7573211064637863,0.5931820754128491,0.721199696852943,0.6092793607276015,0.9555267389822533,1.3189990672605505,0.8602957766483952,0.8642724756716663,0.5637671886824764,1.101471534911905,0.5248875631492516,0.5458999013359663,0.5080850284674632,0.5222293585748236,0.5633457246541617,0.5580146265115767,0.9539428553314934,0.49608544512755637,0.5443303825776717,0.48454346313191615,0.4780259572780018,0.5981831857276914,0.4559272487503256,0.5616340533227306,0.5135625875042205,0.6560025092221091,0.6063042442567889,0.5541567957125386,0.5328282132584895,0.5788543928757205,0.6231235109941624,0.5539892158661406,0.5692156093769085,0.8149667293462904,0.5589719176954808,0.7283633918854022,0.5432567543414256,0.6597085181328308,0.614217024697057,0.5519554876864371,0.8080448201751382,0.5357263157096164,0.5462699853449159,0.6477005706817447,0.4554106107997661,0.3687996848654438,0.3057068274587435,0.3550897355199745,0.34287688269281263,0.34078059278719114,0.40453407303144945,0.3332110114851475,0.4345770919231725,0.4705805013025784,0.39416120480411304,0.3618970516505152,0.36914497667131013,0.31058509777399235,0.3278741960530261,0.3084214540509604,0.3638668952978223,0.37380456564073306,0.34675018127445745,0.5245214657423998,0.4348312462550934,0.5176076270012263,0.4383345313641687,0.6668884943862209,0.4572188763822951,0.4859448506110142,1.0484951785573025,0.39256179582588124,1.0692525967729023,0.4219122087038305,0.4223120383997171,0.4544177231224313,0.46830351983503005,0.37093927153911194,0.3547523716237961,0.38493280902820837,0.33788692024549344,0.3954660862951814,0.39107599579792524,0.43512282352057796,0.48953875004445846,0.5443550999397613,0.9219892115339827,1.6003078570972125,1.0705582102884872,0.6807632268142969,0.5195285719924373,0.5711240987312859,0.4845620921555638,0.547432396653989,0.40776485071346197,0.3985393626261855,0.3353035839057891,0.3446093678281676,0.4085402684839252,0.5298722482548861,0.5522924366984411,0.7649080570520722,1.0785259077956142,0.9828751682582281,0.7275364507996565,0.4851533508755915,0.4131055624360007,0.4069047106300566,0.4119677054618606,0.48216583458276374,0.4878516649977159,0.7402165034120917,0.490885001783981,0.5838300244602327,0.6332549250368207,0.4460538759831069,0.4559220248598263,0.45087092782632915,0.45955878560304075,0.5052699984864714,0.6341574908613035,0.7066684728794212,1.4319769190679073,0.807138251835081,0.8059543509870166,1.4923744125753353,0.8099743566616496,0.8059623719750442,0.5724641535063605,0.5020819988015965,0.6074694263739109,0.39490421732213427,0.39365209457671707,0.4495042976317678,0.4442970240080995,0.49177095632931167,0.3991079816277352,0.4223064122242005,0.5524128296805633,0.5445688620332174,0.5415290751645717,0.5788821747158339,0.7383293301554652,0.6144481029500003,0.6511908722489367,0.7259262733891324,0.7626468042104539,0.9111009661878479,0.8242289747130117,0.822604790210712,1.005772671478341,0.8708829057464116,0.6779047945808997,0.7929250955770241,0.835068349345689,2.115057221254374,1.0804050231568194,1.6190225980047575,0.8093982967022896,0.8649806570300619,0.9072676524437638,0.8553473944037544,0.7863104268259193,0.595711683950551,0.682279864637312,0.6328802163202847,0.6991942702741699,0.5588562839065491,0.902183694199243,0.537346148566067,0.6194266831688762,0.6917005389159162,0.42855784240146344,0.541865174317835,0.6587587358784988,0.7981587971806041,1.0250397781402771,1.2278381110382013,1.122009440009994,0.9761311682678666,0.9809022786460909,1.1729473363361789,1.0460383776182416,0.851156513459522,1.1018102148888493,1.1643356030338716,0.8914092785350276,1.012367969291749,1.2437087748000344,1.148933256329606,0.9819704373027703,1.0709034131495578,0.8824381976672676,0.9105873156920832,0.8317614440891227,0.8271796318788233,0.7948704921337505,0.6826154732597106,0.689078034739372,0.6373647919582366,0.6133382667967058,0.5455550866742136,0.594287471763167,0.691050819845466,0.6192821276328256,0.5398654678785153,0.6252297918880266,0.9669446090566204,0.7694810925328232,0.7832793104991006,0.8673056393929441,1.1784838107326876,1.078449678244265,0.9116886891551866,0.7419276011192316,0.6723035053498512,1.0429941222788803,0.8978261394341451,0.9252972302083743,0.9230350167120069,0.6634323344615544,0.4873277627087545,0.36958083934631253,0.4027472366467647,0.4115127460759924,0.43851243019721436,0.5937380845973864,1.6465074667405615,0.4206992227822581,0.5296132317819868,0.6255364043397639,0.8061318082078065,0.5239848992564611,0.6425696256902271,0.9052805566692708,1.352344552741414,2.2479636567170083,2.8209769304295613],[0.5566506517723466,0.3621192374290038,0.4357056763942569,0.370848924520336,0.37804966409994284,0.3540692459322885,0.26835099503205573,0.37742634608751874,0.31285847874918843,0.29993257956085395,0.32499037999579433,0.4263265711713453,0.3489420288352672,0.34000841554199657,0.48697621140898323,0.43578000901283426,0.45163834637802525,0.49201992141183126,0.5355931698109686,0.5476129898079432,0.5393173069788392,0.5959489862136494,0.6576880699046266,0.746839527434949,0.5761462363977311,0.5677084823200305,0.4969802867378728,0.44159850109464277,0.4756843702318569,0.4562941481442189,0.5045907737413929,0.5334321971935639,0.5852672781717941,0.5648037446673754,0.4833640303519533,0.47952819489874865,0.4769235308852987,0.4812343801814783,0.43252215912568565,0.41327117930303364,0.6985857787225572,0.546369063265508,0.48813727123564654,0.6147222752680433,1.6039975804318891,2.3267518314229196,2.260553402054573,0.8016979519714211,0.9745693041534395,1.4803092342821367,0.9336136422983639,1.8050733373464636,1.2272029550956711,0.8482867921072744,1.958480408575431,1.0685212247024711,1.6006706729384004,0.8709554243923211,1.2408931438432986,0.8532247723209629,0.866842193665265,0.6912886647479051,0.6175309002196636,0.847826650250999,0.5697286681565595,0.5395713387036213,0.7932117437644457,0.6136544136695001,0.755450419679845,0.6400063896119704,0.9707792370770838,1.3481900107367069,0.8755247138319611,0.9393493776697472,0.5987652274226763,1.1911261722119686,0.5520059312627386,0.5589690790874418,0.5092344672487278,0.5368202621932924,0.5526435815914252,0.5404510576473454,1.0068182401717942,0.5235345539150495,0.5670334247767971,0.4870988243112907,0.4914851089993031,0.5958617967751408,0.4818290995966864,0.5583911382032292,0.5403415903520431,0.7029424914307009,0.6259414990831217,0.5687284683319035,0.5459279906937486,0.5881276894520616,0.6082805248201487,0.5540943410208885,0.5562209890952794,0.8317281100908718,0.5410238762247223,0.7032751047664546,0.5222582342811738,0.6271396900127264,0.589361889027633,0.5441670230856075,0.7514993927972766,0.5213245349302106,0.5310222438764373,0.6394417375525626,0.4306499622275564,0.3556816049058909,0.30786530652196875,0.36325758791548857,0.3695625702380459,0.34917609785302245,0.41724787159029786,0.36906041183711,0.49329593911873404,0.49073763605230586,0.4320429479114256,0.3753412067549547,0.39047959000527954,0.31804037095199006,0.33343596312031265,0.31382665417741284,0.376456262051183,0.3504028843376345,0.31848423768022244,0.4896573388827937,0.4283670908926413,0.47523066850572315,0.4175915888519365,0.6413781867087933,0.44701633477086594,0.4861394043296633,1.0511023389673373,0.4235880520530962,1.1066218645458095,0.43078438103530753,0.4413628470657936,0.5306777808411437,0.5389665193725843,0.3990541327310759,0.38015068707483596,0.4084747744540445,0.34506800821854694,0.4010953166039734,0.38737899742992316,0.4246494289060545,0.4918807021945666,0.5700023143747214,0.9338012304505006,1.7009988911025375,1.1673497039121774,0.6986580660592893,0.5002778178528559,0.5628802514240637,0.4776580405718132,0.527578944862099,0.41577226163584713,0.4100738995436802,0.36290563639790746,0.35861570315677915,0.416877455912754,0.5388835511316116,0.5293187190143035,0.6983263397640251,1.0082220263291926,0.9457997535595455,0.6861377804256239,0.490233827867835,0.40542836849177455,0.39823513006512434,0.4129889018457766,0.4865456089584931,0.4939982690931651,0.7109817284795901,0.50084103780632,0.5731153999623405,0.6497703104819972,0.43245501751374266,0.4273301747654737,0.4141744444960604,0.4146800309854157,0.5258745144351883,0.6557346351900617,0.7664753118457355,1.3998979074088393,0.8103985212985124,0.8527523080776522,1.5881947870056168,0.8524391141480011,0.8174140174877169,0.5501833856064398,0.48721483153661144,0.616394928111106,0.4064628360781036,0.3898452379171112,0.4449220372503114,0.4227732366738052,0.4832914809184563,0.39506017245087693,0.4164708312902402,0.5329867336340645,0.5398180856342295,0.5377309597003264,0.5650169798151244,0.7229538238371653,0.6193917010471497,0.6458409854735372,0.7246334271857022,0.7780339521004935,0.8863331856664856,0.8270044173130564,0.8183805225749893,1.000000676963934,0.8445540302683943,0.6712887337798491,0.7822009165891226,0.8115168163500361,2.0637829062838944,1.0455448125896696,1.5857068990759615,0.7750467476734251,0.8283000989089244,0.8720220488923461,0.8261719274796555,0.7432839601303922,0.5531676042161476,0.6382822648648808,0.6061919113314117,0.6772722011194436,0.5120799493386633,0.8695686650192175,0.5273467049188477,0.5868228066952436,0.7505353702486309,0.42004029511631397,0.5461615736429355,0.6174880880924136,0.757828750640991,0.9921208674353902,1.1752772034260373,1.0948456921381835,0.9338625744306652,0.9394800834293517,1.1421465774349087,1.0090834700625197,0.8205710739121828,1.067896260154954,1.1352886960018178,0.8779425644988802,0.9896654682041592,1.2201867906078923,1.1384538685162084,0.9764967991335851,1.0553839924867952,0.8664439286754446,0.8823278633615779,0.796901811419783,0.7862465024483801,0.7648304720449726,0.6507921394610284,0.6536793460784586,0.6043644608633245,0.5920735068593501,0.5212213855069544,0.5620214548382669,0.6702237610162054,0.597558489658827,0.5264555953283506,0.5937510309310854,0.9664164445578307,0.7562115639439717,0.7715737232114315,0.8641445722767319,1.19297611117231,1.039707411613894,0.8752599569766385,0.7176212502701627,0.621467025752592,0.9567907975331423,0.8509707445326052,0.897851231856515,0.9386289332589888,0.6569907999317041,0.48693043431912847,0.36564441503193656,0.4326375024781128,0.4292334942295061,0.423557840756181,0.5871399067250387,1.667200082242434,0.4111053925934878,0.5418952978571208,0.6469610771743802,0.7719938081041875,0.5426441972422767,0.6447965240199275,0.957223759272598,1.3823462732584657,2.2408920089064295,2.989687692179007],[0.5118289972750036,0.36249317014474125,0.427726356390048,0.3494287734611826,0.34247762512808133,0.3160053205311414,0.2546269933200182,0.33296535574804315,0.2969662860218486,0.2958812788675303,0.30409418658881343,0.4024539331757266,0.3251888884521337,0.33817026649881443,0.4711811552861855,0.42847945902709145,0.44026222879528815,0.5052724326604169,0.5757188570477904,0.5635247996095222,0.569309619499768,0.6328789030904268,0.7215327387126671,0.8651029972058709,0.6096789408704981,0.6185591611500735,0.533926263403877,0.4566038542776019,0.47631208209813525,0.4548643791469711,0.5016047381405938,0.4922211758375754,0.5659743838665469,0.5474666963170507,0.4699336260906492,0.4772651544784998,0.44284657146449935,0.4746168792631452,0.44873663563114263,0.42417284510271364,0.7161004387419313,0.5762335031263661,0.5221097051531634,0.7427114287850809,1.8206048254366074,2.519988840930975,2.493402794871343,0.9865984916681625,1.0680898449063738,1.6298087846900469,0.9399243983178244,1.6580819097835737,1.1302699938341592,0.9399886164592344,1.9159813830218766,1.0119411433776968,1.4679173778250245,0.9724902957784906,1.2158106839139178,0.8902896282419701,0.9159823946435319,0.689650847509691,0.6220902008679848,0.8964896460196664,0.607912179530737,0.5568727661562989,0.8044487389825977,0.6037750777653255,0.7716714014141537,0.6505353027108746,0.9550446503037167,1.309327290177804,0.860315842468803,0.9924569529308196,0.5985779566859549,1.2334884672618307,0.549533539041104,0.5567776948862819,0.5085992375609467,0.5374895524729153,0.5415956385511611,0.5015951874008938,1.0101563848584472,0.5090405953734635,0.5855980999696236,0.4622907412531553,0.47470091693467575,0.5724749599248486,0.490704340257279,0.5468919173516126,0.5391178620384367,0.709810032266643,0.6184673945663652,0.5515206817234104,0.5204368884030387,0.5715154125552188,0.5630839545256952,0.5281440898242915,0.5123394255742205,0.7825534129529191,0.4855350583552341,0.6149294282174698,0.4620129356273547,0.5534944086301073,0.5338567848954945,0.521972565375481,0.6841623898032352,0.5235519776856603,0.5299020660454563,0.6103962753716581,0.40263067353198345,0.3328257100151975,0.2912305581183318,0.3668195559233294,0.37639623126047755,0.3743593434885985,0.4268949039392254,0.4091336802479039,0.5471589906857574,0.5012971033408807,0.45385610427351397,0.4075795312636702,0.4088746826142901,0.3351204135299175,0.3398928881647712,0.31613255302332116,0.3722131365675532,0.34368998829668396,0.30742623007364167,0.4612516115183905,0.41268658999782437,0.4364376723637253,0.39915602812294343,0.6034433830029181,0.43316319008332477,0.47956853777827263,0.9781553234515786,0.45437353249254897,1.1667621445778353,0.4588849121261179,0.4587926251716868,0.6239930832640258,0.6022100978995762,0.4348114413635048,0.40292758151595215,0.4206812970626844,0.3537006068908905,0.3837987851501161,0.36740404050067166,0.40696100994753687,0.4445988707552629,0.5382275289256456,0.8561973680190611,1.689043923499691,1.185065473223526,0.6468066524852975,0.45200033996670397,0.4999329556249125,0.4401579452761151,0.4704471017517285,0.4123834662828635,0.3763034318756479,0.3673544180164503,0.35589671283687707,0.4149453012712206,0.5594052441850406,0.5404399229022239,0.692005773351025,0.9883580106994928,0.9472024195194775,0.6680437276646999,0.48466810165221,0.403608835990869,0.389095390599068,0.38826141525212304,0.4481655333584186,0.4708701098233976,0.6573449159698246,0.48283885587076364,0.5120265882016474,0.6789186809413857,0.4019694148892563,0.3999071737304017,0.3891957617157962,0.4112430846682925,0.5369793147541442,0.6604805414675103,0.7718075187088163,1.3608037968018882,0.8177049120906027,0.9454281879882238,1.7290879010879374,0.9105577948389625,0.8834788009344577,0.5748080629813288,0.4636252404957897,0.5884759561990991,0.397085929600031,0.38764682307956616,0.4444304363912243,0.3796574061323128,0.43911184706802886,0.3604081863182785,0.3820398921980479,0.48558178648180583,0.5117582723868737,0.5178780728633317,0.5395483473696867,0.6944609126967504,0.6178768200208044,0.6363441483762543,0.7188048392765092,0.787502174749181,0.8516348654080128,0.8246305555854607,0.8308143335556442,0.9894211174821179,0.8451577331776197,0.6568375457194924,0.754044756368448,0.7560590944582198,1.9356379681631575,0.9717890147977226,1.5632047307732522,0.7260628807701578,0.754514622596183,0.8157808657731431,0.7574793076481926,0.6576904487619234,0.4933281869015343,0.5635971157357461,0.5667714754467432,0.6331047096424238,0.4742187719239588,0.8657848420490654,0.5653558277143159,0.597108154811756,0.7956528014752345,0.4217151308467726,0.4948279897340266,0.5670373100301246,0.6999559546161545,0.9289808471052298,1.0880295950462826,1.0436690196176188,0.8726384617777834,0.8636558863154564,1.0778827667454447,0.9466042982841858,0.7687662543213739,1.0096274603824684,1.091619905934206,0.8429913099452375,0.9393516103678407,1.1783953958365787,1.1323576276950995,0.9567754172545836,1.0163962725269353,0.8283153435351993,0.8256055976916098,0.727027041799535,0.7193442633185809,0.7117997746297958,0.6043425804579013,0.5956646800439763,0.5568998366745619,0.561643027717067,0.49436475164463656,0.5262920170289938,0.6701933487075925,0.6081164805360624,0.5385787599964367,0.5962765166918529,1.014628413992379,0.7947131456442128,0.7794099075106647,0.912280154517761,1.2254721329400904,1.0393887809729558,0.8730711284376138,0.7137676599809244,0.5985353592861544,0.9212434000988786,0.8184049022860769,0.8925471554807077,0.9569848526748843,0.6509118283719388,0.4660633548357473,0.35854578560316325,0.4203034188742834,0.38464413756293314,0.41602313939945673,0.5789627840355394,1.7003838514528373,0.4307004307087847,0.5327728783390916,0.660553105247161,0.8094626395514019,0.5110022286825874,0.6203677994228138,0.9752367407395222,1.4110249810840583,2.247738304994362,3.1098933222875034],[0.556567254319313,0.38560580168567926,0.4772310461275646,0.36381549055939066,0.3671882161585725,0.38404696800274196,0.3228723136376744,0.3543869639436365,0.32313704282541156,0.3283938479786465,0.3374514757600419,0.47323884378471726,0.3711435901391935,0.3722830364934226,0.5409824548338931,0.49986994804919616,0.5029082599215645,0.5875710960418277,0.6575655210216875,0.6611513569071438,0.6665866951904229,0.6617846833583579,0.8011115495175898,0.891835895715695,0.6596698824584679,0.6716678569942041,0.6198597090030928,0.530887076365297,0.5611785520117959,0.523972361354378,0.5892659608941311,0.5720181983106627,0.6689788141725358,0.6450655457276705,0.564738319857135,0.5560796696227829,0.5445714140965293,0.5718017510292678,0.5416396610902782,0.5227513227827265,0.7334385815790988,0.6890710671824182,0.6224266380532388,0.7252094138130423,1.6864100199228296,2.3453367670528467,2.1866311681215502,0.8435234223640594,1.0069436966905516,1.4205036018133945,0.942153343267793,1.736158135920065,1.2437503469668418,0.8978829077589879,1.7975878681801234,1.1412296543593266,1.6507536721738054,0.9255974945534475,1.2041492917393806,0.9385627911813438,0.9628270458512117,0.7735819831522598,0.7305956732009,1.0571373848862635,0.7401475951260295,0.6599062974925806,0.9124077717960236,0.7347411070368112,0.8768082433572895,0.7291623301921301,1.0721322775592832,1.5375656397515822,0.9687419457787217,1.1165985143903308,0.6965893241310037,1.304695492589552,0.678544583025019,0.6629051235002865,0.6133596679638793,0.6355921921116885,0.6357574999127505,0.610793361613032,1.1002003750418758,0.6525811796317275,0.6430581117449545,0.5669150463284844,0.5641526100851314,0.6497775918367882,0.5801497855455654,0.6453755975841445,0.6483243745567556,0.7934399570089536,0.7033567128859697,0.6467174234815001,0.6085617091606339,0.6519163913353241,0.6331031219752562,0.6106839066888424,0.5954635819096159,0.8842227756652057,0.5761527769558364,0.6960456709878096,0.5545627574329604,0.6378266649554267,0.6146748894274222,0.5599105316587965,0.7661892040028985,0.5383737102209658,0.5304507150827732,0.6882480727484175,0.4180706336699615,0.3777037118731948,0.34083574920614174,0.38811508393160915,0.4284722312067027,0.4484072625915065,0.4766981002989256,0.4748465256379034,0.6150559925388744,0.5683089844585765,0.5180760749801141,0.4729842276454242,0.4992033928608949,0.39611808986158303,0.348476133430012,0.3501826799097496,0.48413048835766587,0.3774115455933372,0.35223715403907396,0.5137036675127553,0.4556461993655874,0.5009320034594272,0.4481502879013002,0.6644139459137103,0.47409515564987675,0.4883087854579817,1.0213528681103783,0.5223314177108105,1.199957455640666,0.4823486028769941,0.5213921662109412,0.6959298552495273,0.6738047442815596,0.5014986289092159,0.4792437961940959,0.4797874149740446,0.4168090644696097,0.44785436197952855,0.42853120929917166,0.4327630632234671,0.4894017277362044,0.6018409018468116,0.9154765282928296,1.7784614780811037,1.2242049886629,0.7311598707828106,0.5290554368796961,0.5751235526010543,0.5244664906062201,0.5229767016574961,0.46280651014542556,0.4624932193574073,0.44868416574292963,0.45718733191770056,0.4944443159105683,0.5653824997884753,0.5282670163450033,0.6146206374824433,0.8779834201236671,0.901496791245275,0.6441869933225669,0.5181477678025498,0.4536396771159704,0.4373807124227904,0.4490358323739159,0.5430646458536373,0.5450155586721369,0.7352072989770954,0.5682645433891368,0.6168078154347383,0.661442866765931,0.4663235050380126,0.46004436617974226,0.4404456087484411,0.4496069030215645,0.6014177655133366,0.6977044815436324,0.8321890697125263,1.2701389692119354,0.7790733321886053,0.8790806953990011,1.7139230734690207,0.8844317325452773,0.8455293347244854,0.5953660511778274,0.5155690235111209,0.6510300563521673,0.44817495550100095,0.4236584287784296,0.4981272366949799,0.46144719647797283,0.5375314542545148,0.43942586398050615,0.45348975603114966,0.5605592654924334,0.5790187180669466,0.5836924924184668,0.5875972468211517,0.7382919399982002,0.650503183837002,0.66435865203876,0.7284901589195646,0.7792660481854141,0.9008083850742188,0.825110084488711,0.8266204527780213,0.9988919584004231,0.8422252474555209,0.6694137751851229,0.7726370996869854,0.8007138521420013,2.1106601783090886,1.0285500745860485,1.5804689081465193,0.80493530760153,0.8740477072841526,0.9002016107463131,0.88423989893392,0.7628468533127981,0.578343330472565,0.6476169090107143,0.6150526172914986,0.6356046752166824,0.4965053574136679,0.9344489873965119,0.5273524054844319,0.6110251318095159,0.7991215081889911,0.45333095874670143,0.568438697649021,0.6756064401987967,0.7791848518223115,1.0401607694183619,1.1999584916657111,1.1597250113679225,0.9623467420400211,0.9772777237232884,1.210391285920906,1.0367265716023035,0.8367403670716846,1.0673684661341936,1.1202869751493505,0.8760799624153001,0.9832747507351733,1.2094777845209723,1.106658683275468,0.968650881314535,1.0432633750787301,0.8584314852694388,0.8825094132991241,0.8079004493960898,0.8048896759944857,0.7726708712881581,0.6668106314752432,0.681515712446792,0.6257758876165811,0.6107646629599937,0.5475299020394065,0.585577938899494,0.6682827906785022,0.6134412490437161,0.5360340373477149,0.601009015105947,0.9301524920772337,0.7552345363124991,0.7586909660829357,0.8830904447087452,1.2325026047546037,1.0121862801689814,0.8658262885941985,0.7285010020330662,0.6328647285240376,0.9392777411581007,0.8204634879699274,0.8713783086296488,0.9415259381086273,0.6557381145153773,0.5086203183651455,0.4022305871930982,0.49603329128687107,0.4580475860522849,0.47334682482497514,0.6369401002492805,1.6961520985657208,0.4650964737197877,0.5997049507607024,0.738981414643844,0.6956023412255214,0.6125603775351873,0.7168874544124701,1.1235234066348783,1.4449837499202922,2.1774144560953657,3.2023130074129433],[0.4921355654106041,0.37926136210188244,0.4553254243915242,0.3706919992682077,0.3363112547201094,0.3229139244811959,0.2756540609923926,0.31702918035778355,0.29936285537188234,0.2845264473562074,0.2991450294619563,0.4033790406805876,0.33601697125544133,0.3603797576462615,0.5003635805783703,0.472661941398997,0.4865265539035898,0.5751644423475681,0.6604929638574959,0.6413862362866152,0.6677934168916029,0.6982311570251554,0.8218070045730438,0.9925943616160471,0.6858443025361478,0.6993794347476509,0.623609831542744,0.528886966147549,0.5390282595975309,0.5002974185809039,0.5559721900405924,0.5045032430994023,0.6156792649102285,0.5877873904407369,0.5170660542932279,0.5318789808255497,0.4892797019996482,0.5468816806495536,0.5330436099239226,0.5083205939215617,0.7440505374488271,0.6831379848797574,0.6264360009188853,0.9055362528426723,2.0167940407768796,2.6647791678610537,2.640169068341662,1.136403372786007,1.1536973027492823,1.7230753358999589,1.0093420254371324,1.6034619521033142,1.1564797087217498,1.0733650692862686,1.7949942871611895,1.0620465559533434,1.4463926969696723,1.0491681143413885,1.1736145101656237,0.9874469239046598,1.0122209872129444,0.7509970451460248,0.6985641764510566,1.0091739491278628,0.7297984937264191,0.6517454899741548,0.8752545942409633,0.6636036357025291,0.8133677664386967,0.68290114333655,0.9824035274239289,1.3720401795295147,0.8880143234620739,1.096449697111924,0.6735862002366596,1.3414272905137032,0.6435564971029261,0.6222591655074328,0.5819116437686795,0.5938740368616213,0.5874595323588979,0.5573374588759126,1.0692329035238266,0.580197082422919,0.6518901546480629,0.524339906434736,0.5326338695578063,0.604919433129016,0.5668616503872301,0.5817741045663686,0.6116318922815307,0.7868192045400704,0.6846430261497923,0.6054869402418487,0.5592361487159446,0.61163518242873,0.555241941514958,0.5558739203136632,0.5276800113133373,0.8179392656630315,0.4932338230864375,0.5993153716381179,0.4718487098444953,0.532285558363576,0.5015243809537343,0.5061815961036705,0.6415955793239794,0.5216492156323279,0.5161526244950022,0.6017152647906534,0.37755182001058213,0.31526769030093144,0.2942231397453393,0.3642457684834938,0.39361986320842196,0.4307397155249783,0.47263517588930687,0.483919576993789,0.6403468368096442,0.5575158080783312,0.526103676485615,0.47231905306937333,0.49180767862262853,0.3685143774333758,0.35080713921673484,0.34929417694938825,0.4004338335203082,0.3517776526224617,0.3224538625231797,0.43239820692868813,0.41507563110062995,0.4186638243397309,0.42027343765733804,0.5552357416071411,0.46567296117161494,0.5080362272562465,0.9517971797253392,0.5359402250402642,1.2145675441250403,0.5352459676275854,0.5211331009817743,0.77666146060789,0.7179188949661776,0.5185023116918874,0.49050561793550973,0.4841152410081844,0.4089568771193799,0.404308985455282,0.3816703869735163,0.39071904422935666,0.4346352171628261,0.552593472009052,0.8422660675160581,1.723334831773935,1.2526731739581105,0.674440067264219,0.4480341253968841,0.4895030516448579,0.43441195602548044,0.4577714595089956,0.44175317590931923,0.4291536384647151,0.45880467411093945,0.4426373323181187,0.4893266391124059,0.6218404013290738,0.5564925276638862,0.6873992550653912,0.9361775206599008,0.9402052127582993,0.6568888438906987,0.5320700891289927,0.45766769236247185,0.425786706749245,0.4184079163861281,0.4661542083514665,0.485055088642075,0.6554471753447232,0.5165340964283184,0.5196184260381319,0.7233541918296238,0.41022998476103417,0.4115582107769897,0.40909107306165193,0.43837103529142907,0.6078491397196142,0.7187120885778211,0.8569468413032281,1.324801777069003,0.854651822379378,1.008638651979572,1.845878895376986,0.9834054920594844,0.946315914583438,0.6307634292273062,0.49876057637396726,0.6249526944014022,0.43338201887606986,0.40681862145312025,0.4408817926098166,0.3712061423134385,0.4293419455542652,0.3530882006880044,0.38201481030833717,0.46833212090906884,0.5027723924597391,0.5190576041780474,0.542290918481583,0.6768219501155371,0.6270275835150682,0.6528400881780909,0.7241357960459257,0.7931163965732625,0.8616709137359303,0.8490539767386358,0.8621552317453338,0.9968667566402011,0.8716657900681893,0.6740873690247663,0.7509259708163077,0.7429541362742661,1.8932503391089068,0.9489088968055867,1.53548296263971,0.7027545759846177,0.7264477605938243,0.7753687639118801,0.7347103671807653,0.6326644848765824,0.48034780621590134,0.5417310551888347,0.5631082383600567,0.617891720869386,0.46437198909559035,0.8872447837231865,0.6074089424379856,0.6237689383710848,0.8400588512155055,0.4345964124738952,0.5017563720855392,0.5704773663878092,0.675655445103244,0.9177849867524674,1.0537447491305114,1.0331531884045302,0.8471670990713123,0.8426237056480947,1.0624085383069308,0.9218045173877343,0.7360198378562612,0.9770645092272088,1.057520206263242,0.819271435747198,0.9116448491127284,1.1499711864920952,1.1071068099239312,0.9458210119674026,0.9959951158071798,0.806700589244587,0.7931342944271911,0.6895730154668369,0.6855398660125839,0.6877148890910627,0.5863368693393913,0.5634060908075355,0.5404984247046171,0.5543733411149541,0.49602045573026476,0.5193437934539894,0.6920209572960493,0.6342146596553406,0.5808230578261261,0.6236273092323324,1.0317110710846793,0.8497148702595826,0.8138982278909873,0.9742714723889565,1.271254906713196,1.047338416906216,0.9020888720913489,0.74592523667593,0.6309815120545907,0.9155109464813912,0.8231592214602736,0.9135986895941877,0.986390739688927,0.660070814075975,0.4849082653583908,0.365011521210272,0.42270723728465553,0.38406000491559034,0.3958064571927571,0.5519756318842503,1.6603095339016964,0.42431566531756715,0.5384452838508811,0.6614366085150103,0.7380789076265202,0.5410905903340113,0.6686731779695849,1.064502639287173,1.466650849083392,2.231664990739093,3.2314515220293822],[0.5165757390153157,0.44022373829276207,0.5130584995301531,0.4248660672515471,0.39963515459011084,0.38623148045868866,0.34060597058054926,0.39209266801611176,0.36838798301812603,0.3713318265710188,0.41837537374243106,0.565958827376975,0.4574960617696597,0.43362346800438045,0.6089969547007853,0.6042546789115655,0.5850752392460635,0.6825150178847856,0.7423586097660184,0.7409302388538113,0.7615725828595206,0.7599008466230714,0.9338384410939653,1.0953766773425613,0.7464961228572864,0.7584966230078682,0.6965813124862229,0.6013044505292924,0.6426675314234191,0.6075139905864981,0.7103845824170133,0.6596439041191663,0.834628848264598,0.7937299560320499,0.6974811968439801,0.6691295957062554,0.6284788315993847,0.6660664856288315,0.6288357423889048,0.6239392081122473,0.7887826169359412,0.7844927949359513,0.7288883668544148,1.0048027383313356,2.0938959440306726,2.6983261218405676,2.6391755018301084,1.2058983228985123,1.199630228740276,1.7274594134646708,1.077058910913969,1.6041888180756296,1.2322084544478207,1.1474999311306253,1.7163568942623015,1.1667415187850967,1.4864268869356818,1.1322587238802369,1.236201696455666,1.092532700084771,1.1309126645975733,0.8770044915363686,0.835960888489436,1.1752006844211798,0.8746390477975536,0.763124780540189,0.956886437244911,0.793747928384104,0.9057588384316996,0.7764922981348605,1.0285105463386683,1.4232150059858517,0.945101715063197,1.1992000161428324,0.8125008930059953,1.4853045206758575,0.8176701905670216,0.8029824522868518,0.7607423080251358,0.7518814243293127,0.7459379023733487,0.6920245099560688,1.1973451157407595,0.733805657894358,0.7197778918248515,0.6470064273321372,0.6523559147679872,0.7485580522537354,0.7188184203723111,0.7705536096087396,0.7975103422179838,0.9376660549573531,0.8490320662216082,0.8125637720326387,0.7425772361966045,0.8025447317463396,0.7280449838768248,0.7344127561564906,0.6761548375486237,0.9353553961890388,0.6591282819634218,0.7227969435665871,0.6088967293496611,0.6363513578639104,0.5957161377028054,0.5592706047856049,0.6930125789825953,0.5721877066387341,0.5566567321324688,0.6393783887616744,0.43550878936910536,0.40024428999207456,0.3825605517531022,0.3940296427307319,0.4316906014512014,0.45795758385628377,0.5114439809420788,0.5434572369240993,0.7343682225340177,0.6311965700479634,0.5900348055632827,0.5406274826613444,0.5313486223522085,0.42935113873394404,0.3728047415544016,0.3844143007290337,0.4419671071033229,0.39846857820390225,0.40628686476718234,0.4871871208181547,0.45515304975453563,0.46069134637133385,0.47507492754197095,0.5933119526099351,0.5216916474858893,0.5545388799688348,0.9651942170318609,0.5628251891652447,1.2088557234169826,0.5932330382143789,0.5863199412237258,0.860185268196716,0.7761265118326299,0.5905121919968975,0.5591970273782088,0.5576716181052286,0.4745259966305141,0.47804714234094875,0.4623427429079278,0.4737369357877983,0.5334643370184347,0.6559636215688047,0.928931409028474,1.782243919371299,1.301724362356636,0.7914365981039271,0.5720325951601991,0.5943904865250424,0.5430216416937549,0.5386531847331663,0.5067920054093676,0.5200178243778582,0.5386368712227894,0.5252745610389303,0.5277092579529709,0.6690953421151316,0.596287557080498,0.6965321147820548,0.9030190864717969,0.9371522936691188,0.6680204312871523,0.5846486747718921,0.519769987122792,0.5136568366916275,0.5216516669648633,0.5795412416586315,0.5958928613055978,0.7817845724300023,0.6268388119463761,0.6184030609920401,0.7837073833951627,0.4910229076843657,0.48654790367102924,0.4834288659262593,0.4964273494500772,0.7022848771737172,0.7852014409352648,0.9397695477307195,1.3038121973303,0.8512627272321006,1.0092980721685256,1.8648360907551367,1.0006209232744279,0.9665034835487544,0.6882974183016793,0.5516376316906755,0.6597063539706928,0.4832718514667184,0.45694790394723933,0.4770286109943638,0.4235204000729366,0.48608418124812136,0.4185344643266381,0.44948665643401947,0.5290789248004077,0.5648683743805323,0.5748676418234481,0.6001124289163117,0.7283371644404175,0.6852172729536913,0.7111370643380358,0.7793711955494514,0.8413966952953612,0.9144003630992722,0.8991445286575912,0.9233313455744806,1.027272672938044,0.9297778050591583,0.7368038916866262,0.8066956585142193,0.8055645596129751,1.949415885449027,1.0078552482077772,1.55360241459658,0.7559385929041662,0.7889631071425337,0.8285897889095974,0.7908599692965907,0.6907394798731598,0.5422923993154422,0.590188405004804,0.6074811344186097,0.6521097851728779,0.49846737164571875,0.9065410742400296,0.6362889377655327,0.6711809619233264,0.8698146257003345,0.4689867851056584,0.5597064080730481,0.6149760757874471,0.7168030592217222,0.9594406217888097,1.0901445476572644,1.0787310188042036,0.8856621633040437,0.8871703225451392,1.1122924257941718,0.9597974369796906,0.7716179060334667,1.0098386047567203,1.0831882653723615,0.861755344664969,0.9602230298253079,1.1930029947599745,1.1339208159660799,0.9940526615045558,1.0457959057144992,0.8582975074683339,0.8476430150681367,0.7417053996013305,0.7335108633656837,0.7427408850857923,0.6414798077151709,0.624820431368489,0.604701898739604,0.617822081322705,0.5560631331101477,0.578084865784942,0.7366906340043141,0.6963212075539795,0.6340035277039705,0.6782647273151476,1.0915512020370366,0.9206600730903662,0.8859879732346783,1.0497621979390876,1.3285712272262513,1.1071033101553822,0.9618213387125604,0.8126316572728852,0.694802510328264,0.9793756473427205,0.8624600134885874,0.9501840709429882,1.0235468029764723,0.6839218025709664,0.527116323903963,0.4188690032427424,0.4864290899706027,0.45141329577483735,0.45756401079974324,0.6235292950971116,1.6904144646942143,0.4785973126222498,0.6101115902579791,0.7423839512605807,0.7481545740188386,0.6035690220259121,0.7327935673499277,1.1350399132840012,1.5144635590522157,2.234449745854964,3.2809244082400437],[0.5548494880871175,0.3985200085218072,0.4545413240065268,0.380787712369949,0.35912353976026967,0.37618386839694,0.32565491057827756,0.39177779173131433,0.35178529561583055,0.34390478541785513,0.3702442075239466,0.5068799437942484,0.40591463313840104,0.39980800475249906,0.5628050019459656,0.5506916802968652,0.5485814136069861,0.6439279897276283,0.7207099071025284,0.7153384702624187,0.7364910912783222,0.728165009361551,0.9012908750678558,1.0531410175947482,0.7221896786966168,0.7349883667489593,0.6691965168369126,0.565126195302713,0.6044998420318433,0.5643543773615891,0.6708322840056578,0.6328126168659427,0.7941833813776819,0.7497652386223005,0.6533431776909994,0.6256943943056524,0.5858725641632295,0.6196115491898427,0.5848035564880272,0.5803301542161817,0.7508515364286881,0.7554560068765548,0.6928122661270398,0.9045175993466146,1.9722163575278902,2.5846209885507445,2.4835157975707847,1.0574995429787073,1.1081378295620146,1.5990637998678998,0.9729290557364434,1.6039339630364287,1.193322204333669,0.9966346415184638,1.7138314816110698,1.1556980300664186,1.5491674633871475,1.0311111098519365,1.22021195692804,1.0187806841751532,1.0799935748432292,0.840452077677487,0.7977846652520266,1.1865832177330278,0.8593843599819796,0.7297412475214714,0.9534010087873953,0.7817365182197835,0.9078393603924189,0.7473743846336224,1.0523588159836512,1.5120973906961892,0.9660427005060257,1.2390777102804063,0.790391700864806,1.4400935010580789,0.7854371366414458,0.7820240362727717,0.7235650743878638,0.7175813115292857,0.7183282514277947,0.6625189850263915,1.166436297185772,0.6865145021119372,0.6720586116564957,0.6027272189432236,0.6154152248920229,0.7082493222881463,0.670488521219648,0.7357197888505879,0.7591842650327656,0.9049026103678737,0.8111238643614941,0.7577887044789178,0.6913680620186623,0.7440096684790013,0.6722720698687289,0.6832165241319743,0.6513598508867752,0.9722137639521492,0.6373577147740861,0.7142687613198029,0.5996354213289381,0.6497308645444424,0.6068472474029795,0.5778903591809549,0.7500683375490388,0.5761556806935793,0.5674942570491526,0.6785961405383502,0.4576638647891838,0.39499588511412925,0.3718651817254331,0.39579075946113346,0.43506784798935455,0.45691071649271847,0.49880281934103743,0.5178808646411115,0.7073196568510571,0.6090789269300219,0.5735261999403931,0.5245350565970106,0.5255525385305488,0.4029072313322651,0.3631480243888489,0.3522315724819858,0.45536183066455443,0.4049884791222947,0.38278249045413765,0.4930102747986732,0.43711686808591715,0.4669339922784181,0.45235434157798077,0.6428140366976464,0.4971727616966369,0.5258474455407866,0.9942269037858119,0.5228543926145917,1.2052685845040552,0.5470789028050208,0.5504078915275424,0.8253877818777294,0.7460913877833085,0.5545494010806283,0.523992470567525,0.5184311755587074,0.44591157162647155,0.45570195990590695,0.4551165191721994,0.4625784591890718,0.5271621464186289,0.6441535946264846,0.9636382467904299,1.827646777255645,1.278919902987989,0.7994837251455107,0.5681110807920251,0.6000273953830697,0.5438986871250184,0.5455127846224107,0.48695673220187574,0.4780795782609943,0.4903430224821566,0.4820130968972676,0.48867803476892985,0.625899417559358,0.5611260062592843,0.6680958689520546,0.9019798292113352,0.9265387363866154,0.6545714251178971,0.5403823451678971,0.4686782473709061,0.4677621615250047,0.4810465526023066,0.5630863081824603,0.5806245215185927,0.7683435818600453,0.6039450328245315,0.6339854576769955,0.7466236957381545,0.48286359561305725,0.46787491262007963,0.46086686733766863,0.47071579771963695,0.6493081823824357,0.7395157742003543,0.8968749594316805,1.2922415028699044,0.8083516743511083,0.9483177270143486,1.798639860071388,0.933748831456877,0.9049107766060506,0.63989482395576,0.529846606614285,0.6569761962593235,0.44134028588576907,0.42892001428251225,0.4760793400125728,0.4442626049361436,0.5224267105051194,0.4203130287333893,0.4262185382877379,0.5413153432643971,0.5671437012274017,0.5269807628420612,0.5671324590060679,0.7432195470770614,0.6409959262561792,0.6479944750059807,0.7387157373308377,0.7989293084249994,0.8502519664100581,0.8195051661605534,0.8271106351992982,1.0000784333356982,0.842463087302301,0.6566964262982066,0.7705360528146634,0.7938062600769415,2.0223522138902297,1.0317475201917579,1.5926856894618189,0.7975891361370642,0.8507406556724764,0.901001400591139,0.8540396053949776,0.7445990819222341,0.5655733626298374,0.646962433819664,0.6187661927808071,0.6452404233340503,0.5008269103373191,0.9237864832923486,0.5741974979599875,0.6363180691101478,0.8046133317308354,0.45269659439098725,0.5519021026434869,0.659742421046749,0.7892553618708933,1.0619527176602341,1.2058589706495964,1.1877483926942607,0.9780498061627166,0.9927890782289307,1.2277568744731906,1.0634976694099245,0.8502569287804833,1.105428283817326,1.1642525341009518,0.8984065693258908,1.0173824553955015,1.2573151735562544,1.1553428879450804,1.0016896483081115,1.091064417040883,0.8857089566166072,0.9096810439933235,0.8163028630800595,0.8091273736936868,0.7806746330847762,0.6586831122162985,0.6560972600114809,0.5994501022312796,0.5883511476567475,0.5267281344843103,0.5579667770096687,0.6835115233307925,0.6283911056942867,0.577920813647134,0.6047104256249396,1.024907720936975,0.8173052399677155,0.7995909952268857,0.9421839460086678,1.2410115747971697,1.0668073042028017,0.884178925446023,0.7183142633331578,0.6116325621757336,0.9297626259611648,0.8430455526703905,0.9333361394431976,0.9894865823704151,0.6605890475495467,0.4811706263653259,0.3879583186989825,0.44847508140064185,0.43656507679720313,0.48272806616688907,0.6596942335735274,1.718588093588649,0.48042192541628387,0.591727282541923,0.7447139599853969,0.7958380212755516,0.5743838313769908,0.6927474001791191,1.0644026750864806,1.4269664924251064,2.23508411568809,3.151559938288748],[0.5381917144577661,0.3802538092995908,0.42802495693520165,0.3517219611229759,0.3465963131670591,0.3267160732495678,0.27642752543307386,0.33907590262769377,0.30280380002865254,0.2992961996778759,0.31395616622926537,0.4517290586701125,0.3449766423292635,0.3558559609130209,0.5210418660711716,0.48548168298228384,0.49166453615825967,0.5823330191091758,0.6640394947488332,0.6454175363229311,0.674124667315863,0.6972144481259541,0.8373754420605692,0.9953310125042976,0.674967854087148,0.6937069747930926,0.6239709577090973,0.5251178402683528,0.5397933456212911,0.5017313308666536,0.587221785539106,0.543878422911889,0.6687003758592869,0.6450724268181667,0.5475454077453079,0.5440340503276101,0.5031188342426663,0.5506913649000512,0.5279475783411929,0.5039200365570333,0.7382321048478423,0.6815592282357812,0.6249746373719465,0.8676561239023535,1.977906595046893,2.6252182359823184,2.5864561094167544,1.0906639617632556,1.1220845370593278,1.6650271750981294,0.9835129687983222,1.6209727104394307,1.1557115394467932,0.9891356088757979,1.7732924478220444,1.0838773200808538,1.4972480408891633,0.9887432901493435,1.1815701443482782,0.9592690238264037,1.016163268292978,0.7673144805474225,0.7174208380620376,1.0586558072778522,0.7583211597827875,0.6605020877624432,0.8984286640175063,0.6984399471127456,0.8406983362707506,0.6986044792826261,0.9992420320737438,1.4374115854693525,0.9127506940630313,1.1573318331976856,0.7016628991479422,1.3867699144969192,0.6803868183662012,0.6664665449418733,0.6122338358065714,0.6155372455630012,0.6110809544445698,0.564926575566359,1.0975994455922666,0.5989013116588544,0.6262469167916986,0.5260642153064675,0.5385813317481851,0.6166618143845543,0.5816349086662992,0.6257432895032752,0.6535222893025219,0.8243413794791623,0.7269719621911459,0.6617918541790934,0.6021843932646462,0.6568738323499527,0.6094364673052574,0.5935731877062346,0.5736422522834812,0.8753731687024553,0.5414396975469573,0.6655704878369967,0.510335540769098,0.6000726374589455,0.5497652180022795,0.529107518567454,0.6994689401558217,0.5224924181212173,0.5334622796952159,0.6248630191919656,0.4031439315112592,0.3399932334793531,0.3121795654755622,0.36830940519265304,0.39346890019560493,0.42297262089098725,0.46964711769196715,0.487087560073293,0.664701240843778,0.5741411484988617,0.5366173901513168,0.47377826578155974,0.4958803152910413,0.37546808298726886,0.3497755952182151,0.3421657921555402,0.39958114879468815,0.35695486752388694,0.31929630345100446,0.4511993851783625,0.41858979957319314,0.43808188515900887,0.4116436178433732,0.5995862054685186,0.45574868838797056,0.4960724143198436,0.9924128192117927,0.5268548732755619,1.2032238088380998,0.5298607234025889,0.5116588405415229,0.7608754704983506,0.7009600985969258,0.5103977961576903,0.4776346728557093,0.47584492388902144,0.40312032441653267,0.41202347082444035,0.3992147845691161,0.4126983602013222,0.4712469308322467,0.5803103687948739,0.9157960698688621,1.7736962736757718,1.2242505946141586,0.7228883807495317,0.49942319552831743,0.5457848546569173,0.4784849092056054,0.49736676813410946,0.44651943792043997,0.426759431063438,0.44172796750591636,0.42793977685158724,0.46296117784225965,0.6057105151086692,0.5496722780929896,0.7001133660334354,0.9567533186572957,0.9418144416843752,0.6655957383546138,0.5229548424572498,0.4425051026901439,0.41869006843526346,0.41941103922486533,0.4987773422459507,0.5094486655025953,0.7118413530865335,0.529215660756574,0.567514290629948,0.7000923153098053,0.43075190265396884,0.418587118437377,0.41753341051123755,0.44155556267390594,0.6061263272592323,0.7104197033643105,0.8252906422802533,1.3442925990972447,0.8354487163810941,0.9869070589513853,1.7918201898775608,0.949810331344022,0.902492442728652,0.6027831460149661,0.49794555678266533,0.6292573319988931,0.419654250492221,0.39462056533794443,0.44514044855018076,0.38297541415359154,0.4516340030060256,0.36587245408813107,0.3783740244389081,0.4911111876778758,0.5174192820091595,0.5049398848522934,0.5357230554911995,0.708124181069517,0.6098443982551114,0.6291727788588267,0.7261727464186521,0.7867045487264385,0.8300053351594882,0.8142182520887394,0.8137390790093194,0.9960138609047121,0.843166320165193,0.6555068014339359,0.758901612101979,0.7705698357338526,1.9273371937550203,1.010031273553395,1.5975161622152196,0.7557640939095668,0.7902919647901587,0.8302325033967517,0.7754571524348978,0.6933572025770594,0.5068817799898645,0.5737532110297111,0.5641936119345762,0.6376898422501835,0.47164983996592685,0.8668139856141918,0.5692827239318055,0.6175376019302192,0.8034864567209654,0.4223975746777962,0.5085338883282885,0.5944215150138576,0.7154648044419539,0.9760569164748981,1.1462798426186238,1.100244460208215,0.9101040607644812,0.9225559801529994,1.1487550159312787,0.9953799158268085,0.7997704774123249,1.0644000181823314,1.1336384592153352,0.8614776936043094,0.9833316223074173,1.2338868331492556,1.1508493603285772,0.9820186619099129,1.069027972976713,0.8571697228546575,0.8696424519492127,0.767537412525333,0.7613988346793407,0.7415434783926124,0.621789980988325,0.6188901862946438,0.5668079626482573,0.5589100070259747,0.49278147308527864,0.523158704260122,0.674136816294419,0.6059446447725728,0.5630063479940014,0.5922942360749852,1.0261798493827314,0.8056313286901684,0.788706662562715,0.9286552904042159,1.2240854538178845,1.0712779085499227,0.8802559260785036,0.6995048046644952,0.5934971402378171,0.92488851046634,0.8507971050249269,0.9488412364793591,0.987409098195107,0.6694768142807358,0.4742535860079728,0.3666376023900402,0.4239496970428032,0.38993293444711574,0.42357708149758616,0.5810334833865082,1.6899754366644961,0.4283010789203814,0.528361168241052,0.6598232659862123,0.7675180527757735,0.5167935029285422,0.6321061704871673,0.997665321632738,1.4107561297792486,2.241727042135384,3.0904493016231585],[0.555824482933382,0.36599947330670374,0.42288071669422117,0.32489091165373024,0.34450364190111027,0.3482090272710899,0.2842910916349749,0.3725540470252988,0.3148457653350671,0.30690446298962054,0.32204036421511,0.4437607479660835,0.3486528986221772,0.3493996316463589,0.5094424727433988,0.4708745120738911,0.47024382760305944,0.5412065019043645,0.6124439357195479,0.6071028395371795,0.6198687379171436,0.6402535575257204,0.7659534859951136,0.9006568573491254,0.6217178503861226,0.6371367357398784,0.5678100048106097,0.4811559769312015,0.5136588639850119,0.48483905959050433,0.5611011143509675,0.5596310421800904,0.6451614841818536,0.6183004159556358,0.5327146699977432,0.5245069296989222,0.5035844442014559,0.51482276472002,0.4841640694727237,0.4635467971250942,0.7304660788450108,0.6208285816325075,0.5571253131185104,0.7265001617559615,1.778662058894395,2.4592601922641384,2.389632556395492,0.9200438343497499,1.0313694293450926,1.5384374775711622,0.9277351933761153,1.7245287381360113,1.1974017473456704,0.8985014278596685,1.8341479921621602,1.0900615033884296,1.5893598149040633,0.9084684215190143,1.2009510336017335,0.9087934750181046,0.9452288664289693,0.7354345254103789,0.6870846020911915,0.9930551909618016,0.6825003441431813,0.6081383453981224,0.8512595242676485,0.6753973983703211,0.8281471928493691,0.6846832231995262,1.0097187338422016,1.442094934130845,0.9251876740767323,1.098334608680486,0.6690963172128717,1.3269521361023058,0.6370713495056881,0.6404769018560009,0.5780933251686013,0.5966364758371067,0.6015860053895434,0.5533336755782,1.0658194281409856,0.5734593999624525,0.6089849959826057,0.5111205828449198,0.5180707494595165,0.6142474777221761,0.5398343615537361,0.614574170107084,0.6161251899724388,0.789113901689966,0.6938316280579179,0.6389028331627485,0.5924883922106693,0.6387367937074896,0.6248345574249243,0.5968900206180155,0.5931217473796752,0.8683673645650976,0.5709471166333546,0.7130391170317264,0.544995673532969,0.6535407276282976,0.6029005898695707,0.5679776130584271,0.7714297104910475,0.5452098248480802,0.5519349113711965,0.6496256532307688,0.4367898836042774,0.3695434241352353,0.33122998691506467,0.3762539216833782,0.3896041955040572,0.3785056673328954,0.43059680031523967,0.40713400436848074,0.5733792879299764,0.5105977920566217,0.4629918505182141,0.42364341737973904,0.4275916739588934,0.34028900684444663,0.3382680211937559,0.3163763264426477,0.40004512073403414,0.35551875994595533,0.3268918032648512,0.48759750641483707,0.43015088130122464,0.4752342618740117,0.4133758885727909,0.6519561189178918,0.4478461816596794,0.47472874210018384,1.0028226037133938,0.44017677165732383,1.1596281873708274,0.4445646120891219,0.4412979188474701,0.6364793470738268,0.6193516657584256,0.435570629692279,0.42207932569058815,0.4405153897410337,0.3675222240059124,0.4121062515158116,0.41530434694596263,0.4467713558068372,0.5060406693160504,0.596465325283506,0.9505793509401902,1.7635737622157641,1.192107887510597,0.735220083365313,0.5306412791618196,0.5847784089180798,0.5128336162569918,0.5376269456550609,0.44051656387020605,0.4139757550052622,0.38793677383138264,0.3923764710311453,0.4350318833134333,0.5391910311696572,0.531778804028116,0.673626461541917,0.9758739203089695,0.937659311075617,0.6672689060041845,0.48083371401643576,0.415882167085714,0.406158392322914,0.41683927967202333,0.5066445460819031,0.5132293805130764,0.7299580532357938,0.5263311806056772,0.5912319517921903,0.6574023940837654,0.4515627788291172,0.436456687689192,0.42639818627839843,0.4415279969128213,0.5637368951005048,0.6705990508710374,0.7819638127790423,1.3351415879599728,0.806573992108818,0.9000005114270596,1.6891378531815653,0.8758835932259565,0.8540986269316191,0.5740029498787159,0.47034596332921075,0.6054928303345992,0.399733569762573,0.395028350275825,0.46593932258357856,0.4194143389277694,0.49588256089695415,0.401196741833466,0.40172433597065244,0.5279900291495349,0.5418090267462785,0.5117347303974982,0.5477060377051737,0.7281473010115982,0.6105732989723273,0.6296244499123312,0.7346103250487399,0.7825469370925421,0.8394599206782137,0.8078953083106301,0.8015375816896921,0.9944409451034569,0.8414483755588033,0.6559060994570466,0.7773561169947035,0.8058506600942295,2.0144218325190386,1.0490837587815132,1.6166712372321028,0.7951692501904556,0.8442300369018662,0.8937761384406464,0.841964367536246,0.7485209385602102,0.5577305244178467,0.6345358099236093,0.5940293208721227,0.6621971001163732,0.5056368049648157,0.8804948469575183,0.5357238128174208,0.5993975130604933,0.7665752510902195,0.4229926584760991,0.5181383663617806,0.6297115552158236,0.765855018735444,1.0139438921143642,1.204519187292772,1.1384780117145292,0.9564604973780308,0.9774087263554309,1.1944422557156393,1.038222755078882,0.8441660544559899,1.1032044362409312,1.1649985000112164,0.8860211602044615,1.0132283928016275,1.2575818694723366,1.159434173168818,0.9955867559382555,1.0907215854447512,0.8835089773810975,0.9057616248079873,0.8140357469902946,0.8085801353037289,0.7810773872072265,0.6552883127047006,0.6618874890397695,0.6079485538137726,0.5915729879042623,0.5160588799244502,0.5571858621673322,0.6883201650567612,0.6050931185111902,0.5314719954091714,0.6009925515063843,0.9929059472006754,0.7719469320426589,0.7785709354938931,0.8960589547198832,1.1961951946166909,1.0621079130761124,0.8756363058303098,0.7025473060257301,0.6010046212562725,0.9513539505194778,0.8619207689056214,0.934516092213896,0.960902786912487,0.6641195427262035,0.4733816855152572,0.374550445766642,0.42210169883519355,0.41096832751403445,0.4590158910468289,0.6119181528966416,1.709947123760612,0.4524276300562085,0.5384046979869106,0.6692850540719164,0.7890617496392136,0.5287687588779169,0.6404345125585217,0.9876304704076151,1.4039358250858922,2.250989395112164,3.0233427117159977],[0.5192612165210002,0.36392349126419554,0.42320678640329884,0.3505367385584804,0.36116772253772694,0.3255986656128779,0.2966305791946542,0.3316420919621205,0.30012288365776085,0.28415677084817814,0.28703620568767446,0.40192343860644525,0.31633687536045674,0.3218198507572474,0.46548249636636746,0.4290302484245381,0.43222273838766323,0.514730016578668,0.6026422286343975,0.5771534955242571,0.6029528046858708,0.6521067288591039,0.7687886430529391,0.9717376681588363,0.6163728672610947,0.6336709656495736,0.5543513996533479,0.4733002511813674,0.47547336526336803,0.4508329300039154,0.5184277973808811,0.4850891048112216,0.5835081162849647,0.5725191787352311,0.4753782926425692,0.48348157101346856,0.44449031715827925,0.4787260482658591,0.4626876774317506,0.4272155015332194,0.7317722681669104,0.5985083404001263,0.5552896410512039,0.8455505345983003,1.998644602575417,2.683369810965838,2.713674883990568,1.150252370057533,1.1620498129178989,1.774336944512502,1.015808144898857,1.6413526180298508,1.1490013714229894,1.0474937869026404,1.8782496142125829,1.0324158048637535,1.4336207560733287,1.0259581439139727,1.1991631649631673,0.9486784475054527,0.9620608978551781,0.712230764722058,0.6553258334949796,0.9580028344492137,0.6514103983012685,0.588229331943381,0.8251401100837924,0.6151445199989798,0.7804418088219192,0.6508127405377887,0.9351547579985163,1.2784606385084027,0.8507414706370098,1.0603867496367163,0.6343454717118931,1.3057933486940068,0.5887406073697123,0.5848684623371233,0.5325854316382883,0.5475366189735933,0.5421877243188135,0.49640423297923775,1.040941294993084,0.5010535333260362,0.5856694322968441,0.4736907756310059,0.4749329309630349,0.5652107922578353,0.5025231406707291,0.5635688204548762,0.5758414542203254,0.7693922954456721,0.6647094555531533,0.599491790192607,0.5456239805815706,0.6108876268395292,0.5682209236952982,0.5417110779823588,0.5144775637377286,0.8026942280251892,0.4837843835824809,0.610877471193072,0.4617268137901358,0.5550213047697393,0.5141388660271377,0.5159191078143323,0.6607397521659873,0.5411443049180854,0.5540755235318129,0.6155533478099801,0.41371125465395464,0.34069627252220935,0.3039018360475927,0.3722294575500785,0.37567472208867825,0.38050684876447893,0.43389513748625386,0.4344188676715044,0.5707372648544736,0.5054258217445619,0.45882220102044124,0.41087134679075193,0.4352813484071096,0.34636497699363666,0.35020784260228116,0.33682755993281926,0.37968161960493807,0.36858653060255053,0.32464652789995935,0.46192631147290314,0.4418036836038661,0.44731340983459544,0.424833625189308,0.5863497784953287,0.4633905762513977,0.5121254650562136,0.9786762445713865,0.49442800747231247,1.169360574227537,0.5208387955948865,0.4704165294542179,0.6944059609826592,0.6514005167435712,0.4661419451403093,0.4346028507310304,0.44415263168827535,0.3684501923098176,0.3865533435043506,0.3773080815077228,0.41082493231771494,0.45725213533704695,0.5367589009060743,0.8510731794691557,1.6738404091736658,1.1770839536824202,0.6506418386101386,0.4469281111148424,0.49648315970535667,0.43011388181719146,0.47552172628242706,0.4397390688488298,0.3869872575820649,0.406707734750974,0.3762118327519325,0.43754496186787945,0.5932755391855341,0.5660606617574073,0.7494095884953741,1.030699866766678,0.9597516197611123,0.6823402441656502,0.5115287593729986,0.44144830396750134,0.4192807038010644,0.40347747192403294,0.4428502759001979,0.4719430402003789,0.6551871129446513,0.48295740871217824,0.48714834576207844,0.7155211408153251,0.39961311042583003,0.39986560039648605,0.4176652489880173,0.43866447074923226,0.5752202234503547,0.6895383703835087,0.8014623034881846,1.3983121784267336,0.8798894779614467,1.0260540013397743,1.782952855311331,0.9672713644376759,0.9185747847416125,0.6158071123987218,0.5353085492096716,0.6273083090092098,0.4545982368249345,0.4086336552518008,0.45239622828113807,0.3633942336689991,0.4262057291511711,0.3643810614338478,0.37522752178270563,0.4661957250528491,0.4914622294509752,0.5137823870256834,0.5168447869054581,0.6889027013808685,0.5974488173157599,0.6232242694017264,0.7280951782682956,0.7952868617994941,0.8147078357377443,0.8270193483646303,0.8257321955731192,1.0091445780364507,0.8436955389312972,0.6571809389054283,0.756752086845594,0.7514699696633204,1.818443570104127,0.9802383209479255,1.5789454356364194,0.7178196159955209,0.7315857911231339,0.7692105728017403,0.7122056910242418,0.6675007069458413,0.47308952375109065,0.5235850645037804,0.5442529882145807,0.6660820306605704,0.46071096047639065,0.8253060287914288,0.614122731686314,0.6053474001666728,0.8375038651698195,0.4436120311539432,0.48838306027445655,0.533791655222464,0.6528114217627038,0.912278138049536,1.0670443485096994,1.0195061152897156,0.8559107010659526,0.8639757581644278,1.0802699457404776,0.9393428688853922,0.7670959610998568,1.0318911500689798,1.116152068373242,0.8553285958303207,0.9638165361354519,1.2177110210456483,1.1683366041793093,0.9730438927479027,1.049124061373429,0.8417303385007555,0.8440949591388368,0.7331383087619042,0.7151906835780893,0.7214028597645955,0.5964782104139387,0.5794705306771262,0.5472799268646883,0.551564167261582,0.4835222884474526,0.5142540005033721,0.6839642873606764,0.5981812856474577,0.5705217299512093,0.603859723530967,1.035089731714646,0.7956566169395537,0.787075705742647,0.9341339115538522,1.2226110983479912,1.0667132288272378,0.8804540618868858,0.6993749575795227,0.5861487326485553,0.9174692879626128,0.8662671190355486,0.972610874918082,1.0150669568606883,0.7059044117859858,0.4867359538501057,0.3829556659444343,0.4077747763999395,0.3923996034893506,0.4319890780546861,0.5711901706131003,1.6569771391350696,0.4471964829343561,0.5177744395649009,0.6242344543909425,0.8069880299349289,0.5024274051449512,0.5899788240519169,0.9019184543465473,1.360148211209989,2.255045706491711,3.0126318630818605],[0.5801702591376883,0.4330611356081112,0.4649315122796577,0.399197554907526,0.4023257898846267,0.4100369659112608,0.33736040909716714,0.4144190329708922,0.34874797893295806,0.3285254477194337,0.3560847751104148,0.46317190918101414,0.37920057394714074,0.36452446848674946,0.49104273473143567,0.44987821945036965,0.4640736093203735,0.5126428825838821,0.5820859756417148,0.5623595268105084,0.567159469713681,0.6251384819042871,0.7180726202705159,0.8550223550887719,0.6018703576623733,0.6073246951828514,0.5160510949432439,0.4513992270412195,0.4792787088790109,0.45989226815444434,0.5361498089545339,0.5510974470963595,0.6057808164310039,0.5978560307953692,0.5118404924373923,0.49764034892926795,0.4816778513745021,0.4737001980854351,0.430794109846957,0.4033230195834151,0.7316061913491368,0.5578898975762736,0.507783455079994,0.6786819858869845,1.7399046966974856,2.4398338703432754,2.442801698046442,0.9179435241281224,1.01880821992163,1.577812490717106,0.9165844292165526,1.7260618640373784,1.1523449873040488,0.866669814313492,1.9646779735109314,1.0587273328995577,1.5460278564464047,0.9301126788439152,1.2535313768125806,0.8789111292156258,0.8931059731767054,0.6969895108026152,0.6415665075780072,0.8727059180390128,0.6045186359758115,0.5574301417508654,0.7979613099480888,0.6218236351132455,0.7688587731097577,0.6581724997350348,0.9421233301388269,1.3210087791837741,0.8843696746911743,1.0147509004013553,0.6291613693116491,1.2546136556984855,0.5883890406213561,0.6027034273207476,0.5446310702000742,0.5623073279365621,0.5752767549436018,0.5361997924721571,0.989210117108351,0.507260528945572,0.5849342878655304,0.4770994605004509,0.4817570632999691,0.6085467348584984,0.4999074160575408,0.6026418806417954,0.5794404401975101,0.7665988179461538,0.672854839601398,0.6154195498978509,0.5729424924841839,0.6324702244624004,0.6263197663289696,0.5803388538300289,0.58661817487218,0.8471750310130309,0.5721532407086835,0.7295051360956608,0.5568007641836116,0.6817035632214157,0.6338762120152527,0.5634641340364788,0.7856772798129491,0.5504051605406165,0.5671933406827288,0.6453551498807266,0.46842812274931017,0.39973060466894783,0.35271756349245065,0.38720066881149445,0.370360764620155,0.3759685488360105,0.4324767988153274,0.3927044068948248,0.5264412898663208,0.5146049401173388,0.4533936688976281,0.4083465821393294,0.3951690543133619,0.3512654082174754,0.36712153752134036,0.3615956703959873,0.42144714470029154,0.4186070180816948,0.39857015442154753,0.5279444170481464,0.4858434248958023,0.554772814469852,0.46313840887708563,0.6558135476510412,0.474113693932866,0.516576261092032,0.973920214388895,0.4139038201412767,1.1427679173503187,0.44540913881799776,0.4441042563838867,0.5733610736497379,0.5558829074444679,0.41114758081866,0.3945343594905951,0.4084101286796918,0.3546159422356625,0.3987908579872942,0.41865625201627066,0.47301070684310836,0.5299718519333473,0.6025055088094707,0.9557135110697904,1.6613573348079338,1.1423752479012848,0.715573719461277,0.5418931165376493,0.6033813776554212,0.510199855380856,0.5628112521610854,0.4360822978376606,0.39908186653025784,0.3514347661845532,0.35836370494795855,0.41023029037079345,0.5498002422682994,0.5654428942535585,0.7875481496825039,1.098021879077203,0.9902450852343624,0.723861399343227,0.47575125012448743,0.4122160627285651,0.4009186853628373,0.42405345985110116,0.5011322170345642,0.517054132695801,0.7358340412191257,0.5161774328916849,0.586140588806762,0.6490444602112108,0.46042677544247745,0.4635714365093523,0.4711479928568415,0.46590652780730785,0.5136330626496883,0.6272936193385324,0.736508417571861,1.3776374949590315,0.801621433729501,0.9331748693786134,1.6588066799062362,0.9027487869721,0.8675484003703634,0.6101394636945255,0.5255541136083726,0.6409651342137429,0.4614312879645158,0.4424650058748308,0.5222045150085428,0.49125192964870407,0.5467044192730957,0.47658231849599775,0.4756880108205219,0.5966288108731084,0.5970223413733151,0.5901934286693303,0.63210255658583,0.7944070144985274,0.6708140480416971,0.6996120783745167,0.817363291091767,0.8585157106828322,0.8803919516283712,0.8916224725987024,0.8729779206725388,1.106177179689142,0.9305616739823821,0.7465993254050969,0.8723964043681874,0.8769355469151854,1.9449066538618447,1.11388792857457,1.6527197407205452,0.8422128558645834,0.8662486147182553,0.9031738394043083,0.8457258773999746,0.8184790874883604,0.623322891097522,0.6921403754850104,0.6434270685228027,0.7308495229562246,0.5778754386564187,0.8775067645390469,0.6512941596979188,0.7086394698909761,0.810322020715779,0.5137943394330615,0.5416935011239385,0.6213345729242283,0.783398737432081,0.9953429972751492,1.2132148513114165,1.0947253874038483,0.9458696825662131,0.9914491985379467,1.187498875469044,1.0309138701155176,0.8813542812987508,1.1413454135658743,1.2100522172078667,0.9423854523825916,1.0901581569102066,1.3356510663957273,1.2572632022688333,1.0734684302424133,1.1758532868441738,0.9710829244464275,0.9921071113841468,0.8762886698706087,0.8626590142012946,0.8633735425878561,0.7294552353569692,0.7164950088528896,0.6867930808010014,0.6672276177982271,0.5966562742315541,0.6372952236975811,0.7579050651564379,0.6707168682219611,0.638332325812593,0.6762268182611282,1.1123273501259139,0.8484301511569404,0.8567268218297798,0.974975691274201,1.2331114990626475,1.1914206442954778,0.9727551923047362,0.7668361913064646,0.6805498499010345,1.0603799757130283,0.9759938519250829,1.0462234889516602,1.040437711302267,0.7827839943384289,0.5172584069695569,0.41913457707475016,0.42645397046216127,0.4505299782487232,0.5136563618216317,0.6328081302412789,1.6911852358124322,0.5044512530752154,0.5682221372315065,0.6692173935785637,0.8622513312344293,0.5451754788580577,0.6465182758539242,0.8538303647101131,1.3049862520871902,2.2804589279339824,2.914804313941819],[0.5029992585484119,0.35248381555759206,0.3969088629263884,0.3316906508963017,0.3848332407940165,0.34162331069538,0.2837976712960651,0.39722938873138064,0.332674359603905,0.3166649832878498,0.33911317384008866,0.4418905753122845,0.3587103001252559,0.3384075410122363,0.48416838722144956,0.43511833454192544,0.4465945640437795,0.48004430503304935,0.5280372093068787,0.5223612914113427,0.5151107125259102,0.5925927384423202,0.6528615196714581,0.7843390085819616,0.533021141382826,0.5374629048082773,0.4662911948370596,0.4183649383043482,0.4556499566261652,0.451232121159504,0.5033316562717086,0.5434432132021924,0.6003315154685372,0.5918410679313021,0.49902386818677985,0.4807878879372187,0.4737000162995283,0.44885551738051854,0.4124808150255936,0.38174558302551925,0.7108818652113197,0.5203915492502135,0.46223116900816674,0.6667511009399579,1.7449680675986452,2.4684036280647184,2.5161803138921424,0.9471792987041834,1.0403118277854728,1.6378734325764117,0.9252910464890584,1.7611420301850138,1.1534128162728938,0.8750715884534882,2.0704693902603757,0.9935780020170409,1.4880352317089354,0.9469541911309041,1.2869493816633844,0.865199041241137,0.8831885909514067,0.6975664744122504,0.6038756693293124,0.8045428405906485,0.5482580207278982,0.5231119200835466,0.7545706162649672,0.580739538104408,0.7263997992020053,0.6108688831799607,0.9198852062157685,1.273209366091334,0.8342049192045364,0.9452776041220174,0.5760432968789435,1.1858506018359911,0.5370160113460165,0.5596833280999395,0.5170192771783997,0.5232440061666039,0.561381834935066,0.5328214512167191,0.9478435182709551,0.4839429881998871,0.5449435200296949,0.4737255150662724,0.4730072753148485,0.5981378820573604,0.4685643425004091,0.5800350459037542,0.5395380568746228,0.7180989354701004,0.6256530433175767,0.5954937849178594,0.5596395413973744,0.6190590938718595,0.6224044705757994,0.5766321613585706,0.5789348721842246,0.8532533005977118,0.5750146988291533,0.7248892781235543,0.5384912013391691,0.6519549385539277,0.6068894299957643,0.5695156048253217,0.793713345289296,0.5553395712247128,0.5747249991697706,0.6378467149780689,0.4770785960911273,0.35282593608209345,0.32135423185102335,0.3495802964106286,0.3540468276497223,0.33797736366594067,0.4182120804801755,0.3773812883620809,0.4920067951577709,0.48676055023029524,0.4340848288948716,0.3783760209382765,0.3858796994652198,0.3241906367594982,0.33129973198919305,0.32695184411646194,0.35782576712588604,0.3665294428665079,0.36263709195540267,0.4791320742968615,0.43353497776459077,0.49890278261365406,0.42592235841933324,0.6046053100842587,0.4401265553128294,0.5109419046292837,1.0198284476685144,0.41500052320791303,1.0664013094579334,0.47812506820045647,0.4408837209811239,0.5477113131539817,0.524332707798656,0.4079630161921293,0.3763493747842538,0.4045049238433627,0.3440006509928934,0.3900422317245031,0.3771298843310842,0.4409879260517394,0.5045334175550994,0.5615649277874935,0.9130505526280801,1.5777648422966488,1.0908508426910304,0.6875696412510054,0.5221155376653499,0.5735472168088278,0.4860251414520106,0.5283446975215206,0.41007385665262663,0.3807863507245579,0.3514938489851348,0.3249062478443866,0.38833927301671595,0.5965538082389081,0.5766535058702155,0.8475557499070874,1.1483631228895659,1.007989597683406,0.7399811128667192,0.49990125098790256,0.40561631158026107,0.38530396611734113,0.3983705409300964,0.47280468975730644,0.48910375568796194,0.7325004230532312,0.4725409132866809,0.5475977308933483,0.6765601989225191,0.4218007474838698,0.4205578824722562,0.4300789484379953,0.4378622603884912,0.5040537414954948,0.6483691571700138,0.7333816978176071,1.460495241522253,0.8546791270225221,0.9247325542243927,1.571159195724183,0.8901787073002554,0.8772953550549824,0.580298475810242,0.4743460760216899,0.5899436910063401,0.3976869448961059,0.38942353482070824,0.4275865753600454,0.41317254897285005,0.46268111852785665,0.3770475208881219,0.39950797639280367,0.5313699351877362,0.5205030966162641,0.5167794848421741,0.5688354846026722,0.7471189864988429,0.6024203376812618,0.6454621189072918,0.7717914690816686,0.8127241971381868,0.827771297895301,0.8488113991210231,0.8513242005942908,1.0641489261403245,0.9293443698552182,0.7264327486573702,0.8462393708633662,0.8712575413450119,1.9231021861879645,1.1482832971984136,1.659983795285495,0.8108065880561108,0.8230250220543207,0.875436309556644,0.7903111364735653,0.7665313316443358,0.5924665019509331,0.6646027182200978,0.6240030502503743,0.7517331836878707,0.5776649963219825,0.8160245258194824,0.6287310417114463,0.6446246859059188,0.7529382412260777,0.45372851923157587,0.47904389829191313,0.5772261379383669,0.7533238793136141,0.9561731589160116,1.210342834313098,1.0645734498121615,0.9257419959602989,0.9643259943992067,1.1453669356732168,1.013535994790873,0.8398679648803732,1.1236237672927012,1.1969391507703033,0.9100643259135892,1.0570094302052537,1.311027626792339,1.243733850336853,1.0439049472894182,1.150047118335381,0.9371384285382385,0.9566650212196479,0.840401695941666,0.8288889071944793,0.8328076415177275,0.6895345064279892,0.6832192845863553,0.6614987497461506,0.641977037778886,0.557563027048923,0.6128790500651947,0.7470193442537637,0.648524028237294,0.590945451420642,0.6845322948453124,1.0959125221920576,0.8287260537292632,0.852933172097872,0.9731294610856637,1.2231579955299487,1.1971394701537756,0.9778150095792703,0.7587839631539459,0.6505320153967149,1.0735661740922933,0.9727082893799441,1.0412713008309054,1.0178336868718172,0.7396627104770632,0.4817082298787582,0.36490661777847083,0.3872138498462282,0.3946783825017704,0.4297661761249531,0.556262258349047,1.576963791419842,0.4472029494741812,0.4840434762185492,0.6016722454111887,0.8813004570385305,0.4464950558059879,0.5601098991989519,0.765861029946328,1.2709577159851635,2.2776509788807977,2.839777487536867],[0.5021489277744439,0.4274492021958727,0.4785687339602918,0.3800210435187459,0.45747456278129556,0.3817458547157848,0.32223862700824946,0.42706970008458117,0.36678765301261773,0.3500318559225932,0.3616330505283529,0.4549995821183768,0.3825411347892923,0.36415761108221945,0.49794415263019304,0.4475346058862035,0.4688327974487197,0.5075075283006425,0.5601488000086292,0.5481071795495495,0.5567229308066686,0.6323720524415417,0.688401879054097,0.8790609442752464,0.5534269884547648,0.5703309324147146,0.4891620303467535,0.442447350720659,0.47274362042653195,0.46247925847812105,0.5194490624622482,0.5473460469195729,0.6152884977849852,0.6055937454696,0.5095794900489043,0.49683723138882596,0.48145112215428626,0.45618691432235187,0.4317442382992291,0.40419118882053684,0.7304829333176689,0.5556325859700294,0.5053778115735271,0.7735689601947935,1.9137071436934223,2.6236740819767816,2.7455098312326633,1.1250232250087397,1.1229700649247394,1.7853134507209611,0.9870905752911416,1.7332378079093504,1.1326352203852628,0.9720640197314595,2.1249787125996757,0.9401874331251145,1.4009214748104761,1.024259208195039,1.3051587678816652,0.9358350790627035,0.9481348842531272,0.7277839865070664,0.6248317649282144,0.8260438103329887,0.5916295338563532,0.5569323591798377,0.7749308632726206,0.6101364108663772,0.7645821306940016,0.6420239255389862,0.9280349853455125,1.2635965087368368,0.840710318066044,1.0006775821605065,0.6060465726723749,1.2076240589339138,0.5693331911996995,0.5821691851709764,0.5253342256508571,0.5389042729206336,0.5635722055940524,0.538723868806537,0.9376171152956472,0.4931967928452797,0.5528629985127398,0.4808207151165615,0.4820404723152027,0.605279246202347,0.4869817276275374,0.5895388234339082,0.5667383579549848,0.7573177589601301,0.6563896735806635,0.61838061917141,0.5766146823895734,0.6378769423067173,0.6167280417501576,0.592904466830101,0.59537807088735,0.869425108625845,0.5954477279729505,0.7422324853633917,0.5516574422886888,0.6708839519712381,0.624548016908546,0.5971538750765444,0.8353122894788689,0.6066890215669698,0.6220298501654523,0.7033112844460383,0.5463152371643477,0.38825931048612133,0.3544925628400346,0.3581490986736191,0.3795162736119345,0.34975957832550414,0.4488244852117375,0.4614828032536602,0.5390365378622923,0.5050466619714186,0.4801558178169621,0.42073448751307535,0.4536740639365451,0.357487257452964,0.357021843592515,0.3613356530291866,0.3875732643347257,0.4049561877796652,0.42324968551695213,0.5205578041498811,0.4537247256849477,0.5245756685097166,0.4526136981531924,0.6192159785824362,0.46168258943570484,0.5450631710466182,1.0048098920326314,0.4584184315763874,1.0308263252357404,0.5581379136690559,0.5045210326375027,0.599848759786998,0.5642883066405628,0.46039068827822704,0.410332233932425,0.4333138072320426,0.36586591178426847,0.41394046357662634,0.3916916865246227,0.4575533796121295,0.5236652220708081,0.5876990561697517,0.9390823059831365,1.560518811191748,1.098093609937432,0.7143004729485138,0.542585521987239,0.5922630743946843,0.49816094264546174,0.5365986661719155,0.43497604636774223,0.3975606928156057,0.39738135393287155,0.3505480182765956,0.4139747371518776,0.6890271059863666,0.6248259443383555,0.9298681548204122,1.2130804134009832,1.0374868975773053,0.7635566716180977,0.5544387624267504,0.4426072088024122,0.4201642485361451,0.4121842060043166,0.46907890693329984,0.49235144992027535,0.7253581230012003,0.4692886516038174,0.5286809857526841,0.7148941669056392,0.45410470749068527,0.45627689015755696,0.4475582945049499,0.45011441629760396,0.49935493133201286,0.6585964150395502,0.7465131418280943,1.5043417966323887,0.9041070282949204,0.9965183414611004,1.5853758181843243,0.9384227801332096,0.9411468261848723,0.61806869387179,0.5238522779325508,0.6060125816075072,0.4440514694463156,0.45875697583840813,0.47570595226439916,0.5144573234983165,0.5534605185579967,0.459790039487553,0.4916574601675056,0.6419304088623711,0.6265415101161651,0.5637634161310819,0.6664699270108367,0.8759473724201308,0.6995790824402502,0.7267127404938162,0.8962489689719018,0.9417633892696243,0.8493114001889625,0.9297212626769948,0.8981999662327713,1.1929241022890393,1.0094682049706636,0.8338723657284711,0.9848096535657264,1.0267761613623076,1.8753128633590352,1.3386356790895997,1.736361620840071,0.9278518998906109,0.920897173250253,0.9786549055176837,0.8718538182579975,0.8514563318810728,0.6974059794590407,0.7610111096682655,0.7228051297368102,0.8542259763519623,0.6819850149676251,0.8422821263644211,0.7339867667480998,0.6982943164735003,0.7708468972105093,0.5266346078337772,0.5512151674964916,0.6453039377699303,0.8307577581720441,1.0227746178780637,1.3265222368470855,1.132985161636418,1.0075941547809433,1.0807904518440459,1.235600911997483,1.0969985323280815,0.9606145964563108,1.260034131339224,1.327276859728906,1.0448968882452199,1.208627264044432,1.4657362069603501,1.413343533340764,1.1935651639797924,1.3186888825687606,1.0937930203788375,1.1170977648666036,0.9839702870571317,0.9674726775751242,0.9870021386874346,0.8187901966131924,0.799433764406823,0.7981722038830691,0.7739141192218209,0.6699291699078221,0.7446176207571076,0.8665241208421158,0.7371319154641632,0.6807745959451713,0.806095953387915,1.1657269393245633,0.9038593356696363,0.9001207850903032,1.066211456222787,1.22648856782829,1.2910151832950931,1.0106408791091137,0.7909753941506725,0.6756850795433887,1.0576743975292349,0.9899087074458316,1.0865124985484893,1.027782137444021,0.7652479395246278,0.5066484253547955,0.41463430256326417,0.44908690337764606,0.46316648319144643,0.4960113685932731,0.6235769800558071,1.533013880056394,0.5268834142858845,0.5597569884280666,0.6497805640227119,0.9357227019052856,0.5079877352726855,0.6008968081010564,0.7289816206549289,1.261177464645926,2.280001626190169,2.9302752130300562],[0.7563157143728326,0.6260314916648536,0.7048131775350849,0.6961879326244385,0.7437416258005131,0.6712713229489418,0.6545701511746774,0.6833032013010041,0.6593514255997871,0.674000431148396,0.645554674637923,0.6721711126781672,0.6654038186631487,0.6734673530358978,0.6882887488895317,0.6610612248287531,0.7344546026188281,0.6890875469835201,0.7377314624464599,0.6918601476921278,0.7737854594617575,0.9381683573411466,0.8684044002589759,1.0257111115062103,0.778923360648297,0.828177762419132,0.7348258006317613,0.6995677721781506,0.6952479954575499,0.683811006444082,0.6977776651296638,0.7290846377095447,0.7374695150060381,0.720949677986085,0.7012590681506372,0.6884960137214757,0.7018925590984084,0.6636283848363099,0.6782116462261886,0.6732340974931434,1.1100961056093002,0.7060087153482286,0.6994501224593692,0.8330008972885607,1.579457050100567,2.272184269564851,2.3249482388984712,1.0130507987942783,1.086218266697324,1.61099933467458,1.051668894900038,1.9040780256938947,1.2606233064293195,0.8205506303295386,2.0079702196035627,1.2154545432493966,1.7661808632715712,0.9410224914855141,1.3972641831351513,0.960980179699818,0.9196710329124294,0.8076414004071824,0.7525123989439687,0.850565248860259,0.7288947784727996,0.712195720092911,0.8169931576761759,0.6868669819801713,0.8530531901555346,0.7523498230694227,0.9846226747945049,1.3257937787991467,0.952246374797231,0.9873714144003488,0.731714784094064,1.3113200304405974,0.7011126309666637,0.7117476586446373,0.7080352713519869,0.7439780349138454,0.7833866037693448,0.760063948835687,0.9573172051546573,0.6779487907861542,0.8020171706064697,0.7032416886039882,0.7062297426749687,0.7885726489154595,0.6747436933276891,0.7347225579965487,0.6725524192792421,0.8516061745436582,0.7270116113621128,0.6995671968274911,0.6877215225613831,0.6907234145153228,0.7711634317555766,0.6990231191669649,0.7376589201558941,0.975694862005697,0.7690869464507223,0.9063170903149499,0.7607958209216263,0.8833785190574591,0.8249842876697714,0.7445837121156675,0.9459657222244571,0.7458789560354054,0.7680091356283972,0.8040523394287246,0.7142032426900964,0.6666936479587777,0.6476168303620966,0.6863405983710144,0.6924541952615142,0.7250387740702106,0.7526915196012894,0.7241037039131535,0.8349382672146718,0.8101007463462635,0.7769831396405418,0.7691956375387644,0.7439634095812846,0.7114382337399217,0.7163745275718995,0.7215535342994143,0.6592375828167683,0.7136866392961055,0.7103910086256062,0.7636715295584648,0.6955898948344664,0.7809330432198469,0.7114702059926211,0.8251373329075017,0.713964253259825,0.7190914513342535,1.1375431972509675,0.7138594110671014,1.1876692918363914,0.8248465394093841,0.7824608052251897,0.8124787785421328,0.7981046118897803,0.7479404032669492,0.7026277894147963,0.6840358655210297,0.6851376875137902,0.6758644280089503,0.7095609193359524,0.7319389284505733,0.7145523777400202,0.7488991955603036,1.0742582001274603,1.5494550449137139,1.1274246397942573,0.8523056819849094,0.741835550265272,0.7845092876645153,0.7340588417007498,0.8052806468807667,0.745875925096834,0.6817114250225146,0.6752582755840321,0.6739229644891224,0.7174523136088615,0.8253536379812128,0.8462246626163545,1.0893320403960214,1.3691363131274288,1.1975175210737392,0.9796915598698147,0.7696107825271641,0.7216883946124396,0.7060746540468015,0.7145283693547217,0.7074453968741863,0.6829390272759837,0.9030922455184169,0.6895868110468907,0.7649108564830883,0.7847538680430933,0.7243636339212521,0.7558867225804604,0.7880632392287095,0.7875906711266228,0.760448680844777,0.7882121477675614,0.8950072981328452,1.5963391692062816,1.0354137176298934,1.0876111286101573,1.6253815652463992,1.0091572317189048,1.0181589306541894,0.797239057411538,0.7224999136659646,0.7270215705545204,0.6343376144979932,0.655408843377212,0.7082511018350781,0.6886059371411799,0.7298099090423853,0.6852252709124331,0.639730205406466,0.7501919156230092,0.7421990833463161,0.6842394906608208,0.7280996741534428,0.9114021399233904,0.741572584685721,0.7382103513710309,0.8678267478261983,0.9085363641167219,0.8553882896729309,0.8830202273009007,0.8652635178833763,1.1220772638904348,0.9367749836924355,0.791003183314915,0.9504240274645298,1.006906170848141,2.04203573243979,1.2723611719423482,1.6778995739530331,0.9606657357566487,0.9943052925605317,1.0635547524869065,0.9888337998007621,0.9758776832561511,0.8237048591238815,0.8887086712510064,0.840540362266245,0.9408545818777555,0.807619429590945,0.9816047345041868,0.8404370466247233,0.8189857377919757,0.858319042494741,0.6850065947163502,0.7449845600734518,0.8222032453922331,0.9575054902454656,1.1443209764005227,1.4291501484671634,1.247537485679492,1.131092496865542,1.1866370787395917,1.337583349119325,1.1937779936800854,1.0452457484087643,1.3152830431262321,1.3732318943272683,1.078207522647907,1.2421161021495037,1.48410898714061,1.4086120182949269,1.1870716693149193,1.3190270890309719,1.1032290543207997,1.150590206650745,1.0521385132276082,1.0317918538595805,1.0086994970917074,0.8664463243377264,0.8730001005392696,0.8322026497294388,0.7884749492738188,0.728255113929019,0.7783079630129291,0.8595495619910416,0.7630010216237387,0.7412970502771334,0.8354342905723308,1.1863767335986264,0.8787201198315316,0.933393725908845,1.0434505049682883,1.2498128688951693,1.2619502433451635,1.0663900254218526,0.831995014759546,0.7920409181922732,1.241900884571121,1.1312637077027747,1.1818016425533109,1.1450703435194307,0.87282077304152,0.7572236482098201,0.656483461500555,0.7381350861273508,0.7284729909401284,0.688214889122548,0.7544993494639567,1.5533807044532029,0.6949422769890525,0.6665860296909211,0.7365183827432296,1.0812546529042455,0.6651516469555552,0.7250614795577088,0.8149599217805078,1.336050180709135,2.374729576259084,3.071510672755307],[0.7089195905316001,0.5204642635517205,0.5662821723746743,0.4808426346316365,0.5882405023315951,0.6345064368282316,0.6089306987728936,0.7134435691100914,0.6641748671841424,0.6713907375299112,0.6957811822716378,0.7327772527357368,0.7073440061618749,0.6892699474695191,0.7973491396406844,0.753383831025524,0.7266186668697459,0.7975602504726382,0.791457123502262,0.8222479729319905,0.7944195959193486,0.7855218885120147,0.8910731681404451,0.8897928162787673,0.8002382819597224,0.7736189062241499,0.7267656531750104,0.7342485228959302,0.7673497265201225,0.7522838074793993,0.7948956197846404,0.8277667801507043,0.8713392258897894,0.880747517443027,0.7833986925826163,0.7966526264362982,0.7836325141027155,0.7663925891936095,0.6977919411655316,0.6855927325186651,0.9329908934601086,0.7847146750919559,0.7565977375622446,0.7848163828786558,1.670411179919311,2.426258818616795,2.3678725186217764,1.0352392263108952,1.3125244458800613,1.7554745346703815,1.3222139712595273,2.199926425086085,1.5880597247989803,1.106511365876804,1.9418512501239682,1.1826823966425517,1.9064915167940912,0.9959239071930045,1.287326752487228,1.0208643988329713,1.0777455992183465,1.000269103746705,0.929054097451737,1.1323051174161698,0.8682465579397339,0.8462271827631883,1.0872771190406971,0.9222314168390956,1.0131810971022477,0.9246101536331075,1.203670431568947,1.5198390082631867,1.054132055987894,1.0727134395943276,0.877110267319553,1.2481042137338811,0.8778929209309747,0.8902588937964934,0.8392004913383295,0.8071959426225257,0.7926814836952143,0.9135770851940397,1.1486319093715358,0.7629842420304521,0.7780065508967439,0.8206636856224626,0.8092991323397953,0.8553891839882084,0.7933852641267692,0.8729884878157991,0.855068145759128,0.9181562272968578,0.8942132923938632,0.8557867885225925,0.8371394324346352,0.8916406432610892,0.8846766550096344,0.85351761108599,0.8450029613808928,1.0289560421118216,0.8564300260725141,0.9598686197224836,0.8301353610748936,0.9047731584584758,0.8436322796140557,0.8325808213163046,1.0067728321459664,0.7831913974586777,0.7879710648069225,0.8305424535844016,0.7364922447619978,0.6678821274606048,0.652129723044082,0.6504797129648804,0.6678079081490991,0.6231600359970806,0.6938644579798544,0.6114704622261543,0.7020584009522358,0.7249894253043456,0.686074488853025,0.6483021810485416,0.6325740951895304,0.6129978248006862,0.6304064282412023,0.6130913432202695,0.6673939588020831,0.6864474983396422,0.6476196148930461,0.7343818227994152,0.6796896196887121,0.740787762453431,0.6978996540512843,0.8661236143264764,0.7123494824369229,0.7698190178449877,1.206905432552534,0.6583714649689725,1.1120670425346029,0.6770960918144027,0.6272506562427945,0.7243904395409697,0.7218894687584565,0.6374447354919486,0.6566011149130607,0.6989252862963351,0.6535602465865018,0.7313781939535944,0.7217770616485581,0.736661606785521,0.7947713089626688,0.7982753282893852,1.1003972874086365,1.5677246242171905,1.154253295827462,0.9104942409454473,0.8122607491402426,0.8391142032374517,0.787086742507742,0.8330475328500986,0.7331969664359101,0.7275329212351506,0.6645763580016336,0.6675356670796657,0.7087145634012577,0.7401218733318526,0.797125555537978,0.9554545681940653,1.2290629184287414,1.1007422297878608,0.8982724616521808,0.7123747264951599,0.7381882395291419,0.7522710109932748,0.7729299755673229,0.7783624846479718,0.8201513140830637,1.0070179579208143,0.8240754780392082,0.8162936577466215,0.8851234910774478,0.7339002330166273,0.7251906546812985,0.743598516562809,0.7674780191852698,0.869519294720866,1.0112077847377798,1.0734374487291096,1.6897067649198239,1.149863615227824,1.018762981227151,1.5592127704272214,0.9797543941192866,1.0056702076449893,0.7787147013127226,0.7035010367577225,0.7340029440599399,0.5932070009742242,0.5903471510782512,0.6473277456050273,0.6167809172771491,0.6565095832897769,0.6116961402645691,0.5879060591314301,0.6872907380190941,0.6651435264662043,0.6454216658709269,0.673090930725471,0.8353362505281693,0.675023106970776,0.7106923238681475,0.820582747152723,0.8233917529275042,0.8809561806842913,0.8805730265474541,0.8663166211662061,1.0750156552805983,0.9258700645714387,0.7599790696930914,0.9072282635439975,0.9650221083697723,2.171434859785743,1.2106758770925667,1.664890332935829,0.9294372385626536,0.9730761054712866,1.0065042657336252,0.9666035249733251,0.9190528909291182,0.7699338681455008,0.8532320922035814,0.8087433803950725,0.9160049107799226,0.7850394211775724,1.0217008440181892,0.7480122856319064,0.7390661688544085,0.817528761961206,0.6313841027672594,0.6903755877674284,0.7641675735313253,0.9256595311133557,1.092279909074493,1.3879524977886921,1.2135250306415761,1.0448008366245711,1.1169699076193582,1.3065675448720981,1.1255069464488463,0.9590134071896812,1.2392285026113092,1.2805217909792304,0.969704951842717,1.1657455690959218,1.4144098710752033,1.279586260981042,1.1004448721484739,1.2445820564570318,1.0302446563876986,1.088013499753995,1.0000563407008844,0.9919149170602676,0.9463802143819497,0.8056064584063539,0.8290870399975332,0.7864059766996553,0.7433654133357087,0.6719436014653032,0.7373177033791171,0.8070904918483999,0.7060643875849995,0.6545680877558044,0.7776965894249537,1.1103403704951855,0.835072248505361,0.8846640057313019,1.0048292932660332,1.2275852900782371,1.2463622947059472,1.032407804223854,0.8094426246756892,0.7765303262071134,1.2068138720138253,1.0723877401265174,1.1106330448198372,1.0689728904267521,0.8324807108324089,0.6835553634923061,0.6057162115953902,0.5682379361842942,0.6208704889447118,0.6537497573136363,0.7245149897007819,1.6772225205931366,0.6555683009550529,0.6103864983248629,0.7339891856342963,1.015087355475117,0.566596199629066,0.718737940991771,0.8458217072286199,1.389506810410058,2.3545156393491147,2.9964165756002408],[0.8536545897769575,0.6165453097929771,0.6398288021375558,0.46829205226299087,0.5593103080372932,0.552164796180564,0.5279195481103857,0.6727778273189491,0.6197087550830993,0.6376618964750983,0.6933168774381716,0.7346963075874093,0.6877714364038957,0.6925933687341128,0.8077623165912776,0.7636851715704852,0.7319756625418816,0.8118614293604084,0.8184122091405244,0.8288144354282136,0.8151625906403165,0.787638744249412,0.9185269571147231,0.9031726549111371,0.7954336697491532,0.7668486428529211,0.6998385942640316,0.695813976307867,0.75032163146142,0.7397664535899225,0.8371661157036967,0.856475124818708,0.9141203406131226,0.9332572792575758,0.8104385045540521,0.8089536456996264,0.7787530255876343,0.7460439618019636,0.6553102021914943,0.6418203067249532,0.8613870543583999,0.770012816263603,0.7436158206796788,0.7765602098406785,1.6965590324656614,2.4366575814654263,2.412308423907493,1.0302511577612967,1.2604450758170442,1.7275884695872625,1.2701630740933807,2.1444943032207013,1.544594501307953,1.0583198647159278,1.9409139177883807,1.175780499823794,1.8833006321816494,0.9935028787471601,1.2842031511973666,1.0267701896003878,1.107512473275352,1.0432179279354792,0.9755923982780618,1.2093760690140518,0.9131324300156645,0.8872719404923621,1.1600312958705372,0.9672804595387192,1.0633061793040761,0.9914277277907505,1.2665450658766257,1.598059088087576,1.1436092153460933,1.169709905956456,0.9654391150846351,1.3142460386570685,0.9383093313602872,0.9622451939568579,0.8819531628014404,0.8291515490172038,0.7992305914526577,0.8879607028568506,1.1217737818130422,0.7243458242867938,0.748749930056921,0.7840052307537815,0.7926953600963501,0.8509974879776828,0.8135317948407556,0.9162523776169708,0.920299663372343,1.0078431656552924,0.9925252103895343,0.9362802175167569,0.8924523054286497,0.9727382593777041,0.9272843969776661,0.8953105589227656,0.8726276224386894,1.062966663076964,0.8702076758785918,0.9711149408136586,0.8307012834841112,0.9071222098067552,0.8360484871637996,0.8002480530990244,0.9911712805278525,0.7740398682482457,0.7813038765019384,0.7948281850200923,0.7136127231129539,0.6075419127757213,0.5895315890227172,0.5833688315532825,0.6153801149705915,0.5728862127130507,0.6414036015722463,0.5904411918430197,0.7296745901663523,0.7360317527685618,0.7021357390808908,0.6395673545327518,0.6186741313955384,0.573270236206793,0.5557544537172063,0.5216854045594201,0.5871261433879268,0.6157391561794842,0.5914939940548797,0.6830212874168826,0.6057337565468401,0.7018009857914772,0.6233613829952779,0.813469355471896,0.6335848458090382,0.6898338802244014,1.1399912219015313,0.5940320434201452,1.1113618355289052,0.6383357797040629,0.6164126548693128,0.7054241323362509,0.6687693944414085,0.586403779882012,0.5927497171466386,0.6439447255620221,0.5971482071868456,0.6849758675332887,0.6729018352247443,0.6928605650174435,0.7646433203963198,0.7807192057636223,1.1326849607176914,1.5861164795463456,1.1736894264273805,0.9317496808339343,0.8060156870435989,0.8335587221309765,0.7716838561982489,0.8059198184668405,0.6789005970264976,0.6781863458855365,0.5978818175245494,0.6132372862777576,0.6429134416720178,0.6857354399357212,0.741998926520161,0.9433095740380044,1.225484291313992,1.0875381809349196,0.8569322029965819,0.6447494473205769,0.6643519591166737,0.6854762730797799,0.7248882567134979,0.7502268083326377,0.7975207941421388,1.0063753191436824,0.7954878532657772,0.8028867189326869,0.8273184533620936,0.691772601273983,0.6804044586311583,0.6925326635570261,0.7083075144213965,0.7951209627743745,0.9464221267321886,1.0000608710883059,1.6494278648785656,1.082875944435659,1.0007704211014932,1.5369055471094133,0.9390813489256445,0.9644810193976358,0.6933044458172997,0.6368161736371073,0.666832412707312,0.5648701057859254,0.5958798285691606,0.6649260881491204,0.6971827952950528,0.7516659613295165,0.6686319941677037,0.6467691386088623,0.7816970239328366,0.7493061152570246,0.6794488583028201,0.7495427646361815,0.9510455135719518,0.7522877722586726,0.7837397206185382,0.9276465371106353,0.9204923473455126,0.8968367173504419,0.9436999938171888,0.9038005190909012,1.139694046453296,0.9492467316699353,0.8322686615327385,1.0184811069648247,1.0917180087567517,2.2843713288412055,1.286097058134461,1.6211107565832938,1.067269973703297,1.140137665276484,1.1503155575558621,1.125431336224736,1.107932524410848,0.8831024042361665,0.9348249950348407,0.8812974713789362,0.9355485312820507,0.8108318566435523,1.0399958720468034,0.8198348142544518,0.8264684545426643,0.8287367381889468,0.6708484729127716,0.7308980941427208,0.8514234372151805,1.0100257572848788,1.1933914170432307,1.5262240540214076,1.3213704578821712,1.1521097602849792,1.2572694315260493,1.4398306761098887,1.2462375736282534,1.0846301648819758,1.3827486590206617,1.415321309507052,1.1010124049472003,1.3260592038830568,1.5703243620063165,1.4163608114171762,1.234839627752865,1.394718525706819,1.1698044241902152,1.2464499010646752,1.1551913840562695,1.1410136319560407,1.0987972521924996,0.9284777057768133,0.9507742075709436,0.9290835893762578,0.8762220831761481,0.7771777815639612,0.8522784962552088,0.9275517737567295,0.7915854767756002,0.7729252497911403,0.8797149750026169,1.2073791975899921,0.8847231945846474,0.9294156669319983,1.0538024676365862,1.2443165180000055,1.2880440394690893,1.0735547195386057,0.8280304229341846,0.7936909691887442,1.2242414039908818,1.0960558622353045,1.1470321441418376,1.0987983810688584,0.853620565670291,0.6822447016208537,0.5918074209483316,0.5953510769863634,0.6860790884591789,0.6839552848593996,0.7661240420246888,1.6103912566758236,0.6661212160036835,0.6577546208262175,0.7953567563558535,1.0465533189986824,0.6016712161383061,0.8087829815131639,0.877009121076005,1.3687806096190536,2.388679463739343,3.0328469303350656],[1.6445045324845746,1.6106339776584417,1.6845916713572227,1.5833229731025802,1.3906281418389608,1.4482631950575884,1.2861201570421132,1.2693537575551492,1.143194411944925,1.092500221849239,1.0296784378516055,1.114014825094454,1.0778154685779955,1.010590693215756,0.9682924873737121,1.0132664568500096,1.057829186804663,0.9603803480373015,0.9675538518545452,0.9717773911513485,0.9733962164668934,1.1199010945882644,1.075844397966005,1.1080297840424072,1.1429060504678348,1.0365196689752136,0.9913404911876817,0.9937236049288383,1.002417735252997,1.0443033022201502,1.0051854356843803,1.1458384378236812,1.1830870947436298,1.1461279538271452,1.097800885767467,1.031753620940859,1.1373634046760053,1.0253598724728288,0.9959778557835524,1.1176016471479047,1.1584564961737382,0.9477286900415994,1.0324058072599156,1.0700248481017682,1.1736459636562977,1.8459450582187555,1.8434134891544496,1.1626594504117673,1.4137239741984806,1.6205764378357104,1.7978027447437757,2.8513794477948418,2.166685509827239,1.4618110751153486,1.7194107569703976,1.7163677916773221,2.479095228080092,1.0791621435053214,1.3305380881526163,1.1485927621266645,1.0018495861306693,1.04138665901459,1.1165221208533944,1.2820424854021528,1.0144199736097461,1.0193823763723757,1.2047223789153936,1.0042204457389543,1.1615720026340686,1.0628446103679052,1.3605629757809923,1.6747377183140697,1.2075294549860907,1.1749827003703435,1.0460620267928247,1.4633722409111816,1.0673658827772148,1.1011146914378718,1.1003923851080248,1.1028339340027566,1.1303659975821094,1.2655299060357936,1.294717441865513,1.1611416445211589,1.3387321090896513,1.1972921206049136,1.0926609125620728,1.2011516086632714,1.033527543007436,1.1412694647466173,1.0412396010572478,1.1343565911174003,1.0748516833965471,1.0887594384680066,1.0419492333010218,1.0760122178418587,1.0808904981576641,1.1465680304952839,1.2221734546284375,1.4970816583156779,1.337563293062347,1.5562741575781478,1.3873789773553504,1.572073460612455,1.5619620688605325,1.4123343100860024,1.6473265936132375,1.4598406415434706,1.4446888598573362,1.501205635442232,1.3873853199143829,1.3618283409348069,1.2258204981130172,1.2557289283781259,1.0901094889313474,1.1608043896262386,1.0291961528179479,1.115210778288434,1.16069354543958,1.0768620139456768,1.0700107055962744,1.0798606317732857,1.1100324373393111,1.1743208572715453,1.202385156147398,1.2504407771082129,1.3471609078823619,1.4339691092638833,1.5364341101388428,1.622026095673501,1.6058237565301645,1.7180613879815374,1.592548976031204,1.6447385324189792,1.5283917332182513,1.4287175572743225,1.1469839828784556,1.394783152963099,2.143500031181242,1.3420228359813888,1.4196246357194575,1.2489412449658057,1.0286317077122493,1.1151333439027156,1.0840556560736656,1.0011172240205852,1.0894189049480227,1.1010435645509975,1.2380538429761765,1.2303508174502464,1.3637354896907328,1.3540611781678085,1.681530165076408,1.9908515070980857,1.6082755958165715,1.4644701281473151,1.2970932047906165,1.4291336265410812,1.2729356772817533,1.4366750664686672,1.284097541795429,1.1674734056252987,1.165250040590039,1.185575755471657,1.3900870418359572,1.4291462364215672,1.6382705878856199,1.9163080917134638,2.2536314435160616,2.0735644298857077,1.8667424697199704,1.46302494009804,1.4267629354775915,1.31502182046071,1.2920182973884176,1.351900355826073,1.2461976256477005,1.4913875129588083,1.304003592127734,1.465497631769574,1.2195474842881082,1.4145843336959174,1.5201851597474885,1.5538127538706201,1.5320343577585485,1.3683716911074582,1.3643754896135118,1.3405454375023593,1.6915360647769648,1.322932152332535,1.7828352946033605,2.4581049378123567,1.805504597641342,1.7529138979340635,1.6330281578836838,1.5961791116829356,1.5352747354238443,1.5767332125317999,1.6517092386596863,1.6936322216480777,1.7352332776713009,1.7355241693959604,1.6635989134285147,1.717223369701385,1.8019362094485634,1.7645561041795845,1.756612672595576,1.8180546317522641,1.9041535011181003,1.7941744650589868,1.8049883490924474,1.862160632308366,1.8601713528303059,1.8607104112018247,1.8996057085412192,1.8842148668837702,2.0191863817644498,1.9021335634017948,1.8314940200034684,1.947568823372424,2.013395544554896,2.843380194952647,2.1258632150926604,2.332467918519328,2.0142059343643965,2.058400167237133,2.0398349188075753,2.037125792983862,2.038189776225514,1.8911701234936678,1.9051154575348574,1.8910677052535394,1.8640082929003736,1.8180510039267361,1.941649016833732,1.770699178410483,1.8008070472269722,1.5543694639650063,1.70526974917416,1.6818465231116928,1.8346194431346088,1.9590626826973487,2.074864939916814,2.3099749118851802,2.1371036992867216,2.025651861898643,2.1043488123424554,2.2578044042518646,2.0581361982114226,1.969924827814613,2.1871706114741567,2.197957274732686,1.9719483661455832,2.147497320792884,2.316751787073894,2.2098422114775125,2.0635145265423067,2.184275742509089,2.0317870179577056,2.099714127130955,2.033826222481638,2.0472507758036818,2.0114153512614052,1.8983371034935828,1.909501422278195,1.9092158152057501,1.8740767929563271,1.8275438033049598,1.8810493480098815,1.9076648453831477,1.8236544652798683,1.79358514142444,1.848785311952716,2.0613792747659283,1.9301708255403696,1.8940743146847134,1.953165491030237,2.1069866228996705,2.218608759274516,1.9991161744931152,1.8244058471301954,1.8392973446491845,2.0984930894180596,2.000673772242703,2.0311336160571396,1.938673963709304,1.8576415818407421,1.6382650470674733,1.6209521606933721,1.4671857551911232,1.5296256482550339,1.5984328851636196,1.7155413306135476,2.1374178884331485,1.572351971784872,1.6440579389959975,1.6733446506041274,1.6956432247620183,1.6518034835165754,1.6937679292875227,1.7686516273429214,1.9794688825993063,2.7834538632120633,3.3151442517835727],[1.4511544294074565,1.5053990727764033,1.4914263634776703,1.3630281408080887,1.2701343869313992,1.2689644822509376,1.1863970444912437,1.2620782672006015,1.1551118432064122,1.1071569207509386,1.1412717269269173,1.3131517229783762,1.1844031348898758,1.0578886499967568,1.1452557669079828,1.1878474669821797,1.1173620118673062,1.104458797976745,1.0411568324769853,1.0919142746716008,1.0619442917440594,1.1002984168609358,1.1659373534018187,1.0966098935216688,1.112035109746112,1.0289628102192954,1.039214078240504,1.063224414082616,1.1160278430331443,1.1871094757452565,1.2580565902530678,1.3994206361577586,1.5154256053097022,1.486536770118652,1.3638126569298867,1.238512816906603,1.2990182590048145,1.1486168220163813,1.0982119943323745,1.206047910136101,1.073921874317928,1.079437952993122,1.1285281073398228,1.0712350029142754,1.7720626705035942,2.572658074043432,2.535972490018383,1.312923053528211,1.6085138906303829,2.0293937982226176,1.8210900042001343,2.8776047023782114,2.2082542106189504,1.5477612989639382,1.8560314782241478,1.611498103514241,2.4171398392262886,1.2919822390266265,1.4478012328516119,1.2843865961639822,1.3084703322415054,1.303913012000128,1.382007642117069,1.450219553295792,1.170757564717904,1.1984166068330215,1.3598557687084656,1.173660684143428,1.2231920697943997,1.17927755955574,1.3992241724833079,1.6438898468300311,1.2574586005827733,1.2027144939412864,1.2599898216708458,1.7641244770337967,1.3199804067461598,1.4297558865196225,1.3758906506294843,1.2980782173875864,1.317461697636916,1.4104329722096849,1.4988357382881252,1.279317183385184,1.267687065552581,1.3046175301659244,1.2462008920552445,1.3846253784489146,1.243119497581589,1.4496512364802239,1.3371116199706963,1.4825093299724166,1.4214707288570265,1.462496425591974,1.3519353565941277,1.4104584855252413,1.3417878255626376,1.4847464338857141,1.5213049211585767,1.798659400873744,1.6127937449924694,1.7256820659875556,1.5401617658155446,1.5792418030025825,1.4654664691102233,1.402194377965879,1.5979502535782226,1.3168605229169286,1.3219953152845496,1.4593875175293773,1.308396409162661,1.2596253146489707,1.1889759572784078,1.1533473075505456,1.0780446459233222,1.0525658077621924,1.0515727018141132,1.0437342910489047,1.0181659858398755,1.0614832543812336,1.0116112687868242,0.9964662438123106,1.0605240384027277,1.0577459355840966,1.0953698402738747,1.1578477270941008,1.2268941123636192,1.2488795479006864,1.3124410311572052,1.4059407040780054,1.3749299631343381,1.4373392706833763,1.3933002256354787,1.4707283372674766,1.387792135697918,1.4138714275105457,1.6847548212302579,1.3482621321673105,1.5038233379706916,1.247012629432738,1.1654145913334801,1.1776007388664689,1.0725529543428938,1.0797033996625922,1.073291826939116,1.0815995576629953,1.0881026026848553,1.1486304054810037,1.2196574781097316,1.221766372525328,1.3438735845649197,1.4082573985668179,1.7601888085389654,2.1061390479300397,1.8613560474036577,1.6685191633117058,1.4602690079577665,1.474106907112522,1.3594083559081083,1.3922240618760149,1.2326147369299387,1.1816184953505255,1.1563832569760486,1.1419506688525123,1.2419136704682319,1.3890318407793714,1.4628080672116954,1.7071165660727272,1.9677337233295766,1.8128539853505417,1.6357557247928642,1.3898572061743046,1.3195898363494538,1.2836836799658906,1.2898993955275277,1.3725544355650634,1.3486816728520705,1.5976800249216827,1.35715435399853,1.4484858458032974,1.3964521481400545,1.3519643851168535,1.358099819936635,1.3615617768818975,1.3234932838981954,1.3127771392410705,1.4210004844323036,1.340899463980361,1.965601952248983,1.4396633828734138,1.4741860817336547,2.013694285497143,1.6002397666162371,1.553072892350881,1.4573423734813902,1.4163732059555563,1.4822732086136416,1.3953015288175024,1.4429683669382363,1.4187781914012485,1.5366451693478704,1.5192828205137705,1.4104508391509407,1.505715136031685,1.63204089325222,1.5446496693743417,1.51872555869387,1.6532472217673555,1.7618046890606458,1.6061438172393911,1.7056696349548,1.814373337209631,1.7437415595130656,1.8174615952395716,1.8801996447880476,1.8633369416673964,1.9775353047007622,2.0089667813952112,1.8390709998976673,1.9764845340963748,2.053805781011393,2.7634446072863765,2.337752808115281,2.520206325080589,1.9389050774607974,1.9200396864539302,1.8870961157658253,1.8974462054490195,1.8613347052046956,1.774915425963427,1.823207934909498,1.7888258448647347,1.8603894325136903,1.7214556818765996,1.810650946280864,1.6222573787969172,1.5447798393778926,1.3821979443021555,1.4690293928106388,1.5301738293520424,1.668356786718871,1.8273662892462323,1.951515425947117,2.1967071080171303,1.9810293924609557,1.8818077452408022,1.9777373018572983,2.1046647064389403,1.895115211069101,1.8000819785565911,2.04400930660875,2.0355035033287905,1.8079387207928943,2.0064050967794054,2.187618600373777,2.0574731480162667,1.9744462800475768,2.1364378913766906,1.9738676935501644,2.0203983242326458,1.9126749213278624,1.944457520738412,1.9654347210112497,1.8174015766139926,1.8010344556477698,1.847287938272982,1.821182865030712,1.7025419505186852,1.8202538657197627,1.8311548900444257,1.7569208750924867,1.647290527474267,1.7768642866776354,2.0339128414037844,1.872523131574366,1.8259539479589444,1.9498505033633675,1.9803835747403404,2.1423491028593107,1.87844402312364,1.7417108603323612,1.627454411115526,1.74827346560219,1.6511015828869882,1.7102023465877292,1.6323886552387636,1.552486849602366,1.4519578549699468,1.4086979403031417,1.3098096862716526,1.328047748210065,1.3678868275563993,1.505519276586378,1.790394879386298,1.3476331733112092,1.440840983626373,1.4276943689908164,1.4197905164785536,1.4106953038005412,1.485431762273805,1.53997040588871,2.0948668032947344,2.724720283447788,3.520303591084449],[2.7452172593664144,2.8088430356395344,2.7005671847000614,2.762046466213994,2.5924120012708203,2.4823440251415585,2.3488120742866134,2.1988057741981892,2.0971328902134583,2.0803065238609646,1.9579410623874678,1.9460332693044209,2.0198193039159373,1.9704270389182532,1.850126670891616,1.887659858811858,1.98978183673668,1.9534280002635853,1.997306639198057,2.049852022263197,1.9623587501139999,1.8612635381389633,2.1174305893624026,2.08000168456573,2.197974636757773,2.066580683406464,2.1057874545756183,2.1163708309458995,2.0299732575348544,1.962214561107509,1.8454146368511015,1.936465767657153,1.9422079577680245,1.922988813844961,1.8935437341378865,1.920718891654187,1.9731455113261118,2.036572339288961,2.1224560487722495,2.1780385056801506,1.8643626259190114,2.115531153743302,2.0900377338688743,1.9652579020006182,2.713283281294128,3.4289473049045576,3.357515891262244,2.14575313535693,2.451330971876139,2.817548069960061,2.558527735674294,3.4696841118383883,2.884407038563478,2.3832043402555145,2.950976857191339,2.1144662839474435,2.5276244866232918,2.116471335060878,2.0913388929842647,2.1011922409586608,2.154912222847194,1.9795635153722644,1.9922999867973337,2.1843028251358145,1.953095365706401,1.972046719156296,2.152892531062309,2.004126823470943,2.0529988709856397,1.9512262502480064,2.1955710532788557,2.241189593540571,1.9400879406546374,1.9611238959876547,1.8869232211067006,2.0592921195466434,1.9386035309281724,1.8999753230677245,1.9173855121918448,1.916439561582803,1.9155472909606692,2.126016597113194,2.289411881226362,2.131543479965189,2.0787159749611916,2.1006687793737435,2.025095032808931,1.9949171492486377,1.9328374344567578,1.9238253145209272,1.8925632415708857,1.830756168292214,1.8383954605853101,1.8471693874123412,1.8349984501557128,1.8298046730574342,1.8419587402652073,1.9158405818036297,1.96682470763224,2.092237020643115,2.036267974990474,2.185240149517561,2.0915644739960513,2.171306955890574,2.140225287846314,2.27056396553716,2.42478269906022,2.2934766743261323,2.340588707821651,2.3739244609665353,2.341913045872347,2.306841834776373,2.2727343407330407,2.310216931639183,2.196354382197193,2.2503078717826948,2.201604697238219,2.3062967462998514,2.086784848633848,2.025253910632565,2.0835864907535924,2.0818442215851283,2.303383941606107,2.307597258626256,2.33297074177534,2.444686476047655,2.483306373912513,2.4169830444397538,2.4749322869617374,2.42662834550811,2.5769346437795932,2.4838355440504323,2.5398552150085028,2.443154565868554,2.5577637944250173,2.6183153124186105,2.9173254404703286,2.640605464381892,2.622644905341094,2.423110025429378,2.4754224970583625,2.4495164460826504,2.280656231559825,2.280124926456041,2.2114031751032153,2.143696289209929,2.195172316672906,2.1694618880515506,2.1675773435909176,2.1329288781884075,2.180700346148503,2.103451950468466,2.183050267746532,2.2930979017250324,2.1571117824887582,2.084314863742529,2.039140758906641,2.095339126035021,2.0545466169311903,2.196467047743662,2.2382386721548126,2.152152378982135,2.30368507136867,2.192019736359778,2.3646176590944723,2.6367296834304206,2.6255466035217747,2.87925130900942,3.059889714535641,2.9682394487396815,2.7666942761608366,2.6064778834428415,2.4248908946449883,2.2970378928643624,2.1776496545780075,2.155268718456579,2.116855728624822,2.177867316568408,2.1319683421742224,2.129562575307671,2.3877108633733237,2.272548926778332,2.284391959019528,2.3280863441914526,2.3376465558839747,2.315154085229989,2.415804340181507,2.3623555433194023,2.791407680320155,2.50676293392414,2.5179821598843604,2.742257946386778,2.69649770381555,2.6644627576333484,2.6331938924869247,2.614034922968583,2.7804699906092956,2.6044821876303206,2.6432331300573995,2.516598313555799,2.552435511225359,2.405117955565762,2.4539589956154115,2.6360344480743123,2.571405496618745,2.5123731437531083,2.736269674870728,2.728148418821903,2.576771345235132,2.6829970440143645,2.846827429008865,2.77573831851101,2.6780020607396526,2.980250084960923,2.9702207563642524,3.0236490616302802,2.9009971442568694,3.1810484703888817,2.9426257458563327,2.892566485025132,2.913812009152663,3.165249654167471,3.163930599299263,3.224511582276691,2.6715132395234082,2.5663815586414622,2.5234329771323885,2.5423739675591475,2.5824351679509374,2.6699291404845056,2.662857494595652,2.6839184811505703,2.8618065993666266,2.7637157772747183,2.808903732100261,2.760464733409312,2.7282524688497714,2.644542779568795,2.6380011751789785,2.54052152345,2.511491406836722,2.5550252255279404,2.484451602424139,2.5201068190429416,2.353391282949423,2.442309353364411,2.4150028296909762,2.3816659512464384,2.3496813404362764,2.3953528211281814,2.416453597710203,2.3787263975689172,2.425299970370321,2.47266620765237,2.502071473641394,2.5099955730641823,2.570698216487571,2.602703482633116,2.614575386960685,2.5752271633534343,2.5144877584425314,2.558854313877924,2.6499157858222784,2.687325802001906,2.6354039372201545,2.725912102145152,2.7851446547006207,2.7537679213980883,2.790575271551124,2.869117994880489,2.917135581215765,2.7938919065051686,2.900888435382342,3.055331366608505,3.07668226701418,3.088586823055893,3.2582933971337127,3.2846553285415454,3.361953435211043,3.190704708733111,3.028425866576543,2.941498730684914,3.075039818050528,3.0071336048443,3.066747912583297,2.9623385721351894,2.832105804672389,2.757766918425549,2.6396441863646767,2.5031746223009725,2.4777214299202486,2.327464688093079,2.3444044445177368,2.4989490877354155,2.336822050236903,2.4446930456379805,2.241177783830362,2.137087528849119,2.4936428949993537,2.4415021653834916,2.261164111478389,2.863443422295421,3.089426959369128,4.046515451908724],[2.738751236315649,2.7695282020165406,2.640542495762596,2.4862989336145485,2.350844574736439,2.119308591960893,1.9107218956510403,1.8442733258800474,1.6501850884461855,1.5551706366295783,1.5088067962653273,1.6859242562043903,1.5934360192141885,1.4279228003212245,1.4557586325109746,1.5239425401372506,1.485940403212424,1.4227932208119465,1.3642114028510604,1.4609789307707723,1.3860732591165197,1.4162960603292667,1.515331361691887,1.4587671622519833,1.5496584007387593,1.4189906089808169,1.4867912359816966,1.5091339303504483,1.5175110734540116,1.5599047228739449,1.5883506086808377,1.7444983861283336,1.882132448016491,1.8629001369110672,1.7153435278749198,1.5756828784572527,1.6822359440683248,1.5744435192916857,1.6083419449398526,1.7302397666176677,1.4506798540895813,1.5263522107853187,1.554715052501941,1.4360015843741105,2.1900673271580757,3.0119362390569493,2.956239894435771,1.6651432366739793,2.013037589426679,2.4494429015840327,2.147400637120339,3.13512145518227,2.5122050137927068,1.9445399663779017,2.3857881982481284,1.9219347739478219,2.49399285527086,1.7131234413461205,1.844600894713049,1.660036566825005,1.6846028875214867,1.618826304703885,1.7153916837118426,1.7861930197704374,1.5033170018450732,1.54092494200846,1.644618313186045,1.4806583581948884,1.4743779395790286,1.4471054399827619,1.6016566440632918,1.75906935392538,1.5187908037877094,1.4536211572543833,1.5807195945851749,2.11361687935856,1.6722382632502946,1.7954762357674843,1.7215464657854278,1.6548868664342302,1.684337900514624,1.805444638363425,2.006396195591189,1.8030535596354302,1.743905597589549,1.750110707154168,1.6288750979682458,1.7442684089959237,1.5997262566894315,1.8156643263927899,1.7000432232655625,1.8672816373761212,1.7951016144779868,1.8435958192224806,1.6901195345519098,1.7704705643421648,1.6732322987556032,1.8303968060118994,1.8556110906751244,2.1454314630932463,1.9585157087576628,2.1153480719390076,1.930167533623903,2.0091408940816917,1.9782469815138153,2.0468127793097604,2.30772570163495,2.1841496621412344,2.2379716867781636,2.2376643275942207,2.128954208550485,1.9865560313167232,1.86739910134164,1.8410811911757494,1.6298239809879702,1.646854291482318,1.5632236531991979,1.639874294530875,1.4326967846420378,1.4281349696877588,1.3973698508615129,1.433504916774663,1.6276194351542719,1.6921916673843769,1.76821270942817,1.9781591586012282,2.156978714450605,2.092717478414262,2.235076655799576,2.198023615904263,2.402748049155472,2.3658292152587,2.3466727135445056,2.2442475212118387,2.2856380018838953,2.264014664839807,2.6676252782782335,2.2328029986977906,2.1489378256542557,1.9543446874652555,1.9250366100901162,1.8508814324697571,1.6582343015126542,1.7077774442055573,1.6573843760573503,1.6020182348613479,1.654176670604231,1.693887376798592,1.7771893687106743,1.7549105978345316,1.898015514445223,1.8521927272127106,2.109661430206657,2.355703083134535,2.1787346905058627,2.018139356795351,1.8369372017862786,1.8939743710339114,1.7683645516173856,1.9124785307001149,1.8497103053496105,1.7181543987873569,1.818874479073708,1.7409754514473061,1.9430338900024582,2.202526440907758,2.2753513004079284,2.527413845010985,2.7524672494756834,2.598138484053043,2.432275742041099,2.1971488709703184,2.0387486941668262,1.9268544862895587,1.8244827556494327,1.8786798314864872,1.8035753327305895,1.9922669975466951,1.84153669012414,1.9118527692671947,2.0291949923183936,2.007318664535966,2.052752153241616,2.089449162702481,2.04964406862541,1.966472423647773,2.0150672277445705,1.9879755902377112,2.4787616139800144,2.1819952781850898,2.223130570527136,2.470450027677278,2.4363788792822962,2.4539084746326156,2.4667013335225034,2.524030220336444,2.6635718881586956,2.5798528909921417,2.6750355394597825,2.5016102416551127,2.6838240394910766,2.5077492404342285,2.4714322716445407,2.7667244491139638,2.7889046052112034,2.643952499944538,2.8369959432968863,2.9939216481608453,2.86490626252932,2.866919154238398,3.149316250381795,3.2013667579812854,2.971282321882002,3.2401520270892403,3.4486889992542267,3.439171334836342,3.500512327107757,3.710898677854102,3.4180492767134547,3.462933127245438,3.5046495846001022,3.7547568450757027,3.756092334979659,3.6575400319637423,3.124955843130632,2.9829853732863,2.85505291888521,2.881834424466917,2.9982460435226446,2.9715932509217535,2.9003467175489948,2.9970903915346376,3.17340457725158,2.9680748584231127,2.9585573559312524,3.034581773356447,2.9644475594371107,2.7526474195338375,2.7810993921213805,2.611115772424511,2.640183922457559,2.740806632175697,2.6416934544007753,2.7350497624436847,2.498499808073911,2.587610609530665,2.662517453015628,2.5488747642446152,2.4699631517267884,2.5991885270589683,2.657637408221939,2.5772482107248362,2.653282480092738,2.813467833655427,2.8174317561493774,2.78589149579582,2.9931259390937583,3.0913085305708905,3.101809362120288,3.013444024494371,2.855973644746493,2.9561248800833937,3.1502859069259763,3.0771232008977414,2.998045356729238,3.197494100679524,3.2451010244844545,3.077234542768832,3.2144701354834675,3.3756427572097287,3.2987458955441857,3.1025794314799193,3.348490576257058,3.502245876713019,3.450298429155306,3.3991324596129555,3.6870394731693943,3.6135307807048043,3.8147049265106876,3.4741782465226163,3.2915603194423766,3.069166274881506,3.1721101738318738,3.0909611169530424,3.209641727144893,3.046691849373444,2.9494417852840047,2.7314546641720128,2.586778591708772,2.327767264734508,2.402326727621705,2.274542770633992,2.3897509868356073,2.428644654364259,2.205573640506947,2.4695553885049573,2.2780291727624435,1.9582853990701443,2.348929388200385,2.517130976598571,2.293246099872533,2.746642687494587,3.0406388004003557,3.953034288251071],[1.704090042281052,1.7612800544711262,1.7564611305738946,1.6326119851659384,1.5259026846247483,1.7055049178888055,1.6067698508648594,1.693962777965993,1.6096542049174971,1.5351767334348598,1.5724749137089675,1.7764841041877728,1.616027392636954,1.4567865476656896,1.4767895068726253,1.585905040901672,1.5312391741165996,1.399050059349165,1.310572514393017,1.38262500338144,1.349882775780116,1.4770948410845428,1.3944976712641475,1.3000765358067936,1.420903188967173,1.3085557145556401,1.3244467848543526,1.3480538086425602,1.4455523110098116,1.5598749944627646,1.630691434878661,1.7770478284473863,1.866283369126665,1.8091094797958924,1.733744008723989,1.5868400643707996,1.6630717742032828,1.476044331970765,1.4334980877689885,1.5680722965061233,1.2706189869172217,1.37659497669845,1.4580676494133737,1.3508438263508449,1.6364201544280363,2.33623829714388,2.357242044729758,1.463272192370233,1.7712869470174488,2.0283324023578544,2.102542661103019,3.2418201200040992,2.591639497825797,1.8723458131286541,2.091905494057396,1.972056753059627,2.6930626060439797,1.466951889667972,1.5713932507881687,1.6097732999797085,1.5292411205841396,1.5643334893568142,1.7029001571433373,1.7495197002809597,1.483952222281809,1.5258901498095425,1.6565868667010624,1.4724466646521641,1.4816469500621112,1.4707503558773987,1.5939403892386652,1.831931923446118,1.574744390056918,1.5286260441281314,1.5820129522240562,2.0105585317194885,1.632261852728522,1.7497224181327993,1.7083871594244087,1.6793643450123235,1.6672486034191345,1.7085056903004592,1.7997982694540264,1.638991971359882,1.6760961566940917,1.630208310295409,1.5528022315469678,1.712872317925914,1.5816974088724542,1.7632541072461425,1.6674688492232408,1.785335577176853,1.763067666043888,1.7947333356971502,1.7017399873062888,1.734924729350757,1.6880468164514857,1.8528362672770642,1.92472340426058,2.189704261454362,2.0011241377723947,2.1397150328712717,1.941821519232232,2.023990323993817,1.9410810799302254,1.7828349148748284,2.0374475776454886,1.6942871277196991,1.660383328690018,1.8831567886545264,1.6835493274487319,1.7022391064634357,1.5884318479334543,1.5655811153359311,1.43607651577428,1.4335505564223538,1.3199694687422128,1.3340017498694587,1.4129241719607304,1.4369098615222973,1.3375567917912912,1.390014916685016,1.307937297329685,1.4088993900780116,1.4608320836882012,1.4866300157331604,1.5754470513221752,1.6704116087371972,1.7895838580118903,1.8914233530890994,1.8394631053836346,1.932163130786588,1.8364593847032356,1.9172450731964423,1.7803173542223631,1.7749380091310556,1.5598430805574912,1.6342441443934137,2.1281100162914184,1.5719031662585445,1.5563224431004967,1.4652168858381902,1.326969749566165,1.4283719741599463,1.429003403208232,1.4058907149475364,1.4539459920478874,1.497493469365135,1.631293829744285,1.6432647621520091,1.763655567205586,1.8464355461286521,2.149785567443398,2.502336345483129,2.255882292463503,2.0752968901100215,1.8974607453706136,1.9104536673462857,1.8010092636665145,1.8094699150340492,1.6249776299062841,1.5727275889556376,1.5106242632840223,1.5401901195217425,1.6605131373910547,1.726616836265196,1.9132475822918,2.1512127130186847,2.425106724042052,2.2364310937412246,2.0846476577834885,1.749850446739226,1.7100367525349576,1.6665161573628295,1.664379537400613,1.7805656533987848,1.7309021750065456,1.955828873180417,1.7299194052988425,1.863144740933361,1.730174885245837,1.772311058415809,1.809968144169563,1.8148322599017865,1.804391451421277,1.6984260549013543,1.7407137309262695,1.6421577700798802,1.9793590065574376,1.6288113934502786,2.0274116401929883,2.6845932682419327,2.0514597932545526,2.0282735437433748,1.8817977029827802,1.8014130689519958,1.8136303761951604,1.826600667602739,1.8511125693687656,1.8745214110829642,1.9105988471228086,1.8771235858627604,1.8252267120226973,1.9042665909106036,1.9731051445819936,1.9215213453635103,1.9292298233382354,2.018205484925167,2.0505084899753996,1.9810978330313127,2.08608411909069,2.148930721319985,2.062954571553612,2.1896143768239273,2.2369258545736717,2.23784103528752,2.3404744778373976,2.4015858488240656,2.2116127223750803,2.2790547169635107,2.2994750419778853,2.50202709293511,2.6897349044802477,2.9587675623847804,2.221201359365565,2.1695767629949976,2.0879921945129385,2.0813740119121564,2.070127308419377,2.063241691968039,2.0975776155177335,2.0659146847351044,2.1534785963041774,2.067051757887029,2.104027119837177,1.9960683976264213,1.9349533214623458,1.7793088133993333,1.8962520999791406,1.8959897180483545,1.9825333286693656,2.1131045993249007,2.203121141894377,2.3242906751804955,2.2130752853583284,2.1373543398016235,2.151458045675143,2.2831716233446926,2.136706089618765,2.054041361619849,2.2215755355927853,2.2256028085476713,2.0681242812601064,2.1844156412322087,2.3213157309970227,2.249800028641498,2.176934212398599,2.291022971080248,2.1921627330532085,2.2111106267891927,2.120317543150426,2.1593092801246554,2.2000769184095956,2.111023441075574,2.0930525693830386,2.1264169985457153,2.1192320906373623,2.0436478383464256,2.121427055729548,2.1733587725697037,2.1035672664743856,1.9840858593014499,2.144754948332822,2.255962165910272,2.2138273808275075,2.1646700608744873,2.373946471257547,2.347472368778221,2.548291814763773,2.2462729449171897,2.1237129371922188,2.0292818552995864,2.150004249959444,2.093329400987153,2.1420030845979925,2.0576611568173613,1.9967725338098574,1.8120335463746906,1.838328071662026,1.609225441896413,1.6334202806920648,1.8186587975628745,1.9347679669661457,2.3807683933964863,1.8141702254513057,1.9021556748014745,1.8806671921200937,1.7803655395842932,1.8597802452774785,1.9101589853233403,2.0274246781925287,2.6519801850949896,3.006304768563736,3.879740504714882],[2.0396534984947965,2.1289355214676546,2.1078331033881312,2.16828487175634,2.05233581911375,2.1074639301849674,2.015755149223115,1.9857624139810686,1.891741525270349,1.8742646725280216,1.781434078992246,1.819355214349734,1.8364830997198245,1.7840225034125048,1.6459648766626875,1.7167950898293827,1.826605394255722,1.7678245911334798,1.8360260403334208,1.8552684090428293,1.7844881434517692,1.6755310265780186,1.9301866440529392,1.825109932562982,1.9914217856290066,1.8771028178483402,1.8643254609043565,1.8710500999947415,1.7951782640618352,1.762168999424316,1.682044758412706,1.7688903268064193,1.7668129588651649,1.7171901716355467,1.71662191514547,1.732709051919373,1.7849908236119014,1.8063503875598967,1.8624188531387518,1.9162496731267407,1.6141336912075732,1.892865819352833,1.8633784154412083,1.8112852190256394,2.6579639256138785,3.3473642821507856,3.377729611956871,2.055395901347411,2.309704345248978,2.723802828064927,2.405810627583224,3.3388918286949485,2.726410830796024,2.1863532190757824,2.7696567410846886,1.794759410339085,2.3104948403992287,1.8468968969426016,1.830919791916307,1.9785605754708304,2.0260098398253756,1.7983502418987982,1.7833291337041985,1.9689170104974831,1.775356661377436,1.7853310690108493,2.0399521756950834,1.852283778197246,1.9338410979253116,1.8049447928613491,2.0996606051867914,2.229722353075786,1.8260028142543538,1.889147842070732,1.6908021474123416,1.7405994437854124,1.7335546895075733,1.6902392639031465,1.7180221440736656,1.734521299433691,1.7183233296635951,1.9136539967061328,2.077803095020388,1.8934485673096888,1.8340111757127124,1.8629797033113156,1.8004953224720106,1.8171726357924871,1.7361796206184354,1.735246776621488,1.683963573736209,1.5776614114926213,1.6434212060567588,1.6363216072617628,1.6471704922727441,1.642890149337885,1.683125684726209,1.7468725876551248,1.8350335993011693,2.086456099492168,1.9249509751709721,2.1834918877689167,2.007625644191231,2.131118387905602,2.0743026879798543,2.0544082723689634,2.3185339420109763,2.0894103627220177,2.0760284739341794,2.231327044654959,2.0892804452349365,2.0573860294587694,1.9907846333450834,2.0159664156599533,1.9361558540452564,1.9958580150734013,1.9402473339924904,2.0775267461404288,1.952435981721341,1.8916180524942114,1.933331724219843,1.9162073242094195,2.0795912186174967,2.0419455825247903,2.022276157189608,2.0685351404737125,2.0598707563214917,2.0957483050768975,2.1498914884364515,2.1736210470500605,2.2056075113019653,2.2231883864971578,2.1995555077727644,2.187241316273157,2.1857540486168365,2.250856800829849,2.3121712022921437,2.2371101037140635,2.406641260362628,2.16121951975661,2.2214232564780114,2.190276995550543,2.0563831169883855,2.050071862945171,1.9704649301113644,1.9012590280622539,1.9455930567581305,1.909173173327674,1.940940778645577,1.9017152447208292,2.018823315194754,2.004468594072326,2.224320874329845,2.4768389834695568,2.1833200730004116,2.062804429446045,1.9503738457001014,2.0183737770520835,1.932702597207397,2.018319033659081,1.9867687975352217,1.9081938196305512,2.0283609395949287,1.9395413010039748,2.0758993391883935,2.3206650864620513,2.3317841047165517,2.5872415371997737,2.7700770776361336,2.656958868814289,2.4662120761625452,2.2681907028213915,2.111898747916777,2.0419634157535462,1.9497277806472824,1.9767053056612904,1.93068240526528,2.0671449993234443,1.9380974639477255,1.9963064295893758,2.1905634086863284,2.049374644903713,2.0773991208503175,2.0979447162530955,2.1186669983897226,2.072093681960641,2.164410830191376,2.093420856454429,2.6069342853831494,2.1922860177769987,2.3509666148140855,2.7657935165451097,2.4322471179359337,2.415098824343414,2.2767258248571305,2.20878293360804,2.2920395212000084,2.1977048700609587,2.1922883195999314,2.184908301553058,2.2030221485847106,2.158824573779649,2.14110142294551,2.1999454456048113,2.231192380158053,2.192533229382132,2.2247112728242047,2.2564858794138782,2.289958255566625,2.2300375355575683,2.2919422003859675,2.3180591806865287,2.278873081868035,2.366482312685209,2.3317573691239164,2.3744732036080043,2.4295031807719614,2.5132154210733675,2.3591962496681176,2.3763789603912016,2.3837613036563066,2.4120277686170115,2.8148991281993223,3.187044898081145,2.3988409109597035,2.370465185285617,2.2936734358938446,2.2744666182548716,2.2442634342661694,2.3067718901659675,2.3631647586765703,2.312982015222616,2.426304323564643,2.3597291215837295,2.374075895344642,2.2728066477778595,2.199934525457318,2.164890633996188,2.2105841330608933,2.2054927667548037,2.2457629789336346,2.350826986899608,2.4187537319000847,2.5208723625564624,2.4180286545741314,2.329593749359399,2.36699496712953,2.5178193982815222,2.3408178812855187,2.2930928722871915,2.463657070450388,2.4704964266503717,2.3157008351058814,2.4307457039834106,2.593302189819795,2.5161737122463395,2.4071129738305608,2.509750408948293,2.386019309231852,2.4260131965850484,2.35305809817959,2.3786592727663782,2.368266255942706,2.311258777089068,2.31332365254457,2.2914184507102973,2.2813117239493463,2.2717014286723027,2.310330826927914,2.2956774129591437,2.3061586854545033,2.2260854693443295,2.3131761541501024,2.4001344021492557,2.4044923158152147,2.3981376303219433,2.5673121291433714,2.566047209892012,2.6858798143368516,2.4689010054464733,2.3654845307775445,2.31473999957303,2.439585966607389,2.404090644475442,2.4420012300088816,2.3812061947604835,2.294930445119731,2.205118059812481,2.1984913872850975,2.020876713551677,1.9998399820963513,2.126808669782281,2.2412427464849083,2.6848446615927277,2.1408770705532243,2.2122113365733918,2.187421269188263,2.030426121592032,2.1544322967521965,2.2148446720145616,2.309605649833034,2.9542731280198424,3.111661692384471,4.096054707625892],[2.761419744064373,2.8516755095164052,2.7520047431012316,2.8455805231117326,2.688054791651326,2.3866949142705596,2.224624194958005,2.0279093291394763,1.8589736014122564,1.8684658081593226,1.6370991394213215,1.5980886997952082,1.7366230309619513,1.7318961201829182,1.482751562270304,1.5607566802600599,1.8005835232186032,1.728885836238258,1.8952816904890588,1.88944046479391,1.853906704943071,1.7332909752012342,2.0603863890103127,2.0542851908891775,2.1505361858640213,2.061416456917266,2.0346789815818367,2.004866898986008,1.792527440062679,1.674041300013213,1.4702794686223732,1.5725592378643745,1.50621254699844,1.456723915025099,1.5032689758273676,1.600316352532484,1.6528907118358476,1.8099786203869015,1.9686854837029395,1.9889868199829341,1.9009683037644671,2.027196200840797,1.955498269758481,2.0737221860156785,3.1867401995017777,3.9577318664037,4.017167217987958,2.4545109352612946,2.656630904990729,3.2288658244609825,2.597219877557596,3.2934288077652036,2.677717483552634,2.263145280714059,2.8452327535133413,1.6649074265523447,2.1623491902630234,1.8106516961050405,1.8136066368333608,1.953930419701919,2.0843368393633726,1.744555165983047,1.6070615588674069,1.776616530742261,1.72929510309131,1.7134330740212729,1.974225080194166,1.7547457350793283,1.8666696689138167,1.669582559512329,2.0044030125169727,2.117134081364036,1.6161427046678951,1.753066833136227,1.4535007219105787,1.5168682360778714,1.5191397236504494,1.4391778566635194,1.5073960899660492,1.5607472997505707,1.5766524193322808,1.8354923100398046,2.019170287292688,1.89719431645307,1.8518844579239813,1.83223189148295,1.7611222983000319,1.6714271778413488,1.5874271176433923,1.5014140521886177,1.4297114408781335,1.3047550816879132,1.3626630023666926,1.351603141802544,1.379550006722208,1.3269401486205008,1.3944310637406596,1.4907349109433126,1.601504372985271,1.9102692635161864,1.7358869400204646,2.042949763425203,1.873458930598313,2.0449638989973993,2.062969560722817,2.184759682603967,2.4506511236214465,2.3711184919250927,2.4206003703557624,2.3970533021244047,2.362057780395398,2.24423372966127,2.154498389395518,2.2457795517052905,2.093062669862617,2.2566426431967317,2.155163019893059,2.401685968381439,2.126307794475342,1.9742707985601158,2.0835916670020307,2.051243982457936,2.407958374846795,2.3455205855498384,2.294159250335851,2.475511817010725,2.4583698314866598,2.435748112493203,2.4545304154257206,2.3725955370459477,2.6189823039651734,2.5579599846163488,2.586879297029226,2.404543446361684,2.5536217886313763,2.5958100584794916,2.9873329646052036,2.746664351063844,2.6593840762271257,2.6018300491446285,2.691206012119162,2.607501570619793,2.4252953827725614,2.3872604559273807,2.2193964075545916,2.0487965399054513,2.1448105721081947,2.0142000578024684,2.012769918609863,1.9190168349783752,2.016927479450832,1.8946454720507622,2.087344117223614,2.3027162738799736,2.001792237357979,1.8919908141815673,1.7960610068337413,1.9201836926343885,1.837887507557879,2.042171760133718,2.1510353736532952,1.9950740309877306,2.2975353938289556,2.1149081702238672,2.3430972178969363,2.773207164471326,2.7270063579555,3.0119891165945987,3.1764126752523745,3.0760422714394395,2.862310229514424,2.6666905982083984,2.380710109088143,2.2472991260508595,2.0474057671634065,1.9750139792388517,1.8803172628829508,1.973069238475086,1.9354692429569351,1.9741430121870127,2.4000715301018927,2.1854302386044173,2.262288691823124,2.3308726717560013,2.3861098183494738,2.3087071589223567,2.3801330881462066,2.3570564497752917,3.1355226951253776,2.651577105989284,2.6706718719604834,2.8197468411161344,2.7775015148599285,2.8216802056898485,2.735793798026106,2.771136140253294,2.8714418994690827,2.738383460035892,2.7873170329752397,2.6235206606891737,2.697181034357341,2.5303113951867067,2.5586403279948007,2.780354786089367,2.7255726389391395,2.6265557861400595,2.875331009320195,2.8958295837475956,2.730467610908072,2.7835442508236903,3.0015063585085597,2.9611953873301533,2.793836131349387,3.0702132262585993,3.17228820750036,3.2557084285147386,3.186435728014303,3.509193094505661,3.202182347813222,3.1337475147634533,3.134397598765171,3.010081284080852,3.5359549932741894,3.657540828142057,2.9151058779367705,2.809954103800229,2.6860759472646207,2.710053233295434,2.770195327285615,2.8676237408673675,2.844214433720696,2.8976307810314212,3.128065603959914,2.975897031660854,2.944036615768772,3.0200766811922652,2.9584634064042667,2.8608581416864807,2.845428860646305,2.6612082983157426,2.6603195038390854,2.7058877161028656,2.635286353009916,2.699432143115067,2.5390279699405998,2.554912497242852,2.60068704553675,2.6470542890470004,2.482611572326252,2.555380876372953,2.645419708177091,2.617386270008176,2.583840867515008,2.702551328124487,2.784965513805386,2.7354353495219548,2.775755725761507,2.8658465652113607,2.83378954061922,2.8050000450771604,2.7182411304515672,2.788834732904073,2.8846403936278446,2.8785658828688816,2.8453148898721587,2.950212853193795,3.00652555055377,2.9623292818901463,3.0307410662051173,3.1541832020740292,3.183671690158458,3.0362924947038863,3.166278808379993,3.3629278392662068,3.375560734922157,3.3877918134487293,3.6947116818226378,3.684567855526735,3.740402549007006,3.5011508359929606,3.2554920489375285,3.1199501134208596,3.330365297979712,3.2690200528705082,3.3835201604584,3.226397712311638,3.0395519330298324,2.9109220965396454,2.7507284413810154,2.570744390539701,2.510852984340417,2.3828190660252173,2.4661293971985536,2.6941283979587953,2.3694905947102645,2.511261688417656,2.3423329303073657,2.201301034620168,2.4568596154267213,2.513128170483907,2.3986993624297552,2.91521941727613,3.135512802449112,4.052842093845529],[2.2853772198044036,2.332882017205893,2.2519378861058286,2.1892131186692065,2.0542290975954716,1.9724985629879785,1.778997715837638,1.6975233661956435,1.5284438623300427,1.4441112284045468,1.2945419032629557,1.4045551628147326,1.3775602965147806,1.290083684721434,1.1384545000504154,1.2325534763212378,1.3718753836689634,1.2550830021937345,1.353597907546675,1.3578597409636772,1.3152351567868208,1.2764183529650193,1.431268031304369,1.4214156806076352,1.545352412499814,1.4519824417113192,1.4218458373329514,1.4093070887613768,1.3135927545388608,1.2854713789587044,1.1840986088846575,1.322948923070123,1.3305421025166468,1.2477629384504063,1.2453960412150276,1.2329752062015589,1.3104851407588398,1.328087524901615,1.4264982969098667,1.4854765664561775,1.3615047370982962,1.444480343294091,1.4050293775447837,1.50518121473277,2.4675848446920616,3.2141439843743824,3.303579856786779,1.8290549541214733,2.0664836761999346,2.566381721293557,2.1001578274789816,3.0000006087922357,2.3487407073128526,1.8134344458232468,2.3789490472102903,1.4118890735555494,2.054081677580237,1.3184424722826966,1.3949627585894424,1.534551186609399,1.5446701479039882,1.3097198239495147,1.2732038306272027,1.4372577477597999,1.287596733831631,1.2601069749927725,1.531621879934725,1.3074302944920508,1.404315940287467,1.2520830107436083,1.5385246812569244,1.7255336547484508,1.314015951487302,1.4218880389652373,1.169467203428665,1.5020807943901362,1.1943242468370185,1.1885751400770639,1.213220756363894,1.2515834967435626,1.2628153299213047,1.4270160278034991,1.659556931831883,1.5037748798154569,1.4910397397157167,1.4119558145769826,1.306158243178646,1.3366245969504902,1.2142558312273732,1.225210325571691,1.1741783269560329,1.1847680307581714,1.1849521162390806,1.1972217534429352,1.1730128175054908,1.1610104867308186,1.1878009881245446,1.3122958041304318,1.4368861381017586,1.800635521819696,1.5659069816787736,1.8714608706627327,1.6350675741406178,1.8482192041013772,1.8456681796002323,1.8311744792249576,2.1663883504542016,1.98449551438232,2.012986033766775,2.0831150306589787,1.9538278265823956,1.8471647962821927,1.7130453279382492,1.7340716625274455,1.5536717554780612,1.6603417315475557,1.5108764842676885,1.7158824836764481,1.5488078004103911,1.439564835798478,1.501345858256961,1.4899023252890422,1.6864592862065046,1.6992108595043747,1.708019417431069,1.8609898130089604,1.9207448145531927,1.974889453067237,2.0721142817998923,2.0503771072141848,2.1988790543810137,2.2359973034824168,2.158639727107159,2.067721630157471,2.066497343078925,2.0733364976109105,2.181583483611357,2.0832054704032115,2.2624347079187936,1.967049504601634,2.0220116749731667,1.9049804019381116,1.7438827077480883,1.7595806196671226,1.6284630690927586,1.4870127786658234,1.5851670312036323,1.5244916500003831,1.6105643135735515,1.5658446695803456,1.7373327211707394,1.6800733085759672,1.9626578786516369,2.3452736340692137,1.944096092320547,1.751674037526379,1.587182848314307,1.7121395074386034,1.5613503056310958,1.7283045857731318,1.700086054725906,1.5524145012590616,1.7260762164153158,1.6033891907343008,1.8154813131956875,2.1303314976851206,2.1982634551098985,2.4732565153735244,2.7102091777527213,2.5342173057009747,2.3618495005139617,2.070655282203268,1.8785099068291933,1.762191544147728,1.62980264154766,1.6370776467875945,1.5252269854035165,1.6804659468596852,1.5671594123739399,1.6818282323822031,1.8726614430405364,1.8033530792284216,1.9017444927878038,1.9466992133283667,1.9665367295219827,1.8308722226788081,1.8663266683968198,1.8475050516180922,2.485913800016593,2.0535349652783794,2.288098187946175,2.736689978358737,2.3677831490589423,2.4310371983854755,2.279107633349196,2.2817674748478924,2.308386541535697,2.303473062785299,2.363832469961662,2.2813294094633263,2.3583959398003986,2.236162634959974,2.2163476094177064,2.4166542519728567,2.4356470578081613,2.33994591294266,2.4764510523313996,2.5679342454168026,2.490051971148289,2.465738789630633,2.648201599304196,2.6845588329299437,2.5312598001423634,2.7044947314236842,2.829866287580131,2.8754326205928247,2.9110302648539976,3.0897670063286977,2.847401539079659,2.857804943203582,2.8579916133538084,2.7520696545715526,3.331414813592174,3.5439721132808453,2.7099637027806174,2.6132433141450018,2.456277244913508,2.4839686953731603,2.5230804266124984,2.5574562303973623,2.535867998349887,2.5848267471529747,2.7565315601196145,2.6036426005603275,2.570497725314029,2.642140133413734,2.5598706379469975,2.399519376132643,2.4553334957121775,2.2986590767226045,2.3569858171388596,2.4497432105014836,2.4332402723123328,2.5372969857282484,2.390709367040357,2.3696505046131664,2.417851035500775,2.4927187802411286,2.3017665376519827,2.3598654466068574,2.482060518557983,2.458499721683501,2.3956968274642936,2.5357214579637186,2.630020343762539,2.5738225582013254,2.603759178417425,2.7131401389911427,2.654645433784001,2.6348653426938577,2.5157279558892913,2.5953853832685727,2.6895506992073983,2.611457595330289,2.5878479473059173,2.6788195557256462,2.6979848553442194,2.617310748591154,2.7061730241470183,2.825929612455475,2.7791598957981654,2.631536583422941,2.7979970136943493,2.93848969152106,2.926955072183132,2.8832042249284004,3.159007114185902,3.127856338253058,3.290667402785073,2.9873458300099642,2.7934564157712316,2.6661382519046555,2.8458325212847444,2.7876466031602343,2.884555309638597,2.744387791597183,2.623704498859009,2.392615666433555,2.318368190719475,2.0387635755382707,2.0514917734420526,2.1098086548000436,2.252557273439887,2.6439215764640904,2.107571030182507,2.2664860193430263,2.1586577042025827,1.9463601023279482,2.1669087074473867,2.2990339823201733,2.2851554046678157,2.822603992192493,3.031935506002472,3.9279780763259935],[3.4510983050761586,3.5235696384120305,3.4439284311587186,3.477683575818309,3.3630183484453258,3.271298710994964,3.115746329550338,2.926902653635028,2.808758072880324,2.797460506773644,2.5948891707155926,2.5094503831066284,2.677427242891849,2.668464039799218,2.410057854219795,2.464205908106777,2.745963809398271,2.6628038990827,2.808736004319602,2.8032047953747328,2.737662493343683,2.6164911073459587,2.868163875652762,2.7962159647470117,2.997569104534175,2.8956958059024913,2.8779328860141233,2.8670803532518625,2.7046498524607077,2.572372255461934,2.3861504765310735,2.399549417394331,2.2644343299032794,2.2211180098865486,2.3495554307394957,2.5075476102445418,2.509559435357397,2.718277356727781,2.843119339841733,2.873391611492032,2.7361168408385215,2.8997438212913997,2.8375770876310247,2.9849723090399416,3.8963843996763066,4.558509785142106,4.638905543397944,3.276889730527127,3.4605454597644814,3.925145514047645,3.4039543011197364,4.16290148465374,3.559477076385928,3.1738576865857726,3.5624141560954037,2.473825114599848,2.875949814559285,2.7340588186921826,2.6265326767377917,2.9180760452621337,2.9830406691001796,2.685058406072248,2.5351414841776,2.74152602765141,2.709457516745969,2.656396571563083,2.8959519986448807,2.692552878186103,2.828835531325901,2.62524166807182,2.899029719043287,2.9379955751554876,2.60103197439148,2.7423714830436667,2.441099233009859,2.2712551710927644,2.4246232023355896,2.2777194746796106,2.3705396052769703,2.478723113172099,2.4192158181191767,2.652398572367633,2.8614018378569295,2.7928632093853514,2.739495283594178,2.6919225672207325,2.629508814604816,2.483912691441994,2.4910931876797324,2.2607667086149665,2.326025368128811,2.1541321948315098,2.2034707434160614,2.1205308356460058,2.2313373196938073,2.121845302185543,2.2376861101810976,2.257765481084213,2.3520758323306414,2.45516299191683,2.4399973227493645,2.7230427477640458,2.6591889277711123,2.847452993281441,2.9349565677446483,3.028677209086808,3.269956422198481,3.2023780016762555,3.2431567681616196,3.258644488450433,3.204748972992877,3.14768815081405,3.0395577810809526,3.1077983394139013,2.9702464704861824,3.094551478567819,2.96812365599612,3.197287189749987,2.9970965007883463,2.8600531402622207,2.9709374544573923,2.931183228634727,3.1575025124049687,3.147108992353595,3.1234920643767423,3.2562934748629764,3.244792163310134,3.308878189249875,3.356179693491031,3.304262629746003,3.4704859375758232,3.457612676421431,3.4436267515869328,3.2998689987586736,3.3877869704872468,3.43577847983383,3.4677251024954776,3.472439479531941,3.5777919019026694,3.3863869284971186,3.4660895484780196,3.384503415116731,3.2151681895933746,3.210240969824406,3.079284917356917,2.910458974381265,3.005677437380598,2.899458111794671,2.9093795853057176,2.83737172208857,2.9160059532704854,2.7584974940410802,2.835796533689395,2.9847452395551186,2.63996411908741,2.6012276965079053,2.6222916261993916,2.757159390509096,2.7083732700221828,2.914267742719581,3.0266006747973146,2.9049270727533245,3.1582569155175304,2.9983550149687304,3.2003127083715284,3.535798386062715,3.5393691524253432,3.7747007687264027,3.938835549858231,3.8190888995199193,3.6628660436373868,3.4485134483506745,3.238366348042702,3.1005533346097196,2.936878501574208,2.8295858137392194,2.7410462109992646,2.7483873314290146,2.804532855253755,2.8396235081035446,3.220452853125407,3.0631438576829506,3.1635023595110874,3.226264004481715,3.2725888739681657,3.171986475672992,3.2322094664026473,3.213507439873663,3.804386037888965,3.4519507142627917,3.610925446547842,3.908122324091405,3.664182071471431,3.7320603297858015,3.5694279022155033,3.54216846526954,3.550200878862793,3.531711391984293,3.569005539860439,3.4709798468757462,3.484174059694774,3.34057322550481,3.3823677745776406,3.561362317947142,3.507096504819237,3.438449708845352,3.630040487152184,3.640673137564606,3.4915619486433074,3.5593002830518468,3.7057048681682128,3.661206224241329,3.5366184460447063,3.7567643039181826,3.789378056351213,3.8717619248433355,3.793980436179064,4.005280065579689,3.8221385815780615,3.755287390466566,3.7154545822652727,3.419959784258845,4.160564204816874,4.396718882897392,3.622138270399626,3.5297513019797964,3.398101217955267,3.44078611243828,3.4589593119860025,3.5753098970467065,3.566486865627548,3.6211884639251912,3.806379085178779,3.708724829103461,3.669914349996183,3.747392414245752,3.681283816901672,3.5869299364478047,3.6228728465985816,3.4542304016657384,3.4379744328129047,3.454659964477769,3.3819259379806437,3.378001948619659,3.284573462592505,3.3474381444508756,3.3128864018412427,3.2998956166361064,3.2005201601416235,3.326764372618277,3.3308239582005617,3.299285164387904,3.352215853511338,3.399228374887847,3.4222706254165525,3.4327944834412674,3.4972945825898636,3.5325583183705356,3.543562016162318,3.509816162226162,3.4414963023686282,3.509396464812955,3.5799589902461397,3.590878276141261,3.5781789107702644,3.6219963146288663,3.6588948945635402,3.6649432775993476,3.694164154079196,3.7844633756723547,3.8152112903569364,3.708221555803685,3.7923344848857514,3.8734711414023164,3.939162064816694,3.9333332600044746,4.122915193592506,4.126435218471471,4.193091972759158,4.026527718982124,3.8743682837928244,3.8136592074673965,3.9839866102891683,3.952292515301822,4.0199645870283485,3.9164732756550085,3.782968312408699,3.61633875769459,3.547697452242305,3.316911453461619,3.274030953826349,3.264162644464251,3.347633343635908,3.6063263828952947,3.2801627424886486,3.3818771492287367,3.196696811194223,3.0566250443947895,3.341650191594151,3.3712404814047776,3.28287823182881,3.714680427928507,3.5474314358009744,4.358825553260222],[2.491846266342178,2.5139403414766788,2.4506061836086763,2.387269003413178,2.281423910191726,2.225288866326251,2.0701536007412042,1.9518196874064626,1.8467096410950146,1.8256066727422706,1.6826886129141865,1.6374855428702715,1.7371320440955142,1.7461700981813502,1.5900004532802012,1.5982724578807443,1.8297435244197753,1.7822946186790631,1.9313019662853215,1.8884075561204021,1.8496369004614948,1.7511875516057218,1.9540275574339296,1.9217816655237498,2.020535201055565,1.9575692635002326,1.892839235643738,1.8785979821348542,1.7719017702200126,1.64585158990903,1.5814620344993053,1.5314790702623737,1.4690013372676367,1.4486552318875536,1.5072884770806387,1.6302205197776396,1.5891270984927333,1.7556622876257326,1.8458280583388975,1.860795358846295,1.823398014713658,1.940133036774811,1.8809168884207885,2.054835476414883,2.9791173110924785,3.6290219267482455,3.7438738230057313,2.337794301246618,2.469279221660108,2.953090190318264,2.424451213572299,3.175846993304836,2.591593190769711,2.2129707911286793,2.7799290142512256,1.616239062146832,2.1095703115772775,1.8392355059103147,1.8432985535245585,2.0574464871873266,2.1081075616103195,1.852221924624447,1.7180456771007677,1.9203103939184152,1.8548609356493386,1.7817548980545448,2.064623422789316,1.8655356303812594,2.0367729654822195,1.838099803676681,2.1378385949063645,2.2897006406875327,1.9152972393932999,2.0641685964779337,1.7097159579934798,1.7937432276052783,1.62959906958252,1.5383656181157128,1.550478316029509,1.6207457090247555,1.5389234591163903,1.6979409910000194,1.9735772585530635,1.8039131496035663,1.784032026943131,1.7169530640046173,1.6828411605242486,1.5917903901404766,1.6185820731055196,1.4546095982030027,1.5582981424402442,1.5469775941711883,1.5470454626936105,1.4315919520482183,1.4809289060921413,1.4484993306357736,1.4954838758061326,1.463006564932291,1.5157681008676722,1.6558712576112897,1.5709004954490182,1.8416868554964416,1.7292139155953241,1.92636961387556,2.000253760115313,2.049652947752726,2.319073475682929,2.198656400040976,2.2358426249349868,2.274180624510974,2.1879613646320646,2.1139009081879365,2.0079849480813508,2.0620569116662657,1.9536620583829467,2.05850939107573,1.9470811986162089,2.1544810923621975,2.064276000659985,1.940967600668983,2.029830206364944,1.9718162179389433,2.0988431742933193,2.0870016350230833,2.0672423212916646,2.1706744250371135,2.1891377215855203,2.2481116008158417,2.3236280780019025,2.2922391111678504,2.4289928464346424,2.457326738558242,2.386526969898724,2.2953439686402994,2.3130006540514407,2.3368535962889827,2.34759177685872,2.352638385978721,2.571892730770843,2.311247770642028,2.3557395718735137,2.2723258984859216,2.171317459806397,2.1608119443011407,2.045246291727928,1.9082137366089098,1.9815403607530382,1.885417941197983,1.9040899038519379,1.8494180384391568,1.947620179767652,1.8287801454077848,1.9980688894331144,2.3527006273652113,1.880876943231349,1.7353318104509987,1.700090097109929,1.833972602834524,1.7643461878821092,1.9365736631962243,1.9982479378754658,1.9059297375140571,2.091053277505731,1.9595698718315198,2.1203908536547846,2.419176079162461,2.4316795154316915,2.6574606369319547,2.876871751087462,2.7245388506797537,2.5774645563284855,2.337977570327534,2.1649382146746436,2.0525584958097003,1.9249653734584873,1.8467843122083074,1.7644531781124007,1.825601736115007,1.8206604797368056,1.8805124078170858,2.1531532947059553,2.038897080126223,2.139744700004012,2.1818941925164697,2.22233093448856,2.1223684347107525,2.1893938487828306,2.1878092806156415,2.797468340162432,2.3782493809778775,2.584587792734287,3.030073052025217,2.6171818405165435,2.6980194042748793,2.4994849473558993,2.4775293435752026,2.4736801556264476,2.4996708641211454,2.5484317784725965,2.486081446991894,2.522472561897989,2.397603525505065,2.4088636167033832,2.59263444996952,2.588908219215431,2.512295012378017,2.6614097620927963,2.718483441297466,2.621291634229868,2.6283353909666256,2.77749186201071,2.7994170111757755,2.665225952751442,2.817862493191121,2.918547657161434,2.9554726302636456,3.002927838913345,3.084507572151246,2.9202878343723295,2.929247064740837,2.9014870257406757,2.7949590559267885,3.320535042177196,3.5936971618478855,2.7935524873749165,2.7022838496535337,2.5476909031430433,2.592829283029048,2.6333436293920416,2.6707336289673966,2.6519814195358826,2.714326184941032,2.868919684108662,2.7435550932580868,2.7089573490658148,2.8019598625104507,2.727957500396379,2.5904855970577474,2.638165284192539,2.466612190407266,2.502036368793269,2.5630125700588176,2.5218199122410634,2.5906472206279174,2.462459876518112,2.482465881755527,2.4839746779465166,2.5095214856454513,2.3716746865477134,2.467139312451396,2.529142627459723,2.5035072995433456,2.49929099709041,2.6100842005777647,2.6733994122659714,2.651428286098872,2.706632222249476,2.7841040528935133,2.7515895358369704,2.7246090502926124,2.6144386385474743,2.6876013023636927,2.7742107367583126,2.717799351346228,2.704781338574143,2.766025625023655,2.7811227277865305,2.7426782413885338,2.798321008373088,2.9129185660939636,2.8723008363718767,2.762368898592914,2.8876144866868034,2.974269211283012,2.9665529274012847,2.9457295537551493,3.1432521763604586,3.148951198516438,3.27549154670908,3.0563595677312874,2.8960538695830973,2.8163593421013533,3.00959718632867,2.9690418072727467,3.043392472913393,2.9238023938497313,2.8042731795522284,2.583281888895036,2.522068535087728,2.2795320931699883,2.266287891122037,2.31229417772827,2.4249589330512644,2.8154528913188495,2.328695750817482,2.4465623206844516,2.309580693386336,2.1543967486526103,2.381875131294757,2.466616550374779,2.440859979517309,2.88154017750173,2.969551588292051,3.7889035050873816],[1.51131857957805,1.4844136678084718,1.4784344352056247,1.4468087633489555,1.4226461339620964,1.4530930680198006,1.4076021491328163,1.42340404559851,1.4195119980703488,1.4209776726068362,1.3889234293604764,1.3737257981530808,1.3891590531381937,1.4292816491812421,1.4231289909968456,1.3972088878818107,1.4738938678398117,1.509756306379216,1.5496717554045565,1.5540634467446437,1.526505974261442,1.4477300516497666,1.5701572394647452,1.5278531220234666,1.5614271936946955,1.5170581941851247,1.4617193537937376,1.4675883925855238,1.446831224914062,1.3853002320027337,1.4339984496662888,1.3757505442989977,1.3593242978181712,1.3797609199357956,1.3558062213099868,1.435011607983737,1.3624131925482819,1.4300726320014345,1.4238417822710348,1.3913405856766823,1.4587082470300798,1.5243964939832209,1.4824731607956942,1.6040945417656087,2.5451331435932767,3.1978906321511933,3.2991862134211636,1.9013409945367306,2.0210427684403265,2.5260798385870604,1.9664305149664167,2.7317624868505384,2.145226559447684,1.7978710266051265,2.425483440387857,1.3739739850156738,1.9999210852533598,1.5882167017550426,1.6829912810573442,1.6900349283643419,1.7950976983355296,1.635143584828485,1.5412808296866265,1.6695757100360338,1.5482893428120104,1.5191228810236475,1.7848984222765691,1.5943785058246387,1.71295350571158,1.5843614665404964,1.8376459165047832,2.0054370712426604,1.6374995114595143,1.7346676195363433,1.5341768788629606,1.6624314940933806,1.4812050068316356,1.4454038090644354,1.4231782990986142,1.4003292406640673,1.3140605742443885,1.4437509988598158,1.636721550594648,1.3612101117075446,1.3643347622744442,1.3936660625729889,1.4187821718255227,1.3812419405555711,1.4207869446843475,1.375640500517058,1.4399794442046374,1.4862933465274848,1.4940719018917932,1.4091586849915203,1.4217782563691272,1.4323639872833807,1.425409491471931,1.374704716618484,1.3374306752081595,1.3953573449268872,1.3197132955859527,1.407024345571498,1.370617445149179,1.4003778649680132,1.385719032219691,1.436577451146461,1.5818104699740643,1.4870821444123419,1.5070704127540653,1.542112381195006,1.4716210760743718,1.4227670092362164,1.4045756779159386,1.4421917030185099,1.4577223816892526,1.486827209994898,1.4731966929725981,1.5389001996947316,1.541783021177234,1.5402187437555779,1.5647919760590283,1.509101418671501,1.5106226347875908,1.4861011549206327,1.4479467108230462,1.4535136208043513,1.4494678001797583,1.4970956077724418,1.4856275880563907,1.475784914401082,1.52624076473361,1.5456815042675718,1.516576419706125,1.4954835082307016,1.5164632024061162,1.5806675178598646,1.6697688653698002,1.5558630432989176,1.8546036965896064,1.6201416097249495,1.6089566446908465,1.6489175393283166,1.6005415456554895,1.5605384938813933,1.5036863061065266,1.454785376478242,1.4651804393811794,1.4330430367016431,1.4092461607939542,1.3742024661219028,1.4298424153922034,1.374526365250529,1.547314098200065,1.9829135122818649,1.5599735665182053,1.367821857572317,1.3446869370930796,1.3817579132509519,1.3857340038689883,1.4296174661399756,1.4582707711249203,1.449711270222836,1.5058960495798017,1.4336873439702336,1.49646995151053,1.6708800005538083,1.6555677371599784,1.8541652341240267,2.0511037205853597,1.9137105145817057,1.7582977601387764,1.597879095619389,1.5074876616154242,1.4754062755144424,1.4366667573419238,1.364829667510898,1.3796740938066203,1.4333857181205762,1.4040659412758598,1.3875304126384593,1.5988675273999684,1.41076667054708,1.4370534083044701,1.4591320687443676,1.5265654067431578,1.5472806832355959,1.6576467615919832,1.6527468325749652,2.327572301736603,1.7749795102409858,1.8477741572039286,2.2755463731660397,1.7873313973947222,1.8331345114922133,1.606596369836863,1.5517771764868238,1.5547012282981303,1.499530775998954,1.5072893625277304,1.5174740234597934,1.4657666093762167,1.4086158243683817,1.4592282984852085,1.512735319283722,1.4796288663757189,1.4584275700358864,1.5737404192878743,1.5582540020692128,1.5102002967518398,1.5072025813283707,1.5891797266467864,1.5956596640852954,1.5346285712187702,1.6377493701628651,1.6847115599947406,1.721122632749779,1.7759369762024517,1.7867605674680767,1.6537527442294704,1.6719954784462963,1.6572150890438258,2.0387782487522945,1.9515543380887912,2.2977300298557557,1.6000747219524687,1.576436163909125,1.51707907081466,1.5441517011278876,1.5719042666563707,1.5478417269161608,1.556086077308829,1.582553329666034,1.7444347195367709,1.6224341030094382,1.6645813240630276,1.6984925328706904,1.6287957728757732,1.6258994956526807,1.5572041708731568,1.4793034670068455,1.4764503590868026,1.5164174669340214,1.5874612831980557,1.6975017696304335,1.637087772823273,1.5658551814548582,1.5486126555678128,1.6971144600118315,1.5834497059331651,1.4861112215409435,1.6221582907539314,1.6511005503456477,1.5073923045033577,1.620416743762907,1.765260571734864,1.7067566132684875,1.6277440112364572,1.7119832801304282,1.6062211373346151,1.6204713239228787,1.5542193198046066,1.553797518748641,1.5714538701792222,1.5286117061530913,1.5330630179466025,1.5381664071530212,1.545130602647564,1.558464902330082,1.5765288743814627,1.6885032264033255,1.6559944580477821,1.620020993917762,1.695099101735103,1.839562886723985,1.750983777188948,1.773083017654766,1.9740968185666066,2.0506535616125263,2.1102142316830483,1.9188692330985195,1.7102499484470604,1.6855500250196354,2.010761292648453,1.9589906664654302,2.026039223570345,1.9470446807370105,1.727891621515524,1.5870590391388824,1.5260617882667304,1.4186045646769725,1.402579198138616,1.4688208495867618,1.5034174070523452,2.0372400051470394,1.4998640409963606,1.4909453388076135,1.470486265630975,1.5176636761125797,1.4862822895156604,1.5064836195393365,1.5964198359788686,2.096359450356953,2.6899720844701016,3.331343980331175],[2.0313675365931014,1.9062575578336742,1.9180373345972541,1.89948926044416,1.9864080816017093,1.7711062306926333,1.7622072596343137,1.7796027604029931,1.7724169751301173,1.8052875646399205,1.778198474240784,1.6915336773507783,1.7729632483377,1.8639490424628529,1.9174833485991984,1.8466328729923902,1.9060410442965618,2.0287004555909327,2.1323182843053274,2.084007261996413,2.0498026303132297,1.9419607765621476,2.0754009392891253,2.1848047228976974,2.0409650212090025,2.072129848858671,2.0324548314184225,2.0108582884363324,1.9572730785834591,1.85459141918063,1.894210099758349,1.764855611857419,1.7659937983530074,1.825983573736807,1.8130450795450725,1.9077485756721673,1.8012995924836905,1.9477498818335075,1.97226217828325,1.8980104657134458,2.1903130504606203,2.093670601451555,2.0417963999359965,2.380491894310312,3.424644174324424,3.989445108718916,4.1845817873485345,2.692386595812534,2.521741100697838,3.1665386406810954,2.3755855916132127,2.3319217164224804,2.164565540601194,2.3966506521972786,3.08064592208504,1.8210300960027037,1.9432773669252459,2.302671917631917,2.439322002156178,2.305177176703598,2.393406510720655,2.0987468976477888,1.9304282207001024,2.0277487604812308,2.0663599436432203,1.9742991869219564,2.130064245380652,2.0782323749954537,2.1744097080092684,2.067548447778367,2.228445204210715,2.4217762081641028,2.1615379950730063,2.3197147196135726,2.0109835757675443,2.2014291994140205,1.9551501363564499,1.9192415633923752,1.8856574405932371,1.8938795259264258,1.851986462301653,1.8532315327112534,2.058057951352963,1.835591576246492,1.8454523666955394,1.8406983214634638,1.8988165036057978,1.8611403689830452,1.9050540451506937,1.8390675449699052,1.923757677993763,1.9715335996929908,1.9402341054628836,1.846765843736644,1.8563759728000073,1.8528340893646362,1.8488232644436424,1.7480781088226343,1.6595026647757543,1.6731582434453431,1.652237991639655,1.6136994162426577,1.6809550743805037,1.6731273475384294,1.7073141038537454,1.8261139605620476,1.8086361532904414,1.9302265960996166,1.9619128321019426,1.7863104639501812,1.8602699636650009,1.7402041542393532,1.8090503511012204,1.820107226721132,1.896019601195609,1.890357194062181,1.9942438913715042,2.037126114234101,2.001901748588955,1.997829677108971,2.041956216372198,1.9483756324993582,1.952647511437059,1.8803367980069359,1.8377833164751816,1.8527735077617264,1.8794585738637544,1.8034366991238966,1.7701425982054846,1.7116177955957104,1.7876750440964153,1.7669115389682746,1.7964009554740177,1.7763115522918893,1.8236315166469852,1.8551949396145901,2.3841788012044995,1.8241387269357907,1.5330455181144276,2.031925618869618,1.9220753918249576,2.0810261697553183,2.187254474114814,2.0338091150529016,2.0074119611341654,1.9995974621496446,1.9444185832124576,1.9003212124851054,1.7926257685313594,1.7677686778792856,1.7684983003187418,1.6938075160409425,1.780508938519923,2.199038363335484,1.8256815704072047,1.6379786887090364,1.645407589901708,1.689953661997046,1.694519002576093,1.7642944426527192,1.8508822991070015,1.8981212859157062,1.9558516116415023,1.8944941234191364,1.8481650843277728,1.9943464706678433,1.7847982749383295,1.8441143877428947,1.87731277494513,1.830692830549683,1.7587772334668308,1.901703392437163,1.8497294258399963,1.8531115634767248,1.8458472959469205,1.7454231485058584,1.7540154381936564,1.7076950619916176,1.811082804478798,1.7458957549109009,1.99019400768224,1.7534247124228681,1.7639151590637272,1.7499472434675525,1.7827763517838102,1.8952871920321155,1.9779290759792751,2.0836641380694942,2.5987407534766107,2.122756484970408,1.770114490511615,1.7993830610627464,1.8819100257887267,1.9769821505676135,1.8189062614449802,1.8736301773358177,1.9018881999160484,1.8165855267077415,1.8512766576089768,1.8223082138800923,1.813239782425928,1.7985998972393231,1.826137113647529,1.838860281848287,1.8173163172929518,1.8003901966093825,1.8883605638623584,1.8628338178365114,1.8400034027523953,1.8325574537291034,1.8808678145544688,1.8931829495667745,1.873661906971693,1.8803576091471454,1.9479459883079508,1.9367512493526728,2.0033996424985476,1.9616283201897493,1.904598059278,1.9483004250956302,1.9529707840591846,2.535371333331868,1.8969055147919631,2.041343963026463,1.8519594230522567,1.8986695035888594,1.9113293681556338,1.950105176753935,1.999166611462059,1.8915219611537841,1.8556079791372044,1.906826557884126,2.0195564099950345,1.8841864463096407,1.9300724038382941,2.0640301228376905,2.0188651327836804,2.1211590008649663,1.9034204685435385,1.8413437978124227,1.8311364898680573,1.8264679789440064,1.87303825678211,2.0571603833225285,1.967713031138706,1.9164460801621086,1.910507631384654,2.0011881799623414,1.9915871990093053,1.8554675530541616,1.9556406500643844,1.9910389796209813,1.8770627215242137,1.9645834808128977,2.0814095215688906,2.0276767616196927,1.9516816816083706,2.0068724372805558,1.9084979148787977,1.9219600074061334,1.8984354170225286,1.8673499550422867,1.8739963504950883,1.8439314183129605,1.8512465927659278,1.8758737009925557,1.8774838487313295,1.8830128853250776,1.8896709440817454,2.0067397853917477,1.966274135857222,1.991107324145186,2.025643487067271,2.198010878164024,1.992932263021538,2.030373299200732,2.184817996764032,2.243837443204368,2.207566445509656,2.1350122450849898,1.97311980432637,1.9265418988469514,2.177644968482451,2.1566528410634085,2.2155593710126675,2.185510280206737,1.9908330283219136,1.9465555280205775,1.829909281241144,1.9328610211915274,1.9227785672249702,1.7804985391248949,1.7535647183774,2.0310846322343363,1.7581024672904881,1.7793949034655134,1.7765920443124943,1.8572509186724602,1.764541779423829,1.8188581044139596,1.826158891437056,2.0022680257674144,2.9169208681485785,3.2944846030113557],[1.3739767455983718,1.2723840243026103,1.247955533513846,1.1452736690581424,1.1457039430248652,1.1170206280415806,1.0483131089319588,1.0571639678671558,1.0076553286776242,0.9931587687969564,0.957233160238668,0.9717711510632474,0.9738451978079633,1.0238159278598535,1.0657002070898676,1.02268657598712,1.1209716877316878,1.213233664187228,1.3624493067832693,1.2914348869894627,1.3027645336715796,1.2462766027257495,1.3554244784750422,1.564602023985074,1.3359482843811201,1.3737098371348628,1.255952385513254,1.1948753481602863,1.1231427700714443,1.038327509971752,1.104928983686135,0.9984473559025713,1.0424150870504751,1.0675824682221549,1.0187822300606535,1.0933198153663408,0.9738196975764364,1.0999684803321088,1.1288623693110251,1.0601341993869946,1.4260636568462077,1.2869501521281554,1.2210193144778372,1.46629167620617,2.4587431238450765,3.037493767024533,3.163206315728438,1.725025862620579,1.6396139534508711,2.1920522279448655,1.5120206391357776,1.9406976799308902,1.5663625048535692,1.4434583297663777,2.266512100598143,1.2322108679993131,1.6666589374103116,1.3324707514124574,1.5351996277301883,1.4276667535236272,1.4655142096648295,1.2628722001100892,1.1702492469709593,1.328675639000012,1.2895073653824274,1.1550128830300272,1.3706052253812357,1.2945750905661453,1.4672776139038672,1.3197242203073096,1.5673706065513016,1.8917506640557755,1.497180756307358,1.6849066669735275,1.2422239816459462,1.5941341136057774,1.1559187802730078,1.1390288680956335,1.0919592165047718,1.1170591061634687,1.062833393959331,1.0509800826538431,1.3374688637575947,1.0424069228113546,1.1081283812624347,1.014779162204193,1.061393593709311,1.0343590986214954,1.0985461582843299,1.0553002177772512,1.121080267901212,1.2427954132524137,1.1781631809629707,1.088089418513016,1.072129165007533,1.109510412473745,1.0872475039156544,1.0191115389703127,1.0127943686339032,1.2209132836584322,1.0202467121151197,1.1946557027944997,1.0465071091731517,1.2085625056027431,1.215105734423239,1.1589233752008743,1.3804779277458112,1.217102149215363,1.2298827105346508,1.256310752784558,1.141827960461744,1.085882481969646,1.034969052870736,1.0753215052342957,1.0920178258033733,1.17210888407136,1.2043774269497383,1.285380088701899,1.3135121152646378,1.2474939880183864,1.2813299184226512,1.220062496548077,1.228432536424001,1.1438049293532873,1.0945279662033789,1.1005452177128556,1.102309845097596,1.1182605503351761,1.1406427732294726,1.1583315169735797,1.1875130063251533,1.2586877258161049,1.143752272637713,1.1954404569041366,1.0853181118712227,1.0923283537374784,1.3999762297087077,1.0762097211982342,1.323431487214403,1.2007306771160053,1.2259508385726847,1.344868967130693,1.4127944384156415,1.2446331161332498,1.2023459084099366,1.1542078195517627,1.1258867419277738,1.0451513471932001,1.0197002870847323,1.037668937512258,1.0986014876745684,1.1041017758854668,1.3838167313147909,1.92194284312139,1.4008602931707264,1.1309746618134777,1.036294829852879,1.122813635771912,1.0568458778372753,1.0937513545884576,1.0550842241971898,1.0745830596308772,1.104963965232253,1.075790651485143,1.0601064866395336,1.1826544885772188,1.0986802481538276,1.2604068929692116,1.4572898041287394,1.3320113941175977,1.1806958189452617,1.082514359357521,1.0442015638894158,1.0335451932751254,1.0393089443915147,1.045058008338587,1.0242023723973193,1.1539910299937364,1.0522800874120903,1.10928594864564,1.1607051474383299,1.0469329286325986,1.093106713149156,1.0862119612007832,1.1110701493835913,1.1388435453303944,1.196991642174647,1.289600468792612,1.8754610178905258,1.3321008988037863,1.394590611538529,1.9181373714132945,1.3780864665867216,1.4424082288438502,1.2193362225534679,1.2101058679372954,1.2369675062770347,1.193850715725613,1.231706812239263,1.2888447012481592,1.2988198889859994,1.2878165016586591,1.261776565005942,1.3225184213521715,1.3899021940927807,1.359572418796067,1.3651331343245374,1.4479192818904365,1.5185605963298319,1.4152958534974887,1.4773214545984896,1.5800341989762665,1.551016550706815,1.5252157854723736,1.627954390908793,1.5756801788447936,1.8068550848823228,1.634016508256158,1.5526151310783909,1.6706727417676805,1.6619553837404728,2.0495985778511736,2.0233823582520363,2.4341369314856953,1.6398188975947774,1.6299620046108596,1.5155474452755318,1.513383389494334,1.5283572441003996,1.432694027092464,1.435343122553974,1.44583016559536,1.54521358601131,1.4182879591948845,1.488230881109544,1.504269974173774,1.4450178989153983,1.4220702040311008,1.342283672181317,1.2665698772877731,1.3353720749817362,1.4490128765202182,1.569333812937062,1.7938233344651657,1.6289959806709426,1.514147450998371,1.5973146659078508,1.7628521110220061,1.5583472958787246,1.5082847389915268,1.7142735560751372,1.7311728538401565,1.5630190093166625,1.7181599058424668,1.8922398782630454,1.8195943486111976,1.74627056788777,1.8758945717090778,1.7141684571643105,1.730214825792576,1.6054928387380087,1.6210237498724884,1.6550358554186149,1.5201050842924229,1.5044726240525834,1.5166657402652586,1.491349198960366,1.4278822781063467,1.4782814538598374,1.5641163413522332,1.4634970859459326,1.438163259697137,1.5056971829299552,1.6321043490574096,1.5052588752597116,1.506880875946011,1.7078692006907927,1.7613653115336114,1.8902449912261985,1.6467570195230044,1.4824802765402447,1.4413984228670742,1.7182366404835037,1.6699621942808673,1.7298973571341045,1.6741117211454057,1.4940269228772465,1.2765230278365336,1.2301973832653057,1.1687628422238963,1.150690238278655,1.2886817166974587,1.4204664235813464,2.153043745342804,1.3082709560117054,1.392605623967733,1.4098753383105642,1.3584351807875616,1.3179231214258722,1.4462177902126487,1.5731146607896835,2.0899499910687696,2.7497352467065044,3.5879542903775365],[1.8166141339327253,1.8340979307187275,1.843408996072757,1.8704067013081092,1.7792881099143125,1.942662075323843,1.8940378067096746,1.8276462352226732,1.8182792910419523,1.8117909641913619,1.75455169033749,1.8045058723248573,1.7841954906810995,1.7489277599052862,1.6400751471332178,1.7066330723962508,1.769216253799107,1.6839648690647018,1.693154725483345,1.7173041219851164,1.702722045432984,1.7979840103554368,1.718564333191212,1.7887512120958857,1.84823449427466,1.7826571155221487,1.7270952382503444,1.7229569068628008,1.7030798536930314,1.7174706949140848,1.681553236140633,1.745867299019625,1.6926726557756313,1.6689095761279855,1.6899394177699705,1.6977851725927133,1.7243785010122055,1.7118899570672557,1.7186691439473163,1.7631440986981477,1.7562626477737633,1.697844594243594,1.7325729221029265,1.612275731605757,1.7607561351923835,2.286091978338229,2.3227879463382783,1.6913050225634578,1.9421463562216206,1.9861666222554424,2.1129728420086553,3.0584545048773326,2.558431821716768,1.952816823378897,2.3417484115956677,2.146525687879124,2.746240426394362,1.681427298120586,1.6731906553848297,1.8321046998772752,1.6642833587344512,1.70550764819492,1.7885907942855594,1.9798603882199803,1.7219163409999874,1.7292828290641344,1.8686266838137522,1.7003394192077055,1.8141571666972154,1.7282705513501249,1.931412700264831,2.09811786100231,1.813560020669671,1.8575296419788319,1.69508692239997,1.841148965193897,1.7132082017611705,1.6740344669328,1.6983375164403414,1.7351660174025207,1.7111245606757632,1.8072833041971987,1.90768084115704,1.7783247249206364,1.9110460397464988,1.7718009081791404,1.7207119127886494,1.721437905775475,1.6982922867501666,1.6795454746527019,1.666132362055557,1.6612538899941323,1.6626070323650104,1.6286779046473132,1.6556387453958195,1.6386829205638742,1.6969842115382952,1.7097287421653222,1.7963895296265078,1.907844867552092,1.81016247071204,1.9833113815981318,1.8629946056293842,2.006834511017967,2.019747630787782,1.8734488154226911,2.0621392389882476,1.8267189543350522,1.8042691390571304,1.9543981126676544,1.813358696082933,1.9265440488376424,1.8301510441271343,1.9034336077517091,1.8100131563350481,1.9038798946305198,1.7852704830157193,1.8128066444260582,1.8537488559250095,1.8211322823872909,1.7956453782050659,1.8431524042683742,1.8237260629383452,1.8941197179921256,1.9027524502599367,1.9005789220220886,1.891588964212847,1.9581469566839445,1.9910055863847866,2.059701490641467,2.046748988687914,2.0924511392375655,2.008739729441931,2.0574842606419117,1.9614135485753177,1.93929245237225,1.576429416037133,1.9350913568955164,2.605366311437126,1.8534935864956485,1.9768992156551677,1.9083438005637212,1.7832791419709788,1.8260375583840054,1.7886743371276004,1.7260080424886532,1.797490219281431,1.7728185233487985,1.846527297942024,1.8445472265733172,1.862585251693467,1.850213853378238,1.9869700675569886,2.3411320752737566,1.9989275104181108,1.8680970865255058,1.8633864773840247,1.9209002243290045,1.8906198363061033,1.9315640877075466,1.8699327224085605,1.814658162008103,1.8015403927799831,1.8272220936115402,1.9382288305379494,1.9085840026274847,2.0631434545628573,2.1890000331944024,2.422486804847058,2.2943021690489687,2.184856406797916,1.9067677786959305,1.927648913398208,1.856745709579114,1.8421495227175972,1.8830281310667654,1.8336426577511136,1.9352162022745347,1.840130746990916,1.9540316873092611,1.80393790085484,1.906151380010777,1.9613014845713084,1.9870218848714765,2.0170194975458244,1.9485957351497094,1.959438837670118,1.9319331186940656,2.1754187604882445,1.931261262841047,2.390660040740565,3.0491183063957723,2.2661414252265293,2.238878220212387,2.091834914728837,2.0010736836835394,1.9892329262534385,1.9569013147363048,1.9341403330208282,2.003725438122247,1.8988869673427764,1.8621907606574237,1.9146195583164625,1.9249361881690144,1.878594649909309,1.892225840631736,1.9637888862805275,1.920048337911688,1.8771009311421794,1.892411521847795,1.899557580651124,1.8689284745361785,1.8719684188228816,1.9594370373238832,1.9116523085803248,1.9492712651971125,1.9903537002592624,1.9622836389384395,1.908534410437444,1.8865455437658634,1.8770932831954614,2.2090322616311964,2.1754672920713976,2.587374402478053,1.9324413761053563,1.9206706180499913,1.882656253859908,1.869947700243045,1.8830175388467958,1.876619786206499,1.9113320112415324,1.9002111582281132,1.986600943477745,1.9716406549178602,2.0587569221830386,1.9963767654556641,1.9852865477848496,1.9570964150422114,1.9627284496452202,1.910923999424326,1.9074737245143325,1.9291522563433043,2.008186369569827,2.1083217678016535,1.9865317904501385,1.9316697759183667,1.91994525125624,2.0571296402309978,1.934173682496709,1.8701613465554463,1.9395060788481477,1.9592460343070126,1.8641466329645127,1.8960414490500526,1.997000758227591,1.9736440725728235,1.8954366634129949,1.9461486180116703,1.883412573646965,1.9103322388875195,1.8870878970463036,1.8947380142781587,1.8646362375094374,1.869208977917635,1.880990936872479,1.828400998183149,1.8276790241197522,1.8851915338700393,1.872222229163646,1.925179703230102,1.9029070419186238,1.9122011228043265,1.9162493771397264,1.9704655021930777,1.9696372638711344,1.9886268296618568,2.0996381161085464,2.191869139954938,2.2658299431255617,2.110261185451197,1.9733109875322317,2.0224314656485776,2.302639649558848,2.2706415068269696,2.298596932066951,2.261820087214032,2.120255015420858,1.9394447971236475,1.966456919433749,1.8209436830415529,1.76480284472347,1.9585383774070773,1.9928206355593614,2.7335465815841693,1.996768626800727,1.954986978742606,1.9198484602275534,1.9338169747407201,1.9829161844218746,1.8930602626451705,1.9776187062487682,2.513694472015528,3.016857728598464,3.8848660578079866],[1.6353977221231166,1.4256163999040763,1.4073938911534942,1.205077811174639,1.2899718860188278,1.1002364318994535,1.0000160537455396,1.0723007514366407,0.9227996273542498,0.8023035988210928,0.7505097359401405,0.842196088964189,0.7685259214619405,0.7270493130048442,0.8006941764936022,0.7806688402527586,0.7865341873791774,0.8074877745204545,0.8393366802468932,0.8493846155725627,0.8269882078645525,0.8829373049891377,0.8828697605179395,1.0838675386977805,0.8762883909483462,0.8943116568529944,0.8575997882194217,0.825644683493473,0.8121840770064621,0.834723558064224,0.8359037005904575,0.8363517218200373,0.9387640206299512,0.9023748099594457,0.8458550506923994,0.8147043363758627,0.8321556583616805,0.8316346575312654,0.8519780177693247,0.8354673019883833,1.1103487719907792,0.8494564203599092,0.8066269898487123,0.9915098497315744,1.974402822456979,2.67223770670178,2.710533410796113,1.209763633453232,1.241856003388814,1.8158578548343136,1.0727281688031105,1.6711136935915663,1.1982722347258958,1.0513496875281285,1.9936666735842106,1.2888040077301688,1.6853332890506043,1.0812535545990638,1.400620407873867,1.0095650336786701,1.0374367509719846,0.8938423835711786,0.9175124532472542,1.16755312780948,0.8776196793119592,0.8029918335582731,1.0197288713424466,0.8630723752135339,0.9876691320323048,0.9087279337052951,1.1397321203993551,1.5719289701415193,1.169222815771485,1.306053202392322,0.8848348114752943,1.440674465351417,0.8490237304438921,0.8937046303300237,0.8392687795146642,0.8768186628649932,0.8899200644799294,0.8557267251525315,1.158715610482287,0.955047259956573,1.0117179969269934,0.8768847916280496,0.8291525198383721,0.9185963489571903,0.8145233678372993,0.8685438693143829,0.8505573680150321,1.019089940727731,0.9400365233104586,0.9089969598140253,0.8647524349388674,0.9172421801732168,0.9162927969385632,0.9037078845866288,0.9237229747727038,1.1668486010140393,0.9770848954894372,1.1304467522386683,0.9963862452056335,1.1668987345622437,1.1407530968097848,1.17673301341932,1.2846795983146375,1.326687547142238,1.3823196776428508,1.2113315120324402,1.2332413670125693,1.0037259396870364,0.9937257982188366,0.9210186589875825,0.8443254369154719,0.8470811934373416,0.8577233772331195,0.7980682555140487,0.8433953520381257,0.8150820128378135,0.7907354362953083,0.8079612642473767,0.7982455929695732,0.7953690079588956,0.8769474652565057,0.9464494125465762,1.0960264857726518,1.0480049129384683,1.0508815466028918,1.033171849669413,1.0664099438667873,1.107989325642544,1.0480743851219978,1.1014984657076317,1.0397438222943414,0.9977291613190112,1.6478278596866411,0.9293714678041104,1.1310950700212452,0.9453484241481419,0.7954265343053816,0.9369442585749548,0.9643180712502636,0.8560959025976851,0.8631131200342816,0.8839455275211638,0.8645024189257389,0.8707987808296636,0.9475296108238916,0.9996659406690427,1.091171045420454,1.0990784893271424,1.4054651886404026,1.9779348888703447,1.396135745709149,1.1279922024815414,0.9574229622766333,1.0819510672037316,0.9510308746441171,1.0494237877177908,0.9853557843031728,0.8830681719120324,0.8958825960107488,0.8778315626319012,0.9267600844452882,0.9648023592327212,0.9596725376058568,1.0754454794985935,1.2803971034628971,1.173675879111162,1.0036642272670775,0.9497437026304436,0.9330656647734515,0.9579703956479368,0.9536863635781208,0.9918532961500032,0.9315075707068416,1.0698407269142296,0.9632833593098183,1.0579034077867864,1.0576070818008299,1.025490009514155,1.0272013806164486,1.0118094741712016,0.9793237307329143,1.0153628238409003,0.9520197301435269,1.071535394880856,1.6456824390504676,1.172006433567191,1.1904576067294763,1.615115723292973,1.203747034015646,1.175919843089483,1.0909574191948532,1.1918183168530179,1.2735316762811053,1.1977318741900655,1.2550727324126187,1.2525214982584776,1.3692212048191612,1.4159230976007486,1.338999773403803,1.341123602146506,1.4557253094751008,1.4193311273628528,1.3429660147751898,1.4399360129898975,1.6043982358413813,1.4549414967172762,1.4680360160212549,1.599039666388671,1.62224749565526,1.500171072198178,1.5833825797373107,1.5205703033560014,1.7390067638749307,1.5424883855854885,1.5113265025312652,1.6468695072873114,1.7153426006634747,2.8263768312370314,1.6544348553459065,1.6813191745278098,1.5959231088022416,1.6730718670382003,1.7194741855482425,1.6562152398371173,1.7238698922538902,1.5259799043244158,1.502140806240092,1.5063244821407074,1.5471820708979085,1.4037171874751846,1.4834828306381749,1.4601191194482546,1.459135581812275,1.5110423264016832,1.3361204684899706,1.3750007904248382,1.4379039718111772,1.5503287304482622,1.6818874059106304,1.9897155874334729,1.7760545783517148,1.6505570446503413,1.8131646459598625,1.9101606365302872,1.8215454582265342,1.6683816866113519,1.9016471302639477,1.9374174792606589,1.7272750982496157,1.8888370576298452,2.075925071018692,1.960311047284429,1.8368618225077324,1.9334258360757843,1.7718012230027713,1.8078189545632535,1.7492241167710323,1.7167793833206904,1.6977505012771799,1.5799308705374222,1.5567046943697687,1.569051847783023,1.5332641951106811,1.4449236936364018,1.4962777169083792,1.549534936825328,1.4474530228670475,1.4765363365236415,1.5248094838372457,1.8045149676750398,1.4906302905804967,1.503631974684398,1.6125350427716572,1.6809026717633608,1.7170802907682177,1.5621781084459534,1.4436766781065178,1.3777449580573555,1.5706276600074722,1.4922724458480092,1.5508338582478087,1.5386987964331098,1.3690017396689498,1.309051642674264,1.1948295282922599,1.287529424436557,1.435885226208707,1.3081022523211807,1.3498645918909906,1.671715443406487,1.2366667613004692,1.3647298228486302,1.4707229278373695,1.5410849625336898,1.291944855380734,1.4766545599125365,1.4970447928637538,1.5325400345910891,2.730450605450545,3.06241716296674],[1.4297012636904414,1.3489317561643317,1.421139910025786,1.5176277127102134,1.6546412900371696,1.4037466556486842,1.5058164067293527,1.5083321017145999,1.553595800468211,1.6460839816474457,1.6463616896269517,1.527532495449595,1.631953210172058,1.7560718787472334,1.8508663841772262,1.7535910651716604,1.8236079366469236,1.9575355654049016,2.075318805551886,2.0096148386963435,2.0478208002154137,1.9755756580889279,2.11316994971475,2.321030290396777,2.0144152125606807,2.0858073208097427,2.029744087894624,1.9632950534452684,1.8914276305472781,1.7749398909356562,1.8073292142442199,1.6341716997347506,1.688943685502237,1.7305843770756433,1.7189012196556486,1.807688235031088,1.6944786732063264,1.8579693820777068,1.8932080097358437,1.8025880033228623,2.1782067612249567,2.038581089754137,1.9468666081662158,2.2263716384541263,3.216875779826896,3.723443167417135,3.793904295800803,2.399303982581663,2.160673857845479,2.7463939794691377,1.8781999835100656,1.5759175826670953,1.5277797401949305,1.91509624862058,2.714624483503304,1.7732337493997823,1.7433842020621748,2.051098288058431,2.325940555965141,2.025258490030989,2.1488553714868632,1.9227423561559271,1.804573206326567,1.902845418320159,1.9685352457683072,1.8609762536536643,1.969512189816701,1.9870031761456355,2.0617236733988187,1.9934657520091925,2.094112610677906,2.3871873724814683,2.1013891680718535,2.2903375871643683,1.9196588093259561,2.3514691246443755,1.8459551434353523,1.8045293945960996,1.7744308545763783,1.7939446811733326,1.785376525633363,1.7049814211969954,1.8754870264045589,1.7143650411341584,1.7431678684848253,1.7200372419280816,1.8146385092538515,1.7608129982305991,1.8204261965399544,1.746432609051957,1.8127470065281583,1.9153203801132335,1.8163673553380801,1.7677429719455173,1.7621214242530188,1.7717180089280313,1.780963553411132,1.6337498000926645,1.5389538916927787,1.5157634386831373,1.498566770209458,1.411652280740674,1.4807727389836554,1.4547609093790108,1.4783010975544941,1.530904523385083,1.507400467099364,1.5878101770314335,1.5969315732839091,1.4328678010363252,1.521060960753262,1.4648067853156745,1.566292873449676,1.6289408076513943,1.757063383786401,1.7924898607198865,1.9318431734914798,1.9592785748360233,1.960590558460848,1.9283956649557539,1.957917648987488,1.8921880749066886,1.9250144885140954,1.7730912232604354,1.6803641290510747,1.648773132279254,1.5013407770893197,1.516297608435814,1.4183031232448164,1.3664606482104642,1.3667259900122601,1.3301247263086182,1.4187433476314415,1.4475513678024305,1.5052181912476663,1.5564082891057323,2.2389352521153527,1.6095568027003464,1.3399459798186122,1.8347741472428531,1.8052829065165228,1.9920258023459816,2.1121107734721702,1.9080946160662857,1.902415637791721,1.8964141065314,1.8097149194318576,1.7204549306449266,1.5911488745252442,1.5857942653463464,1.469358170679406,1.4481684279877893,1.5252240007734779,2.0332146707612355,1.5962204891831255,1.4218226680495245,1.4464873030483187,1.4422974141681797,1.520098964052074,1.4942644773755873,1.6384632703275503,1.712772221348617,1.7958671235201062,1.7539421268935622,1.674768726283392,1.7919633614620065,1.560762782436374,1.6017173732983407,1.5668483426452153,1.5866911301507178,1.4659846732517505,1.6767101753908233,1.6118674389941432,1.6280875925560248,1.6239736611556415,1.5487337684979736,1.5915780829807802,1.567000294117835,1.614709487843311,1.546481604521615,1.7428502107452375,1.510689328235725,1.490818795195985,1.4901139550717042,1.52064921470847,1.7160351334108495,1.7485885264224479,1.8849463260014616,2.3323441852048044,1.8850382808686312,1.5676764113553587,1.5092721840752277,1.5566513636477723,1.5550982707093752,1.4318161736247577,1.4960775483422948,1.581433582577243,1.3736668841200992,1.3587177435022324,1.3237005759663865,1.2941137888268193,1.3171199934323616,1.33560907761887,1.2778562786592758,1.2684980200496232,1.2688348469388095,1.287232860483425,1.249591362460544,1.3200625810269353,1.258112212901716,1.2535543415205588,1.2868298272564573,1.3189807117396806,1.287794972462292,1.3020052696879794,1.3068768348924218,1.4527627094347273,1.334397070994889,1.2701179363745978,1.3445398857350337,1.3943664328490861,2.2940961302402223,1.51048950897998,1.7551166197606463,1.3185322776703625,1.4066508167052318,1.479461389703065,1.4121939116730824,1.43394935078654,1.32571300815997,1.3424890520216526,1.340048056085026,1.4292023614828862,1.3335717612841569,1.4544649492958437,1.4744423253857082,1.4596288563126827,1.6820353328727058,1.3534997379180267,1.3724942352841416,1.372575814228892,1.3841339753174595,1.5380775237224096,1.7685292178228142,1.6605410919511474,1.5458528570944237,1.5542238935268404,1.698579419772162,1.6531154320593902,1.4338202454057098,1.602478940460228,1.6463387289989082,1.4366458727525233,1.5231474570342955,1.6998237683701947,1.6002776022271703,1.4595642085020735,1.5389655256228925,1.3936151323707207,1.4454922802258858,1.425498863252917,1.381902754442905,1.3201497703028477,1.2776082611538813,1.298568829489422,1.2564089956420388,1.2431035943495463,1.2704016180390219,1.2658016707932735,1.3052812652223733,1.3104358826934228,1.3914906172233537,1.3650852003219023,1.6125749462004737,1.3964246350195124,1.4206013710926106,1.5431639954507474,1.6422064916879417,1.5896438943694282,1.5021873255986191,1.3567884321638992,1.3273534613164244,1.5860075760812313,1.535097872410164,1.5955733190221668,1.6203788771222203,1.3685208259905752,1.4304688049758727,1.3459359486034985,1.5892170986251024,1.5065192711328217,1.3257079263424973,1.2480164570657495,1.7388025868227917,1.300833395526533,1.2729959389675642,1.2970181444833668,1.5827824420020769,1.278319446931139,1.2572649215742184,1.2528333481773761,1.5786675233989271,2.6778290981533854,3.2681493156230745],[2.453913213750066,2.4052214507731486,2.3343253359131975,2.0783140918675693,1.9667027219209219,2.1255986338954265,1.903131505062986,1.891131661334366,1.675793293698349,1.4693758576674558,1.3299759901260773,1.4816768296230751,1.4169219205066221,1.2183902857993691,1.1044071714939505,1.2353506324819346,1.2511501789658088,1.1259001437978133,1.0867206635106668,1.1647689738449256,1.0785178154574742,1.1663185533271547,1.0880998386853122,1.255970382292408,1.2385243724894974,1.1894059737424385,1.215954792841892,1.22509208842814,1.215898947013831,1.3139371918474039,1.1283377296832513,1.373432693583521,1.3039199435792697,1.1879961739659641,1.2406284245126167,1.1972233960949128,1.3643036114592324,1.2823591681517117,1.320134885987917,1.4044918986628212,1.3559291514378267,1.2287880416369992,1.2247068281457432,1.2915784652849067,1.824989906705593,2.437808114330089,2.441927316774705,1.469383613214461,1.7410222065735832,1.95657583560461,1.8292997726367826,2.75685750459801,2.2180628059146077,1.7353194181265361,2.32352384915609,1.6880490804611117,2.225219722158262,1.3850970906006952,1.4124025655491141,1.4352272480252342,1.2506474087675743,1.1456630613566217,1.1609632021454783,1.36208861031868,1.109967027392722,1.1211976798834233,1.2146202945888918,1.1033136732125408,1.2030928206019065,1.0764884269379222,1.3304798745641662,1.5994801153937073,1.1742089781803862,1.3515127100411004,1.037870528808588,1.3778781921105518,1.0683762040819764,1.087754088317075,1.1463463504383586,1.2330176537646866,1.3205969199206178,1.4441735555339577,1.740130671279694,1.5904826214140746,1.6117745525494318,1.4768714802215177,1.300966557755797,1.3441420421211203,1.1779279903484157,1.1833593145292232,1.0936100195201548,1.0785205936001745,1.0753309109191627,1.0914494388272105,1.1270522606323412,1.0981377471989777,1.1377146527013402,1.3079570555669642,1.5017883410414528,1.836044255903596,1.6209291362666847,2.0170983402901785,1.758702058179362,2.0774498537717547,2.121825101393234,2.0660510974020583,2.4060186228102056,2.18678970043712,2.193147323239544,2.3241397782768605,2.1096073677704466,1.9895787773883258,1.8068202683136767,1.7328219685545303,1.472024922175502,1.4961308891190466,1.29778629175576,1.2945336349252086,1.1759347375080507,1.191828566677064,1.1593498428843294,1.253267196454682,1.331784690406616,1.495116698601866,1.6388802610739137,1.7665397923061947,2.023067963302482,2.0212192891387515,2.1465377573518873,2.205512818365368,2.249685352760068,2.3762670146354434,2.1734922613991907,2.221494250598396,2.009760865715797,1.9146493479481308,1.6928994500031562,1.8013649348192402,2.2614679102525486,1.5963061264221998,1.562679454128159,1.4237856074890443,1.3104857786169362,1.4168633450448953,1.3888935027060956,1.3579084229550593,1.4453926025026929,1.5215452497255837,1.722007640855479,1.7552002182974973,1.9687569716766185,1.9328755835002844,2.1968000691097584,2.480537380254965,2.034232146838961,1.904330685729804,1.781841391400948,1.9564585956023801,1.7496376986256035,1.9235997331321666,1.7419670785131125,1.5548442937617668,1.5239770562977575,1.5353182592409307,1.6943770612753513,1.6636414464756715,1.887570381181877,1.9550534911838877,2.24997274394689,2.0718449378181125,2.0541985012162205,1.7426801126479574,1.7955198767792289,1.7415850783527156,1.7085936448317798,1.824343111337758,1.6743721298788015,1.8766999960130584,1.7050411751093748,1.8885196815773806,1.7937648089276679,1.941496852438597,2.0160691610651162,2.0114205151061584,1.9604748496544904,1.7700364657354672,1.7134862168658451,1.7125441211484713,2.0132110347411474,1.795426010643615,2.1965427669721334,2.8454481145943347,2.203230168054352,2.2819845676100567,2.2215809081449414,2.253130702225188,2.22303338873238,2.3186218253560344,2.372152104654808,2.4363349694518845,2.519796722687974,2.492727210398583,2.424552493460471,2.530976270976745,2.6339847553195526,2.5923847338187875,2.5321745784302796,2.6910755170387297,2.7666362715275348,2.650038456337811,2.70611087549568,2.8338151343171734,2.7902777801763383,2.747303544052903,2.8442030912541347,2.785643625269033,3.033488812422588,2.8120853953953673,2.79958970849261,2.906372440770177,2.895060429210623,2.886036839267748,3.3195284791148914,3.7666569794876157,2.928535551945386,2.8826563236671787,2.715332374300408,2.70000156385213,2.7192240977415016,2.6590717616911905,2.648641943036694,2.6575891301148284,2.6943900506409486,2.6063400841069377,2.6391071922863207,2.599575517662911,2.543946939609455,2.403467250000036,2.506673119969249,2.407847399345415,2.5226220872706047,2.6557644255331017,2.7080501729326785,2.8521057750905077,2.708303822964148,2.6265617461932376,2.745708747380304,2.823403372514357,2.598115718320861,2.690649293789613,2.8288665015036205,2.8057876887098043,2.74055084908305,2.8759313833625235,2.973999835799555,2.936546922658217,2.9407568855972084,3.0438635017567663,2.9483896270701626,2.943321183786542,2.807314613423684,2.8672540880450805,2.9116633969765915,2.7878698796707084,2.7760693946983923,2.7780113356911538,2.7477790138080382,2.663317049102667,2.735402502862252,2.7723052740854257,2.647494238385045,2.5791770681609094,2.6776678515392778,2.6586205036671675,2.6291694200468085,2.5794951686042378,2.6990461326943427,2.6849571373497096,2.915037693053965,2.6610436964555357,2.6085095271862526,2.581949190323893,2.7030289034594297,2.651466036084783,2.6802403740151295,2.608756571561664,2.5903678112199175,2.295063545550024,2.346874589304642,2.079656674976362,2.167232110629402,2.433554451224653,2.632351549579913,3.2601602427940297,2.429148786936007,2.6011570794889054,2.6049286421179874,2.358361299722917,2.4912595789991596,2.6806245023333877,2.728923326428406,3.210760294371514,3.398413348632125,4.353460339565782],[0.9524626602094048,0.9353332722205724,0.9833379797230994,0.8445587978773764,0.7949883519912315,0.9332435724599999,0.8310166896169198,0.9082022743534126,0.832909934709111,0.7976973188964298,0.8014476448706424,0.9229371097171155,0.8331826231764528,0.7580785910326996,0.8050510672287687,0.84327701612883,0.8288243156512263,0.8047301812054167,0.8182227651916942,0.8215898311046532,0.8418193705483881,0.9039357520490394,0.9536001548221467,0.9934562185080571,0.8654325350148544,0.8345692854091589,0.7853438799697912,0.7576105362660279,0.7903488799325245,0.8327800288294781,0.8898628811724848,0.9536333123492673,1.0077665679421246,0.9500586964100173,0.9072898488143863,0.8431421978524647,0.8717710309768738,0.8215522829344774,0.7859938059132103,0.853741004538557,0.8016444472837064,0.8239861887476128,0.832811313913378,0.8333617609581787,1.562932513489016,2.254314429975304,2.2183054402003557,0.9927369438648883,1.1977250626248963,1.5244182237876565,1.3472953259500342,2.3637816924018495,1.815523385042153,1.2430589022295357,2.100893676069727,1.413524682150083,1.9764830648707319,1.0822556944770436,1.3082281714874389,1.1078988247762558,1.0709285580393506,1.0033566679199857,1.0234017808691216,1.3163624762700774,0.9483491954285114,0.913724801886028,1.1146553639298513,0.9409685485559609,1.0162413812588913,0.926908544352843,1.1802665649415118,1.605941132126982,1.158796703910284,1.2831562255369218,0.9546121095154645,1.5063085235919962,0.939242410028042,0.9877525065460679,0.9384123505425062,0.9431380535307368,0.930338184056923,0.8990756332258262,1.1930357636361444,0.9448816518554892,0.9713605431363442,0.8911321702453228,0.8515490421821168,0.9166700888933237,0.8692011021909348,0.9550501631805969,0.9472660326937722,1.059821165482118,1.020652082707561,0.9753172422847669,0.9198741103151594,0.9753570369257373,0.989107260367779,0.980596750916599,1.0336530411287974,1.295054061572396,1.072280401591706,1.2628291456356724,1.0605513658160057,1.1985056129106397,1.1756903800454455,1.059691452898728,1.3525423953593696,1.0063815848557827,0.9738255913495795,1.1998629534618415,0.9429475674299717,0.9396510610112977,0.8349829678491922,0.84453019678081,0.7630372630954034,0.7622682088619236,0.7541545384379444,0.7414938963448446,0.8680591581101216,0.8257915591261596,0.7839238353383301,0.7644667201334222,0.7058235285968296,0.7520290779959955,0.771129744123242,0.773376738795582,0.8969087225240123,0.8934227186496844,0.9601565379987879,1.1156042298221043,1.0223187443947903,1.1369520548049634,1.027390019139976,1.1959813116065563,0.9838007208938605,0.9595028376175876,1.0212802778331054,0.9011134728442943,1.5139529162598682,0.8746438584336462,0.8661775360296528,0.825410556658683,0.7523956050254463,0.7698646193294637,0.7290061786306116,0.7424182415505144,0.7508063864493059,0.8045151110121188,0.885484338634579,0.8941745936778657,0.9642783813061788,1.008560528063455,1.332744609549906,1.8277996342141285,1.3818940224261889,1.1818210610809827,1.0410321796173814,1.0878474773241216,0.9969837809756715,1.0410684875613583,0.8884715686473061,0.8261223045342634,0.7820771504136379,0.8036305250045928,0.895307335368855,0.9614670778616464,1.0617601457589074,1.2026797569012022,1.4970646698764367,1.3758153993916298,1.22249237886698,0.964583339850262,0.9353682974551153,0.9000233329087549,0.8954649690415359,1.0182802124646322,0.9608613930559492,1.1912343660800109,0.961163502567888,1.099825093430538,1.00289942590364,1.0121249046792393,1.0323268530075849,1.0236136321246885,1.0105371505065868,0.9398466899824306,1.0191485997560734,0.984916909556564,1.507733698230299,1.0235193829532485,1.3396912857474015,2.015596335958991,1.2769465909272515,1.244957146744924,1.0780473760312008,1.0240953810638773,1.0354481636221862,1.0057121892001544,1.0014730998128434,1.0828985768466426,1.1192463177220253,1.156776191115805,1.0547029467106714,1.0766913382723007,1.2077429783617903,1.1807721934893645,1.0705426496054191,1.1896618501845235,1.3502406732377112,1.1807786660148152,1.201807369363266,1.3314831221083188,1.3162542652496254,1.29927993748545,1.3326421113096247,1.2908966167595188,1.550254025673734,1.3623605504039256,1.2681515620204369,1.4236410386977685,1.4767723996114002,2.1852417813218357,1.8068835495970161,2.2901013487146074,1.5186372753478354,1.5369432874205424,1.475343531336712,1.4117584174335582,1.3835824188884451,1.2644500737718816,1.3314760963816896,1.2754949141355507,1.3235502085246427,1.214248925211225,1.3357562080081684,1.176894969567512,1.1015818188937696,1.0507620571957128,1.0660475015744457,1.129433176665131,1.231726190288281,1.3995479843111391,1.5824467500610613,1.8110153083485043,1.6820954226456526,1.5180321238630072,1.5947202906784794,1.7629454483792584,1.5725938876951493,1.4424339477367665,1.6788778246756626,1.6857803078067695,1.4480498403893096,1.6121927852253835,1.8003920643221016,1.6802726947924183,1.564274671065872,1.71572056481093,1.5361865116851032,1.5949141683434542,1.4910198098306777,1.5167563288893435,1.4845274731251157,1.3402568771283307,1.365387469481965,1.3075666135971968,1.2571135143339474,1.1945459598660526,1.265586145435429,1.2601238518561766,1.1643890454994923,1.0999915642459188,1.2137636491519352,1.389735968284385,1.2017794516499152,1.1817360475920162,1.3030579767838049,1.3937879040807528,1.5622232039182125,1.282118631350244,1.159032382928133,1.1144902904696297,1.366197422950824,1.2722911795105936,1.3228567449551296,1.2756810404181413,1.139088734882044,0.954389940140669,0.9806562872087208,0.855725481765816,0.8778941377032095,1.0980488836689948,1.2658738469249147,2.03660185676053,1.0868115171653763,1.1833421058202693,1.2074689543026738,1.1960234005931059,1.1349634010977947,1.2459758742898568,1.3302759287440402,1.9948045603266686,2.548723667548806,3.447791958472306],[0.841927645451693,0.7716672481686638,0.7974067416226934,0.7170389568442946,0.6725064279890234,0.725796636495093,0.62262772755227,0.6725494981917501,0.6222871854042246,0.6049084452142768,0.616440058976714,0.7214615560815293,0.6436048086713169,0.6004983195259389,0.6848562275376526,0.6806957150666646,0.6807621488660183,0.6855223900497933,0.7108735219178134,0.7173258536113131,0.7518283184934182,0.8199404933400494,0.8826615406636319,0.9758575701213036,0.7559703405229751,0.7409406158419918,0.665548795015582,0.6296091792148073,0.6646707535476624,0.6792394500853864,0.7830629804275837,0.8259929187442663,0.9298930339970872,0.8833858418919108,0.796136965523738,0.7266470024674297,0.7435164555670014,0.6969954724577769,0.6463880159932207,0.6861028250146477,0.7540810419304154,0.7312756109820941,0.7328859706943762,0.7299250379808074,1.5674599685005262,2.23887747956345,2.1335784406984564,0.847512951301546,1.04397370497329,1.3873573655340403,1.1503420745270123,2.1366127610997414,1.5844603198728375,1.0740355194530873,1.9404378086393659,1.3984556243210613,1.9208678350889956,1.0421455963027162,1.370802992331024,1.034445267742553,0.9961393228032279,0.9063312854580555,0.9248884869826289,1.255225582062936,0.8646109604352124,0.7924626840379728,0.9903442744783733,0.8313796417016053,0.9134475642193874,0.8124434430677536,1.091684246247489,1.567870114131228,1.0881971368140708,1.2806512832803776,0.8822155486554107,1.4909966028234973,0.8730188572646013,0.9312147193325193,0.8434367725830743,0.8747303481130775,0.8260762597569553,0.7647460078450495,1.1378515317086748,0.8218969626190236,0.7923382798365916,0.7387291017208669,0.7304940835244899,0.8159872767749026,0.759064759638172,0.892140435664297,0.876666130542794,1.044021453507457,0.965569079958875,0.9210470380172012,0.834962370834031,0.8928568136023692,0.8798164237631219,0.8583599567788438,0.8703074059286935,1.1304398413804893,0.8999162158252224,1.0519802446513564,0.8744063239732112,0.9951880564468147,0.9495130151925596,0.8427373797070963,1.116975373747704,0.7949144549476631,0.7812058766750123,0.9473641495297584,0.7289171459039743,0.7005418254700534,0.6202876703123417,0.646124709082997,0.5997598122257916,0.6093819172477395,0.616699292865796,0.6095737364873908,0.7567907271649728,0.7010334269690329,0.651474122733218,0.614006447397143,0.6133100588927299,0.5979307806658234,0.6223862984184714,0.6275737575678706,0.7312105780193291,0.6913016125601205,0.7098979103942927,0.8587926116316825,0.8034413783285568,0.8768730845537616,0.7885103184147814,0.9712997533884783,0.7574197624443757,0.7463479899682498,1.0044030235003274,0.731290069957783,1.367816675748818,0.6940549263722646,0.726322132969976,0.7200721355196305,0.6220960561548562,0.5903994568403026,0.5579892215399171,0.5939010243596937,0.5715397384416127,0.630838963237395,0.6769351128031545,0.6765286273741397,0.746075360646037,0.7940677591379999,1.1844423768559673,1.7469441839033804,1.202135800257784,0.9779928061891151,0.8200223980512751,0.868847219151625,0.80220127676292,0.8307513140758206,0.692526837819713,0.6485783116605548,0.6018470973715976,0.6212611441888587,0.7043240320017997,0.7471457270929004,0.8319598571229607,0.9566012620989289,1.253207793073857,1.1807892403842057,0.9766597808544311,0.7637012243705641,0.721825799692506,0.681153352982082,0.6959018955736743,0.8093092169884393,0.7805293117812958,0.9936560379255831,0.792346255864374,0.8776816785002359,0.791490703286651,0.7771587667975988,0.7778118908935093,0.7781361509648349,0.753786587475488,0.7270612992405806,0.8189176438805315,0.8517191671605889,1.377504349032916,0.8826504478600079,1.091027883935357,1.8076207445957393,1.0579966653852257,1.024554767781657,0.8715593807135059,0.8179704963678147,0.8525777049748757,0.7652248127130774,0.774725586009789,0.8401443692105799,0.8505903703708999,0.888193405611732,0.8027824790897962,0.8282802274265594,0.9398817523978726,0.9127602800899436,0.8668020876262503,0.9431892132293703,1.0803372850689381,0.9373315031080859,0.9811773096789801,1.0955095930053662,1.0814627723818075,1.1227448098652446,1.1437748333950644,1.1204912884180263,1.337912729350844,1.1784313049713635,1.0449542206129894,1.1874009863240842,1.2356677807536876,2.1816697475131646,1.5161225853276903,1.999543962690138,1.234085972735149,1.2760812482067079,1.2528718005442459,1.2017368243887654,1.135753456769798,0.9822220062974175,1.0532693160429067,1.0102728824043723,1.075329313976679,0.9422903516256351,1.1486006754009968,0.9319954401508654,0.9025912099151051,0.9170734060574494,0.8277448830653903,0.8969059999989486,0.9821295281002117,1.1346124880178479,1.3489953599831725,1.582700537119496,1.4586431407195979,1.2778004408594448,1.3517949728664476,1.5394766220525355,1.3418221960976489,1.1795016185196148,1.4398406898966618,1.4485383148748134,1.1750149558262615,1.3539682548928522,1.5532809269582513,1.4175375137857622,1.3114660361832853,1.4547805283697,1.2653634557161129,1.3245756860757985,1.2292029449650947,1.2507294042295893,1.219583106656163,1.0716928303086117,1.0944119653151645,1.044278848300499,1.006603138046636,0.945611776991154,1.007800898276348,1.0416756873604665,0.954262377866384,0.8905841625138121,1.0037300260867794,1.233592091817038,1.02262877579414,1.0310604206980778,1.1723349786512818,1.351696796149172,1.4181380797424503,1.183623901854371,1.008668476618753,0.9597498453239695,1.2832129083307868,1.1705802152805276,1.2271208695966178,1.1845008843314566,0.9796946525803581,0.8064751174233186,0.7733252851594336,0.7058613066674042,0.7157391316921078,0.8529445508826335,1.014878405718389,1.8579321347419602,0.8210193044399045,0.9027700780625598,0.9708542441300148,1.012228457276145,0.8783910237481467,1.0066797779920718,1.1267691527500046,1.663135581815982,2.341759053843247,3.1482850091245047],[0.6845596178235765,0.5244718790444648,0.5537203321572035,0.4322099334812287,0.4435218411767631,0.4624867547764806,0.3887509829766099,0.4939454268309374,0.43435740058185046,0.43328407253678175,0.4693292285176992,0.5843341843152168,0.5026788933267123,0.4686117320493755,0.6250664082421026,0.595458729225999,0.5787304293414162,0.6417702486677063,0.6930877305035478,0.6966703271435514,0.7346487102598518,0.7502300564419107,0.8705093281793591,0.9465003344609789,0.6955342630917298,0.7022804464313204,0.6289375151997589,0.5527849630488804,0.6053715095605384,0.6091031257236389,0.7383338920110625,0.734320819579639,0.8535912262462638,0.8206773090223918,0.7214634592822803,0.6676543100039044,0.6709703726082279,0.6380027559459405,0.5771949037921494,0.5971642322280817,0.7303817313357815,0.7105170528099145,0.6769050173029155,0.7052635449229251,1.6645864638426775,2.3314813408555577,2.2006685933862316,0.802160390892641,0.9712709779174642,1.3792826658347221,0.9993623816171199,1.9415587044680631,1.4187568491533935,0.9503922655880678,1.8619844313779574,1.3275631038463038,1.8143991407861386,0.9887055840884182,1.3423394518317295,0.9916876705445854,1.010505499144651,0.8843568072207071,0.8844287699204034,1.2376773273250203,0.8421129567672829,0.7492078444551248,0.9794905809270125,0.8220179858909311,0.9247322705739741,0.8035814038250619,1.0768130496513002,1.578809528311466,1.0911782386193007,1.3002612939103773,0.8503908811284889,1.4720710160602624,0.8333753708638907,0.8938633334985558,0.8006372046913696,0.8116243271109091,0.7658563517567047,0.6959330432339015,1.1401314903500244,0.7444297684035411,0.6667848427387811,0.6437777111692071,0.6632620612182303,0.7447100108806689,0.70351721461707,0.8325113557357965,0.8287838062970008,1.0014949102602209,0.9135979920454206,0.854193109186084,0.7716079526811549,0.831823305152385,0.8111366783772533,0.767547538835801,0.754356048735478,1.0307015140071163,0.7616388852097002,0.8880573311644349,0.7288869366581333,0.8174891272314007,0.7478459486249308,0.6858660556925424,0.9349933016289519,0.6361286599615122,0.6306688229704569,0.7586019445748262,0.5445016212632012,0.4966099016333552,0.4277626977670477,0.4319655325751221,0.45363146684307903,0.4409080027069069,0.49654957674541506,0.47898761598570105,0.6786910781089666,0.5989006870584811,0.5603238986923254,0.5047286323555719,0.47791589163369186,0.4029725808177253,0.40284320994249173,0.401920028336121,0.4859987705755978,0.4737443771486614,0.4477199762347959,0.631456320768894,0.5543846932622974,0.63043452433518,0.5450165669192633,0.7659359707762571,0.5504712019496041,0.5575266270447277,1.0353519641866618,0.5093871031524266,1.2047453954789453,0.5177393705553089,0.5198313687583219,0.656760383585124,0.621851662436902,0.48109003435422215,0.4683501147572437,0.5050251013804544,0.44740693530756054,0.49162467159217915,0.5238646786165689,0.5273870753302511,0.5830036346633852,0.6727337257774835,1.1071575676196397,1.7758853399616912,1.1545254405823155,0.8696510029360103,0.6666471215478954,0.7086483426945782,0.6522052153066284,0.657747372787023,0.5368527726701717,0.5074799958851859,0.47156039558882784,0.48474175414659126,0.5319508840855066,0.5811648175445295,0.62778894289138,0.7644586497329738,1.0675106658408633,1.0191914693788424,0.7641302436409464,0.5720397386974964,0.5176074417101916,0.5150679267796194,0.5469487794206396,0.6490168974295472,0.6599823431249756,0.8958228061031246,0.6851635042376939,0.7318531839005563,0.6916869242190531,0.5835275885335856,0.575558909728859,0.5599207532411266,0.5445066809075695,0.5900249267408983,0.6737957579224794,0.7848629728468787,1.3055198512869628,0.788661345100642,0.9133624006009744,1.6746641999971772,0.9162026013455611,0.878743668370618,0.652995783910461,0.5880498823675526,0.6704002748101117,0.535886505586081,0.5420326008044685,0.5969896896845338,0.6293784614247486,0.6934386042034695,0.5815402069678931,0.5873003524352757,0.7470610682531285,0.7183800013951324,0.6328865901567751,0.7221205702725921,0.917720751412161,0.7442254829559833,0.7783587890633866,0.9091163793318742,0.9109065844391179,0.9781352578688504,0.9560453468664963,0.914028606760582,1.1397223408500086,0.9798716941955394,0.8196804183349841,0.9798709614317692,1.0463212096979249,2.1849199571665086,1.327360439760546,1.8065901769417927,1.0441711276603232,1.115373185083535,1.1313891977988577,1.086514478849445,0.9792890367592052,0.7826859609221157,0.8770500400699203,0.8053941557774936,0.8466927902354459,0.7161062818584646,1.007162523944195,0.6695316923111441,0.7037758057784009,0.7576117567573318,0.5672057866337678,0.7059918495797856,0.8313924421756224,0.9912635795326278,1.233299436562182,1.4826384722094361,1.3566964113247555,1.1665895887271764,1.2248872132427822,1.4298857004789705,1.2437776885972573,1.0479805485179141,1.330725175497512,1.350621438384085,1.0536035678237008,1.2404311673042738,1.4692926946827802,1.3115492480899709,1.174615994123644,1.3294568864992333,1.1102469515892106,1.1747228816613937,1.0797186249260364,1.0923745936678888,1.0467050242305296,0.8821528474975713,0.9079176773814938,0.8506341150923749,0.8020468249946456,0.7166045339414456,0.7835673675534142,0.8214424217161772,0.7234239287696607,0.6737804580668295,0.7776703211383938,1.1173706393716187,0.8481823385644469,0.8377191666248548,0.9566957119294606,1.1762673267933181,1.197562479569258,0.9619776714072662,0.7964478448609216,0.724120948483257,1.0675420881915085,0.9619866940356515,1.0155562972953847,0.9961867500081627,0.7592474840514202,0.5880291712269481,0.5367460909139665,0.5288098781996475,0.5499176565398491,0.6250710855750679,0.7902860508658409,1.7046629697524773,0.5861596058268662,0.6845147594517036,0.7873124843679843,0.8770136198960852,0.6272497349674291,0.8155638662227823,1.0305929637369249,1.508973020034179,2.2341652145598534,2.985170057301757],[0.8360351472378799,0.6787807259446053,0.6793616707293015,0.5350807422898552,0.5622581175250321,0.5671149494210947,0.5279597351296118,0.6451189460082065,0.5875983338721016,0.6063922449961296,0.7019177471833254,0.8239882013657233,0.7495887042525748,0.7017906259138279,0.9003221334141339,0.8822997501415888,0.8147243531173343,0.8885494798821265,0.9198259939164353,0.9406507940214069,0.9691339192332353,0.9749780646704949,1.0853351364769723,1.0827174530647976,0.89743790644099,0.8898272927641534,0.8368142019484591,0.7717327064845095,0.8531352768591727,0.8848324053377368,1.0349245894251895,1.0362369876004554,1.1602014885785548,1.165189375409666,1.0686560110352528,0.9681196399562956,0.9504972052776574,0.9004611131939403,0.8145087409677907,0.8781737245349746,0.8951103698561882,0.9188766103473818,0.9259922332959073,0.8819519069198407,1.5205717666454437,2.15049583751416,1.9793360774675353,0.9122909113198198,1.0106507934920645,1.3030100223043506,1.3013652523922563,2.193744475846795,1.7250198297975312,1.2065025936363307,2.049695243671118,1.6753175783603373,2.122178970104792,1.287197053978551,1.6412401828074243,1.2695426977712323,1.192745450887923,1.1924958240117554,1.2491250072620284,1.5172522188380049,1.1171009480868799,1.0443166598773599,1.2080952811397465,1.091341381109833,1.1237618387454809,1.0574720355795308,1.2709486883656629,1.7735778746112616,1.370506847476263,1.4973777635396608,1.1590153060109836,1.765492555906839,1.1678779505632966,1.2608922994580558,1.1592721995294313,1.1650814716963551,1.105165737444018,0.995844500456715,1.2980116486400513,0.9991587427809533,0.9237447618079145,0.9159470578844029,0.9470285088148598,1.0664380372159865,1.0224064448686232,1.183534311040213,1.1674269820919994,1.3699497774552944,1.281360851095308,1.2378151064641802,1.1111852197390808,1.1841968614631613,1.1336153983827435,1.0892815104555922,1.0497573139850924,1.260334186651722,1.106887039079784,1.1408414436091825,1.0410430862314957,1.0893334187391355,1.0422606834660446,0.9029336837661948,1.1148046866991985,0.8266658381066103,0.7977815156670249,0.8974243178170535,0.7343875161349129,0.6940256145986535,0.599817293856156,0.5866355912618708,0.6325423758654595,0.6064650029341592,0.6942173020840058,0.6511873966644529,0.8576248378942523,0.8069508099687576,0.7612666559071759,0.692097338708301,0.6140816223186135,0.5322783785769705,0.530086963884085,0.5294290669233428,0.5968370119033125,0.6298816347184243,0.6173358898088486,0.8110205117150477,0.7010697944009519,0.7900782692196091,0.7279911997319765,0.9381941737186089,0.7276632061168511,0.6998727829812172,1.1646708676089894,0.5607854423891492,1.2074260407754758,0.6013362303353631,0.6084116557798552,0.7503862151597069,0.7835166508617156,0.6488370772225631,0.6728136249252371,0.7153601090026327,0.661505124069593,0.6766681571514255,0.7235918018238342,0.7203820229818225,0.7419643859961927,0.8146312011047222,1.2423835887826078,1.7840483323211707,1.2519394018326593,1.0970144484235058,0.9269778200768438,0.9505077868445556,0.9049829551939419,0.871107363562209,0.7284581471948203,0.7478936521269149,0.647241712036762,0.7246023308174728,0.7453896960430653,0.7033316708502158,0.7559459141462347,0.8445325637391702,1.1321418426066212,1.0781983919803948,0.8485396598694387,0.7051859002013541,0.7137096453597065,0.7451553549583736,0.7994286073881371,0.9232410785606309,0.9178963406931752,1.146193414153933,0.9394206286736225,1.0325403457886282,0.884654296735499,0.8304357709483964,0.823651083627839,0.7885847723799438,0.7419611293387512,0.7930399445466637,0.816227290962495,0.9004820096661402,1.3241268538293312,0.8243432957442989,0.9089021575278747,1.6185501046304642,0.9453562818738213,0.9163368192260469,0.7727137634130742,0.733203385229118,0.7477137752094687,0.669093053014386,0.6875667269453634,0.7413856948333407,0.8149819053059684,0.8791758447798794,0.7493303874310493,0.7382668106691616,0.9243544154464887,0.8792303166370887,0.7411329516985755,0.8690541675233566,1.0637261615081952,0.8847458346269051,0.9253069772131253,1.0783155561239155,1.0584330044651227,1.1421566215345262,1.1209267677543673,1.064716969895719,1.300578553552739,1.1469989645121288,0.9970189124499595,1.1748368250520773,1.2670772757329456,2.490044159049033,1.563768035848822,1.8970689698187753,1.2520838276835988,1.3525583362376297,1.3483402259049178,1.3250297692462336,1.2191053174171649,0.9928688879449623,1.0801385588941999,1.0095446266842378,1.0073265578885984,0.8792407461118816,1.1285365522423685,0.8149381603751129,0.8458831168681569,0.85405854623081,0.7278122431593369,0.8890353946314408,1.0349669054609938,1.1724575689837995,1.4272458615883172,1.6955480968145649,1.546411405723996,1.348644412034296,1.439928390581963,1.6100963034285072,1.4274829732416567,1.2205275461850629,1.4905809985114304,1.4888847657618016,1.18981732502229,1.415829284917985,1.6157911026411202,1.422381891720554,1.3313531046852585,1.4990522689258314,1.2897650923201462,1.3699385636370311,1.283170793883854,1.2985575679445411,1.2506270934604642,1.063564791754206,1.1018057098773644,1.062477161297494,1.0042017624160453,0.8942449149466414,0.9713857279741431,0.9738843859420181,0.8876201606923272,0.8043704635982186,0.9525663449286882,1.2372171204881446,0.9597640514627123,0.945627476086101,1.061493614159937,1.2305398079803542,1.3363143167075677,1.083376307059647,0.9324867267667255,0.8524775095067346,1.169894264347578,1.0139570747809616,1.0460260765760172,0.999930072278286,0.7945310892896623,0.6809876866294761,0.6594408245840828,0.6796509394343169,0.7138213065512724,0.775100110002816,0.9472831155296425,1.6427527600540912,0.7155122785568112,0.8309007075708498,0.9354773345617272,0.9895611568924565,0.7203076495257276,1.0127818942781217,1.1326803017422618,1.5650430323498448,2.2034544042726067,2.8946986943273973],[0.7883221564839855,0.6214433159190292,0.64542267460783,0.5233303758409272,0.5620613187145442,0.5369492354453613,0.44247011743750186,0.5682672671893784,0.46581976343240955,0.4340114380883528,0.4713510243294597,0.6136479656970126,0.5168665878415724,0.4638608261816572,0.6590521990914433,0.6065359160712797,0.5984487091008706,0.6502098343631563,0.6936029842270434,0.7003522597715085,0.7022798170232831,0.7046576236742906,0.81057046448294,0.8670096206406258,0.679004348429171,0.6748195671794639,0.6340164184310416,0.5720479942723703,0.6148490688284979,0.6170815235930233,0.7372662878951318,0.7452753227504081,0.8701907387120498,0.849788383136109,0.7440830784018448,0.6811205341949854,0.6727425806208438,0.6468762895114242,0.5875083339682854,0.6172272151510457,0.7525324989086659,0.7006481725550884,0.6649818312451381,0.6739631671163071,1.4951850494971421,2.1988731589689112,2.054963172660168,0.8012027560498927,0.9934729834788817,1.3809436475055081,1.1557167077022854,2.130041161092829,1.6134194022353392,1.0563210240582193,1.9872826446484713,1.3170988682115075,1.8747423649112158,0.9680978746617632,1.3535546479254987,1.0078122611765017,0.9829785971673445,0.9055779883130043,0.9142574104410645,1.234398658061719,0.8184089479012389,0.7487473527296926,0.987306007350035,0.831633053495272,0.8984237505164733,0.8081957241732338,1.1043346858067047,1.6007929525846785,1.1356162504286527,1.245827324388422,0.8662796181847392,1.4483059250966517,0.8465688478143313,0.9020215414992098,0.8167423506350632,0.8283134728184138,0.7976404881583503,0.722439757044703,1.0919197094406756,0.76021393370343,0.7250575451194138,0.6644103624364409,0.6540422730157078,0.7738710545888732,0.7123170013462025,0.846921304533566,0.8461551282205297,0.9905922032396038,0.9389364548214191,0.8859761385865971,0.797912903315821,0.8733216621638993,0.8682645208803933,0.8042942401930815,0.8110636244364802,1.0675865792152686,0.8516590953482008,0.974033987899366,0.8195992967063033,0.9217606897313281,0.884522938993739,0.7553835044857055,1.0622279228878349,0.7297623393430668,0.7205610723212821,0.8259874623779352,0.6406775396622656,0.5660216324942081,0.48670260468793275,0.4908537989511609,0.49894013523648834,0.4652157543833058,0.5367959880967527,0.4959085526941197,0.6364460920094377,0.6325481806969856,0.5588551057440283,0.5032774901253939,0.4873123785893044,0.4290804294599386,0.4536846787669896,0.4593357698836555,0.5235911365620156,0.5592524116095952,0.5450358459155268,0.6972211690514093,0.6024573648204286,0.7068039441100012,0.6232094938333715,0.8460062597019553,0.6111267867139094,0.6142024023755314,1.1660226776700133,0.520694330621155,1.1146015535459208,0.5615948992355229,0.5042270766140018,0.6214493284509477,0.6478030734212341,0.5307600534671253,0.49954227935396506,0.5289523409035513,0.4945186623945252,0.5447596926105976,0.5735948518981808,0.5854924835581622,0.6413959838301472,0.6999897143726769,1.1222916968613146,1.6607471303639934,1.1081264105061457,0.9181517175395703,0.7431591908034618,0.7804297128085211,0.6941460132279811,0.7257792838456067,0.5666609400000708,0.5587140577893811,0.4938308010263786,0.5346896867585623,0.5750023376647718,0.6532614614940566,0.6561074585881114,0.8128605402743386,1.1254797837677868,1.044425702168427,0.8201652723758341,0.6476911522567556,0.5786181870351929,0.5794728578539922,0.5975989615293761,0.7352720386537259,0.7046298811821029,0.9481451186972145,0.7140352865874914,0.8445364819642927,0.7396328020650085,0.6750989727594757,0.6686858075320632,0.6532402814369564,0.6235362644050577,0.6361929995612725,0.7258064936659521,0.7921987652139002,1.3895877111345893,0.829444920213992,0.8758177147443267,1.551316064039192,0.8888414950484486,0.8828126249169108,0.7002854707467631,0.677964117890645,0.74219248462231,0.6101803429076474,0.6222582318302123,0.6782950767254299,0.7490501150557771,0.8020448941475747,0.672665172572727,0.6854518139806325,0.8473418395702909,0.8012790204563495,0.7061897092414672,0.8084632957682509,0.9887528781631154,0.7994249040297343,0.8438021193362594,0.9760499475309683,0.9564916183858071,1.0309715926281768,1.0351029006577637,0.9881462193013856,1.2077065687545525,1.0613442070884893,0.9200650900422107,1.0790885711413063,1.167558925206669,2.337689661183406,1.4729365273646626,1.8894352719920362,1.1674340643301546,1.2414640383766198,1.2576928722346812,1.2274358297895738,1.117519371326325,0.9446612470942198,1.0279036180169043,0.9671734393857769,1.0003120688295826,0.8560807613283287,1.0925868446272065,0.7831147287454563,0.7879692744524395,0.7983311633579526,0.6682107249174125,0.8179647163694546,0.9319289811543433,1.1137187061097327,1.3257641974918006,1.601417584806895,1.447755206949876,1.2536690561565713,1.33786019995485,1.5225163898058105,1.336276878121694,1.1354687773008487,1.4127676207535866,1.4145499717954102,1.1094211211169187,1.309437198444072,1.5140812932688434,1.3474764139476867,1.2413709478581367,1.4075305972664152,1.1987246160187717,1.2713790684260042,1.1792866869134815,1.1987013999093155,1.161056460233338,0.9772961743055585,1.0186260662808129,0.9712265983895949,0.9161629194537331,0.8198547277256311,0.9003656425139811,0.9304863751520317,0.8113173726866942,0.7389813693726183,0.9030181035216346,1.1967701936334947,0.9114404680577235,0.9251030097619772,1.0290770222962984,1.2168282216912787,1.3011790229718783,1.0527177070147689,0.8828074775369554,0.8161883340775078,1.1757139898806892,1.0199257672968742,1.0596891528512957,1.0195800226389973,0.8017402433985678,0.6486665934706073,0.5919959800237624,0.6021245669262915,0.6368567341670084,0.6807260430160494,0.8571047744808437,1.6383211077648057,0.6327413493780526,0.7401919757747794,0.8148264103433714,0.9218030886699474,0.700850970557817,0.8905483387693975,0.9984674946449656,1.5570572803638232,2.235884605110283,3.0461875653095185],[0.7042897403237348,0.530630085659103,0.5735966155069813,0.4605278770835374,0.48992049378958097,0.5027109692727606,0.4141834860145099,0.5283975725666177,0.4516265415762251,0.4172279553675047,0.4515453580367842,0.5818839546014818,0.5031474205179645,0.43389858300869066,0.5916807679538564,0.5666680098752284,0.5677909144944698,0.5966287667325915,0.6366016414490938,0.6537649701344799,0.6502428799817447,0.6755961732786834,0.779154274377142,0.8334013031955573,0.6319157706454916,0.6186721882110645,0.5715541590234564,0.5125959122727579,0.5670751016326379,0.5737345639086241,0.6824865725791991,0.7183192614285738,0.8100118269331393,0.7877796622900721,0.6832748049471217,0.6322330470075842,0.6484770709063105,0.6056691970519069,0.5376251290678132,0.5735123347959283,0.7121512608932793,0.659376569689444,0.6272983437931359,0.656776915928721,1.5440371015275847,2.24704396973964,2.124710056416212,0.7947267170261889,1.0093244025166208,1.4051783321802782,1.085284772081568,2.077438929013971,1.5315762091532266,1.0031316649838429,1.9452302580604126,1.2652298541252134,1.8322174461144973,0.967960639419511,1.330489905477064,0.9930549857728881,0.9735555681416692,0.8660700984017958,0.8538352729605182,1.1469909555960207,0.7636936815839782,0.7090147702202131,0.9451225345614024,0.7754508073938299,0.8814250776268797,0.7653528184079181,1.0919770105619568,1.5594517535199328,1.0683688258148256,1.1823048717884244,0.790044533840888,1.3540101634554356,0.7664078838159168,0.8171531126038009,0.7434030499871624,0.753340276069098,0.7269976897852091,0.6963101367038348,1.1358231954606501,0.722651615072087,0.6767200166737732,0.6483009202223698,0.6366439671689008,0.7266886439812743,0.6500133259449845,0.7847561610339749,0.7737686156906078,0.9211098831050734,0.864080118240094,0.8092305647878412,0.7395692337093092,0.8077242537413385,0.8057380074911786,0.7600799854517162,0.7732489168706701,1.0261539661892396,0.7796673994632654,0.9335735281722093,0.7533694877468793,0.8690757884252387,0.81238352001871,0.71755317103568,0.996883976559344,0.6780026189201227,0.6604600145611399,0.8143063676259351,0.5855469163137313,0.5413455295514149,0.43945146405533037,0.4444449724971707,0.4385463004611991,0.4334602118794789,0.48049607984001047,0.4670880684444666,0.6172599079882906,0.58904619502777,0.5326563753925359,0.47309078222917184,0.46952840821939623,0.42423428171664385,0.42341155896487626,0.41371044693883274,0.5133719297977138,0.5271869256460427,0.5033017969554744,0.691095526504721,0.5885402955737472,0.674377315475729,0.5930418629585827,0.8236686192393492,0.5842275837888241,0.5951100706249195,1.0506413234738197,0.5116163766001947,1.1908047581642356,0.5265104992863634,0.5050297347372784,0.5966231297252353,0.5677962102705156,0.47144826159190095,0.4498747234167838,0.47543472974457746,0.4436807147097177,0.49558046615378615,0.5427090290972488,0.5553594923980605,0.635668624751409,0.7038704175955327,1.1220602994868196,1.7059372790581673,1.1538030532603096,0.8846744579052672,0.7156211724546644,0.7668127757662387,0.6724839713894087,0.7099631220671175,0.5420072060626774,0.5229948189445799,0.4533508460735204,0.4863207182787687,0.539312990998448,0.6123979502389936,0.6561423233302681,0.811692786409705,1.1138498363531182,1.0448030503144858,0.8054485316023398,0.5946766354478134,0.5523295829309822,0.542852618447409,0.568685167920922,0.6841335258285827,0.6779714558130926,0.9382342956925798,0.6909005317331727,0.7719892023667411,0.7233975649590291,0.6224097511226233,0.6203838467379623,0.6131733827172787,0.6000366060824408,0.6127362941382252,0.7277510422307991,0.7773053798441314,1.3787627620843308,0.8187653937637718,0.9311873980956789,1.634024074315967,0.8949709319630147,0.8796401294259262,0.6755923731160126,0.6354126790424913,0.6786328161189209,0.5525881944283915,0.5624291073963388,0.6258174254799601,0.6379885289047311,0.6815492250292696,0.5905545616601918,0.5967363736530013,0.7328441626277227,0.7101491134825083,0.6272454614883229,0.7132537247895165,0.8892965899901106,0.7259533478008798,0.7622083399423837,0.8822606887073787,0.8799539970621632,0.9721406690626493,0.9352800286271113,0.9138353919507936,1.0908319343087287,0.9745936026946445,0.8207858221312553,0.966858562823731,1.035785327414946,2.1935052410104667,1.3205134938868714,1.7922598531881513,1.026715228863941,1.1032871516777982,1.1118716387923953,1.047970174296666,0.9760941966147859,0.7799414640885037,0.8718632192008392,0.8101112097334308,0.849370758525211,0.7364556443387963,1.029439029357471,0.6911015642642201,0.7263506051011677,0.7473034976920468,0.5858844718659478,0.7030602709055047,0.8198578008844033,0.9726055883853566,1.1940502518760365,1.4555538342635508,1.3123635092147958,1.1344913897035855,1.1944209057570303,1.3810917925271307,1.2000367339348579,1.0254364056068717,1.2901781811015043,1.3107242280444797,1.028952039672279,1.1997311589329847,1.4190497927615577,1.274333632573312,1.144769547616605,1.2904893796727457,1.074312824447425,1.1351978173136024,1.0429204289302705,1.0542687646867006,1.0071757263339391,0.8608392828370975,0.8808628371401,0.8278482512318212,0.7863323426554655,0.7099957365033013,0.7714792060119972,0.8309841722088425,0.732770914558694,0.6674428765053046,0.7891471853481107,1.1113283506959701,0.8602995762448337,0.8714301080031872,0.9847327659592222,1.2235953913705082,1.217175855642504,1.0111194295046366,0.8270468760534481,0.7665644491169828,1.1348993402413237,1.0029455905337892,1.0477886138982395,1.0213145806742985,0.7631561742209515,0.6042624995820024,0.5553946376370769,0.538105785068168,0.5524867760156912,0.6499073142025148,0.8012752610948632,1.7386081055351936,0.6058309270390453,0.7003984594041421,0.8060626642054968,0.9303137232909129,0.6501791100633167,0.8401677651112099,1.0293734867761835,1.533556591623743,2.2427564459753664,3.0186833623740137],[0.7429293937866954,0.5798259096740188,0.6685408433750243,0.5268461164265078,0.5613620393827987,0.5829405189521384,0.5335077816345671,0.661643746412817,0.6240923310865516,0.6307052296940227,0.690725936921578,0.7562821590033488,0.6986692615384005,0.685286371165638,0.8563762502570381,0.797128916932306,0.8176083529714967,0.8514453579238671,0.9008220405775997,0.9007111918767149,0.8962068086663683,0.8946626476260523,0.9725735440226754,0.9433284449674996,0.9006315432421873,0.8670373465782361,0.8024296016285256,0.7606551015074565,0.8126109963830912,0.790122862133746,0.9269684183963667,0.9004969736993784,0.9773460613128556,0.9787168166882899,0.8942467103200948,0.8587584502688179,0.8445577378861827,0.8402597461988347,0.7684337330694452,0.8070528577625273,0.8512970522926283,0.88560228850153,0.8915985375529464,0.8372441393256714,1.404381566261324,2.0642761028171193,1.8523310090789291,0.900935957122219,1.0908852754033835,1.3624779650230006,1.363714703121333,2.341064896343255,1.8210293513815121,1.2427679314079838,2.057747357185957,1.4783436679324007,2.049243663814847,1.1502626838993681,1.4922031482223648,1.1690543188307596,1.1365431561646757,1.0499657229977233,1.0451632064523275,1.278684030569554,0.9849291892985068,0.9203068051068565,1.133176829660115,1.026555161838226,1.128694004741708,1.037753537023014,1.3625818174484658,1.8310770381724757,1.3504910945002477,1.389936751684486,1.0529481133044847,1.5377423401412542,1.0128494691317793,1.0328271278282084,0.9604431696308819,0.9769378575519098,0.9176120665631,0.8744796193464708,1.2147888604080899,0.9292743549079576,0.8465400151971537,0.8315753866580718,0.835478544272666,0.9105591214088428,0.8875406081099825,0.9779502672406644,1.0056919136318028,1.1088753802164262,1.0845063388552938,1.013890513665515,0.9621606543552443,1.0138553485935664,1.0174135618893811,0.940195994001686,0.9235416794702291,1.1327209411504562,0.9438743867753173,1.0474469676751401,0.9152518441705895,0.9788162455459333,0.9491917216798945,0.8542312258457688,1.0722613522548137,0.7685950911945599,0.730860838147512,0.9011172226697814,0.6740945130870901,0.6901248827056531,0.5932903631713349,0.6224000215466488,0.6637055735977018,0.6449169843059142,0.6941571786985586,0.6955453057713888,0.8632952868347424,0.8327125564168529,0.7888745752011774,0.7341256493028604,0.6626987807664743,0.5829701962380861,0.5678415632527073,0.5659744846529171,0.6520403935661341,0.6486788064351883,0.6156882498512478,0.8417671836872573,0.7404551773939567,0.8091235589658324,0.7569244991406815,0.9671318342496094,0.7726711589135535,0.75317379527486,1.1154616898661347,0.6798921484393856,1.2712408045556203,0.692208715805846,0.6962230780753953,0.7272152835911364,0.7551158861703037,0.6848263934069796,0.6982637678355862,0.7273360042573379,0.6910418355504887,0.7027022092084947,0.722315772049018,0.7203928946580068,0.7605926385284514,0.8073061914623648,1.2170510606688458,1.7704830481237115,1.2040698179294802,0.9980530399471986,0.8525392750796649,0.886213833344969,0.830374362692342,0.8374881583640926,0.7006396850304303,0.7293519277130425,0.6794166912221946,0.7147707062449774,0.7412661894566974,0.7757136360091158,0.8024112800184385,0.89832180940731,1.1986186078041954,1.1545722131323952,0.9370003193747689,0.7699533927954628,0.7239724731187114,0.7378766391471148,0.764496355746415,0.8414624858604209,0.8515305038104557,1.064602168863058,0.8607824169844365,0.9361049702848786,0.8778602443471079,0.8015750321259554,0.8088400740026884,0.7857927778892962,0.7749402452762578,0.7717730592612074,0.8952834954255212,0.9687810191409075,1.4105099864310082,0.9266460602298614,0.960891832530343,1.6640754884077469,1.032511749444129,0.9967371789700032,0.8589014620034107,0.7669152851278106,0.7611947155647706,0.6872170196973647,0.7056705063189068,0.7510350535654008,0.7930936277746836,0.8399007978450018,0.7348587590343783,0.7433933219106031,0.8814528986755691,0.8518904572769942,0.7726772749668341,0.8583147024895584,1.0112549846830312,0.8529189978059301,0.8742243586499071,0.9653576916251813,0.9678463069474926,1.1148623412719452,1.0302744058658726,1.0042572242944818,1.1774523015895886,1.0533278114830047,0.9248703885974554,1.0577145558342669,1.1533341599819618,2.4178536765574976,1.4282231913662962,1.9087440080113858,1.1712744917272837,1.2500038163805167,1.248747870924924,1.2449109599772539,1.0985363134609294,0.9416718570253846,1.031499786787401,0.9707063091173656,0.9656756445333221,0.8852288610701521,1.1843445751159427,0.7892631873490363,0.8186592410435605,0.7847861316926495,0.7124203598207695,0.8481398675831767,1.0098684398685234,1.13787970727255,1.3450565938992614,1.5848592874654461,1.447289563875489,1.2788170874851508,1.3193141526355157,1.510591756660433,1.326009070861818,1.1435117228760094,1.387367782294703,1.3888158668886577,1.1290363826712129,1.2969538565257976,1.49377112115434,1.3318903893922454,1.2272209957680418,1.3705959618410395,1.178056978205694,1.2438705619241017,1.171347666332363,1.1963314184583773,1.147044560479251,0.9973699193289306,1.0255265166377237,0.970798589039386,0.9157595930856777,0.8568670751741537,0.9262721167952237,0.9286832049491802,0.8428981165466215,0.7777358350613681,0.8756574513498102,1.1109509436950449,0.9318600954006219,0.9241376906337043,0.976273962025904,1.2356528723592273,1.2202634463963313,1.0423877239735433,0.9092379225155803,0.8639284330232122,1.160874032024284,1.029449244690375,1.0459908387960568,1.0233068044484022,0.8425484625325667,0.7112689483489876,0.6753735486578828,0.6501118589785482,0.6735914764723708,0.7561982060861827,0.9089720964603679,1.7263421472074851,0.7184699386180198,0.8228861946708529,0.9122160457162781,0.9271124937191626,0.7486092070381886,0.9666353802274054,1.1739661435864637,1.5974893063096764,2.108046718152799,2.8871312804356744],[0.6069380031168153,0.38967997177724045,0.4914546437429979,0.3766948099349747,0.39558301145775165,0.41508823594558875,0.3416005604583527,0.47714657245135383,0.41842990329547747,0.4376251465144708,0.4865629325319779,0.5433520972552691,0.48392649478879834,0.5014647709852174,0.6823908411269412,0.6013056792104298,0.6285739035547584,0.6920821993217379,0.7485736305208911,0.7459232393358356,0.7415231127762059,0.7230222771760181,0.8502335859529203,0.8574429580088366,0.7413223453066176,0.7328985577531244,0.6753312512768196,0.610195797692097,0.6471620376424821,0.6091506382938835,0.7284214397609883,0.6908727310684986,0.7795786129825502,0.7703263091504831,0.6829489303036242,0.6708203022703694,0.6357623761432638,0.6520859408808374,0.6062026238786551,0.6059508428883645,0.7447957435637698,0.749559233829127,0.7004626259220849,0.688510244444158,1.4726181527430864,2.1499049580285168,1.9404466722426088,0.784980089292874,1.0007246467447415,1.3471332951099484,1.1234827924387134,2.036307162790867,1.518737477295844,1.005892124740346,1.9503655925343746,1.2629849237782835,1.844530563299927,0.9413211861527155,1.3128555694389217,0.9985269315985984,1.0099476178178435,0.8750007324093779,0.8462806103728229,1.1515029086332709,0.8177783136019243,0.7423131358565673,1.005848825014339,0.8648504231044625,0.9729665419266997,0.8603184377159971,1.1998824159403751,1.680390958814512,1.1739140459021018,1.2499786736963023,0.8574350169785415,1.3947223167775493,0.8107674330058514,0.8245122280656983,0.7466982704366298,0.768672188195804,0.728905913509014,0.7039398983588153,1.1159320813005664,0.7474652010224011,0.6627694064189205,0.6426980831413474,0.6510439672644585,0.7421910964560812,0.6890373001995302,0.770982886537645,0.7978740610798972,0.9111422637135547,0.8588870095021448,0.8014257808684605,0.7588968534249259,0.8147439138981486,0.8374639512048779,0.7165252781977739,0.7075289417889853,0.9722859087364706,0.7103713549910007,0.8297402015578778,0.6776696441080218,0.7717671176588993,0.7437983970662594,0.6693905978025901,0.8868984727429251,0.5994376902157839,0.5778523497748644,0.7386198578919833,0.4885026739056587,0.46727931896353425,0.41036223937625477,0.4545170113176108,0.49749837613245285,0.475763487896761,0.542788452389525,0.533357695451116,0.6864895540781244,0.6522723368747511,0.608827724809257,0.5373507259737291,0.52062480849319,0.42291073104409077,0.3939589566995466,0.4009591401219171,0.4611850769134873,0.43687389594854253,0.396553278151487,0.599032893649521,0.50873289592741,0.5762736960342982,0.5217533776641826,0.7617320024868066,0.5595870378440339,0.5649390081200676,1.1350756728479885,0.5333171894948422,1.1688036017814005,0.5245432059972727,0.5391223582789145,0.6449141774264376,0.6717235509076047,0.5395384103680397,0.5244684350738817,0.5588817952925808,0.4986787412320314,0.5050541095806382,0.511143030505405,0.5045382790380059,0.5709529936795759,0.6556567493877611,1.0642881912155548,1.7557951618274446,1.1426224250443868,0.8320747709665874,0.6183780878933184,0.6670656905623619,0.608812154033944,0.6063205715386564,0.5065628014350001,0.525909896176327,0.4885973014241726,0.5005854531539137,0.5443395076083558,0.6206497681847326,0.5917353639890857,0.7039504213447114,1.011613384080315,0.9880355707817143,0.7556341782723266,0.6107601345122317,0.510993222738945,0.5146058763875698,0.5345954600796533,0.6457911376428784,0.640861612300443,0.8492997839843355,0.6488688397011264,0.7364071664450771,0.712272539529845,0.566733607981313,0.5657875126880929,0.5379189502509605,0.5177952057166584,0.6167221519396733,0.7441999987809989,0.8824715933843628,1.3388724729503416,0.7973559441042699,0.8000399809179248,1.552373225091108,0.8612239482214258,0.7975738477976825,0.6398072136495712,0.5678212092017602,0.6927070685994161,0.48518754332523123,0.46167438372918784,0.5229070317433483,0.5655854274659399,0.6392998613325372,0.5082844001214578,0.5228383385151751,0.6823599904210773,0.6615898168399621,0.6034681024272426,0.6669358703279584,0.8449723487033586,0.6989885164527759,0.7242954940727594,0.824691660588955,0.8499801143115393,0.9885716655298753,0.9049461174126767,0.8831329559947719,1.0673494706149744,0.9151537649405601,0.7599272769244914,0.8952171325083176,0.9679704965181505,2.315876494003559,1.2190263206177612,1.7194963719627159,0.9778457460965941,1.0594354182028902,1.0730750581597561,1.0568893581695327,0.9349876845126234,0.7332588045954728,0.8310713682563672,0.7622683609263494,0.7747449801101067,0.6462541482974213,0.9937063233242895,0.5673695875453777,0.6514314332415745,0.7144698145951676,0.4925748389206997,0.6502788215313864,0.7836209484300016,0.9376835508930607,1.1780262785347464,1.4113149369069042,1.2911590452236659,1.097814027004859,1.1495885734345372,1.3430919839989444,1.178392696842087,0.9822796893820898,1.2285556288055086,1.2501935491526746,0.9854309701945164,1.140153610447663,1.3598546678576433,1.2090131491371492,1.0908369307466699,1.21395143705216,1.0129780952265117,1.0646795790695045,0.9884283797951856,1.0042903040739926,0.9528549322714087,0.8075465568585249,0.8385347252343983,0.7777093497644002,0.7318746768795141,0.6439979904000122,0.7189368267378697,0.7476359153116267,0.6575249058210486,0.5822210821156947,0.6786439923593487,1.0051803388270935,0.7708381545520471,0.7987408444198941,0.8753021263818878,1.1949942556603605,1.0841111714982055,0.917956013738217,0.7695602292107696,0.6956691478048724,1.0194568774185144,0.8821724040272374,0.9060919314010469,0.9101769066749369,0.6791561895166108,0.522712511806902,0.44521293918656035,0.49161962054012726,0.5136816253935728,0.5169435533437148,0.6932925653143625,1.6482532470932005,0.48478772715523316,0.6470587655261772,0.7524413554276315,0.769918123853821,0.6291082585419019,0.8043961122262029,1.0973514631960506,1.4585491013768213,2.1280358820589385,2.937290109341789],[0.696240463606949,0.49626988233092506,0.5948712978601951,0.48665262704219436,0.506232499973442,0.5216890682847798,0.44036446439773047,0.5830156927867503,0.5001800453363054,0.5038719819297136,0.5704800807428249,0.6475899761439496,0.6058723463536261,0.5705841825226247,0.7931987873244495,0.7155489209367193,0.714191421631597,0.7548275189366818,0.7842667295744544,0.8212817217556715,0.7994276901256641,0.7612748977642166,0.8911840117204604,0.8912015633113394,0.7964996497823106,0.7454506470361094,0.7189470830496781,0.6815816700789697,0.7436347249324424,0.717755675113661,0.8092446599280597,0.8057776603183744,0.8933833660774624,0.8956413121928516,0.8012846137228977,0.7777842927293168,0.7765958665745899,0.7653397799985041,0.714968032880624,0.7219002967437711,0.8099169200774833,0.8588588927810263,0.8046023870280962,0.7645368309428281,1.320174525513158,1.9859108103955152,1.7268002036230223,0.8121444146536734,1.0341807123632236,1.311336027812226,1.340997757747842,2.2759706420740997,1.7924774300237105,1.224334109553003,2.032144939930195,1.3654747930568998,1.9857682350769932,1.0250928061090439,1.4027255924738569,1.0736021164073961,1.043223400716497,0.9868243239745276,0.960241434905167,1.2123495588072757,0.87874798916719,0.8361699063432317,1.0632854887558267,0.9331734995117049,0.9873802253874274,0.9080518054995208,1.1957156962146447,1.6838273443853655,1.1839157907798237,1.1605232473778104,0.9259638836737681,1.3527424236985834,0.8832616847392053,0.9296636660297936,0.8633988095325615,0.8844427070608618,0.8501614524997199,0.8355174975402221,1.2094590700691015,0.8800651509696328,0.7580813140059512,0.7795562492864847,0.772467183365854,0.8635472722438012,0.7931903353203744,0.8741759955601414,0.8897159836233421,0.965821762079403,0.9646628284521294,0.9151099427487616,0.8703960992223448,0.9387661730969542,0.961590622736954,0.8369962200028322,0.8135785756785244,0.9803677516586692,0.8147550619520784,0.911996600234331,0.7749397900766587,0.8589895348657982,0.8269835830911186,0.7719310389331545,0.9506338159393575,0.6868359500899329,0.6546707451893586,0.8047958995449733,0.5829107953040309,0.5613232077685958,0.5272360122364786,0.5371234227859621,0.5878879181693332,0.5469969929020841,0.612474763403676,0.5865093625115654,0.707593875173073,0.713320625535682,0.6569299347620275,0.591041616381429,0.5620264185061509,0.4996359223678402,0.4942142982621466,0.49015511103265397,0.5669637094972579,0.5397625503950199,0.5160938375273735,0.6774113469657391,0.6019901610606045,0.6609401741049468,0.6276956050039836,0.8744916942141031,0.6513607215345254,0.6468649125339981,1.219059757563603,0.5776073815843713,1.1295320945535017,0.5937539338957916,0.6090769195131751,0.6351458775835243,0.7027325206824736,0.6080771090109465,0.6298675134035578,0.6562176305126557,0.5976358944943485,0.6195872305256764,0.6198870987267538,0.588881042244792,0.6473426555261315,0.6950342731072946,1.097898117480684,1.7281455686533038,1.0961079995103775,0.8669897588598163,0.7060919963487092,0.7487257638796118,0.7076042992066132,0.705561174707081,0.6197600189080442,0.6659775918658921,0.6084275335033923,0.6367290973700492,0.6386508789800924,0.6836838310425596,0.6689134919742002,0.7251900060470867,1.0120630776565251,0.9961951172918924,0.7981885069767175,0.6811137193407761,0.6285937214561367,0.6527202633065254,0.6633992992740858,0.7588950933422292,0.7634456905326686,0.9470423168214863,0.7761946717628027,0.8620529349175463,0.8263686529615232,0.6822083350369107,0.6758427102246598,0.658721865534215,0.6382435858324582,0.737380356610519,0.8516242856031614,0.9432999835245092,1.3789039419209235,0.90340079818699,0.8236035960824968,1.4648949914198879,0.8630355240330286,0.81832903949764,0.7603606046882733,0.7166505927010011,0.7963736149736538,0.6068238634307043,0.575125245653218,0.6114989796862572,0.6714684952286647,0.7296823852844938,0.6113316210847102,0.6332776531210481,0.7671795188187447,0.7375575937364652,0.6998842892198209,0.7560262696482377,0.8909664520734588,0.7726759453146379,0.794442723256812,0.8657652906155267,0.8905364218000017,1.0730201079718527,0.9574172067079216,0.9245564880353916,1.0970518773120874,0.9627825690347066,0.811144999113414,0.9369311357532503,1.0168280030154704,2.4734201894137584,1.2662145842364916,1.731629398478538,1.0409258095935012,1.1270661978215442,1.1436771930626524,1.164552977589254,1.0171048674382481,0.8253215860619126,0.9408543838151239,0.8765852519422362,0.8384187378435036,0.7462054226090126,1.099013700985728,0.6465167459852653,0.7346197869569482,0.7803894331332414,0.5980185778946592,0.7713103737319309,0.8993963682656575,1.025617097679337,1.2221428489550066,1.4505214194306508,1.3202493439783785,1.147958995325805,1.2102133320086543,1.3789833663460267,1.2260403579374748,1.0226934239232746,1.2425861939864877,1.253324796487949,1.0177857375786323,1.1648541573337952,1.3592445013185432,1.1959655933490645,1.109925045765612,1.230197622487941,1.04676944246337,1.0963794821522517,1.03439331011482,1.0582734574384278,1.000958641056141,0.8652260993519072,0.9027387187638648,0.8496259308933535,0.8063057901463808,0.7282615649771398,0.8036745782090676,0.8149771907643919,0.7491594037063611,0.6696157251684259,0.7765346827608516,0.9966232580942455,0.8439790195705158,0.8610267340892308,0.9028264895686671,1.227859051498016,1.0941872278972367,0.9547353698002045,0.8391200906503519,0.7839192656704982,1.0656061445039373,0.9101413748806735,0.903848143842467,0.9256714263135023,0.7144401144541462,0.6188906167549407,0.5537319619938079,0.5872392207107541,0.6377983671787079,0.6054176672344107,0.75327331489257,1.611668691252716,0.5721115960870576,0.7279158166181836,0.8296901753867847,0.8093683916073218,0.7188793292650347,0.8797423447493196,1.1683289805544288,1.4174574737529875,1.9599565173311155,2.822325148314952],[0.6693204828699945,0.5203063158952619,0.6352824418310284,0.544725870536399,0.5759417300260818,0.5964607059397551,0.5295460414302123,0.630758730245795,0.5607535110867123,0.5450249060401722,0.5665923655361368,0.6193038443153178,0.5699717298896474,0.5671046928300513,0.7176331557944593,0.63860319791556,0.668594948588855,0.7011552135485282,0.7454772178947073,0.7709215240967523,0.7540769651165308,0.7378534920410884,0.8537110838705624,0.8506344447447052,0.7630568158347983,0.7276742374393838,0.6997717358762175,0.6549887021258999,0.6866627662367305,0.6497455635981123,0.7267275678142688,0.7249057702470431,0.7742008118857922,0.7604292503598942,0.6956154439737524,0.6974066537834711,0.6966381043849031,0.711380910448734,0.6726575422866214,0.6840919687122377,0.7866726478189681,0.8011183420014863,0.7544994998685681,0.7358939536077052,1.3129446225193315,1.992310438449547,1.7191848292339638,0.8310816343240933,1.0699608093811557,1.3270905323468563,1.2978811162885706,2.179636974040376,1.684982829784693,1.1564575180089094,1.963746102897352,1.3488437841962146,1.9771465424055588,0.9907384962466441,1.3373504571499728,1.024983338878578,1.01129895136228,0.887036557889753,0.86192557571256,1.1520425705644428,0.819142064503945,0.7585453281888073,1.0388581619752038,0.8767678822826936,0.9467409795080296,0.8625150956684162,1.1810404385642612,1.6741359509731981,1.1570193280775172,1.142501116683167,0.8398497590833799,1.2758574033997696,0.8007379068712626,0.8011650553116573,0.7499290242412527,0.7972256523590088,0.7519767225549356,0.7665410407926915,1.1662915326242196,0.8488288542833402,0.7505058700644424,0.7277658554866454,0.7072819732833863,0.7658417850216251,0.7041594312685595,0.7639224059566658,0.7803485229097523,0.8634952262315142,0.8359273231341989,0.7788413454855827,0.7618727474151281,0.8196427157619282,0.8784570196234587,0.7268979574090968,0.7341490631911883,0.9779122421122168,0.7312501579433172,0.8580923983821502,0.732715679483398,0.8360871015762504,0.8181868333385984,0.759028523736807,0.9585264544841734,0.7195570167898475,0.6945023526247354,0.8726951054577325,0.6250091266798138,0.6141807007579633,0.5752831227353157,0.590371727671226,0.5945368125136594,0.5795420938828236,0.6099493987518505,0.6109979084608465,0.7152536273797805,0.6917294035349443,0.6422119053795601,0.589369406881343,0.593376164049793,0.5461633226730135,0.5426500779516933,0.5679963431479584,0.6718357632965258,0.6039036007842284,0.5797088235040484,0.7196886337023591,0.6510328729336268,0.7218171754926371,0.6773235260880025,0.8911050375817725,0.6924052793410131,0.6657159412851056,1.2012009807392374,0.6633193346176159,1.219604989778997,0.6541590678012014,0.6552126864684684,0.6823918292914706,0.7068829982376135,0.6291314734626181,0.6010955839006905,0.6208436214528671,0.5936083982268912,0.614526590254126,0.6395529875460617,0.6080655410415736,0.6649800704738263,0.7348185319769396,1.0700557040030385,1.8066107408094254,1.1807324440722287,0.8620950846592923,0.6866769616046545,0.7464874345004416,0.6939398836520889,0.7107068564565718,0.6265467378526934,0.6258315411245553,0.6020396370282156,0.6127545047484284,0.6622774202816506,0.7102075362303303,0.7059997819664543,0.7507638728915045,1.0189963999990765,1.0331218192380047,0.8475164366559655,0.7291707877845919,0.6523055073097893,0.6458304580323361,0.647611749683751,0.7377256297449997,0.7225941772131617,0.9212851482672713,0.7529366930001813,0.818764926880456,0.8003323094336767,0.6810825117955184,0.67598210084183,0.6616051393417257,0.65785067962759,0.7361450747652678,0.8391462572674859,0.9688488065654884,1.3490740103566832,0.874842198178748,0.8756558810280409,1.5761569462842246,0.9304674036450914,0.8622030944462885,0.7744404798983936,0.744818374938623,0.8463317614966845,0.6759736547622128,0.6324321925053245,0.6884841429305473,0.7162998162978949,0.78251402316664,0.6660729641275743,0.6725571079971033,0.7956106606213589,0.7837098727972471,0.7425502859425309,0.7797565044959837,0.9140027340357114,0.8003172452150976,0.8078189523872439,0.8746152699705418,0.9135748676672285,1.067233032435613,0.9413605050896634,0.928227198972494,1.10072913805385,0.9382458946884139,0.8189043266030867,0.923417295703754,0.9811613716753501,2.4182582824638774,1.2297942555326073,1.718109306350228,1.0389638409746649,1.123213751503542,1.1366615390846913,1.161240365105892,0.9975368393630587,0.831715068110999,0.9275277442475299,0.8863641757093166,0.8566281636976057,0.771005596669049,1.1355522072331463,0.6773015577298168,0.7122684030270908,0.8278008836651511,0.6413277539409765,0.8155180649680278,0.9188204262518059,1.0337108907048815,1.251962076480223,1.4363945141262209,1.3512172266367954,1.1612725856150719,1.2018460857127164,1.3868218478085146,1.2269997413394291,1.0246315443938903,1.2356756722527789,1.2527500114266181,1.029896811903609,1.1503431484991473,1.3443664497477916,1.2048739948297575,1.115395237265741,1.2067461536136015,1.0386664830207812,1.073801213333534,1.0230121805123424,1.0416970699605255,0.9762559113529303,0.8687822368362449,0.9172189114113202,0.8476927044389284,0.8030085788341073,0.7390576722190625,0.8161822104887413,0.8170260271072173,0.7602952515614907,0.6763234239516114,0.7728054393445619,1.0008409210226157,0.8591392838739712,0.8768586594752747,0.9176212912312925,1.2564538326810653,1.0570675567567565,0.9328614894883175,0.842348918744356,0.7730964631517948,1.0333617082462176,0.8847513735892837,0.885414077944189,0.9505061405026326,0.7385897054295486,0.6736716942573266,0.6231917220918538,0.6522790275041903,0.6865591210836058,0.6762661928404228,0.8279410554411616,1.6887351626543556,0.6529090266300835,0.7876395351403872,0.9067014675885227,0.841759742901328,0.7770897215371343,0.9153341319549931,1.2669095790571732,1.4914390437629736,2.0424329270079093,3.078534464367895],[0.8357586322761648,0.669312743512532,0.7490304633741615,0.6540796325055757,0.68102706326656,0.7050375127817988,0.6142626315905919,0.68441314683318,0.6472367316729772,0.6781413514307641,0.728181839929062,0.7388206293316375,0.741739022435984,0.7530433941681854,0.9142431922909665,0.8441674594222428,0.8565100628455641,0.876163768843586,0.9039707259331062,0.9262059474142688,0.9219489824751009,0.9162143103876337,1.0054256387958587,0.960766484727359,0.8927852411991528,0.854899709210453,0.8561150002273562,0.7993907584136648,0.8550912527463397,0.8286708540066337,0.9368771315977088,0.89927441620925,0.9789282858776461,0.9758984359052297,0.8966130516615842,0.876181813032971,0.878113459450637,0.8643486331354954,0.8291576220170117,0.8404149917081654,0.9763670684257582,0.9668078519086757,0.935450034037385,0.9272796508445195,1.2551070391273682,1.8724159956201656,1.621410757670959,1.0345587139374073,1.1555704348519813,1.379208808679608,1.5475578251159043,2.45723124049274,1.956580889571725,1.4275659763559747,2.0874605673129567,1.5009333040721236,2.154909451837821,1.168715628958161,1.4869915085397236,1.1965567340907814,1.1337943782510678,1.0546851689985277,1.0349634426740868,1.2411368922456303,0.98784681694718,0.9567515755063182,1.1687416334966525,1.0427925725839384,1.077882771469783,1.0390015357879212,1.293421749419853,1.7279596729539222,1.286818961742532,1.2244839553721163,1.0251530785365948,1.3149835815977977,0.9904229563873324,1.0062511870238346,0.9572277892541761,0.995057573705288,0.957832215058225,0.9170356507361664,1.2803872395634166,0.955515352865046,0.8720123949181773,0.8717579185227887,0.8750944697316687,0.9243566840072699,0.8876223028716524,0.9784514424069467,0.9805424274979176,1.070473314422719,1.0620318115428646,1.0004519222177044,0.9804468562382607,1.0639404072599825,1.0801091429606697,0.9340362446967184,0.9115206387992579,1.0432253679230656,0.8704655062157753,0.9340052179723146,0.8455843310265616,0.9161573346662119,0.9133448827427113,0.8320003543445058,1.0124522521193928,0.7753382913255876,0.7532808158064273,0.8660729313741807,0.7018885233208761,0.7066292719718001,0.6525651362412468,0.7036306345326048,0.7265235392311149,0.7319488387878013,0.7681349178585529,0.7738427912348101,0.8865209622495468,0.8650972376716282,0.8416601482517835,0.7931803392492579,0.776928934519545,0.7180862395787077,0.6862473868631741,0.6491714488744988,0.7824817236190718,0.7189806924166987,0.6579154856385634,0.7807113815798716,0.7286662906973087,0.7871463992351114,0.7455483668259326,0.9474679634583378,0.7794854010587573,0.7521496593887771,1.268720968775777,0.7081207292152304,1.2368733934374396,0.7884566060185733,0.7978029031708518,0.7962084268055203,0.8481134222053603,0.7693047672340032,0.755625644861375,0.7638706020363609,0.7400789313792095,0.7288123603479407,0.7483174622695329,0.7067913038471523,0.7364290505014951,0.7636835405979987,1.1051916093350325,1.7729848358132674,1.122408371484909,0.9016924022950444,0.7885113686072854,0.8188156768164729,0.8065664610944567,0.8160958271369428,0.7524080397102435,0.760805337778465,0.7351956141432401,0.7696059640112426,0.8025836513907354,0.8532199977584821,0.8236825013485338,0.8433923047582863,1.0751560234643278,1.0728901040833965,0.9240351226931875,0.8337677024319057,0.7537319893391439,0.7707892407726695,0.7778155992186507,0.8685977347670951,0.8432403187182432,1.042235983030045,0.8663003379584139,0.9735414395271139,0.8848627018194359,0.7923648101384729,0.7928566746532827,0.7878587348792895,0.7841952695146848,0.8416300834221295,0.928076532513215,1.0277127117099072,1.4293771713609746,0.9704939398637049,0.952634460001959,1.565832816067066,0.95943553740502,0.9289941297643116,0.8775827925283181,0.8438879195193274,0.869694451000637,0.7333326924617782,0.7047989026739416,0.7411040826100578,0.7785528831079291,0.8297961567515776,0.7294749726173025,0.7507498689446244,0.8618523702016436,0.8435458333276823,0.8174838026278144,0.8557729722471852,0.9702754455696465,0.8866033607401137,0.9107496015451606,0.9711359347049708,1.006601442573249,1.1916766713606668,1.05475955012178,1.0142283164962012,1.1806357916967154,1.0004743488683276,0.8958712258054932,1.0026143917276669,1.076944986935517,2.5568117099012437,1.284162414598947,1.7251055465185072,1.0978223834032228,1.1742275009468306,1.1868450150491103,1.2198640971364694,1.0775409554770987,0.9023691167783828,0.9976545032299402,0.9752348684546404,0.9332672231766147,0.8384458985452659,1.1724560980721317,0.7703321539279313,0.8367875249808013,0.8671471103412378,0.723301362957689,0.8650952542731175,0.9906188782269332,1.0872961313716343,1.2808489906047156,1.463521977432049,1.3649430028895013,1.1927272144147176,1.2453537673268702,1.429836310130549,1.2443713101730802,1.0611605332821692,1.2675904204690704,1.278113190242831,1.0786605122389767,1.2002253565442569,1.3726780392934794,1.235498434358507,1.1786523521707926,1.2707717702358416,1.1066155738941075,1.1363052470581183,1.0688809234717354,1.0990563122147807,1.0496344033069591,0.9399602734284667,0.9747769952040248,0.9308545264252118,0.8999439363571369,0.8283674376138672,0.8925555398431531,0.9012130562009778,0.8554547299321237,0.773387096937176,0.8806826283544941,1.0634809389072262,0.9281174154233292,0.9725715117418935,1.0122895125050935,1.3428212103543908,1.1078259375265722,1.0164273285630891,0.9299904223887931,0.8936915104026625,1.1373359926098627,0.9767043822068568,0.9597307407892921,1.030495664152545,0.8176274150395276,0.7707136405132039,0.7020306234687875,0.725228424993685,0.7822344254304167,0.7509439698802011,0.9123312195638542,1.6643952355706033,0.7213079939981992,0.8761136477547481,0.9977378764184143,0.9411390611015278,0.8536748701390913,1.0208716297683218,1.343626943371988,1.5060869702307018,1.974336299416939,3.0472175874719936],[1.0397852782869683,0.9248199631723834,1.0115400599420934,0.8944475371546039,0.9087932518378328,0.9363577570397101,0.8868265946295553,0.9661245848790483,0.9318559556066763,1.0501762952642062,1.1499896583683489,1.123378196691518,1.1793162018938799,1.2333267007577455,1.399204030072297,1.329987209045725,1.3383571720247875,1.4032263279742125,1.4640022772161532,1.4321076346266661,1.4586428509815794,1.4739759100697725,1.5057718747688622,1.4624935715224794,1.4458753106225,1.368156086391991,1.3456576425921427,1.2836811711873046,1.323967810979427,1.2830243540402537,1.4596984487485387,1.3115408025482362,1.415480178991397,1.4453403129044162,1.345349135411782,1.3740260745585915,1.2997839410274803,1.3173727064316354,1.284578775105894,1.279956569873386,1.2855246158452371,1.4756096376873993,1.4815215022220884,1.4423730626915512,1.5351529882593389,1.9808529719185848,1.7861364591603097,1.5700858815797603,1.5944049624457213,1.7143475316085703,2.1162453112223876,2.908984826873499,2.4905112470571003,1.978576446431369,2.4923562892613766,1.9522770366072675,2.573325097020009,1.6647182660154385,1.768026871570713,1.6484735254334681,1.5823036893223015,1.542931937912851,1.5756790155333789,1.7764357957675065,1.5518403517989394,1.4980186169199023,1.6923175908122003,1.6098044996943606,1.6215452272246111,1.6079836264377798,1.7825630323241637,2.2135965855825828,1.8691758064985553,1.8267759379661483,1.5938553119905292,1.7483630500442509,1.551310761613326,1.5092264431269047,1.4589360894937518,1.4677541070375557,1.3415090887319419,1.3271957018399325,1.537951524049447,1.367804000923986,1.2363831610062275,1.2676009138946374,1.3343447985106653,1.3568359120491453,1.3957700295082611,1.4541397153276743,1.5171940377013233,1.5846560874961357,1.6134470632026985,1.5399843880588688,1.5149002496132544,1.6420439568745986,1.5743720814617332,1.3774494054227562,1.2607323094481337,1.2801151049000907,1.204019112410358,1.1934495164417622,1.1693835282178244,1.1653898207050362,1.1606065651205193,1.117273282445227,1.2317873033249505,1.0309237894955892,1.0108574962093795,1.152996180819501,0.9808547070338696,1.0170057049756067,0.9561241892219852,1.026811917821824,1.1022939974641537,1.1244270272904693,1.202813060903737,1.2450075608006501,1.434538477583806,1.4014538996295358,1.3635612775969672,1.2485929306857833,1.1712702607375491,1.0674255554425054,0.9957111073004513,0.9826820608096213,1.0510166323602206,1.009711529345788,0.9574948065000206,1.081906319612987,1.0333768194407666,1.087178081479498,1.0726144569612082,1.249654831312701,1.1090240125829347,1.0527139967273362,1.4221763862284227,1.0549983127951006,1.531450317249814,1.1690813927659527,1.207166593446204,1.2328062735776208,1.2747840010638063,1.1935560475334757,1.1934381475091018,1.199181028205741,1.1556616972467029,1.1217935122267173,1.093508742058087,1.0184919321485497,1.0140312598024055,1.0126684415173641,1.322798509518032,1.8198546197574903,1.246935671619228,1.1536203943078418,1.0911206186781117,1.0839935185558653,1.1304327768915694,1.0946040407380138,1.095643550025118,1.1554283245909638,1.1374967142180608,1.1499737216556198,1.1572209902506063,1.2067724393627852,1.1787737351112,1.207905951006789,1.3927470948730212,1.4010795074224482,1.2679944694846028,1.1985436513448926,1.1379536980424736,1.1499734608137389,1.1543389839381564,1.1818086018893161,1.2056794977349723,1.325417060089953,1.2327759154513127,1.2645055125429763,1.2444080456097464,1.1126017300342026,1.122094319805009,1.1212295386429338,1.1255255960751778,1.2159439928271876,1.3283253283894187,1.3783575367181684,1.5717154902712136,1.278888824017267,1.2583189212856667,1.8043802636683655,1.2609752885197592,1.1802014810513934,1.193145984917764,1.1582431015757952,1.1500960427219944,1.0343521552192276,1.0156652385334959,1.0510202276500644,1.1058133184837113,1.15959886527949,1.057154311563099,1.0776574921306163,1.2090674725757995,1.1758859508703752,1.0827748391060739,1.1769734842324089,1.3272189681738589,1.1872804087117304,1.203295009419445,1.2991330989613248,1.323052347995598,1.423017209707637,1.3187104867344186,1.2639574339095079,1.4493526682513644,1.2503181864742487,1.184858998365234,1.329661484709179,1.4224251783265098,2.8353177480187592,1.6198679370654063,1.9878419818150217,1.467704449964214,1.5034340975794158,1.487209492726829,1.5108773759233507,1.423380044379222,1.2510942480558018,1.3316590917473916,1.324855753537592,1.2655343205105636,1.1708108670056683,1.4314482987964103,1.0816085830860303,1.1332359491575068,1.105756852054763,1.0443931437072602,1.1921384770046939,1.3103698980005716,1.3958333670524172,1.5679021992916662,1.7531314014983563,1.638430664006747,1.4812989128247027,1.5889155476236916,1.7372837739131668,1.5421313109977104,1.4134976819655058,1.6176785259871747,1.6158087704732793,1.4344816682862085,1.571889103904987,1.7229071117676475,1.5709038721162623,1.5256411137164667,1.6461058678752143,1.4840379825664243,1.5251676986826774,1.4477763167095354,1.4930220925749016,1.446034724322942,1.3147765566862093,1.3391948279631418,1.3059187340508132,1.2595275015294594,1.164094843716097,1.244990651759342,1.2050193639849276,1.1462426742956695,1.0919858699546672,1.2118284485428104,1.299756556053375,1.190892968506525,1.2034321497964187,1.2234891941639463,1.537247144881876,1.2737203010902522,1.2018798185416668,1.1512256465706214,1.1199446364094445,1.2862515855491707,1.1591670678698263,1.130555742721169,1.2201391734558138,1.067801082417889,1.024765142653016,1.0027538249123156,0.971181370848562,1.0440657572804553,1.0745485977101712,1.242054557284876,1.7685828473292897,1.0497291913123805,1.198543983712374,1.3177916714887072,1.216159269137532,1.1291717961694436,1.342988093932856,1.6122420063003837,1.6658347804162152,1.9909108599317953,3.0063072827566217],[0.6934505711655765,0.5352391429355894,0.6505124990289612,0.6012067424738974,0.6350688066032457,0.6580798389009771,0.6318322315071521,0.7233389020979473,0.6709971750943619,0.7307081429339879,0.7765883421770129,0.8053738727482221,0.7789544604990878,0.8205881326951333,0.95047555223485,0.8614149964456811,0.8934976736667286,0.9433426810177001,0.9961592784691978,1.0040326451568378,1.0087187126348398,1.0019502266304425,1.0794376973290012,1.0445606653238493,0.9971037771146911,0.9560299195741442,0.9317049322032765,0.8755141115516333,0.8999855601609679,0.8565620233617885,0.9560345814312845,0.9125346167857726,0.9672677747461788,0.9665545797420458,0.9019429719553157,0.9199040047142472,0.8966845918443354,0.92744374776315,0.8848993083439761,0.8885810922196699,0.9398525956610455,1.036221489353756,1.0085364353203041,0.9578633852009714,1.3424466523626182,1.9425947353750814,1.6478649897090185,1.053093990568821,1.214784799295629,1.3932173832717136,1.5518254362601658,2.3495511727956004,1.9181092049189905,1.413694563259881,2.078759764702862,1.561407196092892,2.187953441677547,1.2410664271803669,1.4956889145102465,1.2524441469838599,1.199266819747718,1.0827922007297404,1.0819173031654523,1.4097819702264947,1.089825234452039,1.003473722324902,1.286870287575799,1.1352127298216488,1.1617472382584557,1.1006792689874216,1.353055370488007,1.8694410499606688,1.4142232627711826,1.4194182730102929,1.0758614242645501,1.41633990740239,1.0439533547348683,1.0216113680653358,0.977796482916219,1.0243315253115626,0.9738853372726037,0.982295172801213,1.288331252642939,1.054911726484829,0.90539637618382,0.9097627864887515,0.9216176420200671,0.9562707926202989,0.9331685265670703,0.9826998584013729,1.0136319306045656,1.0714544623861886,1.0629356776008567,1.0043641012284528,0.9846691712138689,1.054861393214948,1.0914105033857218,0.910565739013486,0.880267300624947,1.099975982203786,0.8894771378852943,0.963821787360435,0.8802027243600788,0.9430769476002785,0.9313828076129829,0.8692215394620835,1.0550318428762002,0.824673245955258,0.7775527350537932,0.9390210850944708,0.7130973564747893,0.7354028125522845,0.6997529220824724,0.7300582589028741,0.7581840321999649,0.7712790626413304,0.8259038529556089,0.8510495557407141,0.9666803063786108,0.9266834561443275,0.9141084463401965,0.8422933332231396,0.806094488889184,0.7443382201749104,0.6930429222357125,0.7094257187069503,0.7625683473940617,0.7103480251385169,0.6916260467238348,0.8198298429969719,0.7400107717734548,0.8282739992158957,0.7853066686084735,0.9934726525213234,0.8060364918916616,0.7708672724345561,1.2674744936335418,0.7700173845651065,1.3266854339771765,0.8256728166749095,0.8618601159594288,0.8930512898841854,0.9111867173192355,0.8330716760819208,0.8042196356163398,0.8221567915488303,0.788919418975568,0.7847937467892294,0.7858176152818844,0.7311654602088032,0.7714770153787153,0.8137119757705125,1.1510184691937602,1.791242412053911,1.1661718092523963,0.9562665460183601,0.8118577413437339,0.8493248300734981,0.8426913634889273,0.8319680425924921,0.78357202708454,0.8032669754429186,0.7838871813331196,0.7977761449326282,0.8237704486575045,0.8534837512257092,0.8408809168697733,0.8782848887907085,1.095291413257823,1.1310411074690174,0.9517645972619598,0.8633147360769848,0.8007438312618177,0.815366134538297,0.8247879945070642,0.8942335655922059,0.8878171499404367,1.0650312792960617,0.9509824969452593,0.9827684024203548,0.9536540056852644,0.8335098909698179,0.8334943340938759,0.8227123327542033,0.815694815751199,0.9032294116184959,0.9826553844555528,1.1242633361169205,1.3730429936742496,0.9937358120257064,0.9684577012776604,1.5934161197246548,1.0107830961664523,0.9229855816647093,0.8980941002180978,0.8617019454431714,0.9569220514172176,0.7608479362163918,0.6961083403667467,0.7546632148311354,0.7851550549438007,0.854331226696873,0.7322899122731014,0.7205493774779009,0.8559183306444957,0.825335788820605,0.7494394344022582,0.801752364246343,0.9510820144291091,0.8112111580995738,0.8162616280424356,0.8949489495308428,0.9268109056855843,1.0861849965143326,0.9531472784484789,0.9211682012860414,1.1108035490621198,0.9374724224742101,0.8255217100399593,0.9515842713703179,1.0379922004285638,2.5462621955773477,1.284086683313106,1.7274484048063876,1.1046768783275478,1.2022210811736227,1.2220891643920344,1.2508387121672475,1.089586137511255,0.9056689185212916,1.0179726150136752,0.9773272827360993,0.9237890761085487,0.8321294698956342,1.1696048567513124,0.7447635721995571,0.7859408859474956,0.8918919506319453,0.7113006150014388,0.9032835495383411,1.023278063064212,1.1155622348760563,1.3346136232534966,1.5172347904500971,1.4315918948955186,1.2390478472728301,1.3028498959758559,1.4954452448699256,1.2985067116227704,1.097348601378746,1.3053442083421467,1.306966186503271,1.0798006585788704,1.2179880414544013,1.397616302814702,1.2294046957699571,1.1484689957279155,1.2671429186151522,1.0950068136289788,1.1529574489067052,1.102127361635637,1.1330937134731718,1.0512116067823065,0.9251156314275504,0.9748220252606078,0.9094748942955649,0.8610255492063,0.7951721316288606,0.8775584942359829,0.8634010097362238,0.8074860988544093,0.7310837256524291,0.8391777402872893,1.0269034306090568,0.8956869263944657,0.905075017922544,0.927323766092073,1.2531128043295732,1.0646486922795406,0.929666371244896,0.8432479876729279,0.7785802071452431,1.0408002119317556,0.8852922952232554,0.8787988849970128,0.9517003120416561,0.7480690933397885,0.705486988149942,0.6810171353034072,0.7058059591161537,0.7356498181117154,0.7328720436653108,0.8763260171615587,1.6859504986395526,0.7003077147224296,0.8241311417853829,0.9447178272806391,0.8947689179532728,0.7893000808450217,0.9598189821278686,1.2850130960541792,1.4475347427921958,1.933744135846415,2.9519297926058465],[0.8120355354820681,0.6262436622389208,0.7160166295182359,0.5766375732217488,0.6131650487329094,0.6698117143660228,0.6079576511984339,0.7473648523367484,0.6564634490080543,0.6846639389922112,0.7501119587659273,0.8647833366471197,0.8119738809136354,0.739079817780143,0.9418437950765678,0.9067512887518201,0.881281859542584,0.9533808841610114,0.9616231860688857,1.0110206343962098,1.0006000893669755,1.0173149906182872,1.0365942152929404,1.035226206599018,0.9779896831320576,0.9206715294377708,0.8972942771354938,0.8485627686448352,0.9266930847853542,0.9326243574676472,1.0559739743527587,1.053342583084495,1.1729194704498886,1.1819223523589197,1.065951164477667,1.0297172744907424,1.0345978925890722,1.001231347759615,0.9342716706059746,0.961729836063016,0.9554507592664127,1.060213113700503,1.0688825549290113,1.0083145892906433,1.400648098439959,1.9916268685941947,1.7199916182725747,1.104266572633983,1.2390248751272042,1.4228949988661155,1.6135403900021195,2.4072864098552538,2.0190650247625426,1.5125215942159007,2.2253970381563364,1.6842563842983431,2.2525401667207294,1.3580575786093794,1.5953137274521014,1.3678725751960927,1.2720093200044027,1.2028165657906205,1.2165346824617138,1.5085276108914227,1.1640275048813296,1.088302697617911,1.280075299919915,1.1584461065629965,1.1089787654770278,1.0578268086901137,1.2724466070502667,1.8059223484106692,1.3808235572868413,1.4336642268031896,1.1388660547129765,1.5329586559821227,1.1777212519102627,1.205563855275689,1.148311594936362,1.1715444242401607,1.1632289766433024,1.145955515415914,1.4130023164537453,1.1683929435920968,1.000602548013256,1.0194348541049862,1.0253875643215073,1.1408948985333525,1.0578636415475424,1.1969059343933837,1.1832373014338404,1.2328939753943389,1.2212520237400457,1.2001638113131112,1.1145307528281132,1.1675512464387234,1.1599594517772018,1.0759276852962942,1.0311027628901546,1.2703248578247928,1.0913123409839531,1.1541914903481079,1.0517811839712325,1.0990951962211035,1.0642090893780065,0.9711990744189253,1.1467000710209996,0.8873004513820414,0.8229215267638857,0.9702219256490715,0.7646582037448969,0.7701867830239328,0.7099083007449274,0.6987290412637287,0.7252176098598389,0.7004732798638501,0.7629907794721617,0.7226859650615757,0.8676644806752759,0.8624021742062321,0.7854920300926996,0.7206282250448837,0.659706302058405,0.623466549283696,0.6005587039497428,0.6433233005353642,0.7337422982028707,0.7198352130408089,0.7183006230514338,0.8686469539355057,0.786228611145922,0.8759941768070381,0.8279327559456365,1.0582923812692082,0.8370343435922558,0.8010847174923023,1.2983713398005579,0.7117337916993599,1.229683818630885,0.7311714525682346,0.7247286761289452,0.8072776220039682,0.8610405301751688,0.7703476504954263,0.7946244415854506,0.836639679699491,0.7703931824110107,0.8086313809977337,0.8269724209379141,0.7756011619906525,0.8619291383749483,0.899324060639507,1.260464618137415,1.7513088973306583,1.2463986696744618,1.1084167052561493,0.9392552670339865,0.9766876714313856,0.9553757113407417,0.9155008733091134,0.8306317093643555,0.863855435158163,0.7760022940322135,0.8284721684708403,0.8375944984171986,0.7933908043026243,0.8294511097399144,0.8622900379974962,1.0906398687827068,1.0863851987967417,0.9315204438030498,0.823353737801809,0.8207172016469596,0.8647451648625691,0.9018061994081307,1.0099403197240666,1.0145793862168104,1.183563187918713,1.0647951902638404,1.129042581996629,1.0200789461786894,0.9101397748454692,0.9112409449118284,0.8915136410082858,0.8628639019237868,0.9425840759894378,1.0300630714866394,1.192983969585427,1.362956715017765,1.016140430479852,0.9650634438953657,1.5606708321521636,1.0318581531122608,0.9510110417769805,0.9301571847911158,0.9133486608155724,0.9622230341735065,0.8015499053640243,0.7387493287659793,0.8082976112391196,0.8648117106406158,0.9330261984657027,0.7986718729457158,0.7907548554393884,0.9373416748220161,0.900003159511326,0.828119988689405,0.9051576212382761,1.056998964921507,0.9182743307372061,0.9312633800404041,1.030752032413415,1.043165643787177,1.1790317166626976,1.0860487589234424,1.042033413534981,1.2250755426203013,1.0602591682222215,0.9457026086864464,1.0964548608001934,1.178600100074384,2.6694195800414895,1.398125228967839,1.778891218029914,1.1932100748943075,1.2911588604029542,1.3120889792356838,1.3435839938671685,1.197451945007367,1.0031730405116197,1.1065099231143762,1.0389611490516377,0.9853480851333121,0.9115157860448921,1.2393119859214083,0.7859992234657077,0.8577583521067226,0.9187813853688437,0.7615333734624579,0.9551762517281539,1.0813307346456662,1.1941915920980315,1.3776677042588539,1.643991803344798,1.499222082264304,1.299591436042502,1.3903542555990354,1.545500123761522,1.3813923259364278,1.2018251716781214,1.4061704052762787,1.4041945639983378,1.1775820871910871,1.33187841973638,1.5087561105816303,1.3430043535220442,1.2890104060806917,1.4192378103618615,1.2352862613864555,1.2797661721472167,1.214171288528115,1.2421709582582425,1.1829656782012397,1.0345478551980254,1.0781779921373316,1.0279746885793255,0.9698684565085893,0.8871770447279933,0.9701678471846032,0.9747366901827572,0.8838403164441537,0.7934993278402439,0.9188653955937315,1.1234302695047313,0.93747964906597,0.9561821204551272,1.0045992977673335,1.2845130238569111,1.1723601844029865,1.0320437014639676,0.9375320764506099,0.8885510947868053,1.122323272039523,0.9745943621894296,0.9663871821599817,0.9773204362415281,0.8194019120461175,0.7262715256105924,0.7111140944041673,0.7277028769325293,0.7859756554996832,0.8153102700032697,0.9325134665594838,1.713759765112853,0.7691530050155517,0.8833647906683458,0.9974604035897361,0.9635691707218862,0.8350562062447737,1.0353608619424046,1.3089452489523998,1.5232206997065563,2.005003587245274,2.8383780659495432],[0.6710389079537326,0.4766561519183237,0.5428165689764322,0.45066638081146587,0.45648781227368956,0.44632944072359154,0.38658914781065107,0.517096558688297,0.43162670985589835,0.43391880487046397,0.44809388257705,0.5631635299061385,0.4968212256656553,0.46664141452130514,0.6431531156850163,0.5963542187209956,0.597460617924953,0.6645098878422088,0.7256395575976163,0.7525322612979147,0.7513997090948265,0.7500431329095059,0.8640999509520424,0.8901886031068379,0.7102806006350583,0.7028971516509466,0.6715092947290504,0.5964317906118827,0.6421771885786535,0.614070851867895,0.7196673348297239,0.7240260447167587,0.8204491826119038,0.8007539158791515,0.7138139712546685,0.6787494540364909,0.6866364091478229,0.6790968003597682,0.6195337222210797,0.6322086178363112,0.763135886283524,0.773370349227079,0.7264146598930983,0.7103585267453738,1.4390473597666253,2.0886368639332664,1.8433202773637398,0.7668674099348265,0.9864904986813311,1.2751541491889793,1.1466538931849721,2.038205106238158,1.5546283814643103,1.0640549940741135,1.8800901852794916,1.3452397162502714,1.9222022448614822,0.9933082038520012,1.3319247683137316,1.0423015916641734,1.0335443970056777,0.9023017995574348,0.8834332862864384,1.2241219441086335,0.8710823561380241,0.780490589833861,1.0290318770074158,0.8753953368779613,0.9651026507863334,0.8398612440901057,1.1729544476689928,1.7241074483373149,1.1475538119827848,1.2619309696282792,0.8461917141059266,1.381886406392302,0.837717585493868,0.8420788289022743,0.7850496608232992,0.8127393448176333,0.7830586136290326,0.7535071368595501,1.1906991772447846,0.8013524904669496,0.7062363642188628,0.6883887875562623,0.6922718753717458,0.760110331717596,0.7071261621024275,0.7955702972698412,0.808458946987777,0.9255659431934229,0.8725891419995576,0.8191638499968127,0.75808873677417,0.8214116570807647,0.8066193713621301,0.7475567657684739,0.7414351316737177,1.0329843982235039,0.7503381082879904,0.865799906782649,0.730628371899776,0.8209639780059212,0.7862826198425494,0.7215721366749105,0.9238037188281092,0.6656757762924946,0.6341049532410516,0.7795989399829254,0.555748005726439,0.5042153444337261,0.4412868516196389,0.4684975867163474,0.4844553583560123,0.501306131420656,0.5380572266518894,0.5373582155382859,0.689948343367924,0.6565786264842165,0.6006810082327889,0.5333227326986202,0.5526114705074379,0.4810853265499828,0.4363648271117313,0.42605021421281936,0.5693883652966529,0.5073672947321924,0.46728683102428115,0.6388118428208867,0.5463595910989171,0.6155839716946101,0.5651447152989288,0.8068445249049948,0.5890782525095175,0.5634571283154087,1.1311181622046351,0.5763670984819914,1.211063225656669,0.5575638948612168,0.5616206221253018,0.7027916205548315,0.6769853614715672,0.5366598683389873,0.5403595564022928,0.5545601142314058,0.5137545475914508,0.523873112055534,0.5632179158795801,0.533493300935588,0.6066324116159276,0.6926766741644282,1.077716409192891,1.7910227438608204,1.1804487537847526,0.8751236176536632,0.658920848430186,0.7261739433577314,0.6652241352363834,0.6689716240803361,0.582222093692533,0.563769384678201,0.5258878896753973,0.5522027319051506,0.5862540376012495,0.639935408714497,0.6206597451985658,0.6874819049570303,0.959652547982877,0.9774118966590286,0.7560460010544321,0.6262011513863309,0.5592966374890446,0.5711788443488879,0.5895799694102951,0.6994788423833248,0.6890006184945349,0.8989697021937039,0.7110862536706419,0.7879207259695733,0.7475975290762492,0.6255024047938387,0.6153812326838473,0.5943922980218105,0.5820161906246865,0.6830276788377391,0.7624971134105297,0.9026619563994134,1.3078455178748214,0.7976074244975392,0.846917329105197,1.6065541774192833,0.8582728302853022,0.8415859430428396,0.678036336143083,0.616100217788008,0.7188839407128964,0.5416165089005416,0.528937013392896,0.5805041668842477,0.5958486237436545,0.674223563016394,0.549483224231558,0.5574999460253314,0.6927741804985013,0.6792131921953503,0.6221394959269114,0.6646499681205098,0.8401962079035569,0.7060563162909524,0.7277410799668067,0.8213627042038684,0.8513043047846486,0.9977830420566217,0.89859819615112,0.8734236751951006,1.069606684577811,0.8921798371799903,0.7449961006271207,0.8700375953393708,0.9491122776638753,2.364014003673165,1.1920341479104892,1.6850573389779366,0.9767103601732294,1.0660779309415331,1.08915714735682,1.0878966981413682,0.944286478448779,0.7438043910200135,0.8416114337951854,0.7856793530878657,0.7726306480290162,0.6678343357454808,1.0447704983262398,0.6056308286357786,0.687163177874636,0.7473364798602339,0.5398297935041504,0.7074715638996705,0.8365201381466376,0.9582322415948855,1.2110735464661782,1.4313683988919674,1.333662781979861,1.1177088113652254,1.165774772103543,1.3688093207315715,1.1909188896893035,0.9758701344258675,1.2157709744898855,1.23384752856983,0.9715967798627565,1.1247998727877166,1.3423006698293998,1.1857826833827905,1.071916884555077,1.188617166555841,0.9980876614618375,1.0521962601541164,0.9863627234473553,1.0022008679172496,0.9407939735084678,0.8067821339204664,0.8481054660610184,0.7809348355488432,0.7361569443565784,0.6626853404758785,0.7273520357381621,0.7650992571116388,0.67998213323967,0.615182359903867,0.6895016394196353,0.9705705481870728,0.7920657738828234,0.8054544425593247,0.8800527352347502,1.2202441923243244,1.054583416658419,0.9156865659077233,0.7779872176230439,0.7123655458290079,1.0087545523801522,0.8862390981908996,0.9119968298433823,0.9338500101876862,0.6787727218203462,0.5782700747081876,0.5171473209963906,0.5425747814745819,0.5621522339155138,0.572262616028328,0.7363679562305286,1.6787610635643844,0.5391170661298359,0.6779258854329817,0.8171512867890763,0.8238748544018311,0.6682517471568562,0.8543786459022669,1.1720528305119857,1.4561355193803063,2.1055011302363025,2.996498905747204],[0.9120431955046633,0.7631194985975058,0.8470879904540989,0.7241473282273508,0.8326442887177092,0.8661318035687323,0.8439248265013046,1.0012858641495817,0.9247494323826622,0.8948174201457245,0.9301858043406647,1.1037436840893262,0.991253878682601,0.9178327526156371,1.067309039862517,1.0693991148008157,1.033034501234415,1.105475771106998,1.1034617690587762,1.159853893086019,1.167869699072483,1.1558293626287006,1.2439565231302494,1.3294047673314267,1.0734277619356964,1.0917172598612639,1.0806509799986046,1.0217176659290264,1.0832871547843739,1.0999147879713957,1.177888537075917,1.2086901436521367,1.3280494654668327,1.2917258538411303,1.227985118177785,1.1684035228803689,1.195976127871765,1.160082153460654,1.0921107128711263,1.1323029385657006,1.1936059874836091,1.154100371086127,1.1260545649515825,1.1016730420315082,1.733925869471641,2.3000924096645203,2.0581783333236294,1.1121304123401268,1.2172567592573476,1.4480899866169281,1.2824553350042205,2.039035234609716,1.6928955384538438,1.3625589072721722,1.969401847069743,1.670730009187129,2.126953411945493,1.318491907156514,1.6570028453489773,1.4210980326426335,1.3738348796897513,1.3134810312904093,1.308600202515858,1.5676423217600446,1.2670270634680787,1.1934942087085303,1.3165082000809913,1.2347627074676255,1.2751524571520552,1.1864591411564136,1.4058917422142982,1.9558061247225815,1.4382210346591373,1.6095206579706012,1.2333115204427119,1.7402128497669271,1.2666304750567867,1.2935338422248348,1.261733281076614,1.268410165016529,1.286968574639219,1.257814582939709,1.4451993057923036,1.3538452116003419,1.1873079991949345,1.1897465066057042,1.1943744715255278,1.2763879881396303,1.1983929421064092,1.2681237296108943,1.2542071333157152,1.387414212210344,1.2905274266061648,1.2914916108303793,1.2149798620614876,1.2461293794148631,1.2004949733273291,1.2401501903748797,1.239939370008002,1.445928196171421,1.2980012289798228,1.3657124508818703,1.2698610947826818,1.2860052582647443,1.2751398455517284,1.1751323532761047,1.386452069369101,1.1561127053466398,1.0892625249885715,1.229977607607972,1.0273749336715563,0.9822891089288827,0.9443353095443552,0.8875901966826999,0.895727839942014,0.8432752608706006,0.924140356257634,0.8814532012999657,0.9682106039973744,0.9752298254212622,0.9423008461728009,0.8859626405570573,0.8592047317740432,0.8225481881252046,0.7907826164003621,0.7924139610740227,0.9062893348926766,0.919554620183922,0.9280824262518126,1.0444752802866888,0.9344126981680219,1.0145671978281559,0.9853638229737752,1.1767736864874658,0.9734134535196914,0.9748758111606107,1.3753362897553567,0.8900828964970378,1.3296653427557186,0.9177733677188512,0.8759932482463513,1.0664041230362864,1.0414373760978428,0.9386216008553807,0.9848696090284876,1.0173323740791267,0.9555736849798145,1.0175660937987334,1.0332156182433712,1.0275692110966046,1.099234179507211,1.1929345227214339,1.472659433587134,2.0668236193133906,1.494374870120715,1.3338941028012299,1.187421247006558,1.209389278980028,1.1948649771168862,1.1593828288363623,1.0480356551014542,1.0803693118928854,0.9974962130485366,1.0570420396890028,1.0378905148150777,1.0465270114699898,1.0044806216292537,1.0053088164518993,1.1688844522873292,1.1842958673981654,1.0299194757872872,1.0020801387888414,0.9878414737911982,1.0501234015679013,1.1068903076611696,1.2276462604494216,1.2135775851015171,1.408850118644596,1.256597303801379,1.2530381799487047,1.1926480877047392,1.111652286163609,1.1002354370749554,1.067793474056629,1.0379847083031013,1.1690851898720311,1.1932487808523755,1.3434773085729528,1.5501142714480396,1.1718563532353408,1.2175648727357407,1.7713919539453697,1.206176415979578,1.160882723149525,1.0103638148958438,0.9720994994535691,1.0392185233091455,0.9493652854899424,0.9231484160824327,1.0112710656711374,1.050089227784685,1.1288842777754502,1.018645214792037,0.9837075629884138,1.118360459149429,1.0916252698382374,0.9827613790019858,1.0543579948095838,1.2571051594390381,1.0777563413184812,1.0734652120319264,1.1980420537448497,1.2156531547057834,1.2573768203944231,1.1998376949480793,1.1482990467940608,1.3707199233466785,1.156625774101729,1.1013399890686124,1.2656049113644567,1.3573640019417428,2.6097139424390687,1.6035927922591011,1.920742140410668,1.3873286164775955,1.482036431911271,1.4888539806094305,1.463905555172427,1.3852806841256442,1.1768960423965111,1.2446233833385323,1.1744434553704552,1.1472484363282431,1.0530689636229038,1.328410528330323,0.967012792344741,1.002083477350848,1.118791063666137,0.9565831328367024,1.1097224514803836,1.175049021785087,1.3236762048539814,1.5737814771749161,1.8014794324378058,1.6927404250299543,1.4747109773155764,1.5874627156750871,1.7597323752727638,1.582557422016781,1.3945534890707678,1.612871028926086,1.621685190057185,1.3996686354867753,1.538701252325473,1.7260634865822864,1.5518631323427217,1.4739534516024906,1.5941488611705306,1.4300845925305972,1.475471727669399,1.410469760714433,1.4200181232235496,1.3678399350267434,1.2186472757358704,1.2611660559228601,1.204795563528426,1.1476547541231992,1.0552277499513583,1.1351582174615897,1.1267673992085645,0.9971090652444685,0.9613361793077069,1.0467750340500068,1.2192322000709148,1.0514201913191548,1.0441172500788583,1.0917008317320274,1.3345769136179915,1.2428529078277524,1.0870757740168377,1.033677600324914,0.9644792088406694,1.1705348125374437,1.0709564772672648,1.085857549788308,1.1571541987206118,0.9961648757218096,0.9016336450517888,0.8866461523245852,0.9053261409469191,0.9808889686960983,1.0348955988006088,1.1587052186201963,1.869870294525179,0.999677398970349,1.0989741430567501,1.2620751601753557,1.1983016012935217,1.0086057870690261,1.1842284352979657,1.4433934920906524,1.7291354619484367,2.3589400753428262,3.187186220995137],[0.6516495263786386,0.45869075654388175,0.5285420543453482,0.39856522517534676,0.4083753044053919,0.4115109297320996,0.32047453271109916,0.46639328761600296,0.37747670463753213,0.36440150829538803,0.4036533467815504,0.536621194670823,0.43999671567385706,0.41712903310237787,0.5934484565557839,0.5554993739247421,0.5569088113234628,0.6248109778388549,0.6952625307507722,0.6990046093484479,0.7080418880405497,0.6937230186992496,0.8378998247021613,0.9113323686311166,0.6693357718549099,0.6798479513095276,0.6250141597776429,0.5463444817405969,0.5961141450122295,0.5720134466741108,0.6900317262310085,0.6816240210351089,0.7970192420487495,0.7727038023662769,0.6752466780891015,0.6398631976771575,0.6303445079214113,0.6196430021670912,0.5654880187521324,0.5741749517151303,0.7310086108284582,0.7222809450330965,0.6627841654209015,0.7006677844085409,1.6228268766812768,2.2843733549135705,2.1064702417002046,0.7848692645079848,0.9909400244878773,1.3735634163830597,1.0054622243097877,1.9173054904117546,1.4089930571934333,0.9529634183689367,1.835881691910634,1.2493750236256729,1.791625135500693,0.9367343987991602,1.2836526863006346,0.9981527301202229,1.0294720080528097,0.8767869026665452,0.850029557546031,1.1940185467888853,0.8415116814847637,0.7404890540457648,0.968964917283953,0.8177399857108877,0.9252320926875104,0.7914850267908118,1.107836281307347,1.6222825121472622,1.0766194744468265,1.2503385319339253,0.8229066961732733,1.4196883948353778,0.8052323539064106,0.8241523741117411,0.7533350331057238,0.7648746252239569,0.7424909535181072,0.6999003040293096,1.1345267843135602,0.726641645052661,0.6448238461718453,0.6232489252304325,0.6374770135349604,0.7241699208390483,0.6700551624505948,0.758059325139276,0.7734947185421035,0.9260383880726477,0.8497901406119736,0.7958118673175604,0.7217978596089308,0.7856078148131653,0.7432906326732062,0.7215281805896725,0.7104432164337463,1.0050862862489598,0.7117797566793914,0.8353145290279856,0.6829472098090795,0.7708956474147963,0.7212040227738203,0.6638279862672909,0.866712463461179,0.5983439642524717,0.5913476235816171,0.7333955812040702,0.49932315324879745,0.4367690434990218,0.38043042158144263,0.4091456156753241,0.4371575330210715,0.4399881895536002,0.48488707138677334,0.470945623081274,0.6592985886576872,0.597222447754926,0.5501478136161856,0.4878793956651535,0.4695511000517411,0.3856654499186064,0.36320484635111644,0.36480062863427426,0.45017591585794725,0.42634268518207996,0.3833342673550663,0.5794727456920871,0.4946220838997714,0.5492928447885803,0.4976173969529332,0.7337532935197004,0.5366978513034653,0.5360382033727711,1.0911116266140743,0.517342643815377,1.1951338685850352,0.5164083197282091,0.4746475451468252,0.6791003510422312,0.6610687065730866,0.49120356198682413,0.4814620604798079,0.5057664473742884,0.45046423589032575,0.4643458032402691,0.49427049915775306,0.48675956461179415,0.5562431663352256,0.6558775545023835,1.0657549520423606,1.757429600467534,1.1597463954298093,0.842957911164153,0.6223614339197057,0.6733233692612159,0.6038313947088613,0.6118781041325293,0.5205565328477904,0.5049821879576992,0.4706534300371675,0.4707581460652954,0.5072232061160049,0.6044814268022124,0.5857535093235031,0.708309861304157,1.018779522981607,0.9923052766230687,0.7496940760017686,0.577553325962524,0.4946274691156706,0.502877214305817,0.5190407695697989,0.6280240735047767,0.6180237487544291,0.8400099981843275,0.6344616354505993,0.7090741399845026,0.714469408626345,0.551172899132402,0.5429680845218401,0.520942991342324,0.5090940156014636,0.6234115031742655,0.7180078318081269,0.8453021755378701,1.3056819412374936,0.7930088477858219,0.8529397633544245,1.6440772021850045,0.8725643880431794,0.8231339998329367,0.6264853633465353,0.5564454874851292,0.6636268266179495,0.4655759216158391,0.4607524869945701,0.5232991493482061,0.5590661287977601,0.6431000438373112,0.5162930310572958,0.5293875983385784,0.6823941343747867,0.6657872168441525,0.6200808288900483,0.6769154568167484,0.8663843230197104,0.7113685273638211,0.7488065315432841,0.861544125470412,0.8783833159452195,0.9627349233765354,0.9357438597662724,0.898308596599788,1.102447430479439,0.9330104595148202,0.7757761093590576,0.9246873080074145,0.9786752692781376,2.2549323629327085,1.2239548964741733,1.7113696334881394,0.9730651239629781,1.0502245656793383,1.0656707368525435,1.0392241168748928,0.9435531818419521,0.724105791987612,0.809469273042284,0.7369549546073416,0.7695611880270192,0.6240604864885637,0.9437846953203164,0.5542789256191127,0.6434230102130089,0.7478105881431991,0.4912814242896473,0.6502064445547842,0.7660547301663401,0.9209620785087467,1.1762114046893282,1.4348185052716416,1.303821796176984,1.0976485365868425,1.1712194210513933,1.3582298355594187,1.1923169897181556,0.9995189333833421,1.2559686919666366,1.2792991875054152,1.006260880420681,1.1748902996622697,1.402263410088262,1.2479471208977992,1.1250401178406366,1.2536709529988752,1.048129460214594,1.1029830684477024,1.0170481005886156,1.022934317372084,0.9850245738582561,0.8273517367182527,0.8459013835216344,0.7862286972847841,0.7367267750664922,0.6431743308366051,0.7146783464390124,0.7721012839016426,0.6615303330199347,0.5916208318722967,0.6936233065998024,1.0334495182683532,0.7931055706077696,0.8122101687283098,0.9284900280381227,1.221881792801324,1.1364776734170572,0.9543198863550425,0.7725586042612894,0.7134963667499488,1.0431374055886988,0.9421333204250794,0.9880779703209884,0.9697707129661559,0.7290675518427874,0.5425595790555912,0.4553001504017779,0.49155161018687255,0.5273509642309034,0.5208944940147285,0.685613336009418,1.6249372740961614,0.5032172408991787,0.6404156132293666,0.7274420895926771,0.8010972538294617,0.638163347959044,0.7724220543298898,1.0301376190862053,1.4449938734237862,2.1751783150297377,2.9468044826031825],[0.6325645099744146,0.4249522778197501,0.4743081517798112,0.37757405344958506,0.3951507393838783,0.4040050288321361,0.3275870021299313,0.4414655562168165,0.37254620210511474,0.353116722561333,0.3734640282195767,0.5274160631836688,0.4175494009799739,0.42220735355059436,0.6139244306458517,0.5791862556287909,0.5716848123763165,0.6830495240434772,0.7535393615508869,0.7615980168832842,0.7830363609198593,0.758700580887846,0.9213885263734756,1.0644913565434557,0.7375018773349742,0.7611569602369064,0.7046332628213434,0.6015829308162042,0.6453609788018722,0.6030079328578607,0.7207455612443626,0.6838904542201159,0.8412421359899612,0.8059309107777834,0.7077809502374758,0.6774435527835189,0.6464328575298872,0.6677230519401893,0.624379529311173,0.6159516537496087,0.8131385036670115,0.7761865525277217,0.7151733394671157,0.8171045539453864,1.7972851029814074,2.416109752650554,2.2686775997469284,0.9155854601846508,1.0251071290840772,1.4319998587443954,0.9491123237008724,1.7239409110635942,1.2862005900050666,0.951192347440569,1.7719901331358099,1.2310540013389966,1.7076428427481323,0.9783848854592756,1.272221076014672,1.0458795510107701,1.0711160403735054,0.8871171290175672,0.8534468778316628,1.2392812343957125,0.8952467495211822,0.76084223158009,0.9788109667166647,0.8494143313015908,0.9625854247549602,0.8109406499480605,1.1155570099789702,1.6203370746661592,1.072914750744345,1.3331829714323369,0.8489916969921564,1.4771352384049052,0.8420693704601053,0.8607339611620761,0.7836369270396732,0.7814371466202397,0.7731078551822849,0.7193490528355372,1.1608132253865193,0.7375752285831565,0.6992968865922722,0.6416930505936206,0.6714476558865424,0.7575178996392741,0.7143687585691163,0.8015123318210812,0.8143238465357708,0.9658424616132296,0.8751803641633843,0.8240735282736427,0.7423708935653707,0.7949580800251737,0.7300405641133583,0.7193504828880353,0.6988732376969712,1.0032252833269493,0.7011887076258363,0.8058875539735649,0.6631287726765864,0.7490259939176422,0.7102733842197383,0.638325418416561,0.8417249649435273,0.602110097975752,0.5907393025710506,0.7078418580568715,0.48411875027725265,0.41855416980179094,0.3825180941152269,0.42213326030987003,0.45575939049628866,0.4550714462589605,0.5134905574918319,0.50321073127702,0.6771280375878039,0.6154852230698088,0.5691972240808378,0.5235374722195659,0.5144225566359159,0.40123641787232234,0.3702512680392754,0.3628590982330672,0.4493621485625522,0.39112051508769213,0.3598524945904703,0.5362677400033438,0.4565264371887573,0.512119650853232,0.4619510346553073,0.7121878098335506,0.49302405351717415,0.5114156950432737,1.0486561879692295,0.5013113974352009,1.183432619810247,0.5064596993006522,0.5039025929848039,0.7508218547135403,0.7251427027753014,0.5374117897872377,0.5293820083706707,0.5467510343957058,0.4612280412448399,0.472951006767427,0.5005888693565582,0.49148073172090845,0.556549849842867,0.6668650572131535,1.0443188876313498,1.7995083892630332,1.192126372495258,0.8300300296973966,0.6053963766329232,0.65850934629895,0.6048091412953445,0.5966660854523402,0.5178648463561689,0.5222460783008356,0.48533075367378853,0.5171072240368166,0.526551045063193,0.5941032301472489,0.5439078245253837,0.6307561964206138,0.9149644788937783,0.9062330920256254,0.6599878087418148,0.5340191426473968,0.4706168518855971,0.4739013075605484,0.5075409427811488,0.6308563906189064,0.6302893698709661,0.8259232240039991,0.6402019162189758,0.7115953094942659,0.6887643477310813,0.529053824906591,0.5124746065176342,0.48590266550713274,0.49050157375759723,0.6381563844494996,0.7191027669095893,0.8827086572104682,1.2997861868036937,0.7868086386806846,0.8895493512626084,1.6762803375454578,0.8673678408990209,0.844592186524235,0.6024853035221163,0.5332246744769665,0.6304545422554727,0.4317501041656647,0.41701388339671835,0.49720984738660706,0.5015903996304348,0.5981691169664657,0.4788393570841889,0.47304500287390633,0.6204173078176001,0.6175747362270575,0.5632204397044274,0.6174087143369803,0.8193630731544952,0.6653599671080636,0.6892232218871862,0.8102924199602818,0.8414872366402216,0.8966156980878096,0.8760835121886147,0.846336174001065,1.058454917521519,0.879201886195067,0.7174329549476357,0.860613162823267,0.9045377706748692,2.1667051158296418,1.1589064019233146,1.6766022817662758,0.9047969566318694,0.9892040777675825,1.002882289579846,0.9727034716117339,0.878111660546411,0.653471023374394,0.7246279953549825,0.6503060147089671,0.6973994513859956,0.536588517294056,0.9053909010317762,0.5397300831718905,0.6064123240448056,0.7726528819475488,0.4528803648353741,0.588669278799501,0.7041166442258547,0.8522188036775356,1.135909332911384,1.3878201035016908,1.2766582433482736,1.053708397324212,1.1204162015725103,1.3233101569430992,1.161504287768709,0.9520285510430622,1.2151734857355405,1.247156430115663,0.9695802212943778,1.1335270574735,1.368221280450017,1.21982058469294,1.0876081468944518,1.2080810503144372,0.9965691720879989,1.0458129043973499,0.9586607900040907,0.9557311251634412,0.9203330716331809,0.7605363544618796,0.7740825664182335,0.7149385420412263,0.6733730824538762,0.5803047338840079,0.6404441813790559,0.7178037436089466,0.6217855231102664,0.5611405217099503,0.6401406471387078,1.01615126439987,0.7776446927778194,0.8002699056743371,0.9210826016198735,1.2200502489139156,1.1088111730531784,0.9256370734619043,0.7270785749357437,0.6548491690172523,1.0045185977888467,0.9167552984962615,0.9839764700303736,0.9809781060812683,0.701878229704118,0.5055207866864244,0.3972173491818802,0.47313095388669985,0.48577052963183043,0.5069230855700674,0.6660108218884643,1.6612033674572515,0.4883956822817413,0.6157417468389451,0.7295401664862797,0.7896788975012218,0.6075185605880041,0.7387981967222482,1.0392004820132132,1.4353970449509275,2.1835870502366976,2.970574315247021],[0.6363882198060675,0.45343302673243224,0.48696626069250337,0.395553844783975,0.3741417760751989,0.3885581414979965,0.3086002769826826,0.41219172488993266,0.3429983132117244,0.322191415577263,0.3338646686815515,0.4688188864977059,0.36218657129356124,0.35355588432674034,0.5326402728781293,0.49039538921050035,0.49412696967488196,0.5929545565120709,0.6736917526131116,0.6696011627280694,0.6893778364612111,0.6739369681604493,0.8523600723505109,0.9867908546242241,0.6542136635925018,0.6769221554593708,0.6068438795314882,0.5109616044526815,0.5456168888471791,0.5153623684326307,0.6327474377693029,0.6026818386155349,0.7368142901143556,0.7157825100121891,0.6050033671595775,0.5823860622149827,0.5535331029565209,0.5649997816152363,0.5167270680170103,0.507630430583306,0.7325315934223747,0.6856207198008837,0.6155215115606183,0.773761876179546,1.8628525010765722,2.5092816334988055,2.422767680060844,0.9413087496968661,1.0310725313317022,1.525620958499589,0.9122414506044729,1.7062808479442884,1.2210332070894703,0.8996225683007442,1.7840036329796176,1.1406800624283169,1.607548389521569,0.9355695860513709,1.237413780537265,0.9604539957614681,1.0196879561672838,0.8103887442107278,0.7708385271273078,1.1465009724316273,0.8045749119215502,0.6799538662373381,0.933517125441237,0.7699671524994682,0.8954716255122362,0.7464813633804632,1.0504637962097887,1.5184321437871608,0.9999381381731083,1.251810589249376,0.7651079702186713,1.4335356627298435,0.743680200487034,0.7636664539246074,0.6806224005954273,0.6794888981042255,0.6701425799277565,0.6234493622167007,1.1057912656014495,0.6425247037838981,0.6081598865662367,0.5553881698908169,0.5719935554558314,0.6706397032425555,0.6138451072533468,0.6972261652350121,0.7220632104369095,0.8907599722561618,0.7920928550259385,0.7400123508178608,0.6587187400853287,0.7195152185257275,0.672971126657958,0.647907119917509,0.6336873559959896,0.9575372632026202,0.6253193241514972,0.755855796575501,0.5950361525741866,0.6957971811489562,0.6441118863119081,0.6006667816907573,0.7933980733223408,0.5478737615144988,0.5588589751714659,0.6725891722331988,0.45909746976445176,0.3699501918520212,0.3255066838543065,0.36839562559173705,0.3936400716695869,0.39485307270498726,0.43866101371319594,0.44642672846155523,0.6376450666915595,0.5525895164106371,0.5115748845407699,0.45088195313253127,0.45229776655233744,0.35642981815969715,0.33042403963487527,0.3300140527128553,0.40872243334154734,0.37754215107877237,0.34627973860017436,0.5049089040243656,0.4442647608179181,0.49362158777624415,0.43597597323876697,0.6666690118605116,0.47603953136388727,0.5014784737456885,1.0135392191236314,0.48366815955013515,1.177852204674705,0.4958771078745295,0.47425543700726486,0.7070204925026946,0.6660305908328849,0.4709020883348165,0.4483072469462225,0.455334695988484,0.3800388149239748,0.40751190734857984,0.42498887005484953,0.43652945511912283,0.5165529245100139,0.6266275753640675,1.0183554732616693,1.7633855894826345,1.186729636482222,0.7931961255055897,0.5546774553246179,0.613554673758541,0.5336863463478141,0.5487287157289856,0.45373239718631647,0.4315417208204247,0.4177499029874208,0.4042279353393958,0.44056068260924014,0.5777707829422059,0.5478301964959024,0.6956079303339194,1.0016492232243803,0.9531509811121355,0.6970255341383929,0.5168151983247143,0.43000237343351955,0.4161780326666442,0.43363060957972965,0.5452185404032216,0.5512373903117502,0.7698153707550109,0.5594519068524114,0.6281621483921311,0.6745826675074993,0.46734664623514466,0.45046429517300157,0.4285467483307031,0.44378746007986936,0.5811382611340169,0.6881510255211352,0.8138711651275052,1.339881863820377,0.8063733300144335,0.9244771332695376,1.7028325205546317,0.8948155932157948,0.8563884729456948,0.5880003396376833,0.5154547130216506,0.6226518363576988,0.4198130789148181,0.4126073176850571,0.4852377306113974,0.4795046612861193,0.5547985893394574,0.45334613522640543,0.46168283422329204,0.5959451750881739,0.5942657371935784,0.5570304514042524,0.6164574273494516,0.8029358569787886,0.6540147308537482,0.6807669241134826,0.8049048016847742,0.835790837544274,0.8646033829965915,0.8669108743287579,0.8493154325927939,1.0665411832603247,0.8908487345433571,0.7242132175286807,0.8646064982945663,0.8987366661518574,2.085947145085843,1.1536857166483283,1.6669242564249656,0.8732330137627441,0.9334561459212064,0.9571761731550669,0.9179313432311579,0.84037009792508,0.6321219813607297,0.6975349677531127,0.6295294117283053,0.7131932749408582,0.5432054098532102,0.8844511185109861,0.5614853210659426,0.6164964264412441,0.7388502385417876,0.44812193766305053,0.5649043746638638,0.6708418659361509,0.820554367923503,1.0771819893462578,1.327937811226869,1.2092702368171413,1.0127955445042611,1.0819780628338835,1.2836897070601265,1.114048531958097,0.9221947368867821,1.187628679585592,1.2305712877343824,0.9450554323875349,1.1117321744605357,1.3557773270006837,1.2258191622773187,1.0807866267635344,1.198795733459182,0.9864388286160513,1.027720710000721,0.9268914263668825,0.926066219157092,0.9003729454796846,0.7466981727965848,0.7390211172027376,0.7042657680154683,0.6740604548581945,0.588677013779639,0.64443912405929,0.7535565492020208,0.6539332217056159,0.5880144694906315,0.6818558428420006,1.0616622071204656,0.8301481009037812,0.8519914183416375,0.9752421014031734,1.2547936579098204,1.1626940575944489,0.9681830852394647,0.7458088102019121,0.6706394213239478,1.0491551170192364,0.9691379171374345,1.0492762381291665,1.0262985965093399,0.7224399176726192,0.5117954818458891,0.3931878800713793,0.42962124354819875,0.4651362684476587,0.48939530288044536,0.6405203272932415,1.655065824072873,0.4801502741544201,0.5756910168627349,0.687948258030689,0.8160080271690106,0.577891326022831,0.7016051996305036,0.9775180760367447,1.4054797159940018,2.272480194301451,2.9991025456917595],[0.6841537808511696,0.5365746287964499,0.5431671805420645,0.4331786159251525,0.45979268791477135,0.427328614973687,0.36437363471751,0.4705898573846765,0.4267929474737799,0.3987363520138042,0.41133434117298073,0.49188063133865034,0.4164714782535279,0.41447684660235296,0.5704167259500649,0.5297172422117971,0.5310750936763223,0.6219102273843221,0.7124474328556313,0.7011287771207815,0.7120376484876677,0.7020191921505661,0.8444614298969447,0.9900432722906841,0.683843867668777,0.7056429318760274,0.6407892387167422,0.5572044917686462,0.5746428322093856,0.5429783196184519,0.6498347703172405,0.6170841999805597,0.7439451956260328,0.7182766058813714,0.6138325615906484,0.6028563735914346,0.5575989726442163,0.5754990886372816,0.5476586474739139,0.532079383472291,0.7756032242083261,0.6980260591471067,0.6236579730927244,0.8322159078448007,1.943947127744363,2.6091997589892575,2.5820877458874705,1.0486248043733455,1.0954302537308565,1.6390799229383601,0.9491725665715309,1.709327173075033,1.2019510699212823,0.9271079924305388,1.8937937193909555,1.0725104550733626,1.5205785139878796,0.9671568729902095,1.256198686149031,0.990049275892616,1.0596558924500308,0.8357569276194284,0.7841328631178494,1.1245149261136547,0.8143120775797906,0.6915689580538019,0.9185599030306241,0.793976165274328,0.9285456303400668,0.7852064958290291,1.0741405645189028,1.5113877394837147,1.031501040014101,1.2739370270323656,0.7823726300704936,1.4169214732922872,0.7458496283195133,0.7615327337181509,0.6845289944392918,0.6906295766631635,0.6613192046002578,0.5936478457896482,1.1299198194992537,0.6499466996175329,0.6072702981283987,0.5594812347930577,0.5697109610062706,0.6683319073916276,0.6296983989682898,0.695295766032811,0.7349509231077533,0.8983616914395028,0.7997144400733545,0.7481758176269846,0.6835357693714101,0.7400047281214827,0.7021450857522602,0.6629481684799716,0.6404881828956461,0.9180188885131806,0.6317981398660562,0.763481245243405,0.5994809114529767,0.7141693303317307,0.6650020590709312,0.6327645329820445,0.8500499892128214,0.6226900317295616,0.6402701217849658,0.7279882906019752,0.5460987204395327,0.43140173569355267,0.4040412609048863,0.4236977698250933,0.45209336310586984,0.44344792299234803,0.5137490837057189,0.5219936849238416,0.6613309179128207,0.5904451087946371,0.5498111739871193,0.5057979100827869,0.4936991578563613,0.4093282279360181,0.4078474059927528,0.3830845077512482,0.4308959742303002,0.426663891176459,0.4228427887418858,0.5346006588634344,0.4831232538196304,0.5320236816197071,0.48040299329832636,0.6636550424329377,0.5062733063665368,0.5398639278820314,1.0709687434746633,0.49930317628436155,1.119640030610092,0.5377540226486746,0.5339091110884637,0.7508192277639212,0.7319682284966165,0.5311404283011102,0.5060198206190658,0.5198266615886192,0.45705439723226954,0.48615776537284505,0.4498769356818257,0.49315453032712503,0.550972835661855,0.6372411743147274,1.0021362450809217,1.704649096928896,1.138911276032401,0.7810565071278438,0.5861559181760974,0.6274553349320359,0.5429329721877713,0.5668286796166971,0.47532869162516656,0.47397116325119737,0.46756115344087296,0.44198731236432126,0.45052281342609707,0.6030789496675274,0.5585231465657884,0.7371746748511318,1.0281953229383534,0.9503172755472508,0.6887785522685637,0.5304683148316577,0.4471711427246385,0.4552849636174207,0.4741778821166225,0.5538472243323721,0.5537399404250839,0.766984491654874,0.5622161983583925,0.6201000698389959,0.7262896449353091,0.493241060774424,0.48090569590849613,0.4674825782858618,0.475102077976373,0.581615127534662,0.6914812906329326,0.8031357642072209,1.380579174117431,0.862431523631881,0.932610372965192,1.6500224245132977,0.8839857328800078,0.8683056491142671,0.5992717451357594,0.5478019213186087,0.6631024893066396,0.45671956903099975,0.480020850859502,0.5293014043148833,0.5466373321458169,0.5931720915160549,0.5091959995381999,0.5242571722080096,0.6608076561963084,0.6537976897206154,0.6136118658450298,0.6819403946124315,0.8701783978983054,0.7111667076350033,0.7487255096269618,0.8707928361155147,0.8915490206648943,0.9138049024974478,0.9310157981642182,0.9283280013078692,1.1242129412680801,0.9855024905985164,0.8066596445987788,0.9666622432394222,1.0077930482289903,2.0588790017970404,1.2631267816792648,1.7094843721242163,0.9514896021014123,1.0039311121006858,1.0131543955378481,0.9375540982216471,0.9101821655200313,0.6953069918006303,0.7441704572344455,0.6850454426394409,0.7854645758535743,0.6196179604331592,0.8970433832828808,0.6751225352973114,0.7126047092361538,0.8209245989463584,0.548334544349943,0.5889694988047242,0.6682172189609755,0.8405680283375313,1.0767067328468627,1.337479907947694,1.213946596453496,1.0328680635304925,1.1178800979077468,1.319038299336865,1.125176556021864,0.9783440256923162,1.2521972275067126,1.296718035114346,1.0063614828503278,1.1783464592085968,1.4284410180849605,1.3078792490074915,1.152105747278782,1.2843847912368413,1.0688058682379225,1.1054585621919297,0.9944295272199474,0.9938526714570879,0.9890965211352012,0.82083359755551,0.8142861139408528,0.801130764062465,0.7680132234356839,0.6649528176211797,0.717449131303447,0.8100427000549316,0.7148056150954444,0.6891738678192941,0.7692740370452691,1.1676644675993917,0.8823817812319572,0.903645760898777,1.0379933568751274,1.2506403928647405,1.2247751016442812,1.0150748061090342,0.8201496514679757,0.7272517379589061,1.0863003038010166,1.0122972861302497,1.093837578904731,1.0506486593912292,0.7760734681421864,0.5684903772170127,0.4493396188199566,0.4966794351354728,0.510307996184079,0.5508555348245423,0.6875932223464583,1.6773525020992894,0.5473470282436607,0.6329750711059673,0.7314169432365768,0.8766389948038803,0.5991638407314884,0.7580030364354567,0.9721978169507298,1.436302709942236,2.3276997553788514,3.033466463676897],[0.5695237318306058,0.4222466226958889,0.44978915792022545,0.3782440838388704,0.4171890464399767,0.34914754154527167,0.2944221258588841,0.4039594285093325,0.3558712088012121,0.340601866447532,0.35511661379543014,0.46725053495382163,0.37946330359079705,0.38603388099534774,0.5481173576363637,0.5136903569469968,0.5141572129776164,0.61333439907748,0.6987207378657345,0.6804721087386144,0.7080977167433818,0.7315546887265993,0.8717989851722971,1.0573261684276476,0.6898692518198369,0.7088575008578829,0.6335538963773579,0.5476558887988332,0.5616957792573432,0.5324296302253031,0.6313856091865552,0.58229002929344,0.7123079612056923,0.6908825358658849,0.584663223143907,0.5822191745184908,0.525416455667851,0.5659122325272523,0.5354622181849047,0.4936998376091376,0.7911328219707114,0.6875844786389179,0.6384870964992373,0.926996993590959,2.0903641199400758,2.7502331128146884,2.8040390878509447,1.2319008439734547,1.1886881859743197,1.8040483178825462,1.0327766082944687,1.6049661658296863,1.1571523842045952,1.0509048752826482,1.8924835817666374,1.0479688484835865,1.4376001767343354,1.0352272330511738,1.2508358090482146,1.008251091133696,1.0676846272598053,0.802355917265684,0.74407197557777,1.040264235477796,0.7752525913996615,0.6808182180172684,0.9098482003114263,0.7445241087050827,0.8999158606258875,0.7598985448248741,1.0117068096241197,1.3995185745621648,0.9563606701090476,1.2124769916255558,0.7470383563849776,1.362925798636427,0.7131908807655089,0.717321911808041,0.6502361751893573,0.64029865647301,0.6318320127360452,0.5652699261224444,1.0686056158860426,0.5814465578438477,0.6208990365424535,0.5354607854592522,0.554451551941836,0.6571064162722023,0.6005875735732006,0.6867341481778452,0.6983316601600021,0.8581480355441721,0.7731357196095052,0.7242741624397078,0.6572899812044859,0.7160745349664692,0.6598185445853881,0.6390579304630499,0.6072467714853343,0.8971933215299385,0.5825713562090813,0.7003368777000666,0.5441194244162205,0.6390186171625911,0.5895111482055566,0.5490714633453492,0.7337649599246093,0.5458487372058795,0.5654349143435365,0.6161552974614826,0.4418213245614909,0.34094077950218343,0.33262309324842365,0.3992481381017167,0.42159637220120827,0.42736940622574726,0.5060720197108453,0.5093687342819802,0.6557956160734577,0.5874052954191389,0.5434588112395646,0.4986256938527643,0.4731541357717033,0.40049526016068976,0.3906851566378911,0.37447314624042344,0.3718485659409953,0.3713016989339506,0.33479977405027916,0.44798561104928625,0.43161682255231687,0.46488704107940837,0.40103358538430445,0.569239251477269,0.42275954113374486,0.48273316682379624,0.9882313788358593,0.46266885715191436,1.1151148675087195,0.5340796091283311,0.515726663753377,0.7315254516139158,0.7191678541835288,0.5220670911943506,0.49687481664467215,0.5024169524578193,0.4242108014444683,0.4279865485390569,0.40898265401812356,0.4575090754638698,0.4950240674995412,0.5709002720282215,0.9236811760127813,1.708591357729971,1.1719491716646253,0.7183480697190252,0.5256909255794945,0.5721277101135291,0.5038680040653167,0.528348595872641,0.4280600869436302,0.426702116765062,0.43285624756251745,0.42176830403879934,0.42508760276822816,0.5870751541568864,0.5373284362330076,0.7417481195380572,1.0281910662427987,0.9318152664371052,0.6433844487530865,0.47363091178026223,0.3942911032073587,0.40988893809828136,0.4233390794008533,0.495655024102347,0.5280472510002816,0.7456745505477089,0.527444809770536,0.5632261617034193,0.7136547046730312,0.4116595282244618,0.41243625758745595,0.4168822443611182,0.4499686448710167,0.5712597544568777,0.6750606647420749,0.7841463017785212,1.4032203634696105,0.8537837799657251,0.9997388620856114,1.718950530324457,0.9289902296611829,0.9138308387412594,0.5957678474104682,0.534254509372689,0.6340563658009934,0.4322582060358798,0.41862073632247065,0.4621377803586703,0.4139848750619862,0.46923566125515354,0.39238246650366543,0.4152657599518571,0.5267520256281877,0.5353296097391993,0.5395270919655683,0.5730939228753229,0.7614742625711559,0.6275523907523718,0.6568311764962951,0.7879714981527614,0.8292435392185076,0.8154229641436331,0.8633814164932979,0.8531886477201116,1.0996380556784042,0.9336935900363484,0.7303736999813892,0.8529929058815603,0.8710007759183865,1.8696523866135042,1.1511493662780108,1.6587189564726863,0.8182831123308285,0.8285681443219133,0.8736478312012871,0.7911197497018188,0.7593076581091683,0.561191396904063,0.6120166718810033,0.5824605148669081,0.7157853568214629,0.5280079401738738,0.8127357228185336,0.6743662864954812,0.6619067007534173,0.833712424088999,0.48251419630066167,0.46189792422594395,0.557390563030334,0.7273537556707168,0.9584167926321249,1.224175108886948,1.0918081117426806,0.9234225823998655,0.9761220079818309,1.1747169975761755,1.0291882081294672,0.8502049494087441,1.1438541909491835,1.2146687120919246,0.9118034530637151,1.0774886657716327,1.3457363674026634,1.2584167133853408,1.0628592181880405,1.180383130688655,0.9549427284474762,0.9714694569119494,0.851474933995504,0.8383503015200551,0.8485737625465773,0.691468530791054,0.6739047050151782,0.6624645103965509,0.6479942336428296,0.5559573017630991,0.604438734461891,0.7588916789213945,0.6630959130403776,0.6165840662137894,0.6918724582851905,1.0897472723687731,0.8553808700812532,0.8636191220354945,1.0068696128935253,1.2360392295936387,1.193188846705597,0.963179038388616,0.7511319487955684,0.637660595903674,0.9970551916669578,0.9579368035917801,1.0604543743800063,1.036883679524079,0.7617339365812457,0.489086782144052,0.3808748607858412,0.42705716171105196,0.4016305590383535,0.4342992266019859,0.5636830109198072,1.6223656917918763,0.4491788022034612,0.5069884988492876,0.6029891690132766,0.8251587005781035,0.4613348076667826,0.5727915268133607,0.8419072527607077,1.3302704676275892,2.2956788414624323,2.972234759657564],[0.664342308525586,0.5377535787201065,0.570410171093526,0.5113157857684688,0.5185144752949489,0.48238302993229487,0.4441010279830602,0.5143510514794943,0.48235719306721747,0.4519600912666978,0.439938266526668,0.5173425024306935,0.47307949236205077,0.48012665348146566,0.5972965433664188,0.5566561481363065,0.5593050047865578,0.6207028910546968,0.6899618840537445,0.6657973037388268,0.7099836378533662,0.787532633967702,0.8743650396947084,1.0386750855887315,0.7029515121957971,0.7149634258049271,0.6075768406134431,0.5575709915951532,0.5759074964261155,0.564862109305337,0.6544222871098759,0.6341978161792345,0.7087266506162783,0.7101202002642217,0.6167203656073398,0.6019889469421816,0.5670428666787315,0.5692244318136658,0.5352991181339429,0.5141552633000852,0.7963601508958383,0.6718592413073227,0.643310477920565,0.9308825329618854,2.0697062983332386,2.735685784946946,2.846796941204578,1.2548539605992104,1.189559912155684,1.835485298732886,1.0533304323746226,1.652259574749364,1.1305744899399353,1.0577249961136597,2.005867529312777,1.0712198991928554,1.4223339102659742,1.0677714156531057,1.286004326679812,1.0162006466380435,1.0561854210799766,0.8140233261169754,0.7595960698208556,0.9674916241389467,0.7239768718876464,0.690097869225075,0.9113420105842124,0.7175745701792388,0.8830434778029165,0.7597515126698003,0.9941381887002779,1.3242292198534886,0.9399229640072955,1.1734652730372694,0.7368453798484806,1.3201692390665731,0.7041207433069259,0.7183704864299322,0.670782550829593,0.6526781927717513,0.6290506662661673,0.5828973178644848,1.03667848947654,0.5659274097176327,0.6484463861368952,0.5440073844978208,0.5847227135958573,0.6809128852318749,0.6141701849652361,0.7101118848161762,0.6970492868606363,0.8722631960033372,0.7953922315676294,0.7388617916016905,0.6850669827855136,0.746620492623362,0.7139847180665873,0.657969054038117,0.6310899736896954,0.9247381727999828,0.6139102548688874,0.7806632486763726,0.6056103121103787,0.6693869005563704,0.613424045582778,0.5815294623863133,0.7637654380447394,0.6039794951151521,0.6240888237117036,0.6777208956268411,0.5350712469597128,0.4698534523226811,0.45113932960295117,0.4798535963408447,0.4630051280828555,0.46706618386363685,0.5364615135350844,0.5359593994672834,0.6740348112285628,0.6242356140118774,0.5938237790751348,0.5513643174265791,0.5325984878313393,0.47052629221337344,0.45895608803720533,0.476982979639581,0.5029532643769148,0.4997932505494187,0.5117826346405757,0.5780389501474424,0.5878828466390111,0.606931975290867,0.5495522792399312,0.6777823051948637,0.5721095734690695,0.6147313282343119,0.9970608382754926,0.5775048113641845,1.1885709172116403,0.587569455280443,0.5507332835499662,0.7452122702037928,0.6878002607776869,0.5242094279299263,0.511840432996841,0.5254271117745728,0.47024640592438105,0.48597120139212463,0.4850518849576023,0.5322608424510156,0.5884579580582721,0.6571217189824449,0.9855672447664092,1.6794669724659121,1.2042997227949606,0.7750487324245926,0.5787983467383516,0.6250800742774716,0.5391528736969504,0.5921794080372494,0.5043671660467108,0.4939931228189901,0.49338055044273826,0.48258284678349495,0.5175711807241795,0.6467362980557885,0.6744193507549414,0.9255403168721369,1.2052543268664433,1.0589810143767833,0.7913413023693402,0.571022403911659,0.5286896769209775,0.4910253474798323,0.502473552157019,0.5325741225879939,0.5754621645038063,0.7744728574279369,0.5668035539336075,0.5744104293195349,0.7463177863671175,0.4967183058425928,0.49548197315728987,0.521602480361453,0.5244235992740441,0.5982558003743499,0.7334890134985457,0.8224298930687484,1.4927907117773405,0.9511640325781126,1.1349022088660083,1.769972260241811,1.0289354429052904,1.0233870456145933,0.7223260534377193,0.6568876704951223,0.7512281193662825,0.5957054760385208,0.5874896241271002,0.6100519129016243,0.5635860114182835,0.5692658384017099,0.5469885873019563,0.5705789569068552,0.6400988253152561,0.6446783337958012,0.6932518334742566,0.7005407656228192,0.843622985040149,0.7316992889164919,0.7725798090666764,0.8815256045213318,0.9141208387140861,0.8856014489810072,0.9601338241550725,0.9593775509011738,1.189520959132156,1.0609943286022943,0.8567187787370786,0.9448428232301779,0.9523863282561407,1.7842398278754044,1.2266230222864583,1.6985378526121504,0.8723916052412649,0.8785332620604025,0.9156825890140824,0.8222289739192538,0.8180206840288614,0.6449207456301339,0.6879826641985232,0.6865701269760645,0.8196935315142395,0.6613604580670658,0.8664673480145977,0.8383819956581487,0.7918750389149667,0.9204240326731867,0.6570975288281063,0.5727378743761303,0.6248437145169088,0.7756013362857475,0.955504826682284,1.237304107793937,1.066518156491253,0.9366394940605374,0.9920722879031443,1.17485989011826,1.0255298276532299,0.895486237547787,1.1789725209598727,1.2528832707191797,0.9656130905485523,1.1286607732708096,1.4019205406256323,1.347247915239231,1.1258230906035618,1.2382297583737198,1.0263092866917685,1.0376412913872217,0.9051778220862632,0.8950505581104887,0.9220327607620294,0.7845015507461042,0.7464277879968689,0.7634696746851115,0.7560992218668613,0.6861692508373659,0.7263316993010701,0.90260432624249,0.797005639184967,0.7758040639283966,0.8355399243468612,1.1781670224614735,0.9917575256643738,0.9979771923120393,1.164918486395043,1.3548223427073773,1.3353405230287867,1.1108378407441888,0.8798198573647058,0.7925530516487479,1.138592161554793,1.130880985936396,1.2429483599687645,1.1719353220518787,0.9228992455387507,0.6382146109133046,0.5604948094016667,0.5380246285958193,0.5474095769397357,0.5733042698723667,0.6406286560138916,1.6562574862831339,0.5893504328539435,0.6037373298864974,0.6677231952077871,0.9186068079741793,0.5558400540042241,0.6660407824743345,0.8595303021999638,1.3371968696866958,2.2850469465276593,2.977473193613532],[0.6253029047838196,0.5309035151124424,0.5835653484005818,0.5825457202322097,0.6778392922429538,0.6431599733557601,0.7157047848320499,0.8093401167230901,0.8631686575991913,0.9042738420371407,0.9876201788330894,1.023903618695038,0.9660623365660278,0.9802922007094396,1.0974727040845342,1.0605672768939103,1.0299238571782636,1.0417648150717036,1.0693703529785104,1.0244201703792528,1.0341851478112927,1.0841887487770894,1.1422783988533218,1.276840865456083,1.0101719623046088,1.013271723806561,0.9423230206681279,0.9451018875064806,1.0132376947143429,1.0251650280413314,1.1109864965002838,1.093895214642939,1.2061852174350873,1.21809549148897,1.0942042165520318,1.0518713962860555,1.0339866211786306,0.993333644948218,0.9657724460855116,0.9541209863014523,1.0264379276298325,1.0497323693298068,1.034362582018038,1.3523442940284616,2.435578412160515,3.0883917824065916,3.2541510311439676,1.7134247246878547,1.5755822861538278,2.2479341573222533,1.5028750252609229,1.857735658508044,1.5215682468140677,1.5883751639272252,2.2829923255321836,1.3115329624948737,1.4859433466488021,1.5299626559842863,1.61844695218694,1.344239767321211,1.3798435097171726,1.137662396785677,1.1309454522782927,1.2271556693076695,1.0999455433903416,1.056240583562569,1.1822247514173232,1.1017305012975962,1.2012428694363217,1.1253988378648379,1.273905271653871,1.5239818111512435,1.2678454907187189,1.4997361378957526,1.1270492283141582,1.612442476843845,1.1133198496841576,1.1608934799509283,1.1095939923739042,1.0393525743333802,1.0640873809533933,1.0122690249734096,1.2916237945322258,0.9618748171244109,0.950356537263184,0.9807752761662116,0.9998854830838305,1.0881107799386507,1.0440847751941211,1.177057927616965,1.1642366232344792,1.2658236154883977,1.219413321902296,1.2268410647370396,1.1805890232018423,1.240505124264353,1.1847265262996525,1.1705396837443725,1.121758884154376,1.2861814253652477,1.0704117153835606,1.097936849300999,1.0076974484835475,0.9884193694523121,0.9282780936429338,0.8989929891623585,0.9743650415269071,0.8654302655054116,0.8365091088868348,0.9565475117515067,0.8082511220316788,0.7739502597701806,0.780048021643734,0.7702725793631716,0.8683630876345066,0.8216786705649038,0.9042259755075637,0.8798999260663501,1.086258365775585,1.0389285443994618,1.0046939641529933,0.9508216807787361,0.8512841096192837,0.7858117795576209,0.7725277687250404,0.7198041587814248,0.7043405670281156,0.7128806317304239,0.6928989793995297,0.7968399356631287,0.7007476433196447,0.739661178313602,0.7458789510582627,0.8299833569035477,0.7724275830637414,0.8293570527245023,1.07796298612667,0.6991344720405666,1.1736677801279929,0.9237040478023693,0.8158692512658517,0.9678176249374504,0.9763171527242512,0.8609536765973511,0.8838813441071218,0.9265052234121746,0.8677519906618768,0.8884862552117344,0.8552767359916067,0.9016241736526096,0.8913755696961908,1.0306348451314022,1.2483520337472795,1.8530692130926638,1.5422703934229691,1.1419523208488849,1.012249710757689,0.9744591438918236,0.9697449839733258,0.9054588474322368,0.874824046247269,0.8946682363922012,0.8382840730224801,0.8394616800124205,0.8028255691202093,0.9003022008934181,0.7974611986484639,0.985430800953476,1.1863567473874856,1.0706098045333656,0.8515651190483934,0.8193260686297257,0.7983391280801511,0.850956250616113,0.8759616790230245,0.9263218657525394,0.94904549308873,1.0429139017049303,0.9457859647719186,0.8805062743162171,1.139609283084065,0.8370044474122386,0.8173575824625803,0.785853770681061,0.7938563221159858,0.9324645158896839,1.0588517530592068,1.1202654492569863,1.618832491655039,1.174695589315595,1.3084927999935532,1.911587121953385,1.1956409461820063,1.1302443123934558,0.8550742721142813,0.7660401000099594,0.7763765011446438,0.6794242189421495,0.6146676310286983,0.6246960129548239,0.5952232929136618,0.6688700638393765,0.617225149043696,0.5702936886242059,0.6805642868251037,0.7066060660945835,0.6310148977926219,0.6837808403938903,0.873062928719592,0.7561233414711933,0.7610580584804338,0.9085068584393013,0.9829241583155158,0.8969250945935765,0.976351649802604,0.9503887037045549,1.1902546399210745,1.0157542007006573,0.8259355286016121,0.9293083877407778,0.9258507394527519,1.7439548728931227,1.1590070861461528,1.6644992903883131,0.8694450232295514,0.8370641988065886,0.8995813286190842,0.8045285390711231,0.7890989230187931,0.671227974698576,0.7509098345595883,0.7546558748142408,0.8860840222219516,0.7128844809783106,0.852835787523806,0.8477319295091451,0.7763460050161962,0.9444016145454553,0.6384277982473819,0.7066752069677821,0.7290122097843458,0.8388500767244139,1.0499440604362584,1.2389202307369909,1.143714408252809,1.0222692792713828,1.052083954950273,1.2208626888566045,1.1282202360004985,0.96006327080718,1.2333743075373582,1.3214228872739857,1.0663466877349494,1.1778563963603688,1.4279433122351703,1.4000495119763454,1.1586217376977237,1.2452965838795493,1.032643360540485,1.0386419579638004,0.9350809838485241,0.9124802067683582,0.9174893588342153,0.7905470061312998,0.7537537656990182,0.7440460082606156,0.7361042337495003,0.6693261775548315,0.7110575557306025,0.8822865968147158,0.7507912159576469,0.7312880406129825,0.8197271637563094,1.2074971296445032,0.9578159360076357,0.9143420766288017,1.0722005489593671,1.2391019168598199,1.2158518434259695,0.9830547468713019,0.8169015316477725,0.6960052778977953,0.9491997658507308,0.9388958747584897,1.0678317488368003,1.0540817248782393,0.7955616383162113,0.6418627280413007,0.6057277390676404,0.6556425632970118,0.6582338476343615,0.6978271856457197,0.7425453624464718,1.7487255798596981,0.7325124126083181,0.6890046701447934,0.8126950704122597,1.1021202045834921,0.6468922106167083,0.7247624735957937,0.9169405352863413,1.3839847153566338,2.419548573676597,3.0116088085929826],[0.8369445170927532,0.6618403345754341,0.6580878853879891,0.523014020628864,0.5411727241224171,0.4479562053506526,0.366131668356169,0.45898346759645486,0.3930468881430525,0.38971871819430276,0.3990326419217331,0.47037757263900826,0.3892033698423909,0.44724074016662174,0.5346111379602388,0.4864491600227456,0.5241699645842831,0.6079214207346644,0.7132258435627424,0.6548203325735701,0.7364586902234971,0.8244771665145056,0.8809951577926944,1.124146390400273,0.76039270536774,0.7511889869643751,0.6307854895270781,0.5710979618065043,0.533256961834901,0.4960132114658566,0.5870463722871765,0.5183980843059279,0.6436465781345219,0.6358319518274558,0.5237059467436451,0.5536855728980501,0.4855323388112481,0.5201070106894217,0.5092434242019367,0.4865932013221461,0.7655939276522538,0.6529585447308989,0.6419107957354768,0.993890190104947,2.1824092815798632,2.8530841532938687,3.0866995182327073,1.4364022720737202,1.271008680012149,2.0170249850477897,1.1993495367697786,1.7054081351681543,1.2356129024965192,1.2806561396379361,2.1559193666219025,1.0092225101262415,1.3049238158662584,1.2350522767350403,1.3410558726702522,1.0634406914844843,1.049564572451159,0.7733195943844704,0.7256713871255913,0.9900314849950896,0.7414477804662232,0.6764758961433562,0.9294731080593406,0.6879604575503301,0.8777757148881848,0.743259548814671,1.009533395980401,1.3265603282161778,0.9185915647988404,1.1400559863265236,0.7008701009529594,1.3434491765007843,0.6592103015958525,0.6371309246675221,0.5926768169163743,0.6026587769623568,0.5691590481876316,0.5393950014219683,0.9264851372604438,0.5201670954908023,0.6351949611548994,0.48350613285680233,0.5313456894851777,0.6116886603825868,0.5654629751317963,0.6256779033793646,0.6392353230467364,0.8239941226789355,0.7274040169072608,0.6781434892406243,0.6294985590827855,0.6999175656888427,0.650780809961746,0.6056403811356544,0.565520118143807,0.8330547287737035,0.5437853155929071,0.6940523789303937,0.49369648375752306,0.6197997675346992,0.5468457187646085,0.5677750452368198,0.7467782878335952,0.6500899960980158,0.6835866974653011,0.6543604392201205,0.5646365514496261,0.41380559120343063,0.38845742525372184,0.43394447405294456,0.42958700168535313,0.4530987417818235,0.5752708652346761,0.6344234667345128,0.7951585412023403,0.6741124602563806,0.6945896176945419,0.5840286000200247,0.5533670553492375,0.43427822026887325,0.41179759208942285,0.4292469248877209,0.4818783462879944,0.4519370978062258,0.4711383135362436,0.5055751074894488,0.5530518323009673,0.5633927097004416,0.5112114083114209,0.5819408209943907,0.5356257362364043,0.605756579884855,0.9930787183130123,0.5526725155639355,1.1281762479949127,0.6413464949881976,0.635395188478691,0.8172340106516729,0.7170995738133827,0.5801924256499098,0.5283369984195365,0.5121813454156061,0.45961250248479435,0.4524864471488357,0.41586938051806144,0.45932255278385736,0.5576664071854296,0.599194284701413,0.9130659948757487,1.6096638820232316,1.1513612578941206,0.6798664378632369,0.5051924071876739,0.5628706543593188,0.4671314040021008,0.5272357728935709,0.4963917039103111,0.44683712338826476,0.4987694070398731,0.44651834436609045,0.5414712034501507,0.740157390596355,0.7082300464559843,1.0135630285302424,1.2606080825410602,1.0772852120365994,0.7999011097272791,0.6075526898460281,0.5272814646779515,0.4765184914119099,0.44529949290570764,0.45204510945668513,0.46457011174453133,0.6483229053820165,0.47688202801581175,0.4849342160724036,0.7405826327526072,0.4381193692218436,0.45939000598943497,0.507618532385014,0.5377116375529649,0.6306550868860363,0.7445083089677929,0.8178489833186449,1.5170891983132944,1.003665422856204,1.2002942226559323,1.7976787787347874,1.0778561698568034,1.0373974824544308,0.7198428036616414,0.6993223811260956,0.7284472125621078,0.5976695687689493,0.599434454963448,0.5887558832856024,0.6060092714770379,0.6220338044359587,0.5696832675785051,0.6223910699008552,0.723213896450498,0.7339893554689502,0.7173053048027513,0.770686492664302,0.9747069015051824,0.8444145647818826,0.8961305473880518,1.0712310833787986,1.1225046891825696,0.9981331586299198,1.1173264760377644,1.0337171064403687,1.3305621786603838,1.0803096036950994,0.9423592725685663,1.0742657616042504,1.0480064590315454,1.7609032425774631,1.3078211179533774,1.745897689575667,0.9665187677461362,0.9349881996077307,0.910420623065505,0.8272440437338359,0.8951515855773065,0.7376404639854988,0.744855038283065,0.7933240917314928,0.9415437482259907,0.7505645517446364,0.8585283467085689,0.9469686764337287,0.8230034711830498,0.9522543327928326,0.6777513033869236,0.6175435550791606,0.6576775773034119,0.7903791878923379,0.9553893168193552,1.2697013202179779,1.074662591668331,0.9525352585999111,1.0427031847993629,1.1809072895345134,1.0609406344461096,0.9851631469806864,1.2699087627890222,1.3476404229732821,1.1140937857851452,1.2580481143534514,1.5088867032738178,1.5074813477413582,1.3008274962312818,1.407783040921726,1.186593068898481,1.1663329994166949,1.013991399517982,1.0008882269076553,1.0382582295399478,0.9001487854952117,0.8518139398707044,0.8943272104374002,0.8903836396646458,0.7729617426795492,0.8405259592903916,1.0162949221448891,0.8702306130526727,0.8345207103035649,0.9295697864943441,1.2830255466411542,1.030636500543919,1.0057651883708,1.1725082059741705,1.3072477709918986,1.2881464622929428,1.0710505989067391,0.8716682482483978,0.7923764641461939,1.0692125227244431,1.0902527366721813,1.2109552453012964,1.1683646668737284,0.9233943129972348,0.6167638789225294,0.5540597837354413,0.5362315808254525,0.6009416800485364,0.6173362947157489,0.6947379651951077,1.565584505194312,0.6483470160916304,0.7025407102592872,0.7594099827543002,0.9736708701597777,0.6244471301177436,0.7629492065283772,0.9129828704876533,1.3259425046925575,2.2659804488300903,2.818087636566958],[0.7488111917637066,0.6109156649373034,0.6551381008239563,0.5662394722827213,0.6358086219510308,0.62671494487424,0.589109351876017,0.6951176137907145,0.6372885847914856,0.5745842837380476,0.5863458740196137,0.6690878344624713,0.5969095017467695,0.5732842348063292,0.698778977662115,0.6564350340441759,0.5946009832511322,0.6617509782059412,0.694056250673194,0.6995049156304758,0.7470429625553866,0.8613424827261492,0.836782541560912,1.096792292786281,0.750930824555942,0.7658114319340444,0.6811347567239335,0.6289496361961063,0.6609216753514076,0.6723674693291354,0.6902882860401401,0.7139804514925928,0.7664065450121014,0.7420630945141833,0.686344738734543,0.6819120976646561,0.6950092327198217,0.6364672868562222,0.6060456634691976,0.574515391373777,0.8963121897029016,0.6875120890207053,0.6804263574621919,0.9431975949719692,2.0260035625530186,2.694921249301798,2.8765433998509335,1.2872450160182174,1.203536191002488,1.8754351557687077,1.090101647954585,1.661986798511468,1.128366806943138,1.156096715083661,2.1821928204917507,1.1562820400742464,1.4326168712249256,1.1781456423407297,1.3852388275761105,1.0478827753205626,1.0044650205117587,0.811522237631781,0.7688808328833314,0.9382438978051215,0.7297039782311877,0.7200286446919908,0.8399623115034105,0.6857726897005894,0.8437023508275985,0.7403611280565907,0.9632777466718011,1.2249873243651246,0.887199555215846,1.0560540563844247,0.7382864501037132,1.3681588084622849,0.7090524585829181,0.7034103160138635,0.6839343049458164,0.7211114522044076,0.7491464536977043,0.7183380893237172,1.0986107045931148,0.6774113054642766,0.8003966106398568,0.6897047147476709,0.6724744386383099,0.7950478544587575,0.6782114930489872,0.7466264759764354,0.7074601368485073,0.893363100279121,0.7691430605407332,0.756164471746407,0.7273457423552652,0.755648313761942,0.7719667878091534,0.7401216213634776,0.7596980695650964,0.9945395697416708,0.7783912682643966,0.9037162509671647,0.7250075675876932,0.8313614745356948,0.7614698729785205,0.7639861558778481,0.8905836795635237,0.7755561694904411,0.7874853302510216,0.7774211536032797,0.7140118933219889,0.5972441849352305,0.6011155667368016,0.587155070363658,0.5455514523426098,0.524623830572049,0.6272222297051437,0.5650081614223597,0.6239610102920373,0.5802647494146439,0.5817333417984767,0.5400568674525064,0.5567247708608855,0.5024674942903646,0.5514396994590861,0.54780344018701,0.6154891576536643,0.597732265364209,0.6273817165903297,0.6817087328600762,0.6598387194744649,0.6965091516424915,0.6199367045815298,0.7642817870428049,0.6268008742698331,0.6830288996325924,1.0663339029152927,0.5683753448023758,1.086567985318295,0.5696379178695506,0.5412764714854805,0.6627846020677897,0.6613597674580247,0.5537903870744114,0.5631408888644172,0.6087724029098475,0.5420221951578358,0.6116553734981192,0.6085629996593325,0.6787417222773393,0.7654065479217823,0.7941949404499886,1.0332132296326537,1.6604661963804879,1.2614645818659316,0.888528365846215,0.748752857143997,0.8110089766018044,0.6892418673215369,0.722815745353564,0.6104487493065581,0.586481063301601,0.5514536912515358,0.5578939781593973,0.6040400756346173,0.7171158548317421,0.6958067179456576,0.9323394644259811,1.2038618996034558,1.02705017136361,0.7706187541983345,0.6053748752790462,0.6076609105389466,0.5915334144404054,0.6090238590246301,0.6482014518739458,0.68809769053195,0.8407607694936121,0.6616437052371488,0.7043360337511619,0.7377914848664927,0.6205295645989287,0.6267351041443354,0.6325888824973168,0.6211904815618609,0.6404039664879545,0.7211931795180512,0.8474196060280185,1.44931742179161,0.984123350787154,1.100686655259406,1.6916973354296945,1.035974501427705,1.0578530750028632,0.7520279986088523,0.7045872110514497,0.7593999645409844,0.6415440234903755,0.6405130077503106,0.6799251964055167,0.6557728046349818,0.7116607440793719,0.6581177127487527,0.6414260346581226,0.7355958230314794,0.7647777787646199,0.7144964494877022,0.7477574166800026,0.9409631696722843,0.8254821977690494,0.8351266457298526,0.9821612791624809,1.0457201892139696,0.9365693939886869,1.0192692796916765,0.97941748518836,1.223729021096415,1.0476653792899524,0.8879478045712229,0.9997332073534222,1.0043036788577127,1.7555951247746495,1.2879458222606037,1.7378827708537494,0.9361676847644654,0.9334167147700156,0.9719663624346723,0.8722057291010725,0.8652028822051546,0.7322951566344557,0.7769510708452537,0.7688365032243484,0.8819106848119608,0.7479609103847448,0.8693197519509503,0.8729216078221766,0.8195211094754888,0.9738631721031449,0.6960610327118778,0.6890366875792165,0.749435951568106,0.8521430083451834,1.026382146512509,1.33107501186185,1.1680106277366962,1.0394031634324035,1.0907527311948908,1.2507850435919643,1.1516517994846835,1.0210683995987806,1.27983135489412,1.3687353198043513,1.1087562255113939,1.221880075482162,1.468426720260617,1.463027212119917,1.215651876886564,1.3133439137995908,1.1013461919823604,1.1022035508848578,0.9910461778298796,0.9633753987482345,0.9744306543990235,0.8497348529010955,0.8366010277791417,0.8361829784518297,0.8301769653955925,0.7505257632847765,0.7999918754212697,0.9450138848291888,0.8153823230814999,0.7750684157467973,0.875972387951263,1.1990769246508062,0.9752527211365056,0.9504608320796935,1.0926999275075429,1.2436790157737039,1.256322794439618,1.019253374815971,0.8503184982651527,0.7683241230106843,1.041734698533148,1.0346686237767968,1.126268841294381,1.0895889771955518,0.884076120420751,0.6332774048699937,0.6160818608653704,0.6699541739842217,0.7046929571572632,0.7410085138799507,0.7708145261262045,1.6301009379126388,0.7669171996012192,0.7518573079608344,0.8161642845704649,1.073790100372271,0.6962235231908974,0.7487266436890283,0.8964769235899391,1.3057553036850893,2.233378396732341,2.77728486219965],[0.5075280617889862,0.37418234620143326,0.41439098198446056,0.3569455218886036,0.3956115789643036,0.331632673269158,0.29353961785635646,0.38243091563030224,0.3414305146791944,0.34062502321760824,0.3518774479382505,0.4524536317150042,0.3712146060205605,0.3799585183001694,0.5013373072422066,0.46057491013447316,0.45323085787956524,0.5222364984367222,0.5910986318744551,0.5709669651947288,0.6306471519180017,0.7284678322850832,0.7832818751240281,1.0059196407924789,0.6449517696998728,0.6579493436159163,0.5387411558191131,0.4760684357087456,0.49069912229084217,0.47083297587391215,0.5437552239959116,0.5295624547212937,0.5977767408181364,0.5898813277880122,0.5013783254613497,0.5019993293807242,0.4784600695333015,0.47576548602915997,0.4510576522553803,0.4211391928244708,0.7468529954777979,0.5785065674616687,0.5542354938260345,0.8536354059262109,1.9989361699529165,2.683974465119065,2.8147063164445685,1.2046939781754402,1.1485600738653525,1.8141647747452585,1.031619889790213,1.652781935940698,1.109981883187743,1.0773194587715411,2.0259753214001974,1.0548857175146371,1.4071060076580881,1.0694938170970363,1.2603708526198862,0.9641889219966893,0.9512567279271568,0.6984738659306876,0.6538959405677387,0.8944136297510572,0.624710569549341,0.5856917314600304,0.8082533227702555,0.6020999417634294,0.7789695345386506,0.659982333043147,0.9131620842593686,1.2219276823435483,0.8453328639549532,1.04443266210648,0.6400926584886351,1.295876171756346,0.5947860752970554,0.5890268821638626,0.5394013511838078,0.5593557452837227,0.5446238438402242,0.5187459214498992,0.9833055021779051,0.4885762138267279,0.6140327560895114,0.46918750945289756,0.48860075011774656,0.6027012784174446,0.5172264030716021,0.5901591091665251,0.5780496950704689,0.7847414746843686,0.6761954870152181,0.6212402936186836,0.578197616069483,0.6299520069389708,0.6115542843355972,0.5673473013868426,0.5533864141160987,0.8319114438555643,0.5392290192231851,0.6877486454604488,0.5064053525923824,0.628045006419256,0.5598938742780014,0.5476001484959663,0.7034517931136358,0.5383777092249825,0.5545895235968206,0.6036024445671798,0.4418947570511514,0.36087226505231007,0.3299586004009777,0.3740278835047148,0.3562754910264439,0.3675455294868023,0.45552715772975705,0.44846651563291384,0.5925918139262514,0.4917195178741346,0.49344035834041855,0.4420777567532113,0.4355272320995159,0.3557319319090221,0.3557879405491428,0.3464195488216229,0.3676173954498294,0.3707526331804231,0.3623996914108608,0.48784840589680445,0.46292744960516274,0.4930164754121484,0.4353885726993089,0.5880268662326826,0.46314319745779114,0.5308580827891117,0.9361730966828672,0.44768853345187276,1.1266300816019517,0.500292618124604,0.4624274441467737,0.6282997568215475,0.5816310598780787,0.42936981795246026,0.41041555642306365,0.4443238826096223,0.3643304456036285,0.4048404554761066,0.39048088889478083,0.4510588058780077,0.5042249966183121,0.5727604667049891,0.8828613755745022,1.609756724035001,1.1473312540158103,0.689614021721892,0.5141762317093388,0.5649882930066628,0.46407679895036685,0.5294903541550657,0.43101159000745504,0.39253847646411094,0.3855252510975958,0.36775008458185204,0.4280908104328949,0.5958251354347752,0.5978917207430257,0.8446959996637219,1.1371473325318338,0.991295731106602,0.7127919861772238,0.48802334099965783,0.43795058470050013,0.4164380209957252,0.41041500432659456,0.456974916967557,0.4871114186813445,0.6922318402631027,0.4801664798470515,0.5034849598156839,0.6969671106328015,0.4184049805014718,0.4260020020928152,0.44367049749251947,0.4526780699526277,0.5299283725427034,0.6649855598002782,0.7588777065336589,1.434444249434894,0.9013913945591069,1.0807517402897449,1.7475879723072896,0.968276595649314,0.9611889564718548,0.6376761465926696,0.552956385094359,0.6329013573419425,0.46043700568977863,0.42886782170319254,0.4756934813882536,0.3998730659686375,0.44696144956771355,0.3914423654758668,0.39643607064045694,0.4941655864063437,0.5122090234640738,0.5244913530917605,0.5471370267021618,0.7319987274762456,0.6121112258760024,0.6431470726453059,0.7812565562223841,0.8454951273584623,0.7899232761270613,0.853739753730638,0.8343113487939832,1.0621588420071493,0.8990104280768355,0.7040377507330969,0.8168862259508495,0.8185701022080796,1.7302257119890623,1.099351346330268,1.650834542336967,0.7622746909648794,0.7448575373299192,0.8025074752791096,0.6994549113399581,0.6766043023281394,0.5125113618603888,0.581855683751313,0.5813921265872093,0.732434978918821,0.5372597998571245,0.7633337392176199,0.6895887870297905,0.6329697425348337,0.8076186686050134,0.4717158200743418,0.4837701562615606,0.5280486349390656,0.6847756082682029,0.892398274543187,1.127482350080231,1.0123388363584083,0.8699721975620394,0.8994614148259822,1.076862629464771,0.9754166154411626,0.8042486792650133,1.0858296915935455,1.1708958456477039,0.9010079926809452,1.030754403603847,1.2966555724757969,1.2646132589483297,1.0418837185645864,1.137100517800854,0.9176672648840779,0.9149445157781808,0.7861688046634135,0.7701185324852722,0.7910783906591219,0.6497099999550587,0.6191947440064144,0.6154347153759142,0.6131062702927833,0.5271220095737811,0.5802062365348442,0.763884771212544,0.6517950820540138,0.6117414465067176,0.6892972898652867,1.1143078466170369,0.8612443903342423,0.850120506203041,0.9937675829350553,1.219957599506501,1.170809127061657,0.9326363580876634,0.7206458568658184,0.5986047421912667,0.96731849787223,0.9448470411628769,1.0570684771630985,1.0444636791852917,0.7597338074010958,0.5008617840346015,0.4041377113104102,0.41186287096621527,0.4101904690977822,0.4404887549398855,0.539655984918806,1.6005644205765568,0.46968052209201877,0.482678848769914,0.5768959778897988,0.8666728059581184,0.44351880613491707,0.5241003479406171,0.747507941127618,1.2428313231255945,2.230653456857243,2.835408784801216],[0.5802515014535948,0.410471702667401,0.4397298267259232,0.38055957833527265,0.40043726716699635,0.3845746668119598,0.3175575437525298,0.40322417023044826,0.34625564651379953,0.3168126900122139,0.3371446944168895,0.45468428628871366,0.3681409734864589,0.3500255166725308,0.49485460469768183,0.45258239206753237,0.45869720101388095,0.520472348807503,0.5856283034787456,0.5612709923487861,0.5865841563895998,0.6571292651377304,0.7399260126332988,0.9120881711551636,0.6028715520259009,0.6169278036165313,0.5191670968166623,0.4445730092177314,0.4765615918733189,0.4655091455951334,0.5415642291623517,0.5489968730238706,0.6204936913137135,0.6083568397772734,0.5183379591018051,0.4959477674764216,0.4807358591641806,0.4696250003907019,0.4302677780565366,0.4034471056978384,0.739529930300133,0.5588640556557065,0.517754989118774,0.7178465131652318,1.8204196058943305,2.507929931046219,2.5408666070839874,0.9855879381040351,1.0431825749365944,1.6229688263953383,0.9218418064786659,1.698823086566519,1.1340350039680647,0.8821402339722063,1.9233594222248882,1.059527187510563,1.53738448325034,0.9245842899876063,1.2277698874109215,0.8921652891473464,0.899653289254504,0.6904811286315793,0.6489910380633763,0.9162687410275216,0.6160631004141361,0.5623948125842283,0.8118595160673103,0.6191914419403668,0.7782425240801883,0.6489970989177847,0.9439935302477511,1.3226162262833208,0.8768478914376895,1.052130766544152,0.6337778441516058,1.2957866935766604,0.6030085751924265,0.6181591626292061,0.5527172971893065,0.5683502468491711,0.5692224815415868,0.5198064169193694,0.9907032784276778,0.5112106589990945,0.5999050855829822,0.47481146481951714,0.48462417908472083,0.6076260934787194,0.5091034633640352,0.6115052108521546,0.5951657388083965,0.78453906288184,0.6844896337458526,0.6290926261129093,0.5809176809716046,0.6372733005228792,0.6254275060008828,0.5817711771148816,0.5942625082204471,0.8801198481675527,0.5867304034084402,0.7453764020380799,0.5604412884085129,0.6861672809177877,0.6345567470642802,0.5653074801605179,0.786081452314331,0.5421059992497517,0.5606714029954919,0.6331672331634751,0.46191510883899556,0.378333522453463,0.33085140951709824,0.37840367085307486,0.3678339018111183,0.36775009141491866,0.41975910123592525,0.3913695197514617,0.5469885410270716,0.511570161135826,0.4575344518235355,0.40471051680212666,0.3915497548690108,0.340894826338346,0.3639694680738303,0.356579622225215,0.3971529967359142,0.3972814806290299,0.3806342730697382,0.5115057743526928,0.4668688364573423,0.5281794013775105,0.43781862813936995,0.6277124856521319,0.45145766934468856,0.4956046387865762,0.9512765470650775,0.4254832796522304,1.151897086633675,0.45787554009193215,0.4341470003035306,0.6057855651714866,0.5773411727405887,0.41479339462890485,0.3905775159486116,0.41033906929088104,0.3458669314669498,0.4024593770401291,0.41636707330192524,0.4648144536646798,0.5128289017017632,0.5886260074422075,0.970831365078166,1.6898536657599597,1.1606892442879464,0.7407140067467732,0.5442246131674868,0.6041738427445169,0.5220898213993913,0.558881182921435,0.4360631336751086,0.3953324802440063,0.35622905783298014,0.3630014536872117,0.4248831926685331,0.5620083648418817,0.577531030828606,0.799065796210422,1.1072264701700556,0.9923722114306478,0.7156198568566674,0.4726804182798992,0.41376332434812785,0.3966399481369653,0.41987497570574844,0.5047471666527812,0.5191306685578112,0.7454988094562195,0.5133087609765572,0.5862321027645757,0.6246895373346609,0.45364316520457426,0.45501605405832407,0.46422123299649465,0.46266013625120256,0.5186688607785347,0.6399437239067697,0.7443849671750559,1.411074562166862,0.836529831438637,0.985702910950659,1.6981573535961205,0.9199350593703746,0.9053503712455327,0.6037957205173096,0.4972699490442133,0.5998008406688116,0.41057505218507073,0.4099238539602174,0.48791063908968135,0.43760940323096265,0.4985083521958347,0.42600886381636005,0.4173878147387559,0.5451510245052887,0.5486437425769586,0.5246544742296618,0.5689570011839554,0.7645570221100855,0.615161289571898,0.6377244047911729,0.7719493988370556,0.8194469087827959,0.8054705525513256,0.8352676431960568,0.8145893012318722,1.0567222042777973,0.8870750626379338,0.7051619373219844,0.8454281408887088,0.8687809151634172,1.918004020819619,1.1428754371063192,1.6467509205576223,0.8186590041052543,0.844302783214169,0.8948334631355119,0.8181873884842757,0.7697838314968591,0.5874503704889047,0.659551339535392,0.6181153246925863,0.7408837854012831,0.5599391037610465,0.8423497147224194,0.6369391257957739,0.6391231751836179,0.7635523857419274,0.46500272826484074,0.49122925084462377,0.5894187241023559,0.76293930602734,0.9792163729069102,1.2465743052958818,1.1069796068104891,0.9425555078243597,0.9904772614149827,1.190481270410337,1.0319633776669175,0.8690619358744854,1.1519597589169484,1.22001070118124,0.9185150103129309,1.0828256501162659,1.3466435843629025,1.264619994923038,1.0681090032113467,1.1855836627881762,0.9611723593201679,0.986758765267215,0.8722932702063206,0.8575946909690617,0.8535256415230619,0.6994584647150844,0.6878732912253875,0.6620482764296756,0.6403589205774192,0.5503763370615644,0.6039926939015228,0.7539422166794428,0.6413382288387287,0.584907578547809,0.6717327372169637,1.0643478961241206,0.8020756465738998,0.8219492427208157,0.9522434925869561,1.20073385773207,1.172272764244521,0.9375250524127225,0.7134740146484194,0.6203274056017762,1.024009152370478,0.9594250226800481,1.0468831713219737,1.0239801472959162,0.7482980913751469,0.4989721474806765,0.3886136983956596,0.41809398806618847,0.4068489544396493,0.46460340885485396,0.5853274100820813,1.631126657089891,0.47068398468293254,0.5073913949935829,0.6050857922851727,0.8437810207729666,0.47160605524818366,0.5791264690787038,0.8070624619733336,1.3046993484155835,2.304453011091292,2.9333842553901106],[0.614906294141839,0.4883965504664255,0.5173644335790574,0.4662845489261707,0.4773552578541659,0.43429960947194823,0.40708557445521154,0.456004834417602,0.4329846379042847,0.4236724184424277,0.4007876576436795,0.4823403140416592,0.43295622007644563,0.4367195276480902,0.5627291074704525,0.527822230936372,0.5415414454865454,0.633973920957176,0.7354099874367914,0.7059433745439991,0.7428405587383888,0.7697706034694312,0.9287695960392834,1.0880444764351271,0.7244620421207014,0.7434138630863389,0.6697912941501157,0.5933296377161561,0.589990775768554,0.5556979996802144,0.6199721577513841,0.5713080788310483,0.6957064898596184,0.6652031563722269,0.5802558031355615,0.5884208805113094,0.5549613201171684,0.5925979211221319,0.5780225319650282,0.5481421007454481,0.7998331787031623,0.7090936095901983,0.683951412697169,0.952251368143063,2.083547030540151,2.748812975204662,2.7903378841898627,1.254557071225067,1.2290378501370771,1.8324006657649476,1.094969346976479,1.7034308132311293,1.2482898414673618,1.1341978893799163,1.9026100965165826,1.0967902106365173,1.4745453217210527,1.0925675231096796,1.2491597056469508,1.0731332562977105,1.0849894665357793,0.8569544551736201,0.7931076361510876,1.1019712752354813,0.809265456504603,0.7421375316885627,0.9695352848058537,0.7484517249650401,0.9238567602212002,0.7671650217046855,1.0449696822309966,1.3860204492912567,0.9381190053118366,1.1757705017997127,0.7350021941707364,1.3531533614695737,0.7178950327244812,0.6951149700971094,0.6493026039475284,0.6338009171067279,0.6371094011502009,0.5948435235392284,1.1031569600388114,0.617415255274368,0.671160908951995,0.5895904329121697,0.5933866688205236,0.660252236976305,0.6071427879818633,0.6492054199746132,0.6909003497361709,0.8456025986872134,0.7535607437256008,0.6916191139671216,0.6404936811879235,0.6953620907422582,0.6639483004543593,0.6370330503816288,0.6124608634462259,0.8962138876544469,0.5835646353743211,0.7187571989106065,0.5502103646228967,0.6388244273332244,0.5953840787913084,0.5857991091156852,0.7391997299389057,0.6184738601045747,0.6443292561581125,0.6806075285763937,0.518226026497725,0.44778515604020624,0.42640258879034315,0.49036018010698273,0.4825152735515207,0.47979165378090927,0.5581471573131644,0.5721205454775367,0.7066859701197771,0.6218238610759612,0.5953811719705641,0.5396305408759356,0.5526536500670391,0.480250198445641,0.47126438592507897,0.45899581219673563,0.4726179642160933,0.4693666086214646,0.43777449127657825,0.5467642835517906,0.5458623503805197,0.5434501098251996,0.5242335892976844,0.6569584025951067,0.5433115134322578,0.5873152476315334,1.0114583894720988,0.5648049933845266,1.1874915311297063,0.6195740888386064,0.5990393275735982,0.813257216667878,0.7565612845190224,0.5780881602165474,0.5527319035675109,0.5468176734092489,0.48939219912694426,0.4944567916758044,0.4863277857372583,0.5157583525834611,0.543074060536943,0.6029530580093408,0.9102217048500697,1.7135312495934034,1.1909029923496088,0.7158307757931786,0.5304584403154536,0.5780726584604174,0.5148301740426643,0.5623183344584683,0.5206830098766172,0.4905000562688479,0.5341328750051233,0.508286703850665,0.5399070535742893,0.6932058194897384,0.6453381109474507,0.8058847917038203,1.0676904945516894,0.9860585436171255,0.7275759812688534,0.5976514446725333,0.5319932875872564,0.5207991015365774,0.49784807157318656,0.5260810189060903,0.5449976256631063,0.7332925130437542,0.563235561602472,0.5744136272264226,0.7623496006830165,0.49161669549124454,0.48489120522222906,0.506303277755756,0.5393057417202413,0.6650275227144739,0.7617946810491539,0.8500768961057295,1.4397516716187897,0.9301838264493728,1.0842314529753483,1.805952779547558,1.0066797651357964,0.9859172921865237,0.7041579249072486,0.6284577607400202,0.7031560128962765,0.5527377907712282,0.548322405914326,0.5679939869260994,0.5111424931020866,0.5413154846457519,0.49922763573802226,0.5174798647170313,0.5910457824647146,0.6045494922980212,0.6068388853496997,0.626203680199586,0.7906221123700611,0.6884997282565207,0.7149129409395806,0.8275797449787006,0.8779130929835051,0.8753673589833514,0.9151199578976209,0.9024982207374409,1.0848281851841934,0.9685744061111318,0.781615588794465,0.8687243072451071,0.88885670807154,1.864498861073441,1.1457635587614972,1.6655560419568118,0.8428443852292139,0.8522443469871208,0.8979576979291247,0.81600736629686,0.7768304132671182,0.6074154904622765,0.6354525972771269,0.6516182926131447,0.7656139541397626,0.5993659764782252,0.8838530358055889,0.7156535784535037,0.7082835434321507,0.9035800525939114,0.5790207616011617,0.5657743641733209,0.6228884821959447,0.7537777150849134,0.9764496849651888,1.1796723846365473,1.0965098003775309,0.9407138035024439,0.9674830479054877,1.170628741008862,1.0205971685578135,0.8643339793562562,1.1398633772371987,1.2164720898784385,0.937547517679157,1.0730282629993502,1.3318818026644232,1.2662132529381054,1.069546280256549,1.167544747296713,0.9542862256804063,0.9585416337312782,0.8426401532426214,0.8290146673578315,0.8538824219034385,0.7203822284099535,0.6969471012706567,0.6883885066850938,0.6885120984346516,0.6177435513587415,0.6477642084024711,0.8101702936543314,0.7192115659757458,0.6795070856579022,0.7346203520966277,1.0947082679039941,0.9060856119258286,0.8838197026113757,1.0187114598116347,1.2611974990018933,1.183405806230112,0.9913945898995082,0.8092922356083752,0.7026819021851998,1.0298529337591666,0.98230632365121,1.0892955916446045,1.1038799007779077,0.8136725892516302,0.590615845639176,0.5085972281839608,0.5122657235089925,0.49655237660193174,0.5348888865239856,0.6371391058607658,1.6773474214325335,0.5366026171998126,0.5883776750225997,0.6709417980257448,0.8808870377195576,0.5704245624960913,0.6541105975092258,0.9253182778179552,1.3732297210060684,2.265161569760036,2.9678543161457562],[0.5936190542972124,0.40248850395376357,0.4549242944157356,0.36371260375490155,0.36805022739845666,0.3471359852994097,0.2744906960613797,0.385171862640622,0.3174061023331393,0.2955837722060595,0.3192602820092611,0.44796710838612697,0.34895011361898914,0.34209347492696196,0.5160984305440056,0.46793045888107615,0.47309962749010503,0.5531124835151741,0.6296708157395866,0.6235857276152376,0.6381368192589053,0.6488920413811174,0.7942381905918823,0.9123305003429499,0.6257509456691304,0.6431769133985834,0.5743543537024043,0.48265375055351306,0.5155757292247175,0.4864591077742226,0.5822933424871691,0.5765934827089795,0.6772163249971768,0.648405130021969,0.5571143676169624,0.5384254695717973,0.5143707943588337,0.522572890300679,0.48798358122868657,0.4650166524863736,0.7311928662048137,0.6312006535885814,0.5658583590184111,0.7228154417541892,1.787655113968073,2.459581341341287,2.392429440689265,0.9024966239642753,1.0086120579657514,1.5128112630539525,0.8962882180993366,1.7296179705199581,1.199787654662484,0.868417316244306,1.8458317072087742,1.0926464916405347,1.5948647259461006,0.9013866614510253,1.2218039041367628,0.9104133468511773,0.9539892905131944,0.7542567484332899,0.7080561074908522,1.0404593702804987,0.70686830089784,0.6234858040651003,0.8687697152749022,0.7029011002347091,0.8405606798524383,0.6976677370014003,1.033517972915545,1.4652492423808638,0.9507838232079944,1.140491961427643,0.6997271726544279,1.3648269590473765,0.6720356983546181,0.6822020291060588,0.6128534480770854,0.6257245318094334,0.6184366447382358,0.5595936611601928,1.069387400717472,0.5854701777112238,0.5946097763826028,0.5142178844943129,0.5274203536558459,0.6284836872305771,0.5623702295174575,0.635944898972075,0.6520921128315749,0.8219141140189193,0.7292244382398535,0.6764679532769277,0.6170461175930788,0.6730344414453163,0.6447748840388079,0.6130096020331273,0.6045292241202855,0.9003484029064481,0.5930240988875963,0.7339891770843712,0.5636382249933214,0.6691385923505736,0.6201466078943231,0.5629469134016702,0.7885299648485808,0.5416256162905096,0.5493489198661674,0.6494509595853842,0.4410807897911,0.35641501091642525,0.3140182709452661,0.3476383443983111,0.3788423068144148,0.3786201478321641,0.4364933393029633,0.41946946815230035,0.5914946092690914,0.5400138902339275,0.4835616741408164,0.4274211219623382,0.43425910641278065,0.3387770451390758,0.3161017911875837,0.304121042942008,0.3744452608823344,0.3513603529214208,0.31638990120826793,0.4854914672867057,0.4206370923379003,0.47999311018976826,0.4124349541437259,0.6488335355238409,0.4431376203002827,0.47654700433797587,1.016681237075997,0.4433988374174188,1.164675371646327,0.46200908314614586,0.4525796275501503,0.6567642861171569,0.6252949732132008,0.4470290100155912,0.4229986809430707,0.43653794383537897,0.3703708332379005,0.41102012038153646,0.39741723606976087,0.4303267230889601,0.49367509494021855,0.5953375855108013,0.9832490472537334,1.7570423465834986,1.170176759998498,0.7577040053005191,0.5352007602359337,0.5915074969583384,0.5053356754992184,0.5319228834836142,0.4266603160108053,0.41276148182281946,0.38525481449576915,0.38663078634507775,0.42338613005717846,0.5572103268828171,0.5306320593996652,0.6964137691272934,1.009230386214335,0.9539379653144598,0.6811679142438211,0.4902654279484269,0.40398269094048583,0.39166455391893096,0.40413080493037434,0.5085406542046406,0.514388402478448,0.748264904795898,0.5174402427946295,0.5913713975161831,0.6438641189327308,0.4407415140560881,0.43098807168329883,0.42207545596914164,0.431514310777842,0.5315855175161746,0.6487694819540667,0.7573236458866456,1.3450239730780278,0.801224964426395,0.9013280617152953,1.6650438591374093,0.8620759050192468,0.8278014281964032,0.5547545269024694,0.476053100316619,0.614666834127197,0.3919413204311278,0.39309267323956015,0.4700586172477146,0.4525396818137313,0.5210097616235969,0.42223852356516356,0.43231838368726033,0.5759581891637309,0.576869760348395,0.5437524482137482,0.5898852474081617,0.7852473493688166,0.641025505170209,0.6664328119968408,0.7845976192794445,0.8186816965249747,0.8680070911405534,0.8534477112058501,0.8367017403056989,1.0340509808206386,0.8876340809084642,0.7053116198349475,0.8487968960831271,0.8815776065683079,2.0428252550730397,1.1296986369151991,1.669257555035749,0.8638663336106522,0.9175860355682172,0.9451237635232412,0.8831170450852257,0.8160302308354708,0.6016795150581837,0.6653834548739985,0.5989400461840928,0.6796450538665578,0.5166499339171123,0.8717946659679051,0.5459087828756354,0.6104968315110266,0.7545330029080303,0.4329306776704952,0.5233049664548529,0.6328302182988166,0.7940474435609902,1.038849929351763,1.2901362202192141,1.1720332028848282,0.9865068415442849,1.0435147528991748,1.2571517611856,1.0825949723650572,0.9035631249682952,1.1773467093159649,1.2286183544540172,0.9426464664445956,1.0989699579286836,1.3482617312374832,1.228955068515449,1.0599885992848241,1.177808019112105,0.9616500750333814,0.9982371461295287,0.8964700637342833,0.895351805160453,0.8773920458540329,0.7257704402566025,0.7218284884319103,0.6845737743621917,0.6591986416149236,0.5648404682744663,0.6143556927989475,0.7325695520587833,0.6312859102705166,0.5730114074727237,0.649753188284382,1.0474019052381067,0.8006565892670767,0.8033186524739602,0.9223532890645514,1.192214736032457,1.1148302495480258,0.9224517923447446,0.7262845174742548,0.6398562590316446,1.0025101752563967,0.9191328181045608,0.993894922740711,0.9815363738468951,0.704457925809128,0.49137755144559087,0.3694133055111738,0.4265997628462406,0.4330289808555296,0.46213574669180535,0.6184930105812125,1.681456975317811,0.451603050630971,0.5556986640039931,0.6618298847571542,0.8163496148042826,0.5352194741453423,0.6617575320054278,0.942327684525609,1.389423053446272,2.260746742820877,2.9700284959451393],[0.6147767896934305,0.46364056410619703,0.5112273013803839,0.46593086491601815,0.4485612287356938,0.4158488939450483,0.36868855711131715,0.44690202172249216,0.4113501874697089,0.41780494376759136,0.4385192430396765,0.5564544380009653,0.4626718546058992,0.46562840777505815,0.611989290061501,0.5896352118142717,0.588994325306614,0.6751659125801432,0.7660314611195624,0.7554224127817979,0.7581903555615676,0.7458321165616671,0.9151102391575143,1.0545285951003789,0.7528467030107661,0.7728647861787812,0.711081364372808,0.6110814055947793,0.6367182331372699,0.6101227898600237,0.7109443635145666,0.6695469020051759,0.8239914277542065,0.7760379292916397,0.6890986695465645,0.6603635287457029,0.6240580856133677,0.6508114989960117,0.6219380215224487,0.6102993758013174,0.7864207820102699,0.7785625146016946,0.7170674468951068,0.8939171381437393,1.9539183718084339,2.576719918199928,2.4915947720430722,1.0536367495956442,1.1195618913912018,1.6107693501125904,1.0052073276728812,1.6569513352786567,1.249276877279615,1.0102003144172258,1.8088206233297557,1.1728179953688735,1.5620011439471029,1.0430725853414946,1.258065564052477,1.0204925414342128,1.1057055292264295,0.8898142646770374,0.8401401890045058,1.2413869530898258,0.9108560654356593,0.7799109874838257,0.99076917841021,0.8379473903404516,0.9593072817806417,0.8084679423416857,1.1054790948602402,1.542105849872542,1.0353610488455496,1.2935540790318814,0.8453002709611862,1.4645071867806474,0.8253883755472332,0.8273705920977491,0.7604441111968,0.7519837678497355,0.7435328019631807,0.7039198240002006,1.1755838892622863,0.7183454325517453,0.6960366974838386,0.642571892022801,0.6414439577703854,0.7359185327486898,0.7027671475607886,0.7560724230957224,0.7941633273470997,0.9355657988031826,0.8460341007558603,0.7902322351429099,0.7228067872309227,0.7717888315732875,0.7259823920465631,0.7207288404303517,0.6944467833503244,1.0056844690400841,0.6792435205315207,0.76715696117806,0.6514876427356967,0.7187024828518378,0.6725696270173104,0.6345768266759292,0.7747825096817262,0.5882068999610451,0.5985634074180134,0.692294762064219,0.5000116550054357,0.4504413779064985,0.4283214833079713,0.478652860841256,0.5048938613459624,0.5309901807688455,0.5711717230644263,0.5884070259318233,0.7502153378382529,0.6636423867371307,0.6220788798956604,0.5782428472961817,0.5906664434704679,0.4906881759156237,0.4582612641381726,0.42778473614980034,0.4791251831862368,0.4573005561822849,0.4094560390987879,0.543522334964437,0.4762686225505815,0.5142349521144273,0.5045401417523033,0.6991505826659546,0.5441124402738767,0.5885362906469874,1.037296376455265,0.5686064727236853,1.2222744717208482,0.59217064815502,0.6059144146701884,0.8570885777606483,0.7909634648404789,0.6072059141654029,0.5767162260933046,0.5595529218197265,0.5102032616821301,0.5114389552657977,0.510427497862965,0.5274385755550143,0.5776764631258392,0.6790794852525692,1.0140425211760051,1.830503561632689,1.2728047383872947,0.833297164527855,0.6191041626434597,0.6626141439735628,0.5999165853737694,0.5922141941176702,0.5260868063493812,0.5138639888587018,0.5256729445209676,0.5173656952853037,0.5310087810605634,0.6655049969642738,0.6095686597769621,0.73104524072846,0.9817942312248601,0.9693711787268823,0.7068832802619095,0.5860335718699123,0.5039752196029572,0.5042010641172876,0.517541111535915,0.612971263769209,0.6292111379799283,0.8143600816998371,0.6322268894342236,0.6774121327657039,0.7659129753221584,0.5364214205484341,0.5308626090109492,0.5136232115465268,0.5280784727483473,0.6485745597595717,0.7285695240193085,0.8656941000675468,1.2913613614610704,0.8280787176496379,0.9784770372313139,1.7752122623344977,0.9607255216891835,0.9210637652737161,0.6501784480784757,0.5601859570415894,0.6723187807044357,0.4674667699397548,0.4661878041310755,0.5018222186718454,0.49475172998667427,0.5621930017765248,0.46543259589505837,0.4926469989073009,0.6141192436595729,0.6267333289600681,0.6129250462007866,0.6417571454593177,0.8170169453974591,0.7006346600691362,0.7148346652885231,0.8077894338625151,0.8516304310171517,0.9041915063835348,0.8804065111899492,0.8774911254477534,1.0526486050892307,0.9248514166011973,0.7342450392074539,0.8532485060405548,0.8711464821792655,2.026647182285362,1.132013366804459,1.7026580058685694,0.87868484579614,0.9097934306884642,0.9351168980521557,0.8938732185606287,0.7834645477447474,0.6033945435323957,0.6821996297152867,0.6199781713769011,0.666398443091698,0.5287083305446458,0.9184166192434716,0.6079627473806798,0.6882209717826437,0.8314909072105554,0.5075158986435778,0.5906411275935481,0.6814333822684018,0.8200066774722993,1.0759899217768307,1.287406852854906,1.2084751526254833,1.0009798323922134,1.0454278313834584,1.266514086388565,1.109494609135803,0.9243617206337627,1.1932945077734463,1.246834342439702,0.9712025128234312,1.1060962611586427,1.3539331876562295,1.238484214535987,1.0711790533037278,1.1831999133126319,0.9743484837778784,1.0017129012441257,0.9051048506278995,0.896797774948839,0.8842447790706274,0.7454794184627623,0.7464195001033725,0.6934754635303386,0.6741565333558424,0.6051928538975704,0.6377411735817567,0.7304909672111091,0.676628565203254,0.6412544231334428,0.661888073743792,1.0502610702533979,0.8320221328245473,0.8363081910596966,0.9702702407352156,1.2496600940400464,1.1321619444914996,0.9526240309245172,0.7734111580776024,0.6775188334508281,0.9925455842332777,0.9249333563198939,1.0117032544732145,1.0248927155321168,0.7482842050842342,0.5476949233925096,0.4394151005459809,0.5032033421199941,0.47642637260768383,0.5144123758731877,0.6823783371968938,1.7114417208299686,0.5146527642182185,0.6181069783700279,0.7256482807399677,0.8086738068634118,0.5995168540650416,0.7147813893771116,1.01892117123932,1.4129342901574968,2.244046830051377,3.0565381856856444],[0.6045057671267483,0.4124040910889199,0.4915940537939126,0.3764680324663652,0.3939916429135983,0.4088566854531109,0.34327477049555244,0.4452269425623214,0.373770658806026,0.3608727289064117,0.39370191432445273,0.532747871266147,0.4217774367432392,0.40041189907009156,0.5735946717737298,0.538820054678058,0.5458044888758169,0.6247041505249412,0.6937511195343132,0.7069265115822372,0.7105230797136446,0.6898497475324232,0.8636128466976931,0.9559131587935443,0.6768740773401145,0.6949808127963409,0.6389487101469632,0.5499730625327143,0.5925046442707679,0.5658113178167036,0.6740353268155673,0.6472511479554744,0.8012447003063428,0.7573496764459231,0.6617278903392708,0.6296650734432059,0.6045083747228995,0.6119344604441286,0.5794130662521559,0.5907879746092156,0.754259442155333,0.7379042586434487,0.6576857258581567,0.760411051694876,1.741231557345256,2.3794947563572837,2.2109063612024533,0.8612964960982628,1.0208406407803374,1.4316894103160778,0.9549565751040324,1.7458248197186763,1.2873326299508585,0.9311863872201834,1.803074326052127,1.1837623204540109,1.6696670521295431,0.9703518990624451,1.2554552455792007,0.9985480032125286,1.0503760444388057,0.8525472949398815,0.8097408450376034,1.1961977199325857,0.8374264107570204,0.7137709859248615,0.9504734020005254,0.8039110315073041,0.9154914384442899,0.7629646511793132,1.097528556364549,1.5952699621066282,1.0332541606539043,1.2544842962663627,0.7954071200189919,1.4124925670575417,0.7764297924413952,0.7979650725096543,0.7300945214150945,0.7390011181157397,0.7320367902103182,0.6825775304482729,1.1815196235885166,0.7342682845806933,0.660911433093691,0.6148710800611443,0.6259092753487885,0.7181507512924848,0.6630154412531051,0.739027554545694,0.7580916720048556,0.9053385253873139,0.8182094475072507,0.7647373046014995,0.6943888484790162,0.7478031973201527,0.6987004669847824,0.685050441343909,0.6688764934940391,0.9959322069329973,0.6742436353455237,0.782849112069858,0.6418865440418722,0.7289422856648252,0.6895601276286148,0.6448413575578322,0.8495635628991983,0.6114462638077264,0.5966183293185962,0.7502269966072777,0.5042781739659489,0.43758543489255236,0.402948709578399,0.4130073080574521,0.4513399487309872,0.44342656833946303,0.489266955674712,0.48915473205477034,0.6572946220655043,0.5857806450766998,0.5380980149509389,0.5046195612882959,0.48529073965701636,0.37916498425709766,0.35791970053693334,0.34932031510232314,0.46525266170354584,0.4138787763147888,0.4004439803317369,0.554016305182266,0.47908562296443685,0.5301220320280033,0.48129528989652426,0.7238371051325263,0.5112815843393108,0.5238718711017533,1.0598379561611673,0.4974815798484708,1.1785589428858971,0.5098663218292736,0.5155089878299296,0.7265973386235501,0.6963612245276379,0.5164881115687117,0.501200983038935,0.5111907143667089,0.44242081124453464,0.4714726990982023,0.48710121491001374,0.48901952899112516,0.5650323629950417,0.6783626836621666,1.046323423575286,1.8641263620756696,1.261676658621096,0.8407760240538475,0.6005729139582907,0.652750627175427,0.5896482579459826,0.5933686502675893,0.5190840063576082,0.4931203245149141,0.4686508069124984,0.47987809174382645,0.4894595835668413,0.5851620911653345,0.5329052279699785,0.6292062443709231,0.900514287197916,0.9142515627740699,0.6569951173636505,0.5378379467769838,0.4684055899025469,0.4874279385842757,0.49913622050339196,0.6086760480681349,0.6051472758943042,0.807373297616342,0.6231607523601786,0.6888125864534392,0.7031875248413428,0.5300837831026368,0.5105294865568109,0.4830599553878695,0.48527291854117577,0.6222731273068032,0.7143322207244749,0.8790541142160856,1.2634595317182493,0.7724689129955759,0.8444334781386897,1.6733979554260396,0.8842367609667103,0.8589779033919067,0.6220703441521684,0.5473466008379767,0.6789618571481647,0.4565097109762701,0.4545704492232719,0.524732722561984,0.5228684635980024,0.6109892600944646,0.4951672843231658,0.4947525842444643,0.6352164517008222,0.640043349453688,0.6004830922056638,0.6335703728703982,0.8238675414961595,0.6865434865788139,0.6966512357171343,0.7988638631565094,0.8367755144782126,0.9190914064698872,0.8660526309738426,0.8419318746103409,1.0665349598015526,0.8855560410373801,0.7033931032009755,0.8481160817040161,0.8846148849016756,2.1641220567446915,1.1406904952720416,1.6597218754783265,0.9007001263335852,0.9752368139580757,1.0103847029805282,0.9834018808309155,0.868022518985825,0.6628679487920065,0.7519813065474231,0.6847778957344192,0.691089851937471,0.5639317516785565,0.9623691906122467,0.5356196497774364,0.6384144231454297,0.7681812051203573,0.4777762368033489,0.6144229910250029,0.7458725295544101,0.8853063353814306,1.1499496382983525,1.340771192174864,1.2793381844772462,1.068434436059562,1.1071097920692834,1.3242370781632844,1.1581247096083518,0.942924715988359,1.1948453393714893,1.2338047370920682,0.9694190493249164,1.1100205081193768,1.342634506256353,1.2048709831902504,1.0688013413574051,1.178098545586284,0.9743155987891828,1.0169993399454496,0.9396243739121657,0.9385398015587794,0.8934123801248269,0.7567344521638429,0.7715659525355817,0.7078867010444067,0.675313779705266,0.5983768545739921,0.6432388841426467,0.7247915968892543,0.6429788844506364,0.5727530440671924,0.645118103776413,0.9833137200203351,0.7853035283402697,0.7796557199080605,0.8932626485430186,1.2008176388890945,1.0674226727767573,0.890321656230359,0.7419523543202137,0.6534729312804686,0.9632267236647649,0.8626312352666292,0.9203910907252963,0.9489539564265989,0.6763725350340776,0.4953760677534579,0.43030877920676003,0.4760315513587992,0.49693963821204745,0.5168555472458037,0.679453460973771,1.7002874997080235,0.5066506814512205,0.623564649825128,0.7477634666521927,0.7710797058546875,0.6215548915712101,0.7526953377545241,1.0933443938410163,1.455324403447277,2.1679727195202343,3.0266511619526515],[0.7594150687825114,0.5814951620360401,0.6356214938248057,0.5092890476373597,0.5648364054200462,0.6096522910085183,0.5599258297834381,0.6766357648336654,0.6012440480144529,0.5434433245193147,0.5546339815188466,0.7076879815076338,0.5968446899119328,0.5507174661537502,0.7133883594789256,0.7024396537087659,0.6788931467946725,0.7579103037278853,0.8045251086742671,0.8374569736668809,0.8404790497263221,0.822789530874405,0.9756154171383199,1.0806004668954308,0.7880024357092636,0.7985808112870492,0.790369140085401,0.6899118895701031,0.7468205929798063,0.7346366245472916,0.8030280844491984,0.8116892096957854,0.9726239607124553,0.90758990776929,0.8246252579355067,0.7759484952977672,0.7906421806426296,0.7796116907329006,0.7473518509515873,0.7486127018705896,0.8591744770266153,0.870510791228255,0.821246726421278,0.8484255681963797,1.685220607771587,2.285980273826692,2.0512953620378114,0.9042228114882159,1.0456276645550757,1.3502043879989762,1.0369684300311146,1.787218178796139,1.409391527695907,1.04840700023949,1.8488066255620268,1.3350939836520754,1.7892418905056375,1.0510052396713803,1.3145091533180573,1.1386164846178253,1.120713937401313,0.9662943161637135,0.9352141305901521,1.327357469006717,0.9663619620628123,0.8428882364206932,1.044689219368954,0.9216483074237436,1.0202181827045549,0.8643933208555571,1.1799108960800033,1.722119316714556,1.1383262279945852,1.368664675477011,0.8987116713439423,1.438060002052293,0.9066425594582371,0.9246073922988081,0.8671434376273359,0.8731215749680508,0.8750594638395008,0.8621241003365535,1.2529814872890357,0.9221889926547103,0.8169594333617832,0.7850175626179504,0.7808878211025208,0.8856560444497065,0.8018601088766305,0.8979829962630069,0.8830025264983677,0.9965289566387061,0.9197441557497751,0.9023374856674802,0.8341845206093509,0.8668241078583917,0.8311846122693897,0.8505433555274701,0.8689056978670681,1.1591430408976866,0.8971034161775135,0.9939445518495773,0.8699509277038345,0.9359721925452196,0.922669999451717,0.8406189729786121,1.0807512913455355,0.8631286485171652,0.8143452028614405,0.9796227879708368,0.7191577021337043,0.6575124987214895,0.6137373001391812,0.5934446713517797,0.6045046472069564,0.5749978217521323,0.6127832968919957,0.5934268281500936,0.7286262737665529,0.6830433301820072,0.6246727591727558,0.5778891811771097,0.594872002513758,0.5534139739660213,0.5245777335899298,0.5295820160776308,0.7023428872068956,0.6119165048506527,0.6232868498610294,0.7469299194964704,0.6547593959245421,0.7472254554971618,0.6608943723958489,0.8959429654962262,0.634239544432581,0.6300969534448866,1.1639034515202125,0.6254604847826055,1.2268691561178937,0.5958348884927545,0.6083652322574339,0.8315910247683812,0.8043715879953459,0.6287128658341424,0.6461883089237762,0.6745522188241372,0.6027019231140422,0.6468167684998758,0.6809114390820973,0.6871282217045748,0.8017624106414891,0.9063837420150386,1.2296262404406597,1.9637268441330866,1.358014982793457,1.0346843439574052,0.8213359804934338,0.8750372785172795,0.7944228319607917,0.7847621365839101,0.6711876348607273,0.676766479493224,0.6148788205080269,0.6674838962783896,0.6741092836052893,0.6695234893382941,0.6506900924432039,0.6780248908948082,0.8778149577573219,0.9107833749932224,0.7114888647695822,0.6401597268386038,0.6167760962912067,0.6535174435412381,0.689914037390265,0.8291809510085404,0.817790582772039,0.9852745056069927,0.8223283370689013,0.9049089185863279,0.8314071077230463,0.7307420539707643,0.7285699996405872,0.6858558029614965,0.6495415573836516,0.7960944033582995,0.8335931638140199,0.9962590062823194,1.3038735669577426,0.8380453475291033,0.9246324469942198,1.6696887141733172,0.918197362644376,0.8823235711378367,0.7105623252614969,0.7033782159348542,0.8296102076676247,0.6706432261568812,0.6463952080204998,0.7454632224497323,0.7570355140158486,0.8320862776091549,0.7377797295623048,0.7091222207452943,0.8389790242433365,0.8349676994458767,0.7378908986993185,0.8061915230204453,1.0003747684802984,0.8558061000672145,0.8583375936286428,0.968172625364145,0.9943868589489534,1.0566229750485272,1.003669525448904,0.9509891030174299,1.1533107124582562,0.972350932437351,0.8698151992869493,1.021534873395338,1.0681983172873384,2.31929567246695,1.3031628640074695,1.7344938465604232,1.097470784063132,1.2101351645538956,1.2065503412810228,1.1799764938309838,1.0976240912081212,0.8829768699529198,0.9502943410101088,0.8676104768532494,0.8458269687964222,0.741849610003747,1.1048468703205527,0.7173890264312733,0.8190077809431145,0.9499069691694041,0.6959285733391732,0.8245561769272913,0.9142343650622515,1.0416405998936626,1.314845034400508,1.5248173997965486,1.4623130948401812,1.2195212514621268,1.2954290575458043,1.489977689584548,1.324356239948164,1.1305534096826484,1.3541398288338864,1.3734193647581086,1.1505231347882647,1.2781068890951537,1.4834608996836491,1.3377938630704473,1.225456514755048,1.3368383507162518,1.1516479094603067,1.197842298696682,1.1382955821101506,1.1346429579532344,1.073589863169727,0.9424447909978195,0.9834825512745758,0.9180645246729612,0.8776857556938775,0.7889120814635088,0.8575361422169864,0.8558303160062579,0.7617449095633346,0.7249861463051421,0.800263002361324,1.0559263883062582,0.8431905501936765,0.8364370879013625,0.9365674936525396,1.2207373624115183,1.1005312285225701,0.9268629353652146,0.8318241292848537,0.7574282963110209,1.0085087440760452,0.8987559099806037,0.9360224322917847,0.9982120800434914,0.7885708989544843,0.6570438880154211,0.6281472030915151,0.6694208536925279,0.6758522942230214,0.7708372556780962,0.9283542727812544,1.8660293271059143,0.7361395913233532,0.8647183229111962,1.0294470398067042,0.9543902889876723,0.8186649122925602,0.9472454581368912,1.2545586808378448,1.5505184955789173,2.1908754413038625,3.1102280839404024],[0.7004998981865704,0.5182640290975176,0.5838366150444535,0.4675991264899522,0.5049993560635405,0.526531362771261,0.46932178842609806,0.5482855717142057,0.49424253373841937,0.44087032834393874,0.4575930973998392,0.6124892309340297,0.4944535297196141,0.45932068093603023,0.6390757822900309,0.6211700562770832,0.6151069587011205,0.6981234737045091,0.7657165050131011,0.7897973986951375,0.7925360497139212,0.7681116284497744,0.9320742960117403,1.0173659407676763,0.7545389994952972,0.7643759920613659,0.7330770175634914,0.6295139632304168,0.6735066272113488,0.6480584491179718,0.73214244473905,0.7148694846544662,0.8608761308191647,0.807257893979621,0.7340373348292825,0.697098112574119,0.690931105909068,0.7001727436494225,0.6761463789538578,0.6802728810745143,0.7998865345073649,0.831699730575352,0.748651609916606,0.8054978711829495,1.6982131516094923,2.3004818691066746,2.068451317038992,0.8525163467918171,1.0158374314771121,1.352426497092668,0.9849213260744404,1.7385535983135336,1.3237471861038097,0.9808872055614521,1.8084478218350148,1.247039874754388,1.7118891863117602,1.0304462278938156,1.276159599813354,1.062258270268378,1.0908418853992439,0.8966437265461534,0.8557706981851703,1.269886377411368,0.9182160860674333,0.7835055304653422,1.0231136150221656,0.8802855095043857,0.9853280931846876,0.8243206882538936,1.1648622591687823,1.7185924258304994,1.1004023987140874,1.3272176018078827,0.8471272626366457,1.4318650841542144,0.8325593058324826,0.8380362916887837,0.7856246870998317,0.7980620720166427,0.7875623304258461,0.7712003419582089,1.2376071294545758,0.8470223950621552,0.7391292760689926,0.6991969741911399,0.7007171061832024,0.786492302964876,0.731037777907149,0.7938939993353302,0.8058593395484619,0.934768812919335,0.8478976744411473,0.805390850325804,0.74307370793105,0.7784680444738001,0.7416576372515881,0.7424978545550821,0.7425152233425144,1.0583617577780096,0.759161569126864,0.8611984826207031,0.7366160118035375,0.8116924280534205,0.787009940860181,0.726618432739984,0.9596462791600819,0.731157631078355,0.6988131670245158,0.8762201407670074,0.6084514287078974,0.5421622468620879,0.49911962632870804,0.49774347889143733,0.5208331847389557,0.5188791313405442,0.55503573671438,0.5578330846544168,0.7195527796529182,0.6541905184665122,0.599276050735696,0.551640208422371,0.548600157638074,0.4630978421494326,0.4382465201950218,0.4457756301940478,0.5918935335291449,0.5084913859440972,0.5268193016810045,0.646875409438798,0.5702711057536115,0.6420413255640265,0.5760108800794397,0.7986257629347339,0.581812792027143,0.5931264669525462,1.1229879374159588,0.5749267670037643,1.173032626382985,0.5487979800145938,0.5853505176237848,0.8135059520939931,0.7804260515588948,0.5847034059941396,0.5835643286188572,0.5974569429910941,0.5309666907192729,0.550291718083292,0.5753933679223783,0.5784370318111606,0.6656533036326469,0.7843287836964585,1.0906714900268346,1.8641877098462343,1.3033037798649352,0.9148545183586395,0.6927677343113036,0.7498837932919484,0.6787608554991272,0.6638294635736809,0.5861392065080149,0.5904320427950356,0.5544441751634593,0.5861566873813848,0.5922177048652034,0.6235015858565522,0.5827130455984998,0.6308572809112213,0.8301189480010961,0.8790254019014747,0.6573066866284353,0.5859393175848784,0.5512789120548529,0.5682382466003044,0.5875196351150492,0.715499831605394,0.7004303340018722,0.8800489432038676,0.713791904448955,0.7965568957563252,0.7550084417139864,0.6141488447260551,0.6106781877045645,0.5698619635980079,0.5526447795534118,0.7008202099743722,0.7595354431399104,0.9488398008384222,1.2543317126599367,0.7806873588626362,0.8617885840238009,1.668767061802068,0.8945754606759502,0.8714905095191241,0.6619063640547055,0.6402377420721925,0.7475577623913565,0.5870632433097686,0.563604407057411,0.6531146775033617,0.6530726392197266,0.7352911718716852,0.6340055350397649,0.6184860603012622,0.747827460541963,0.7503569690242986,0.69799476812696,0.7268900015430688,0.91054532241485,0.7756229441392116,0.7699332444990397,0.8608829986483428,0.8989815559823838,0.9783281458678031,0.9083095512813985,0.8881135700340632,1.08431208050235,0.915245437043772,0.7696150220047985,0.9228217042526996,0.954186270698755,2.274510930336097,1.188718017337681,1.6549178014556614,0.9892066155373027,1.101007772693634,1.0990188672577472,1.0647897404671953,0.9827863682664972,0.7654105979770511,0.8310248998636386,0.7644071976815661,0.751502620601719,0.6290786397892268,1.0222794260092516,0.633562405044733,0.7101318077333908,0.8751910860112497,0.5983744315053069,0.7391913638348347,0.852029293301102,0.9425117016115718,1.217102612895346,1.394557456632199,1.3469071793148604,1.1331959232207522,1.1852574216141634,1.3888656235494552,1.2271757134548322,1.0348395124066994,1.261480468277116,1.2930325498293307,1.0548205163781612,1.17247685954924,1.3887694027159219,1.2436499289252607,1.112130733669646,1.217089186209499,1.0402545056966261,1.0787249622769464,1.0249822688647594,1.0233069005566604,0.9611069093309513,0.8416080047379685,0.8690019588031709,0.8059298012391735,0.7678947331635287,0.6872320347735961,0.739081248015859,0.7634376402191473,0.6729471244743132,0.6283360155214772,0.6931408414106472,0.9758388309683543,0.7760133558282672,0.7810666313844281,0.8920174283569415,1.2182579228942878,1.0321450905749692,0.8936611613388475,0.7920910698457947,0.7002437766247261,0.9331178564711878,0.8286996626878282,0.8618772353973151,0.9313731037009952,0.7055548307084755,0.6055390908568657,0.5460220977397143,0.6090254501119048,0.6188656411849033,0.6556041546347756,0.8045902958964993,1.7498257815929057,0.64049182972012,0.759239623855176,0.9053528001381551,0.8151983191336172,0.7362256145982078,0.8695638683516548,1.234562924217681,1.4880050410268493,2.124957970443204,3.1207431663576313],[0.5457677645906848,0.39757453023823563,0.4855708004929096,0.3605624493386594,0.3546171070341257,0.3760091009358896,0.3270106469625008,0.41080945049165946,0.35941334277442394,0.3413075963760377,0.37750589731908696,0.5402061813689929,0.42226005039509246,0.40225066432880946,0.5796050925230714,0.5743473139110525,0.5679340650249151,0.6586061105781499,0.749975838762157,0.7532524834204247,0.7656406969076268,0.7491384559956819,0.9302945215235858,1.052500831558442,0.7454336100447828,0.7553654700713545,0.7066715115390466,0.5844786916139908,0.6240008192760388,0.591954136890606,0.6911350996283581,0.6583698619186167,0.8351276459351672,0.7664141724719001,0.6837237176574975,0.6497067042826178,0.6292848993237796,0.650699983232967,0.6211710802753979,0.6268332817416236,0.7562107814740301,0.7929275337947671,0.7254780167972431,0.8364287158503075,1.791979306740295,2.3892599839170616,2.1999736184727907,0.9077809815475048,1.0267459466811077,1.4186211233132098,0.947191335729573,1.6607110389070359,1.2526471053573915,0.9725014594423494,1.725801872530142,1.2064816394893596,1.6345300302292929,1.0392666264398824,1.2345806990221213,1.0424491294542708,1.0845155459992233,0.8667913282729668,0.8209568795437134,1.2389864114825788,0.8913977781849642,0.7643771560428327,0.9833346430237979,0.8190347391676709,0.9543822518886197,0.7783456333738985,1.1326459354512863,1.651051167800968,1.0266088445106176,1.2773919290234033,0.8072197401061155,1.4259938517468227,0.7990949442874222,0.7928373434482034,0.7443080750195599,0.7490348570921023,0.7360589286901879,0.7059807082215355,1.1972628070528863,0.7624109199630296,0.6916292252700332,0.6325378190003518,0.6458575986229048,0.7417699062529286,0.6953620464337756,0.7508276380661255,0.7691298027123712,0.8990759065970373,0.8076383528046281,0.7674176751950976,0.7033607844778833,0.7394145434268774,0.6909928467362892,0.7101886294771927,0.6854485087107045,1.016023570413983,0.6899550742479402,0.7814053060777122,0.6503515220394125,0.7035298466862833,0.6644318790525715,0.6028519006780441,0.7899166203950901,0.5760703595478787,0.5496388758883409,0.7325454188658311,0.44953820837020414,0.41425183684120864,0.3756645654525381,0.40479121055006034,0.4392600395714493,0.4623159257608654,0.517681219029607,0.5310692834232464,0.7140907881584755,0.6260468162821692,0.5813938318067462,0.5180557330003998,0.5231654222442775,0.3970815038329595,0.34429006965160364,0.3580035121569224,0.5005305390482515,0.38644320568897655,0.38629872532010745,0.5326205695883662,0.46080518999097203,0.5113563771932024,0.46604655042692616,0.6666208016783434,0.5086666088989801,0.5097645069335475,0.982350198918449,0.5440939633884412,1.212805619690343,0.5219425893356832,0.5630790615552728,0.8164529451674443,0.750572445840697,0.554538014674192,0.5439013691953996,0.5356805266714898,0.4638962221192302,0.47285610095243397,0.48175101771440476,0.4835097328590428,0.5615378972955368,0.6923017504690051,1.0111871912093229,1.8439083133154255,1.3226349447036785,0.8553328323805939,0.6177199923848559,0.6574859001624914,0.5942618857254847,0.5835419996712353,0.49698120607765117,0.5119131664594989,0.5002565604062247,0.5144714387026448,0.5234646479359147,0.6059882070995024,0.5443679076150966,0.6074768738205262,0.8282318714804051,0.8917367434331052,0.6269871096953087,0.5405455099210795,0.48176689594644484,0.4879079263087955,0.5119914487006676,0.6181725373652118,0.6175835995117249,0.8118487543503976,0.6378693404182826,0.6902268039920323,0.7150133453115867,0.529179595478007,0.5266376179290875,0.4956125643159202,0.4867075981672241,0.6568129631361819,0.7264533245620869,0.8949241936855341,1.224253938489655,0.7533728829632104,0.8855189901821017,1.7767876491514554,0.905188944810538,0.8656259018742591,0.6173821840824022,0.522111220091462,0.668855645160702,0.4864464514501287,0.4555303371003212,0.5181043161032003,0.4928985426010965,0.5875184644814845,0.4745274586074024,0.4751712720295642,0.601992497297512,0.6235444770659666,0.610928083739359,0.617915956671544,0.7883080644032681,0.6830183786382019,0.6864770177520386,0.7621605487480346,0.8197644818414853,0.8968771507814232,0.838751634668364,0.8343059599670825,1.0205439856514122,0.8435544821372716,0.6797535760811713,0.8024145866949197,0.8275313113099144,2.1324912252839416,1.042090798892662,1.5781966533696428,0.8422918916612662,0.9281029809060848,0.9554885237983919,0.9329223431709484,0.7951907108559707,0.6070750263217128,0.6928359979334133,0.6474510294859049,0.6265062262017163,0.5092924701126181,0.9779667730042,0.5627815598341334,0.6201568682044732,0.812744957052083,0.45990274919110274,0.6281901050446195,0.7374583857640015,0.824820748025602,1.103947339497069,1.2675589384238684,1.2505213928864625,1.0222909454758904,1.0410046625636598,1.2699977659692603,1.1055286115978074,0.8976798630644233,1.131683096787654,1.1795538208388572,0.9345572847380144,1.0399157931339444,1.2709067775677998,1.1557751388331496,1.014659709529022,1.0981855090964034,0.9168397274080381,0.9369073053423187,0.8640288240760253,0.8611802134810805,0.8204965752611096,0.7038936087060215,0.7107986750200237,0.6540449864594697,0.6330031825418994,0.565876529587429,0.599451313585015,0.6754288198969739,0.6185414551980131,0.563832555391023,0.6072816582797601,0.9555953022240941,0.777722478369026,0.7469436297396345,0.9012595887026931,1.2385205759015077,0.9888543958168026,0.854988628192102,0.7358507671214015,0.6320679733644688,0.9068451120697292,0.7952893824793537,0.8623988998441146,0.944483305879125,0.6464985456188799,0.525494825620848,0.41830390633661607,0.49746822654987843,0.4855509929154534,0.52325751338601,0.7157419870802937,1.7174535399067052,0.5249886697615047,0.6639297410025289,0.8209079175401672,0.7249024469020555,0.6488919232196907,0.7737644937258127,1.1913504077188297,1.5004862097431804,2.1688306590402195,3.249702660526985],[0.5180165923376806,0.3709501943934128,0.47854067144856044,0.3652234878330431,0.3534352725716441,0.3686002887904908,0.314518260391943,0.3783729317298267,0.3342757836917626,0.3287607070521011,0.36087342456089017,0.49895547142343577,0.40653909623967205,0.39584470556787676,0.5672451065445094,0.549127089632132,0.5508098644889499,0.6325972578909671,0.704204280562858,0.7129103940760945,0.7105830395376206,0.6944252841765648,0.8550284447847353,0.9614528706463891,0.6975320232693861,0.71136954906727,0.6750815519069964,0.5694766066853107,0.6047015606645136,0.5716185197699816,0.6387495548541711,0.6081578246543504,0.7519619290130424,0.6918036300788403,0.6206634804164903,0.6062827295678046,0.5906984982144953,0.6214283817733977,0.5960282423108413,0.590406626520666,0.7487599907145844,0.7494407090938279,0.6746817527873269,0.7948030888886195,1.7564102506534591,2.382267179063885,2.2024002934475475,0.8847560502793476,1.0258074686234637,1.4386651542104123,0.9322103812088449,1.6736876872855735,1.2240025145424307,0.9556398600527151,1.7386658646785131,1.153593563756069,1.609254265039021,1.0033387153252538,1.2107465236658075,0.9972189719936945,1.0325011908567532,0.8064453613247785,0.7649260157665346,1.1153490787976683,0.8036948548955087,0.7079829308779836,0.9302184347699101,0.7623765035067331,0.9029240593989927,0.7424796935087786,1.0973715928639824,1.5875566602346793,0.9812077097973716,1.160612338131034,0.7392683754308755,1.3484238536123947,0.724293974008366,0.7091017023693974,0.6710723535677375,0.6855232962104972,0.6795344777638139,0.6546202096113679,1.1633205266472921,0.709582911103705,0.6784833779322151,0.6018340794490407,0.6110111253870485,0.6960988750594892,0.6409825607744241,0.6785433367344422,0.6987541538774504,0.8337800922026937,0.7377691573377552,0.689687939771501,0.6509137046665859,0.6840794399736736,0.6448695344459527,0.6534355065953055,0.6277082950152572,0.9273572155322791,0.613117688217161,0.7025227544150503,0.5869895246281787,0.6493976244257987,0.6168950847069196,0.5689833252230312,0.7328582279766461,0.5524214095700882,0.5318510427471355,0.6867346652331368,0.4243552786940731,0.3929984800757676,0.36003065284926083,0.39602596045370947,0.4330009983498314,0.4526942848971856,0.5002531482858138,0.5015228041906462,0.6437790375460096,0.5918252066642148,0.5407239801291929,0.49709846144619907,0.508042100905095,0.3939485445540224,0.3369161814202437,0.35240262415859186,0.49562212532616595,0.38341207241193204,0.3806803702507686,0.5061964807542707,0.44113747949495696,0.4766065570089757,0.4527971175629967,0.6402724015038799,0.49806180209833906,0.5070927232577139,0.988973838703061,0.5304508512641457,1.1964185836833685,0.5032571479013881,0.5436257439134686,0.7652960896509273,0.7263801062734024,0.5408410214037487,0.5292752506092645,0.5266734416594829,0.45092801581110925,0.4630235185354014,0.4639013590756471,0.4634354564454556,0.5241678072803352,0.6497444372166243,0.9396158269230663,1.7749456713578449,1.288170175119844,0.782615730776102,0.5588823228091571,0.6051214582285454,0.5523842196358442,0.5555994279879515,0.48818784133592663,0.4943834087445436,0.48965794044093486,0.4989066345287646,0.5148568153777178,0.5939621487239515,0.5337923271762296,0.5977997838028558,0.8196159313976565,0.8782795313878864,0.618175812197614,0.534956874580504,0.47897085466875405,0.4737465099675522,0.48885040287637466,0.5771157569417675,0.5780151872475858,0.763419921792675,0.5981953876834202,0.6411203517204423,0.7087940906113449,0.5077638739095605,0.5072118398334995,0.47603362251227127,0.4696473452307258,0.6364831559744798,0.7137166915798825,0.8754255576444129,1.235614848827124,0.7543395152841963,0.8654935469385464,1.7555285363705695,0.9011550491082605,0.8687175536291931,0.6112305461168209,0.5146824541012945,0.6633668026365358,0.4680285362981595,0.4407755559139415,0.48885343531232894,0.45688502222917937,0.5370498191573366,0.4378818089756355,0.4529519967952001,0.5574568436506346,0.5851311950401864,0.5967378240672274,0.5913042494851197,0.7298235103198418,0.6583405343693745,0.6669584142065011,0.7222983367303051,0.7799763076603895,0.8876073766864743,0.8205778705399184,0.8313672338427911,0.9806105266435097,0.8352097050711249,0.663828171264539,0.7607401923146433,0.7785535511479137,2.097951122702525,0.9941116957324247,1.5352599177731994,0.784726524435047,0.8605278699920229,0.8945826818341117,0.8879710407183613,0.736995928170029,0.5673858021003984,0.656868455315321,0.6265057887552783,0.6008712950355348,0.48969094752851966,0.9608020308782285,0.5580040408227441,0.616889459500568,0.8104018699571252,0.44502320935409634,0.5957400295245421,0.695991609576003,0.781057935437826,1.044035441034826,1.1824730580904823,1.1728721542143326,0.9568095132850347,0.9527318390311219,1.18374065137067,1.021583750441104,0.8257420394150103,1.043516155281824,1.09734131702905,0.8733356946368215,0.9582445083776049,1.1698214985100739,1.0840989793879205,0.9513514444077369,1.0139277375767288,0.8410174695424086,0.848306987752703,0.7782536943560615,0.7782497943683184,0.7487557050860453,0.6480890853443212,0.6507267154416552,0.6004149668881918,0.5938903237094499,0.5357383572808988,0.5648454670283602,0.6547548684438588,0.6123559064253705,0.5573337047202829,0.5962053957751595,0.9546154657354924,0.78311335835326,0.7526770470835757,0.9159721371954637,1.2509649058124461,0.972005274451397,0.8532711297402087,0.7419184073563915,0.6376310570977326,0.9158503411072474,0.7839122621026372,0.839395788851402,0.9289832580136207,0.6387265844909041,0.5239394556421094,0.4062942024556989,0.4852969536097069,0.47163509580785273,0.4800173634352463,0.6766400656269198,1.7055277445399473,0.4907538457244595,0.6342450240012505,0.7806835865710302,0.7117322856659798,0.6329828905169589,0.7498893206565199,1.1827330079189406,1.504034150554498,2.192712026164153,3.3676922609337088],[0.5727907536612851,0.42005538776019835,0.5203951366713199,0.40500531114700306,0.39409734719768946,0.4149099784668809,0.37495263742593404,0.4636584839185094,0.40700868763053905,0.3761629447512254,0.42111173419686704,0.6151010946459842,0.45888478298933577,0.42725515858059876,0.6005252746811303,0.6003727469274441,0.5950800354920804,0.6884576939244094,0.7806118616705766,0.784492103570747,0.7845635918701958,0.7450737910413247,0.9390004076343017,1.0202050323382732,0.7733098318956588,0.7839137574320865,0.7297497969267601,0.6203762017025389,0.6581425482565284,0.6217804048645803,0.7083846836309634,0.6885345592685371,0.8528576499906289,0.7707910272280039,0.7036098437363626,0.672230301453247,0.6561071513176224,0.6852102678755031,0.658014288161477,0.6614844484575928,0.7722505302807202,0.8185834836571162,0.7408778594140188,0.8130843444215384,1.695681506542807,2.2787499374432367,2.0383075693325856,0.8599864313642678,1.0115337338310744,1.3490517161856002,0.9771802055393268,1.684018503195384,1.2863866124721381,0.9855372740742129,1.7369341114883656,1.2309324585569725,1.675903755346117,1.0540840134260778,1.2478913427596074,1.0502630221614748,1.0766168005884502,0.8566153838688949,0.8196460221982906,1.1959516540343467,0.8763536734397803,0.7590419138580242,0.9950928461460931,0.8405376142931289,0.9666767389621624,0.8098610515851892,1.1717507583598554,1.7113144795373347,1.0661444511378055,1.2457057091294061,0.807747210334035,1.3823730040743107,0.7938814571783477,0.7799543324294587,0.7473564576562522,0.7634796259334844,0.7500340743479643,0.7358390819900569,1.2205763461503543,0.8024125197815459,0.7283392146085991,0.6647537704544613,0.6718987130229123,0.767322540977622,0.7148116428170604,0.7540953301533319,0.767844404555928,0.886801580215615,0.7950645242781853,0.7604104860404551,0.7218465801394957,0.7499022437024858,0.7180443794050745,0.7486276525399375,0.7339999176239622,1.0497260973112685,0.7309028212389153,0.8193657405172246,0.6851127029962177,0.7504005169901578,0.7053729802735104,0.6255510826091518,0.7994342423232303,0.5844963516807582,0.5577345983769603,0.7482601212770462,0.48167089392991247,0.4787847181546652,0.43229775576259866,0.4414336215426448,0.47790961935783394,0.4985677096025696,0.5431411770077088,0.5684982872809,0.7195879250260628,0.6478373423026913,0.6111512784638652,0.5450164124350246,0.5369948838003776,0.4434471943270798,0.3676294650539375,0.39625388303325704,0.6217409248093715,0.42315488203328466,0.4559686016617353,0.5819441802989672,0.5047435002228569,0.5622642521698615,0.5169705838523376,0.7103141270447408,0.5456819355945691,0.5392850870713928,0.9619745439627471,0.5507674261001275,1.182580788933093,0.5359605359656673,0.6175866091188255,0.8302410618373932,0.7835066723841917,0.597899953626082,0.5811090238093937,0.5672940257098467,0.500598468096665,0.5061673873793004,0.535709262254718,0.5265606816913158,0.6141761775373266,0.7452386855845662,1.0238385409882926,1.8071288789649291,1.3672143217691013,0.8960187897085703,0.6680152159818242,0.7115058886747804,0.6441902535123969,0.6412286554446158,0.5384999567255766,0.5551044372276213,0.539651526139929,0.5657552799007081,0.5702969128476376,0.6252869552523159,0.5532831330465795,0.5912790557030905,0.7468543864918273,0.8369621456810354,0.6021471378096124,0.5535663423176029,0.5179384966040695,0.5288732448925029,0.5566104933746943,0.6634441301287685,0.6548396258591765,0.8304303242222422,0.6756423717328985,0.7366278052037906,0.721603924627591,0.5838546941583107,0.5774007610480637,0.546555180348799,0.5368654943072849,0.682797763825551,0.7411879602652169,0.9304521756752236,1.1950813752635585,0.7504419318473642,0.8683494799984434,1.7747277850457504,0.8949024286735805,0.8554378038048525,0.6548507168244607,0.5652681260093346,0.6983296574391736,0.5327360563321355,0.48658906937108376,0.5723091161850788,0.5479670482106702,0.6439040948018879,0.5327901515676423,0.5170528170144015,0.6297714828795972,0.6574306649197984,0.6378412982493707,0.641994952724648,0.7751743190269172,0.6937629320395026,0.689712174164031,0.7383303736492182,0.7945320302832891,0.8914960553256893,0.8185039831485242,0.8261907219079517,0.9663934636904205,0.818985155340602,0.6813640233947986,0.7785824765315124,0.8022675755661094,2.1567048227056076,1.0059971097716576,1.530314404498394,0.8457469500393948,0.941872347531251,0.9722596040011143,0.9876074672575949,0.8098384025266163,0.6507402749606008,0.7400363916375274,0.6990563665476619,0.6285379837256776,0.5509737952415789,1.0447967965653746,0.5915941403460152,0.6483500402864044,0.8204272102541896,0.5006599720008769,0.6808221262095336,0.789768010616559,0.8642383503033921,1.1323726355644328,1.2753057358674686,1.2785099887629492,1.0427613413405086,1.0315024505508588,1.2692689652336373,1.0941412354711324,0.8955494901073592,1.0952915757617174,1.144081145638052,0.9193358379971446,1.0044549201367385,1.201433487472693,1.0952967095037924,0.9689027287337894,1.0360552022303438,0.8776662874142692,0.8961508979375334,0.8479296645775858,0.8521126459547336,0.7978815102725816,0.7062566346242016,0.7175021796059408,0.6529151264965872,0.6351823607039677,0.5736662415165296,0.6029844491842713,0.6528563707710603,0.6201550706970534,0.5628510411751332,0.617292496881296,0.9323326345280489,0.7868100411899328,0.7521234528851418,0.9288652198628469,1.251120470752278,0.9463085618296126,0.8389912126380973,0.7494158155081978,0.6534885455615491,0.9186641184819624,0.7706603996812145,0.8102849872773151,0.8988222795754286,0.6314511853485416,0.5540607405549796,0.45798992575965186,0.5480888629823476,0.527156383555,0.5868812758516768,0.7713446780466022,1.736350997700626,0.5923847388176373,0.7177224769107092,0.8902025425891489,0.725116928659512,0.6858933358156303,0.8068311968661868,1.2554059632165915,1.538690381111072,2.17037625576723,3.4762135329944672],[0.6926659721767565,0.5583051042231367,0.6321669813156872,0.5355647467472358,0.47565549759031756,0.5247033188769756,0.4496447884629171,0.5130765286541552,0.4815826047549401,0.4243046605262423,0.4490403835834847,0.5967166908030278,0.480445205104932,0.4833264235525732,0.6282086688701833,0.6048654621994951,0.6161452916792922,0.6904655736123776,0.7702112454416011,0.7686415577384353,0.7689877275283548,0.7365371204074161,0.8966481504889205,1.0077469841705888,0.7451036387208991,0.7638843063978035,0.7292559639314944,0.6411728082342996,0.6627267328762921,0.614851019521695,0.6479552104117496,0.621665596320343,0.7277815158273216,0.6613048503830463,0.631497327434512,0.639408762684986,0.6185545898812286,0.6635658718917951,0.6562793110547409,0.6512663652748721,0.7968580746459096,0.7986393980965643,0.7326591251072941,0.7994434341081005,1.6587620264286171,2.263433848071689,2.0478968665626724,0.8736390540558534,1.0193665664960814,1.3694835752046852,0.9710601109705618,1.7202562404939765,1.2604853902684565,0.9657753764694913,1.7533801996830678,1.1659387785033928,1.6497451468446158,1.0283447660942038,1.259482104286996,0.9874357083359001,1.028473939474037,0.8371592580005869,0.792830994070047,1.0896339107839383,0.8162575178501021,0.7340348200905111,1.0005832548938824,0.8082648207617141,0.9376562707843297,0.8346476245479174,1.135176280063249,1.5768899688004583,1.0327111178563262,1.109915420271247,0.7613781521313385,1.3588862786264777,0.7396836774737209,0.6936965527999778,0.6753343506849293,0.7167734590961713,0.6983633691116546,0.6763012979651986,1.1542978767425947,0.7383090019079357,0.7200468015802101,0.6389578486598139,0.6389481012331876,0.7051020756677623,0.6666668386750694,0.6782218256749422,0.6974924270536045,0.8251361234273055,0.7215841997012186,0.6573886604499167,0.6402305793598879,0.660584596689634,0.6557540191325371,0.6642092001014038,0.6563645696104778,0.9384105565889301,0.6331839556308718,0.7316063994995892,0.6051874523149098,0.6799302608669306,0.6559647761184318,0.6167340946278519,0.7692876984385187,0.6110173877141238,0.6120010308290877,0.7537838960551227,0.5317887704564804,0.5015329904516722,0.48167910304078104,0.5026262940672008,0.53491106575157,0.5541577869743882,0.585648854922423,0.5719542308281756,0.7057606812007853,0.6385383935627846,0.6215520947877476,0.5882804196889079,0.5727597527989745,0.4786944089868997,0.43204300891038006,0.45170736095995784,0.6781625105587852,0.48153564570433877,0.49916621603360367,0.5942235597022036,0.5351151266969558,0.5703887507089644,0.5354316310973606,0.7141884477685135,0.5652397249543111,0.5596070628814542,1.0003654742031798,0.5882904477654229,1.1946921976492195,0.5493346632324806,0.5990472227286654,0.7932863333464679,0.7949808105803398,0.6160221254622448,0.608255996473527,0.60029858346219,0.5337347243326076,0.5294222581535029,0.5432469839973618,0.5376297864489885,0.6025272869587369,0.7216825534270978,0.9319589980530559,1.6888195828221948,1.3117333009873522,0.8203113388767078,0.6007168509509005,0.6435464580576747,0.5917094633416977,0.6143226740385384,0.5609747217783563,0.560659799887775,0.5619726188026712,0.5751594263667135,0.6033941780809273,0.634019397185432,0.5825888694876592,0.6162609234706357,0.7816224466158894,0.8591334412001465,0.6264453194560783,0.5713461851064312,0.5374486718562276,0.5393560557416851,0.5429216763123813,0.6202882073824213,0.6003761548956222,0.7381137699353345,0.618311209051734,0.6758381619129521,0.7284972229465074,0.5706735772415449,0.5693540758789696,0.5411448731802819,0.5364546259457085,0.6931721720686939,0.7574053907602261,0.9237309220088734,1.2113344288169436,0.7807849333097742,0.8402173302622984,1.7593507063191889,0.9113512250638386,0.8811128122129456,0.6735419554848673,0.6053632835911774,0.7561160095827539,0.5491410753090264,0.5175555931549799,0.5931728799523932,0.5889185081346614,0.6697617396569209,0.5709997304292216,0.567258147361281,0.6711913484375517,0.7040464021971444,0.6610407476353292,0.6960358038327198,0.8066823119569134,0.7656270752487164,0.7724268539232848,0.7991703021978429,0.8554163913353022,0.9762630579797216,0.895994167516118,0.9047251005837285,1.0121323172947543,0.8743726052791314,0.737337374668831,0.7971620756463847,0.8161155319446562,2.1305954118724753,1.0433727879244963,1.5587957194694118,0.8393758801709359,0.9054940621285302,0.9395199536107143,0.9805267413045171,0.799013178639993,0.6767857052282193,0.7549461260963254,0.7450768271579915,0.6888149696677557,0.5923412671866675,1.0342855504987434,0.6138679809830476,0.6857901346321764,0.8323303291779635,0.5294133564950316,0.6946159071249274,0.8124637729943279,0.8721071122024974,1.1040642340071876,1.2251836746925153,1.2209719214069517,1.0126939488833298,1.0049544473638086,1.2407966122184555,1.0640982095509544,0.9015733140048718,1.0824339605503666,1.13698303313314,0.9450784847649377,0.9997928296699484,1.1914096869349335,1.1207319705664638,1.0014827220461642,1.04307507112139,0.8861445828066724,0.8971527424335584,0.8487115949543536,0.8526831689744805,0.8009359354118546,0.7345242239096661,0.7481076329917087,0.6815303494958354,0.6718703374190376,0.6212825582417658,0.6440544758919821,0.7195124512953651,0.6913336965056164,0.611644805645543,0.6516908190152307,0.9487551633772309,0.8381451008118451,0.8114210693410658,0.9893549311841798,1.2875102559967733,0.9935102830541115,0.899297204885801,0.8083028176739802,0.7249301687772274,0.9440658828206677,0.8043265811070405,0.8166744621736288,0.8972358681981495,0.6307879873008888,0.5736602200225206,0.4940910382760802,0.5611637703942827,0.5801679425071761,0.6378843529397491,0.8122189947804941,1.7877147362006545,0.6586144306810622,0.778866088969838,0.9122257817480552,0.7991677624809767,0.7755497802514921,0.8835741452510298,1.3153080379306308,1.5715045174948559,2.180994172065773,3.5829484138403638],[0.549618821943872,0.4533737966863952,0.5406636648999172,0.4523150412197526,0.41280520107157864,0.4303177213587847,0.35686698067413697,0.3942749548588372,0.36524102939038,0.34531244344961565,0.37234898182118487,0.4936451442467825,0.4014708965604621,0.38955297564130614,0.5376718126189115,0.5411165337166015,0.5353757096100664,0.6282348266219834,0.7239624246578044,0.7130843502225508,0.7379823539899932,0.7433146764244815,0.8783361880356296,1.0496750445439054,0.7307526575438503,0.7494636332989036,0.6885758437311195,0.5845333836960075,0.5893682803190604,0.5428592826617924,0.6180240156951593,0.5586231228973312,0.7179114308103098,0.6525444922211824,0.5889877261014048,0.5885008742758232,0.5489148995656807,0.6054349021310435,0.6038839041813848,0.5887679837208966,0.7717752115561639,0.7464336943361106,0.6889210690764866,0.9375484067624126,1.9884565300115475,2.5972580023561185,2.5084569446339997,1.1016956294600613,1.1296681600612042,1.6304967207202887,0.9937147001723096,1.5795411061445228,1.1971341232009147,1.0846433914912605,1.683090796717585,1.1378250851055642,1.4836896088473754,1.0949959322323375,1.1880401201964137,1.0341195982266407,1.0639381298918098,0.8151226236521406,0.7687215590934352,1.1145698157893456,0.8238917551708272,0.7199990526276655,0.9317524834521549,0.7285381091287021,0.8785367881402182,0.725602937909525,1.0409505311461844,1.435804312825434,0.9131086287775171,1.131104316425096,0.7292352121587765,1.411502558877539,0.716796152068866,0.6827953868394222,0.6535539975579214,0.6689301030983774,0.6533042407266956,0.6143769511389874,1.1069108697857304,0.6590397709435665,0.7091885200037316,0.5733657566850694,0.5855587783143771,0.6502128712901365,0.6319563668212628,0.6456195350873104,0.6844937819402549,0.8436716989097814,0.7377015833288717,0.6797852987860891,0.6291627796866064,0.6916448267130115,0.6277720132015113,0.6320434502129575,0.5859644909537624,0.8607237490153552,0.567983735355321,0.6492030212096267,0.5384689415006255,0.578950624739754,0.5496561479092942,0.5302737218838687,0.6436048526468635,0.5727017487066839,0.5557310245504198,0.6376559707806545,0.4286967901098082,0.40462262460526527,0.38948214275085713,0.405330372803858,0.4433423045776175,0.4739466092552626,0.5243816436589848,0.5414374833357483,0.7007746573756137,0.6219245633861221,0.5896037425838795,0.5360050247925716,0.5351904489674775,0.42671023667214164,0.3697071806085715,0.3912210094922236,0.5205536483225446,0.4295752680558236,0.42301724339026486,0.49436130027436165,0.4602672260332305,0.4555930208766011,0.474256771856476,0.5952016005809718,0.5180200488970244,0.5339984432283988,0.9279169812886647,0.5515072666950702,1.2008560841682208,0.5713236567167803,0.5855520914558913,0.8422979807635498,0.7688182383134254,0.5827294059206142,0.5553281341694516,0.5363686169712237,0.4774029283597913,0.46507386340971857,0.4649325053049493,0.4630632399694963,0.5124434946987342,0.6237510278310491,0.8406823434226266,1.6726877954091242,1.2613025275430052,0.7132619015383698,0.5051342560710316,0.5469634840296074,0.49707988858436697,0.5278395953099196,0.5296709265391294,0.4973806574090306,0.5338937580254784,0.5226679378122644,0.5482368368388582,0.6455403024570439,0.5863125929998337,0.6434962433555614,0.8145875934841357,0.8683193340574058,0.6238970539181325,0.5609156929439514,0.518919446732828,0.5081257404657067,0.4914092027956569,0.5297113049454534,0.5333597011566493,0.6790875904479082,0.5797191510169101,0.5732520317585524,0.7472220647332369,0.4884496599378696,0.49725409738134146,0.4866775823282438,0.5101296228131609,0.6853997708946753,0.7497546759020666,0.9087614935117907,1.2771725443796713,0.8368679276050828,0.9980922610845195,1.890681460496014,0.9803279126085928,0.9487761426242133,0.69030330565236,0.5742483393110965,0.6654902155411827,0.5145832407238562,0.46389395642693576,0.5073282580816794,0.4525841136389582,0.5073364578331223,0.43693736086283813,0.4553076069378029,0.5346811628797822,0.5807588565354647,0.5826235211948901,0.5969012361372988,0.710526224896515,0.6803186856157373,0.6914279649158074,0.7401314888933628,0.8144317963128256,0.9077445243750962,0.8746126436808189,0.9127326497029591,0.9925616133574289,0.8852355875969357,0.6989047963417698,0.7522731374357515,0.7570284048516059,1.9693965997860052,0.9771153589499749,1.490024238027298,0.7315966808413132,0.777405904549826,0.8332766138123212,0.8295563385927355,0.6780660492404617,0.552902222835855,0.5902842486141794,0.6198543796879556,0.6394823491448519,0.5091554526303229,0.9797670126753237,0.6332948877455974,0.6660602906911,0.8640110109682015,0.47267622084500766,0.5928600643106476,0.6506231120653354,0.7241271850872929,0.9698457886711971,1.0717289951385074,1.0828669269147797,0.8738549260442702,0.8613658861585298,1.097373665698272,0.9345327868793952,0.7628524864695939,0.9731266761613367,1.0494753461282296,0.8361560992090002,0.9042869530566088,1.1199200199031263,1.0855077686564023,0.9566194962038113,0.9875988073963372,0.8133826961372352,0.7938244021334345,0.7028012628058824,0.6988424567214236,0.698882468715935,0.613828906459015,0.593807387055401,0.5616375592378136,0.5765496961312576,0.5212027224328679,0.5487806819187767,0.6921478105895494,0.6523796319763226,0.6126103452867513,0.6523730103804366,1.0311383516184516,0.8826748003212925,0.8450724549823997,1.0595340474082267,1.3347919150829062,1.03277873461784,0.9204757732837322,0.7917128789382468,0.6967094854374961,0.967652103025875,0.81264947044158,0.8696954765255499,0.9620221117007297,0.6388904984230024,0.5227129962228393,0.4300959386928531,0.47584309929759366,0.4732355543945776,0.49345552220288685,0.6586972249848562,1.7079436279231848,0.5278301242757705,0.6343951144288181,0.7700467659557774,0.773212637914069,0.6345637331309013,0.7532067566864786,1.1665482548184085,1.5456410382962653,2.2359924318916815,3.469832419276106],[0.5100102632188493,0.44109963845660927,0.526482056198075,0.4312899057609054,0.3949910362040703,0.3887527298037782,0.33316774831844337,0.355779566903178,0.3419128811673162,0.3316211647498364,0.3507706229724557,0.4537417831408285,0.3874704436352187,0.3948234358351506,0.5401244982854786,0.5254455266021149,0.5168637060131722,0.6015103919603507,0.6985317212774074,0.6828444566454537,0.7126018682761662,0.7475417854251741,0.8534024206389639,1.0445888456965122,0.7241365120557661,0.7362290517237643,0.6682042183113108,0.5758197208802643,0.5717989156192606,0.5305402371453367,0.5789843266322113,0.5194325041585425,0.6622191827784769,0.6161105650300169,0.5477235458493385,0.574497399849835,0.5132496868358121,0.5878887336817761,0.5954901841846253,0.5802048256228334,0.7753580507997925,0.7218295993770383,0.6726417829014059,1.0186410015467968,2.1258192658191843,2.748524168286529,2.726807587104079,1.2620043491394963,1.2336652625998352,1.807275496541012,1.1084448118137422,1.5932177462329047,1.2517371532367025,1.2561466310128573,1.7428291059532937,1.1121264319599307,1.3937510335874892,1.1742589283998925,1.1777165375045107,1.0653873164729895,1.0715498834322923,0.7794180855945644,0.7280411193682786,1.0323700407841205,0.7658210297892815,0.6818952806237928,0.8946870036130152,0.66537566471753,0.8111228414669113,0.6869978169722486,0.9551488774574348,1.2534980148633887,0.8448340921321056,1.0494921408485334,0.6833187834280169,1.3721303522680406,0.6705556055662696,0.6370740660477658,0.6189617315235655,0.636424779148379,0.6137080478307305,0.5820751970187182,1.075411455456315,0.6347766025691756,0.7076357578457361,0.5561835365354333,0.56487435029136,0.6093583252755856,0.6093030978294812,0.6170726309810922,0.6518319073372314,0.8051488895615401,0.7149042654880197,0.6523100751830213,0.6021325676254846,0.6890757461462658,0.6217343833988311,0.6059061024983494,0.5500186250457844,0.7984300161502277,0.5211345038529452,0.5918843767216856,0.4914069469811329,0.51867826300651,0.5114933535431079,0.5103547266855512,0.610711494236682,0.5836932061453844,0.5616173670679364,0.6195168574121134,0.41543090163893565,0.3874249757462403,0.37749792349319256,0.3838158064482008,0.4250162334800857,0.46723331814685176,0.5167093894703103,0.5427835200602033,0.7024476843333283,0.6144960973470209,0.581670150428395,0.5284566073207675,0.53806134881723,0.4211897678503508,0.3604183000196671,0.383998729441951,0.48408956013737287,0.41680343182989527,0.4291816116964309,0.4859503876661649,0.46349977319374824,0.455037124107601,0.49448148148927856,0.5769992450445319,0.5312488071826598,0.5532828355994237,0.889644731012245,0.5628353892568467,1.193768215131789,0.6029347523242018,0.599056158161256,0.848547573021332,0.7692879505838188,0.5887159477927352,0.5547749866157939,0.5341915828625571,0.47552799733544676,0.4547019380284795,0.4413792704536693,0.4364075436945469,0.464146953728547,0.5875578624546896,0.7763793599383845,1.6068539166164368,1.2512483242072132,0.6587482190323108,0.4615743600944278,0.4909114013628911,0.45225334029176933,0.4851800384569801,0.5296209742034318,0.48573417754669873,0.5404736994735632,0.5195402866633043,0.5551567712109903,0.6733751813221117,0.5995851537517902,0.6689665206224934,0.8318277915332015,0.87484695186428,0.6346805260606951,0.5825598233971812,0.538585909900951,0.5126860160599652,0.4940262721319999,0.5046401701552452,0.5180428117621082,0.6335746025626932,0.5754105147538044,0.5238940186251766,0.7953069107480644,0.4626273554216955,0.479166060338784,0.4946795530904128,0.5270307514414282,0.7178383129174986,0.7889475540568675,0.9425988671341612,1.3342691585437532,0.9001628580572199,1.0695640226468008,1.9538729927851601,1.0375700345619694,1.004744864690838,0.7205802465361484,0.5963388099843185,0.6508548153340578,0.5288080702336485,0.4631860302280043,0.5026179756901444,0.41879207515201994,0.46084121069660644,0.4060601079685711,0.41430448709802026,0.484837701293348,0.5402177759487553,0.5573835298142421,0.5575718909754475,0.677801032098406,0.6668738797961491,0.6817598398063894,0.7216752573451773,0.8036054255987262,0.8867509338408666,0.8753846721652893,0.9221175328622331,0.9622802229655147,0.8679925345187344,0.6782912371530925,0.7221173433445136,0.7189213763345523,1.8642393236058288,0.9410487681301142,1.4678234757866522,0.699014553230262,0.7215753697934237,0.7604099952809638,0.7597948357260419,0.641493986581874,0.5165013468659185,0.5296254573724691,0.5962656474451443,0.6150884187499813,0.4877506898059883,0.9822238489317885,0.6606507371270957,0.6578253739213216,0.8969483534541935,0.4725631773081777,0.5734677049128754,0.6106216215205201,0.6556738004594844,0.9098215141350717,0.9802071954090221,1.0173655268952368,0.8135754264019603,0.7867320632491676,1.0358891915653143,0.8670149791566134,0.7040447731139408,0.9129342888618479,1.0010911144324208,0.7968947638859194,0.8507638661714988,1.07283020565119,1.0678544093535214,0.916356077772334,0.9340101582807953,0.7668215018590638,0.7376621078024668,0.646579970572697,0.6476558093666259,0.6443584559415656,0.5738663208270216,0.5644468151221355,0.5323414590863769,0.5521257170691565,0.504644397623089,0.5324962870925203,0.6905742189690811,0.6417390416576287,0.6123197087023692,0.6635631019942874,1.0582552277548265,0.9029864517991432,0.8317803162555293,1.0733664904112767,1.3250674243912048,1.0143846341951417,0.9122703712242328,0.7839114409264452,0.6847514039316926,0.9403816587644931,0.7841413190775829,0.8512173891226308,0.9628805999288248,0.6219942702527588,0.5098104380263941,0.4134968124262531,0.45115593490043654,0.43856346695100346,0.46963691791791895,0.617719500727867,1.6659974967466091,0.5159955003303897,0.6023937485982876,0.7218970969118865,0.7761213576685481,0.590642008768923,0.7322729271524827,1.1301049940383727,1.5728934636955072,2.242299368117796,3.5231199260888864],[0.4850665994147807,0.45966702272553706,0.5496021614398844,0.46726630204873215,0.4309861309227588,0.4173949632885011,0.39851745981593173,0.46899635341927587,0.4666932032729025,0.522404289508009,0.6030169893552298,0.691341530869403,0.6518848601591394,0.6420083099441414,0.8854711319467158,0.8246128251157969,0.7379048071531285,0.8141058262861545,0.8335439629215748,0.8201563211437669,0.8726929427596302,0.9166098437488289,1.0033434341780172,1.2331739064620912,0.8531686659913236,0.8483565593541711,0.777987500372868,0.7202865941140996,0.7657662349524954,0.7624700767108942,0.9016935777479,0.8201220276304982,0.9848043421735742,0.9668334484315505,0.8792373249224857,0.8534577187972788,0.7903579109832662,0.7761934482235593,0.7548432152442288,0.7529638809409501,0.8500483829906934,0.8207092171040888,0.8221384903017486,1.3150618226385784,2.451479518362267,3.035765893282344,3.1194001761633423,1.676743914623457,1.4736590221892003,2.1773203198988034,1.4826631458060853,1.775914597751761,1.5246721819740345,1.691560174911453,1.7468018981926234,1.2834177292336844,1.335987094748948,1.437332462657995,1.3111493410949766,1.247374208814704,1.2375862853577273,0.9621697915681626,0.9894355015001074,1.191842652706421,0.954387931490555,0.9093522561300997,1.0261654022565867,0.8660148879633273,0.9841857818274969,0.9272627187626146,1.010798333560967,1.237262040389801,1.0619457204069278,1.2435668205029013,0.9628704269753998,1.548390481974349,0.9216677108606484,0.9244655351094266,0.8971969113495017,0.8997037377977655,0.8693871773713275,0.7612784010083679,1.222783513975145,0.8044629099923529,0.8663832652379947,0.7490839534883271,0.77720051881594,0.8572902905380155,0.8700413468279385,0.9292150711410606,0.968980356334905,1.1042511095760426,1.0732330011915112,1.0516153668786485,0.9767335757433298,1.1105343305998787,1.0089271180420119,0.9473862787947015,0.8403832528528092,0.958582874381805,0.8002534567744217,0.7769837723045168,0.7215280019178097,0.671906405963211,0.6847737151840392,0.6486501405768391,0.6858755160289147,0.6949112173938086,0.625945720237818,0.7057327905012255,0.5144578881696943,0.5399258777191761,0.5118300448678271,0.525362595560198,0.5798039940778624,0.5703888080178978,0.6636828146794665,0.6568902282335868,0.8942939556874524,0.7766011757841715,0.7156647933533856,0.6817763704328145,0.5944633961672203,0.5061991570061805,0.47367141535963736,0.49233814834986056,0.5476273023142441,0.52653451040018,0.5404655822743603,0.5906448138179353,0.548669998550237,0.5621867800456397,0.5930695713472538,0.6563218663852005,0.6287104938311054,0.6349411227547826,0.806799778026305,0.6755461740561959,1.2263778792822748,0.754539831478808,0.6886000122104028,1.0221379428335613,0.8638139669498046,0.7103676209107289,0.6862952664445913,0.6996806325398375,0.6342519495841632,0.6441502160614287,0.6342832781150605,0.6053813902088513,0.5813209838839399,0.7018613276835508,0.8604870047354363,1.5967164243351557,1.3192035693453,0.8366359710056602,0.6930958262014424,0.6650778921477762,0.6810745859335728,0.6463950388486861,0.6928923563320792,0.6652487579413884,0.6701788043592299,0.6718891982421726,0.6784075728487576,0.7769848834447554,0.7112955007802253,0.8051598018836117,0.9176170197676266,0.9511306421927883,0.7124431705938115,0.6880964333504683,0.6613338563589592,0.6607483614305167,0.6849422270429191,0.7031160370090646,0.7297051817906915,0.8324089830405893,0.7590680939460285,0.7036319960374888,0.9420499449487936,0.6285741543727916,0.6486042008551809,0.6687444656782785,0.6853820297399846,0.8484055167189164,0.9087293767641152,1.043626147248821,1.4108756197744825,1.0435481456353701,1.2914165608218482,2.169055086970466,1.196448948865456,1.1536678557008948,0.8404367220419812,0.6793853272464054,0.6687781331023217,0.6519416435900391,0.5619779030540069,0.6078067529225218,0.4954443985388485,0.5153520576250687,0.4889462420909932,0.4830235448245675,0.5147717408399634,0.5655591755601409,0.5783414825434612,0.5868349988568955,0.6812148404347814,0.69570325023212,0.7217215736384065,0.7530235109994466,0.8248351623642836,0.9173250259429063,0.9444949002880142,0.9938669564484813,1.004951969129057,0.9137219359197091,0.7071272310983412,0.7575647960454204,0.7292037052421441,1.7250029330386243,0.9274490304137893,1.4350113184078446,0.7023445244540779,0.7057484119526019,0.7464191240189244,0.7559004117394206,0.6653272724003916,0.5562888824750352,0.5833565392516806,0.6894916661019298,0.6911739805330054,0.5862641179662087,1.0512128453836231,0.7898019586991551,0.7583504554858078,0.975678203080651,0.5735438918817106,0.6627883899913648,0.6574517859001171,0.6829607117147782,0.9219864936275981,0.9629648533955816,1.0233855489561021,0.8325642484453665,0.7812655914516713,0.9976168726660487,0.8605556036116405,0.6972000149926127,0.887838732558113,0.9876751842531679,0.7900030523125441,0.8204501503202533,1.0466244544433327,1.0724573293438682,0.8908800040051573,0.9001817191865994,0.745914396160031,0.7120933938135116,0.6402344829291003,0.6429741489474926,0.6150843028657531,0.5810412264347804,0.6010467554340083,0.5658436619601583,0.5917191994102634,0.5749865023131768,0.605653769640693,0.7770254233407494,0.7189588882452864,0.6992153483727631,0.7804034607905941,1.1785425101780613,1.000952918427609,0.8710492736613126,1.1494385758496952,1.3543548191708081,1.0211434396175174,0.942866354057426,0.8142850265205468,0.7150990717018085,0.9511181060219034,0.7875462633370754,0.8790378743328653,0.990026896424467,0.6702771772575294,0.5667084529928976,0.4980329907667117,0.5068886024433912,0.460056932119114,0.54041400295935,0.6310799503391933,1.6272441975551901,0.5836722277232889,0.6083535785314673,0.6871121382258862,0.822947490371855,0.5404279044069996,0.6778165066172666,1.0397680898248167,1.5724037194859788,2.2660673370678164,3.556321618120162],[0.4721805730228996,0.42780515101902106,0.5185237380476388,0.42286593130778033,0.3812078730134743,0.3700786673390929,0.3228537442614588,0.33914520979306023,0.34352133115754413,0.3465482864370613,0.3661541571627693,0.44295182037163533,0.405911172441253,0.420431265636097,0.5635436382947888,0.5430152208514343,0.5275553225700937,0.6099062229479789,0.6977255674870135,0.6784079511341434,0.728153939431932,0.7732165963063484,0.8749512549541018,1.1026760643569062,0.7400046552232853,0.7410720835976894,0.6593726503093057,0.5754864260366785,0.5707996985170745,0.5434626096336423,0.6026918037501386,0.5333411433668698,0.671993970158872,0.6445005039097308,0.572865571361329,0.5938938542721239,0.5283093296643868,0.5954244180512636,0.5902272535886129,0.5765512960436816,0.7713329864732538,0.716217011665171,0.6919543816663999,1.1531305611034046,2.342017537584017,2.9669893575554216,3.061542154735091,1.5195179915765549,1.368240840385343,2.0592836907124354,1.307614346375249,1.6601505124409972,1.3589022397431776,1.4601793852322618,1.8346813902358654,1.0955361248480189,1.2920084520667041,1.2821905545260275,1.2097382128146301,1.1470782881734136,1.132545263896176,0.8265804831082577,0.7786256187420265,1.0760104449488008,0.812744219582826,0.7329402731493521,0.9133229400161209,0.6800052618801099,0.8340153915102667,0.7213466303669406,0.9319506798571335,1.211785596883811,0.8619605511848834,1.1139247383900184,0.7232637440472435,1.4166643118882662,0.7070271080138378,0.6695818046186333,0.6476725916446447,0.6592178918132025,0.6274004372175656,0.5910593973985673,1.1008341777548802,0.6231796998946049,0.7000894570918074,0.561832125822631,0.5706611241201192,0.6203509830312869,0.6295378244039398,0.6397044800237439,0.6890080314986017,0.8434611985316067,0.7540859861914001,0.6801414903124781,0.6250542082455846,0.7040511796986716,0.6353567513034424,0.6121287718216315,0.5584095811572688,0.7972664926026797,0.5231508937777387,0.6072147178562153,0.4791209313522318,0.5405211313835359,0.5213977670863028,0.5305245900526459,0.6223307506050356,0.5861434659414277,0.5670457747087582,0.630768674626446,0.42275577433794104,0.3866688536038494,0.3589615384430708,0.4040676705442982,0.4351593211208929,0.44482413628828965,0.5105095089087051,0.5347224183271447,0.7241807753614238,0.6175094680201884,0.5741212471762643,0.5289943545500507,0.49921750545053195,0.40404106825680286,0.3896475287290037,0.39539476385871747,0.4290932885657644,0.4194829242759868,0.417355740484676,0.48564480910403535,0.47848285087553527,0.4733044079954032,0.5031149971835632,0.5583053489096841,0.5358428743195972,0.5774654729481414,0.8779839863572327,0.5528444242457632,1.1819081249584467,0.6617698535652076,0.5906393823280349,0.8746678611806834,0.7658050830354652,0.5881906757350923,0.5571892535417527,0.5428937018994925,0.47218394984009965,0.45852554071964063,0.4501997691063405,0.4634458311128681,0.46405038800873394,0.5676664728289897,0.7951717089880771,1.652843840981123,1.2629874306876114,0.6643718550952346,0.4733135891108103,0.5131658626108913,0.45304325652112765,0.4910400069448404,0.5240990256949486,0.5020230280397714,0.5513475105197592,0.5092882639858021,0.5516039694709369,0.6988959022842463,0.6119544286252288,0.7621547361299268,0.9471907048329334,0.9415787598909634,0.6668997564270316,0.6053517771899586,0.5541293234871274,0.5220540924031523,0.4932117439406503,0.4955913847806804,0.5105051633763572,0.629850583486062,0.5594994042918706,0.4994071319486519,0.8271368591739334,0.4620915701513335,0.48717915838999093,0.48588756302327646,0.5263292554853467,0.7235041662633475,0.804555277074581,0.9482749276337062,1.3757988129360548,0.9629244889203893,1.1758566071896759,2.012086903509661,1.1104531598900753,1.053651785326589,0.7428320440923756,0.6291957311710634,0.6561769763324621,0.5584462871410371,0.4882824433081682,0.518283155862943,0.4148150291636401,0.44230533363613705,0.4007752881688315,0.42687424158516396,0.4864679687111457,0.5317679404100649,0.5578010757835272,0.5815309684962133,0.6975258489269397,0.6885996265348842,0.7182074872504495,0.7818163017967115,0.8526104614435355,0.9021544585015188,0.9324203258551604,0.9657626676766639,1.0209719643635926,0.9311756955045207,0.7154757352674304,0.7848691938236595,0.758558804949222,1.743404131722735,0.9482931216111499,1.5026218393674722,0.7008470519057273,0.7000414368700303,0.7429320792898193,0.702784893232837,0.6348455349092695,0.5109613589003965,0.5348212465899003,0.5991109514596503,0.6501107992815501,0.5206389368120135,0.9544721368065493,0.72046441774183,0.719227278053498,0.9368718252517536,0.5057637038875131,0.5931382014978712,0.6043344086507138,0.653721749754069,0.8920869653603448,0.9771130787413074,0.994181739096351,0.8253104175387493,0.7878807988676985,0.9885430512435156,0.8745914285270304,0.7022092234011814,0.9179539860837836,1.0119478490582305,0.8160293514754516,0.8805517579086235,1.11436889368252,1.122681657568372,0.9435706573150074,0.9690101849544188,0.7985059976263323,0.7573837420736637,0.6507812741696641,0.6438381258706538,0.6736037921724142,0.5976248139861317,0.5691595110124927,0.5641491430596539,0.5891292748171459,0.546104720372748,0.579099585913352,0.7713653914297646,0.7000922333884602,0.6573371462430391,0.7392644206243301,1.165170710115114,0.975785093863913,0.8798187088279402,1.1095237139559353,1.308989412163242,1.0749921401909455,0.9462446004191618,0.8131089306833177,0.698454309940017,0.927115296417639,0.8171003211681901,0.9087190404977478,1.0016558048500404,0.670736195351022,0.5154154338670177,0.4252904212279741,0.42969088305600106,0.40407680353746195,0.4585327525643925,0.5633782132746763,1.65186685567995,0.5062477653384244,0.5597282263894071,0.6618449723565043,0.8047812617178738,0.5350453037204939,0.6659229598212474,1.0204975143758057,1.4985865756267351,2.2302459424354897,3.281588661021088],[0.46341953061234437,0.45513789736404914,0.5540824461739462,0.4708800773087678,0.4546780020313461,0.3749294565721141,0.39639687439072213,0.3896657839214052,0.4154803475051894,0.43812588380255857,0.4462060484540068,0.48627499460860013,0.4869225447337741,0.5135543882429158,0.6386725601747375,0.6068345157579953,0.6044995228302987,0.6761795131820195,0.7724716301767729,0.7508444362559622,0.8404533123898175,0.9327648496323171,0.9855713946493786,1.2514958129308675,0.8894201006147743,0.85693962755175,0.7380608575458063,0.667036936694882,0.6501960869498455,0.6168830373001963,0.6544125218174627,0.5918043402290304,0.6575291785574924,0.6703192967108336,0.6177521738460569,0.662979093607096,0.5919428579540458,0.673487488447609,0.6762886136441261,0.6695603927670828,0.8585379904572223,0.7989288499711701,0.8342956841953332,1.3962783511099153,2.6041485997466394,3.2242312839675016,3.4841665807277504,1.9184653051774319,1.6276901874467935,2.4374785961172316,1.7088234373105395,1.8854699662707193,1.6651045941441651,1.8773421478029928,2.042756694087214,1.2424796198237433,1.2912937720863398,1.5218202218140986,1.3259257222293763,1.316642671277978,1.21941750110635,0.9013756290703784,0.8587771785170701,1.0822771538295957,0.87645120563236,0.8305917477324511,0.9864209615115802,0.7067265786321616,0.8420956872660679,0.7702336142765651,0.8903708275969198,1.1280437748637346,0.880857217268312,1.0901307779905722,0.7642850269866185,1.4290165193158997,0.7362179865123561,0.7036210833543558,0.7066422780582754,0.7472933728706057,0.6599720520820329,0.660969167749884,1.0280209398631797,0.6770820297002491,0.8143135974000393,0.6477565903698215,0.6579415531444411,0.6727855794941561,0.6958803237385316,0.680727531485934,0.7201559682420398,0.8750288663089705,0.7893171873338469,0.7157539485059057,0.6689282937373351,0.7465974086115407,0.6980971924939865,0.6267017619557049,0.556335991270075,0.747358918797445,0.5438029565284074,0.5974460230806311,0.5229259276615118,0.5852499509218093,0.5529017267168391,0.5800203623427946,0.6265618633272747,0.6888549337971216,0.6466023702905822,0.6993998847489991,0.48790043074975376,0.4652867438883083,0.443497105598309,0.497304007469701,0.5196970627678424,0.5638145233545365,0.630795620289829,0.6658734442727625,0.8206712462199133,0.7096723874019162,0.7015648355295397,0.6089471460650442,0.5879310902555915,0.5310099677016157,0.4900625824343187,0.5052844297900559,0.49387713637838476,0.509015437312918,0.5113287769120265,0.6167076869376052,0.6082871561960055,0.5973199492518222,0.6768507447474076,0.6762928045777368,0.7033847624187564,0.7353651421633713,0.8954120986960805,0.7077642889986462,1.2353723303460014,0.8160724329538156,0.736152722050465,0.9474005988578749,0.8361506606127105,0.6922276898697614,0.6540053836880458,0.6268780070957976,0.5813212996969345,0.5514123522735763,0.5422924522612842,0.5227122667164062,0.533178643497378,0.5762580853928115,0.758752018658039,1.55904860424039,1.2386575368777608,0.6390865984011825,0.49588242553394896,0.5402527749963726,0.5064928391001234,0.5636208623617255,0.6259407406622163,0.6077265596942871,0.6616340288079454,0.630924646716506,0.7062610275201763,0.8369207297669717,0.7924230832029056,0.9582412947346783,1.112673502910176,1.0578274636245129,0.8113540705999623,0.7384579883796664,0.698045838121341,0.6548059979877461,0.6183535613247613,0.5690551160874099,0.5889536138614389,0.6686885561104255,0.7117867182045959,0.6062980956409769,0.9484859606662959,0.5709000053884746,0.6183695345806807,0.6733234011099196,0.7157505208953214,0.8552920720507161,0.9263106728329591,1.0688784474740292,1.5382020123981075,1.1936307210943273,1.4519606704898156,2.162881008230938,1.2711096145751215,1.1769462770709316,0.8883254968334008,0.8284781733004034,0.7906613779291074,0.6994192038717699,0.593302023805942,0.6173394150692356,0.498321292290619,0.4731476031119421,0.47313936906355925,0.49020219722470765,0.5043193378896401,0.5488251213098417,0.5685254323422108,0.5959130733219585,0.6884708074269369,0.7146326059777971,0.7586188462137393,0.8242321212780016,0.8947322553092513,0.9418730997291712,1.019187400170488,1.0347360266531063,1.0596930402352767,0.9564163510145681,0.7492708545438628,0.8091435598868387,0.7750612678878421,1.5850358573778902,0.9584747508599488,1.4944818086093499,0.6886079910576139,0.648111009594552,0.681526264889081,0.6414693348870927,0.6531037783353667,0.5358722559730608,0.5863974403098918,0.713117172307119,0.7557258675246584,0.6262209823755043,0.9913341109153598,0.862827577794968,0.8061019202065959,1.0270326631159215,0.6170128775916722,0.6469474907719927,0.6261996703442313,0.6462986405376556,0.831062020514789,0.8750015510542616,0.9126418914180389,0.769146693755667,0.7151267523881261,0.8916474471676763,0.8068009800118995,0.6693699026226563,0.8621723556746955,0.9708167008214539,0.793810425526595,0.841569046067514,1.0770335723877784,1.1258088925340877,0.9350105733766644,0.942052083264735,0.7882438602689371,0.7217685934939139,0.6250306334038676,0.6182058975824819,0.6540147139590787,0.6042618976024093,0.5831569741604012,0.592582765681833,0.6229058345584265,0.5935146041769057,0.6445041200772235,0.8552050019283333,0.765236397067933,0.7215364080185038,0.8296922730527255,1.2367815268535316,1.0372677989949104,0.9163550424224156,1.1602685380590119,1.3303531295480044,1.096542475272601,0.9632450385973109,0.8125201910510238,0.720917430043919,0.9174800815492906,0.8133534705734804,0.9317771388412288,1.039814395953496,0.7292963594644433,0.5746297224098721,0.5231671257097938,0.47842040682461584,0.45152410836997103,0.509673399110932,0.5444800356418724,1.588944297662149,0.565819823830215,0.5464233127564427,0.5952854712799461,0.8719733540942163,0.48479632000488493,0.642515347791587,0.8690562422967189,1.4094565395142296,2.1611041034479834,3.167090453182697],[0.4784876691232391,0.4380800232398439,0.5055810123498683,0.4004591764155248,0.41434411268533894,0.3573732314248665,0.3045247139633527,0.33437095230121233,0.34583855752285414,0.30770425949253355,0.3348534960625908,0.42013714953318165,0.33124965307865595,0.3660737786304382,0.49361585326723606,0.4535243600599608,0.45070407126575407,0.5346034052408097,0.6416412940579078,0.6110239768921232,0.6909374853008242,0.7845562418495138,0.8750676838279529,1.1145049779310277,0.7306137777672241,0.7181885554906756,0.6088658908152547,0.5211370508033405,0.49754412151626193,0.4678317444673694,0.5140145201618679,0.4539573540982554,0.5674704402326276,0.5473501661711848,0.4735307667227241,0.49735053958895087,0.43059164229444186,0.5148598547292538,0.5207153951981109,0.5047313230811856,0.7449129087305053,0.6584373317069998,0.6654157596621479,1.1800246923935411,2.411231492859788,3.0666251011499717,3.2863850032663153,1.6609660506287078,1.432607250671386,2.2162497185599492,1.4258324017389388,1.7042267212841604,1.3872670333574453,1.556853252983823,2.023795987353043,1.0517483907522216,1.2336996904653486,1.3391207720502465,1.2478145355613222,1.1591329986744887,1.0921264775238457,0.7691658749741973,0.6990506828070729,0.985263597967923,0.7478125324975475,0.6664399500714617,0.8643275217528347,0.5985048418795668,0.7726757112657036,0.6618134624997186,0.8573539197956533,1.150108289228962,0.8059690142064904,1.039028475089897,0.6378158442187923,1.3369425780825177,0.6079714024278675,0.566641801033979,0.5466483833536163,0.5779837678784328,0.5242169863726401,0.49306731433351547,0.9709898311397976,0.5291335566939849,0.6596075622577194,0.4743383727594102,0.48833797828623315,0.5354683312057493,0.5266704844665062,0.5439769391319804,0.5842217808048905,0.7745228649120908,0.6758866169770745,0.5967928676702511,0.5442232103310904,0.6319990692873958,0.5744239769630557,0.5260512730112479,0.49141961281945196,0.7508395242865485,0.44993870730966945,0.5663185583397693,0.40374783042969564,0.5080064758982772,0.4608337621259272,0.4812232855813896,0.5934103335199643,0.5645329882910766,0.5641838178638819,0.616029295808914,0.39996883931627186,0.33548292516052036,0.3175903013942237,0.3623644376908597,0.38307471514767444,0.40344228971804524,0.4744276338448646,0.5054014497265491,0.676974418890258,0.5486823670236296,0.5325427566223232,0.45648837470799697,0.4508090793344754,0.3677806626974234,0.3609467067094768,0.3560089487110248,0.3684933935345921,0.38144756578368616,0.35351279001960934,0.45725114673604045,0.484154636072761,0.47051010206951455,0.49460786841681825,0.5494943976217386,0.5240447776887309,0.5883142359885275,0.8989688114896369,0.5513976591581541,1.170580934619636,0.6727549600267763,0.5821004037216746,0.8049940242827227,0.6991825078650187,0.5360828256262922,0.5051964882155975,0.49148543749507473,0.4246326502733378,0.3996165451317291,0.38044603484821243,0.4092017894764147,0.4343127405604601,0.5378648691693475,0.7854430118693155,1.6260102481123222,1.2107995893732473,0.629416790333846,0.4162524937457483,0.4673171005163471,0.38094867226537643,0.44762564507583735,0.45966652654800216,0.4267187367127057,0.49892419950874467,0.45077754410344745,0.5417115557082616,0.7195720890164637,0.6558506911526409,0.8605311410479399,1.0730074058850232,0.9951377876187407,0.7179949958693077,0.6005516829740825,0.522908649617618,0.47895151968686484,0.4358442267594526,0.42551814900332147,0.4433640711143645,0.5834888912927413,0.49141395422004186,0.45221052054668676,0.8090748184936176,0.4154236688190344,0.4513246227449585,0.47279778281154006,0.5174255614912072,0.6898124357591601,0.7895943514777953,0.9191108174842615,1.4634237561110592,1.0198852718804527,1.2643167401069089,1.9935837093137971,1.1421702196690795,1.063377304371038,0.7421874245907595,0.6797478016699011,0.6875763989881858,0.5598891759339882,0.489361548281296,0.5084540346237776,0.4062107124653161,0.4194036364561863,0.3829596676036987,0.4192389026464844,0.48562466527601006,0.5371266598813175,0.5321099084027748,0.5763545281066283,0.7381488567075419,0.7111357504357486,0.7288154619933551,0.8449185963932957,0.9351126069737884,0.9223002209281862,0.989183096691181,0.9689968139609704,1.085824444553297,0.9368083578743248,0.7310650045280243,0.8149162802590643,0.7930375090414045,1.6814488412909299,0.9895289726241348,1.5012848683114444,0.6965867630553895,0.6703562476085076,0.7195313063530997,0.6420798055997365,0.6469949897593847,0.4784218133874423,0.5101555329217707,0.5855967397513641,0.6704866596506646,0.5157428199086249,0.8778511790904541,0.7776953136720646,0.719065172365979,0.9700339515202201,0.5214215778658243,0.543749529426442,0.5479030909265761,0.6168157019718566,0.861656592610503,1.0224529476383173,0.9836731231241056,0.8276068903052172,0.8039740344761915,0.9671001450058511,0.905507400104977,0.7379620664786833,0.9791081827157981,1.088031572167002,0.8781115777881374,0.9543265701321387,1.2127178250041104,1.2366375065242772,1.0172486583243272,1.0544793053200026,0.8677091898194618,0.8112681716575492,0.6944106002562528,0.6690842619235619,0.7089455688343526,0.623904308747095,0.5721635950257312,0.5831507901343659,0.6039016930553223,0.545942871512271,0.5922937306637864,0.8121807762993298,0.700305150375593,0.6745514528843818,0.7510119220735012,1.1851013924241114,0.9608229131486611,0.8722093765272098,1.0821798011881207,1.2915187111479556,1.1148792409490351,0.9286107493675916,0.7642158021974155,0.6528667057570627,0.873691521540753,0.8283643091096657,0.9523487945184826,1.0323708835328322,0.7150804065494136,0.49921041814658845,0.41286840548149195,0.40855279938663613,0.4040384531607205,0.4272048887529026,0.508049342162347,1.5903447178875538,0.49483510948110354,0.5428545523781793,0.6046171182554456,0.8449024912355252,0.4878966900759121,0.6480960283621575,0.8969773165274698,1.3931347068377573,2.1895593850475326,3.021031446740713],[0.4898178250971025,0.48921495082404365,0.561389355175423,0.47912411054608856,0.45090037319913023,0.3744321214688444,0.35502732555497074,0.3748279530402309,0.40827643974943073,0.3878928128597869,0.41158795056145664,0.48101898383907665,0.4241861041406036,0.4593196723488881,0.5673456934445156,0.5083843119022537,0.5046532042301051,0.5552544880239867,0.6334996219552917,0.609972817338626,0.7085511972792702,0.852475955664801,0.8604189502402688,1.1481703817695725,0.7623358713327021,0.7316026114867047,0.6027787535542923,0.5322859697124744,0.5189038001084064,0.5090504467438539,0.5568223075490498,0.504262581883946,0.6062746315956834,0.6049347187672623,0.5297592369115035,0.5510878128250675,0.4583605610858561,0.5259910045966579,0.5272484976586397,0.5132406119695246,0.738885952761105,0.6464427230069001,0.6906134148397493,1.284062192264663,2.524723498875034,3.181550714296343,3.534532761266169,1.8914454255224076,1.559796571303548,2.4330127981218572,1.6709476985040521,1.8188103698406088,1.5529404951632855,1.8609491021426166,2.27347192586562,1.1139082913068272,1.1446427115767737,1.5790817934550052,1.3770842067407871,1.265739713583114,1.1100067442496189,0.7653441733211837,0.6974319508420896,0.9421283305907349,0.7232537837069979,0.6908527395333902,0.8498610106702156,0.5895815901373731,0.7665720437304142,0.7126425112731314,0.873485808702294,1.1278007719371375,0.8510196314262185,1.0429226508897351,0.6957025811148068,1.3297831212044497,0.6420441027398458,0.5995451897529508,0.5874781386433569,0.625452147200854,0.5594646425717299,0.5360895184248157,0.9259423805117224,0.550883971192568,0.6867674959064639,0.4886130620033935,0.5127261718082377,0.5688135498422943,0.5724216524152409,0.5891917177402294,0.634778174192253,0.8091522066577739,0.7255639045097283,0.6470324908770452,0.6086612382759361,0.7151876334160068,0.6564861224489019,0.5935269318497893,0.5342198921537435,0.7441840244533852,0.5019441207136136,0.6007872867025764,0.43796994652216464,0.5445701153339986,0.5254254051250548,0.5560799618546184,0.6074208579845787,0.6740064541422797,0.6511299143976127,0.638383067355743,0.48698266095822096,0.41812548535947586,0.4010684919575376,0.4204313774406008,0.4138346154432684,0.4440215081466951,0.5036380138599716,0.5533528385107722,0.709318237465059,0.5824672260178607,0.5730735129823179,0.5111932204942637,0.4874708968246597,0.4178099462824515,0.4118501367383646,0.44722814374751346,0.45603348863612536,0.47742349986749216,0.46058823707429164,0.5357190266064469,0.5709473784316282,0.5518107022338571,0.595356587630471,0.5973301089204821,0.5954711125427358,0.6528685942416775,0.8607070527273446,0.5824626256067545,1.1293268388491724,0.750885821544611,0.616018883931398,0.8199540687518078,0.6668393523159655,0.5516055629971927,0.518335218183392,0.5014019471112574,0.4453527411545374,0.4354362176184022,0.4317063629864745,0.4803222438649827,0.5181982982037261,0.5893123493731525,0.7904592631170297,1.5171115564720297,1.2074872476745615,0.6443317131515613,0.48108766646669493,0.522205378005737,0.43046025728678605,0.4806586905247595,0.5239619868681528,0.46427073450599027,0.5285324442219844,0.4787391156259724,0.5796072412164311,0.7673155025661066,0.7110454938023567,0.9793414066971493,1.154428977767043,1.0341687815865266,0.7583449461905687,0.6403636223753776,0.5734360495540735,0.531083230085269,0.4923615067709009,0.4617246908708137,0.4916965582924834,0.6065507005113835,0.5281957625661605,0.4600867735777246,0.903095544865537,0.4593483128513911,0.512648435721015,0.5631455265312935,0.5983182700704048,0.7183239893464881,0.7974927736087581,0.9485642321387614,1.5041186379985383,1.0963663776430177,1.3914797881358054,2.062066681540571,1.2401289364305117,1.1700300302883668,0.8597642584888601,0.8098054918927925,0.7605673702048668,0.6705155517461387,0.5858805343824439,0.6042913993097209,0.4825881060381533,0.4456398028582074,0.46185062862406406,0.4776332439536306,0.4933647621012419,0.5388622941871881,0.5500756786342603,0.5803120079923845,0.7092787562870924,0.7193146264493105,0.7389068742732693,0.8480824883155305,0.9541001657617582,0.9286294760440749,1.0304657209989996,1.0183793929757805,1.1087047406733694,0.9471300321048013,0.7599283196118212,0.8311811386499663,0.8068801003346523,1.4997651977607724,1.0033811881813142,1.499037255976354,0.6921058969548434,0.6174324536380907,0.6649250001427943,0.6522644002721065,0.6713302148059169,0.5464159476619722,0.591936050554654,0.7143448025012235,0.8029514041964368,0.6426569598858657,0.93146977904821,0.9229603748464301,0.8318283359397048,1.0560366145722764,0.6318857388404704,0.6070500187506961,0.5488196929717097,0.5996080136606431,0.7931834738546867,0.8770953499462942,0.8776344642448526,0.7562932778566303,0.7040061633145488,0.8449667988224829,0.8180706783127518,0.6668485962178761,0.8795525439457543,0.9969396876386996,0.8225295867482603,0.8867480552750593,1.1308626836770648,1.2083807920925222,0.9788928342235138,0.9943963705756187,0.8386475090707721,0.7630044769915737,0.6391138062317588,0.6368279849183014,0.6836993857958128,0.6180024442057961,0.5825112442698382,0.6183020117923363,0.6479885186539348,0.6065644955420532,0.6641247793535078,0.8854824208402639,0.7649140169484369,0.7621854435044488,0.8624946425202333,1.263981863273187,1.032893865248626,0.9172210618040176,1.1623451822398654,1.3316248769326637,1.1144640014322267,0.9476813432908829,0.7909594974655177,0.6866856995674049,0.8691704385251225,0.8409628137158386,0.9835630627290448,1.0984455905816783,0.7773554645148715,0.5548285925728049,0.5070075462503545,0.43375812984075396,0.4529732669071953,0.5181501269174659,0.552651844705821,1.6147930051226378,0.6220704434615355,0.5496376642363415,0.6583176024588164,1.018094172668542,0.5033357826214917,0.6644057323502452,0.7449138541699032,1.2740681264165152,2.0749502589720255,2.878130935291425],[0.461380865636943,0.46262843179840596,0.558410165419215,0.48191505866578804,0.47819147778255755,0.40392058793291874,0.38686977645183257,0.40228471074988326,0.40997158936067707,0.3905837571437581,0.3862267871879091,0.46637171781909825,0.42429773544670946,0.44834633924436973,0.5283813786570215,0.47916867011991776,0.5054111483342784,0.5389816116789377,0.6246200693374886,0.5942567262597742,0.7023757563721282,0.8872215379719729,0.8545515829850215,1.165293436916739,0.7821001504718099,0.7415795716743157,0.5905745177854775,0.5235795908377899,0.5003059522349731,0.5064873392044339,0.5262905316600172,0.4968607439182327,0.5677830957943303,0.5818374228423128,0.5061340955657926,0.5389825287892791,0.45025487663782393,0.5185468967605876,0.5158557558130049,0.5148404090326669,0.7502514621345945,0.620942977478094,0.6642770900941197,1.2094420500676881,2.4338653023355072,3.0945491157135137,3.524348259498943,1.8496005060986331,1.5105781387089605,2.4055345427660555,1.6254415377399,1.782891542859562,1.4834322563648572,1.8152337597708417,2.41731298426828,1.0985814318802667,1.1296979466511072,1.57412630550197,1.391333646135434,1.2674213477964666,1.0539329570405813,0.727979494458518,0.6728960814657963,0.8914234757462727,0.6736127301429883,0.6637748961854465,0.8160783063186773,0.5632625665228701,0.7406410574917877,0.710156665507276,0.8679954536223806,1.1191074549606448,0.8484123967282968,1.03763063660873,0.6779523278735562,1.3058658129774448,0.6163037490273559,0.5684260286498506,0.5637655625436824,0.5980235384401478,0.5449419945850085,0.5710150536371412,0.8954737412758131,0.5772006270209884,0.6846237150279629,0.4844938628678173,0.5136115049382395,0.5822861985659414,0.5561071378766098,0.5768737425128984,0.6042778156961778,0.7783064469908599,0.6779038010726952,0.6035712028166159,0.5679615504277814,0.6487482309090188,0.5965581683698545,0.5497189587721802,0.503264418416648,0.7210035198598275,0.5007700933259474,0.6521172141327028,0.4608187199387358,0.5952854584002325,0.5835139458170199,0.5816536926969619,0.6489765578259781,0.6976927413413343,0.6764613274172382,0.6817712542929585,0.5480469316857804,0.4772689840607388,0.44476439472608587,0.47742216042408686,0.44060927245169856,0.4748229019467806,0.5178585264890719,0.5652851713904308,0.7024720105112343,0.588690421774736,0.5906928429103959,0.5344801857749931,0.5172290225017123,0.4547896811364411,0.46467487438903793,0.5139842641012469,0.5213800130443994,0.5398731169483318,0.5564045222899344,0.5908807645917366,0.653269565377016,0.6361783936871754,0.6519276074921453,0.6402495110363141,0.638448783351446,0.7144953567478278,0.8954246753183529,0.6102125765521067,1.0994438088807414,0.7339960732424291,0.6088311461014847,0.8046340493350793,0.640898601030524,0.5382368990068631,0.5161880438240664,0.5055295338081776,0.4683998022013243,0.47812204105021305,0.4559373242693061,0.510319398688933,0.5474012203401837,0.5575108901051024,0.7768313258262455,1.4740246839427418,1.131092757535383,0.6012656606301704,0.49049213609346076,0.5478991538112417,0.4581708559912412,0.5403474448753063,0.539409150171976,0.48806567379965193,0.5376438555704153,0.49750974427385425,0.6002027818479153,0.8101357609845102,0.7687066530076799,1.0790752338417322,1.2730919452738676,1.0778524070431383,0.8100108835316014,0.6612367548506032,0.5980208064924016,0.5462587604216803,0.5038808134612046,0.4897647034349299,0.5038334645076331,0.6368938833367374,0.51651202348166,0.47496329110594304,0.8975502618915845,0.5084202951806913,0.5726781798152871,0.627645622459179,0.6333067670985352,0.7217943797187765,0.7977181720827003,0.9555823816279536,1.5426116395237863,1.1589878560124036,1.4591668749982576,2.0412491169139444,1.293635714854817,1.2445551015159795,0.9310554472072502,0.8828088996915466,0.831913602488236,0.7204907118537343,0.647965156733024,0.6512580890954145,0.5395377376646372,0.4774505201525995,0.5009915342545942,0.5328441975329579,0.5484227997666661,0.5760166192431914,0.5797997836494819,0.6371197282228236,0.7704412840974925,0.7607488432779195,0.807086938490822,0.947182260432475,1.044933993969688,0.9990205489064129,1.1308484957322555,1.086882429408154,1.1955439602183588,1.0453276130318994,0.858591534341443,0.9328566728471659,0.9237399277892104,1.47298742282441,1.1237725345899612,1.561469915484069,0.778984577966058,0.6994331605457698,0.7332994055393907,0.6636754447486615,0.7654520001589005,0.6127096121493151,0.6519847292280805,0.7945763015739906,0.9128951221265504,0.7271511705570783,0.9191175107897921,1.018804900664242,0.9114727150454526,1.0709474383913886,0.7025744499055275,0.6219538216286918,0.5819018291028601,0.6267020046346504,0.7902045636840741,0.9308880868145148,0.8452205382573197,0.7578802193112945,0.729430348925145,0.8627191784874262,0.8142868732646596,0.6945018538817062,0.9245477068958283,1.0349752120244027,0.8702565011168998,0.9633588275761291,1.2027418706193127,1.29712946427657,1.0817879731281095,1.1167532980698922,0.9361823660638416,0.8528837013414817,0.6936909437950746,0.6977051994107203,0.7887475569439723,0.6968565836639118,0.6364965606444924,0.7230895295262384,0.753289940162442,0.669447893623468,0.747221605825002,0.9837566615558319,0.8362475377091689,0.8314208190788925,0.9399689889952407,1.3372701774176248,1.0828752907757475,0.9877841481128631,1.197632252652281,1.3300999189135478,1.1995418636964876,1.0002646803648376,0.8385108810779436,0.7336294000855954,0.8845600185515768,0.9246217381144617,1.0909044248056294,1.122212430994287,0.8400210612712175,0.598877618620285,0.5715137244601196,0.49234303989808875,0.5087086876707245,0.558806448615239,0.5706177141804873,1.5505075545263391,0.6713756883704313,0.5558720258906076,0.6387928727229657,1.0427417072380945,0.48013843311859195,0.6276427022053996,0.6507895853963416,1.1845549377810867,2.046028935831641,2.6683124462839753],[0.601455389859591,0.6030389837079618,0.6600096965516925,0.5445340016200324,0.5018752354101051,0.46066248780229846,0.4454005797037869,0.4683943623805617,0.4615380298548209,0.43572576811860225,0.42438902169008086,0.49129857969097757,0.4698714439288958,0.4887036188105385,0.5594029856130679,0.504082796296291,0.5205578569075735,0.5453021244122852,0.6356415984376342,0.6040669563614017,0.7381822235416081,0.944392669444935,0.8639567741161529,1.1499768163220507,0.7813824581203686,0.7456619386625667,0.5928890749268111,0.5483559487786548,0.5070207006263143,0.5217513993225963,0.5372287848325897,0.517165254929345,0.559538995801346,0.5686781750506729,0.523602913536135,0.545843538362325,0.48961022519787956,0.5247854403842287,0.5274265988510624,0.5461221415653298,0.7697031614290388,0.6291414628736612,0.6760835940606569,1.1657266548302043,2.3567189077342,3.0304696047911523,3.4691118778068413,1.817920737286627,1.5144100650970114,2.409308602888319,1.6301946549613655,1.8347886107763318,1.4925996339630518,1.867402841331532,2.517894884989027,1.136581176558562,1.1560670853428725,1.6201569270934149,1.4328133712584408,1.2773232556330183,1.045430782293801,0.7524684613555082,0.6836464356523286,0.8644323709585916,0.681905927147526,0.6966244444581241,0.8577903111314911,0.5680824952152109,0.729724714410116,0.6999099399659477,0.8653738799534617,1.1360056156348426,0.8235294609411083,0.9731758603816386,0.6663017749545173,1.2674272030736842,0.6197429010089154,0.555210597777392,0.5797664556601232,0.6240474325452708,0.5507576248209528,0.6382117148522011,0.8455623442228319,0.6053886972418858,0.7272553880121831,0.5311643951096777,0.5549407398461371,0.6003557156589596,0.5596771743715204,0.5946599022001827,0.5696838245548653,0.7753795407611483,0.6615956603306777,0.5884471431806197,0.5696838641462745,0.6383992639141782,0.6227453394876056,0.5474001605317332,0.5132525924108446,0.6947943050214105,0.5087188363826068,0.6705035211510932,0.49913480728739096,0.6242011945056458,0.6163661822448634,0.6095365678661507,0.6612254240151921,0.7484245346104934,0.7195523093185018,0.712502748602549,0.5873327067689792,0.5323555584639712,0.5003158364138826,0.5219588599696792,0.476236035640541,0.5100765944555384,0.5662002385616228,0.6156256080850862,0.731301885422855,0.6062707029602215,0.6296328269152337,0.5606164022388922,0.5585664592962005,0.49701563311707414,0.5066984143673147,0.5504032857070777,0.5805013154543683,0.5835833603965055,0.6020214903359149,0.6393438152227879,0.6907208735493995,0.676761090087181,0.6973976756716346,0.6763431449379134,0.6815331117979507,0.7630461907013677,0.9015013177340391,0.6411770541275618,1.1129642536787625,0.7585352803097667,0.6559587712451707,0.8411462210758289,0.6488323871019833,0.5536849977510787,0.5314105351432001,0.5224988405848905,0.49626810680289274,0.5042754313433312,0.49794804529598413,0.5486556483001563,0.5724305111173628,0.588653543609603,0.782472844785186,1.393733532379156,1.0968375703990754,0.6034333006953028,0.5002603398116683,0.5659610323231442,0.4910995953729244,0.5838875366435741,0.5837156131249732,0.521485460068123,0.5691273134018541,0.5348048545546252,0.6474388803422191,0.8415248610490136,0.8174078262576643,1.1131998809855919,1.3046015124372459,1.1058142099134902,0.8513449299025764,0.7160343125740812,0.6605345913036501,0.593087168521045,0.5467208617238881,0.5326283050596716,0.5482101856273301,0.6804317766986283,0.5449010606341268,0.5006604434483765,0.8944286244556083,0.5665039973853693,0.630883531536004,0.6783455513216585,0.6750371127415276,0.7797418215188606,0.8544807480746333,1.0207810467942884,1.608749072088599,1.263809667268773,1.5532915738471533,2.0824825554246176,1.3488871159610167,1.286954343656777,0.9733083117985207,0.9099643542325226,0.8583844992401265,0.7566046414948375,0.6687006383336913,0.6883304505901008,0.5752978134366473,0.5112964913052604,0.5383702762233203,0.54834820426486,0.5676855355842056,0.6033873839078969,0.5906810257819993,0.6407039515013211,0.7777575774164548,0.7954595685229094,0.8291137571682075,0.955503655593023,1.0703410965205162,1.0404176349719976,1.1562244548622687,1.1325054309098035,1.1523911651798049,1.0160146982493876,0.8447931940853818,0.9123694853299418,0.8949547846312874,1.4428253596452019,1.0842847401989926,1.5401664438394065,0.7771363930838612,0.7144694633008833,0.7396234227062536,0.675747390633508,0.7774450591403655,0.6303990738895778,0.6677633217697835,0.81664061284177,0.9161760206895048,0.7365428498565494,0.9301836946954226,1.0316290455861215,0.8991863191750885,1.0859670361838898,0.7190177259487212,0.661769502217839,0.5978193252967804,0.6311872938494599,0.7783749773900343,0.8586638810830675,0.8071258632796109,0.7392006073724787,0.6898229004535038,0.819851419434819,0.7756179080800478,0.6832712434373974,0.8910685259162084,1.0006555385072011,0.870619051364913,0.9419612463384595,1.153680727120546,1.2734481341794626,1.0714904255430016,1.086171976170308,0.9179458874248667,0.8315586030616715,0.6920751149625797,0.6955882509114754,0.7698008371512709,0.6898895615228743,0.6487653847092189,0.702592729865446,0.730679028999855,0.6683489203809265,0.7324734481935754,0.9351549729538202,0.809332945248624,0.8200844518038197,0.920157601330572,1.3316577376897945,1.0835813135401806,0.960538458608083,1.1672322268858049,1.3102259119349255,1.155454847539763,0.9737447813324921,0.8238866997754908,0.7553683097107285,0.8506685681306569,0.8593143504043729,1.013261234711467,1.0826067936710568,0.8105243088468743,0.613071092198954,0.6022094978213799,0.5058307163716919,0.5384327897071393,0.6114390044009372,0.6219233469677349,1.5344378279819362,0.737989357958717,0.6148249360981239,0.7161627967436092,1.1211699968048454,0.5775336111007257,0.7517140091957049,0.7243641460160856,1.2385905531455614,2.0158758566055925,2.67122119608451],[0.709091935854013,0.684104689904573,0.7043950062558789,0.5495744895630749,0.5618152879767664,0.4939859078145309,0.48910520325873885,0.5059927900668143,0.5275604880989421,0.5611682734462201,0.5584745505642961,0.5759119416288659,0.6142451435281054,0.6511189143450067,0.7258101414099578,0.6738564778473366,0.7258381063411172,0.7866216939179226,0.9578880687418182,0.8814294936864159,1.0354479484298078,1.2184879083205342,1.1971741634890931,1.5152672935975862,1.0883405610087278,1.0597580171380092,0.8868147211424652,0.7919828619656201,0.7463192165686177,0.6977117378883063,0.7337110963771093,0.6648985831165574,0.6877891237113345,0.761858905429622,0.711302293373557,0.7622153999755764,0.6807046996963612,0.7680133649080071,0.7786940307045047,0.7810741054585176,1.0201271796677247,0.9380178513714755,0.9920728200090148,1.4806278947610003,2.622757907152026,3.223393471438614,3.8063425102161124,2.185733045794022,1.7365411232422185,2.696988100526163,1.9918079737366312,1.9748004209297514,1.7981842758896283,2.2417633247163,2.7757567625750403,1.3648165382736333,1.2665470008411468,1.901176781945035,1.6229965375181408,1.5589656684699675,1.261298209376466,0.9748562744545914,0.8842961582801382,1.0295317882181834,0.9322030425806352,0.9495859497854026,1.0595745099804992,0.8195371474299383,0.9497339383531084,0.9045304472979254,1.0726545717939553,1.310980936732834,1.0286940905199786,1.2006209091599507,0.8905255169740364,1.468183397310741,0.853934597044183,0.805063698739607,0.8122139004020119,0.8474183352813325,0.7634717137485303,0.7681919811186443,0.9869223455635695,0.8161886416488224,0.9029720159709244,0.7178996957195648,0.77401381742144,0.7796053441966043,0.781928976311836,0.7942754728131237,0.8043190642507022,0.9899188623216548,0.8728682488111932,0.7745592958972642,0.7436179646955242,0.7979340237514466,0.7805273222338929,0.6600626433580806,0.609938717340855,0.7371752778261433,0.6060877691139266,0.7140876035764111,0.6134755725730484,0.6951176214259553,0.7057620442419631,0.6783301699085621,0.7059126158208369,0.8178842098893881,0.7637861737957279,0.7476315218847741,0.624113051743966,0.6237847833071873,0.5805091690036819,0.6452332264073494,0.6623410059474857,0.740500836302228,0.804344712677838,0.887436401002411,1.0325206462559182,0.8760433758971702,0.8982053738342529,0.7909714706431025,0.7998335696108151,0.6830709838624983,0.6151525799873027,0.6793123584730946,0.6766584113852598,0.6634110898923499,0.682305114706186,0.7115044026213587,0.7622457876292641,0.7516166668342626,0.7977389187784155,0.7591849443525059,0.788169993367845,0.8493805160175046,0.9699583829422911,0.7755104811677651,1.0991567108170497,0.9875054463572165,0.897013817712542,1.0491908692762848,0.9132832810956819,0.804232704997278,0.7823957295386632,0.7469742387561368,0.7098515232916078,0.6770132305031138,0.6193443699640656,0.6173067567215543,0.6108649630280132,0.6360808630796192,0.8013950645391608,1.3475852359909632,1.1093433575617577,0.6506550351160825,0.5679764381676123,0.616235202622653,0.5981428411836734,0.6501960225017696,0.7067610009776155,0.6985015367018955,0.7544983760538458,0.7389821706181593,0.8136477283276836,0.9936859391722836,0.9527487060441655,1.2547687755300951,1.3746794926526844,1.1703365385130367,0.9380046504908939,0.8550688848457147,0.8013892568910832,0.7399294884239656,0.6994468714019826,0.6716948015171185,0.6892086404171629,0.7935091654935126,0.710758498623201,0.6548187509074999,1.0333297207194216,0.6789781626932234,0.7609182636402805,0.814061729365956,0.8252946959000532,0.9285451810606982,0.968174010727245,1.1459265060168111,1.6828049886146081,1.4089233869301423,1.7177765019893934,2.142950462109184,1.4606902276329605,1.3679993287856091,1.043118868499776,1.0204384470079277,0.9388036637599124,0.8500092820563949,0.760568928706595,0.7456716017795986,0.6414590980327656,0.5607662661808258,0.5848795142493206,0.6272574477365667,0.6496231485528099,0.6491843975836155,0.6821881071789502,0.7583531286642289,0.8623547321239315,0.8991946770068636,0.9701527361913982,1.0962239660496342,1.1738612012806533,1.183659223383988,1.3310549071659612,1.3036035442793559,1.3424038041477664,1.1881258429415456,1.0034379701496976,1.0718291758472833,1.0529665357917777,1.5048243764632538,1.25948175212325,1.6330498730354948,0.8851250390808383,0.7836994041324806,0.7744472409813673,0.7439674914443241,0.8834425991480523,0.7242714917948478,0.7681071834336892,0.9440523321142718,1.0150726272758936,0.8362539820293898,0.9932183049910703,1.176655517337611,0.9949693597785997,1.169676667384149,0.8019173642468203,0.7526746601978059,0.6851031303461398,0.6784342807186058,0.8032703865177513,0.8546059929146657,0.8095370482394304,0.7682809161236112,0.719714232808635,0.764561885662555,0.7554716686172218,0.7012119108331232,0.8876687223392856,0.9849936636340989,0.9032941760874996,0.9808514755009392,1.1742567670739052,1.3068962938629596,1.1562948731998763,1.174474551957443,1.0312530618411822,0.9295220317663464,0.7606570002258668,0.7746188540738849,0.8977408659047793,0.7952166330150939,0.745782949358363,0.843621566122319,0.8759964278596742,0.777358163880549,0.873193367488283,1.0965484264304837,0.9276230046470945,0.9177883909173699,1.0626203672284404,1.4505115807923907,1.2063977342332544,1.0586476041367003,1.309047541402189,1.3683928937118552,1.326548190859782,1.0960286446454965,0.940024855209269,0.9031217165693923,0.9444402698879771,0.921772130494307,1.0699055644848603,1.128248585262725,0.8722679918300639,0.6684798055326132,0.662577725187026,0.5492416732138151,0.5672423192398313,0.6152843646813092,0.6239346691010519,1.4196422921496525,0.7558490644152042,0.6397548207860339,0.6946377318249356,1.0900254479759786,0.5828974249168632,0.8303110039281655,0.7655273780211247,1.2603835285740062,1.8513442877939947,2.5199934672177697],[0.7310791217209648,0.7107048360748267,0.7410583499688516,0.5530847188675327,0.5663125048985215,0.4697494338765248,0.42533084560609336,0.42046261443512795,0.3898790200758134,0.36399489116719375,0.3799160751301554,0.4718377967865745,0.3777467958414427,0.3954511871148236,0.4721487169343446,0.41939244252054614,0.41538748468976266,0.448054984792246,0.606978529050146,0.5252259204669684,0.6869092056396632,0.9217376020325556,0.8894138504193647,1.1866637837963168,0.801396201406699,0.7210031478512863,0.5365478023607725,0.45443318976260216,0.4268691744444376,0.3866841639855866,0.46187666373347336,0.4249343276620053,0.45739189294557114,0.46634178500763057,0.42978171956605415,0.45017525314273066,0.4218911889690193,0.4563742683888439,0.4832639435274341,0.5451279642821196,0.6924132984788403,0.5684529040170111,0.6165673934258594,1.1783339034979639,2.3639471286306954,3.019880066809066,3.633681498873379,1.9550704142850668,1.5524819106742305,2.5577193799329576,1.827357769943708,1.957000298908899,1.638753084244324,2.091936736541051,2.8046467589727473,1.0728935698941529,0.9712294084297773,1.7982401232453094,1.513010444357931,1.3641258042036657,1.014403549138201,0.7092022349887755,0.6115902785436365,0.7993436480121807,0.6424243020599395,0.6338353366439077,0.7824277674128947,0.4890391667663176,0.653521525316998,0.64403209037439,0.847065562385306,1.1383658088505142,0.803845483658823,0.9578423600305725,0.6011275573472247,1.2278256716354372,0.514058903946735,0.4603541136828306,0.4704731223823281,0.5402455115662184,0.4960825494551123,0.6166937122370859,0.7897342147863694,0.6435798158979814,0.7275344568993469,0.4767907370212135,0.46828371210787556,0.5442675038363098,0.46060402134140493,0.48884415926798397,0.4918355525676458,0.7293273766858843,0.6387931244841405,0.5064074082141614,0.4899283478368071,0.5808904499051347,0.5768387864059193,0.4784777810950379,0.4614009295443653,0.6594992766556196,0.42277611397853854,0.5926854680815662,0.4013523563411314,0.5641915005332855,0.626696466365912,0.6046761021876739,0.7111019012096329,0.7591309580623786,0.7309563229845049,0.7688676513739514,0.6119038271180887,0.5330560352877216,0.45266422386132643,0.4791871963303434,0.36881087261732615,0.42207150408289085,0.4654877497180664,0.58162095554572,0.6794708592981484,0.540652862834988,0.5833716653130182,0.48255254586348745,0.48576255270236407,0.3812447882995079,0.39368193731098683,0.4933463764001703,0.6504878972830728,0.6242314149453837,0.673934470893959,0.6981327209763012,0.7883014197289957,0.7822806303158842,0.7833946282775274,0.7215386299114072,0.7357311731477862,0.840293799745482,0.9116992212556532,0.6686530766340839,1.0118616661698194,0.7202044314585587,0.6867670790749414,0.8453771135819677,0.6082419719777435,0.5213857852500215,0.5001224699770024,0.43740833631311987,0.41051727474284255,0.4039589506333974,0.40368923478173224,0.4322446727808378,0.5306886333017234,0.5414172875873291,0.7520636810363718,1.317388804409373,1.0357166228530978,0.5498797265156262,0.44216764997007757,0.4688919634404014,0.3890352507649715,0.4705453821403895,0.5269423093111082,0.45942014380689766,0.5323795786546851,0.5251213099669821,0.6699113919523747,0.9403200372558087,0.8978904767908016,1.2889487165217683,1.4446179072198613,1.1612387807258158,0.917684303440053,0.7343800152766955,0.6683337800031187,0.5781577983585817,0.48992791585586837,0.4588704843780949,0.43655252614030693,0.5498366874913589,0.5011313910565609,0.48612654829609736,0.9170932880105835,0.5729632175300953,0.690830456863035,0.7258536337200685,0.7063226586773272,0.756833712649111,0.7949327789191264,1.012692959910624,1.5681059556410932,1.285176047144626,1.6795646175528218,2.114088810704215,1.498723626298101,1.4336337436308115,1.119641818618533,1.0796380625904471,0.9760547383731262,0.8974748324167761,0.840781590156685,0.7788181302530083,0.729089453578387,0.6315480621778602,0.6299149484657579,0.7341551331539269,0.772665935080081,0.7556392850338312,0.7834450065822803,0.869197074309915,0.9667411979824619,0.994877481921152,1.073811827808855,1.2045283181086601,1.273012221624804,1.2935670965775155,1.4387658824043903,1.384955236455848,1.4237987910146925,1.2571940296302146,1.1013191675914664,1.163032259596601,1.1568120531575772,1.5556529997879758,1.3886948906483119,1.7331625661323051,1.0147142899307702,0.8969930457798337,0.8576431389729251,0.8543774413869457,0.9816265104083042,0.8200875985005907,0.8725260669658285,1.044411280794938,1.1166926127785615,0.9418207452708218,1.0341308039326902,1.231367122786407,1.0930869793475213,1.1988067901805972,0.9011333213930088,0.8126339034981187,0.7659405241198591,0.764277828249434,0.8664822740781319,0.9597686760357742,0.8568724760930416,0.8358402090355256,0.812822253028356,0.8200145245092089,0.8064237099702403,0.8063487124897726,0.9788042703292834,1.0601211398320707,1.0009971458652591,1.0816033450014095,1.2621061287646214,1.3947548152814266,1.2536324534806775,1.2713853458924278,1.1378399676814617,1.0408446523515367,0.8797515794231919,0.9050040479672277,1.0043534779118601,0.9165014167928132,0.8810062625279136,0.9735041184992014,0.997100848492354,0.9046156435884509,1.016734097627518,1.2305101470405544,1.0485367436461466,1.023111318987952,1.1756033495301368,1.500702840303606,1.2762902123628626,1.1477358530764925,1.381154951088675,1.4309533343563157,1.3922476229844938,1.1718036731765535,1.0321714772792907,0.9982959768529832,1.017664661588398,1.0251018130949505,1.1876290637432918,1.204656111269401,0.9715350060467439,0.7205959868025912,0.7286630239531847,0.5654223261449108,0.5973126453155249,0.6323143067749343,0.6818777211462541,1.3203128752807567,0.7761012366774511,0.7208556406771193,0.7148730583625318,1.051496063560631,0.6116355599453474,0.8537660957243858,0.6918154448581243,1.1252195477758729,1.6739130807355396,2.261320370738701],[0.5211911990033891,0.526686384018913,0.6529305216780709,0.4889408192946162,0.5120298011367385,0.3816121306944742,0.34596856151072325,0.3427436954903719,0.36915965346771995,0.3889979154122738,0.40560148671616514,0.4764898759419112,0.41748126807580527,0.4315593289378452,0.4904575528990925,0.4627251398360227,0.4518526096356226,0.47343741789733373,0.6017210288724378,0.5388727403504243,0.664835455286921,0.8934457398152316,0.8442097187356044,1.0777499001492996,0.7894724818995695,0.6982231241644423,0.5531776737786828,0.4963767754578673,0.4814215666951415,0.4265064574197698,0.4945580476448906,0.4614164213288566,0.4715617341943941,0.48570977675267435,0.4680897550707682,0.4884828030510888,0.47596859224689403,0.520892348291183,0.5329149388512691,0.6052587122578453,0.6719536226576572,0.5636020713382365,0.5969183282561664,1.1214341901202582,2.2622009170394657,2.9424210660174945,3.5631066030067458,1.8966169068880847,1.5338276665018025,2.5298092266240113,1.8218457452452115,1.9921813786578417,1.6565455898536279,2.1249265527969285,2.8722047088314553,1.0674284469325201,0.9488623304744166,1.8263108257753773,1.5236291008595395,1.4049066935764192,1.0059191801620946,0.7208380256247232,0.6485902644668216,0.8067616003547919,0.6523697337438128,0.6443319102704594,0.7860166167598385,0.5242362935904975,0.683119462702139,0.6545499107053201,0.8510453377904861,1.1219858056519252,0.7921164205128088,0.9426584768805057,0.6200898074443417,1.1900189203959395,0.540533014443483,0.4981562442012055,0.5120383621954383,0.567560194572499,0.5381110457513264,0.7106357345331185,0.7946536060829172,0.6824237663936877,0.7643453094203361,0.5325488591738123,0.5227013387415252,0.5840284042124838,0.5032143683526081,0.5139347910118538,0.519534800839933,0.7179094946863697,0.6523870371462874,0.5072478420105249,0.5049943307575415,0.5814126395190992,0.5760373900076874,0.48558103135042713,0.46377151948988865,0.6098271589517091,0.4428068084653993,0.5707426122754515,0.4421018298736627,0.5612468283631986,0.6296134594467255,0.6034595255556506,0.6482625223041472,0.7592471277201818,0.6998665873915874,0.7045640027358451,0.5658609689426486,0.5325751353056208,0.45532617977660117,0.5156255172699413,0.4282583859073548,0.483963011762353,0.5095482676879786,0.598010991739789,0.6523767522827442,0.5512120362295999,0.5835083059604752,0.5211409108996198,0.5253213964630774,0.43749272129330924,0.4316515485375671,0.5199320061869699,0.6481527247781804,0.6161475771399308,0.6365869034333853,0.6737155452165347,0.7527705519116629,0.7396611798395956,0.7669514850359311,0.7045964216583046,0.7326990587829455,0.8531922726190568,0.9078302019029789,0.6977794556728013,1.038402917183084,0.7368719301107206,0.7241174441467312,0.8879214585621233,0.6191733580799879,0.5628878558488092,0.548789842328237,0.4905160156935965,0.46991098146741844,0.4580844629913205,0.4430922447035143,0.4358843094459662,0.5140525662007226,0.4832539906844925,0.6966465724139665,1.248425247390612,0.9788480177547697,0.4941093982457662,0.4398643764162205,0.4596921971224138,0.4274839569518762,0.4836771780602098,0.5611932907357576,0.5184333076234094,0.5774171452471805,0.5790844738205548,0.7175934062860163,0.9784766364559713,0.9232051462806086,1.3094200505750127,1.4551585965974894,1.1844029417611053,0.9326195556060006,0.7605977412170363,0.6968960146841394,0.6152410177055497,0.5303419032927914,0.4967765604353096,0.4884137384930943,0.5825869004396683,0.5460562074669019,0.5285551372886635,0.947509758746504,0.5931064285965739,0.7059066723876367,0.7365499537399595,0.7182356382079546,0.7898615815095795,0.8354648913942766,1.0591082101251739,1.5829774780001578,1.3014190922137023,1.6973661029888727,2.143168506729403,1.5059560258325797,1.4308644968533761,1.1069170629445775,1.060054547579527,0.9485114852846703,0.8536296750171519,0.761583784018007,0.7228545116100414,0.6171957550203317,0.5097956246872032,0.5391013160796766,0.57768893961338,0.5809634608105244,0.591312999968446,0.6116838941963552,0.665979118730713,0.7630610185979326,0.8347811091703463,0.9004718234110716,1.019107625552658,1.1125445221485686,1.157288691210655,1.2986459924498126,1.2337080925821882,1.1899217548610654,1.0576212536970873,0.8933557010491097,0.9462979403371949,0.9365534142225003,1.3746704157464713,1.1229740222879718,1.4950543722585057,0.8178323178511941,0.7330313007888369,0.7433977571988558,0.7482427298689642,0.8571132016669464,0.6934120718695556,0.761290280540874,0.9366572282243825,0.989868356785459,0.8381439853195154,1.0020290161934353,1.1394433344778563,0.9971312923164128,1.155605859158894,0.7970804213316747,0.7521779733429822,0.692839294739801,0.659663677282359,0.7736083955214362,0.8306915731627642,0.7725374341447746,0.7243492238672173,0.6587511191734922,0.6800039115389425,0.6951281238404058,0.6197216944629527,0.7755882974290752,0.8684845437734074,0.8032617516362711,0.8694324814347536,1.0568485774500884,1.2154452217321396,1.0575354326043807,1.0571675798146518,0.9189839325698479,0.8033672509426178,0.657341905700538,0.705149571117124,0.7764938041615703,0.7099295614955231,0.6767387582029005,0.7706169120363102,0.7946287984513841,0.7243136296788197,0.8463354262232404,1.0646452297552629,0.8868358499616996,0.9051032694410582,1.0371814147331315,1.4262623655674453,1.1731280233742971,1.0025870556108234,1.2697878462005874,1.3258967286576893,1.1805240391340488,1.005081040402193,0.8698780072260976,0.8599697931135859,0.8943499266660591,0.825238683802924,1.0004904595177992,1.080096435045526,0.8197804997849102,0.6227912210837051,0.6412798270309867,0.49044830767517594,0.5221615187918316,0.5393001900446128,0.5223064439878892,1.1997730455230067,0.6732744185477765,0.5606369699029639,0.5713845747876092,0.9917180572438441,0.47672472173627994,0.7981825590495434,0.5932852358134955,1.1850322941547056,1.6412121066542469,2.2612639527594154],[0.5683095899693539,0.5952917646164743,0.7218688077006503,0.6278453695211812,0.6086463185710571,0.5634848350296546,0.5274352943983166,0.566707100499941,0.5936104946580918,0.5891619178908525,0.598683227764808,0.6206651556630512,0.5956402613982769,0.623228633124364,0.6808026600121188,0.6418151479230676,0.5946761866526609,0.6316511386691217,0.7355755194881152,0.6707065255076906,0.7872450133718767,1.0049144267116654,0.9179826589873371,1.2065352590171956,0.8333672829295089,0.7976258779209817,0.6612877275277402,0.6143283606124628,0.6180387869700793,0.6149861829834321,0.6505734524842341,0.6314682184470298,0.675472552704003,0.686002104871841,0.6420916447146362,0.6409704207622564,0.6230465948184587,0.6309118640111021,0.6436953032270499,0.6496301465433637,0.8208636410869772,0.7033415735132114,0.7453280972294465,1.257966658137193,2.4129111275492345,3.0746303077057155,3.6218397356251075,1.980215788294046,1.5982276684641095,2.566996823294447,1.8339017472636123,1.909103531947062,1.6724160970999162,2.150464242096908,2.7650733252018433,1.2031894072287512,1.0922066796065257,1.8417602576169978,1.556194768962108,1.4147910463953615,1.0722603751337791,0.7884289748267451,0.7172195416333059,0.8534752935343817,0.7200969099994616,0.751314723733217,0.8560421776436412,0.6088284733760491,0.7448651216013584,0.724317096005728,0.8820631468359809,1.1539382873706145,0.8347318151789043,1.0123831670864174,0.7130398879909526,1.3075560337307865,0.6608324929985996,0.6335189159346873,0.6498290478207838,0.6919812584703867,0.6721830494201669,0.6936004818963941,0.9028025267093779,0.743024754899678,0.8456002767934189,0.6393099213482986,0.6490446786594373,0.7159625863947915,0.6343401392609372,0.6647274157018962,0.6735774183045244,0.8459493988675465,0.7654810229847376,0.7070877372572499,0.6935015490995899,0.7585954993894741,0.7416368983581713,0.6775226286972369,0.656640033391672,0.775695368592915,0.6362563067331355,0.7079266219749999,0.5832174384556079,0.7019225382050076,0.7054428184392094,0.6811970797972966,0.7043159541868366,0.8295596859874642,0.7800876571101486,0.7416681434526691,0.6375363093148825,0.6089282301338204,0.6033275686211207,0.6185391934679826,0.6005905860440605,0.6024805081809042,0.6432870387669233,0.6704165691169297,0.7756629459389648,0.6792028948108668,0.7079575226773885,0.6611409200840191,0.6392295075255973,0.5922177821460922,0.6056617726088818,0.6224142573198972,0.6885611731696996,0.6332163530592273,0.6287348540887481,0.6645898192483682,0.6898856242472842,0.6849436102822476,0.7108616825491945,0.6785880477769182,0.6879440669379215,0.7640961957985102,0.8779368322927606,0.6436147483370374,1.029626768366144,0.8216880868138545,0.6640519342729231,0.813769376157621,0.6615980541798064,0.6095827676284068,0.6036705821623422,0.6167697006455138,0.5920226404965245,0.6112375999208687,0.6064617141366538,0.6260790806220345,0.6385421674824286,0.676103679724573,0.8428078349468459,1.3374288838327801,1.107992397387806,0.6834783421508233,0.6260838993329749,0.6392933344732459,0.5851848510463059,0.6342019831804977,0.6408055138060339,0.6164203501227937,0.6192311284643677,0.6080794290305509,0.6835279016021891,0.8566871477805573,0.799164888568897,1.1152065439123058,1.2732299486916738,1.055273389759848,0.8070310968650503,0.7233567438753502,0.6917953913933408,0.6602535590351506,0.6111058924728516,0.6081704855201254,0.6000524817803273,0.6919955492737652,0.635836185244357,0.5970652428747999,0.9613649757362044,0.6368529561271236,0.7041924133275386,0.7117735856473781,0.7025103535638425,0.7913068677803836,0.8471525376612136,1.0157602473527818,1.572253413939485,1.26917441209267,1.5916678016272778,2.091922950671584,1.3707382493640357,1.2888369005278983,0.9619700250324957,0.9491647931612565,0.8707855217344338,0.7768118868940699,0.691951569328328,0.69915354789253,0.5963772693776578,0.5351932928501522,0.5613130112958904,0.5513991295961396,0.5653801828897067,0.597512055100721,0.5922619530586835,0.6398331597669304,0.7578971243395426,0.8261013677272224,0.8691260522888045,0.9769857163618362,1.0817109939684257,1.1001735876799106,1.233294169917357,1.2048346902874487,1.1555682441346538,1.0309994946532166,0.8454610100938472,0.9026090813724622,0.8794121492892264,1.407934756826886,1.0410510022072887,1.4555181178345231,0.7425921796976086,0.6884562924118609,0.7327467625420587,0.697384476804575,0.788104225068583,0.6554192252811135,0.6942897624662124,0.8482632912811352,0.9043427749229862,0.7530819045374259,0.987768564663984,1.060051880238746,0.9241405625798209,1.1261034303362802,0.730444699240161,0.7165961809799639,0.6612901778982763,0.6614653118743524,0.8068888217235324,0.8134923276989772,0.8518416402208996,0.7692008503022755,0.6779687723645654,0.7860183454770917,0.7871836681528986,0.6609575023573657,0.8341799021113628,0.9437569412552049,0.8473164052697146,0.8962668946498907,1.0838786645205578,1.2273559702572427,1.0360562587631008,1.023255263292507,0.8800565837022285,0.7664317964526366,0.6450854242658627,0.6588782161138882,0.7301887524191777,0.6670129302083551,0.6245490045562135,0.7083769462443039,0.7406907860231796,0.6739896911206273,0.7676169379267309,0.9836520971558539,0.8455032885298278,0.8609211516942434,0.9870085147757905,1.4278454840307517,1.16636004553776,1.002708726077825,1.2744778793218243,1.3503834856913328,1.166362726448892,1.0005907537377634,0.8530951553358761,0.8275132293004582,0.9013420563258135,0.8050369137470526,0.959303820410262,1.0554890856767847,0.7680564559592546,0.6169384793775475,0.6052563923953718,0.5340079460606224,0.5731376766219192,0.6213213830975198,0.6079835140161289,1.3826018159157416,0.7510652244049009,0.635819052737417,0.6923991789128888,1.0912104980976443,0.600882991984315,0.8401745826788195,0.7099106649282195,1.2899704178116016,1.8575869386756636,2.5397514182266514],[0.4838556247484015,0.5249500124019308,0.6742762198229565,0.5448928600687387,0.5055709261650269,0.34698433157743475,0.25469713884408396,0.26496888490397297,0.3165456773047278,0.3021776917052661,0.32818814979282074,0.4065508822455577,0.3293141894722943,0.3526302013097051,0.427547555805628,0.3758097645847098,0.36995283013946023,0.3867756835129586,0.5040541214162377,0.45144018395354385,0.5587524787978869,0.7996337709400005,0.7350609034970546,0.9647150119452647,0.7001795136783785,0.6116995064980891,0.44007350442564314,0.3800347616894072,0.38258278265428797,0.3504312136359474,0.4116518830161052,0.38361201990648414,0.41610406343618345,0.42656765531640045,0.3965407857242402,0.405451469026492,0.3855666375822845,0.4152199176430769,0.4102289178092508,0.4692118221295133,0.6097506725139169,0.4591041932381565,0.504934180051959,1.0583789209586123,2.2248593699758628,2.940566820402788,3.4325947496763325,1.7698429200109278,1.469212521268266,2.4202429165613886,1.6649207956526695,1.8740723916642326,1.5368589878494945,2.0046749239777655,2.769957635216025,1.015526977113539,0.9430856025774944,1.7530981851546172,1.5002986410674157,1.3142816483688815,0.9627831435795268,0.6561544674181117,0.5675176799714048,0.7090189169051798,0.5564430257053776,0.5652883434827692,0.7074435610121396,0.42761007479036367,0.6083349621951246,0.5903846467459343,0.8292267439799259,1.084163945958437,0.7286371577870856,0.8660542601718912,0.5503963671532347,1.1032592968704165,0.4619217774729625,0.4094353535294164,0.43752615814536294,0.47973664459376886,0.4352571882920207,0.5693245687543393,0.7547914174673608,0.5637173766311543,0.6585243980249892,0.4114454139615668,0.41127365256529425,0.5088709769869053,0.41974353020169236,0.44983302118040536,0.4365316635136946,0.6410103680636519,0.5785910920958516,0.44844071155015863,0.4419077482429693,0.5192736623888377,0.5456605196326769,0.4203765147875295,0.3875003288798049,0.536346935124999,0.3735208724976646,0.5024531055304077,0.33909443436135794,0.4780735494136269,0.5318717806787309,0.5109955818092558,0.537985728949007,0.6983390902733351,0.6366458436149249,0.6121035880836297,0.4398988804588648,0.39179958430748496,0.3386252028349464,0.38774152821625796,0.31808130918234995,0.35948796740245376,0.4053165415974705,0.47778683257208915,0.5596832974496564,0.44349075711543584,0.49059764373812914,0.4320344188264735,0.41292330497525215,0.32503208933740557,0.33147482314953186,0.4142998010128961,0.48929223103647723,0.4579595223817291,0.4618665762741215,0.549282590653159,0.597088934269547,0.5793193967061648,0.6223068481157223,0.5841261781154301,0.5966972599769834,0.7038709160572908,0.804165276554058,0.5486424523116641,1.013587284590756,0.6793327193767987,0.5772774957467349,0.7119060604323514,0.48308530775530983,0.43140162558214595,0.40776097340728834,0.3808304379041831,0.3515346769324627,0.3612443473327856,0.3346488143952011,0.3629479026342968,0.40209842713404675,0.43255900925806984,0.6442246483645312,1.220552638318763,0.9641672810977938,0.43507253707132815,0.3495638697470447,0.3738598365009095,0.3245734453243389,0.3900627908098992,0.4496287757572281,0.39333135506477646,0.4376524616507586,0.4213083211796477,0.5505609819604151,0.8130443181514333,0.7389460802232076,1.0777025818414552,1.2642482640612618,1.0591223646608103,0.7833614664835497,0.6353295878576001,0.5585030527779264,0.48996562214360223,0.40142683677883034,0.37757601799828655,0.37978916112410016,0.5074403284948101,0.4245100308106446,0.38904258435973105,0.894010076439845,0.47084680471072393,0.5726411780379229,0.5835687164766712,0.568650367195247,0.6372450129505386,0.7293952276868291,0.9110141446661367,1.515845424220652,1.141818215813806,1.4673039505243721,2.0330461014756613,1.309170325756249,1.253872037053715,0.9078934083162834,0.8626510375229166,0.7947946086844453,0.6945250897953558,0.6166962660025207,0.6176313343278699,0.5227831936166905,0.43195672630676085,0.459676564788371,0.4922374843498861,0.5036152146815589,0.5360109918300651,0.5520963526982364,0.595552405677625,0.6848985797807542,0.7756981156474415,0.8191281834151977,0.8922806201476199,0.9858790768610315,1.0382051099407572,1.1516580385166333,1.154762838828592,1.0798450698667428,0.9868598777023945,0.797195381194572,0.8421079879498324,0.8326497132814609,1.447860657314076,1.0009956962953734,1.3392460642669863,0.6933286909605074,0.660160474253167,0.7007176023881214,0.6804987036163268,0.7607892608410234,0.6195615581875387,0.6327847889467288,0.7806020629893234,0.8278455647539773,0.6772927613461791,0.9592958232359826,0.9859943984241804,0.8842436529578811,1.0750105802923082,0.6646032619691036,0.6511378572092565,0.597536493448885,0.5969211783269575,0.7576399359070612,0.7576423580162728,0.7930510321430773,0.7047133111081831,0.6063423517287201,0.685664464322743,0.6834178229071525,0.5656836775424984,0.7106359364797155,0.8149751896909931,0.7342017805149883,0.7792785321962518,0.9472627244357935,1.0965632891716577,0.9345651512931746,0.9130207512539981,0.7921375654614153,0.6809712504701688,0.5623621649307302,0.5890882113794348,0.6506133505800373,0.6044185981980512,0.5659429860643121,0.6427468734087708,0.6770206676798877,0.6293600016111446,0.7182414691060693,0.9266353340006355,0.8182959772941152,0.8380266599792128,0.9342627492524804,1.3888044754409414,1.1456296469426315,0.9755904857257084,1.2695602118366063,1.3759025282121748,1.1092613451213826,1.0087445002791222,0.8616837575811748,0.8315569898574884,0.9815794599944553,0.7972422429385289,0.9128571668491283,1.0400385862782775,0.7085096142848972,0.5469794317187118,0.5193722010463171,0.4283248241625469,0.4514630805758184,0.4762829463246606,0.4619471655697221,1.2403764578472698,0.5985995435861124,0.5283810810617858,0.5386983264727361,0.9579120261650366,0.46286829318609524,0.7841221380136121,0.6197435382692227,1.3453467339345906,1.8102067916864046,2.6218417866232775],[0.3894173297214758,0.3896037493970421,0.5140408320321126,0.40638457997146665,0.41362520602994524,0.3215444602342059,0.25713680775105435,0.27946144906715464,0.3278449136789354,0.2571572390593471,0.27933505481541626,0.3975119546590872,0.2705912387512872,0.2871454369984835,0.35359934158644424,0.30695099935301995,0.3165344317177885,0.323073484584734,0.43187119350584385,0.4028082680665495,0.4611357330624106,0.6901586628533344,0.6200232895617794,0.8261644257538859,0.5871857650608763,0.5155663092447742,0.3790115029239302,0.31688905856627125,0.31733454249835863,0.320404048683267,0.3432555025462,0.33924664435314994,0.3700092739626261,0.36907021471055473,0.31415610413251926,0.33720797948146164,0.3085149710001664,0.3711805653404718,0.3546373788364769,0.3899706053323917,0.6224789565498665,0.4398115926556133,0.4786246578825769,0.9494158808718324,2.1212589802305355,2.8432169722847673,3.1970688893993824,1.5375689445833916,1.3431581823518892,2.1961353534257286,1.3921310155482405,1.7199810757133167,1.3156935803284102,1.6523352477946547,2.5968906942942462,0.9060091277932623,1.0082535228882532,1.5380941824142418,1.4440420064810109,1.1792676594019171,0.9577685538027323,0.6505837272181377,0.5013264422957804,0.6337500733792935,0.4908012631454586,0.4876217269733723,0.6704651838433691,0.3853917069127432,0.5682963505273754,0.5468891874668395,0.7818135742580076,1.023747624227139,0.6954218026180852,0.821731392973946,0.46599138896815456,1.0768956754982248,0.38851545492321254,0.35834682693706676,0.37495626277838595,0.42300964977285477,0.3783073594616416,0.5063899163665291,0.7766224970926671,0.4771204793007395,0.576770983650947,0.36980797453875647,0.35961467603429337,0.45098683417669033,0.34696919172653407,0.4010958035259058,0.3789472253116555,0.5847758984846471,0.49961033029151247,0.38008843094699485,0.37118767808713304,0.44516483334504436,0.4757536464323848,0.39116090983035856,0.3717954143155814,0.5718112086726752,0.3736913287835222,0.5246866174095975,0.32531529668970827,0.4705058980701732,0.4889545586679874,0.4902122665969413,0.5709165220724042,0.6145825256232691,0.5909562626547704,0.6278026124265998,0.43765722537945817,0.36276551752892955,0.3095480865249913,0.324786321212028,0.25898951066514975,0.2584594435084035,0.35066972587496903,0.38816440515314776,0.44810799630681025,0.3617885545262256,0.38699332372845247,0.3079874872253909,0.32375684383006137,0.23507548543558654,0.2877129980207966,0.345967836183366,0.4306784285478385,0.4078158532482507,0.41867854946054484,0.49125882865908144,0.5104768619248302,0.5078904383000875,0.4975722349436747,0.5291003347177525,0.4903904389070406,0.6032939442408459,0.8345415678486103,0.4765606351109455,1.0302443688400338,0.6065275100389073,0.4937508600415673,0.5961854572121555,0.45984211227088023,0.401425540243335,0.359021136142043,0.35937095882157355,0.3155036866851953,0.3275427435938864,0.2865892566355621,0.35306471576165854,0.42117121341434965,0.44635945144617406,0.6678370834569078,1.2917727237560683,1.000879771410532,0.4720234115519942,0.34445058105278104,0.3983968284594758,0.3049192444050721,0.39671308231397223,0.4009967179702404,0.33863717142879907,0.3777450156055539,0.33490217954276086,0.4515137652946918,0.7210576837256435,0.6523656941332087,0.966682998775374,1.202564229735578,1.0223686764550683,0.7447648400152486,0.5564411503458083,0.4660240972222003,0.4282024436586796,0.35295509329324953,0.34222911456631006,0.3565822012448474,0.5156528092589896,0.36878234704017265,0.34592117906221365,0.824966082925443,0.40527848973289543,0.47322939139416154,0.4801222022976309,0.48208428020885896,0.5534141975510984,0.6851091740919186,0.811109680951417,1.5088077215151652,1.008419330361857,1.2660055525794285,1.8897157944139173,1.1445208905926985,1.096943471548159,0.7509642355770955,0.6929737235393577,0.6959652943148295,0.566564052512026,0.5165209946794618,0.5447284198288931,0.43709898719623486,0.38736644308877877,0.3942236430946119,0.41816373823322117,0.4574153117991785,0.501816696873271,0.5154987688727626,0.5563171325397277,0.6621880538678929,0.7012783014275771,0.7247762744799167,0.8016455938509572,0.9032776575995095,0.9146387617008581,0.986480324488918,0.9994456321653826,1.0072584922667296,0.8953524368052418,0.7058960900483291,0.7703439456582566,0.7434240436135928,1.484080724165397,0.9438528529224572,1.4173527538665234,0.6600542517096613,0.6205427044104052,0.6717830554482505,0.6181404235211141,0.6575992719364878,0.5104255294008366,0.5585393507976941,0.661915361034785,0.7358441079284331,0.5758195451176804,0.8547749038936576,0.8252872280404245,0.7508369914852049,0.9499828542676018,0.5593069419395189,0.5600386621956153,0.5357319402091651,0.5954007961174739,0.7907790798255149,0.8431064183801995,0.8375504798595855,0.7465493179065541,0.6541768940882448,0.7713832933543793,0.7454966824614043,0.603028174064081,0.7755439862779789,0.8847534360371553,0.7506439591083497,0.7935011421039303,0.9917142203002068,1.102950826923406,0.9174269861514798,0.9073215399312011,0.7580225804115567,0.6889061291681716,0.5732846769954225,0.5844043123703665,0.6212205380587297,0.5596889814155843,0.5198262928246073,0.5652679460599837,0.5976652342518326,0.5574488656955319,0.61038487517991,0.8100679965966816,0.7112460756351888,0.7039973805409144,0.7791088000982167,1.2153745138841487,0.982009062148471,0.8725903263701438,1.0773050299005524,1.2900545973037454,1.041099919033816,0.9017957693468807,0.7637460986164951,0.6850529241078555,0.8571096023100893,0.7715653273926257,0.8913296439538472,1.002109329198704,0.6928248784524788,0.48217674902477914,0.4317952037172804,0.38505694620877745,0.38434558089961957,0.4505530746118541,0.45755418195861447,1.37756939423965,0.572266791692101,0.49184889644056023,0.507502770613942,0.9242668793750226,0.39538337676316376,0.6857869342629974,0.6491090646749416,1.3144232337802948,1.8748287684670981,2.6061572782151736],[0.3980226022695956,0.3626391920112835,0.4988371611674765,0.38687547387530685,0.3520372520828073,0.3211967176421719,0.21438566831548064,0.21815808590386523,0.29410066919340955,0.2350574955172026,0.26748806247701407,0.35268834786655107,0.25009053941838605,0.2637798439132829,0.3274695000226075,0.2830544482136201,0.3031947727406071,0.3014544496171213,0.4133567642242446,0.37659104890186873,0.422658343949731,0.6456268041597639,0.5626245120858234,0.7534052165357256,0.5471516367352957,0.48200959556840084,0.3638585492261135,0.30638841875825606,0.3080965227464249,0.2928888440652048,0.3176400970771336,0.30160292075318906,0.3352051571022729,0.3354321502620955,0.2838060904084687,0.3154585807111755,0.30522751825162997,0.3540856901456308,0.339013844420581,0.3462128481233052,0.6435149999585522,0.4309775315056049,0.44970645103065,0.843517992418757,1.9740983873931714,2.716783658188646,2.9497140369473844,1.3345643946173626,1.2465590572815421,2.024343488971058,1.2207841328947147,1.6655031948074472,1.2083460381532891,1.4859979699708685,2.473228281795536,0.9094813626522079,1.085300564989201,1.425271271124695,1.3959193278270932,1.098510978309588,0.9118051914344649,0.62530723576928,0.46905232352444703,0.6062948520978036,0.4498622898887745,0.45106898293418024,0.6326563294817378,0.3707338951284681,0.5402996636174419,0.5069004321737584,0.7685568933010771,0.99423322636393,0.6547344131199119,0.7492809386995389,0.4327274229803166,1.0478119003792008,0.36021985344456564,0.3294555602106084,0.3447830692804954,0.3868491246325098,0.36594210885274087,0.483678786734159,0.7902200862202197,0.44079486905390297,0.5714725324299296,0.3551233796085131,0.338199242671132,0.45108024339868,0.3220578357635116,0.3734963829371505,0.3482912161734065,0.5392520904446285,0.47870765751536243,0.3551050352554112,0.3455567504227755,0.4221178119480438,0.4571565129105863,0.3623414675584474,0.34393474359359544,0.5444547668576891,0.33822725472952087,0.4852495889989896,0.29681673943017584,0.42270868137392786,0.42852662438155675,0.44744580298431635,0.5257889114552289,0.5806605512241199,0.5466700086235622,0.5745145276151721,0.36416594489263465,0.26912044247330563,0.24268140643631148,0.2573452539114245,0.2477381913623178,0.24647135454915658,0.3462136071381163,0.3220709414355089,0.39152538345738785,0.3564280381796971,0.34789758496522644,0.2935987901225749,0.2893105695254282,0.19769520396703513,0.25007145732278085,0.2839363545935271,0.31961009935781654,0.331708127159885,0.29251473612681983,0.40828470665113953,0.4056161472447242,0.39277887948362367,0.41185156307645987,0.4765588604738471,0.4282685317723057,0.5261919216538417,0.8622984241368311,0.40671725189478425,1.0760061057108634,0.5370843153258387,0.41643440249616165,0.5251706734809203,0.45099865348472623,0.37058895291929683,0.3333327834663786,0.3609485786988669,0.3028541486310574,0.31487185119699534,0.256580816336294,0.31169203861457956,0.37869050878096777,0.4161896062786058,0.625829136158067,1.2657541686296518,1.000741643504205,0.4425213882153999,0.31335957384234214,0.3450410032821216,0.2682920960786425,0.34612742505920463,0.3867439674231253,0.32023968530106506,0.34169736234963877,0.3013967706284371,0.38709049790607486,0.6203146678947051,0.5725269222894501,0.8397385112416721,1.0848505968707949,0.97778761340906,0.6823660643162521,0.5007375057612721,0.40935811027450075,0.3903759340737851,0.3279805664419527,0.30853807854849796,0.33678543659662874,0.4968852964334727,0.3680365761126455,0.3279032974813076,0.7796806938439864,0.333071490893704,0.3871290428632847,0.3935512039334638,0.4215001694660777,0.5193631117641491,0.6543717883094112,0.7786819881735519,1.4598378512299977,0.9308902721005067,1.1425373387278162,1.8467731254823945,1.071773628997704,1.0348109013300153,0.6818197751908575,0.5863006910339916,0.6128964937718746,0.49250007373956123,0.4306003812119394,0.45872719547417856,0.35330020324269673,0.32763715528399046,0.32499839822861265,0.3582004640448944,0.384311024046544,0.43656372623550455,0.4877739170983913,0.498020294593721,0.5840847309897762,0.6367582632635144,0.6573123269848151,0.6974239968693691,0.783823890261586,0.8405939135670359,0.8891117943750916,0.9333083008292313,0.9222017927852387,0.8437374963943957,0.627475096203409,0.6815131745093268,0.6591593891996941,1.6163599115717453,0.8813009762411875,1.3624515200754086,0.6028489777378516,0.5922942762155825,0.6413502877301384,0.6049016859606509,0.57547145578404,0.44055779900553554,0.47112355084853375,0.5724834653928501,0.6229166484329739,0.4758262000525012,0.8696801088473372,0.6929766052408372,0.6713348620021823,0.905810116956889,0.4632858569446149,0.49920570526641495,0.48641135229159516,0.5458174347609003,0.7574403103926327,0.7962391672247534,0.8329655839265925,0.696411346807234,0.6162974121189829,0.7514231086598455,0.7086161859827304,0.5444404259753641,0.7176389051653129,0.8317392069414832,0.6796401479642815,0.7050156928011795,0.9052909689294084,0.9954616353218763,0.8043477525771333,0.7828347384798653,0.6553014931398761,0.5934954269283685,0.50642831438149,0.5126281524412201,0.5319346237287286,0.4865799513422663,0.45948549304790437,0.4783760869638702,0.5094991263050759,0.4790787756110945,0.5290920351624853,0.7312074016210384,0.6574157604808517,0.6243205183323132,0.6982949367292627,1.1202555305953277,0.9313768947168629,0.838238229045788,1.0679432981332797,1.3137958736926902,0.9641115692273642,0.8836217749666705,0.7624524288664657,0.6741171832288727,0.9058203245560038,0.7558449063012592,0.8349161158847604,0.971069177741178,0.6321512095089689,0.454549618842763,0.35385655989019055,0.3333770610872875,0.3337766954925861,0.3620908537338145,0.4005295429417883,1.404221798666804,0.46599551125363886,0.4538842309883087,0.4895177421251744,0.8701892805947812,0.40340892401617184,0.6715744462490126,0.7481738191140959,1.4459641883682224,1.9688868747262838,2.99651737168741],[0.3899953914071572,0.3116072442931275,0.4109693981963046,0.3067282565731001,0.3138866030759229,0.2837393030279334,0.21057671153314475,0.25374117750295244,0.3110090235309012,0.2862343701808288,0.2973834455154891,0.40111960003220976,0.3046782355216246,0.2987832569676617,0.3614354820444653,0.3254190952185559,0.3823213231020143,0.33687688616708944,0.40678175759477964,0.3878013978796339,0.3998940794735456,0.6051545978264283,0.5216757885296874,0.6946406436754841,0.5291605314792857,0.45701474203110865,0.35819044258662547,0.32878623501007415,0.32080589975422014,0.32724759826348365,0.3517333304515244,0.36056570891489353,0.39754917073430385,0.3807856930771512,0.3321475265745513,0.3504236624476808,0.3079393655199702,0.3688446571719303,0.3460379892689911,0.34874554932799773,0.6563804298234631,0.4075685674110177,0.3993940454524144,0.679743607559275,1.7234055299517945,2.4716590780512275,2.647001418980003,1.0828191423681106,1.1039353639674532,1.7956458653779324,1.022858381820939,1.665394126947385,1.0930615102325574,1.192751444545628,2.451506631224278,0.885168410431746,1.1741564387369399,1.2688250250124227,1.387683697387865,0.9989921380750008,0.8655515885722972,0.6424935094765811,0.4595227679400025,0.554780063639166,0.42801615101798934,0.4301591817038202,0.6179908523963092,0.4143862605593538,0.5595691941294837,0.5064677238001444,0.7985235155560612,1.026035371019916,0.6779967842806041,0.7352943533632322,0.4500362458216107,1.0119037240202877,0.3913506954965452,0.3833495134321587,0.3765676156075521,0.3934404682018907,0.43198298729913337,0.5108602278702652,0.8117259260839849,0.4414923157384175,0.5573893444233546,0.37459949113702123,0.36619328468420614,0.4647735519382129,0.34098574169114854,0.4155651669207552,0.38128563958820155,0.5409486984964876,0.4719499888244308,0.4020112477252626,0.4003290788426668,0.445668120620543,0.47548682847412976,0.41426741407799095,0.39942218302740423,0.5953865231774167,0.3878429470433823,0.5501889884511849,0.34360929881550917,0.4784540901900609,0.5020833552569588,0.4969107033355783,0.5986079020741872,0.5225063703176134,0.5254785224056286,0.6001907200393163,0.3939776985409778,0.3303424835833867,0.2752089960462147,0.34507427956479464,0.3119338348668685,0.30152965092455997,0.396067499025794,0.3309549142943151,0.3842408060279954,0.40217647987741195,0.3369302612612285,0.32477061405781404,0.32169918733022085,0.25729188741389886,0.3083054443856164,0.33260896601371065,0.34521955665669257,0.34365738507436616,0.34727899467861223,0.45462264427031235,0.44275934379782583,0.46040843533214304,0.42170148921925965,0.5226760422603194,0.44308694229090234,0.5317734049374077,0.909847741899606,0.43481075402998554,1.099630570491287,0.4787630912619314,0.4762065224411167,0.5157820306609407,0.46046857316869944,0.3988434830011305,0.35136997024610805,0.38358752052292827,0.33324311328900175,0.36162939485610757,0.29180835791700266,0.35190516639760744,0.4222026660785553,0.42371220714956603,0.6700674882556482,1.2861536729716658,0.9643838110528985,0.4598627025982251,0.3484353926846877,0.39518985916744764,0.3312232213042333,0.39457951767008803,0.38635023158229453,0.3291181278098879,0.3470365898970898,0.30892217750622714,0.40762293492832746,0.6248975374790012,0.6262173881290041,0.9078264981619226,1.183422033278075,1.0520180093461844,0.770482312461716,0.5178218855537277,0.4052797588247498,0.37883981639648745,0.341840500451617,0.3603537535622407,0.3675784695504383,0.5797600962611226,0.3556593967470856,0.4020423203827685,0.7364461613221124,0.3767204238135513,0.41658500083760563,0.42245750327361314,0.4386831467585478,0.5130838538881471,0.6437972929706636,0.725562173116334,1.4620860705578158,0.8701361882336722,1.0596770715887587,1.746211988706188,1.0149970501457621,0.9659716514598499,0.6464291606601505,0.5411236834165577,0.6318929201181996,0.4599248708028468,0.4083188320890212,0.4698430212842531,0.351779906005021,0.35152662532857176,0.3327596958281985,0.3629033037938645,0.4147135580694726,0.4635989080473449,0.5076130485381682,0.5109064464033798,0.615710801761585,0.6155767463682452,0.6245757999325638,0.6673273689858208,0.758122652099482,0.799604690762261,0.8084885142880158,0.8430969245471399,0.9208452339305335,0.8055581591558572,0.6248951582709606,0.6785836441781052,0.6605167281792669,1.6723353109418788,0.8813495700320838,1.4466839951847223,0.6321558428989706,0.6171065257984287,0.66436580225208,0.6057433964793146,0.5854077748162453,0.4323266022115791,0.4990063683113156,0.5555247344941453,0.6382603895180887,0.4865144475884932,0.8195479295567358,0.6405082730228924,0.649179778421046,0.8277275341850295,0.44936119811998493,0.4792958494450498,0.5033639992253159,0.5845037798738678,0.8137531931347991,0.8895911246063665,0.8765790022457876,0.7598384226124132,0.6836606164802909,0.8315918390589286,0.7864938021956002,0.6165235350866167,0.8045709103908081,0.9121120745556192,0.7278236972759605,0.7616420440446909,0.9774213771246867,1.0365488766488165,0.8296105469170894,0.8273610274385345,0.6854429313744793,0.6546225464834244,0.5705171848845995,0.5762928928228659,0.5727116081333606,0.517301448036647,0.4996532743823473,0.49092417699511154,0.5111269769669311,0.4804401812331282,0.5133384835557934,0.6801475724054732,0.612903137014395,0.5695138655033329,0.6200552544940471,1.0022243511631796,0.8141261080283696,0.7829932622852542,0.9353264953671117,1.2721282550643382,0.9569358183320829,0.8392925956461746,0.7096779519091212,0.5991412229966764,0.8767345963288518,0.7957968848420527,0.8732150746590266,0.9695114072455494,0.6912722730924064,0.48259008875482845,0.35421455349265335,0.35772687914503376,0.32207207390930503,0.39436383596355995,0.449278479369887,1.4713301845008586,0.49091478293190555,0.45779303227694523,0.49695884681239294,0.8888598413620253,0.4009485040683188,0.6340413966639851,0.7273773144313228,1.3856700010200806,1.9611438502826315,2.7809623364948304],[0.47288587940406407,0.37715742274790126,0.47249058507937297,0.3777490223518295,0.3145670870471413,0.31050338378884224,0.21594212946473335,0.2804216009479905,0.2772251881110079,0.25770283991237997,0.28436748915833193,0.3833465380307337,0.2900883809766278,0.273415427087517,0.374913182824082,0.32399392290619133,0.3782046362183481,0.3695359956706325,0.4040567683290848,0.4097694090278154,0.3977957555733717,0.5407613701405912,0.5128380677254782,0.6094847986183617,0.49306404671678666,0.4428710953931671,0.36874616978306757,0.32897855436200724,0.3542648263012385,0.3505757766377796,0.36279951722370374,0.38327950546843964,0.42234568336084927,0.40891726884345053,0.35035125047569937,0.3577977130870432,0.3292905332850347,0.3635173624602057,0.34704160080169644,0.3332319950127551,0.6820564915230783,0.43196078163159324,0.3738139243047436,0.5737481769459141,1.5756368667827312,2.3299899547027714,2.34438016880814,0.8607309221614418,1.0181186975919858,1.5945982157501712,0.9119675139179211,1.724816361049197,1.1159775667154106,0.9412127273267004,2.229082545833291,0.9192021013193072,1.3547873249162448,1.0596937327301008,1.3271385038838603,0.8850339454451931,0.8393168124916777,0.6517089428115094,0.4843581703184732,0.6257836207845514,0.43205439951366975,0.44202515406554205,0.6556660886472822,0.4708878834130464,0.601235395587096,0.5373263590562538,0.8498581602437059,1.114134767911535,0.7470882642360779,0.7474490788766569,0.4641159156304737,1.0248533356796221,0.39967306158400023,0.4087289665091635,0.37455285691996304,0.40087034935923876,0.44931609219188806,0.5003777540577058,0.8829743012997321,0.42234261225174274,0.50225840733454,0.3905714136981901,0.38059130309509875,0.4806379024236954,0.3485929420911504,0.43253186776422803,0.3894713342844328,0.5374340828886057,0.46850518262657953,0.40464619525310136,0.3987127598404402,0.4408077507350818,0.48132656787207684,0.41236944914318385,0.40418421921848174,0.6358221281596235,0.40207287834693395,0.572850602885397,0.3659718767757701,0.5160727475011914,0.5204380054202205,0.506172295535775,0.6616254242181623,0.5045084417630763,0.5112875372941091,0.6205065777959626,0.38840703265457743,0.30847714869011955,0.25242168221664363,0.29261241974916624,0.3035366174784743,0.28013975936649194,0.3696940452905924,0.30198190985234297,0.3600494509928594,0.39822996332813837,0.33723295889146665,0.30117058617109377,0.3312249422181189,0.24902020942109016,0.2544805887703164,0.26179187899459244,0.3650758705297212,0.31285756185163166,0.2979269944762607,0.44798379053223547,0.41295909718637686,0.4493874894635874,0.38975615140647674,0.554608702501035,0.4016514832563118,0.4554609827917715,0.9826103812844975,0.37687617591724176,1.081248475914721,0.4104933261854147,0.415659006565839,0.4448526854362731,0.4654961157266221,0.3567804535012462,0.30900587149634495,0.36938977316563826,0.2976591558955538,0.3423756254931588,0.29104857223772973,0.36123119638440754,0.43373302257978824,0.48610328640329764,0.741060230237243,1.4086318370116657,1.0451710223038704,0.5185814923332223,0.3786646451374726,0.4349569507089772,0.3473319369646919,0.4346305652128147,0.373905003275128,0.3181452712105212,0.3005315287604195,0.26968732056015626,0.34899015841689907,0.5183248391234392,0.52307838457644,0.7336483083282094,1.0402786509150461,0.9692032333792567,0.6897618801110613,0.4634540758413698,0.3800083859956908,0.3550674776000984,0.3323226712538008,0.3725864607310876,0.377688126076903,0.600239909451844,0.3748665502784075,0.41964877952914836,0.6741572533556348,0.3650723411185201,0.37482629282521523,0.37508599696678613,0.38718772137500373,0.47802723971105854,0.6205255757978505,0.7107091185257488,1.4193131461143724,0.7974506449582123,0.8810171265471916,1.6343155114442742,0.8996316360005897,0.8782977557920343,0.5774836768061061,0.47756399198714616,0.6148530585370382,0.4109684218814389,0.3833802884324663,0.4511718851899362,0.38313155317161046,0.4329185926344442,0.37300559561661367,0.40128649616343326,0.49411991677497036,0.5391510579931492,0.5436645137604555,0.5589058892181493,0.6757003617862017,0.6409111487287414,0.6466591374617326,0.6863903135080127,0.7592936545247784,0.8472308921961753,0.7880449485687869,0.8111478801504001,0.9554414327386422,0.7927001059299162,0.635838834575728,0.7115180795512017,0.6962390355825991,1.89555859777228,0.9330645536621266,1.5118816071461703,0.7135025034019239,0.7289781865726729,0.7648327981418879,0.7382390896983424,0.650747836995563,0.48909471555402095,0.5707387067866024,0.5648423389069401,0.6178901683602085,0.4779654913309741,0.8606972932172766,0.5439716896058229,0.6036117205382913,0.7533084857973298,0.4234323559467665,0.5063409005324953,0.5773943114865039,0.679527753056232,0.9108970434310968,1.0118902349765884,0.9880286817916689,0.8511211136479664,0.8021208291461156,0.9838053574718941,0.8907268274130198,0.72017891517673,0.9039136870799029,0.9906951069456424,0.7909041868996487,0.8396736368556929,1.0486645507086991,1.0565230926774865,0.8772427098791343,0.8944697764908611,0.7505801106255825,0.740902041305391,0.6761369718907287,0.6818721367063603,0.6472760944436391,0.5866066467961556,0.5888673203195492,0.5409244389651713,0.5485334337287349,0.4985242188617507,0.5255961277508611,0.636375330381579,0.6041019978332861,0.5164019699986836,0.5923628552731839,0.9511972618141769,0.7740533695742948,0.7561902730213441,0.8734924373628631,1.224505315670879,0.9259370503275028,0.8152943636360689,0.7096997426518042,0.6127554442917578,0.8841483134883537,0.7651187357187508,0.8054112589869257,0.8908991352919645,0.635614436071447,0.47545839432361414,0.35307493448749616,0.38961174727496695,0.36576242311139595,0.4252507994737431,0.5530375560460923,1.6680847103964198,0.473115003227143,0.5475792571023697,0.6204350615518264,0.8423627417471473,0.5458636940121692,0.6522946265193266,0.936323149992903,1.5046884820370205,2.188810560784922,3.235284532757377],[0.5159051687472902,0.3810021627946921,0.4923572566515109,0.36489681379651473,0.34825309481123395,0.3589520449915079,0.21957863148232962,0.3366699785478709,0.29915607081497636,0.29920346989717217,0.32661667614097123,0.4304976019093833,0.33863066112166945,0.31844456878985994,0.4359835707242493,0.3797823178526824,0.4213306645334098,0.4159527706525888,0.4228804347828933,0.45679850844018266,0.4172489426737661,0.5470572509942287,0.5199354595532824,0.5880361268524726,0.5271847751669663,0.4611580657167891,0.39297666372637946,0.37908248596354216,0.40592446429444534,0.39931164059764396,0.4081602716030729,0.44418548535006236,0.47581502180518,0.46148003017017336,0.405920376505138,0.4105937341871061,0.3886863802496406,0.4089960794892813,0.39377315719705497,0.3694088605620108,0.7163084749721531,0.4575488566422402,0.39946355694280283,0.5262176311015423,1.4167636600229456,2.1807770726112694,2.189188462290763,0.7834073210310032,0.9834828100726214,1.522879399268178,0.9640207839255472,1.8498125485422392,1.2152573671591287,0.8786543116420622,2.2916004293888337,0.9829968686506568,1.4414191927933873,0.9845283203149308,1.359859412217408,0.8491196809999484,0.805263550020518,0.6875180501133625,0.5288903666685542,0.6330015147836235,0.46333090287758444,0.47050975669231704,0.6708025783177181,0.523904950806124,0.608136506208225,0.5518132094175447,0.8650771476892883,1.137586825672044,0.7757408155500497,0.7142578016538348,0.4934694371580636,0.9512107471223861,0.454002929196052,0.4689843407104583,0.4465710493731542,0.4473213330935309,0.49528529415427364,0.5727709584480262,0.8555040278945846,0.44537028827437675,0.5016753180519488,0.4328686021407696,0.4441050819709981,0.5485183517483708,0.40577972134323664,0.4982510021405449,0.44001065831410285,0.5388006188770813,0.48331405999778315,0.4424727132206613,0.4344525138196148,0.472834133956823,0.5308271819161164,0.4485910315917596,0.4541289254009636,0.6713121053379917,0.4572903760907602,0.6333533473112081,0.4201134473571348,0.5578058469310853,0.537474019774185,0.5161409372174399,0.7073808403110176,0.5001763938757889,0.5222577802049057,0.6042875867377834,0.41589070625477415,0.30489205069171527,0.2752328503922311,0.3197218114243674,0.3394102255745709,0.31984847769146163,0.4399399524088751,0.30593278042994837,0.34045825829339854,0.4015835044256914,0.35813298435823787,0.32423018579664936,0.3611120324326995,0.28185365885149316,0.29925364211784966,0.2891813285060121,0.33250311834391044,0.3395177065509637,0.32149695856998955,0.487097320676175,0.4365826124511675,0.4933356267763189,0.4204654410875462,0.5923860378030481,0.4433410259704518,0.48860823569433465,1.0582726400491695,0.38809717362784096,0.9907831630045003,0.39761578374569,0.4095913177290992,0.3987217641597133,0.44301825506536574,0.3621714696640439,0.34292168190262545,0.41232933825935514,0.34421343525623593,0.383683249874614,0.3275239583450796,0.37973075313358795,0.45371291137954867,0.45516708935217903,0.7482035978838838,1.3386823528871519,0.9417849348770732,0.50967743568766,0.41295542127683393,0.47008866394246224,0.39390271166799357,0.4725094734494627,0.37627518525447434,0.3722989283670056,0.3137517265373107,0.3049978870687589,0.38221715675294304,0.5342934272821699,0.5551915504459757,0.7869040813728462,1.0963837331843025,0.9872860602714673,0.7283123461744488,0.4799792359128111,0.39077929773965786,0.39549392946801487,0.3825922236812988,0.4041398612371167,0.42836505034362116,0.6649259497782081,0.4143938840790573,0.47877269451564963,0.6550702605254585,0.3951427535979291,0.4137282840037152,0.4209300545342354,0.4312590021181166,0.4988962376768009,0.6259736858674405,0.7256364905503893,1.464957833650826,0.8193919203767883,0.8113919740683967,1.483764668083126,0.8379987341545501,0.8288540372074311,0.5792365283013664,0.5043419079610755,0.6295001466923761,0.41812652282057455,0.40011292842851875,0.45717826252318683,0.41734948562100377,0.45714142272998753,0.3830092438929411,0.42623485144716305,0.5258979975679859,0.5503713426661127,0.577758243168542,0.5911908753249879,0.7116588999519918,0.6635280182011146,0.6757284498697164,0.7134546244494333,0.7746196155760059,0.8957859847596544,0.8019275337072754,0.8218155744476879,0.9945354164233208,0.8315799006153747,0.6757778211094306,0.7488337057430542,0.7574193691533107,2.0238540838562997,0.981990044381176,1.5248723086020382,0.7477363003747627,0.777927661753708,0.8149380785495776,0.773430532255778,0.709218016184299,0.5360900621040967,0.6167070128263837,0.5962106598001338,0.6485980071403185,0.5212335106820798,0.8792716858162384,0.5335556088974496,0.6212503262286879,0.7292665507184879,0.4401371723130434,0.5122283227661649,0.6022937592902319,0.7197552864186605,0.9362184282534732,1.0672536862961688,1.0110053296476342,0.8841743554681111,0.8408244420343095,1.0138115659820535,0.9287987694755381,0.7582710261688487,0.9465637000845084,1.0274541639996102,0.8249610757277187,0.8844017378315531,1.084467105325934,1.0823157816398155,0.9037296101601204,0.9296905847829353,0.7926869699873675,0.7877095978142135,0.7246734590361591,0.7285480779013809,0.7028302312290532,0.6386568538309662,0.6325431959414048,0.58762294998107,0.5843961826123801,0.5332453347978849,0.565621568952163,0.6492009669433563,0.6203976001074226,0.5447997155685996,0.6081400602945856,0.9456959877841042,0.7744930254613762,0.7814002385910052,0.8621627181269179,1.2167590687251013,0.9781566558377749,0.8548262136154112,0.7443298322260375,0.6733492062548186,0.9615497087126385,0.8249386896220252,0.8431269879126329,0.9060670481899912,0.6663337348298356,0.5087523375834154,0.37153847683117336,0.3999950322073352,0.4213540273435571,0.41630851611075986,0.5578654098892075,1.6622550263211315,0.43530754258888943,0.5474232049224577,0.6198499486604268,0.8520740623421839,0.589314063888092,0.6852388544657276,0.9377177620449056,1.4899323703496665,2.1514967226146107,2.9411785240894748],[0.5379783931277432,0.3934209151976615,0.532141815683084,0.49856248150606786,0.4608513660940777,0.44147224532691465,0.3522831875674331,0.39599030682589337,0.32995466459382095,0.32474440222466366,0.317960233064099,0.4290104039515229,0.35649472243967034,0.3302423954367849,0.4389925416827941,0.39360795843566815,0.44192933048081284,0.43285654003060486,0.4260278471390925,0.4771463041163346,0.4547628518431966,0.5790791423144049,0.5836014901650673,0.6266353281545697,0.5257641212551475,0.47082750960241715,0.43037708749121184,0.4085740344771226,0.4317250285701669,0.4124426403419227,0.4252964720362216,0.4895691277201348,0.5274745116820999,0.5063149410712168,0.4470713634120524,0.4385750762188271,0.44759609120773797,0.43727077482611393,0.4062624465771002,0.4061641224053057,0.7242917535830257,0.4758658983400793,0.4400173715919742,0.5338637108544305,1.3352963224429022,2.0965113457137146,2.0303970594991334,0.7278793025206208,0.9585065330851864,1.4326321814678018,1.0040597278141108,1.9676462629449514,1.3342066385042521,0.8236252877644268,2.1182248898776734,1.0556953443058354,1.6216898451026864,0.8684754969642745,1.3099040807954787,0.8141442196100683,0.789327732986359,0.6895501096967696,0.5384758991267237,0.6877123656701105,0.47036523826989796,0.4726078454918412,0.7019507944426863,0.5410508271533843,0.6458908794551381,0.5512992770968833,0.8994463574124113,1.2277551013531942,0.8077758067694133,0.7534006199183141,0.5156444736436617,1.0028367549605546,0.47315830154948807,0.49816776490985915,0.4765363996472293,0.4855451073418594,0.5391712131106656,0.5726090051994283,0.9126988543342562,0.4767885886648777,0.5332625545571353,0.4796849027076668,0.4838708600656993,0.5922388523371435,0.4266576624481184,0.5224340659257553,0.456531740149019,0.5647271463935489,0.5199208616976562,0.4813576977083413,0.46658504191944905,0.5073295501288205,0.5756549907958758,0.4955636408556768,0.5166799383186977,0.7514553936975672,0.5093071077906425,0.7036519884779988,0.49340145983803263,0.614877347896885,0.570507316995784,0.5428710949365633,0.7682950947126126,0.5362986899203517,0.5547689940076701,0.651977719473539,0.4608852980699088,0.3865041427001065,0.3412862863185051,0.38610361843524277,0.37120477637416033,0.38887736539469736,0.4532182436582974,0.38858502101369724,0.44526069532501955,0.4841724735332886,0.435128333250456,0.4097386708394817,0.43913280573296637,0.40514691108004025,0.4015288198227652,0.39464419985704496,0.41754942701474335,0.4467562523769018,0.4019980313887965,0.5681364553623038,0.49900242949838275,0.5479350347853802,0.4991873621157515,0.6682375856561397,0.5223188299137614,0.5445308721276805,1.0766324418838547,0.5112505287398423,1.107155870470596,0.5311412671967811,0.5016603071746671,0.47583389444399526,0.45000035801281835,0.39374727895513667,0.37347733644748715,0.40550313028500307,0.37154885334140125,0.40961353571881504,0.4019880617238762,0.4382841268522188,0.4782144850397894,0.5200731480169761,0.8401005991918621,1.5347326850467902,1.0305700060224696,0.6120492149010748,0.48327358702660206,0.5295195992318926,0.4410058763792637,0.5453244759620204,0.44256698140757905,0.40789104290438155,0.3882567455291769,0.3694764532949419,0.4660796285858988,0.5942117291770996,0.6314380988110746,0.8382427590435781,1.1396991635388918,1.0573989741650334,0.806372814721785,0.5754357156377427,0.47680205117814217,0.43735818274057164,0.42507697255853905,0.45260581038003733,0.45976289561877237,0.7047866910548282,0.46000775239079467,0.5335645457458312,0.6409832803043651,0.4522619279479173,0.4707741749647346,0.4826020674872568,0.49312282220559694,0.5269271786131541,0.6510543501767619,0.7170405661279811,1.4662328069432062,0.8389643816366393,0.8289990990463645,1.4986918761544026,0.8362355302564191,0.8419166347508813,0.6404888357105453,0.5743958146851574,0.6683587305353454,0.4752820538279709,0.4850042141688928,0.5121156187692846,0.48540486922306836,0.51995783609447,0.44482856505200846,0.4858541863207329,0.5796022833001647,0.584999249245437,0.6158557683903126,0.6218019920439933,0.7455331559968222,0.6674353081860349,0.6904763715150779,0.7297693138334388,0.7741066929626407,0.9316397767769731,0.816614357044749,0.8346746357108281,1.0083257559118965,0.8747512620979537,0.6980782453049255,0.7817924535717001,0.820286446594135,2.150762454633434,1.0503434267937921,1.569812604102945,0.8080585169793882,0.8624153843955032,0.8951758021630465,0.864334121912316,0.7820452102295168,0.6000340797469671,0.6786730714101786,0.6479047189124018,0.696772733564952,0.5808221880699941,0.9577086131510656,0.5661008131080373,0.6577032511626717,0.7240330619185783,0.4923435322197774,0.575426088185258,0.674229678074638,0.7889283418387302,1.0202600592207247,1.180460533565321,1.108152803732023,0.9668569293089212,0.9454670193757881,1.1342031314429173,1.0202371802127004,0.8348583905062312,1.0483292665285966,1.117896667924509,0.8737630089311121,0.959430212732678,1.1792508219434683,1.1195148666745904,0.9459754864856137,1.0021326147620941,0.8428449415409356,0.8597824119484218,0.801723263716467,0.8031754042564976,0.7612194548531499,0.6857075253494581,0.6934792550655998,0.6368896345451579,0.622603958819602,0.5819264097240894,0.615544983593543,0.6861185599060518,0.6604326829199989,0.5886818575451169,0.6559689470107768,0.9582178344879075,0.816072329032233,0.8367774688257651,0.9145570259571607,1.2531190037343958,1.0465704475936823,0.9274794448940686,0.7852959844528904,0.7341005725100441,1.0549667374910314,0.9161654337885099,0.9373841576607509,0.9636916703825028,0.7059942339478757,0.5963019328944176,0.4631922147006993,0.47348072808923636,0.5079522865551399,0.4502029948765401,0.5931341384561324,1.6640386602005999,0.43675601437573963,0.5658676870299498,0.6280211369749903,0.7956873394192886,0.6158965194572649,0.6944216556470345,1.032068065183205,1.4703950430147348,2.2147172657229324,2.8916838230757262],[0.47459419258633134,0.2986269972756948,0.4548672998185179,0.3382347528835431,0.3583980190303352,0.33613864807200594,0.2605937814402966,0.42755649025578313,0.32521507355337953,0.30430489532506705,0.33514955301605076,0.47281285887973223,0.3761261599308453,0.3296031408312053,0.5082909032667792,0.45820500461261165,0.46318265508944,0.45417256434872594,0.4479246575103067,0.49610802235372886,0.46142546031155446,0.5806069275945293,0.5538976920148292,0.5885503929939202,0.5561072719267127,0.47531043486169733,0.4205883783850969,0.42064809861698926,0.4618807679951231,0.46082270987462937,0.49009537913367,0.5669441301582535,0.6027641446507291,0.5815491047291956,0.5215353398529597,0.4867693271644216,0.5092080819530129,0.48509057169222874,0.433925507610988,0.42757794751777684,0.7812237916194917,0.46853998710554623,0.43125198599061837,0.5431548295358611,1.1817644685345188,1.9546322873217272,1.9017632808470109,0.7234928250897509,0.9465271194554062,1.4029103583728477,1.111800020098086,2.079520231435624,1.4533962602442299,0.8532963058220797,2.1696018220713715,1.1332684330643723,1.708045089590805,0.8705522410865673,1.3720740375330658,0.8201566897592596,0.7391550170970705,0.7138529292570226,0.6021197905397037,0.7126943881441942,0.5143249787386897,0.5022515778956765,0.692656865577902,0.5726195687185816,0.6189703133432921,0.568787120438887,0.8640906916463132,1.2253458641571795,0.8600799312338206,0.7467099440646534,0.5734635813873765,0.976242210467502,0.5331777949827042,0.5743799283612758,0.5473299893586636,0.5598301743292038,0.6033023543777257,0.6404499084807268,0.886540289182555,0.5333994839528967,0.5513314422344693,0.5352073231749661,0.5254841246010317,0.6290738142811315,0.4831207283496722,0.6072396583454508,0.5192312343841069,0.6299849063853106,0.5860489696222002,0.562747698950599,0.5447192705320497,0.5820253686391506,0.6608327844860038,0.5626596963799546,0.5737887347145033,0.7785681799901112,0.5992586861522954,0.739949499798184,0.5842422854286784,0.686357556554107,0.6421850791270929,0.5924502834055575,0.8467455901191965,0.5413967317813912,0.5534433174778346,0.6341100262816862,0.45221578702876525,0.3728891393193973,0.3354888819139815,0.3446210018381086,0.36045493536915446,0.34747576501508,0.46366333498544865,0.3249314403426452,0.38361715814854275,0.46628028335928096,0.39346924274894024,0.36311559187856146,0.35058568695086284,0.30201280323082813,0.3183873943363892,0.3299663665311336,0.3615053247384182,0.3789915231120185,0.3751005187521586,0.5408242728940825,0.4519669097547952,0.5448739680570246,0.467252514560652,0.678228459379933,0.4769324104184839,0.4795227893557368,1.1171908264222465,0.3972294780950305,0.9377880348500116,0.42054949618077053,0.44118343770443746,0.37955316181614224,0.43847365057780646,0.3589842870116625,0.3652749987850377,0.4352870521041584,0.37465493161122226,0.4478447426930459,0.4175828142768219,0.4394074326098866,0.510973602532561,0.5304849155456051,0.8628998410258912,1.360723843066958,0.9131283016381679,0.6310745967762512,0.5357265540403492,0.5810409175436239,0.4993826604223796,0.5754264117406774,0.41544676467159536,0.43271217464098644,0.3521501170639073,0.3738685712872993,0.44971240283113406,0.5270812312190033,0.5763949639066063,0.8030740755739616,1.1092677773658868,0.9903696134685512,0.7469318726930718,0.5001895480457866,0.4389579989858031,0.432887986903605,0.4571697121778489,0.5157125283797974,0.533006248606268,0.7817621790070672,0.5199173780109917,0.6161158475317654,0.6318975619500117,0.4719651753869554,0.4969987892125302,0.5112051415560596,0.4951472121957075,0.5414578377150556,0.6491878414727489,0.7326130023401305,1.4928313702679241,0.8666178941558825,0.7252427210023977,1.3090390313673543,0.7587225772161943,0.7715278287921727,0.5761450435801402,0.5268145165938382,0.6460255637332416,0.40780774987460006,0.4074052938312443,0.4513905875417317,0.45949785807422294,0.5048258776886302,0.4110087774866912,0.43798458790707956,0.5613285272567393,0.5438713546476287,0.560329678470867,0.5851526462750118,0.7311327215918729,0.6237016314523721,0.6718461847038399,0.7253979061518663,0.7605221920604006,0.9807355724222641,0.8345748737136607,0.8205879056977037,0.9913461277471072,0.8408594748286288,0.6816271304030459,0.7832045679215326,0.836003323176214,2.2273848801833185,1.0698526584560921,1.6070799811304468,0.818927297482538,0.8797598096147039,0.9230613073554139,0.8975649261276776,0.8055245986012656,0.6230730774538042,0.7066172908299635,0.6572281498440382,0.7170856356828155,0.576693089956188,0.9338813091126489,0.5252255563814935,0.6232413110960758,0.6575009327295509,0.4279597367892046,0.5538539330605668,0.6715114560815528,0.8118319270456876,1.0205620268707205,1.2291849451223507,1.1095327530184993,0.9760986083424635,0.9765119978323743,1.1438871531648855,1.0406756039685139,0.8458119906178001,1.0762443039779126,1.1394946386557034,0.8746195909050032,0.9812246230236873,1.1968720351710984,1.1148730443772021,0.9566204023091994,1.0290196934998774,0.8605358186925404,0.8897059256830987,0.826980950261295,0.8253815057687024,0.7929384037433949,0.6897775543779806,0.706151466895498,0.6523551382062818,0.6236726308514148,0.5596926101709145,0.6172120600295227,0.6809078287506576,0.6096222667327434,0.5242509191242863,0.6214260538912423,0.9029900286133521,0.7301359809120387,0.7573237272501048,0.8150100819598073,1.1511685470651656,0.9880630792598664,0.8693417131266321,0.7318630281622652,0.7221896697649198,1.0523050819312123,0.8777012032301318,0.8653252684028665,0.882799210270363,0.663358695045948,0.5183782304661825,0.404317932040896,0.41612131419762083,0.4553680196660288,0.4121212218435088,0.5707614075437097,1.592320106960052,0.3778947602491751,0.5231730441619176,0.6019221342891828,0.8014855679745194,0.5485004312807078,0.6932679901505465,0.9727942957821729,1.3769336216136459,2.1987262475217455,2.4693304963056137],[0.6357480942835142,0.42506182472952214,0.5163754280872314,0.4196043150430355,0.4527505017569215,0.4292933613490974,0.33280535453359633,0.4806230071433797,0.3660175032797183,0.3434378655033223,0.3831759795203244,0.508283191715818,0.4256800383987305,0.3702500150119926,0.5713722782952187,0.5335563709893669,0.515156233075963,0.5399773364406386,0.5132447986910802,0.5858484757356294,0.539986172790067,0.5853388213418149,0.6043566213615733,0.6286769251772427,0.5985295798057921,0.5182311332408969,0.49916617693988585,0.47843805178045223,0.5303499200729987,0.5416636639084342,0.6013735162023537,0.6594711719376961,0.7208306269751202,0.7020100312177635,0.6307017593844467,0.5853819991254652,0.5945806532667267,0.5699774785088009,0.5270368397962012,0.5323352446033691,0.7673642557261375,0.5751993790117429,0.5382465290621977,0.6006647163720945,1.1523342942017856,1.923272657540535,1.7476117731040077,0.7993767457308787,1.038178235606845,1.4117537016531903,1.3253479017646725,2.3066970464266983,1.7275807074477867,1.121155508802312,2.0460218195317244,1.2217824010279374,1.9029735501390574,0.8497126812833004,1.3319510672235857,0.8649423358155277,0.79524355459238,0.7843367352883155,0.7136607598141149,0.8657925998457457,0.5925117741581366,0.6004898404012086,0.7947903738736736,0.6768883309954109,0.7093128216108137,0.6711536207097734,0.9552281886236056,1.4385109145736155,1.005095511410942,0.8947981310239588,0.6857273093440236,1.0749198544665723,0.6566362800652823,0.6826817403031525,0.6476053573241839,0.6705673718527161,0.6547635425275535,0.7010596283144072,1.0600989602867714,0.693994364443122,0.6070800637957228,0.626269763208796,0.6021033795786218,0.7188579538916082,0.5895821964796722,0.6966372158599123,0.6566069241418463,0.7577800393745545,0.7192891171546555,0.6926458134237353,0.6575634985418154,0.7194679587352513,0.771514411708341,0.681754073018637,0.6698724923506533,0.899714287851733,0.7052972905556358,0.868321949301047,0.6976712388736458,0.8084926027586355,0.7692621098694793,0.7090330880660115,0.9868696021147246,0.6783704787040868,0.6573799266184384,0.7065184830831106,0.5533663049904411,0.4912025917873048,0.41058070594589263,0.387471694923196,0.38946688586479206,0.36577942161609345,0.4761839795956942,0.3633168445178654,0.43082435451963397,0.5220962097698426,0.43391051668678843,0.3785504818759041,0.37311332402982444,0.3261781925389607,0.3324291502825571,0.34953113688718407,0.4817708634910477,0.455978084970551,0.4455888558175121,0.6138788913555627,0.5294332831011281,0.6468748727646423,0.5610547110373565,0.7860284876703966,0.5474272413813164,0.5456578572040204,1.1624925575567897,0.4487608964481587,0.9866926157184517,0.45188500867779596,0.47356887385858076,0.43512020246126926,0.48325140540403,0.41937804577634663,0.42572314740446476,0.4815782450322063,0.41942632010501135,0.49845047715616214,0.49664874861600583,0.49658038007563426,0.5920572394477408,0.6226483052126925,1.040719842785664,1.5303705871994029,0.9735293316281085,0.7797935934236372,0.6331911480824391,0.705084342971217,0.6090925669509358,0.6531471827518142,0.5013285130807533,0.5125445066503507,0.4299857372818291,0.45746629491330304,0.529396859410606,0.5494269883225771,0.6021584938865316,0.7567384903942764,1.053028421482993,0.9815656632512468,0.751603779424367,0.5477283982980662,0.5197117408052155,0.5307011513376253,0.5645495419704205,0.6530125895723746,0.6510090405061973,0.8983699092111097,0.6399782113509556,0.7646078079001172,0.7161623086569995,0.58324607171785,0.60702673850717,0.6081852871673237,0.5974273522468848,0.6334232416495251,0.7157419115393219,0.8183489945894151,1.4776144624983432,0.8976259989155526,0.7212910857500975,1.315203637615682,0.7929922468940571,0.7929850342345894,0.6392406489413814,0.6289830115859183,0.7228863433229271,0.5105798230777111,0.4896434173767308,0.560792099288309,0.5926407474368867,0.6508358845574047,0.5416874569787563,0.5309452549169672,0.674994979887801,0.633444602681562,0.59432482656758,0.6321283945837045,0.7960579767197092,0.6550850212445659,0.7044220806804398,0.7704051425390618,0.7897722322534927,1.0081107941865968,0.8700486382198018,0.836627963583208,1.0084177602077873,0.8452661148100828,0.7131650905912835,0.840941460801947,0.9155635542010687,2.3440262727595496,1.1744932750143458,1.715196511200706,0.9531652163550702,1.0294559953701177,1.0672233210744733,1.0737224884976617,0.952329636402162,0.7668215283175894,0.8653287626378053,0.8054024799898696,0.8120829351466873,0.6920106438564679,1.035398407542215,0.627365523650581,0.6960251397675274,0.6923503109675103,0.5267885369689089,0.690538407246677,0.8169982510577307,0.953579184012417,1.1512915933045549,1.3518776331434614,1.2347653242444792,1.0767104440544712,1.119071875267868,1.3252650795927945,1.1499722148186557,0.9530167209363947,1.1910174673740435,1.214576410126832,0.9402912349668289,1.0901943079336558,1.2942867756272993,1.1344255167030879,1.0174035584670227,1.1329330651534035,0.9462962471939195,1.0169592276322719,0.9618967395261255,0.9751877124032068,0.9024450394311918,0.7740332990636961,0.8329676150151507,0.7628975055763115,0.7138219653976801,0.6430315445924963,0.7221254332817274,0.7241349709186163,0.6173393712708114,0.5821320005667451,0.6830208470840673,0.913053858223844,0.7203659824921458,0.7301027141333308,0.8031756527725483,1.0975237447624206,0.9862849194701135,0.8590304320236525,0.7245904910629167,0.7320312565929162,1.046932631229836,0.863262463600836,0.8480060918368876,0.8725114664427529,0.6702149133082177,0.5661639354623021,0.5045491367402289,0.48969503915389023,0.542841809873456,0.5562166220224405,0.7187862364554554,1.6302235800587703,0.4983678009324389,0.6299104973001264,0.7343180932198144,0.8085994937608506,0.6105016698598861,0.8212845636811467,1.0658354431857018,1.3756535283315166,2.063404157809592,2.682861755651923],[0.524992486814575,0.3451390551060636,0.49572424476978644,0.41333078209747776,0.4018654318627601,0.3980389962160446,0.3104324192609932,0.45495838573641567,0.39159117414740985,0.39939194596043853,0.4442294341901825,0.5310892970270213,0.45396323568819147,0.42451055533208204,0.5787881145190032,0.5355033800065047,0.5212633422983758,0.5502791369815944,0.5647367086868247,0.6083996406091098,0.5597587376600031,0.612283993832948,0.6618255944636319,0.7081783936596913,0.6220641661293397,0.5744532953409326,0.5482352305823265,0.5212263144401055,0.5340430429913028,0.5282157893001689,0.5807960523650743,0.613221201217802,0.6787106838032302,0.6524649307116103,0.5753891702883995,0.5555955905972821,0.5635582451905528,0.5470896091564831,0.5214325780832068,0.5204356969774924,0.7347703496134159,0.6020846511957029,0.540783185036935,0.5772144387667764,1.2586038640607344,2.0133666973176148,1.8468142272213444,0.739281887735497,0.9717888246170127,1.3408971584397604,1.1428102143683465,2.1113668114769055,1.5398165868426827,0.9786319262958207,2.031935879930484,1.1472428921588302,1.7765735067950057,0.8406228940699595,1.2721704488307304,0.8641624866072607,0.855008465841684,0.7658864003588607,0.6945068650088773,0.901298925830152,0.6162208180831652,0.5923612982948981,0.8403772600833426,0.697112638343267,0.7624713061712196,0.6980618571714434,0.9927475037834839,1.4580206246552303,1.000893507745911,0.954051325187779,0.6710270033378773,1.0989902803422753,0.6472292659665209,0.6541550461766927,0.6157145372032585,0.63377157987182,0.6340082357171718,0.6396402174875547,1.0160757721573719,0.6475623275962606,0.6075090381354092,0.5814606128150995,0.566399976194855,0.6591203805702373,0.5571194519662578,0.6626233103873467,0.6305857078448135,0.7097022511127646,0.6696501544188985,0.6299815881517612,0.6185624968808434,0.676329588354118,0.725429913428852,0.6348131246498933,0.6478928410827453,0.8550945665319059,0.644397433741809,0.7623328180264972,0.6134953580304238,0.6964456035770479,0.6893734975879647,0.6491044971821378,0.8416112744700536,0.5614455440938129,0.556092312157985,0.6951250899126746,0.4671230790777877,0.42282739342335013,0.3883264663961508,0.42989878699541406,0.45125013917015105,0.43438839650325217,0.5183281671071821,0.4406915210909184,0.5149890501919855,0.5651807049699148,0.4980210546059495,0.44447384804199713,0.44838740746726385,0.396055599955835,0.39689481518207415,0.3821863495289399,0.45451471390970377,0.4086095791461785,0.3714861937957914,0.5736307899433738,0.5037452290490606,0.5593681252595334,0.5142381550513195,0.722475373662919,0.5296033133559497,0.5443532553992526,1.1154534779838539,0.487675425557784,1.0927807902732998,0.4748875439563991,0.5051303922140798,0.5135390315635526,0.5427649345659152,0.45562354332215105,0.45871134975730676,0.4952547060390155,0.4428375131189966,0.49355090108406396,0.4756541845238805,0.4881693336649519,0.522389219808418,0.5904884649893163,0.9404513359828146,1.689343152909261,1.0820428363217613,0.7230689584306979,0.5999424885576141,0.6125822617809235,0.5598948682591486,0.5925380918209914,0.48687594010033075,0.49275636902840825,0.45055689022401174,0.4697010810241222,0.5136060293744688,0.5931924001988716,0.591786423819051,0.7193660925765211,1.0351757158945143,0.9948529099047676,0.7559012600561791,0.5809362391364074,0.504134522812677,0.4975515046484779,0.4992854429653781,0.5807740080763297,0.5656663330490714,0.7814213811114608,0.5688957097032704,0.66064352809656,0.6821318527840825,0.5353318646495511,0.5372681157333794,0.5268499494115041,0.5228991356586583,0.5845794719971087,0.6906738289170853,0.8003113563464322,1.3819757022623342,0.8130624906073605,0.7708855828910608,1.4726025374810314,0.8428723820957501,0.8314731782503377,0.6451746183850958,0.5684243176719969,0.6902388738290455,0.45613678641715966,0.44006915958692766,0.4911599495207637,0.4947000985907911,0.5569223793002419,0.45020227844073185,0.47459859334799176,0.5967599455350964,0.5881901531636866,0.5918739366631909,0.6104567934770515,0.7461052240029518,0.6500176964923409,0.6813960469627847,0.725601866854312,0.7632057610185801,0.9782051249409391,0.8297442741099774,0.8303780287289401,0.9949329917923595,0.8638926253266347,0.6912220278329051,0.7853843669206502,0.8437841137231681,2.2927798684996152,1.0820841955632936,1.6103898785992534,0.873170582464609,0.9551023660678684,0.9779980008039082,0.9738916010744373,0.8538701892577176,0.6503371860496195,0.7371368657625397,0.6802160933844348,0.6947041367611912,0.5730075826777998,0.9600140803341431,0.5233235088006876,0.6367653302125403,0.7204088694941766,0.45432434406520245,0.602233146674821,0.7229891433812394,0.8473769408539555,1.077255627659381,1.2651287362486807,1.178187501227735,1.0037541262951444,1.024769304083361,1.2311764613321683,1.0747949357961768,0.8689655569603786,1.0973324320335573,1.139094930004392,0.8873039559409224,0.9964946770273201,1.202724210945018,1.0812619499415819,0.9572970655237544,1.0418623171930521,0.8679908415040745,0.9071477351499331,0.8519455787561349,0.86222654669571,0.8090235767141314,0.704905212690597,0.7322156252653786,0.6726753035298404,0.643342249854699,0.5881965622959034,0.6429807940278123,0.6786705977318336,0.6308404357404914,0.5454090019547553,0.6333977490978496,0.9218646913589087,0.7658603092069002,0.8001673937329229,0.8671849485449128,1.212952602867427,1.0291309485020093,0.8996149810058555,0.762452714663113,0.7160540685893492,1.0333292147175814,0.8768407451038429,0.8797601523836281,0.9076986573324353,0.6700492635606701,0.5440148197903626,0.4276929652253942,0.475162932287094,0.4894309732001246,0.46013378566921415,0.6324911576823721,1.659831174948956,0.4423717261617969,0.5966310718982589,0.6897107636284174,0.7049969830167632,0.628368241597231,0.760694407960053,1.1277067655088768,1.443113882144491,2.140500838923854,3.031331962952502],[0.5365329545991195,0.3716123018157701,0.5488160407244635,0.425531636198053,0.41022026073177187,0.409523931769933,0.2832851369631047,0.430524054877088,0.33473335623233846,0.32439937587744827,0.38119558810393683,0.48755311702089593,0.41243729452119127,0.37585981277768127,0.557012104122405,0.4973246507108121,0.49410797652081284,0.5197104864642224,0.5127662045836706,0.5677050195442821,0.5147178532928413,0.5825044048124153,0.6113659092118902,0.6354160821010815,0.5973796631066858,0.5190645389680112,0.4965798540549704,0.4670250872564353,0.498808611661743,0.4996324018430607,0.5472780093535441,0.5834123151985623,0.632859366135358,0.6148238219237058,0.5479747969294889,0.5339957840675581,0.5417321790779421,0.5283072273845555,0.48913743238399826,0.49877539478216415,0.7432498643066837,0.5584638008431585,0.5155060883143016,0.5785687123969946,1.1252473249451644,1.8932034154978574,1.7062857153594064,0.746542408301912,0.9964847273676015,1.3458117834324954,1.2318758455435488,2.2032895980197327,1.6146645459085727,1.0237187370655607,2.0387984914789663,1.1670175000808982,1.8334797868177604,0.8241667391035766,1.29426057996415,0.8373893396878854,0.772940174825593,0.7347593341743262,0.6499608893634005,0.8218533588675011,0.5586307014952321,0.5481992452020766,0.7663837848190821,0.6400159127747731,0.6895612108721222,0.6377940074861453,0.9236384669160077,1.3653574473947292,0.9600540382414297,0.8284105351219822,0.6239366004923629,1.0019497006854423,0.585284766098923,0.6101118896675681,0.5850387693951062,0.599166172852013,0.6053851794337541,0.6493481968487461,1.0023862933174992,0.6343214801620886,0.5942096906913222,0.5762861918362202,0.5577036928120582,0.6637963993593724,0.5285920688113632,0.6198561889794124,0.574479198435906,0.6746688496233151,0.6290969607868847,0.5956071551633824,0.5804825643700734,0.6399176834075078,0.7149023465582468,0.5877913922773783,0.598579047154011,0.808056726099398,0.6089407221188236,0.7536835491769126,0.5953928962745216,0.699215988532694,0.6890409470285184,0.6491226779589755,0.8717901674924755,0.5807056297379001,0.575287051173051,0.724285598252216,0.48775786369249907,0.4232062330410667,0.3504649277238826,0.3752023357167321,0.3814769798273738,0.37632701399394847,0.4716467259064862,0.38652344214218826,0.44627508696816137,0.5162537455573947,0.4441391411678221,0.3867975110482161,0.36840839447736173,0.34349586572152147,0.3368529418951434,0.3478642961231006,0.49535838302764285,0.4140545593252811,0.3866906201568601,0.5811676342576148,0.5191523140108855,0.5895139803679009,0.5264677439762985,0.7438547745969715,0.5260366295663814,0.5136391961832363,1.1195143293862877,0.4676750072080699,1.0747044841650233,0.4629678588566194,0.479054610101772,0.43122406949418934,0.4742972578731466,0.39986446551441857,0.4170892139374876,0.46372947504304235,0.40054085155056196,0.44518279406573097,0.44468346341357295,0.4560796504945619,0.5129224224023946,0.5806529731693791,0.9335082126917746,1.683260516844543,1.0603426997620788,0.7001743181852997,0.5705647924395736,0.6030239726386014,0.5310972004308563,0.5786972690327482,0.44213987444974034,0.4621267399508076,0.40215591911202353,0.42812462168394483,0.5174708955183942,0.554722039319059,0.5873169456546989,0.7113417641640056,1.0265717069284195,0.9891196387380503,0.7597538609836603,0.5636611337606168,0.5025731182371337,0.47503159941279777,0.4816676684796737,0.5694504669877171,0.5540030196341058,0.7958482407596409,0.5604191078686346,0.6769375704836429,0.6622319796089945,0.5244329718411253,0.5392804513765418,0.5270835340809376,0.5195564725440697,0.5873282322537107,0.6944913646164739,0.7949289292081899,1.40291593524928,0.8110166156413985,0.7208957180573479,1.4211165254037355,0.8201632417089844,0.8144914363205812,0.6416151001491751,0.5933463747780469,0.7019441948639094,0.48859639162217167,0.4817997578023855,0.5316281145689407,0.5563369572197514,0.6224412905953697,0.5054893820757813,0.5331928910604805,0.660267413245773,0.6497964710394797,0.63287926657587,0.6622151165067824,0.7922026322027129,0.7005722834060407,0.7171285960656029,0.7631817002419717,0.8095365294124526,1.0047024526487982,0.8456519954422339,0.841410106497717,1.0138806606891755,0.861084616510172,0.734820666574724,0.8158975865409707,0.8742899023278237,2.3645575002193766,1.11861211311197,1.6337411376514048,0.933643787872298,1.015240088711245,1.021657153242499,1.0326552847395623,0.9029377317888577,0.7057516602616039,0.7926081703313727,0.7460725596632123,0.7399556567180311,0.6275477397015268,1.00630708812401,0.5532502814509209,0.6580317517944767,0.7077146621288085,0.5141102327629113,0.6529900728640211,0.7894242734514427,0.8924775331852008,1.1181006173255472,1.2811557757816503,1.206386662364393,1.0413560725339202,1.0622105588311659,1.2701900528746262,1.1050464630037957,0.9105652316441804,1.1134074065580633,1.1507671049245722,0.9234162368512198,1.0154593821812121,1.200652288781955,1.1021744076734032,0.9854883546216202,1.0542394829534312,0.8985171676756472,0.9336331910361048,0.8904841851404958,0.9061220567201372,0.8472630913812935,0.7483017233053246,0.7814455150820319,0.7224236421907484,0.6856430185614746,0.6408126559558887,0.6973885426873382,0.6971284190975895,0.6604075945990939,0.5797351209047054,0.676490515177659,0.8811804658322757,0.7600350636214008,0.7964974453383851,0.8535215498930621,1.2260658730056726,0.9790206081618625,0.8799246135381353,0.7801534163202368,0.741331535151887,1.0147688805715607,0.8499286949033056,0.8340843359951267,0.8778972128138159,0.6640162406721273,0.5718792570229633,0.47453590982476596,0.5145887037636392,0.5386747288102448,0.5156790821246904,0.693983692404572,1.678409235605888,0.5041995380239982,0.671270486496755,0.7773903989719713,0.7017929335199314,0.7062380822262869,0.8339019790927296,1.2488266883066566,1.5049166470509718,2.1589127926796947,3.3152292552662623],[0.5234707601438552,0.40147254160892676,0.5876645693664365,0.461717277202922,0.4104961128090667,0.4257627447048621,0.264276014823391,0.36733997199019586,0.28391700594976127,0.2771969684766874,0.32582241234304493,0.43181750016022347,0.3443826731550286,0.30965749210935867,0.48101271770078313,0.416225559700132,0.427108220414532,0.43744648044966533,0.44384673538649416,0.501277822521648,0.44920207622339003,0.5262245024518747,0.5643498884391006,0.6091908036714755,0.5436427620282253,0.4731078015581796,0.42951889475078414,0.4111565511186755,0.4159396977515609,0.4171190327167147,0.45729377502496577,0.4986552656437929,0.5434171725662622,0.5208684445006982,0.46049374679722077,0.4554929280257927,0.44604146248184773,0.4419535450447938,0.39567296722325296,0.3980818857832518,0.69708349788217,0.48531428863602283,0.42698397327211307,0.49526728635761413,1.1880079588234447,1.9646958113224635,1.808278876628771,0.6617500679446822,0.9362687745812962,1.3330514286858608,1.0678649547833634,2.0464202427407727,1.440526809989325,0.8748310213039393,2.0417233951886633,1.0837924840399082,1.7123069488113951,0.814509050404374,1.275931834109003,0.7983455502185683,0.7555626544534699,0.6956390728442224,0.5865095901813219,0.739919151831043,0.4931866637370061,0.49430342942013705,0.7078584220327079,0.5666634837112894,0.6262657847371874,0.5746366032510233,0.8804758286440435,1.2452384521049094,0.844643736496639,0.7432026235096345,0.5586445397083846,0.994497429828199,0.5067844415111324,0.5199061559496753,0.4977731661826053,0.5084518370104559,0.5291388651540397,0.5651428237356079,0.9455051831463438,0.5223687070271278,0.5165423062636714,0.4775865112420402,0.47848001660793466,0.5851827011456142,0.4437212286678932,0.53434411489831,0.4881600981954601,0.6010613338285452,0.5423493765641595,0.5177695608519679,0.5045884715600278,0.5493550314983591,0.6376266476579365,0.5105723930532196,0.5214236072591998,0.7292666376105087,0.5198502569240483,0.671808047833254,0.48458874069151336,0.6062130572675206,0.5920172796875364,0.5747254771946251,0.773747099659899,0.5330896972939817,0.5438193260083348,0.6860997564807703,0.4455961516312662,0.35744695846034175,0.2991890021349665,0.3221640773165782,0.3320561954077244,0.33210590156303144,0.43939758474274865,0.340845398950465,0.38905766959524934,0.45874735966416574,0.3910200035453563,0.34055362357430374,0.34029796304619964,0.3061439168770884,0.31433014863327985,0.30611329828541,0.48350301223641867,0.3662264726239127,0.33526588622317166,0.5431653402016192,0.4839342537544878,0.5168919929902422,0.47197739129004634,0.6689893768123011,0.5018980856731177,0.5003055601357855,1.0761649588003173,0.4650862525755802,1.0847247312759263,0.4289232500079082,0.45639395025680585,0.41412711302110905,0.4532002445005218,0.36126253814963305,0.3545836849131605,0.39260644143179174,0.334757651818543,0.38282716841603504,0.37128966369211797,0.3989559530124857,0.4738644259560847,0.5515504357782778,0.8345773628684555,1.5674570938898889,1.0829919594027466,0.6042297415737364,0.4767334899462779,0.5294169259821283,0.44441062986950836,0.5122303781342632,0.4048235154161719,0.3932829933646863,0.35618513177014555,0.34700390701931577,0.4538442033616852,0.5370738148322264,0.5691079371780676,0.7025695812425031,1.0129310119486141,0.9863056218527675,0.7433283909623148,0.5495283310657535,0.45038879202445126,0.41284090099294846,0.39690388802704,0.4711228647040412,0.4646474289653412,0.6892843355177151,0.4637641255498258,0.5573713135496225,0.6244339210175873,0.4414192396989001,0.45050564124519715,0.4421132212701182,0.45224155097531693,0.5177837481680438,0.6319943586177147,0.7134312221016437,1.3761376562996224,0.7716508302625567,0.7511943315423399,1.4892401131637525,0.8302675097157544,0.8272961759760068,0.6123886557605905,0.5316585020298448,0.6736359164403382,0.4602859380045764,0.4561842687069665,0.49629425590444715,0.517660040982676,0.5760934388884603,0.47705551269186525,0.5189960393569188,0.6282730541821808,0.6431812584293504,0.6525343352335702,0.6597864102528137,0.7744127685130564,0.7266931287743095,0.743895003421015,0.7635376831178879,0.8165652320504515,1.0062512509627959,0.8652177004692804,0.8672308300698306,1.0120405954422038,0.8792560930802437,0.7299343751756877,0.8065939496828617,0.842589262534809,2.2524477919609565,1.067264186950218,1.5665561001276136,0.8564953948085108,0.9230658697512215,0.9443511105194153,0.9476676227176783,0.808203380072039,0.6408898617965374,0.7128964066586119,0.6891613506022526,0.7017840775059863,0.5782982066255056,0.9728645889718324,0.5225751771432111,0.6384997800690404,0.6914412403076042,0.4754504087194695,0.6085914389892807,0.7206895256040955,0.8234346763487602,1.0346113352549235,1.1753293006347811,1.1330992317083781,0.9674809301065842,0.9645580271718174,1.164312035222624,1.01602713521006,0.8513282292107903,1.0290642109360237,1.0849306986451286,0.8882690063467373,0.951702971865093,1.1316841352261715,1.0805781936400147,0.9482704596097337,0.9884108493743016,0.8512488483456285,0.8731990636420257,0.8258075870367854,0.8411199764988538,0.7996173228335255,0.7188346441433388,0.7366504489845475,0.682007298126445,0.6713305806185176,0.6196675297224773,0.6686005334436129,0.7049257405734765,0.6810628158263036,0.5789149672309946,0.6726955130883491,0.8876277664073774,0.7723362698182288,0.7996394108862607,0.8898763474981471,1.2659664138288862,0.9899241921796746,0.8896092060564768,0.8063993261792058,0.7462629555621663,0.9875955356355457,0.8355626444201976,0.8238558088431347,0.8648338867820284,0.6539722068831222,0.5583769827496597,0.44198818746929786,0.5006691101797655,0.5244295778872644,0.49856461209995223,0.678650813263546,1.702535333249958,0.5102381518519322,0.6808555114319021,0.7688130435795674,0.7123769702031348,0.7343960480477285,0.8252979688171713,1.2141783498145278,1.5813319485085904,2.2499959012341537,3.6187925054427144],[0.4866745074690739,0.3957007024234664,0.5946166956844534,0.452147724444384,0.402069269392876,0.4068557022681563,0.21134643618752613,0.4053238297384181,0.2738422401420442,0.2694470384858042,0.3272205639087963,0.48038489923891603,0.35123245289223404,0.30858023448497024,0.4799010577507174,0.41089283021147166,0.4465071288220644,0.41949853299219036,0.4122983500333763,0.4598486365936213,0.42603550317819633,0.5556159657625267,0.5145604019800087,0.5568209637662692,0.538705163680687,0.43342838621363505,0.3907771597500435,0.38220876386800967,0.42684625561584844,0.42858730617141266,0.4454882850466326,0.51607267024518,0.5528999294977407,0.5257568617821012,0.4796198454393981,0.45592729481598293,0.45255950921766513,0.4397115985751551,0.3999136016139282,0.39888158288937037,0.7445151275688787,0.44872654817727964,0.40953155262661783,0.5127606795254902,1.1016555462525481,1.8783021569123153,1.797374621557651,0.6954913325339712,0.9162251996589044,1.357275984391885,1.0970384211835187,2.068341753598946,1.4273381004906256,0.8479005887630405,2.204583190911174,1.100362648334537,1.6535909465545833,0.8821877014955946,1.3842048303419174,0.798705528615697,0.7400362906790733,0.6987686867837858,0.5746305285017991,0.6495257749883608,0.4818282498233768,0.48105096076242027,0.6705428353465352,0.5463949416594761,0.5598629079735393,0.538520922834008,0.8295593282255385,1.1143458954202548,0.7853956967878826,0.6473556613742913,0.5467961848929478,0.9084725299380554,0.49177885781595365,0.5236362160744439,0.5042691833589782,0.5114213457439443,0.5621878381643809,0.6178621212023031,0.8714055120871994,0.5067328196530821,0.5172627298438575,0.4944538668564701,0.48826997814418505,0.5732058252632583,0.4402309373321366,0.5593423098002308,0.4752345146889874,0.5709393813402954,0.5470477091445881,0.5280213287558708,0.5093991399188452,0.5435872275439955,0.611526908751144,0.5041397743413588,0.5092044820355505,0.6818272513442752,0.5294837441783977,0.6963219209914956,0.513815811728476,0.6332656330918687,0.6209922905903247,0.5902863468514998,0.7921651018732954,0.5258453320929058,0.5377204610683123,0.6651740766352827,0.4402153580613359,0.32727296550062523,0.28661980072747817,0.33115508088366197,0.32452265228959,0.31762124355975524,0.4413633805034723,0.3005664826079424,0.33712111336345685,0.4194867158273893,0.34236318710111274,0.30722858700678213,0.33132282967586807,0.2882851718009761,0.3048923801742276,0.31704970668335775,0.39921199752775355,0.3590296040462074,0.3448213127764943,0.5419139003440302,0.4684008153065381,0.5214319438823809,0.46914118696708085,0.6630373104682774,0.4844466090174651,0.47999905373606866,1.1405708276153204,0.45337011091160373,0.9550504110518883,0.40309168414321156,0.4610121874201487,0.3764487029194457,0.42471615491110876,0.3500242136202486,0.3314609262951948,0.3907205898735865,0.3267159529724069,0.3934559724067562,0.35457507712159525,0.38465601400588556,0.48329697175725694,0.5188342146795883,0.7980905372517958,1.2542340546479935,0.8746200691639104,0.5722757414292147,0.48079011541322747,0.5373273989858707,0.4538923167719716,0.5214302666789297,0.38257298734707346,0.3773437940406145,0.3182805517646746,0.33147084989403613,0.43583106753488754,0.5211571601874979,0.5730793457693395,0.7506965934453197,1.0533788415667231,0.9802598125408435,0.75032871036505,0.5217220511373067,0.43265628681265256,0.4019776145450752,0.4050783429223977,0.4713481858660875,0.48944068311027766,0.7418870554163421,0.4659699693585839,0.5839487020677507,0.6216733892855594,0.46009132351271026,0.4767276649005203,0.46504465965240516,0.44680140454860146,0.502129281127679,0.6278925984825522,0.7090197802370644,1.4493736029195443,0.8308950667676583,0.726832751683109,1.3604323211841893,0.8005060823813196,0.820886035206226,0.6112922341152021,0.5385797608804821,0.6862598802383549,0.44936172772449856,0.4478429725513538,0.47834873230630737,0.5008383376478364,0.5444182706134466,0.4543252681541464,0.5092688732632139,0.6108705936963363,0.6221891551280926,0.6433623854807419,0.6511768555892855,0.7528794174296864,0.7147970543206845,0.7306798966006088,0.7439047479804863,0.794944015334725,0.9909444904853383,0.8410544304276241,0.84573631772814,0.9776577927744627,0.8565279501249534,0.721423381972645,0.7922066901634198,0.8275958322374398,2.2307631041689975,1.0483681841389791,1.5502105406212807,0.8332423411077171,0.8896509721245056,0.9115235656285974,0.9111439105140076,0.800291589532056,0.6380919513695043,0.7058157153854708,0.6786482563497029,0.7110387108445617,0.5802066630538772,0.9519250639680655,0.5264624964493833,0.6418732712653279,0.6835053265236936,0.4761494318589582,0.5862180295574961,0.6934876881038429,0.7880030279741964,0.9812495884198291,1.1160282415124845,1.0649593219002573,0.934163244543515,0.9036003789421764,1.0635416098326307,0.9637892247777662,0.8084367296876266,0.9588585667237092,1.0151907850153583,0.8454507934043642,0.891785728462946,1.0453813796293498,1.024899142470207,0.9063763232996717,0.9257424831929563,0.8107768465931692,0.8233342867965094,0.7801702115790196,0.8026265969367041,0.7669683539951456,0.7022520889869003,0.7207431425812135,0.6679087093882521,0.6615866607187967,0.6154915889557576,0.6622323769391578,0.6941230331153013,0.6708355500417609,0.5779221590770001,0.6626821764356875,0.8846205567148581,0.7643436765198507,0.7900131708524135,0.8587827544918555,1.2186814991544044,0.9270430762691638,0.8495442567082935,0.7916405008487527,0.7408961174273607,0.9611356994588094,0.8130991871569786,0.7939702297796661,0.8473015656086175,0.6469196120316679,0.5551430519471133,0.4397109714372957,0.48781834530205415,0.5267833335990174,0.4639945519298596,0.6403939305530151,1.7190078741672905,0.465731759332797,0.6564812549029624,0.7310083194136527,0.7563604043406082,0.7427474149591694,0.8153754410935837,1.1570149659763185,1.6323842650051466,2.268229461675187,3.5416849178250307],[0.4814811097428772,0.36926438644273796,0.5094423332534338,0.413042518504408,0.3013031090891716,0.28969583230582324,0.1580644717664132,0.2767703125746864,0.2512006436411228,0.2773602709507566,0.2945167236569136,0.41256553202704505,0.30253215580900383,0.29588101624226826,0.39263774826483133,0.3465393914413108,0.3853799038183231,0.3569551445085523,0.3676573026235769,0.39448288762270134,0.3757690336068306,0.551517298933139,0.4513158883396164,0.5468019760481792,0.5250320566675598,0.42138676309196715,0.3509768987890598,0.3425565452413262,0.3639658501825267,0.34779678232656147,0.3642164719798897,0.393978453449632,0.43424823917897654,0.4107551546327724,0.37027135302851294,0.3654787728685449,0.3523551160738113,0.36423652713174864,0.3427426915496862,0.3338977280340321,0.7011602553826505,0.4042965561636381,0.3690654150551007,0.48631969712930717,1.2784993152580642,2.0549973303028066,2.0430020240680085,0.7063410668028439,0.9296133627637937,1.4500949688551417,0.9477238399105191,1.8793755145318383,1.2206747413354755,0.844976596355077,2.3041314320236497,0.9729324782073144,1.4477148326717855,0.9803471621142656,1.3676129269903816,0.8199897591637431,0.7581562663739474,0.6635191012820832,0.47328068838745163,0.5593469680303587,0.39091144133731215,0.41555005177432935,0.6215928755361096,0.4482618477503258,0.5119041924783091,0.47643609170009477,0.7862304169601879,1.047563003332091,0.7167545896264192,0.6036685313987574,0.4531380003678142,0.9165332743698904,0.3938770359336321,0.4229559723631001,0.4023567490134701,0.40461847930416517,0.4657097285254146,0.5541437014704503,0.8230223038777237,0.42859802645624795,0.48465511596066063,0.408803234932593,0.41256538985408675,0.52717816426331,0.35022281111195946,0.4767819043946982,0.3830958892336036,0.5005462437489865,0.45047802857081465,0.39303473920271376,0.3925246527849894,0.4151835809317287,0.4879794858482355,0.40103690891059596,0.39756988983677005,0.5928513929535706,0.40468812462195014,0.5797312303433766,0.3626817170219393,0.5048654455430417,0.5074402696274085,0.4953544792422502,0.6733746018914615,0.481581430313182,0.4928884013002644,0.6102939547550381,0.37875736292218687,0.25999509563309087,0.22815062869140076,0.28862764410317704,0.29585182783903624,0.28572999976922914,0.45383381330895955,0.2889204972995587,0.3282430054192627,0.38682816604618986,0.33682550793140503,0.30374418112650065,0.33102454413364407,0.26234341635844444,0.2602402440170683,0.2654083042678442,0.3348545872758942,0.29850400495146,0.2651104000499322,0.46507891568463183,0.39648531297714673,0.43741497877608737,0.3886763217283416,0.5719821903950975,0.4275058429040973,0.467454707259486,1.0683618419730876,0.4025550605933896,0.9842666443000574,0.374643341319269,0.43476126597926956,0.36989723710908345,0.38813036539982193,0.31683716058253375,0.2956921440967402,0.3628163342915018,0.2968023304084624,0.34885523616092906,0.2858748781702619,0.32973613237213273,0.42107452979911475,0.41718169331285315,0.6744252130402124,1.1934745301494734,0.8862573442996639,0.46535665149685745,0.3635104017415106,0.41207460064552914,0.3284586636589321,0.4182780851929948,0.33596408285382734,0.3084961118021611,0.2906313157882604,0.27215402792599164,0.3903351239203821,0.5221178453435439,0.5500475282712313,0.7542743502140101,1.0559629552155925,0.9772277473056072,0.7257385433253951,0.4898461631687309,0.39060375312707424,0.3686270231740518,0.3328100368991444,0.35905521497305526,0.38007736036498047,0.6029829865083441,0.37504473101579733,0.45593884603674195,0.6324874923195829,0.365898907638934,0.383154936790751,0.38354863290842217,0.4006823396998625,0.4702845781598624,0.5992101664937359,0.6851138582955839,1.4433218091861952,0.805557635706673,0.790266168399717,1.483835061672364,0.8370720954301163,0.8237632196791541,0.5512953811261571,0.4523084417551267,0.6075013681371209,0.3686790840299656,0.36032235098173077,0.40505253189285356,0.36628044476350224,0.4064196581753899,0.34401859039211513,0.4030326492316996,0.4861833598183798,0.525116992055608,0.5507054112522718,0.5556159761225856,0.6557036744807307,0.6286741757977335,0.6377843718450793,0.6597791454046604,0.7269839398463095,0.8692428187195707,0.7574307925812913,0.7837404951070488,0.9097860292656035,0.7729207288006243,0.6329117192385117,0.7099048256878427,0.714905285015182,2.0199396430995864,0.9534844325897857,1.475035544935012,0.7202695516066998,0.7522159864200838,0.7675749079451983,0.7633039500245928,0.665519740805665,0.5019221767418971,0.5646951227520626,0.5578840037874072,0.6026717843100227,0.46220798555279907,0.8839722312210535,0.47668120330875774,0.566487800043109,0.6988042926930628,0.39056377639424683,0.4916053824238111,0.5695817788347259,0.657428051184854,0.8853122987672902,0.9663294013888031,0.9446685199294762,0.821090430867202,0.759845517716436,0.9292091884432527,0.8358780564219834,0.6879144399137305,0.8494530734648112,0.9260829573628431,0.7531639573972911,0.7873572022742525,0.958939633914054,0.9631866741996075,0.8346665542840958,0.8398585218541553,0.717827792752335,0.7089150924254733,0.6504162871195149,0.6665328031324107,0.643622200224755,0.5848934347893365,0.5887452821693255,0.5444711414182932,0.554028416856537,0.5056327753830584,0.534218727046746,0.6091840272152211,0.5891319034427561,0.49478979801870343,0.5934697377149935,0.8531977285003186,0.7237236806361413,0.7454445419404767,0.861470644076589,1.2187091100969132,0.8735207023759448,0.7777397090150796,0.7153855682925617,0.6350238473510739,0.8915299545566258,0.74758282124517,0.7530085776193256,0.8380194003110178,0.5864680987227545,0.47698777469362624,0.3518459414921012,0.40473313290124535,0.4084664325483457,0.3875449378022679,0.536069167693607,1.643500736677615,0.4276939368621946,0.5474453220741577,0.6111669267096945,0.8126594553996438,0.5775090607552998,0.6822057269660072,0.9509185970942834,1.5819477007842209,2.1383063810484937,3.3353154955467277],[0.41548962372109627,0.35250350941373226,0.4816585061295971,0.3652697814437378,0.2631037457567789,0.2390925664142676,0.14881337388425728,0.2201096536262965,0.25922047183145625,0.2500306136447778,0.24632304757918486,0.37218875473694324,0.2639579168999314,0.26753769983909464,0.31304532865029727,0.29671518694503485,0.3659920317025762,0.3232005707971496,0.36888179894787304,0.37676606746460883,0.3739876884701349,0.5860499840331318,0.4806477947990011,0.5944457684427611,0.5212311156146054,0.43364671418159056,0.34692349023852087,0.3268184925481782,0.3285612420845973,0.30259415048909966,0.30326962997605816,0.3370405363080094,0.3598507576165104,0.3438844169094405,0.3181178860886907,0.3352736608830322,0.3078499916013198,0.3516808254860291,0.33228018789422303,0.32214480409286167,0.6873002717378861,0.39751898795654883,0.37479873929790986,0.5414131681095691,1.4697139092073108,2.238996639546017,2.3028356982323293,0.8410799804453337,0.9841935080205356,1.5935165488591079,0.9091542588691266,1.707330486129674,1.0781053868982333,1.0149558295232317,2.4234552566462555,0.9043791775813688,1.2675157459329496,1.1850309145140931,1.422100017056298,0.9229265217544275,0.815933560987497,0.6612966102002952,0.43022635216864297,0.500435606571196,0.4046424867013092,0.40593848254364756,0.5830163319764289,0.3889517473541822,0.4888582971530626,0.46082732599402976,0.7698064120057393,0.9854475688637433,0.6523157659079527,0.5967746790760651,0.4240551066525624,0.9095537512517234,0.3554969897099581,0.3741747643389755,0.3817981179513134,0.38216765623756677,0.4151960876846846,0.5223407475885136,0.7914005891820899,0.3938606103396647,0.5014738247420595,0.3786433411504363,0.3868260079088694,0.472488597193088,0.3308489252126786,0.4211558544610211,0.3243655212836849,0.47769620663447687,0.4110425192903054,0.3326024486979888,0.33156910334659434,0.3598210604177377,0.42910266719182755,0.3529071818911791,0.3425256638522077,0.5336094260701708,0.35032812557335463,0.5056557446201403,0.32625291276979107,0.4463774697982691,0.4822619029106445,0.48744882914443244,0.5978400098052692,0.532065423485624,0.5258193678525137,0.6056832628836207,0.3858440361130787,0.29740394833586187,0.24844382696051734,0.30091538389297273,0.29706451869668804,0.2700079298890004,0.43345416076494525,0.30198845698682214,0.34166768933271635,0.3726766944491843,0.3446161967107703,0.31464878631086346,0.3348319075297717,0.252993718635817,0.24196225526635454,0.26645993736154244,0.3422647311506494,0.30858622449616013,0.27726295139398616,0.42088832493885264,0.37166708036162044,0.4031740111585014,0.36280633899707415,0.5109735490234177,0.4022428519840279,0.4597416580308562,0.9965775894101891,0.3901422707138517,1.031131544140367,0.40334773796139917,0.43538421962443347,0.4115669617993383,0.4073802970603292,0.3478099606341962,0.3109695692491504,0.36959143661223026,0.3107313245095559,0.3537361986938275,0.2737952239862606,0.3239737424156163,0.3968150047059206,0.38756765613899274,0.618786376418333,1.0919399895133968,0.8537658688215519,0.3975970294014232,0.3077156565716576,0.3569422412964456,0.2993870356416704,0.37880786461700766,0.3645586038255878,0.31203633911701867,0.30813044985743476,0.267375783461561,0.35300103197642574,0.544926956312452,0.543964088634959,0.7654031339440139,1.0570018129014904,0.9874130828758726,0.7130106549246107,0.4871184156081857,0.36387474119010355,0.35644655291385763,0.32818239004446403,0.3397451801250428,0.35672029675607386,0.5748844113496036,0.3487769464711246,0.3858923259525839,0.7094697368763282,0.34453300465282316,0.36591018946214726,0.3599979948530567,0.383105608730051,0.47010368727549945,0.6008467956117716,0.6863575047817367,1.4500848301534444,0.8141635710812476,0.8834944095686854,1.6147904150168602,0.8867218535352733,0.8565255799350661,0.5592864007760285,0.43853242690703503,0.5888383267711831,0.38470986519018746,0.3699926846793139,0.4255275155863704,0.3279816573934007,0.35015613948989277,0.31473482116191587,0.34670286576904785,0.4090288842679906,0.46821484119488377,0.5115219908445513,0.49604889434381205,0.5720539801911269,0.576327084384022,0.5834627946404528,0.5907979107767768,0.6688212725767836,0.7649450936931677,0.7151383951476661,0.7744578254345982,0.8339443028190601,0.7313134590225846,0.5795859234558866,0.6240043842305704,0.6131638193031235,1.8180421930726416,0.8499006760132118,1.3962282081267487,0.6413859302289447,0.6545783340092663,0.6827656059667314,0.6693015360768464,0.5724942109041921,0.43517100402398257,0.4871085910126391,0.5301344822325008,0.5629850131465354,0.4267893808047776,0.8775868734690674,0.5309271896694249,0.5808513875153216,0.7649455922468289,0.39272099635491386,0.4961120251383933,0.5284269013991427,0.5904749566212593,0.8194001127588001,0.8511031283971149,0.8872730961902802,0.7441195934787365,0.6429203915958842,0.8368637018198593,0.7372927409906519,0.5968469023271016,0.7467120983127851,0.8375016630415998,0.6694737640144461,0.68284077250556,0.8645358389700186,0.9139416030765294,0.7515921477823687,0.7434725266954406,0.6206699659477852,0.601644186566776,0.5364331743538565,0.5607153049846527,0.5459630267420402,0.49884545919042367,0.4987042813720666,0.46655972322151856,0.49250280394408635,0.4513640529564242,0.4718786192203905,0.5995393924593331,0.5696739804217695,0.5125962441360026,0.5831507892968453,0.9147470680471677,0.7746853785885646,0.7321121342057342,0.9148099258990035,1.2497594326279526,0.828140943032983,0.7631587061290431,0.6852467382279511,0.5975725353207597,0.8488917085464635,0.6977797616039532,0.7204512016563308,0.828562962294589,0.5551991811563037,0.4561372723597472,0.3269358896574241,0.3855189384297973,0.3382437820124459,0.3878149444897943,0.48810246395692874,1.5260545523166449,0.46475856253194836,0.49408930492445585,0.5577448112117258,0.8730709481296628,0.45096575514651904,0.6363369287823499,0.8225201148058331,1.5600833930899143,2.055824398837262,3.328083183457471],[0.3606991455474183,0.2899341549738608,0.41941188944442676,0.2881125931256803,0.29187504131173425,0.21077481539420403,0.2550933371844086,0.26570464366857954,0.2890073059187005,0.26394255947703926,0.26946278225432674,0.4017685075127432,0.2950433451842349,0.27562887536340314,0.32635278740759016,0.32505372612926986,0.3807699719914354,0.31182047426124243,0.3523978537542966,0.36694771296500595,0.3690453058401345,0.5969329505281233,0.5087139754190171,0.6406484366950735,0.5605189641649465,0.43477523764403475,0.32610690904907,0.30582160743546905,0.3096272739837521,0.3048751741297161,0.3238109694900093,0.3780636719882341,0.3857608248995075,0.37082955076460145,0.3403989039962917,0.34250307205912495,0.3352254073542277,0.33434007165957097,0.3036869704012944,0.33888856256072264,0.6524579086115272,0.3629063007501731,0.3608611686538437,0.5737920292935701,1.5366021570799455,2.293340799362956,2.5001093727279295,0.9730899400118157,1.0459347315183034,1.7183469499819901,1.0098391772332167,1.7218927979105523,1.1049863500596342,1.1349108417708107,2.547219598472849,0.9046897193304727,1.1960546851248797,1.2599317560736076,1.418475497062633,0.9942058974369867,0.8142221709092772,0.6563072758532227,0.4568069410957902,0.5156395746277328,0.4179799984379503,0.426846805139131,0.6043894343245955,0.3846163995673712,0.5305286970489196,0.48364735399769104,0.7835479081555791,0.9903858221569226,0.6514570328242028,0.6606703830409041,0.44207314818581167,0.928116939977498,0.38322598881177544,0.37046864817336295,0.39294861952909027,0.38695352134988986,0.4407376560091405,0.5872689297252135,0.7583685671128547,0.43299162143935477,0.5371275606841649,0.3909341797507627,0.379504379087231,0.48312599817420343,0.33692575884133497,0.4422223995751865,0.3394602197231271,0.4826887357833186,0.4324764112670115,0.364907702695657,0.36379587968362276,0.3959682402958777,0.447160636077575,0.38751511558207796,0.3740617193961233,0.5747609046452365,0.39263661681204637,0.5557262996494204,0.37264944230583114,0.5060770662761905,0.516161224763166,0.5083053378300734,0.6304945902152135,0.5542729507815565,0.55266959682574,0.5990937740036344,0.43532153536480656,0.36364878204168405,0.31080217662155424,0.34491891230892263,0.2907495152925069,0.281046989701754,0.40447142690818416,0.2925851686228255,0.32315648037872075,0.3676179307325205,0.30790951914969195,0.28727474983230344,0.3003463454800958,0.24111606806276478,0.2641069306088776,0.3294512489086291,0.39396904837738655,0.39463907775774093,0.3967265376246809,0.47187547134749136,0.45130915919744524,0.48389644857545266,0.43493772900901845,0.5323360781769483,0.4589377522690994,0.5582058630671553,0.9289526868648748,0.4278556767827621,1.0265337168909339,0.43686305548169957,0.49841866236430205,0.4846214050500796,0.38638648204575005,0.354804820082218,0.3161008125885334,0.34864001151684126,0.3179509233663503,0.36391429801533626,0.3180258753429968,0.34034058352808594,0.4310636119281428,0.39591270007059814,0.6380367300595998,1.1408139179573997,0.8476512207153294,0.4360724948051833,0.35516264712374407,0.40794962332931867,0.3508694263977951,0.42928809010355257,0.38906314648086077,0.3396708741315497,0.31966622329440436,0.30682787381110826,0.43604180201359294,0.6401507566081313,0.6582237252139519,0.9590283889551005,1.2296354313786904,1.0729678228358908,0.8030552654015731,0.5263312759924867,0.4408014155301218,0.40274037073583197,0.36546663270076846,0.3794893279098632,0.38508369626369704,0.6077397466321527,0.3779859975198121,0.42691465753305535,0.7219577044579327,0.39028984636923986,0.4275425565902528,0.4628223905546552,0.47915548794131907,0.5261476962058748,0.6383999373993903,0.7286138565209628,1.4864700887038291,0.8842453437706004,1.035878853626084,1.655073230752734,0.9842168089282148,0.9512602882067868,0.6332722711190858,0.5137983114676298,0.609145218139381,0.4400125482566305,0.3788157267947676,0.45781898115724007,0.3110023893770626,0.3168912370086972,0.3097485431848952,0.3087320258589382,0.3616392716645333,0.4228779450059478,0.4670619976349907,0.4574707672466393,0.5679288590423929,0.5801489764053047,0.5802247847219317,0.6224248581604501,0.7308737710792453,0.7769195157789291,0.7697018693224116,0.8022010154090519,0.8553579165109428,0.7490950321087302,0.5761051466567736,0.6245062342007898,0.6076760352351253,1.6724162894291916,0.8309826762757203,1.391919419677385,0.5786210559274163,0.5599654205139994,0.6197230311881651,0.5681078948272893,0.5371805238704493,0.3897082116391635,0.46985015132178914,0.5336069016275092,0.6161943874169795,0.4676607248950488,0.8014260251022608,0.5866098476607571,0.6105875389193871,0.793794864009382,0.4112332282792812,0.4502499312834866,0.4623875740811663,0.5439211036520337,0.7476731068740491,0.8335659914860579,0.8148168380868852,0.6984645096758548,0.6187217633871471,0.7468530524874176,0.7170375209069046,0.5649863620844298,0.7376905399218391,0.849921129800281,0.683796861075588,0.7069514572013225,0.9000480897138157,0.9859207026248568,0.7926391954343098,0.7770713464936344,0.6381284951637199,0.5976475213515828,0.5123056171583168,0.5196270998482967,0.5275475571997628,0.4681055182783577,0.4532079088583689,0.4379224939932879,0.4600557687471714,0.4245392810940563,0.4575980045146161,0.6356360105142664,0.5562126820646318,0.5125612770950732,0.5700758858891031,0.9438305454711349,0.7663721084663119,0.7308860840367629,0.8822848252283696,1.228579362796518,0.8750879171581116,0.7753503194463452,0.6705026100791652,0.5688136465640075,0.8473798232281475,0.7300432238671887,0.792382055469257,0.8998972798183428,0.6327047021463776,0.4565716897183376,0.3361993957779169,0.32407592235695915,0.2937757687084088,0.39309964083182725,0.41568296590395915,1.3805100959293886,0.5154405529394542,0.42726657722752887,0.48003090485025096,0.9403705884116337,0.35270618996719144,0.6622888174562431,0.6224809210824767,1.3859721128265474,1.7936953370183788,2.606620088010077],[0.45616238401928033,0.48576915096085627,0.7005792774333839,0.5872940341061226,0.5450169637805921,0.3743186833166664,0.2202728649613715,0.24236688830231884,0.29091218702699684,0.2907776302140293,0.31113642659507346,0.4030220979589679,0.3163548826991166,0.33360904732028146,0.3785035174625647,0.35924268296837364,0.38221980467968053,0.3554182488326342,0.39969818071224633,0.41101952535792907,0.46845085162421374,0.703984657863055,0.6365703157906936,0.7943593827761719,0.6702643881520658,0.5308856390872616,0.3854475697493583,0.35326881121547127,0.3573212359688839,0.33229390971398454,0.3675109947727,0.3569123733738933,0.3980449731257817,0.3834501373209168,0.34324969342156003,0.35867817352493087,0.3544611818947067,0.3829846451970975,0.34330275445769115,0.40482072169392364,0.6007447842927254,0.3936846989406716,0.41388604707125376,0.7777932637723699,1.8290762106188176,2.5828267703386025,2.9498441507984294,1.3500593795873634,1.241195182102916,2.0695688275811412,1.3120384127441895,1.709762588558303,1.2744442047270739,1.6652966027201135,2.8032791998336326,0.9519541778810996,0.9840044745249467,1.6013294845089394,1.525157396165972,1.1927925755954667,0.8916003067688985,0.6626944597118716,0.5128430353763903,0.6148643913854818,0.49635393787178494,0.49960983491379946,0.6686325341956296,0.3916607219879442,0.568592272362024,0.5615327573696131,0.8236352745005971,1.0350807126375394,0.6819031482512461,0.7407257627497934,0.4991606937195119,0.9559119221525028,0.4102697319579407,0.37729373867334126,0.4137186486435528,0.4186378341032727,0.40995656430806865,0.586814427209652,0.7610953416976568,0.4871949837681194,0.5839503337867711,0.3816691264308264,0.3725756460379942,0.47611974151989567,0.37526178040823205,0.4285532472950123,0.377763594939069,0.5572648105554764,0.4950710554096038,0.40666322832271423,0.41295150205745224,0.47492319797044763,0.5258358029389281,0.4170224814193338,0.38692192906741685,0.5188832204937383,0.36395949731897564,0.4897336686049195,0.3453418333831966,0.4550100767085073,0.5229778655161166,0.5126405230487324,0.5877854707032608,0.702824996780866,0.6624745905528383,0.6098357635720865,0.47783668081266284,0.3764448970524548,0.32746886512762474,0.37319365202139493,0.30160457150095765,0.3205549832684025,0.4375288507017273,0.3885246580912692,0.43054770524827707,0.39032579978284004,0.41174935458417794,0.4029958603090187,0.34738952556129843,0.2943525992043218,0.3047069317532276,0.37913361859730293,0.5241622493506808,0.4302798901789193,0.4164348744159286,0.469779360762051,0.501486119417033,0.49154084370180423,0.5052272680340284,0.5262446647001905,0.5015816726259295,0.621285467794599,0.8680530075331787,0.4387862077501732,0.9801806094100747,0.487962419453796,0.4918961002421204,0.5497707562743369,0.4029433282862044,0.3820369409855293,0.35545406392987333,0.3720865485074118,0.35024539215611833,0.36688453696803025,0.32065367048721183,0.34988296252816664,0.3928085177533384,0.3577003144956596,0.587396731433535,1.075476597069047,0.8388571367696978,0.38070663048920483,0.3207798625052656,0.3619961447095996,0.33243483609269653,0.3911322369929941,0.40866934460100796,0.3763755536663862,0.37321016586640365,0.3639167701260712,0.4804162496642771,0.7080962600131537,0.6619113876164724,0.9941622738990357,1.2167479801349428,1.0394984340666669,0.7505738810079128,0.543463336707447,0.4832741606357223,0.45208438923505656,0.39149672770869004,0.3715770529670798,0.38639773274279365,0.5450594767141161,0.3974877208788032,0.3936746538182413,0.8583401630101658,0.420371146670902,0.48300116945336086,0.481900053291483,0.48936672173416185,0.5606479757895314,0.6586214961837976,0.7919316327165349,1.4962089857515886,0.9746314157183844,1.2079340858659502,1.7907954907007817,1.1182042350608057,1.0864537273988626,0.7383545380714076,0.6920101843022683,0.6885383584068694,0.5785518636159543,0.5208207381740385,0.5272421857239594,0.4572547118458855,0.4106673859678481,0.4296611312624069,0.4380433926809298,0.47864740336984046,0.5361820775474981,0.5618646755359187,0.5893597688256508,0.671299875133034,0.7702877846352822,0.7945125284650622,0.8331115873765901,0.9252142938529322,0.9855268613637261,1.053796079593303,1.0835225045537897,1.0138594706304642,0.9176627402064441,0.733698896898675,0.7732110953599004,0.7561747875538283,1.5641483087473969,0.9614059752366683,1.318234774279696,0.6517005565035453,0.6264233289307095,0.6749883017885664,0.6389507093606027,0.668641513377151,0.5580916947572314,0.5547689378240099,0.6880252904254301,0.7306431058016302,0.5761483322619555,0.8938817259838595,0.8168935771441657,0.7792739237283629,1.0001992956061352,0.5676679024102413,0.5604875896446956,0.5349928540669194,0.5753244337330262,0.7351144913914947,0.7476448649738364,0.7968471006980878,0.6927509036095056,0.6118324121648805,0.6935697443305803,0.6821054763208929,0.5646956240805269,0.7022042864612039,0.8049193194639241,0.7230669907094767,0.744422310281668,0.9041666378965443,1.0445420732183475,0.8909691781299363,0.8541820114563837,0.750279822119394,0.6582311159849539,0.5579506054163853,0.5696707116491196,0.6128518791358931,0.5720798182322895,0.5320109707515152,0.5818842693571652,0.6090721988297836,0.5785086248316226,0.6502336855677386,0.8304108961217103,0.7539401325764641,0.7415523065817241,0.8218772750043282,1.254389602475531,1.0457715309708435,0.9149536894265532,1.1439414937643095,1.3387812110619182,0.9970680859423675,0.9558033955000284,0.8496564777269423,0.8386248104589709,1.0191776288938383,0.7777366935062509,0.8339668672117815,0.9940839736402453,0.6512345883130662,0.48689430406068906,0.44192935416286105,0.42079655927448456,0.4385277085606956,0.44651543300963165,0.4401323382057362,1.185763562943462,0.5624842926283425,0.5543634330071288,0.526446993008019,0.9329627020497068,0.47734248536375146,0.7683525170967325,0.6139358618480631,1.4389987137467324,1.7586888912195007,2.6688339002767836],[0.48655487659714003,0.5151184828410859,0.5651131046144681,0.38741292140710404,0.3976161751581595,0.34022762746122887,0.28302791420988466,0.31613976650496844,0.3993943173522795,0.3646867647783096,0.3893819753957151,0.453235759461289,0.3697611024135884,0.4064652597309304,0.4387518874427532,0.3940420380565558,0.39856570597634855,0.383091157161457,0.45164235602228997,0.4081787515457896,0.4456975098968107,0.6856340664738807,0.6225100532143111,0.8013018674495572,0.6323039711268507,0.5318319431005537,0.3648913796938811,0.3515590283012209,0.36187409502164863,0.3559084557095501,0.4039999394418123,0.38519684029629914,0.4150722728743603,0.42086783743137285,0.37003742600859196,0.389503273271298,0.36334178327824973,0.39245339157766573,0.35136488343838373,0.3919196221940838,0.6259843047409781,0.41154765466427506,0.43631208518103354,0.7976013731487359,1.8651038424795845,2.576150503881895,2.9444608413309625,1.3406216945754035,1.2099297822128203,2.010296343303623,1.26864129323982,1.6954909617546035,1.2179683021382355,1.5642333027282134,2.7422962152183,0.9339027185889839,1.001527218450424,1.5528594584988717,1.5172657025483252,1.171225185620015,0.9337645432319197,0.7094846225342257,0.5219125857426373,0.5649328305341091,0.5095115551961977,0.5192169862774532,0.6310179871106048,0.4065551159139306,0.5888717692928872,0.5609659009945308,0.8208420108597713,1.038770664335641,0.6795140305463028,0.7922488404740428,0.48579048224405,0.9522665010989371,0.4240343418988901,0.4021213768018503,0.4191047943047102,0.4257690003490451,0.4265452610109171,0.5840838154234808,0.7804554715083054,0.47868654502993957,0.5821456538014702,0.38988968213382774,0.3787662272388682,0.4915213759082631,0.38216612558426916,0.45697923726998435,0.40558104147666413,0.5818488898937942,0.5528312824526697,0.4688115963497051,0.46376055619002393,0.5243075129514371,0.5238662860495501,0.4699705627318147,0.45154022034627267,0.5947669000701138,0.40572378211822985,0.5261956882224751,0.3731825680686311,0.5135623377551077,0.5351067263586304,0.5066419954953074,0.5947090246608083,0.6076044738351696,0.5766697580931704,0.6132344685359429,0.47588209842723117,0.38844378514089817,0.3406718481990629,0.37037188483566735,0.32829488723421035,0.31268738072593244,0.4450651215245744,0.40351021828634853,0.4631561921591485,0.41223473771589725,0.4485780855102832,0.4017063090619199,0.36670953084659624,0.30100587144266217,0.31065784876768915,0.3794710010118939,0.5033227640213858,0.4617205916896552,0.5093035831549934,0.5352451476215028,0.615588335730664,0.6112643571679953,0.5855317504073899,0.5712700188071462,0.5684773900487864,0.6720250016680553,0.8386361105528392,0.49491916030972544,1.0446501687457537,0.462503568876959,0.5219730321668415,0.575934841143842,0.40705717584241,0.36928944286865795,0.34151247206329177,0.37012178740524243,0.33511325149596566,0.38201140850679516,0.3342242961112258,0.3708363603916657,0.451671498250327,0.42978274599301514,0.6694439930889168,1.1568234725239586,0.8879617560043509,0.4530014911506862,0.3808718633254951,0.4094839184680067,0.36210355385864906,0.43335833307039034,0.40842036339738663,0.3691895653683719,0.36340637466278203,0.3548177662558384,0.498824913153625,0.725795327039493,0.7698281802502831,1.138518551360286,1.3896809006171043,1.1607427761212346,0.8758055945069277,0.5760142475129529,0.5019216334485369,0.44817826235391983,0.3864826344674977,0.3707670295123362,0.3922805841106743,0.5741286865449553,0.3926640838201229,0.3961817290883812,0.8057453554505369,0.42943920538144353,0.5198100380884201,0.5528628765818793,0.5540526405294796,0.581409901145701,0.6534593858406669,0.8006924429825077,1.4484113867247779,0.9826302420713473,1.303376087107643,1.8789955255883892,1.224085518578043,1.1716149252275558,0.845867084341848,0.7727070867229164,0.7853455875330978,0.6828557665040419,0.6070013278149496,0.6404429351196492,0.5042536032494269,0.42663751808004363,0.4512933567553587,0.4952009189626214,0.4852317162677098,0.5207436510092104,0.5797575542372028,0.5828804007805162,0.676965553870775,0.7293403286621657,0.7455227920513916,0.8179832519392963,0.9372099762774153,0.9430120083542044,1.0083016290842455,0.9791010231862639,1.0111183020209078,0.8721759233773092,0.7175369588282943,0.7688034211843121,0.7448950894186579,1.4319654549556131,0.942768838593604,1.4107998746372317,0.6745427293643471,0.6400010439472694,0.6783488383414571,0.6313930317631361,0.6916037377410174,0.5446388015740454,0.6047958896446217,0.6958100931638169,0.7641565723707436,0.655292337965688,0.925100162129552,0.8743431886970785,0.8113667429341654,0.998233190643464,0.6399459018272903,0.6273895317926407,0.5845696250429208,0.6077192422260359,0.7773621151825433,0.8530774919579152,0.8215966664152026,0.7446146330583405,0.6525652282159392,0.7218050740177225,0.7368752792009295,0.6120583789234221,0.7730891991684399,0.8824939243526672,0.764518411079708,0.7979060078830733,0.9804176030486642,1.1195204514581738,0.9118718545764891,0.89455277899982,0.7600582127707639,0.6830951419952059,0.5904682915779109,0.5946137551889414,0.6309235825512047,0.585778914667853,0.5563080042659174,0.5971665269156293,0.6220232680967197,0.5993925288585845,0.6514963957163565,0.8250372725363998,0.7176043841865158,0.7264271973847645,0.7555845095358726,1.1033513498981067,0.9151855860971088,0.8641168577458073,1.0678711741402878,1.377327642283282,1.0329665161618378,0.8937226928940113,0.747424341189312,0.6890403484693282,0.8767037702856649,0.8670854657928025,1.0072404197316955,1.112306416088665,0.8468878993297296,0.5939148478040182,0.5372545364784461,0.3955402167530192,0.4365573382121262,0.4886890215840504,0.4856821005048027,1.2751567930848922,0.6200234135892954,0.528308425660621,0.5523274984391178,1.0060368702599116,0.46018803131489183,0.7803576199002077,0.6263941255376899,1.294904456709289,1.7449678406711238,2.3934417396064718],[0.6896166029484232,0.7150041442881658,0.774341730746902,0.6071706866716265,0.5266717953848661,0.44676940323414266,0.29510439795415033,0.3403188518594022,0.3699886590691226,0.2814803837571946,0.3018877403945708,0.4065537524090063,0.28142529608559796,0.2910831308757995,0.3530704084474235,0.30058794484646484,0.31481753876799945,0.3088842373176222,0.43104534047123244,0.40080441195707717,0.49591268878869993,0.7552647272800498,0.6855708728939831,0.9099756411682253,0.7130930762508236,0.5873970065263819,0.39934236702776327,0.32673880241180364,0.3108775829302447,0.2886266160342116,0.3255865781736365,0.3277389934791074,0.36560935483849266,0.3578202183249811,0.3114136239394966,0.33892293955941605,0.31184836277582856,0.36671914896687463,0.3388499690235109,0.39881946134686513,0.6047546037712945,0.4032178163007163,0.43074021200289536,0.8547141137433195,1.9455667747215368,2.651191420443479,3.1174299801248506,1.4868569133138296,1.2909432241668315,2.1613691210902366,1.4194595334816333,1.7416537850246427,1.3190068625659874,1.7461744640139365,2.820306683463545,0.960846931089151,0.9445215013279519,1.643323986040633,1.5189450728704326,1.2098254385182035,0.9035544105336349,0.6524666535534737,0.5077436023040203,0.6253448537190058,0.5235684824543702,0.5105315488865402,0.6518549161419992,0.36445496474123734,0.5577607919164425,0.5229546005740067,0.7933339895890192,1.0374642344836833,0.6551015964087818,0.7895198639388241,0.4546434755284975,0.9786547792920093,0.3869548649834385,0.34072189185986396,0.3831111208246049,0.40684126155476746,0.39214725755990143,0.5818444246459922,0.7370324414576226,0.491111808097462,0.5910941791345754,0.3681441719943618,0.361770562972703,0.4444853247439366,0.348143727920678,0.3930315088858478,0.3532826094526103,0.5488350829598254,0.4940787585961052,0.3693123542306883,0.36364278671100103,0.4385382149463043,0.46036176961473135,0.40901799466630795,0.40722208160636914,0.6119149747232027,0.3869418441452241,0.5284683302222516,0.36552867399308986,0.4880759999833979,0.5308135215493515,0.5368262213023707,0.6437587505196716,0.7199010694250279,0.694941771050796,0.6556675305471248,0.5603998540357191,0.4052937772711839,0.3482953227987039,0.35903548486421594,0.2734403150871403,0.30649034158663846,0.40009683437543203,0.4391967262231531,0.49126405089468006,0.3631771006407072,0.41885507960364166,0.3428505108727301,0.34619209102087156,0.2516913324757021,0.2609755405686883,0.3840133361859684,0.6195244333262583,0.49216320934494684,0.5320544202652303,0.5504298942561668,0.6184908502679844,0.6134590379842502,0.6217054337752682,0.5966512494783639,0.5971043864868656,0.7102245426058654,0.8568426320885462,0.5232513249809465,0.9959984355340584,0.50378985347747,0.583683306104699,0.6936819174902126,0.4312825193458206,0.3910045733953977,0.3647296409190992,0.3520274272012286,0.3293509615237013,0.3478852358090954,0.31008412211124653,0.3507330178305761,0.4664614725449089,0.46735837992850265,0.7231638478921526,1.2147683276065449,0.9339007500559803,0.4737776414438026,0.3801815284355844,0.4116291114471675,0.3400292526034894,0.41665859633467567,0.413856259443241,0.36343812591435015,0.3871747380850088,0.3761089648476372,0.5421055491913102,0.7934916801950362,0.8082451061314254,1.2147374470352252,1.4295755214775476,1.152346813118233,0.8601201211391538,0.5963514374322679,0.5237369462058382,0.4680372950460663,0.3991945072869702,0.3804756984181326,0.39201097146068675,0.5603426776700969,0.3885914494417564,0.404425947949258,0.8587456158524849,0.4485019627392333,0.548078593870889,0.6014373944007821,0.5808249920226795,0.6130794816686772,0.6627276296207495,0.857291217423097,1.474145225801274,1.0840979486304976,1.4325497941856558,1.9049403236237192,1.2821293003297054,1.2253518680180255,0.891681224499306,0.8471110756346394,0.809279191271358,0.6949731635696994,0.621402645372682,0.6114496519908748,0.523584718902944,0.4681072293877739,0.48444729032584544,0.4990639769173823,0.5521146190852516,0.6117030781478411,0.5567656234607116,0.6296561345960447,0.8047936537165225,0.8756320021148142,0.8811114434068527,1.0135251190923786,1.171462436102787,1.1667976183784994,1.2286335548966743,1.1640223138536134,1.129984302278223,0.9503734518580902,0.7929219116619738,0.8698072003754758,0.8389201839475613,1.4464332641073363,1.0038479566724992,1.4507282976797466,0.7172829446165259,0.6614608972883627,0.720971616210529,0.6500682544434676,0.7298468705021541,0.5887739133177639,0.6482197683536991,0.7656060609618246,0.8426369272853005,0.7028362318423641,0.898676841898236,0.9758103585885545,0.8673238538690402,1.0391585768719653,0.6628183150991716,0.6260131227065859,0.5844833132132488,0.615987274617862,0.7439044048489969,0.8528214238999103,0.8049911497868459,0.7400147385287104,0.6890887453100345,0.764642544476202,0.7760623436266602,0.690113690550906,0.8886319566224999,0.9957685937246399,0.9074654428204403,0.9568143039023067,1.1536721001911332,1.3081485113875368,1.1080605426301853,1.0911272089898232,0.9234708596542067,0.8117275093037407,0.674671213649496,0.6671024593370186,0.7361417786259098,0.6715964530319807,0.610041356919608,0.6609641328841611,0.6851833325217783,0.622312573627937,0.6945493736498367,0.886302226763057,0.7613748192164489,0.7894924977004398,0.8482598248404761,1.2611202584015184,1.0169710798682294,0.9020698796250823,1.1018220387689004,1.2854637447339452,1.070007749830114,0.9105285496347817,0.7988111591067861,0.7887801253567518,0.8355170065966139,0.8113639588322362,0.9921010844736406,1.0652326526688614,0.7684542929155332,0.5614238519003532,0.5380148137600966,0.46194994620046387,0.53157432317118,0.5696927155073089,0.5857915756589522,1.2243854774472043,0.7131989504128827,0.6668787491094841,0.7166908224606744,1.0843702763897862,0.640387104658906,0.8941862053569951,0.7431050142410611,1.3082690839956648,1.7367855625242143,2.2563161283345905],[0.4439560724000149,0.4336668984690165,0.5247866343410432,0.47283844647402984,0.49230286937875983,0.44441264175536627,0.4246651442642242,0.4553961439407153,0.48080652592826734,0.4365839932057695,0.4572407168898346,0.5128457398935778,0.4491752667760483,0.4710763139468471,0.5393847106204115,0.4928141025034935,0.4576981788586308,0.47532192195654405,0.563303392047616,0.5275823880480436,0.6360978541296608,0.8670547912264989,0.76239310681349,1.024888252363735,0.7389177042288625,0.6748920465700101,0.5108912167292616,0.4668732537629746,0.471431424026266,0.4659420233083514,0.5104375520253065,0.5034832321290559,0.5521877987048871,0.5421930908579313,0.49476245727042906,0.47392610061106466,0.48123516461558047,0.45558271002662265,0.43518781590855077,0.45714445570838375,0.7005445753411994,0.5123234808110901,0.5313423206860359,0.9513749717775621,2.0949493688661693,2.786619416640435,3.2783359075804768,1.604796992214236,1.3424953212738104,2.245792393430392,1.4692053505903384,1.7220187297168505,1.3157998764869212,1.7322830954307655,2.691498426419968,1.0066726801205514,1.0228440919026442,1.5949679954434839,1.4655238787671436,1.1662756543694992,0.9141444819424397,0.6748569114891038,0.6048122873896075,0.7597391744401698,0.6132323362329987,0.6197966094420466,0.7566242297522942,0.4776209886225046,0.6584367837393785,0.6509339204892733,0.8489967229622546,1.1358428854517535,0.7953859910334209,0.9038831949612438,0.6247967305750847,1.2188834011649243,0.5254965894899333,0.49396659639616797,0.5143973082882222,0.5503079780762211,0.517519242966713,0.6059455643072474,0.8142773821026481,0.5805247243593542,0.6989170394322397,0.4841196583767163,0.48148360672389623,0.5914458972735952,0.4855012108681228,0.5534537134687602,0.5045271663465355,0.7410134304306051,0.6263927017691493,0.561828946016641,0.5505092040442213,0.6153452209976926,0.635957398387454,0.5374907001136822,0.522095388931817,0.6853549170303156,0.539912547169005,0.6549436975519719,0.4885590367978444,0.637060958762338,0.5782119919566261,0.5771886035200597,0.6466227307175824,0.7017359693087165,0.6802558545367319,0.6647446511804724,0.550517684238575,0.48365101283977585,0.46663861854255284,0.4954332768137663,0.43189700290879823,0.4339709253482986,0.5375966135630729,0.5081010643937938,0.6147727671085251,0.5192249078245953,0.5474066959430558,0.5115046236428494,0.4740453620866658,0.4210674471223579,0.4568943749044507,0.47868813330751636,0.6093816240302343,0.5492881599762431,0.6049709831091126,0.610408828245239,0.6613701434401992,0.6585207956788856,0.6550496397495345,0.6476021671577664,0.6393551631640215,0.7404836075636447,0.8939413482948126,0.5411882529811854,0.9865460632272923,0.573231097334577,0.5421555514820858,0.6952404372507395,0.5016604778146894,0.4390646979011799,0.42962912584101703,0.43868451522268215,0.41176726080565756,0.4789952182246392,0.46568148733595377,0.507011070980665,0.5655930533686091,0.5506377738737189,0.7422462199714913,1.3469212009763023,1.0251744791586594,0.5810678257098807,0.4908149411848506,0.559657106973373,0.4606761985158495,0.5454716864985664,0.5037432785798645,0.45402729009220744,0.44685128721829326,0.43622147292330676,0.5638980024252584,0.789914082103056,0.7874925389593106,1.1742444930412408,1.3795028853865772,1.1024862172514807,0.8312313582725357,0.6107966318645156,0.5692054790802971,0.5135769837116944,0.4659930891695764,0.46814666920210696,0.4896836515948905,0.6312250477045765,0.48506476156248435,0.48354524833516394,0.8147262458973984,0.5235765571694044,0.6039661741952671,0.6481638674083962,0.6203423939848905,0.6466014127315083,0.6839914449585625,0.8761793441029868,1.4744220155530277,1.1111117318267654,1.4464129327861823,1.9256398502928394,1.29464252499309,1.2462004920986447,0.9198868371540685,0.8846684281971396,0.8380581066323776,0.7163586357131497,0.6448876446304252,0.6446682671924303,0.5245294870518719,0.44226570750363037,0.48228597626917574,0.4812340460726057,0.4947309175700657,0.5143294968621634,0.5268437859567762,0.5811610414869381,0.7172866142266368,0.735393868079336,0.7832134871723618,0.9302982309151029,1.0413189246056884,1.02239269362113,1.1585324010383962,1.1043327016543638,1.1393365893437675,0.9967639961003274,0.8056903430744945,0.8775716081325899,0.8777669243359628,1.426350746233687,1.0751166858350805,1.5101689369854976,0.7158763625919261,0.643846613749729,0.7131642055441357,0.6321471616920671,0.715861437594777,0.5763625478989763,0.65257954728497,0.775938828214275,0.8775883444268335,0.72932530517278,0.8884182079947665,0.9937059150454273,0.8712845463945783,1.0341406419801797,0.6821499498060848,0.641795267435512,0.5921717782623792,0.6112477424246546,0.7366713942196129,0.8697517178714014,0.785593923762693,0.7173921912666714,0.6619401142208504,0.7443232496147967,0.7579401660990768,0.627554020424562,0.8331774319138574,0.9479781413589733,0.8081758184018781,0.8905109313040931,1.1108504418801914,1.265889536895195,1.0338807936751298,1.0456613855610808,0.8818272492136958,0.7836554112878328,0.6357208306886954,0.6452298790476362,0.7284059006160077,0.6411992930565072,0.5981996728099156,0.6652667173177511,0.6890935654059087,0.6264086994859592,0.7204660368819262,0.927219771218006,0.7824362486169337,0.8044656647427303,0.8979709967730503,1.3186123630832027,1.05929544785866,0.9388321709735729,1.1405710275670031,1.2718649613001844,1.164727321025386,0.9493072062651681,0.7746984967098424,0.6935887010132393,0.8103024599286166,0.8570823997150057,1.0365058497041684,1.0612871984944268,0.7922497441202033,0.5644671725159511,0.5665354394667328,0.46059789154042535,0.5349617842712153,0.5666138619533057,0.5252334321739613,1.3219188428501254,0.6917092081416839,0.5115164409858283,0.5836804127532287,1.0073144308639288,0.4661678863212744,0.6966991761414629,0.5867686580530288,1.1185497038007906,1.7523334666445682,2.190725993878859],[0.4204155868605722,0.40233659599345206,0.5531512472920681,0.4555182049930136,0.4984063877417095,0.4752306121441162,0.46881136157743536,0.4609921753016662,0.44580068278264323,0.40422766502032925,0.4267603281720826,0.5003964782862114,0.4243613905912206,0.43204033388004004,0.4749939933675403,0.4483864540116632,0.43081970237782646,0.45003538092635326,0.5375244331834147,0.5231041353911848,0.6101704790544564,0.8454541680111152,0.7782218666577929,0.986558766270987,0.7929420054520787,0.6751440496736922,0.4981581087508471,0.4731738312405467,0.47150534953670564,0.44919072416723416,0.450191543427365,0.4784474606052935,0.5103182565011855,0.4941125370400848,0.47328951350846027,0.44405549432184654,0.4653652794450648,0.4807144522679267,0.4379967208848682,0.5037686318364767,0.6655721511686727,0.4886260212060845,0.4843069893002731,0.8895465721299339,1.9611396958414005,2.647077822171625,3.22769071511752,1.5711994416816366,1.3194473879995328,2.2383198982720907,1.5115797275145026,1.749201525214803,1.3531041195323412,1.7986049061066254,2.938596708180318,1.0285974216086875,0.9528001956304698,1.6679522726746616,1.543041256680645,1.2387725879720335,0.8836545954811934,0.6623116359880465,0.5888013851116164,0.7268679801467104,0.6090935054829802,0.5970343940500156,0.7262874416457309,0.47667009839657415,0.6444177367906434,0.6388389667181501,0.8731407791451155,1.1291852467898043,0.7724662762057481,0.8414446405214048,0.5990723281999316,1.0987733113183544,0.5098908690373309,0.4667564168313433,0.5104172005343288,0.5218655071489566,0.5174327416465062,0.7241935538853558,0.7976112622698236,0.6016321121071703,0.7125151316474118,0.5125229999351251,0.4906438492984438,0.5810121474604927,0.481857758122531,0.5346832845940399,0.46156950346212894,0.662580922190217,0.5460794174421763,0.4778738325661817,0.47305230527177333,0.5198337275861765,0.5821331846283863,0.4839538620057863,0.4927387829487791,0.6620663094987682,0.5291812176594434,0.6765183120267416,0.512534684986792,0.6472823860156475,0.6558313651750587,0.6485888090159727,0.756819582211281,0.7713959250215106,0.7414580464842329,0.7126830312544915,0.6248809229759571,0.5801856684339567,0.5211771553547362,0.539332595324829,0.42394477062728597,0.45238256313327785,0.5495712101022813,0.5234223768953742,0.6079951916750616,0.4728320451860833,0.5261159512230125,0.4947283001708317,0.46897273785372484,0.42193133511093533,0.4500221061416878,0.4906473984580846,0.7104039059169425,0.6543397882508213,0.743651502804167,0.7028634108166669,0.7773286488211029,0.7859078220116906,0.7572068720373957,0.7236823543894828,0.7133666525201381,0.804728381704282,0.9328899167993965,0.5519616492760296,0.8548970705003531,0.4845387008364507,0.555952073527954,0.7122699270779763,0.49037588368686214,0.4442337803591473,0.4530705392668227,0.45366738757836383,0.4509722780369239,0.4974104530457939,0.4906772087858668,0.5014085395505611,0.575988665221865,0.5171441539732092,0.6910056933157456,1.2188603417332986,0.9386043590336166,0.5494283883521409,0.4868931729403235,0.5617555937786985,0.4808400668216713,0.5767871244111026,0.5255007437590382,0.49007988612752645,0.4837373672379197,0.49466487139837495,0.6396154837259994,0.8641230916266366,0.8476236092527748,1.2624071646940545,1.4519024656284254,1.1102322334619528,0.8878084327238244,0.6397258385078152,0.6247677147510797,0.5729074708938088,0.5226804469570479,0.515594570139582,0.5296514666363259,0.6654578796378777,0.5266869277405236,0.5422084967445778,0.8555384791393489,0.5819002673708112,0.6703231908334681,0.711506199132676,0.6819791508848114,0.7257463053392226,0.7352258173313942,0.937956686486795,1.5246157129574138,1.140981561084831,1.4538316664233464,1.8351315897581186,1.3151665249822289,1.2906096934930864,1.0000603047765202,0.9889761402861006,0.9260384194179868,0.8493571049862616,0.7846102212476873,0.7520749116921247,0.6499428483143258,0.5579499474640138,0.5916087974151557,0.6275710511050062,0.6217816577422278,0.6045233451830108,0.6364983949209511,0.6847795868365865,0.7803508635956516,0.8059392457913951,0.8784628477993229,1.0166523826650669,1.0927656809289137,1.1268664164218403,1.272247273570237,1.2061951430366973,1.2008087444798063,1.0734672966363443,0.9091882177314652,0.969220020928708,0.9802203852164867,1.412392133189082,1.1866152702390953,1.6060945231565016,0.8611887856172991,0.7627147378312177,0.7718485803076717,0.7357630490700326,0.850524305272692,0.6961214335070098,0.7881053128492677,0.923893202147043,1.0178162464780611,0.8692522635108484,0.9639593085114682,1.1553417372755348,0.9922422923637613,1.134167447387524,0.8243369689607678,0.748972088138075,0.7070451751420765,0.6914555160673851,0.7771552726604318,0.91519070769306,0.758601211770583,0.758567636514148,0.7030023918085123,0.7039208309825471,0.7482886028597513,0.6630225951423453,0.8174868131139357,0.89356995292996,0.817149245594618,0.9009624309992407,1.068122732004042,1.2423394007565198,1.0503328197550086,1.0639572503910706,0.9415837481564608,0.847840826230345,0.7172629258824359,0.7551428406999788,0.8198165795630592,0.7448721078110964,0.7292640382155171,0.8022765679552373,0.8173347602010272,0.7534923776862023,0.8576054277210322,1.0450074082761331,0.8919958640316243,0.9232398370332827,1.0263844603944916,1.4020929042423196,1.1434669560882553,1.0206933947247372,1.1982404527219017,1.2879761030012102,1.2072956379620725,0.9919628485605994,0.8582826321818512,0.8241547415841997,0.8470046865980343,0.942653246443426,1.1143138303840872,1.1366486210403874,0.904251590157192,0.6689176308997776,0.703392954216031,0.5090087213809665,0.6207726713569435,0.6272696061223307,0.5920569478915353,1.1658602014010204,0.7806358673854314,0.5648505283922507,0.6047543444193155,1.03070819629739,0.5180380279910989,0.777233745587485,0.5413037906614958,1.0054391723144367,1.4082283780979632,1.8839838323259523],[0.4526146434500711,0.43691554559284357,0.5601023049173591,0.4420707886852274,0.49725418898839524,0.4430759462200398,0.4257253974079753,0.4230329191237082,0.43816209715352067,0.41928631836109653,0.4437305739581395,0.4888354820850194,0.43857342362785323,0.48479569874697964,0.5429305222172001,0.48758768566511035,0.4680772267173892,0.5237794597454145,0.6452229666116657,0.6069506157809083,0.7371506760683181,0.9717940182776841,0.8906340496908675,1.1433822578539856,0.8732930452982515,0.7878614532148253,0.5878560684527714,0.5360380162733072,0.5121159120873731,0.4787098975720611,0.5012459265881046,0.4786244042177848,0.5215819596124808,0.5296837656511477,0.5011559563071112,0.5006935722773538,0.4836852327907025,0.5170044480495269,0.491791675455172,0.5294806413004572,0.73350408384144,0.5889629743473764,0.6028451959370945,1.0456148701150525,2.139393474666406,2.787461691165285,3.4303231879791,1.7769044552285926,1.429302102294883,2.391879323369404,1.6762209561621064,1.7885689526614414,1.4557105211701453,1.9500528124109002,2.941532042770283,1.0833865120096486,0.9741959145288955,1.751165332507869,1.560634248315541,1.3123816245179702,0.9509664983657373,0.7161838621787785,0.6501962774208572,0.8291411891902462,0.7038843508426603,0.6812753386068036,0.8168865651605979,0.548263035763202,0.7242259896562642,0.7021788614126176,0.9319342895789963,1.20551365661744,0.82869647230594,0.9491710241297903,0.6683859406414929,1.2177465563266474,0.5709812092372292,0.5143497942046531,0.5492456766900524,0.5891609148169925,0.5352351531300255,0.7079142419618795,0.8001403042979359,0.6189534412982344,0.7488510711430117,0.5196617192604295,0.537528243961987,0.594517718653084,0.5414690632051898,0.5626254836465722,0.5188459030840814,0.7511852495113107,0.6081216575395427,0.5432960791931561,0.528512850799459,0.5774782730348639,0.6276858061816463,0.5070730698881537,0.4889895551646371,0.6524085469410884,0.5157830689657447,0.6414415201979227,0.4780809240855632,0.6308832451774277,0.6415597619591487,0.6328689746906436,0.7375561590339044,0.7731227044616671,0.7371079655166993,0.7139513675303949,0.6075039813402446,0.5564538182493179,0.493680030172499,0.5330623375333463,0.4457425323317685,0.499022295099855,0.5938185873813833,0.6087774349736886,0.7236368780349179,0.5639852606069004,0.6192890531836387,0.5609767494227077,0.5408529140134962,0.45740680630710123,0.45562960225513083,0.5041718896713198,0.6959300103652736,0.6393812677379509,0.7342228049174736,0.6986821240884606,0.8098746039462853,0.8239606374313749,0.8076399830094205,0.7369789897250324,0.7464509709227064,0.8164797647916389,0.9565801260526635,0.5987432964879199,0.8906702694745637,0.5634909263916822,0.6007685869577299,0.782150800572642,0.5769459313167316,0.5116127233627658,0.5070675015812895,0.48775915722993624,0.48222105462229775,0.504966364641835,0.4772157101255453,0.48434742794509006,0.5512934953960413,0.4976636118458225,0.6832201353446518,1.2460133510408007,0.951510517533288,0.527024576387282,0.4616624636542778,0.5360084657388348,0.4584966239382582,0.5556795743930629,0.5231630979370727,0.5037974679658728,0.5116047586330905,0.5091566766602638,0.6638347528447327,0.8833094418451004,0.8923401905467675,1.3170655817880255,1.4890745773053269,1.1329575301204744,0.9155844825606494,0.6686811694986798,0.6444879152567141,0.5847664051057676,0.5242557400640452,0.4984447002717663,0.5099668978398689,0.645251987100235,0.52730952359884,0.5248330415420162,0.8674932890460705,0.5799512747653169,0.6900287083903901,0.7399040222269029,0.7123365442717547,0.7575313684320083,0.7486367808688416,0.9844066492773462,1.535579078208093,1.2090171957840417,1.570589484909232,1.9286605321342483,1.4142017803567504,1.376654385434844,1.082465376281271,1.087428451521529,0.9948855855286235,0.9218236297645611,0.8608453397009133,0.7861766615661175,0.7162339169505559,0.5905186131412378,0.6101963612892652,0.6948189689427325,0.6971276487562483,0.6468056294966624,0.6966046989676151,0.7792284723578773,0.8516680334879926,0.84383592347472,0.9430127112093619,1.0999218468561873,1.1464805643652929,1.161779621828866,1.3547284627510014,1.2911700777278017,1.3398772104348946,1.2203542434868966,1.040326449069442,1.1056756151735034,1.145656438643434,1.5555277878189748,1.3818871258451282,1.7138812707480637,0.9862075814647818,0.8779773034733667,0.8503482894295118,0.8372492461748466,0.9704363582932125,0.8060369899002904,0.8902268301719564,1.0548530819426811,1.1351655126673104,0.9877685910812909,1.0536061021353857,1.2596066896938725,1.1094789400382603,1.210305276750541,0.9200137572558251,0.8224824099547201,0.7799952552725782,0.7496299234800605,0.8164681990670326,0.9765660348557866,0.7753053581838063,0.7867876626026659,0.7604136549044858,0.7249909402322073,0.7649788637529363,0.7108134345370211,0.8733978143902336,0.9390759221516163,0.8697522168399319,0.9834408840876474,1.150130054427445,1.3105543082827311,1.1378903939932918,1.1721429165508916,1.0507534157932368,0.9586943791443424,0.8026828669328961,0.8581334210512511,0.9533662388985195,0.8553883985356214,0.8456582456835267,0.9503794621215188,0.9605601863884544,0.8801205975997118,1.0158605082154615,1.222183947342405,1.0304623597507236,1.0348247358069242,1.195280065072018,1.5098278570360806,1.2860314097451957,1.1542421855061225,1.3730251562313909,1.4036627696221604,1.3721391462125974,1.1095056586545389,0.9559510894964278,0.8855991729191003,0.9288167868205373,1.0314727494709055,1.2222134605140094,1.2030705160435666,0.9879537204304806,0.7014948593563574,0.7378090676588016,0.5112170829632482,0.6219786308856976,0.6163397168696413,0.5969645713122452,1.1653870139699072,0.7571981749240275,0.5723810929971664,0.6004222329950817,1.0049453930057517,0.4998585135142505,0.7652225779636104,0.5515770440421516,0.9889801879888477,1.494434144744826,1.9508239739017272],[0.49781017188157306,0.45845481121082493,0.530194366606323,0.4331586295214747,0.48127264535810493,0.4649642775501294,0.432237860476674,0.43029316728847106,0.4130568693373194,0.3582901989010259,0.37464458044056753,0.47221884251708546,0.37494135686855157,0.37847555701657365,0.4342535837026197,0.3989704618669156,0.3948760955709595,0.4023194495026372,0.49728351968808154,0.47735713867720275,0.5634918413518029,0.7999175331094506,0.735421792723141,0.9703073750741437,0.7497021035148849,0.6357930128039323,0.4572571135957917,0.4240043231533673,0.4175690418568184,0.4015922447396562,0.4208986493215266,0.4463974037552524,0.48092176613820625,0.46009057068776943,0.41287762326597405,0.39523981352250687,0.4079805926666003,0.4351576263702988,0.4062335230469745,0.46654391278980867,0.661524528857171,0.45434113241272084,0.46541412265578797,0.886368052655512,1.9942304026198572,2.66718721043118,3.2344944992069435,1.562124621366598,1.3050193811627413,2.2076076270011122,1.4673532899948585,1.7267725258982147,1.3085488926245945,1.6980337026111763,2.8646701223714057,0.9851435843796159,0.9700622168412849,1.5878867775895595,1.5046411695626092,1.200301650645549,0.8788455157517173,0.6368653418539499,0.5571757943098496,0.7060888595106882,0.5732948133117387,0.5516448075543432,0.6964710791925042,0.43149928758892697,0.6226336929944348,0.6031171739160058,0.840670332406695,1.1080411675450224,0.7593952359087657,0.8520886138466877,0.5537465050216644,1.123274768149091,0.45703524238114923,0.4182231492800714,0.4473339538347312,0.47140885990925036,0.46463629958588004,0.664793144078251,0.7875413449961143,0.5526047305729899,0.6773455402248065,0.46582362234889685,0.4369165448497335,0.5285322424445301,0.4262398615532503,0.49666572487918875,0.4305543680052167,0.6556652027791015,0.5489268435815851,0.4719533786903092,0.460389418203272,0.522488178739423,0.5595493104947341,0.482755794237429,0.47775337624837216,0.6696623533597296,0.49856838597319575,0.6693650963721581,0.47475547841058785,0.6296820027496974,0.6610168930468572,0.626093132277595,0.7858051862014436,0.7371790861356503,0.7144446743708718,0.7308592376108133,0.616066718249611,0.5486413002896473,0.4738439583369367,0.4843085454629957,0.37733825114024167,0.4027715241481588,0.4949022063188285,0.48522239575395965,0.5671280762233591,0.4355624183487854,0.4778498463683771,0.43347178239088446,0.4205067535279328,0.36162124936236895,0.39823209090959594,0.4574287884768489,0.6772557296360661,0.62314988272237,0.7332197126041651,0.6825636957108232,0.7747227619112224,0.8008600841561965,0.7696159605908062,0.7149977213677445,0.7082291537627425,0.7785224366139454,0.924625583483912,0.5367869180019789,0.8823521671061716,0.49135243369663784,0.5347726947460336,0.6875865113859804,0.4694543027997611,0.42329673285585395,0.42323299006020604,0.4216371393818583,0.41262980083430495,0.4574462431624822,0.4452537300936169,0.46732394587911724,0.5505818939441761,0.49857056439434333,0.7036792952147105,1.2263477929392714,0.9153156557304813,0.5281391912113755,0.4503485959152094,0.5357759262623565,0.4468205632223639,0.5510610766512997,0.4883558396933814,0.45906729961062775,0.4564763383516286,0.4599868709135648,0.6244625000174797,0.8454144621920321,0.8657611180190665,1.2939070752678754,1.4859664874120908,1.1330962208449553,0.911628057863138,0.6310032943054981,0.6016951000009987,0.5441923080465612,0.4828013138401899,0.48677806171188204,0.4926784878046302,0.6646796877697122,0.48992227320593806,0.5129094913271062,0.8408056777197712,0.5506774845602801,0.6591571856825675,0.7102426425278793,0.6934758757584741,0.7167805213076515,0.722408668465327,0.9242099703057516,1.5216248365288314,1.1209199449787621,1.451868291861221,1.8149903030745873,1.314684974662321,1.2862885000815911,0.9906755127252098,0.9821329459091223,0.9250032116597825,0.8543195836339865,0.7919553192824116,0.7487314686102866,0.6597134507494395,0.5677039838530431,0.5909008000113954,0.6562416262415192,0.6553511293846596,0.6312340621200344,0.6589000693715094,0.728044716173428,0.8430966100583174,0.8030643729787481,0.8644122464719255,1.0568572401505691,1.1357244662039847,1.0814840277895836,1.245210096163996,1.1327989401858436,1.2919413495358067,1.1084586378141157,0.9448105261503771,1.0258836963902367,1.0438980796797015,1.4522439035944252,1.3428956777406156,1.7146423648833087,0.9345646661748361,0.8424146584871018,0.8363155685177188,0.7672552582488154,0.8944921081615669,0.7397368861095681,0.8108531293734366,0.9416755888837943,1.0584815150769196,0.9032410284572102,0.9598983971962842,1.1692919678787723,1.0180839916932618,1.1438705630141017,0.8543234160966994,0.7438142399528342,0.7056896286617264,0.7196735679861874,0.808720778390819,1.0323856035247325,0.8049902908644143,0.8011969459564529,0.7747200634204133,0.7819544815902534,0.8015642590047881,0.7372216972258867,0.9355205079555386,1.013737784413879,0.9029324130665578,1.0193348016076895,1.225522322851493,1.376262534972001,1.1589690858047967,1.2018250233735766,1.043781524737125,0.9629970290405964,0.8042481701651755,0.8282982089541906,0.9052597832152023,0.8047033473703933,0.7820161317642594,0.8662801513240947,0.8724389896499718,0.7959397501769622,0.9069231441267361,1.0907430242902485,0.9308042712702072,0.9555209800157344,1.0586756109347684,1.376366156624848,1.152530820737272,1.073994383565268,1.2764841079361484,1.3366496258787102,1.2984152602520418,1.036000753772623,0.8689562885885874,0.7957948719171691,0.958565475763214,1.099759324044219,1.2657875133406973,1.2216368291241375,0.9922286787181422,0.6895443109167669,0.7079917182631476,0.4929037772769652,0.6041166396921185,0.6159094873190404,0.6129209992692934,1.2050327477900171,0.7748048732204565,0.5998299642081446,0.6565808708280026,1.0046495193225848,0.5408293716337691,0.7405416466238974,0.6369171185778475,0.9755354536048841,1.549186177628379,1.9998029676286013],[0.37108910962876046,0.333616561266831,0.4303136758120867,0.43408990328320757,0.49963875753944814,0.4516389998146274,0.48744548653068615,0.5011652945032704,0.5458203719935404,0.5312667441825993,0.5638927207655446,0.5768043016271687,0.5512663110897035,0.5965980001816712,0.6493748941775483,0.5969878137224655,0.5660800277308191,0.6033927065149017,0.685773334358243,0.6474510830990517,0.7648878849340305,0.9680119644025149,0.879092394839189,1.1728774049791448,0.8263612906786906,0.7887191999888477,0.6272158089866605,0.5873151722898238,0.5883892806445593,0.5677210189763131,0.6110776255015923,0.6048562181391343,0.650597203415536,0.6604550090304603,0.5987671156769074,0.5849663232565427,0.5788970406891436,0.5608945812842436,0.5499956482339662,0.5521149360388673,0.7770485838001883,0.6139877319531448,0.6359955906483876,1.0404144459876898,2.1697771261794956,2.826791697941663,3.3592429169884426,1.690190472597982,1.3880185079554455,2.293827362835424,1.5280853181475895,1.748226330629514,1.3508629445466305,1.7534542485498907,2.6963857943327363,1.0816591342015343,1.0974309395748758,1.6282423638323666,1.5146270283064154,1.2017236348313365,0.9994802114992409,0.7816983966992344,0.7242720065064654,0.8711583820674021,0.7404829814217965,0.7385919396412738,0.8575198849330146,0.6150669392809591,0.7618041094017635,0.7537200019498295,0.9281874787515692,1.2092191022233436,0.8723713438072709,1.0046159330986821,0.7359338052956302,1.3215781978970325,0.6460808737520695,0.6080914672198078,0.6203735764263536,0.6639877290926929,0.6177617777093599,0.6806648157225401,0.8535681675065175,0.6503742248159122,0.7647420764258136,0.5786437014213426,0.5850487895875488,0.6762553909271276,0.6035708927704342,0.6577111697280623,0.6032428930434377,0.8656127172178743,0.7273598431419735,0.6784305852941057,0.6670051207733323,0.7344099083118414,0.7321875373144551,0.6448222291732556,0.6162499516331487,0.7621900334399943,0.6235310573545872,0.7120528510789659,0.5652750839882935,0.6889306199309592,0.6297596249467178,0.588231315924718,0.6793051414823252,0.6824687753647156,0.6586921394393636,0.6632080659494224,0.5408471478465784,0.5201200039725259,0.523453881568462,0.5548149151331693,0.5306304026190456,0.5495381623178207,0.6443952831393677,0.6347279970662016,0.7561444883176212,0.6385639621717782,0.6758940372776026,0.6298775754888264,0.6202140233117849,0.5399181945597219,0.5349677596253364,0.5393168190891753,0.6491631929811402,0.5840911514558813,0.657461376000048,0.6416790017390854,0.7106453439165292,0.7107612246992792,0.7064822168823457,0.6727364988470419,0.6921770926181652,0.7840375953050968,0.9425059772771422,0.6060868831917039,0.9927541254909802,0.6394739869484733,0.6301033284790881,0.7830718921909673,0.6298765803054579,0.5447687869740099,0.531695333858081,0.5426612912405726,0.5090563760499796,0.5677958697767275,0.5386503931409722,0.5788808579642413,0.6215433836872559,0.5938789788394474,0.774008164657432,1.3742742628516003,1.0504859935434565,0.6364056888739024,0.5600037174305803,0.6172319589699392,0.5326075036382807,0.6067254228094823,0.573432117240362,0.551418970158291,0.536946780972044,0.5294263636295298,0.6403336021675888,0.8406237781777649,0.857274525432657,1.2584791209619528,1.4399412792214739,1.1473960053611365,0.8858428741406568,0.675294933490522,0.6461778608598907,0.5893856537525612,0.5516056630381234,0.5326881016116162,0.5554426429172495,0.6633317081086627,0.5676775800384345,0.5428444869723071,0.8464936215288934,0.5637806944905057,0.6381592488295155,0.6994636313057503,0.6702537055440044,0.7102959510310457,0.738114965734376,0.9223196604147039,1.5172796939259947,1.1657739293887468,1.4958226519863076,1.9170145396395377,1.3438013504713573,1.2861491997215426,0.9722597591931935,0.9518764764837581,0.8874413195944011,0.7749329694153934,0.7038182498512977,0.6573068655240212,0.5296620031977918,0.4187041216554682,0.46908805767459494,0.509806162350058,0.5016796626259109,0.48969741842133396,0.5404082000529206,0.6053278810168689,0.7280818365022711,0.6892964620023311,0.7631189759104896,0.9571767568032774,1.0438355462888238,0.9743950383821037,1.157309526222203,1.060764310658911,1.238593642200101,1.0615981511636374,0.866729732963427,0.9458322281594987,0.9636179531713109,1.4103730548941658,1.245420410556422,1.6149148278372707,0.8017181149462235,0.7063589007807543,0.7205280993109933,0.6518444069788113,0.7963051747572453,0.6180506772781396,0.695350053032084,0.8462764188121518,0.9729837339952249,0.8016638645611751,0.8958984300726098,1.0967932440074672,0.9529972273574188,1.0801300197527575,0.7476159999563473,0.6484722761583244,0.5926326433028957,0.6017694273044059,0.7243504687541862,0.9143547208024446,0.7499183107897935,0.7074009167115022,0.6663004218130681,0.7258872031143296,0.7346696140922873,0.6245782711248653,0.8520008872815311,0.9565620924343289,0.8086367746662799,0.930913370716389,1.1665073550496652,1.3157686055543947,1.0762521814410293,1.12307960264618,0.9489316263821675,0.858165508689433,0.6767521553498232,0.6997277673570782,0.8017213781160722,0.6808883091487614,0.6417256790991268,0.7504058654320983,0.7644919660275942,0.6780857082080295,0.7967065348463964,1.025724064265329,0.8520222521707848,0.8686651098983876,0.9895877896304649,1.3529666177548034,1.1045526448879772,1.0095130465516822,1.2314575352350057,1.3119041741677009,1.2648016269521138,0.990564926879613,0.7977902684684093,0.6831395677235846,0.8656397391851862,0.9935822359568625,1.1821603275457269,1.1568207670281463,0.894381213445464,0.6001605165547119,0.6038524337064359,0.45778136608051445,0.513259223634855,0.5283219964086309,0.47888080676137,1.2797411430298449,0.6666289146040891,0.45923999360028456,0.5546537551724583,0.9737264096223734,0.4194918869593945,0.6332454346730514,0.5468337689682709,1.0042932826408775,1.7547600794744302,2.179262514829004],[0.37596665055113654,0.34842450100593636,0.4364578535667214,0.41406498161442906,0.4891302128416152,0.4593480013883217,0.44558110371157333,0.4400449509784371,0.44669833357541805,0.398816209906056,0.4238737524352736,0.5024696945075332,0.42601556363128523,0.4190747369243763,0.4766313399693365,0.4448470394917864,0.4422454205503587,0.4529853368825856,0.5053618467365505,0.5078667928885044,0.5432802979407734,0.7593002635767612,0.6918547952064055,0.888012785278354,0.7148297338128705,0.6126503836172745,0.47318860511221655,0.4538341184013483,0.4527566263450438,0.44664721475953784,0.4617338945933231,0.4860801527242,0.5193708883319826,0.5023291061456189,0.45588051835653637,0.447500919420973,0.45267414110499876,0.46763612649106023,0.4354829454572196,0.46846774478306513,0.7024695202421375,0.4820942110123724,0.4874253001993581,0.8421157636072787,1.9293616234876634,2.627653446915007,3.094778615990798,1.436463993277559,1.2680129237709372,2.098307961033263,1.3459466074592978,1.7203034326975524,1.2407982500640409,1.553624951496895,2.779485515633508,0.9739049128613925,1.0589753206110235,1.509037327160674,1.5004552474108253,1.1494928339908483,0.8903149116125828,0.6730720909407587,0.5678292011234153,0.6882365497138039,0.5682508345825921,0.5592945874892413,0.706739298141975,0.4819889533877646,0.6356646137861883,0.629439325757462,0.8547302838437517,1.099184894997298,0.7870856521338784,0.8497759961579597,0.5651807133580149,1.1004553806170854,0.49505062667745253,0.46583198682264415,0.49032191540765657,0.5030100812899939,0.5087480611525025,0.6718314723586217,0.8107521254990186,0.5565330751257842,0.6719332883075493,0.49361172426251343,0.4759684999385252,0.5744507130450338,0.4617384829368094,0.5426641685276337,0.47380571553001255,0.6599212539268876,0.5762216806444059,0.506756452273865,0.49607041496738286,0.5509224848973766,0.5860768297658634,0.5195776888218809,0.5105490456848958,0.688511258339016,0.520831113700268,0.6783962688774993,0.4831098747487185,0.6323679505615963,0.6314331078576101,0.5921139121195198,0.7528449007875704,0.6883000801667839,0.6758272100505146,0.6837862492522601,0.5687681660203672,0.5103449025948437,0.4728934690361812,0.4818463651838289,0.4170717714772371,0.4210165823123835,0.5311668274607396,0.4954641252178094,0.541400887122015,0.4620930853216778,0.49937947100455016,0.44938343462559,0.4418947224748986,0.39755560989154987,0.4278529161860682,0.4562804525368875,0.6432511642565125,0.5803775516996483,0.6665268650606538,0.6318486676632453,0.6815908460542529,0.6980838339206439,0.6628128066639473,0.649987935242415,0.636586863338932,0.7250888576802221,0.9171241262504003,0.4995246901979328,0.9026044783352045,0.4831393488133998,0.529920676881404,0.6409416271420986,0.480249722153843,0.44027606642693945,0.43760947865138683,0.4564736248400412,0.43649727794424764,0.4836913232789846,0.45245761941876667,0.48436012065915923,0.5494754019792303,0.5096923268346674,0.7039210877218071,1.2339366526732607,0.9231493903432169,0.5342200570038481,0.46816272384058044,0.5375878779714653,0.46417556246766906,0.5516077123343498,0.47951133264127943,0.47237502582192736,0.4522753622319263,0.45490555005143246,0.5644136939857368,0.7901389709128523,0.7855908268221967,1.1890835949560807,1.4107635132580092,1.0924134987024174,0.8513825429458972,0.5880192775820492,0.5643301612842359,0.5238421808075111,0.48070924293467504,0.47849199899924644,0.5058526731170301,0.682482925789422,0.4953173616819413,0.512258414245183,0.791762517339289,0.5136393832616568,0.5975188535614719,0.6434630178461785,0.6386992497259912,0.6535297318145642,0.6940452662352494,0.8576761495297838,1.5067921691872856,1.051624455665141,1.3121774175175196,1.7234054182160812,1.197340448519914,1.1883649546769086,0.8673266968392952,0.8338969019481256,0.8071283210495711,0.7043456088903934,0.6496061947575015,0.6273319893408145,0.5151670207512208,0.4384313651460112,0.474271275945204,0.5039990432230783,0.5162598547514149,0.5152895130615622,0.5370929483276766,0.5989493670027473,0.7423515814702635,0.7000170706112242,0.7531521133074107,0.9481102799701113,1.0548464711649896,0.9784333001332837,1.1306083566269873,1.0239737494668257,1.1934258256418842,0.9920895444608687,0.8158906117106157,0.903522181681099,0.906376584245024,1.4240068522346194,1.1592757020663487,1.587890227324629,0.7660662282418631,0.6873130302006027,0.7238432367660881,0.62129723534339,0.7423368902510767,0.5953714214569474,0.6720692549291988,0.7870557338866113,0.9311535546111068,0.7590808886159559,0.8308499410710186,1.0006861694127036,0.8621357255866405,1.0007057088246787,0.7021544277159858,0.5990127060077534,0.5743249807154245,0.6141055579093166,0.7387787653493918,0.9598380371276135,0.7708123208039214,0.7399229383849711,0.6962295202568829,0.7435503132278948,0.7608752337859391,0.6574374193939564,0.8765876574998138,0.9746803205909833,0.8320477750397904,0.9410819096651715,1.162361765090248,1.3147745488017142,1.074231441555477,1.1098092519237617,0.9392079108542941,0.8571570193171832,0.6937964989954251,0.7042406005248185,0.7829933669328152,0.6756780589796202,0.6363692871066372,0.7071122126365047,0.7177320889850796,0.6448488364418092,0.7303742328570534,0.9339119165527007,0.7859467159396982,0.7934848254967876,0.8841482037528509,1.2740485427475337,1.0048843025832366,0.9494788727730274,1.1086709934567063,1.2477168463374844,1.2048896947794672,0.9599122177118649,0.765587147770969,0.6558530804296259,0.9136603627451937,1.0111099700068582,1.1581273098857978,1.137369265449967,0.8734870069079931,0.5968863422684172,0.5893441145914448,0.4587266246905592,0.5197650955642571,0.5401905549685052,0.5166971744077673,1.241551551284341,0.7041890112682333,0.49843356691554613,0.5804681301930661,0.9855097017049639,0.45752908786981533,0.6521328295482678,0.5532107345762809,0.9633676832760295,1.5800620334054198,1.988008960946085],[0.4024824940845417,0.36329540867377286,0.450352721385642,0.5864981845345197,0.6252171180331804,0.5783866800119809,0.5397373472023193,0.515712146749748,0.47071000378507205,0.4052697240517046,0.40299486380640215,0.4988634706042052,0.44238807252320694,0.3908688057430022,0.43732856621395283,0.4287450178006043,0.4495180161711557,0.4404805682293133,0.4776717418135599,0.5131689645774403,0.5178703525495582,0.7175074235889864,0.65918826982458,0.8264040600398662,0.6908813265813513,0.5888392383980506,0.4725473583562157,0.4608920489000279,0.4653337673848237,0.4777921277294528,0.4448600481146675,0.5093031950835948,0.5224342219342006,0.5036213021942413,0.47124763256863844,0.45976207887051834,0.49843225979109806,0.5005055822280342,0.4757510044657705,0.5194754578503855,0.726581875660255,0.4878330347959968,0.49334890877780213,0.7909382641329911,1.8603189347769697,2.572751373948745,2.9423791670319175,1.3091840670609884,1.216043198404325,1.9795234775372714,1.2400668367657823,1.7685769938207923,1.2159461786777421,1.4296240230366453,2.6558351365403268,1.0097550992267816,1.1547174416910446,1.42086920875974,1.4683705681838353,1.096712221786314,0.878338274509364,0.6907111528485014,0.5808707145683022,0.6873290431451851,0.5472981475808804,0.5635821664623054,0.6961388008188971,0.476439353362195,0.6231221793938754,0.596954834162017,0.8332130162747946,1.0581718958310462,0.7482721387777777,0.8094474219510603,0.5349118363834157,1.050373159307282,0.48480490110613633,0.45417339845746496,0.5010685861667951,0.5161357153123183,0.5422407555186111,0.7096357459372857,0.8701089181373942,0.6350746522407458,0.7350366442422586,0.5550507679392045,0.5209769938947638,0.6092692704432647,0.47176677809472756,0.5508146009681386,0.46494087405392914,0.6212469367146118,0.5485619013120477,0.4775840592354512,0.471403722632236,0.5203280527756716,0.5517092993879105,0.518445646052371,0.51775516671713,0.6956924488799145,0.5552053942929677,0.7351560331879884,0.5439482689511063,0.7328657419658083,0.7199358804769846,0.670052150260086,0.797580401131954,0.7399432748218273,0.7398084454403874,0.7554589534489952,0.6414601780957937,0.605607337011486,0.5629976656115956,0.556429105225376,0.458145631361047,0.4550552432882557,0.5401033680786929,0.47722950033407746,0.49878709027427753,0.44768485696293225,0.46353011694215196,0.42261749162390305,0.432307633823781,0.4183164717662465,0.4772263444808743,0.5514127405366223,0.6960932731580642,0.6807992699108717,0.7765485827954055,0.7579323179158967,0.8064276310085681,0.8045890509203084,0.7780699356878811,0.7588662276441352,0.756768017059377,0.8178911009938509,0.995384890450437,0.6013766340701561,1.0452278611941992,0.5240336098433244,0.5644165066917024,0.6452945053740584,0.49591424137557893,0.46629754351633373,0.47448630148582827,0.49113567821946674,0.4739056653973816,0.5334136352718813,0.537428935076633,0.5546602221179917,0.6444929826246533,0.5675693562835343,0.7412026171552337,1.2606344694368743,0.9471511598680138,0.5756715907657138,0.5129218968392174,0.6155351145816023,0.5281312252843015,0.6419026142926716,0.5789218365759161,0.5394305575280093,0.5287172455507931,0.5343206611613102,0.6623328346223184,0.8255869712081075,0.8821474551035183,1.2265936234500174,1.4628919883146545,1.1980424641975942,0.9522949866154876,0.6969703411663379,0.6716236254423243,0.6115706781473689,0.5757945330369293,0.5739411840882641,0.5688367970747779,0.7349114416655412,0.5864158999901237,0.6107873501148762,0.7925080842701339,0.6323787432309137,0.7158038838286702,0.7507477683680055,0.7466514009269221,0.744904265002401,0.7497777726139219,0.9100465630462984,1.5238857436423958,1.1138445211798365,1.3719779470249387,1.8430161079812184,1.2951444229974245,1.2808425725082704,0.9797079129938463,0.9138216250474906,0.9079334058471304,0.8440911756277839,0.7922092367155052,0.7863239784705144,0.6300555005640787,0.5504460984072387,0.6139979178882299,0.6264935783952448,0.5485616869832363,0.5387292331019323,0.6803538715740945,0.6381375190888682,0.6590209888371793,0.6486288314347903,0.6964295131885905,0.7765315172152368,0.8697875558140236,0.8405760206920388,0.9563183490092906,0.9409703491242953,1.0682701359502522,0.9678034009927122,0.7882626841230014,0.7963619609074738,0.8284146285921257,1.4630572809056919,1.0442543258134724,1.5078251907350773,0.7332622038113671,0.6959752760231707,0.7439188542580418,0.6690538454629089,0.7373370587565056,0.6313111821131611,0.6949954660553,0.8016536972796473,0.9112631313052755,0.819936641175507,0.9611391774387412,0.9758471084978387,0.9373293009367129,1.0719727761201878,0.8101083592753978,0.7345730346592475,0.6836444615663795,0.6857349407227248,0.8072083923883314,0.9431206849250899,0.8182832312382411,0.7744188261798347,0.6950012117090351,0.7678352070035825,0.7784215738925515,0.6448125745609153,0.8092375954566146,0.9219181318173428,0.749364271154118,0.8107725857454119,1.0318848128229594,1.1938502197543306,0.8982215637773815,0.9095654093716962,0.7732181639577429,0.7354562148947674,0.6418965367759987,0.6579247370946617,0.7215097802245796,0.6270380608233882,0.6229943692798046,0.6751286384709241,0.685854812892685,0.6753634917680525,0.7156482595351608,0.9456927082844263,0.7992148751596304,0.8324194296630439,0.8669847622263595,1.1638160580548982,0.9976435699164815,0.9698951593379431,1.0907391593069828,1.3074501875956925,1.176434469655812,1.0113735803923074,0.8525297592065723,0.73469642353824,1.0314216761392792,1.0957978189272006,1.2238660588061228,1.2038997937208455,0.9995000010046269,0.7676947615942312,0.7418410668452194,0.5818152495321915,0.636775157023786,0.6440353610295807,0.5747326537586432,1.371639835827856,0.7493250143444747,0.5066074789089369,0.5800864295553754,0.9974682796159058,0.49543782787360424,0.6698712800028783,0.5446230903850513,1.0478305423809282,1.632784693442024,2.0406756821783265],[0.45177737219435676,0.402922996727649,0.5672012612116345,0.6279298679026313,0.7263737224298511,0.646183294352488,0.7095703847404343,0.6906925447229394,0.7039771173406197,0.7684545392517067,0.7539100156163859,0.7720846863364924,0.7793029963280576,0.7868666611421147,0.7836821649900942,0.7977345681407213,0.8613771474204526,0.8154973864396748,0.8357085340637916,0.8367087879812041,0.7877623425291901,0.8697498452591412,0.8705564819233595,0.928515087996931,0.8831785735356295,0.8220372072448502,0.792541150621632,0.7962282939148062,0.7875910642958563,0.7866751242679306,0.8066092995302383,0.8063607630548618,0.7681457075549377,0.7949004044028938,0.7826259806071109,0.8221324248751242,0.779794704508857,0.8372133703292928,0.8069998771295077,0.7787182478589706,0.8876122697858376,0.8208742908684059,0.873951862698618,1.1042927165501544,2.0760343153760985,2.7565264626093016,3.1965953892648318,1.6579688067957932,1.5222085924001671,2.284334863333819,1.6109764627338374,1.9166972020127166,1.5275270539280474,1.8071915265179086,3.127651835654441,1.1682215749813283,1.1622374439627725,1.79109080896428,1.8177733976837642,1.4951544061050581,1.2746563652034015,1.1130643180144955,0.8727689860250115,0.8624522057076116,0.8571782451108102,0.8646017691977713,0.9536363858063086,0.8569749717262319,0.9182374996600786,0.9078045105220581,1.0741365558630165,1.1850374327907671,0.9824746520727595,1.070299890567643,0.8462813400185991,1.056194904320873,0.8395825130752835,0.8474423975758361,0.8501981867198936,0.7833712636067742,0.793898978380381,0.9442320731951139,0.9841185360030854,0.7502654416938641,0.7542403717489052,0.7690140407119201,0.7943607555117258,0.8520996101038761,0.8100329385529339,0.8577526291511104,0.832479578581639,0.8491600315321126,0.8999590589026127,0.8063504289401621,0.8109422526762418,0.8174089133967181,0.8202147877101283,0.7920481640713766,0.7749991796919191,0.861211065338538,0.7373382208451962,0.841462201261863,0.7737903203699187,0.7826764132044038,0.839916007310142,0.8385063390973585,0.9560889141901192,0.8751265629281584,0.8531372262638695,0.879248935336129,0.8175124896672675,0.7764617611352452,0.7449913511369396,0.7587841600630724,0.7768155634414123,0.7832767021330732,0.7965339791321927,0.7964881755221465,0.7996579997920291,0.8395316400759042,0.8026433663892864,0.7818490975429941,0.7969095525915674,0.7738756818353342,0.7665594827291304,0.7997985435009095,0.911127085262162,0.793829058550133,0.8084779314807229,0.8013923310543224,0.809837643788471,0.8260150582330238,0.8062147645514597,0.8192018312078132,0.7995689416843608,0.9156991217259319,1.0437752150253314,0.8235062479259965,0.96313052422922,0.9188026779445939,0.8403018260637664,0.9168327689678556,0.8405404991328109,0.8472616208373177,0.8042475301166832,0.8427826173334539,0.8232666576816767,0.8207369863115557,0.7631492554670428,0.7471901063625814,0.7391089126984366,0.7082365209355912,0.8721173466274634,1.16738690884805,0.9420090473243917,0.7168187470428651,0.735467344331078,0.7386239512093927,0.794217516113756,0.7873070107442259,0.7817066515049462,0.8072603912700111,0.7828324255072677,0.7730913295434517,0.8476606065565604,1.0398972022646602,0.9616141477023564,1.3331718719005572,1.5167371109721444,1.238856398709835,1.0267835036378876,0.8389308058004215,0.7970488642430812,0.817242794384937,0.7971776524883589,0.7781892808120028,0.8381168566899605,0.93796514857212,0.7810584567036241,0.7651838481511584,1.1768874541437957,0.7446823087353824,0.7765740453180375,0.7965054394639192,0.8101705630010536,0.8500285803942053,0.9725601795581672,1.0226124982588294,1.785878177387811,1.1807496218341837,1.2869278330915577,1.6425122767197387,1.222164017516463,1.2134844234288773,0.9422790944750469,0.9014061616347434,0.8981916354026219,0.8061092426662301,0.7436566694315004,0.7675191151092738,0.6302907518398709,0.5912882016142468,0.6355231864559433,0.6221253626958807,0.5863009461429657,0.5979768704348024,0.645320614555168,0.6509380305359185,0.7102514874469638,0.7344733518956553,0.7614685737537844,0.8494932935457823,0.9619902598867831,0.9665489468678135,1.0366936555374755,1.0111044341764643,1.0953000321811748,1.0146027148568022,0.8263727890565044,0.8396181214338111,0.8369109092321415,1.3473424342802998,1.0540962935467504,1.5688273783868372,0.812274228201812,0.7329664570556431,0.7557439240604289,0.6838771254042925,0.7854945981340585,0.6240870327837893,0.716223854878714,0.7926323493557229,0.9056504297283055,0.7835874045356717,0.8793891604567263,0.9844007939064461,0.8850155055649779,1.0367080198097458,0.7762936583673599,0.7206698744273837,0.6770345303538771,0.6801556050515979,0.8130969707780351,0.92836381914445,0.8372784204287231,0.8169196443882897,0.6975036544656005,0.7339881247792549,0.797240452252523,0.669436772499399,0.8103286962296684,0.9036081558112248,0.793087177653668,0.8368423006823331,1.006642818107287,1.1824354668046566,0.9247580156497689,0.9073381390635833,0.7985888398786118,0.7502668881340115,0.6678859659399673,0.6944119265925514,0.7455151734057396,0.6596956052926636,0.6504223794458227,0.7086504608242008,0.7194956819900425,0.676948625254012,0.7335676071292162,0.9661530146367017,0.7982578842360305,0.8225090349520863,0.8534307978387663,1.125140825083434,0.9863357826770545,0.9582339822183239,1.0873823346222713,1.3591539075391637,1.2001278065915129,1.0350740564951713,0.8360552808537628,0.7319089346381382,1.005478017057348,1.0766009362567455,1.2130223585877797,1.1847117976529598,0.9659027666970177,0.7277273321825672,0.7246511855435948,0.7096640785128814,0.6899366115812264,0.7198993618228723,0.6594925558345108,1.199276373990717,0.8884625319142939,0.621286559757205,0.6635356018179938,1.1034180845377195,0.5975699294571197,0.8133245812198708,0.5989820994262114,1.0270317168911096,1.3710872013423334,1.7954922288775288],[0.28457237933380586,0.2861018034036493,0.509361255260413,0.4264893966892584,0.6211066691979897,0.4162389928586826,0.3888705409794918,0.42237181123694556,0.36104999643389635,0.35152981616283324,0.3594564177079821,0.4515516107623362,0.39087829210567593,0.3698369461862585,0.4202405508602423,0.41088722063872485,0.4514619394703245,0.40517047279804785,0.46741251659524324,0.4605833114085946,0.45523622468126124,0.6680649168311448,0.577509198082082,0.6942075062374303,0.6174146973240551,0.5314729674921033,0.4377171278774974,0.42706971579382924,0.4168950881642176,0.4349064329781464,0.4009683900777741,0.4621413835907368,0.4618311847068401,0.4661653621637575,0.44463318859530687,0.44409144535641665,0.4491318560215417,0.48256207379223803,0.4690477936161471,0.44781250047817,0.7853119391648724,0.5042379351131283,0.5240787728734124,0.7732398968137576,1.7326776309798948,2.4563505482466015,2.7661189197977762,1.2021683102412897,1.17821550957292,1.9134168771789208,1.138468809083636,1.6505177346581372,1.1017608097343083,1.2967112752338983,2.8304061074980367,1.0183207392144602,1.1246121562311708,1.4532823785973423,1.6323766026627247,1.1227946677954732,0.9614821094713081,0.7901523931955219,0.5347546949824663,0.5573238291687376,0.5333232576212977,0.5277267819158902,0.6358823113274629,0.4618217024500896,0.5895085299637047,0.5486991728398996,0.8290359180001782,1.04497767113061,0.7099137159563782,0.7425821228477375,0.47207875368992835,0.9134085934060072,0.4471649318665244,0.46403748606438533,0.48683121663886897,0.4957069931005845,0.554714496401063,0.689175191951268,0.8036999933920144,0.5612572441174636,0.5913550191168997,0.4899613940254243,0.494918974045306,0.6038821895071622,0.4462813092963199,0.5318117170844225,0.42721860864989347,0.5420068834036519,0.5088687939307538,0.4308403755969281,0.4248702289343042,0.44846819024876944,0.4878984869042679,0.4504507373910629,0.4594732938505699,0.6670134153939304,0.5013880327261782,0.64890261088626,0.4974785449003863,0.6240777570984113,0.614246696129358,0.6340417286143519,0.7932517463174447,0.7680648877948301,0.7779432486763602,0.6968139494111503,0.6489278275402428,0.47853876829677994,0.4510185582412213,0.4241027589671286,0.39814660828216647,0.3924969145175888,0.5019340108554363,0.4441675941164543,0.4439130165936456,0.4455523889309247,0.43433570671594945,0.3867354216588867,0.4314143175788596,0.37132138378009216,0.3784224849516751,0.47882494926955105,0.7187968003368076,0.5073860672252115,0.5516990330270635,0.5407230323201847,0.5471000913923818,0.5786509388152913,0.5396237585037733,0.6109928917934667,0.5384749363798066,0.6097998724480396,1.0891156963475581,0.5223543698674006,0.7612101451626533,0.5604123965719526,0.5171958767459189,0.5812979367719286,0.502222529355852,0.473915612396492,0.4525017463432252,0.5005473157914317,0.47170335147663667,0.5117023981471235,0.4549395157862189,0.44639592305820563,0.5542195761064159,0.4771087697059677,0.7174273808342323,1.1624562590060101,0.8310291632871801,0.499787297930272,0.4594070822322403,0.5246846661336718,0.46932717611777225,0.5518928502797201,0.506440695816117,0.4852093472716349,0.45617839692862033,0.4293494789515543,0.49745579965945624,0.7473367188839378,0.6829571569112874,1.0436824345011804,1.2780033086871831,1.0423112489003246,0.7865657335811432,0.5796006586083634,0.5225452125225238,0.5485507672790985,0.5289796139119946,0.5067014132909933,0.5152393962207645,0.6935703829668397,0.5321626185029854,0.5332522328890847,0.8477819683942993,0.5046343065912824,0.5378163704131514,0.5630428340226196,0.5627342716236214,0.5870105961176689,0.6714547252417957,0.7969410519376094,1.6471241122273925,1.047406640794282,0.9802811404958526,1.3765143367671693,0.9367372187182529,0.9610606227240425,0.6591402968104207,0.6519123823629074,0.7027783555390267,0.5815933770929838,0.5810637979491317,0.5680851938330705,0.5123914244961789,0.4915087845659965,0.505092387224007,0.494755990395124,0.5201568882774503,0.5431153311615253,0.5612259577647162,0.5839516742598714,0.6813635866748761,0.6700726249715934,0.6863090587995172,0.7602324122286931,0.8743850687842111,0.8594515919383319,0.8803018008781365,0.9024200594828452,0.9865543477016837,0.8885427110381374,0.7242664633956821,0.7604951820628632,0.7708659937770626,1.6103669598610446,0.9752216776065776,1.50332397777756,0.6903554712800163,0.6605271748717774,0.7287047138075177,0.6228359389898362,0.6729394011009591,0.5624370264752077,0.6285853343280143,0.6877737797133587,0.8082669003717589,0.6761334585657596,0.8286867957500818,0.7585635077914331,0.7616934574484431,0.9317172443667022,0.6259869252192367,0.5742215884145851,0.5898870559010154,0.6607202288026299,0.774266117164575,0.9581601740913218,0.8424133088626191,0.7740603294355862,0.7243639566642004,0.7737045721611527,0.8081658720678406,0.6692664088364251,0.8282977966751797,0.9293253284800831,0.7796769718376716,0.8175657151782355,1.0024944246847707,1.1314787063617917,0.8906238201833518,0.8874433304386264,0.7721739062677183,0.7331836946327158,0.6503300547896501,0.6553196761882242,0.680648739011138,0.6146744469221491,0.6005897321272463,0.619974398659911,0.6298118288664895,0.5860677923565315,0.6188593375800898,0.8184922700519418,0.7030178963578798,0.6954359784772931,0.7482283118303586,1.1024682701279025,0.8876919781688489,0.8679884754387783,0.9290509485404215,1.2034473073243017,1.0157192893400309,0.9023905907964476,0.7799451406128475,0.6531106797311089,0.9916217662014535,0.9341590812106334,0.9848676127669439,1.0126725412447695,0.80184520472362,0.6171918752695524,0.5319115041139473,0.5940085478530599,0.5884067491722537,0.5659856284765152,0.532847390110161,1.2476172429165258,0.6791328966152373,0.5024664515399324,0.5820305004661531,1.012146178449571,0.45384100076716016,0.662303882149656,0.5021042017762756,1.033827209842265,1.407480708361299,1.7816322803306066],[0.35160368002125464,0.1972897248792448,0.29200323394221156,0.30350046494430005,0.35222416119775185,0.3792420628753977,0.3417300471903607,0.40435047645368305,0.3514085662633778,0.32981680638248434,0.3456351625223276,0.4740653572076449,0.375865212977828,0.340914206329246,0.4044349274874325,0.39817408539231025,0.4337170969152964,0.37959038956382024,0.4080045291912605,0.4004018052974905,0.3821076507272898,0.5885322053988686,0.49776781696634204,0.5919618895822364,0.5821495456246135,0.45764882121833517,0.3444394163446704,0.34547371677467326,0.3768545370591938,0.3848794361226832,0.40219417487596126,0.4628637890669932,0.48570471213323174,0.46778902800139077,0.4369887508985839,0.3993559037233158,0.412468062625116,0.387683234158056,0.3738324041059012,0.3833250861366906,0.7009864427854297,0.4015260247012236,0.3911918063830237,0.5421634478112871,1.4129836940022162,2.17101345612566,2.367494733259134,0.8851603029497828,1.0071313106337485,1.6558787871589589,0.9931140108320801,1.785088078087223,1.1563675669880737,1.0326119810911996,2.655063354347737,0.9816863203354732,1.2477009237883334,1.2092764554437798,1.5066661001765222,0.9826603282948182,0.8199195788303865,0.7070517417070149,0.5183870466874063,0.5451119040967436,0.45191455483967435,0.4637381928242337,0.6128069800146901,0.4536538952499109,0.5705165397849794,0.5203508208197015,0.8154045294514567,1.066170279700521,0.7287483424900397,0.6889482672441777,0.4816662444562621,0.8858492957841928,0.4430131087877331,0.45592476053799846,0.46741652977362214,0.4383800618178907,0.5075871371642252,0.6463847652821579,0.7672503603779455,0.47225527874433887,0.5192577927699632,0.452980250204772,0.4361588233532551,0.5746518684735489,0.3939842231616631,0.5177571320872549,0.4148536896758291,0.5389191621539755,0.4914409537393765,0.4376876834358127,0.426708556405748,0.4475715394759791,0.4982076176624823,0.4624750580921646,0.4782316697861734,0.6793583534222715,0.5069545106166826,0.6639161077195053,0.48950056218051413,0.6102919632707297,0.5820184807503153,0.5645958074274352,0.7758018080301509,0.6109420748550245,0.6364035068494681,0.6526508743288106,0.5341602464027466,0.398365373176483,0.3766923795471519,0.3588712796392211,0.33291515015314643,0.30455904166128767,0.4440705693347532,0.3435291416520336,0.36686789893241206,0.4010541850449423,0.3676418446986312,0.35667388014041906,0.35942000581547723,0.30706119699174844,0.30224859020529893,0.3558064421714835,0.5357473445801972,0.39365230562367126,0.464530715944644,0.49403356638093593,0.4477507658042677,0.5172699724572786,0.4471098350363896,0.55557131367264,0.4562989554173397,0.5544194411335677,1.0532018601030284,0.45198669481968917,0.8322538722324008,0.4377465959746663,0.5023658831266125,0.4967813907393299,0.39028242236628086,0.36440119037535984,0.3423736976651855,0.41097028813144676,0.3777415284719777,0.44118523802627807,0.39211936737772973,0.4051059019339995,0.5134674459047109,0.48072678484395387,0.7106855205135189,1.1542231561943104,0.8154543574996298,0.5145831305859416,0.4649570583731116,0.5099615763067183,0.44276618097221093,0.5050544715785548,0.4059558967219164,0.3943892897011423,0.34543587756964933,0.33757878203490566,0.42681445399561385,0.6574659249926013,0.6450410370840648,0.9915617668488371,1.2559953237645323,1.0536021374633002,0.793901452049139,0.5333663479844736,0.45479779210870713,0.44169087266460516,0.42858982012405367,0.45335020945517196,0.4692226924337939,0.7140098164561611,0.44099342826485344,0.5033145425816216,0.7245297918019734,0.4390699250838509,0.4544781181969131,0.4827019595470623,0.4739207832440252,0.5173056591320064,0.6290405351430421,0.7217733538570817,1.570087804974714,0.934064619668696,0.8628583993445897,1.3429388199802414,0.8730002084649393,0.8785563218714754,0.5762136352244438,0.50609651135758,0.6164793479564807,0.40949101368335344,0.38828784990067045,0.43729953531988947,0.3531750933750416,0.38485854966994115,0.361707416561918,0.3376565910450927,0.4019734955072428,0.4333758137280412,0.45339155047425495,0.44580376190936694,0.5912872011513292,0.5324223300242362,0.5416489727093908,0.6058673168159407,0.7218780908371074,0.75688067964878,0.6900744272814593,0.7313394425430958,0.8505883249325925,0.7420229184998997,0.5747294909433456,0.6210214205604128,0.6376455082653855,1.764947228636507,0.8832651474461634,1.465968928506799,0.5953069226075968,0.6044705494049966,0.6994401340965299,0.5941891789781819,0.6052720521529643,0.4430967830133074,0.5423858946746702,0.5605673833728098,0.6996419747098852,0.5341339686223935,0.7811542454043496,0.5949309060339859,0.6131431470813685,0.7586889611253194,0.4380703665751445,0.42707741902147756,0.4892828872099539,0.6137854960950335,0.779028401125169,0.9639091184070723,0.8630703700157794,0.7720245713335772,0.6981765139304258,0.797378926908289,0.8246157887570209,0.6403235224159401,0.822336260790753,0.9314046628403568,0.7368895638668543,0.7682473214566446,0.964914114156385,1.0489491182833028,0.8085743455181081,0.8106352754164806,0.6716166440257759,0.6521568278730482,0.5897039534581536,0.5756102388139226,0.5607733194462028,0.5021913865057104,0.5065450227662833,0.4753914490513678,0.4793873012290947,0.43278488844590635,0.46756210943224,0.6302677571842045,0.5467858193931805,0.5080119750618386,0.5607484674240037,0.9203526743921633,0.7192649486024643,0.7299465620646572,0.8006769971144895,1.1466513100808753,0.9233580935418093,0.8041569771129564,0.6628455562120018,0.5808793069689543,0.9881028944575195,0.8548155667956782,0.8695374258870829,0.917852944573854,0.6875242096394494,0.4738896117142056,0.3633543228225489,0.37942861612502055,0.413161733217473,0.4626444731314165,0.4684441150886318,1.3156401632419052,0.5908249524638203,0.4279660296202659,0.5568391458193348,0.9768440725876293,0.3372993403751289,0.6131329130254973,0.5172103523199372,1.0835128337079798,1.4086642504721036,1.7518853711435238],[0.47321472597486586,0.28654855857595013,0.35106041243593894,0.2704174540033939,0.32021488742916343,0.3800800052790645,0.32644145555107784,0.4084112068793074,0.3340249028096991,0.2968502640158759,0.32132541039538204,0.45412605354566266,0.35023127639168106,0.3192784074035714,0.41844003211167474,0.38633113516395384,0.4210176777490226,0.37513675055309187,0.4011528152347043,0.3947769023404083,0.38308545702384716,0.5880728565097239,0.5033132787555353,0.6104921199005361,0.5652937194402861,0.4564356369417266,0.3461300035064904,0.34060661859307656,0.3592942401465173,0.37986830606371796,0.40020573567017426,0.47410720704866527,0.4959114809012403,0.4714412123719685,0.41370863263623897,0.39381747873032713,0.4102870697997091,0.3843881618725825,0.35237858541201594,0.3516058817645129,0.6947262917168572,0.40131858373860324,0.37226764639436877,0.524239870050189,1.434230565321605,2.1953128992553834,2.3505339698512056,0.854017411755015,0.9828390792009413,1.602373643634538,0.9672049183340481,1.8087613999067513,1.173540470949332,0.9297544085974968,2.470475448011485,0.9808743541506609,1.3507124053241104,1.0844097664788819,1.4081143970064054,0.8986576547957138,0.7910681145035624,0.6843525978720874,0.5160430000287162,0.5834972116301801,0.4384764322858865,0.445863039490069,0.6274030323293637,0.4667742093939337,0.5657510706211127,0.5265648309366622,0.8284315803091588,1.1106825828857707,0.7494435002018037,0.7214822695416178,0.48149980085243865,0.9616086220510396,0.43961313135461144,0.4585608823226088,0.4509426826578235,0.42779620085350195,0.5162315900681665,0.6175641740316323,0.7813367749639418,0.44567805652460035,0.5285008142334925,0.4506168192137405,0.43824448723484494,0.5540432195981866,0.38210118246930413,0.5145558017000345,0.415626279073792,0.5520296089449306,0.491572913080912,0.4615735913589808,0.4501415777664482,0.4723891737969016,0.5331508759408506,0.47198697644941445,0.4852082521927268,0.6993904571558694,0.5129353184632837,0.6868898433878904,0.5024862127906673,0.6274199980969386,0.5811894805258948,0.5326221563595642,0.7686372689943205,0.5565761933192155,0.5910900177538394,0.6212112359191327,0.48477073789308345,0.3695020565893913,0.34597524391049606,0.3289218707935882,0.31769571618657344,0.29990216254661517,0.41990143199298485,0.3123430460649684,0.36159165418293493,0.4198091290493666,0.3632340668671926,0.34105128489821135,0.3391975849475003,0.2746351550635586,0.28654573255291516,0.33040065182261386,0.4243403070798357,0.38815301137744107,0.4590632296192048,0.5241568196726049,0.46711164716760206,0.5496910556349516,0.460527374502482,0.5880882109571841,0.4568171625230788,0.5270680471428655,0.9956758576124669,0.4084905236359653,0.9260265413273839,0.42453126413805803,0.47769455988586723,0.46460381080433016,0.394134700928656,0.340120222835292,0.3160423020183646,0.3883152045682773,0.3453125419915318,0.4127386232602191,0.367533175187152,0.41506827359746307,0.495210526819288,0.48026609139758514,0.7654382913994051,1.2497902821869096,0.8952855696358546,0.551577424141987,0.4717975095398924,0.5146183622849225,0.4289326107499073,0.536652468333285,0.3882468098007121,0.3757755099734104,0.31016405215561704,0.31424599017200006,0.4147880496620453,0.612850151480806,0.6354813903983252,0.9660927775057725,1.25030574241221,1.0504872710240356,0.7944096400069807,0.5080763772197073,0.4430900783442681,0.4221221659416804,0.40702585254742524,0.43886150176116384,0.4560395810109538,0.7104481458820496,0.4285990108944964,0.5149515389575305,0.6739943719425115,0.43006311223519283,0.4691578759175571,0.500078986788832,0.4815746715983608,0.5217759366546028,0.6275251717082291,0.7003490112183328,1.5235810308797644,0.8802771529349771,0.89468486353559,1.4268505299760295,0.880372708361159,0.8702274867853089,0.5916400933802374,0.5027544243060715,0.6071320651628359,0.4214673299693841,0.40670045850317127,0.4622311339934321,0.39272256370134245,0.41374054673131966,0.37107408186355556,0.386325352511891,0.46717431373999824,0.467148058268077,0.5175404460976613,0.5280823116948276,0.6561845805692064,0.5790512800038181,0.6180146379593636,0.6846940910134315,0.7674884462580723,0.8311104776382598,0.791184324377987,0.818847075710227,0.9621888070507129,0.8605749107731681,0.668307995977197,0.7342063760282219,0.7423890172201979,1.8299035509994417,0.9750564114170958,1.5417805659905228,0.6823888948799727,0.6815806674419331,0.7592017790270407,0.6831602537752063,0.67214836458165,0.50073612984026,0.5835899807940987,0.574763314897885,0.7098453870686773,0.5540844719133862,0.8108598037815281,0.6002845475943411,0.6342714933965246,0.749803946893422,0.4671062533490791,0.4662965350164598,0.5419028045112708,0.6656586682179798,0.8481078133237868,1.0489642702883415,0.923808761309359,0.8427997800382053,0.7843727052427394,0.9123010367062226,0.8846329338714584,0.7187727781701954,0.9352211864461663,1.0389176889704634,0.8186116316561626,0.8865194712300818,1.101835130477061,1.1397260267530038,0.8946156208139431,0.927953277067417,0.769046753095637,0.7581601321486083,0.6757003492006285,0.6609843396488457,0.6558278857453698,0.5833332198543896,0.5751444756174453,0.5586255514990806,0.5626019622403665,0.498575447048502,0.5337111731866642,0.6914064743515961,0.599267874000221,0.5478616702651729,0.6129626539855035,0.95804251325404,0.7624579785576161,0.7818048776455511,0.8656959106981746,1.1747610488876568,1.0450595958644846,0.9019336705032097,0.7415129872210785,0.6576016847530403,1.0595081145123555,0.9328357385917204,0.9618475620367559,0.972586686517696,0.7419813085734513,0.505823073038419,0.38175942796605533,0.3533775734908471,0.38827853286862707,0.45162586632566987,0.5199456164186382,1.4322049697940018,0.5339601327507814,0.4524983103634278,0.5767812526934721,0.9574996137927285,0.36778362814968407,0.5350945157393809,0.5094050576369262,0.9639193952180759,1.671661641522797,1.9089966424440676],[0.3943988633774766,0.27763154711822147,0.4196088426394544,0.3349912881521164,0.4578395055756806,0.5105228914287587,0.5422478105756386,0.7135662753118938,0.5992939363724804,0.5567191263636114,0.5763461134426048,0.703758234363504,0.6510917947979176,0.562638517299184,0.7196567867891124,0.6858860754804869,0.6562647231856534,0.6493630032383734,0.628358303979628,0.6608305100591377,0.6427586705590865,0.8077310146179205,0.7034475461946321,0.7336551969129746,0.7214346713217704,0.6540543360224483,0.6084415961571151,0.625528411399984,0.6826495799751904,0.6908428057665505,0.6831837063913504,0.7834889750426135,0.8116011737367924,0.7843361285142868,0.7439686137822034,0.7082629505332739,0.7612454613783488,0.7067033328379282,0.6593053961038475,0.6393195121434582,0.9743081227010251,0.6526771359181603,0.6246607942353165,0.7500274968318679,1.2763961912698978,2.002148945073364,2.0883186190360306,0.9072829270797911,1.0541163220591065,1.5481241540425934,1.1770468461272212,2.036649132012299,1.4328930651208842,0.910380628412355,2.397937938030226,1.281409658197849,1.6965645253241262,1.1188405055654715,1.5828559623351324,1.0198591753850639,0.9197625529554513,0.9071801033899342,0.7605692004161718,0.7838038563303351,0.7361841427414991,0.6968289141677182,0.7754333607980878,0.7028254560999788,0.7066592523448184,0.6844668869383818,0.9121843012821766,1.2069405837943044,0.9148069950077509,0.7884364297290586,0.7100921078392942,1.0870973125618248,0.7012344500749212,0.776979453040883,0.7689716528588086,0.7832715225548837,0.8648250224007944,0.8748051697326942,0.9911723062504378,0.7405934257444058,0.7717873728112915,0.7685683215332211,0.7459241246100196,0.8515128752508343,0.7043220326575943,0.813850400890869,0.7008207179989165,0.7809623097719625,0.7562134695825087,0.7437009307136568,0.7326100656244885,0.7493889185835468,0.8095474445037634,0.7545415418913932,0.7758947712227355,0.9289340138525664,0.8297097073374639,0.9482031499826193,0.8371121468519769,0.8934259145164885,0.8428748169581611,0.7754443773164222,0.976215947954068,0.7023404703458962,0.7019724484512415,0.7732295655280428,0.6663062130048487,0.6129210587148548,0.6321430709812983,0.5795602567079591,0.5937903392020765,0.5365214095960683,0.6681935758143518,0.4961008360934286,0.5455551209143914,0.6360625882907747,0.5707496464414055,0.5654250830527335,0.5081001445804421,0.48892866726527934,0.5250028679876328,0.5507180196968668,0.5872837505316929,0.5518332260547436,0.6014168753769962,0.7035128755536356,0.5591455971458169,0.7006191038335664,0.6183816749843304,0.7718009194499041,0.5974620556586564,0.5974758258549648,1.140461285512576,0.5081224295812096,0.8267698464637169,0.5540505299635069,0.5544331570268073,0.5154706254931287,0.5728703580878589,0.5383419412085833,0.582164318887426,0.662255794316845,0.6130440575159094,0.6986374944156382,0.6917236667619984,0.7098775250710936,0.7616999169502744,0.7730689020712662,0.9653456394078475,1.2854102127308191,0.993939072015184,0.8262529467164633,0.7777807805347074,0.8113581632766181,0.7443017311736877,0.8354305066074039,0.652206659407798,0.6757994585900196,0.5674180343548755,0.6137691897838102,0.6012185452434936,0.6252234721516794,0.68848659377882,0.9619437420655956,1.2367471378654173,1.0412480532493007,0.8218353225170562,0.5758903332390393,0.6128921619407982,0.6621956880795924,0.7063160553837559,0.7496087055400941,0.782287053968779,1.0036627599490502,0.758246442598633,0.8217639182646739,0.783222449528106,0.685475085790187,0.7116955345046898,0.7311218895626562,0.7120513004050188,0.7268620312578972,0.7665136049397572,0.8635134287776108,1.6480528562130945,1.0416956239975694,0.8689468351033328,1.2524650355653875,0.8406136836462282,0.8685237320972417,0.6584057270200302,0.5976063469702401,0.6500735387590595,0.47264092262050994,0.44219159121136664,0.5311211106701453,0.48395999250434873,0.5525745082165766,0.48226333093853935,0.412123192350936,0.5370176380635957,0.5103101437948299,0.4911485529511716,0.5345796789469417,0.6954943048616437,0.5573932747340256,0.6552326076476688,0.7467483281243862,0.7629500322951781,1.0006549282157182,0.9175561254778856,0.8663620724783478,1.0456301386979592,0.8797360256339323,0.7094630468029491,0.8196429288177197,0.8497313817621164,2.099169461311074,1.1045342929616215,1.643431437651022,0.8071555262319914,0.8380515325314075,0.9134489299849908,0.8696701202290661,0.8054529542726561,0.6367324529049219,0.7340104951837473,0.6674725929621727,0.7563280606571432,0.6078758955782126,0.9041791081678785,0.579344942650637,0.6265057113764766,0.6846415161311357,0.4740139052531787,0.5776673359504045,0.6854502004745289,0.8308219104238027,1.008743156782437,1.2270248728587163,1.1003915041393149,1.0192956704094516,0.9692126731602262,1.1028130815328059,1.061436274819371,0.8519317323556445,1.0781500668906918,1.1670325849197312,0.8891058210017071,0.9877944033563939,1.2039212618874013,1.1852916537585187,0.9620169423553653,1.0334249364663817,0.8577923634230046,0.87943612081499,0.8089360572051973,0.7993155405807884,0.77915197678068,0.6611509511400465,0.675549701888974,0.645340266895723,0.6250026200206152,0.5435934669098389,0.6125940662516531,0.6773859629748384,0.6027722234185966,0.5233063025109471,0.6261353855952303,0.9406942545555448,0.7334884803561579,0.7549628748786722,0.8320029143226814,1.0872192015547446,1.0597087653044506,0.8943331422985696,0.7104619207300176,0.7173606826104949,1.083278969394356,0.872977325373531,0.8529030265639606,0.8522451686882077,0.6626623239025843,0.5231855358578561,0.4623724502001289,0.5155925575643892,0.5101341787183512,0.5530026339902934,0.6000100109302823,1.411285342173826,0.6048096800415136,0.4797844307966319,0.6839810170307578,1.0559421693073725,0.4389630705913593,0.44581826424476473,0.49670446224290493,0.7038255172123242,1.565853834488313,1.6949025580860144],[0.7607769515387961,0.6484396110851757,0.7143222312245744,0.513648658542231,0.6230151765341025,0.5607086682153686,0.5330060088476827,0.6955281771675711,0.5623932962440437,0.499721768299791,0.5393264238115132,0.7010828412649845,0.6080268000702631,0.4992063911940142,0.6844555340542934,0.6668702100969843,0.620116250125217,0.6169162999834954,0.5835152412326575,0.624908019544629,0.5891713208190529,0.7427413741646784,0.6644142412389014,0.680738146453319,0.6729027828795324,0.5983088419665074,0.560980256960902,0.5717201936009298,0.6530359086037095,0.6773633405831835,0.6796323266542957,0.8055943513337807,0.8611274938388028,0.8312960845314263,0.7580711595647461,0.693854810633727,0.7729010039162217,0.6986739082817418,0.6463582534090982,0.6628293831182209,0.9237950209561773,0.6053829826316961,0.5870385681808397,0.6943770967946186,1.2838440476941986,2.029119014373074,2.094112353992754,0.8553418024641665,1.038152223474426,1.5339974984322495,1.1827411866489734,2.0961968916964775,1.489643482897302,0.9222034270350584,2.3399410808067374,1.287705214531036,1.722207927246717,1.0877206600160585,1.5788402175450544,1.0040488274612647,0.8834122079831661,0.865700618093009,0.7567848480945304,0.8221569597817125,0.6852355167044869,0.674236248404205,0.7498519683398672,0.6795579558657051,0.6749259581822324,0.6458526358262138,0.9198533841288163,1.246464423912842,0.8977545017767921,0.794389031006103,0.7117091559041233,1.1143590524487947,0.7056967159441176,0.7850480281643138,0.766714462630318,0.7749973366786913,0.8716681623897582,0.887607924247864,1.0606077035108226,0.7752498875440754,0.7970531089073064,0.790036459247603,0.7472722008733325,0.8593913603940847,0.6941884034611948,0.832745921860366,0.7259785366061049,0.8029637952470622,0.7882197283339318,0.787557424445177,0.7507059836134623,0.7959974031867688,0.8291096469902024,0.8046504727011172,0.8099233339871266,1.0211866618930103,0.8672088413822908,1.0292308466467535,0.890982000099503,0.9401136240417306,0.8854882656205257,0.8407778525489842,1.094760975213558,0.8350635964533324,0.8446112326498257,0.9115826798770753,0.7588218968592266,0.6645043960036136,0.6438340956442976,0.5828202064650766,0.5504416517621846,0.4970262778050486,0.598261595860919,0.46212049251572374,0.5045077744742286,0.5886287978932166,0.5114618649022828,0.49253915112485047,0.44942987083593666,0.4330903230786565,0.4807316018156718,0.5581609307566214,0.6497361243170502,0.6365437099243859,0.7336281483023612,0.812165400472942,0.7300135267035013,0.8656857068382724,0.7639982828036065,0.8600931129754574,0.7272503632567959,0.6844288475894013,1.2164234887319694,0.5781344842034809,0.9013818322611375,0.5824264546924689,0.5707570812197706,0.5410128369706243,0.5607135014225184,0.5295558027720442,0.5672471148011722,0.6390456962168158,0.5880056432837079,0.6786472081286387,0.6996692583388157,0.7013109571996838,0.7783216362562091,0.7957183368907552,1.0160679908330263,1.293558987677098,1.0508772418732728,0.882673247364281,0.8076329506867055,0.8480930876441758,0.7550835441975063,0.8830882142957296,0.6928891501972249,0.6869854447663668,0.5896259084044113,0.6346992663609146,0.6627897573547468,0.6801189573594395,0.767057261937874,1.0211745553747058,1.29225227660008,1.090015419423213,0.8926754725983029,0.6437369532604232,0.6746077864817629,0.7185134246566336,0.7470706760612004,0.7911638899082319,0.7952659370715406,1.0316246848204418,0.7916759072371703,0.8694525883576023,0.8179660793705437,0.7596456050534344,0.7965993968457794,0.8174075627718013,0.789542281862521,0.7789494108101398,0.8043257128111505,0.8991572271247682,1.6642823192351224,1.0793524075369332,0.9601025217205645,1.3020351257858478,0.9549408709154447,0.9770360901246248,0.8270719038691449,0.8186389883135727,0.8355693602251831,0.7417172620567275,0.7283011391484606,0.7714824678681524,0.793547021677702,0.830837528532403,0.7475324533278785,0.7303074734099876,0.8367547825520865,0.8017762446871545,0.7570236782670698,0.7967798458597407,0.9210970292970269,0.793118809464467,0.8425985469706841,0.9021279115536663,0.8829575527969865,1.0711092716272388,1.0520878212769469,1.0074670873835627,1.1645539032217709,1.054569224666028,0.9149261158690244,1.0060202035915815,1.0727320021975,2.249789263031275,1.2754563827367111,1.7007774227676558,1.0386835128861218,1.0974788843417065,1.1611124930444936,1.1102792502531305,1.1081180414066756,0.9253881565931532,0.9900584474330864,0.9364159678871998,0.9865365463915506,0.8741475495657262,1.1024623345830238,0.8656968042152792,0.8883435960818554,0.8753914038809725,0.7755730201663551,0.8466161012216913,0.952478837288714,1.0766476590186456,1.2104335244457527,1.4499566206048058,1.2849449401393307,1.234380513822069,1.2216132175174252,1.3075408258663586,1.2493918518861944,1.0831270887801754,1.3148428300291315,1.3774164955666997,1.085464735773894,1.2150188482519595,1.4289422672259269,1.3554812005794719,1.0999471746826204,1.2025683217055034,1.0686029120252547,1.1134869873019044,1.0650437977710046,1.0539008806426473,1.0123492316756826,0.9203432947572265,0.9410255517844661,0.9260483864411345,0.9033656943082301,0.8214478265922099,0.8764761718986798,0.9257628017286916,0.8345708430494398,0.8112256443524892,0.8906496163686366,1.1341571869916227,0.9447674113830296,0.9780307402418641,1.0738252753293474,1.2425047358261574,1.2338120397584846,1.0861383291989704,0.9272175297961924,0.9117751196781821,1.2571064898777968,1.0562797729765752,1.0490631069190104,1.041979247378545,0.8837123507575172,0.7637499835860537,0.7187063400548462,0.6906159134057677,0.7371330450415448,0.746873530085299,0.8148871645735871,1.4465925656457932,0.7315047400305273,0.7390232721751923,0.8716241857431888,1.0423218546192397,0.6499250700688909,0.763462182918582,0.8423318487350345,1.0631804145991506,2.008656598122891,2.5853995174309663],[0.5443515508083593,0.3386299956162678,0.42804935422753515,0.31147122060569954,0.3961760004447442,0.37652685967355654,0.3147136167630961,0.4486766309715034,0.3535025378838022,0.3290745938877112,0.3553398424771222,0.4761725073486188,0.3863219702725301,0.33830807205367175,0.4809066216413899,0.45418324602130594,0.4570973545009964,0.45510548927629935,0.46165490577831275,0.4837577752507397,0.44965226480018045,0.5673345998759182,0.5634098788477263,0.6172971021205113,0.566118996270186,0.4957888665679032,0.42946773590956366,0.41368758671138356,0.4561187526988309,0.444877866117581,0.483396127385071,0.5520723622481934,0.5930058773630882,0.5624965952112276,0.4956787018051112,0.4602277060949946,0.472245820111939,0.4545950530654908,0.4203625050826089,0.4068615320624937,0.7329574227649567,0.4866022553418517,0.43597758242402046,0.5384489117464079,1.3115932353516646,2.072611287097857,2.06570843166123,0.7468686260874443,0.976877567425806,1.476199969034492,1.0762935982738506,2.020565202959414,1.4061371239381022,0.8570036493778603,2.2240836880903814,1.0857896295830225,1.6270920193167884,0.8868428068817712,1.3708991414236262,0.8435206115705819,0.7834081354329503,0.6940594037858919,0.5711640733236022,0.7348767750611106,0.5045770049037362,0.4970044086451019,0.699199114050603,0.5698390128971784,0.6547618658279555,0.5765449788961116,0.9197805335689377,1.2768470412990973,0.8616296489946037,0.8032714763221154,0.5687090381989202,1.0347028798471074,0.5221292687488142,0.5745081913779457,0.5065924895242871,0.535262247150326,0.5927561518867572,0.6315810390915232,0.8875489607651695,0.5016854324721024,0.5303083688472534,0.5079991959705308,0.48994235305878875,0.60928439020049,0.4550734192410872,0.5752213926310901,0.5290192549511062,0.6286978029217142,0.6007114536844279,0.5623209935468074,0.5302615093131945,0.5917585848436755,0.637974912385296,0.5516861846641589,0.5729396008868902,0.8036205322703619,0.5998249119597663,0.7578111763715334,0.5830735016437291,0.6837856783341267,0.6424152059609054,0.6081163717272727,0.8605773446090061,0.561155064507498,0.5840315275041171,0.6548635927398134,0.4972838672014253,0.39199384628658096,0.37958572397455514,0.36332875981368584,0.3611233240542273,0.35533841965092966,0.4627473360965804,0.3664591339103583,0.4291652627767333,0.46681251949883196,0.41905181234395755,0.38433839145422566,0.38706178616213593,0.3301521974842097,0.34832139046871313,0.363035364697032,0.4025907590282659,0.3953246254802915,0.42387703779302127,0.5526882320565598,0.4743534687578744,0.5837292321266132,0.4974140671697733,0.6754293279265873,0.493476259798249,0.5138892591372579,1.1172502328569118,0.41697831450796957,0.929111074975566,0.42878254200165405,0.46287764050805236,0.438796504989651,0.4536300846102439,0.3831355201639979,0.3767494414226476,0.4317177577500477,0.381475175876792,0.4480938779085526,0.42009317397201534,0.4566974967951166,0.5190650962681328,0.5343919152362068,0.8352794921953566,1.302104857833438,0.9017712909342758,0.6275526592102351,0.5437577195174963,0.5855941710753245,0.4982928405297064,0.5816753430630875,0.4202585697988884,0.4382133176247779,0.36657016730890485,0.3682309107084456,0.4263414120927816,0.5673858622318998,0.5876315287266787,0.8629861638091109,1.1642528893949888,1.0146364168660005,0.7659419112177018,0.5156194894283805,0.4441075701066782,0.44560328878623223,0.45268665261866775,0.5082269537581728,0.5365863289913596,0.7887209654102402,0.5117220819550221,0.615208431806589,0.6686966683315201,0.4747375600268318,0.5124386539777936,0.530076080953397,0.5149841815629684,0.5413750932388145,0.6349885038611995,0.7097517147783595,1.5213221190371722,0.8663850923765688,0.7728822049098226,1.3146803336527053,0.7887654948458344,0.7987638308457565,0.5844463966387263,0.5389293796419672,0.6501797805810396,0.42439112740791485,0.4087970722753381,0.46497855502131463,0.48572927958827655,0.5333476457755165,0.4234193283603073,0.42108889318938103,0.5697083888154528,0.5319275604009156,0.5227128894706748,0.5559704760149606,0.7388090913498245,0.5756962129739803,0.6355904889897902,0.7247641193884816,0.7331457122646615,0.9184133402770195,0.8333658390053104,0.8148856178897682,1.0154600686491015,0.877433276124751,0.6978268377999379,0.8102978356007293,0.8734802769124295,2.1529696310454374,1.131759329835472,1.6619113430918475,0.8615214144769529,0.9135478384419148,0.9633129284234557,0.9090069304292941,0.8654162534073221,0.6762914026734331,0.7632873317355298,0.6925801269008494,0.766285001332797,0.6182563393805725,0.8989618414660728,0.5916705984127587,0.6591620699015779,0.6765180556791224,0.4533151940344296,0.5624679306884388,0.6970524487519312,0.8567165866684967,1.0461943400464402,1.2808008193669214,1.1395380095038563,1.0318472190915207,1.0378258575107329,1.1980638188469623,1.0901208765865402,0.8887057196061623,1.1555606550595068,1.2191357173587167,0.9104177966337118,1.0712571585507753,1.3135673123433567,1.2119034398559827,0.9898330207960673,1.0999673002816301,0.9104093198917764,0.9608146341789461,0.8801891388085239,0.8797549254410104,0.8466622537595162,0.7128986591857593,0.7359144477463583,0.6918057286624998,0.6556540918122779,0.5691712422754417,0.6398887713854784,0.6889665194243445,0.6070903526497261,0.5518875109112217,0.6460137649893238,0.9591793660524656,0.7468855785728706,0.7660281319087532,0.8526061767793492,1.1115682283385286,1.0869213413643812,0.9234316402678796,0.7339121910248688,0.7082191397725104,1.1110583999754027,0.9280152418853987,0.932958170099102,0.9153372064211031,0.692761329480341,0.5041373030161317,0.4006749371784738,0.431302520208567,0.4401254685896948,0.4362994623523925,0.5616102784404857,1.4661971170996593,0.4253769922483418,0.4734529021020911,0.5758232862188033,0.8422298805586449,0.42647752539974354,0.5583834156379502,0.6473992516705175,1.1235705318879117,2.1342134092505916,2.5631968910745826],[0.5075009937200365,0.3046935771086586,0.3753811753563302,0.2891854678397176,0.3491453630087492,0.35322513993746557,0.2849665156260385,0.38144169581241516,0.30324346965460874,0.285660547767001,0.3214450590595649,0.44527171515524056,0.341633515360647,0.30052112736644293,0.43347133166855956,0.3990356336508887,0.41532016726380705,0.4088126838204051,0.42738859880769703,0.4510439478449101,0.4262183841189564,0.5616280777614109,0.5381021216275625,0.6141973878612481,0.5319918888885119,0.46744327260839114,0.3883327105002445,0.36854028747257567,0.3981545987378697,0.40027050786729856,0.4350097786956047,0.50657654362783,0.546417096035375,0.5200093815637298,0.45578035233384473,0.42015809858824904,0.4234824661034012,0.4100471648765136,0.37215663122772547,0.3560163134135226,0.6979142367548803,0.43681043344675713,0.39029614868820717,0.5189379150616621,1.4194278508376712,2.1791322446230033,2.227647550415141,0.787531907053227,0.9712786106519437,1.5325286338459694,0.9775366928307327,1.8925078565371602,1.2653800467936613,0.8549181712155918,2.2802203174107087,1.003987523635978,1.4938285252331447,0.9413546739582587,1.3504525327482222,0.8402488986758626,0.7901169738233538,0.6872153863238576,0.5475997147999395,0.6967943185794025,0.4742918743765443,0.4767786221598191,0.6788823779678236,0.5251633924614301,0.6280525373107725,0.5569161658468168,0.8669897343331363,1.188427306169621,0.8076776115645865,0.7840643063656789,0.5239612260815466,1.005124724608285,0.4670851698166703,0.5020106092336185,0.4667045016866286,0.4528256074989034,0.5241508025014961,0.584095361016753,0.8609297484601072,0.4493405389560526,0.5096253162684165,0.4489865148995721,0.44066606022685195,0.5648345402435044,0.4049300565667606,0.5290487208142601,0.4761450901914335,0.5927889174170166,0.5376295856441554,0.5060342302521773,0.4853834300805629,0.5263838985518586,0.5835059060891938,0.5108770186989755,0.5274714680234185,0.757695774884303,0.5433799988337507,0.703208673881306,0.5126055891764218,0.6345319413822295,0.6001494522219107,0.5577063501383017,0.8066120426164699,0.521868285321821,0.5450525061888573,0.6141602499205757,0.4542001517914139,0.3527853212989734,0.31175374425864333,0.3299153714834993,0.33072739123532297,0.31634830554659943,0.4304573509619291,0.32180248984460563,0.38647713537579165,0.4400641295141486,0.3731491757568375,0.3477843130313914,0.3452853451224278,0.2847324080071043,0.30669100165104607,0.31901274905358146,0.35476648352877416,0.35958693483338566,0.3824357839331321,0.5021581824139851,0.42991192780785054,0.5320987890867235,0.4411739333949158,0.6216733522111518,0.43630911811344325,0.4916836464198636,1.0477967071958245,0.3928024773193385,0.9697875690781661,0.4272535285068958,0.4532499240188905,0.449704640557862,0.43511657355367633,0.36362482006146424,0.33428913615023637,0.3816252928798546,0.3358833103352185,0.39728523829056556,0.35471072657532465,0.4030408709140375,0.4771427348602092,0.49958291325785925,0.8080986458043318,1.3620455711941475,0.9384435156654166,0.6025275310203191,0.5000402999017487,0.5375929345720634,0.45050791457554923,0.5168697254570429,0.38043117796687553,0.38103639460089694,0.3141631178757802,0.30723720922112985,0.38895758137879366,0.5782241449780082,0.5902766523430701,0.8784361461435669,1.172141148988079,1.0189244004105165,0.7653695035964183,0.4961837207399627,0.41419005094547906,0.3978561712448797,0.3995994968685989,0.4565803210823161,0.4682294700592873,0.7235658995569395,0.4423001497529002,0.5468481100848467,0.6677812614814073,0.4189179331960595,0.4480882414706383,0.465708758843107,0.45982401712384113,0.5039508605617675,0.6293369291360377,0.697426760311049,1.5040526042206597,0.8507087438402716,0.8305493565872847,1.4123415235687278,0.8207190583118592,0.8142944433810942,0.5605137551566947,0.4775113350411288,0.6036374833673503,0.390095098573669,0.37420260893344937,0.4323015056140771,0.41049762565765807,0.4485946442765262,0.3608739908421188,0.3737440522391605,0.5087050679674745,0.494773184943166,0.5036642930964379,0.5406210668412371,0.7096982364290776,0.5771933988458522,0.6191318488086905,0.7136478378413854,0.7615326524350245,0.8667770198892064,0.8028914282011639,0.8089661097853563,0.9974956934105916,0.8710995141889016,0.6797100049732073,0.7709748830030908,0.8019973394693505,2.0128914579678328,1.0560054734368083,1.6182818228735083,0.7657748210682597,0.7967111069665689,0.8679217754520332,0.791767444316618,0.7365057079357551,0.5689889714445543,0.6614057371118328,0.6111414285026416,0.7130165277074672,0.5685020593009301,0.8469291744121308,0.568728177507473,0.6343396735391905,0.6957501213511201,0.4197352101858731,0.49514116016886334,0.6048594415943658,0.760411748398716,0.9496362385358689,1.168147635771155,1.0388491007234637,0.9297370939136974,0.919204509806317,1.0878855905074873,0.9998584385137567,0.80948853999391,1.0693929707688525,1.1539042835048794,0.8765694497313682,0.9958526194577375,1.2385293591460427,1.1967089446937345,0.9681147692376684,1.0428117032324002,0.8582593838969865,0.8798330163142669,0.7837407715124883,0.7762372743166286,0.7607908181211553,0.649618864869914,0.6566778463210425,0.6148677349139678,0.5936789112307789,0.5251113935426054,0.5734232348246563,0.679235809950343,0.6039053993828577,0.5425160186270992,0.6196741743891157,0.9803990382953431,0.7661766872267792,0.775535642650547,0.8590651108826917,1.1379751290080067,1.0942852420992188,0.9139949743039322,0.7285677001871246,0.6673323776264963,1.080171375604832,0.9257583800450575,0.9507231451202699,0.9428136132286257,0.6942314477707061,0.4803862268225681,0.35745164967118676,0.37655676063704624,0.36374798732709773,0.40850407249371107,0.5385186288035139,1.5266151500946203,0.4318390039853613,0.46479719369905403,0.571629164250703,0.8755614967535428,0.418291990951877,0.525625359303198,0.6818897961575546,1.1465931379949843,2.0915089730402228,2.3812088611660585],[0.486689039911465,0.30885176163052835,0.36708020938869473,0.2582175627729551,0.37912151531763816,0.33132591703481595,0.2550780286103727,0.37128420482627256,0.2933169998201809,0.26876179470721734,0.29662457520311175,0.4272534959629436,0.3158645459578987,0.2844729239839077,0.42446663012583946,0.38260199448345644,0.3974058539301645,0.4043359794886561,0.43305737687289747,0.453104433081584,0.4275187640830783,0.5443510162252125,0.5713518861504652,0.6663816878155339,0.5185350886784472,0.4747771559208542,0.3913094171624934,0.36046726007551216,0.3951908159177814,0.3888889398614283,0.42056485773645613,0.5004676277143161,0.5429600620591238,0.5138071843022446,0.4432717023678316,0.4163965356794473,0.4220357855762024,0.4081130995139738,0.3710819617660411,0.35313989891188025,0.6997054229220055,0.450858559412883,0.4006281798212678,0.5687708911451841,1.5688120936796732,2.320866930809103,2.379565679329489,0.8586931999357333,1.0110913508927708,1.6034135072242393,0.9574928941934433,1.8221063004349747,1.2014026298667586,0.8606245128728193,2.227123710910197,0.9834053848324811,1.4779130895383217,0.9543483594874306,1.333578169032212,0.8391434962837969,0.8086215819148235,0.6700949676056621,0.5292253414756586,0.6900052705744263,0.4626207774440135,0.46204454896908764,0.6983213809621862,0.5222671534566312,0.6454943103297867,0.5544442710857509,0.883884098396693,1.2072669333072796,0.7867963857850607,0.8101337440376853,0.5103474792443669,1.069580473084337,0.46855055250211053,0.49699295725045756,0.45577187584359213,0.4599380719442218,0.5289314381273531,0.5608801007524221,0.875579689148158,0.4395765543367511,0.5159260164620941,0.4445229798123191,0.44052586028780893,0.5677258267313963,0.4023746498820342,0.5112743359324899,0.469404793171239,0.599852697862953,0.5463696547528801,0.4990853295573482,0.4734294012663522,0.5323436396719824,0.5625030071604729,0.5092136859910028,0.5305514769007177,0.7859931961072443,0.5291117007396413,0.7037247615576067,0.5049165974753433,0.6214156723224084,0.5875804357230471,0.559649041699529,0.8147553168007438,0.5535910465133744,0.577665237641941,0.6344693537918258,0.4820791811640063,0.33923803433384386,0.30638717600285065,0.3193460767592018,0.3226456316187642,0.30327181925603497,0.4133908331373936,0.3111420583144197,0.3955311163845143,0.4347390217882852,0.3754236633393756,0.33692450338925944,0.338708940982119,0.2591923168801887,0.2992494884462217,0.3137626676249668,0.3681013909626799,0.34899325273897935,0.36102346516430406,0.47295682429962543,0.4106414967199243,0.5011551041063907,0.41374831989592664,0.6040135199299811,0.4206989102934529,0.4871751681711916,1.07090951506537,0.39498693941287866,0.9708843339418609,0.4269968313878864,0.40375435390871417,0.42470673725408087,0.4491059196935702,0.3651208821173612,0.33233027419177236,0.3802581392665573,0.3229840023130717,0.37826948239631597,0.34250059682123096,0.39261657883793766,0.47105448551500867,0.5010161253204286,0.8352160332416642,1.4386486106260927,0.9939335593634078,0.6185578565492663,0.48444485870203247,0.5233722994895068,0.4355227136823147,0.4974050245327319,0.3754776191715377,0.3674648473513938,0.31047512711973047,0.3042972490918543,0.36830270385801767,0.5719461617392688,0.5626333146102156,0.8536020423817845,1.1527202186336458,0.9946506423593514,0.7316991470995041,0.47047897188984683,0.3868305694678279,0.38633174349199495,0.38573687304499443,0.44488436610810805,0.45483739715496013,0.7137861700826016,0.4376612183101631,0.5311231703647098,0.6774860316257314,0.40695158024751943,0.41954237067708094,0.42780838857549547,0.4286475525230936,0.497658693048032,0.6323222061373446,0.7166276456662668,1.5058527549483145,0.8553083157319894,0.8391834224562383,1.434311749285068,0.817621458963601,0.8081837333887897,0.5408028056246121,0.4717158293120524,0.6071123504654815,0.3827402134962596,0.3734387371488016,0.41448677170030274,0.41906793258638214,0.4642609686003476,0.3693533164884095,0.380005111368534,0.5239895245163412,0.5096940587771737,0.49714379436256534,0.5445413538193421,0.7367108902998195,0.5819174435074885,0.6240943699995377,0.7441144416553841,0.7890957876818051,0.8336618337214575,0.8212594205821261,0.8152760901672264,1.0284136569122102,0.8939335670526491,0.7029457201538329,0.8084249083916805,0.8414469524284942,1.9628206516644464,1.110008052555781,1.6406128371703101,0.7916907614623547,0.8135876671588781,0.8813536246429942,0.7957781817626843,0.747745539693238,0.5811612932809666,0.6700506556718508,0.6200743778169759,0.7373972483099058,0.5750381462362951,0.8246111406779738,0.590975402284788,0.6240606893883515,0.7264566489075331,0.43665164997051437,0.49968841062558267,0.5937365218010412,0.7647637771871538,0.958078644968592,1.1984410642341963,1.0629776426332018,0.9411018581382978,0.9510038272743115,1.124447745597458,1.0253444160461032,0.8427245378808808,1.1184088323395966,1.2002723845549677,0.9115183564522752,1.050457871453252,1.3074673018255345,1.255401168330758,1.015400160178928,1.10856218644367,0.9129673588540517,0.9353524495768618,0.8256413181775208,0.8158276229623227,0.8121005941872196,0.6807077819481971,0.6792267405131254,0.6477350643033327,0.6226058843238738,0.5359679625181603,0.593151003165496,0.7201978010975499,0.6152697112262558,0.5567095282967317,0.6501673920271094,1.0211459059328771,0.7848242497787948,0.7960247553986202,0.9050807801208085,1.1569291398173478,1.1369033047016726,0.9350409824579543,0.7274205348730854,0.6393482141920296,1.069213118119423,0.9381713614382261,0.983740238018878,0.9564140957932559,0.6952728306470621,0.46176679071437826,0.34279319675716785,0.3952794079177454,0.39104064780673775,0.41942932863352117,0.5455657475121382,1.534846542917405,0.44264470457484173,0.4727748847145811,0.594019292649989,0.8822391571220733,0.41696731446082513,0.5335370795786335,0.6700649396449617,1.1517663442485406,2.164450723735817,2.6035383676674426],[0.47671783575067145,0.3163101110838508,0.37531544646092935,0.2978179561443414,0.3500989784028446,0.32331155285040075,0.26197887899818284,0.3474921915841348,0.3008477023008741,0.2804432570050388,0.2976955300066513,0.43329114404717795,0.31606461630904165,0.2983056406916433,0.42510991267692894,0.39088310622058,0.4087545088484298,0.41449726929326025,0.4499490418423078,0.4649512019870527,0.45475037811244645,0.573964109519828,0.5999895648544165,0.7187443453372234,0.5152821955769247,0.4968560025230814,0.4072795488817493,0.37125751415652875,0.40815433249405025,0.40189135993327707,0.4290123133295847,0.5029342969373221,0.5434294404701439,0.514119106926591,0.4458810639706504,0.42701739445897735,0.42056751292608646,0.4054433470798798,0.37213719862907113,0.3548769668210899,0.6913761612851855,0.4678940529691211,0.418276173908236,0.6106008959623574,1.6359721688676812,2.373550888775743,2.4104088040062743,0.883066136214306,1.0048560664518427,1.586315732689579,0.913774930376939,1.764796700378293,1.1550358390341753,0.862466107436963,2.112260044144674,0.9907336894490002,1.4891312434920125,0.9507327780911335,1.2913569421592415,0.8445693305155668,0.8215243552814562,0.6607980472764932,0.544590211927676,0.7311233673805058,0.4830587549660216,0.47548976754859384,0.7208174617844797,0.529927453708392,0.6562235841961588,0.5689350911565095,0.8823111041155864,1.20583961725971,0.7897481359109317,0.8368287474194996,0.523006148075983,1.1136291649084284,0.47976453340163744,0.5020415971907066,0.45878363812204215,0.4764570073611866,0.5206853223238245,0.5268172584686193,0.8966944101148604,0.45140626057741595,0.5341698019422899,0.4279428419993846,0.43145223197105553,0.5437593790479356,0.4139231964197958,0.5112359233031533,0.475481536095286,0.623827275588994,0.5461838389569755,0.4999725123240534,0.4776018544708152,0.5268687682282632,0.5581474067906723,0.5135642553124192,0.5257242439519038,0.7837919675249381,0.5079914796740645,0.683469411607595,0.4869232916412569,0.5986634691822371,0.5763030455460846,0.5270579534436332,0.74250813743721,0.5172239925220946,0.5430505213497966,0.6122716598940398,0.43230320093992847,0.33985064880762933,0.2909348067249494,0.32239456442201914,0.32364089660501427,0.3242255087899435,0.4005454991748651,0.32711290631328155,0.4485372732989143,0.45686438074469354,0.39026554048886936,0.356516499913559,0.3376245526941339,0.2749451641416679,0.30684109939383747,0.3169331290658627,0.34851674826583035,0.3580322966499521,0.3423836353068983,0.48444739428263267,0.43243171178761286,0.49749270637846316,0.41927884129402043,0.5964147967730059,0.43236547320525176,0.4880781568897866,1.000387631643948,0.37366719171085466,1.069320814795285,0.4509672477625825,0.4126345857826299,0.47390556484421503,0.4794849080225405,0.36886303480947386,0.33328526979365986,0.36538253510490315,0.3149978455621895,0.3505039664893602,0.344658278068835,0.3991635575479293,0.4409801136575456,0.5095183279916027,0.8435412264481623,1.547375936378761,1.0820856252793079,0.6275052333436345,0.4759613390340781,0.518862751803438,0.43848061227504503,0.4927792835994774,0.3974462830145834,0.35657040847284593,0.31609817036795623,0.30789847967044776,0.38628299950281636,0.5582733600308478,0.5591160703099988,0.8083862243565813,1.1167127549447409,0.9949002503805325,0.7226602228482567,0.4825782377295481,0.40257849076623875,0.38796641452449754,0.37802464044266737,0.4357831320427926,0.4385179375701171,0.6868637897285184,0.43698419568700075,0.5063415298748551,0.6521263632956347,0.40334276910436784,0.41049800180535767,0.42183085950213894,0.44151205323130704,0.5077708311295582,0.6220367772473548,0.7104139737464502,1.4399749362878416,0.819543388331355,0.9118059624654703,1.5941818287341865,0.877846882737465,0.8582044055947006,0.5841502807164033,0.4867140793188228,0.5911828138191668,0.4003811226470307,0.3740587401236709,0.43328363608946474,0.3812861165323914,0.43001345912539024,0.35543356912744556,0.37335718678657387,0.4920026166667462,0.49699349188677083,0.5163569084016988,0.5393200115270135,0.7042012868590538,0.5952923092849671,0.6278516836646892,0.7205686822307352,0.7771851687871874,0.8504595774229832,0.8162959163342631,0.8247680563432019,1.0181291599133335,0.8728410163192311,0.6720411100296776,0.7687539486273176,0.7812066990488615,1.9311217240950767,1.0205137266076711,1.6012138902536286,0.7496042026590383,0.7705056897300404,0.815570818894929,0.7468565125796437,0.7011792306901441,0.5126840828348017,0.5854399327503195,0.555847648001906,0.6648466202800531,0.5037634069556087,0.8296246461360358,0.5612381161894465,0.6258903477728721,0.7663869582876909,0.4310110069127467,0.48286985164637175,0.5625329984780737,0.7087723085080995,0.9258253004974317,1.11421886502182,1.0196229592230766,0.8865034994278993,0.8863016041531894,1.0852672188429837,0.9592459409187182,0.7853221521159981,1.0451119505614324,1.1322033990289007,0.8631645878352361,0.9772584860681801,1.2271422049291676,1.1825769354639837,0.9670688581068201,1.0390731472952552,0.8477553280741407,0.8578946174514708,0.7592017794985684,0.7516531041891886,0.7420918694930494,0.6289306593728744,0.6157947322711783,0.5864956450571556,0.5784700664513523,0.504579998975214,0.5494647984517762,0.6889826986353114,0.607984921722821,0.5511702767659074,0.6252550024838607,1.027688530508303,0.8004095524216852,0.8075141327836763,0.9054701295007505,1.194222363409256,1.0939752723304232,0.9123653386746041,0.7331392603399562,0.6273659717315196,1.0143742390214114,0.909023179053277,0.9674263066455729,0.985357783341209,0.699712320392158,0.4911970219610313,0.35459871713181046,0.37775311788146243,0.3713797052783719,0.4091554518698554,0.5385988159434736,1.6270347538486545,0.42540980609028645,0.47545044840823536,0.5886714975175822,0.8568302354759573,0.4493758704013874,0.54628602195662,0.7883307283743713,1.2792002491474668,2.2169994779422466,2.7480157412688686],[0.47913118413803657,0.33431610556282293,0.38296756870875837,0.31513201741361535,0.3490182488678873,0.32766028565774724,0.2507226880603012,0.32564479255089906,0.2767147922790978,0.24922295577097173,0.27112283314228464,0.3931266565711241,0.28539824389118934,0.26430927917787134,0.385272276133003,0.3444279294176258,0.37595529303458664,0.36891138637007004,0.40976421018062725,0.42430563396207327,0.40667783299358284,0.5441223463334989,0.5512428169156364,0.658165193232775,0.49690662649538453,0.4567976546351913,0.36568371833694324,0.332333296323363,0.360916877857328,0.3597223062936354,0.3848154047730757,0.44486667655636,0.4760770665273341,0.4521181969867957,0.38702597023032165,0.37361300780980805,0.36504211445240414,0.36585024846395897,0.3389089263976178,0.32313063266044895,0.6737083250964885,0.4243641107037451,0.37202512886944383,0.5843642937336619,1.617650520984279,2.3655164969506486,2.4269471124173045,0.8882152043821147,1.010562062164804,1.6147999572986829,0.9171000492806755,1.7461787814153875,1.1308312819393107,0.8960397977220786,2.2218890465869188,0.9420002433328966,1.397427042965467,1.0021919622954294,1.3118999666042046,0.8565956289943173,0.8215032605383579,0.6454284137903822,0.5001262290527827,0.668088950627546,0.4484146402939223,0.446062880698548,0.6746663314951766,0.4863701150270907,0.6240072390850916,0.5363244018974453,0.860238684355303,1.1575069655178234,0.7584947488075995,0.7936121174129508,0.482104352412821,1.0592793988163238,0.42656671430589616,0.4394922924173115,0.4062012477506442,0.4238463242373175,0.4765970518836704,0.50369730447961,0.864569788511018,0.4214038114072536,0.5128960743002264,0.39601453904614586,0.3918565009163424,0.5117269720245344,0.3676541411108026,0.46650818223626533,0.4237499377191184,0.5702945809775166,0.49865068513245764,0.4473988125750419,0.4346351271532782,0.47749037507189074,0.5147456320567794,0.4488347431663136,0.46120333091250865,0.721027474334064,0.45387643115457327,0.6442055000013251,0.42852029973278133,0.5598992102762016,0.5425459759873801,0.5013254349730382,0.7085449261507991,0.5113394388400984,0.5411591153444002,0.6007135308889531,0.4233253611416774,0.31717815246440717,0.2752622516525781,0.3092628167777158,0.30120016215658124,0.28932584215163515,0.38181917291354917,0.2996142645198903,0.38598096126829873,0.41473024660959745,0.34981152602705434,0.31298285272870346,0.32520800547752715,0.25205304759191965,0.28904308807426315,0.3056156752226887,0.34344466988326994,0.35007730815017485,0.3398308943241104,0.4679477118630681,0.4338692927643342,0.4916758886148341,0.41615927372450506,0.5748609614154006,0.4274415089155405,0.4862180616591683,0.995130236825247,0.3662869086465467,1.0476209973579327,0.4363112706032108,0.40949139585813693,0.45602371010221404,0.4515906000351896,0.35075436458775117,0.31080124184600644,0.35263253345488177,0.2974040304838663,0.3406487720339806,0.3118714790643058,0.37441759353417037,0.42491063047409505,0.472731291950979,0.7870822763844555,1.4824770250308308,1.0429727130841844,0.5670421431495741,0.4256342880757853,0.4779381606328037,0.3850181135265495,0.45663208756238316,0.3718963734409966,0.32764862565046593,0.2974128200189168,0.27500160833250303,0.3625854921625377,0.5643194614798304,0.5612102804621119,0.8235357798094123,1.1286765525533078,1.0001556216260747,0.7270096739259263,0.4816037102030785,0.3878767836306659,0.3721159121767538,0.3494208048997791,0.3925194054158686,0.4052715395956608,0.6501441228290397,0.397823557417794,0.4598972356172771,0.6676919637007164,0.3765199208607871,0.39544935587594354,0.4065761319096924,0.42678706037214104,0.48761782043476715,0.6136470369495557,0.6967264924483625,1.4557266412176268,0.8242013073200672,0.9073509071225794,1.5796950153057279,0.8838479965465119,0.8639873890259387,0.5903455652767559,0.49437423987605705,0.5996171587867876,0.4125785407732504,0.38645661118989694,0.4403400848376758,0.37621005855536394,0.4102844031088314,0.353637918077507,0.377870146688498,0.4773621120668021,0.49056222365508917,0.5265646423742142,0.5362087633414371,0.6846433498332307,0.5997997276777073,0.6223594285295447,0.6984809947333184,0.7692503318163146,0.8458543714222898,0.7987253192614189,0.818580875134188,0.9940474958965378,0.8517463752072941,0.6497342957448589,0.7380682157047936,0.7450355642159017,1.8911121445728096,0.9682554061138642,1.5656923721379945,0.7228193494969571,0.731271594660053,0.7819661602757324,0.7144014762227505,0.6743846906788326,0.4899738044593415,0.554165750208286,0.5401668400941607,0.6472639308445636,0.4927079519202024,0.8289233497970769,0.5632384160893493,0.6294114387811385,0.783176339899902,0.43951871024097633,0.48110811365933276,0.5495631079917894,0.67443453675416,0.8904640521468264,1.0514069897655731,0.9699357669921482,0.8513625874981016,0.8288018096027694,1.0159399090081391,0.9086681106485132,0.7456877736311206,0.9845775092754896,1.077849930836917,0.8335139641390927,0.9218245817904318,1.1584742379426536,1.1437734581285393,0.9298001503987496,0.9800422086590448,0.8009375329023602,0.8042186523177332,0.7128674738327503,0.7047883545266035,0.6986742339826054,0.6001597032943069,0.5842477757768992,0.558969449383568,0.5601605109615412,0.5003716840954228,0.5406472938536387,0.6814871469036113,0.6042298763522918,0.5469374964108983,0.6169344138986552,1.0089289671567214,0.7969993357806258,0.8071890731873107,0.8959006383322049,1.2033937472187026,1.0462273492662142,0.8912448802920144,0.7304853120445002,0.6263385453146189,0.9952638442069377,0.8924725429285016,0.948535083432575,0.9826193274722488,0.7087661942318755,0.501542249514825,0.36218883430162513,0.37446887817883057,0.36917012634106783,0.4073645626161123,0.5238968697031889,1.6298435339395951,0.43632928387285286,0.46958505610558066,0.5801396561252854,0.8749164997897416,0.44446515441390283,0.5485455851632463,0.7810406515298053,1.2857584033016578,2.1469040582009074,2.6677294727185714],[0.4447494882589294,0.3443583051319132,0.42299192407669356,0.3378766002880299,0.3376365040636878,0.32472734252367735,0.2839436372913048,0.3363767397363646,0.34800826523438794,0.3294785766088863,0.33921899464713107,0.45126858317928736,0.3494189685493382,0.3331396344897639,0.41200795806024715,0.39432995269714777,0.41469099284900923,0.4036868013137607,0.4660474297697172,0.47331007032532096,0.4572399350883893,0.5809754564783131,0.6119459489167628,0.7264146558487127,0.5323588927046181,0.4931098331969096,0.42015621607314224,0.37422049048711115,0.3999588461884701,0.40399658995796817,0.4320374974514526,0.46420573230591444,0.497175048328939,0.4815282871612144,0.41726116271983915,0.4163861119052291,0.3908763060356444,0.4117984498338428,0.3925306939039926,0.3909084003291329,0.6630952923106004,0.4730827081193404,0.4428398946981359,0.7147471154504115,1.81325765727712,2.5468593245945192,2.6339863469380917,1.0652061366464005,1.1206466375586084,1.7649602819632664,0.9975339101610621,1.7066814354675595,1.1429785718391507,1.0914366352468647,2.2172123160140336,0.9165201778287023,1.3068564405323755,1.1363747073572823,1.2994889906755824,0.9500878977037852,0.9021769527139754,0.6505662277843486,0.5222972856742827,0.7004127416353857,0.49012268270158593,0.48130277842867153,0.7281998008175411,0.5267037253205576,0.6703655734265002,0.5851318449460554,0.8705111462767601,1.1317471454078363,0.7642736220791773,0.8645466047843458,0.5129907504450383,1.1118346876699352,0.4775446406879281,0.464684690556525,0.4398673178890722,0.4499635951350845,0.4691566463585087,0.49583786272914554,0.9159429378990864,0.4571688858972975,0.5413023025694239,0.41414656446413123,0.4131462031866331,0.5059270714792006,0.4112249210509071,0.49312768076723473,0.4753994837754735,0.6128611347394235,0.546513019168173,0.47751077755229226,0.46921160380987115,0.5105048599910368,0.5180455876971618,0.49146042582998023,0.4861042238781649,0.7405710281128364,0.4566626197184488,0.6350541196388816,0.42718650380193596,0.5574456171482809,0.5474194852386169,0.5256918914021127,0.6619604208237543,0.543354324824751,0.5614785383825486,0.6303185484491586,0.43419227256153947,0.36635119196652705,0.32312608183201896,0.3620443196949308,0.3612927550993879,0.34486352355202726,0.407736973401233,0.3657031992531962,0.4663189446365702,0.47177708857718126,0.3990158546735256,0.36610403424019333,0.3694516866481052,0.30568314806858854,0.3367115885280806,0.351190725134818,0.3757604421612491,0.3698366378600695,0.3559869038152304,0.48075048351811345,0.4544758277137986,0.4778131527945625,0.4440120464730717,0.5755188399639098,0.46269592140175275,0.5403016582631313,0.9540801787433865,0.4326413423057181,1.1304696840181991,0.5196770299372895,0.46500749763147553,0.5439619772935953,0.5228586235796159,0.42768494544869207,0.37548973987563944,0.401947800003033,0.3576689670560342,0.3699114043609104,0.3631483457589292,0.4169775361537503,0.44767484650355954,0.5293311147277183,0.7994835504716992,1.5223087208580324,1.1308448048905009,0.5910416063738557,0.4362062058659126,0.48658113864138797,0.4097598064932183,0.469662667287742,0.43862615910279,0.36283303677292555,0.3725034133826487,0.335005478415786,0.4221982833218874,0.6227873341825356,0.596439533088856,0.8344393829353752,1.1236325269012553,1.0232091172782538,0.740017126677161,0.537602066402747,0.4350287574414442,0.41381215920316894,0.3883890977300382,0.4263211436888645,0.42883428157290127,0.6340951177987842,0.4233604862298471,0.4527149100587917,0.7394289909174192,0.41599565891483864,0.4301157956897571,0.44721232836132446,0.4649967148065895,0.5487053183430092,0.6649543853833916,0.7558026639714556,1.4315744889574706,0.8543742138687944,1.0249478026599936,1.7498219334975316,0.9888046265110196,0.9411287012433374,0.6523936146712755,0.544987308725281,0.632818065466831,0.4609679516875642,0.4048875173127667,0.4556786800750322,0.3645899022034726,0.3959889930893592,0.3550738622512292,0.3822760235947163,0.4670684788948649,0.5010363765482719,0.5212579798820405,0.5423675564735678,0.6768370724687832,0.6322993532873878,0.6475631032713685,0.7190371280628614,0.8011880715090405,0.8371611672839281,0.8321053621677643,0.8625946039634326,1.0043921735408468,0.8557205994759418,0.6592023888427048,0.7397880088113923,0.7237748718714165,1.8058048876788417,0.9316108413426369,1.5263595196016073,0.6940874836390556,0.6793348074016338,0.7336148752098611,0.6688355445604113,0.6288305671272963,0.4705755255485802,0.5303965734975568,0.5486275631072942,0.6528448424697461,0.49007930124001386,0.826480674314423,0.6218989501951105,0.6482820312576223,0.822464406330806,0.44667529543624385,0.4900381553596144,0.5219249986780822,0.6386299031073718,0.8637513987985804,0.9917304035080658,0.9357863316327628,0.8055666121861419,0.774114107495143,0.9553580041526963,0.8583705150639377,0.7087962255391688,0.9272979846124612,1.0233344701690843,0.8075004817843863,0.8761103527188171,1.1052784567628064,1.1199399485331096,0.9273499716105298,0.9563691723762033,0.7865260716151788,0.7625721176378587,0.6638990185323173,0.6629783229752607,0.6632499925896599,0.5790894798410204,0.5504643297292869,0.5401263907169525,0.5556878486303439,0.500017264720149,0.5419310144928146,0.6889940823870886,0.631007804351365,0.5918546410306248,0.6320734531298211,1.0593017178615471,0.8399179427794061,0.8081678763413467,0.9394414300101266,1.2371479163597539,1.0330115499820964,0.8798963125564339,0.7311068696419001,0.6117762888972151,0.9161680391020052,0.825487419515783,0.9019186418366546,0.9671001889220476,0.6787474271129129,0.48613943014542427,0.37378099849931634,0.3919788204615693,0.34801251743179695,0.42244355420976876,0.5324056302505465,1.648866410131212,0.4756511594980946,0.5082921383623236,0.5881987289282633,0.8552851855252126,0.47335190991577625,0.5855077716286773,0.8435670406969367,1.378586744365159,2.1633787569252507,2.921739707548703],[0.42469236453897796,0.377371792997826,0.44733241530323914,0.33805570640369187,0.3442265103805356,0.2735226934757743,0.2115332184053756,0.2708533656317968,0.3222228402198587,0.29504740521224054,0.312821071435022,0.40209942429298084,0.3157911505222076,0.3264529193529759,0.4177750841494455,0.3697943118152245,0.3654789842835553,0.38541779697355427,0.46262246453680944,0.4467027042450293,0.47620733645013097,0.6431002931426524,0.6248715764062815,0.8166416913371958,0.5354703547241703,0.509199802888761,0.40746018174136994,0.35649947773642593,0.3692105672294114,0.37544441749603674,0.3897901460896638,0.41527280816944373,0.45690460296146934,0.45401633884454234,0.3816839714049429,0.38370793688611954,0.3524375359487507,0.37757867813269674,0.3603865198698523,0.34914463346068153,0.6655541862148039,0.47170888223305074,0.4636357031827777,0.853072488536034,2.011838666766655,2.7327179644655035,2.9183847599847232,1.298509774823392,1.2245562305110078,1.966198039944942,1.1484888482992899,1.6516048563906467,1.1638936599008691,1.3253399749593195,2.2863623289484254,0.9189180434879616,1.1932792424259555,1.2949895010420436,1.3379218940865942,1.0310137895547282,0.9448761219038311,0.6602838360814715,0.537446294437628,0.7095336787726806,0.5184152857957829,0.5028534742796454,0.7019052891176464,0.4584659765408499,0.6189209711662675,0.5598960824057848,0.7971445854290092,1.0465333171238584,0.7123384927281917,0.8465839453813772,0.49805554925370976,1.1274707630954246,0.44476315189250754,0.4164721104607829,0.4081048477025852,0.45009950247679736,0.41912109240570594,0.47188086715552024,0.8508997110280306,0.43339882394987933,0.5595400739913328,0.3793648927521342,0.3840983819841966,0.47364434380718534,0.39107255762613424,0.46331697346443135,0.44495560773288334,0.6211058233698636,0.5296540882817417,0.46776328708794873,0.4500529904643127,0.5082559278808285,0.5160637345932201,0.4632936018202022,0.4368397233352988,0.6861793832469489,0.4222690891502747,0.5758378350877957,0.36997329951629254,0.4891432008589973,0.47601813818548644,0.48467821314095955,0.599557133829209,0.5505248511244538,0.5469501837403354,0.6071796885919077,0.400275822109619,0.3011629908702746,0.2668891272161616,0.27896240861946137,0.2963265881225645,0.26172282007339803,0.36435073594350537,0.35245792429241624,0.4587827916801452,0.3984965809005765,0.38849450470617375,0.3167324121265154,0.3254801854432532,0.23903302794003647,0.26522806738328986,0.2850409746395658,0.3306179423348739,0.3310590139839088,0.30625599337143394,0.42481863470248876,0.4135708908800405,0.4149724586048353,0.41285714618826813,0.503517483368574,0.43692518687404774,0.5283972685350027,0.9049950022375929,0.4153045301369021,1.08681885093286,0.5330876237407399,0.41594547379836116,0.5473492262288052,0.5030377005888477,0.3871796840993489,0.3383734158756706,0.3681962783394988,0.29818610311186733,0.3372682893047311,0.29958894572003436,0.3760065401954702,0.43552019133287667,0.49694425447699186,0.7346780411718238,1.4435381167913197,1.1009018116952152,0.5443398471269746,0.39455663646956424,0.44331808540885664,0.35022709668793944,0.40500887243459466,0.4070185217735126,0.32213369228702793,0.34688142092755675,0.29711361731540953,0.38704573940252873,0.6255471992307635,0.5759805430315327,0.8414940696435321,1.102544227266161,0.9868994089159295,0.6945075587832177,0.5073841039517554,0.4130721146004882,0.3829495068731154,0.34737056822325707,0.36554276860075324,0.3908958685956114,0.5717798380093135,0.3954929059390528,0.3785243073167821,0.7531130759187187,0.3620179645526915,0.3835488332364207,0.3971963156553656,0.4225736233729001,0.5271921574342214,0.6632544077669252,0.7767686331930623,1.455171210010505,0.9214732516235788,1.1135065460042841,1.8104439625914834,1.0471079659495492,1.0071736174152377,0.6693784400917282,0.5760511099462555,0.6260624309931023,0.4668365037432242,0.4062103175056343,0.4405926219511707,0.3353234648419,0.3430157254949608,0.3154388178992639,0.35677617749853213,0.4290411226286368,0.48020909763027975,0.4906114556886363,0.5312678987152946,0.6680014735899577,0.6610797370537236,0.6811112011700469,0.7581160871034441,0.8487440102574147,0.8669850986794555,0.9041201790122392,0.9359114269555415,1.008945337668482,0.8799494608783706,0.6664314357257312,0.7454993899821868,0.7261341939468147,1.6751696322957936,0.9369135321712966,1.4776311538286426,0.6535134214034575,0.6257807493291047,0.6858699618713624,0.614235249490079,0.5956258441365521,0.4410437055773993,0.4987038344753902,0.5591683036145962,0.6496715449327173,0.4811453164410256,0.8211852805421627,0.6780193589248992,0.6775096485983825,0.8677352555430112,0.44732932007310544,0.4663290748810133,0.48913519163832836,0.5904280919391863,0.8163328107490297,0.9024295103671227,0.8808817498654613,0.7628314224399397,0.7110259693743247,0.8765868249031109,0.8091503657105058,0.652563474049185,0.8708258242983318,0.9775546560819169,0.7868797080739015,0.8446908822502011,1.0816200281284598,1.1321684617154972,0.9229288860444539,0.9348712952296739,0.769978979159826,0.7255049537868724,0.6133557674693334,0.6085664176250778,0.629559649361159,0.5589470623282302,0.5252172091943863,0.5325324936573357,0.5564907155816666,0.5024620060414752,0.5463821056287562,0.7312171675791306,0.656307979074307,0.6201260192166312,0.6812605496518764,1.1165992704136003,0.8920615773719661,0.8342672217809521,1.0160866783904308,1.286925333592364,1.0456846287920114,0.896293736133343,0.74482364842037,0.6278146727217079,0.892532944313917,0.7997515299289377,0.8990471612444344,0.9777829715658519,0.6619228189882193,0.44076156386219845,0.3376677735029835,0.3313314311170201,0.3273012050173066,0.38796523808332994,0.4667072741424713,1.5729496432972654,0.4842014603065758,0.479409717338179,0.5489163096174695,0.8879386165466837,0.41935921022847517,0.6012738469338916,0.7870190607756663,1.3511691666097891,2.081521592592822,2.883310457774777],[0.46974938211435197,0.42949593914147505,0.5287234940600436,0.41182792900187587,0.37655358000019257,0.3584291607106062,0.2781560418788794,0.283836439949719,0.34140050728363996,0.296236661081194,0.2841908406534809,0.38045897276245555,0.30201320340842114,0.31589301925286367,0.3835063792378427,0.33835841357572055,0.35835467328969456,0.3581863777286924,0.44000675136980455,0.4343000819569694,0.48613850811071047,0.6675882837248254,0.6288555234226016,0.8199263246609966,0.5540004286042913,0.5240477024501473,0.42931767972542567,0.3729398304722579,0.37615891922437256,0.387817937368858,0.35641394570662766,0.3741663279976951,0.38954620077850505,0.39513971907178375,0.34007879959534704,0.3682035194576814,0.34236753548533044,0.40153102060258433,0.39100643926714834,0.3855062039428068,0.6775181680951142,0.49190258361008204,0.48306086522049363,0.892416043400459,2.049920933681025,2.7736728587152673,2.935677337321783,1.3344091791781287,1.2632671928789887,2.0000779691988835,1.192527518996066,1.6599053504947976,1.2077051043566545,1.4201032856533278,2.2568864926194836,0.9542124533317095,1.187742848268302,1.337928136770143,1.329441847054186,1.0348574644023683,0.9349065445897736,0.6318602712413692,0.5086022108814456,0.6919633265291786,0.5154309232076002,0.4903422886920831,0.6808524965813181,0.4236696009140748,0.5892720816132009,0.5230200937134769,0.7698381748742648,1.0000639661809714,0.6728037931059815,0.8059868331836691,0.4567860277695609,1.1122739834855304,0.40750578939540105,0.3789510184483866,0.3905798955815401,0.4277658407326405,0.4022682798386592,0.4780432709650197,0.8605376811194638,0.4451947738892929,0.5649899870193633,0.3947566878369421,0.3985394161230674,0.44023133758167704,0.3753640367923067,0.41624120441437434,0.3945539131654153,0.5953060826081669,0.4987645755195129,0.40438193730722943,0.3875396017357759,0.4495381451386327,0.4634001639544339,0.3866533860438903,0.37124539522414984,0.612482727524699,0.3903396168256366,0.49558914655270353,0.3446267591861397,0.4620609718455097,0.47098321531500476,0.4874537857797067,0.5596153420894194,0.5937715224688906,0.57541308525172,0.6375030375323494,0.41859160653621724,0.3401677999389358,0.32074694402633097,0.323364304711901,0.3234108800027791,0.30558751437317705,0.3708594738415961,0.3675564540014321,0.46096057313846356,0.3900303566805057,0.39742149445662855,0.32367995140208883,0.34776547396441726,0.2931397655058756,0.33324805085972004,0.3361432289963878,0.3687670896832892,0.37471168652144904,0.3626856206838022,0.4671039883530874,0.4444877805753994,0.444798468292583,0.47136016992667423,0.5384645257115502,0.48676655664733093,0.556400886023883,0.8982470273588946,0.4712679899448963,1.135525969309439,0.5791505023629734,0.44388540897144946,0.5886753902402092,0.5359829164726788,0.4157995523414555,0.3785694783092476,0.4022504011808268,0.3419674862045491,0.356781138811711,0.3350278854889587,0.3836458500753661,0.44665328500301466,0.4910190381547835,0.6767776475952685,1.3706019671532572,1.0969486204223096,0.5207645377978013,0.3612680269135571,0.4094481338901749,0.3317849165938997,0.42003097614528057,0.46051047084297314,0.3736802551275042,0.41224666019205236,0.34079693881768564,0.4443665596478921,0.6357894378492939,0.5885348996822969,0.8039650959724138,1.041039554412613,0.975184978035364,0.6860913924414961,0.5523692326272892,0.47158399245584726,0.43065972287011767,0.39428790873073505,0.4014003046867787,0.40476540894043816,0.5459373028309624,0.42751619765994886,0.38639905766060095,0.7893202682943893,0.40841667440550505,0.43459809861669896,0.4408322544387324,0.4591190196552783,0.5787947050487413,0.7038770422146469,0.8351132888468076,1.4308729532937803,0.9480659165284672,1.1356655842691317,1.8847003391732262,1.0711618666074592,1.0300253382525346,0.7065414460520976,0.6180311608955038,0.6521073099369378,0.5105454985592964,0.45245359895203774,0.46935947856267834,0.3875526712203066,0.3931522644571303,0.36759018431372026,0.4061794480241231,0.45450492908249074,0.5132829979237647,0.5406184733588216,0.5533936830073632,0.6628276200975497,0.6922243871135212,0.7093185557589823,0.7575353449364253,0.8395514255536414,0.8926299821998014,0.9223619871079161,0.96401960607718,0.9899241011387326,0.8801467261915753,0.6709716494286868,0.7364865119888903,0.7026387364079009,1.6980029571759658,0.9233936457842651,1.4222789036506167,0.6504935928465913,0.6478440951308433,0.6758485546383027,0.6448080007182426,0.6293504382264494,0.4879204504572578,0.5105621390581073,0.5884719618112115,0.641391916805326,0.4936550754037637,0.8898317189393906,0.6788200167034109,0.6740637457392709,0.9094794258936514,0.48222498327419905,0.5300972592112722,0.5422542808758926,0.5921739592417218,0.8106313084919877,0.8685581997514531,0.9006840053043982,0.7525869463361777,0.6948529509551841,0.8549882599814809,0.777644079915314,0.6308256803090232,0.816800825438319,0.9208318673518695,0.7626759676510495,0.7937508756741665,1.0147654927167504,1.0649729744668062,0.8737025249972582,0.8650731632267002,0.7306146670393358,0.6807103918681459,0.5969938282140331,0.602420377374474,0.6036528129159792,0.5602609080920121,0.5412750430869182,0.5398962737594016,0.5685610563832962,0.5177458850118783,0.5514365358019896,0.7467893452731055,0.68416967082426,0.6314008487931857,0.7036279996847511,1.1209280562742554,0.9327768942061708,0.8483814050114117,1.0690441427602637,1.3179199971867643,0.992027019628356,0.9039015725546461,0.7923070183673132,0.696621228434752,0.915100016199315,0.7838215896060383,0.8560354734018923,0.9698119375927848,0.6456094537322224,0.4837248891238645,0.3843845645215925,0.39862557100366963,0.39256846623712227,0.4054547859943303,0.47407395196573765,1.5188351874795192,0.4903704508017088,0.5360247522879797,0.5735404736327697,0.872706119405225,0.48860119793147594,0.6823732351214361,0.8736709105182585,1.4776239933967674,2.1218099972315523,3.1999643140917367],[0.39931084067231587,0.38957312905397673,0.5148531240959411,0.4023919069435778,0.36040022557128587,0.32614813049755415,0.27728379637716516,0.28790514195148453,0.3391480100373752,0.3200502493034682,0.3341235355830331,0.40421816691216667,0.34179536755547724,0.363814760071657,0.44743589806681533,0.39454464404072237,0.38485924279090333,0.39075239907459225,0.4753053388231245,0.45365789621426955,0.5330567149907833,0.7240203749076864,0.6905104941294778,0.9251352934175713,0.6104613364308729,0.5669245608830888,0.4543470162213145,0.39157123457230014,0.4021248127113844,0.39926152202158294,0.41179266025038,0.39255644972646425,0.42168382656876574,0.41803734549112265,0.38687283417694507,0.4176126114004692,0.3786915366151904,0.4371836421292066,0.4193050841004059,0.43124346806636227,0.6526574929969028,0.5148835137194657,0.542606567610599,1.1173336162532437,2.330884783102074,3.034881973142263,3.328107965044306,1.6952182443840862,1.4623197279829125,2.3167147339301675,1.5295512626995622,1.7796664758355565,1.4652230748981532,1.8053991521110688,2.3669790981293293,1.006961187116524,1.0661899769150167,1.549141919520153,1.350161421550701,1.2116086313764658,1.032346346356129,0.6840587041399196,0.586111194644337,0.7252705385287692,0.5765176778068549,0.5716791880320851,0.733123481812027,0.42671718917531865,0.6007032023355412,0.5722771389006551,0.7762535543733284,1.0352343377355506,0.7086445302522094,0.8786409501310897,0.51373836800445,1.1596110907840749,0.4503669196325059,0.4230556474786753,0.4374971728082906,0.4868316511775262,0.42274849912587165,0.4966000704126547,0.8457456361861875,0.4945053598792623,0.615547291904308,0.4089271299926627,0.4040435565346949,0.4495505925801105,0.42549191987883767,0.4376349941676705,0.4427927273804096,0.6374169107043848,0.5769467026396637,0.4753749083590551,0.4541172163279709,0.5261170457884603,0.5312392017547095,0.42956781748094514,0.39777340859317006,0.589018449628621,0.3996445665077933,0.5112299585118528,0.37905665342463585,0.4644960462119894,0.44830319257151274,0.4697596967176591,0.5206288949963537,0.6146811976846338,0.5597221919163107,0.6297848001986903,0.4083688235407432,0.35473130535975506,0.35177609499038626,0.3344360316031814,0.33970992636385755,0.3488496262858534,0.37075047892054935,0.41929192324621,0.531891719821769,0.4163715009515871,0.43106895813710966,0.3708151754771661,0.39403936569209785,0.32613713064271344,0.3494536156889192,0.3514303810263546,0.3723809267749054,0.38531618843840054,0.3662463784162298,0.47265128173390086,0.461671489276119,0.44170039875681905,0.5048528535937454,0.5283148934882296,0.518538382656718,0.5942984264790946,0.7861542537980098,0.528900885080468,1.1372986184459566,0.6757773434707435,0.4911155331655138,0.6709822636237606,0.5529699955095987,0.4526890492086053,0.41661224763872956,0.42736318075237106,0.37292775655799215,0.3837029445225493,0.36743541313040773,0.41085264326244786,0.4430387020895098,0.48711351504750144,0.6497329613774213,1.346078158692377,1.1005374965544628,0.5248119934836579,0.3871782667882601,0.42190162604876463,0.3485595601205868,0.4145339913878335,0.4797468969095728,0.4000577101214346,0.4447599796392937,0.39075137619269956,0.4944810496427246,0.6953548348965276,0.6418005308711826,0.8740336302402328,1.0731673401408188,0.9895284057658255,0.7041063741596886,0.5773632609116844,0.5100993789148183,0.477296983370556,0.42832536910242275,0.38423478816700507,0.4129905608853923,0.5238936279169352,0.4543992538654591,0.3877879649863392,0.8759853713349611,0.4213379840860681,0.47785228875940594,0.4920831964045849,0.5107053295225984,0.6384063835192232,0.7544305556293103,0.9021411680802532,1.4638712442554447,1.0469425161765071,1.318641286377184,2.0519929557176355,1.1942480288481887,1.1345658992378214,0.7899768865384827,0.6813730037301304,0.6525446367426575,0.5640505388689878,0.48018100556914206,0.5050475910000092,0.3845886665981406,0.35486688107002035,0.3547204929293087,0.3709527742849231,0.39853619669878304,0.4628006710753901,0.4910685533137538,0.5100428925515852,0.6113241086858939,0.6672029302400585,0.6951319289431755,0.7487242989757146,0.8389400540529861,0.8853631144596553,0.9574522073893502,0.986278978142134,0.963121021698056,0.8768531112786747,0.6696524065689528,0.7181229096559202,0.6899548137349104,1.5363214467215116,0.8962406234672495,1.3661411088680144,0.6112111864262807,0.5859538047006166,0.622940347764442,0.6014690150885206,0.5841081414426471,0.4569458950598933,0.5166519395145336,0.645784470930572,0.675218866311435,0.5271206754396396,0.902687686771877,0.7779948861632395,0.7220240490886308,0.9424491020940875,0.5066152975109794,0.5434086762262929,0.5206530351847504,0.5604713549071293,0.7771804150420398,0.7871723322687619,0.8532692257979079,0.7076570314417973,0.6264700943598631,0.7760137698125399,0.711036545871992,0.5655892083108472,0.7443962120113639,0.8561618235981099,0.7133099899578246,0.7440318080584373,0.9565739679782663,1.0489428029183645,0.8478031746286044,0.8300565272754601,0.6962222062112428,0.6256409895043193,0.5275611444459845,0.5379440914661779,0.5563797352012327,0.508505813582863,0.4781785754717802,0.4992284859105021,0.538402784503049,0.4938740775967103,0.5472204194529248,0.7806287174901754,0.6824435774526233,0.6513210927477796,0.7557765131741511,1.1774406712244885,0.9820868451956051,0.8454238089588503,1.1341075796074613,1.3301465448521075,0.9941985526125477,0.902716488100498,0.7684053145066333,0.695058621025814,0.8935759204585615,0.7328855760302375,0.8383175238596727,0.9643233542679458,0.6301130686680584,0.45367314758007854,0.3898730821493995,0.360079035091126,0.3467696184321038,0.40913819539887347,0.4436460417266901,1.4477113707402622,0.51277498326728,0.4907951595975772,0.5332134749525204,0.9069672570420207,0.415430073014994,0.6561903855778095,0.7702335202818272,1.4366806478234115,2.064684044295118,3.1103777415593292],[0.42953209911784085,0.3920746453007009,0.547798715277509,0.4231545298134899,0.39294708408629897,0.4472575967815195,0.4021655825960595,0.4116553979203965,0.45027562538623206,0.46905734269798155,0.49859949762044076,0.5399972204615813,0.4984071139325573,0.5092882322295275,0.594918102416534,0.5467390230404056,0.5169302108186699,0.5012364449977563,0.5431295512005105,0.5510480252077515,0.590442077345297,0.7329493081730536,0.7357316407823647,0.9604948421739704,0.6415971827099495,0.6161988913550932,0.5552063736850213,0.5014944622735381,0.5175065077620277,0.529708601079119,0.5449985607253958,0.5316110496166429,0.559519109515064,0.5498699383688043,0.5097638661605759,0.5378205804080548,0.505665193297677,0.559508761065649,0.5433430011711976,0.5494907682577236,0.7280490644544775,0.6241374509465871,0.6359417184259497,1.233163118533439,2.431745955407648,3.1091048550038094,3.310941737254236,1.745432687604457,1.5274730686559017,2.3395675684774027,1.5839868609050667,1.833679273895949,1.5689067970258601,1.8964274092921494,2.237811271353465,1.0502897296905216,1.104884053318701,1.5898620230384757,1.3527023249210648,1.2666976921659543,1.1108253663246037,0.7428488910294535,0.6585772831534312,0.78816037840672,0.6468548240953763,0.6444182830619122,0.7789058101075765,0.5127264244018208,0.6609884289529597,0.6349203090099151,0.8111911421507901,1.048921549712138,0.7587069998349522,0.9209827321722165,0.5863523125541866,1.2034760135696507,0.5374314715149376,0.5350648799756916,0.544847453181978,0.5899363509188327,0.5403389375016537,0.5736095166551596,0.9865096935916831,0.5944968780872305,0.6890063897235096,0.5247893799497501,0.5201111438445035,0.5345885346659413,0.5379546301046885,0.5378164739928118,0.5498257262774953,0.7062623204047557,0.6996684215446578,0.6189887132484104,0.5985638351745767,0.6840797513564184,0.6838159989511612,0.57770407515686,0.5338781965597873,0.6627978003075695,0.5307664194876641,0.5538557000494075,0.5208721813000314,0.5295022549322963,0.5303204186104551,0.522028034821569,0.5748828261601994,0.7023187778494974,0.6261172827383227,0.689322278108609,0.46237377757727044,0.4156614239881109,0.4243947246892718,0.3951583194945198,0.4622316864741383,0.4194661329223961,0.46517265769164456,0.47805789290573364,0.5766249655412224,0.5095792474215397,0.502020768392404,0.4814624790624526,0.46388688445357695,0.3876079839790194,0.3852653907525527,0.38989657158173086,0.39225260761925534,0.4439716937274852,0.4493972567333697,0.5176986813172452,0.48293749720950946,0.46691925613189666,0.5589555733633474,0.5802595292825877,0.5793154965102955,0.6125220032629032,0.8037978251314775,0.5681842590317071,1.1469513872106925,0.7290274905691064,0.5349441194184044,0.7510832420873521,0.6573251320163348,0.5483203242894661,0.519675232001955,0.534269121775661,0.4759461646962153,0.4953942951781814,0.46264166728247597,0.4685367680398153,0.49938564081661085,0.5773313521639172,0.691607662088541,1.3335298202210972,1.1472968067682048,0.6173085843809302,0.5146540602523363,0.48828255399892806,0.4688769063606495,0.4810577835928873,0.5426670497491224,0.5069913323766565,0.5479683337311165,0.502282418520535,0.5549182090113672,0.7168731634217941,0.6400924268651207,0.7875605821596605,0.9596751162645569,0.9471677906450426,0.6828340064947297,0.624290957186677,0.5780673956009252,0.5581089969051429,0.5344435850353618,0.509355562769514,0.5274635146451266,0.6275222647136405,0.5984700674180665,0.526817939476505,0.9483901131036939,0.48116420783942054,0.542115433924515,0.5488825544974766,0.5778790103628739,0.7204889220876781,0.8098685284714531,0.9534149154716904,1.436987374740482,1.0294409618630382,1.271677395406369,2.0719572911433017,1.1529439982714498,1.095302944619464,0.7883985674506209,0.7113964572973885,0.6691327971710477,0.620452173658335,0.5415333039560692,0.5430094153962114,0.44396185712697167,0.4251002015559441,0.4217485466597641,0.43755753594657504,0.4333286766226077,0.49198383077612695,0.5543085744323054,0.5247504350113534,0.6000779471602928,0.6616045081384611,0.6888494350939988,0.7099512851986056,0.7863057645309135,0.8636093678838381,0.9183367490243282,0.9747953063367473,0.9172466274772818,0.8827702330159415,0.6675341390425125,0.691314831193241,0.6695921384707054,1.6006252614277168,0.8985770851782342,1.344186275879018,0.6284198762776565,0.6370368803951397,0.669091023789604,0.6803878208796663,0.6202759661998002,0.527657989037625,0.5429501655643864,0.6704957806404866,0.6733453555771426,0.562572953421774,1.008192862557661,0.8239128933287998,0.7627539048463745,0.9922305058985404,0.5549699139562291,0.6275775576118385,0.5950748907643117,0.5925644768358224,0.7858393932870728,0.7853946232920616,0.8774759861883517,0.7067819294826383,0.6367602815383685,0.8022374013812887,0.7078655363456717,0.568494563539972,0.7269287268669488,0.8369046417679161,0.6819011144597781,0.6942434640598943,0.915009139447809,0.9853177784712945,0.7981402399273303,0.7774854223080198,0.6538972457575678,0.5952138232161943,0.5296742016578521,0.5496377639839611,0.5489916501223653,0.516183578570156,0.5030552130569903,0.5103336127262921,0.544177328273412,0.5338297229963357,0.5898614747165225,0.7858058914372772,0.72005797146231,0.6988930243845277,0.7949742418876644,1.1850374822880145,1.0278518249400048,0.8993131633008546,1.225205035033777,1.4109717689295378,0.9983422919063559,0.9507770211081266,0.8177505325464403,0.7368981267126606,0.972791997086254,0.7991328373003185,0.8709526693361009,1.0024745348124477,0.6615106956439623,0.5231924909166801,0.457080328303307,0.45433145894871707,0.4218941820327851,0.44237221687813927,0.4811324294545801,1.4309040992319866,0.5036982280399199,0.5194114634154445,0.576783680168743,0.8317873839397,0.4811219686968626,0.6892935496723407,0.9155492064452526,1.5533036969891472,2.138275135109389,3.4244349036060533],[0.6052537211830106,0.6301285379420696,0.7078124294204089,0.62909444992326,0.5837164403377909,0.5548708815574447,0.4977463296840432,0.47386642410903257,0.4940342136142519,0.5530312103767046,0.595625431939881,0.6243476662599844,0.6680813131550247,0.6943373377153464,0.883543075768296,0.823272521914893,0.8331461191511499,0.905242744341473,0.9904196880546862,0.9385991206208927,1.0227530806751544,1.1057882986297711,1.1584742058871855,1.3515846691314526,0.994389855517819,0.9700125100657883,0.8980195861560796,0.8539474580413532,0.860716875111844,0.8093894821035086,0.936061328072911,0.8046339700420414,0.8882239801751823,0.9334463473517998,0.8774500569501471,0.9132867113539207,0.8214738393051015,0.8774705451252095,0.8562674719014068,0.8599936559542469,0.9547822142480856,0.9687500726012027,1.0021289025980733,1.6368528626736736,2.8073510380410527,3.4235601409810297,3.738422618914784,2.209028446261524,1.8328121776422943,2.7141409852399363,2.035166867555217,2.144241230494781,1.9847070467379873,2.3033224659888405,2.28386990651692,1.377189883214961,1.2763987599376334,1.8674002760319581,1.54600431661988,1.509217101900259,1.3939888607607547,1.0878338325451735,1.0668547866045512,1.1675025860722534,1.0641193166420417,1.0401782623458538,1.1869632944363737,0.9642484302451856,1.0885343516533303,1.036188644575974,1.1501126715728918,1.4139684910938106,1.180250063860622,1.3218078350032259,1.0347794971478839,1.5983986943379467,0.9881281946370033,0.9704104189259529,0.9597705273660652,0.9725325280133668,0.9045182798467007,0.8408101210700213,1.183065733846796,0.8474143865307514,0.8969431184579861,0.8069729077710605,0.8724563010223823,0.8584026646894779,0.9289639733222746,0.9511613251274295,0.9841552335132351,1.1433196656136186,1.1237168476833197,1.0195092210454348,0.9481286487621108,1.0426620411234622,0.9561177348156046,0.8322573427322194,0.7124236149796322,0.7649419674139676,0.7184977308532216,0.6476176121643388,0.7021390454042479,0.6475881253098154,0.6850174917918219,0.6393815355337575,0.6784449136643428,0.8384741357736598,0.7576455412935797,0.7679941093808939,0.5986568152763407,0.5521332211308487,0.5435810092792507,0.556946950446891,0.6371813954407057,0.6537685275825164,0.7791463127594795,0.8143466774012474,1.0288919097739722,0.9267695428946634,0.901423090841691,0.7886559185499381,0.6866950177104506,0.5636473448561238,0.5062432900502053,0.5581734206552513,0.5523841160502533,0.6125686647551795,0.6280341305261007,0.668728927893748,0.6636279858236537,0.6549789137246363,0.7529153570235383,0.7396542169847712,0.765885141087117,0.7847182055412384,0.8636992443932009,0.7457086731216133,1.1859173100617955,0.9702517241843092,0.8253921119980895,1.0228410960724617,0.9195333681420348,0.8307153780229403,0.8191311934291622,0.8030203043209783,0.7259271680919762,0.704889253132596,0.624241770242035,0.5771279699468448,0.5927133802893135,0.644074087900686,0.7606191148666971,1.4035506079548388,1.1976577426873767,0.7052999076168001,0.6263482604306487,0.5873106562231638,0.6268489623994922,0.6241456274232101,0.7289858069211483,0.7389949289584674,0.7913075348660904,0.7790408689893227,0.7991891498335115,0.9118192135338882,0.8294601542491274,0.977186312017791,1.0620292933256184,1.0351707707249214,0.8287990144252404,0.8094157775637226,0.7846162480500679,0.7692534354322534,0.7646400996858678,0.7223529895798243,0.7381256369354575,0.8154831419490148,0.8430239031884383,0.7604256591150865,1.1356678956758812,0.6714338882499746,0.7449969198348805,0.764889292593071,0.7945639984295724,0.9313893751799104,0.9945852360389191,1.153349525630383,1.5459331798359648,1.2314667187322004,1.4988956886199536,2.216106621330016,1.3111005984682522,1.2286985837974167,0.9423143382342011,0.9015223031378227,0.8296783802837648,0.7954055829725141,0.7115202508453299,0.6758327054204052,0.5946553834009977,0.5489415623602765,0.5647780287443461,0.6094451126392068,0.5803719360436659,0.6101186413865146,0.7004126828336075,0.6829028837343525,0.7214738954346813,0.802032682705805,0.8671987789706374,0.8905742152687157,0.9446058284737879,1.036728233637692,1.1222856338362637,1.167013679645841,1.0783069417257913,1.0538499496282903,0.8526644553099201,0.8757779519276461,0.8394082088789883,1.5631742958076804,1.0456232363081424,1.4529500153612331,0.7538798589061334,0.728099830385622,0.7555781079975722,0.7895186535060572,0.7664682407149089,0.6914602193129479,0.7064756911420407,0.8560714981480755,0.8808401667457605,0.7592202023755639,1.088611630561427,1.0211596252579187,0.9679963581820669,1.1623177216390974,0.7417275547459324,0.7492544296685726,0.7251414716916572,0.6797794133472024,0.813950068341189,0.8104721505370425,0.8973274136225476,0.7395671618991383,0.6870991645958646,0.8125866813665528,0.7371148208797342,0.6385742826457231,0.7684713126183383,0.8715692215059144,0.7415531746379886,0.7678336748964113,0.9753895078500098,1.0388189409912967,0.9106500356729017,0.8880341785547324,0.7912522392570087,0.7078590241437637,0.6477260220911184,0.6815997347253777,0.6766807565274576,0.6718972750707064,0.687696620596234,0.6901207574637436,0.7227882277121085,0.70535183890118,0.7737574874348867,0.9655599994199051,0.8817369659811128,0.874059692419182,0.9717527248752367,1.3029160968977063,1.1438048197810933,1.0109918196495402,1.3525785120541167,1.4914100354552478,1.143142141718848,1.086812009183622,0.9530323009151455,0.8861759193164397,1.0791136303581763,0.9287389328407203,1.0034731221354292,1.0968951559064195,0.7919398217092826,0.6818941289576964,0.6320188935160707,0.5802094231123013,0.5496071375690491,0.5523564166091335,0.573052614239409,1.4743122741841213,0.6152134393329189,0.6075712160226037,0.6584482846135121,0.8979768101577987,0.5361407137695022,0.6856415099395294,0.8956504664000994,1.4857536297715794,2.110956797597472,3.300819213281981],[0.7280906360470331,0.831271334527645,0.925073459264404,0.8502614203844464,0.8776245149457875,0.8354603379020386,0.8909974788939586,0.9980208929766915,0.9863574527064796,1.1360071448491316,1.273548641755925,1.3209971494208277,1.3792091954572785,1.3847611588949735,1.7091441154260292,1.6416426028725277,1.5703174941313278,1.6648550329779221,1.5981173427924544,1.5583319893165224,1.551427433192592,1.5858015083264825,1.5279875632942528,1.604490135777128,1.3814078676576735,1.4105209519992687,1.3985822815185278,1.4506698833209752,1.5746949961104744,1.5596232012599043,1.7657406989916453,1.6365686034812381,1.7381332977440982,1.7851430049097656,1.7078892677578692,1.6824673049158936,1.6013876837403291,1.5076799372976948,1.4004173415179566,1.3757448930578229,1.3029423086958292,1.4303030316489944,1.442028248311756,1.953767663781934,2.9491031057012886,3.4846692964757824,3.7527706522215474,2.4024698149631187,2.0354597188608796,2.820736547381584,2.265407071234093,2.440380364677649,2.2932846993287015,2.5917646503335794,2.380505456409501,1.8338824728940117,1.6631828858501643,2.189819232910824,1.898884723304901,1.8315832880882008,1.7476473245706092,1.6270785085231878,1.7313547360108241,1.7062695609537046,1.5649866422123662,1.6356692415588856,1.7342827194423616,1.692081490974442,1.7674788981130187,1.798196417294485,1.838050288821233,1.9956030190209355,1.9011394867232851,1.9108413074109771,1.7954884289084778,2.114418670381388,1.736920869174026,1.7555030797986009,1.7072588787558765,1.6412570593671885,1.6020321343712622,1.4835861546825335,1.6987366789151572,1.4101974989118116,1.4207617777376857,1.4402016183964081,1.527183873981154,1.6070320037437855,1.652040057602981,1.755547081186451,1.7828013066820156,1.9111407240409957,1.9222390542569974,1.8619709569120861,1.780028084431613,1.8562712706216697,1.7463283080687209,1.6491874651083613,1.5024492389579316,1.4513938218750486,1.5144243901064063,1.3821611651222998,1.449930458285007,1.3061582475757934,1.3258914541970348,1.1977787451011752,1.1879110600811345,1.1971613981588778,1.0907391584745174,1.1941984794790634,1.0394171303342634,1.101981676411339,1.0717851880940745,1.087682226606856,1.2213012995263344,1.1679340331511168,1.3695363272520313,1.2126094123193865,1.540428294293154,1.6013698213871919,1.5190064475735494,1.3720785245877745,1.0876630394322733,1.0085743033295225,0.9534278735193359,1.0094714967436014,0.9950833522039303,1.0206220064195752,1.0434997368893497,1.1473601145631303,1.0866956402737136,1.1053318445422575,1.1440391628459237,1.1923238397603009,1.1683360265920801,1.1803129481320171,1.1287650212714218,1.2032424276600224,1.5180938698473792,1.2549177724811535,1.1222291312078578,1.3190219530117056,1.2355433980543487,1.2205802725932042,1.2777265687012764,1.3810798171417178,1.289391938102599,1.339646774739072,1.2689122256906786,1.1909037918885705,1.1307136507235487,1.1828665330166461,1.281925672125412,1.5695414066050941,1.5795499654044023,1.3940645819457353,1.3609675361112126,1.2785177217323993,1.353770971220666,1.2712671804450515,1.2699941949431128,1.354708733558686,1.2507981970434006,1.2863512391471186,1.2286401508929188,1.251057674848507,1.1978894413828507,1.213934110634232,1.2818500832697801,1.2943825662859303,1.2054688857293343,1.1735626496862046,1.2021183738058716,1.2549755478000941,1.3306065582819209,1.3523803304047675,1.413911169389264,1.482454947707658,1.4198747569514991,1.3525396417410145,1.5187694943721972,1.2396025084496758,1.252784650792732,1.2355260344558305,1.2431954720513314,1.3544996917446122,1.4076404782416445,1.4962770787044148,1.7647283727917071,1.5597104001977913,1.7637731918056996,2.598197848620232,1.599847092123374,1.5331084387203389,1.305575866175937,1.20184503869788,1.1645005836724793,1.183674639348571,1.0613445407285964,1.0675008122218281,0.984532622132964,0.9667868661360212,0.9674906726943596,0.9631291063489319,0.9235096445566827,0.9305812462439597,1.0111039092732508,0.9671025520224997,0.9462326856807611,0.9964950085754578,1.0556028490066467,1.0385851951898348,1.0422312045078443,1.1240072653534623,1.2061130293080309,1.2439422226537695,1.18114281842501,1.205093005980207,1.0865351438568929,1.0632796570094152,1.0626287844851798,1.6965772091860651,1.236586693041483,1.6352492088945882,1.093432627295732,1.0265108036979773,1.075943919202619,1.1531321778697556,1.0613497319393106,1.020305939932991,1.0569819967665752,1.1694795163302303,1.1374683345254104,1.09200444383492,1.3995762031813885,1.2657901326385543,1.2333838611315693,1.3105297972267642,1.0631456014430187,1.1571960612013157,1.1111008170422256,1.0423342579875998,1.1575275720490172,1.141667823956032,1.1958902491717103,1.087270084285482,1.0200447956650718,1.0843890042105755,1.0191531276877832,0.9633613865905172,1.0254643115821482,1.084031110834021,0.9786593035761212,0.9767536666562604,1.1268593517662222,1.1690777959614422,1.0526742407619933,1.0331486740280353,0.9886553711285055,0.9722828816598437,0.9511329629586354,0.9957224972576578,0.9584315294849295,0.9422626286424669,0.9787526752681298,0.9980308567908479,1.0111383754539134,1.0203561869350288,1.0539086621251157,1.1920939471461385,1.1378478915477763,1.1550151486807787,1.2535404044395808,1.502921657639478,1.4061719683251706,1.2883167693418103,1.5876391494308977,1.6878501157352495,1.3688563532955669,1.3026331028114582,1.1626621273515758,1.0946533097227122,1.2947524312264418,1.1995569154342107,1.3121853955749405,1.3795901556097043,1.1504317453450563,1.0581646795086241,1.0033005146485352,0.9742872645825698,0.9025033035888854,0.9834055317394778,0.9691380416923607,1.6230165971550445,0.9787397295416986,0.9243264228252618,0.9144991686449631,1.0712615297484094,0.8372057937247489,0.9667125375834317,1.1016840934282461,1.722569801806895,2.30192365715919,3.7264097767038127],[0.6815465769251048,0.6585468412924744,0.8074551398681098,0.6780589474568575,0.7327706889840995,0.833244553598739,0.8668266654632542,0.9969121632642605,1.0021511661698967,1.0586752166507392,1.1601597540436774,1.1984900236231877,1.1646506691101484,1.171205964891815,1.3606098495307324,1.2579208994817623,1.1299384861790465,1.0908854151353096,0.9671808592918701,0.9724393591624777,0.9459659407516596,1.0122368530030839,1.0235853781777122,1.223480005640818,0.8922361128753692,0.9005787955719986,0.9158806904053561,0.9657510654821905,1.0780323700661605,1.140705444981748,1.2259019830565685,1.227701046309005,1.308722956982279,1.2481899603428022,1.1914233801714027,1.14178267949733,1.152670327961512,1.0228764005219237,0.9845064827594365,0.9691260522645421,0.9408485493958745,0.9439061756366238,0.940567984682212,1.4857767777494517,2.585427159501166,3.1634671822734637,3.3079860891878394,1.8903553399136221,1.6303696361126383,2.365015854642791,1.7258488725105416,1.9813113331952479,1.7785442067559691,1.9890244993146464,1.9323458283366932,1.43563227392494,1.3575589159517216,1.6800849462458567,1.4404399236868524,1.369237068501483,1.3166592073769894,1.0557670902569505,1.095476198051327,1.1601695565802235,0.9970438403326863,1.0256534126846346,1.0917463399278575,0.9983065665541847,1.0420566283566288,1.1136572123145745,1.1137996789207352,1.274425070988562,1.1690046445337126,1.275183128514793,1.0981575034430766,1.6036938871023507,1.0502111779439722,1.0844671119356308,1.0850478647113138,1.0742290969601127,1.1259955769333725,1.0268049207592607,1.3867399259857571,1.0900311760194692,1.1067393916079589,1.0462068163197282,1.030638180878109,1.1486531565554656,1.093379608989417,1.1715976104835775,1.1714288701656284,1.2635778131978181,1.304996410660771,1.3321746584948626,1.3397897171474513,1.450035728918634,1.4442546653452633,1.353356897286343,1.2878931025621663,1.3392143197401232,1.2570284985360805,1.2331948988733565,1.176252818504953,1.1314116156575205,1.106958478956394,1.07202679639289,1.080534831350459,1.0374611543124195,0.9714641636699133,1.1273663645018857,0.9566018826698852,0.9966305300973726,0.9982409410430767,0.9571113820691547,1.0284023062350627,0.9313507518385717,0.9978979306660823,0.8321038856929677,1.035163144022666,1.04479800210757,1.0079453606065403,1.0589433734696228,0.8517391243065436,0.8649532169157192,0.8925321150132631,0.8737125542235227,0.9202451264376155,0.8831503969189016,0.8863567462429194,0.9565895025962531,0.8852760127030228,0.9046029135048047,0.8874541600842565,0.9649038479845362,0.9201959142881271,0.9286895084519593,0.9217204484244453,0.9455567132740842,1.3796607282797566,0.9911685343288801,0.813479053116211,1.0548479925933363,0.9151934073577577,0.8928857477811948,0.9069153788486478,0.9986799427395531,0.9658776379039534,1.0762767964246098,1.0930404495316752,1.0928934531164378,1.0805048017174268,1.176145005978793,1.2735333274191605,1.7068275859148458,1.5702213104230873,1.2734566854746656,1.2020812354155501,1.1506714524441588,1.1442293670188848,1.104642867186644,1.0947966311977224,1.0238044114128424,0.9474018310501403,0.9448223585564607,0.9231513417068856,0.9729787476555423,0.9405956357190038,0.9807245619934027,1.0740880747408965,1.1093759491549708,0.9484173399239632,0.9196664137043449,0.9405920568438415,0.9851490139080045,1.0354585682159905,1.0873869239535152,1.1106695580070762,1.170832740233875,1.0865197830927338,1.0540474177660077,1.2314154802561157,1.0281904744026549,1.0063955430438267,0.9804579106321206,0.9705835987277832,1.0771402315645289,1.105995749726794,1.2080485829944514,1.5692240685799765,1.2799251260051214,1.5157580191728963,2.405898656496118,1.4027757954061948,1.3466788742048792,1.0958933078355422,0.9387991303437988,0.9108085041875168,0.9777859273178887,0.8616365406104477,0.9333275536007859,0.8372345449447438,0.8852984950886058,0.8546933255142201,0.7926686417503842,0.8293363776610571,0.8751332102829682,0.8369029614122473,0.8197501182192418,0.9017440811276409,0.8968806312771124,0.8735053916805776,0.8963941170285272,0.9661307816748415,0.9595266132996833,0.9883107631571615,1.0418794585782982,1.0827295167574447,0.9755178503562963,0.8537888833433821,0.865811906655181,0.8515103724724206,1.7273780777214385,1.0389176862445093,1.4956719481508856,0.935482238952797,0.9388291521964078,1.0087886632350607,1.022503711754559,0.9011118452414005,0.8634263297781344,0.8571091792994816,0.9277124934453931,0.8948431774580675,0.8587683432830815,1.2531229921723404,1.0398629507015258,0.9467062997763116,1.1323202547589357,0.8367191772232292,1.0243557197591602,0.995506371937444,0.9567664439373722,1.157915016975433,1.166271275759558,1.2520959197134334,1.075059890231887,1.0258031428334349,1.1984982641304256,1.0851021921291084,0.9727863886552464,1.1157652530948492,1.1946501492900143,1.0255014281497408,1.0347209365558852,1.2109365640656375,1.2446220447141787,1.0444948281470987,1.0435862770905215,0.9364763324640992,0.943246028814347,0.9107666401275277,0.9073560442835895,0.8543951652143501,0.817185278988454,0.8487990238867377,0.8037669508363173,0.790697397989414,0.8130843304284295,0.8353611892802234,0.9377670414722776,0.8750627165139453,0.9118262605132836,0.9452795000328824,1.2840878531722477,1.147371713400162,1.0164334377397786,1.3106529202213655,1.4631592497724097,1.1034149544588585,1.019347931479933,0.920172452316791,0.8590097182244858,1.009402665926167,0.9202464111271963,1.0143903951503055,1.119566035614163,0.9081703089493554,0.8489754732252967,0.820413198901687,0.809694899682354,0.804583983245735,0.9337537065567024,0.9704527134327288,1.7328429582968388,0.9597913824759473,0.9305171114370621,0.9798789593127992,1.0810410491901046,0.8733171831229304,0.9623418615472942,1.2556257432136357,1.8488100273276105,2.489287818319883,3.880475339151235],[0.4633580351421596,0.4356330109410808,0.5309121838881404,0.42724580800230133,0.37127320178273215,0.3958822812483656,0.35537249262342446,0.4065285936268905,0.4500082506269353,0.4649019859054996,0.5118067361903028,0.5473353210193467,0.5465867595177719,0.5632725139402132,0.7433749028022829,0.6751773435391335,0.6561681193807224,0.7157328215582306,0.7647796091502194,0.7295292832285253,0.7831674342845639,0.8580105603964214,0.9358995222016204,1.1300797710522545,0.779973087597126,0.7654906785000409,0.6980580688712008,0.6468059003403837,0.6657073492031987,0.6567957349255593,0.7661989232076577,0.6605543212433097,0.7979010565141428,0.7954965551314827,0.7129175038186479,0.7288978388471783,0.6524325154636336,0.6938036278519191,0.662348749093081,0.6666951881092622,0.7889384087171087,0.7762758123059466,0.7840715049466367,1.400506948288357,2.5882988044405537,3.2104275370376665,3.3889570019883606,1.867427953670087,1.5980674831785497,2.3886120250728835,1.6714542526492637,1.8714161440012511,1.6542786712260575,1.8997399680877811,2.002147427214532,1.1982752691622451,1.194198165640076,1.5846776634811306,1.3492098715182377,1.325443495458077,1.2400423110971979,0.9024379023101818,0.8713579064772822,1.0601988453024302,0.8749119796678384,0.8213189963257614,0.9659779702694702,0.7570512635878901,0.8901642682701453,0.8454685887572467,0.9602132451922929,1.2136287268087906,0.9693794259947167,1.172487522038941,0.8272952946964993,1.4627268961646251,0.7868826010828784,0.7788599550579755,0.7615427841311251,0.7870002195683441,0.7244747612850546,0.6730402447873908,1.0605360881453942,0.7128390923824034,0.7459539308239612,0.6464848752787985,0.6723811208868766,0.7318219463962022,0.7436064434774537,0.784273787866144,0.8128067805950548,0.9533845738330854,0.938612545065315,0.8784815871691787,0.8076677826549967,0.9147799747900965,0.8445172029874914,0.7608656018662698,0.665873949072698,0.7898405396446277,0.6518369553450496,0.6294955954793967,0.5858686155661945,0.5895765167092891,0.5595941315367675,0.5411214512706206,0.5815331056927022,0.6951918864284184,0.609196864294354,0.6436313786394244,0.4378618316885281,0.4251336566557951,0.42452759498672055,0.41647529470987515,0.49911708023537327,0.46812541716419453,0.5759765079392677,0.5750946056528945,0.7922348560308698,0.7125891673688693,0.6622093244418106,0.6091067133783725,0.4957733446234127,0.39893545541892006,0.38865079949282205,0.4039966454929435,0.4051199941243245,0.44297038259702565,0.45289058629532664,0.5123359864837316,0.4789529607938791,0.4592511245659448,0.5626004051946364,0.579306164700541,0.594265404641538,0.6137681837889353,0.8043710843048122,0.6040228931571088,1.1576641733431372,0.7752526723453234,0.6280866670400093,0.8957929524543592,0.7770329186855742,0.6361816649401999,0.6200416679137922,0.6366104481993302,0.5457235568818127,0.5682524062466539,0.5337484840917317,0.5142403452923043,0.5040962457894288,0.6246926319306707,0.7621756264780437,1.462868825154367,1.2262151168828377,0.7067511388244733,0.5707866441058213,0.5383611623701963,0.5295030965452652,0.5454160505294406,0.6131447915531866,0.5831398672741814,0.6236259276513394,0.5877450716513002,0.6141325955111099,0.755583494211496,0.6866772730102305,0.8197344954926923,0.96224877304627,0.9620747625774373,0.7046586300775601,0.6592154024605239,0.6298870877956,0.6125821972643427,0.6047547484314874,0.5851689281987105,0.6052324911119513,0.68900139479518,0.6789394108833416,0.5856144398861204,0.9765438564256723,0.5396126728006843,0.5928537124244128,0.5967796122047638,0.6260071033443136,0.8017817773758128,0.8642792662678387,1.0141514087103802,1.4181819662224178,1.0421422677423398,1.2891933232401,2.1260456536158294,1.1642004177698058,1.1002640416598832,0.7938392248063911,0.7101580712161812,0.678713244486888,0.6064693664537917,0.5327624966374963,0.5169844563527642,0.4103104725333445,0.39612044817813574,0.39368444169880623,0.42032923326586175,0.4269344858196091,0.48902832087661313,0.5218170350244293,0.5259278175531301,0.618612040818054,0.6578455841060715,0.6923313191596668,0.7311863993880795,0.8088649669977909,0.8878082829517663,0.9441485853249599,0.9680106958076632,0.9711205134171884,0.8834358902985461,0.678674205419985,0.7110692365950608,0.6859584269472299,1.6261378007032357,0.8929361967838096,1.3834357947036333,0.6206895483511934,0.6194443082364635,0.6502602276195537,0.6544842993066697,0.5938314622283688,0.48212806237071365,0.5055763326260151,0.6476323368976719,0.6594069847144892,0.547311415018891,0.9998486424834947,0.7999205946392604,0.748349024746248,0.9777141215994136,0.5454484606356869,0.6131048177365176,0.5812037981807054,0.5792346967488141,0.8113800541302868,0.8453612318521783,0.9088871868303844,0.7276123239227178,0.6691394510013131,0.8735046429274166,0.7563846705182953,0.5947196868075167,0.7886360395915645,0.9000258538899648,0.7213156530694707,0.7530934297578913,0.9786086986546895,1.0401249915988773,0.8485616201624183,0.8417183313242289,0.691915185625396,0.6322289168036387,0.5491217127228587,0.5520080119008991,0.572566352170583,0.5233959028678595,0.5056123665468596,0.5020789430835947,0.5340598782294899,0.5191935231905154,0.5646879908005971,0.7619813024883744,0.6921999050698334,0.6864279347963906,0.7796500372362551,1.1880926244208072,1.0127654399077373,0.8707141402680347,1.1805970600595626,1.357381186757697,1.0121461880405072,0.9224050758566258,0.7862441171411393,0.6995410187102367,0.9228421036938359,0.7789178462715669,0.8793312918687881,0.9913640646967383,0.6578489905868159,0.5165149895864481,0.4416584878281101,0.4358719641921497,0.39510315806097035,0.4439324178561094,0.5224867175731667,1.5356738203087836,0.5030723048718543,0.5210130830859944,0.6177566963722627,0.8314349910460749,0.47250981238023176,0.6623154684075115,0.9224873645940171,1.5137910487730426,2.222188486768498,3.441905873727525],[0.4579332620985519,0.3984538995169373,0.503778135836108,0.3888472192805216,0.3302953509950512,0.35633950042031176,0.28830185972159145,0.3191477045536746,0.35467854198569587,0.3295953167477467,0.34764673711806804,0.39198608794672757,0.3599675023195956,0.3893117513512092,0.5139015068257532,0.469289732138471,0.446232358927549,0.516542452363272,0.6057138467895973,0.588314447160718,0.6455812216457849,0.7419655667656545,0.789745069770736,1.0174486826597853,0.682619944952382,0.6797883511735534,0.5930097923390614,0.5034781147377322,0.4911827044191927,0.47724393138461213,0.5080561562797992,0.4646009972327025,0.5521514485952429,0.5327469037468658,0.4779318073676067,0.510685745411529,0.4491446327149754,0.5167436934501805,0.5165780539410529,0.5023221898551422,0.7372507016283383,0.6345367516204754,0.6273197918723614,1.1178793519203314,2.3112298991290188,2.9669946386857764,3.0907165763061384,1.5358883760764632,1.3802268288980233,2.114622245053416,1.3376505798821055,1.6710920843956332,1.3516797886032241,1.5607406256018965,2.002958698272941,1.0408580509742815,1.2025905469635443,1.370604050759297,1.2631495188801884,1.1354459023896406,1.0621993965238608,0.7243978781579807,0.6646253025688663,0.9019179938287923,0.6930632634097883,0.6386015263865421,0.80552724474783,0.561329201470787,0.7256254882166219,0.6341029583410995,0.8312757189384279,1.0886168994085976,0.764026736584623,0.9715816713371377,0.6018843806123643,1.2889453702112603,0.5754812703049654,0.5415085598187871,0.5450604740430546,0.5779590439648907,0.5328401308540537,0.5147499323193631,0.9738052585258865,0.5607987679879394,0.675458419610048,0.4876665298216794,0.49439778183644,0.551780702268414,0.5255408785877693,0.5402249006018255,0.5643785833310723,0.7160014053621481,0.6612389557488746,0.589713363724074,0.5516524968002517,0.6358726998006425,0.6093381847302118,0.5390766516656604,0.4869207425169464,0.6946718877847815,0.46687915940677926,0.525021631201819,0.4267483204947765,0.4849805361840788,0.44873770198349994,0.4776686723788777,0.5550263550802181,0.6013407887193547,0.561647395007891,0.5964013439115838,0.38684322507660684,0.3482093673654797,0.3405135620950116,0.3369974755491817,0.3760034850590303,0.37515583920297874,0.44468306087512877,0.47878837338622693,0.6228093387527315,0.5158967131042117,0.5012749414323995,0.4419933664260142,0.4328075281493896,0.3431577307954162,0.32222723675466713,0.3325547904917708,0.36447847349882684,0.3755769485020858,0.3741946333519793,0.43602230082650006,0.4361603302392897,0.41043780930071067,0.4749543850645309,0.5206196325497232,0.5095177339945559,0.5418409937684814,0.8449621188010982,0.5123197929094333,1.151183363208451,0.6463233184248199,0.5333327477827404,0.7954494314021743,0.7075911659250478,0.530822107823043,0.4950305479814756,0.4962037591419156,0.41804076219478264,0.420022708931801,0.4044367548365338,0.41764801631561027,0.437528541057376,0.5327943665416356,0.7102439903759848,1.490038289399008,1.201870309423215,0.6072645866777049,0.42378373837693856,0.43824094729280477,0.3798662641359246,0.44224286607971336,0.49759538499849604,0.4358199682751712,0.4992487844844886,0.45016976591289914,0.5171403802994925,0.6721063376595703,0.5983733724832918,0.7545581059312454,0.9396110733668375,0.9347003680673521,0.6519221800969874,0.581891062342555,0.5237626220780581,0.4885073762553043,0.4560732350369893,0.4340029974305404,0.4580672286707623,0.5757860618896811,0.5198657322096865,0.4440831006594255,0.8315850849409562,0.41408329175211017,0.4478913566689955,0.4644146269766416,0.5015689475985574,0.6846857217018913,0.7713886365374512,0.920469588574231,1.3867413665051485,0.9599152640339463,1.175067798016843,1.999693497424558,1.1124317106793005,1.0560760005377652,0.7266548486530493,0.6207145055168929,0.6336374561838758,0.5361416170600428,0.46415335773013183,0.4943587407502272,0.3758927155532038,0.3894452307092006,0.37022732408916675,0.3847782573078081,0.4177512369490867,0.4790750447489972,0.5148119783559209,0.5146491242795516,0.6250138541021009,0.6461689819105025,0.6763245692243764,0.720550898262625,0.7989346445327035,0.8730981486135899,0.9069208031875337,0.9416241865385598,0.9698355163365169,0.8708180458853731,0.6524176293396148,0.6993398316922415,0.6719441497920138,1.6845632158050192,0.8856989105032343,1.4121025562822058,0.6149379806340248,0.6243388644648922,0.6682711984642985,0.6630824683218839,0.5818285168792754,0.4589613246146341,0.48847080817598887,0.6012417751581984,0.627256762352311,0.4886154317593524,0.9375154807829594,0.7050965412866218,0.684321287526061,0.9180569397893519,0.47534387549072366,0.5554738935055905,0.547396645337194,0.5891043489438845,0.837559421918726,0.879393124813214,0.9448348149302136,0.7602602752096375,0.6966925159650843,0.910306376388979,0.7966241408872065,0.6173381992219169,0.8203715831733561,0.9272992199903005,0.7359702980814196,0.7765681944062587,1.0113792086535902,1.0560350181118723,0.8602231414127564,0.8627986865329763,0.7052057662044529,0.652256273179748,0.5614632670249264,0.5551826240476092,0.5778080226023209,0.5200943879101065,0.5018241343739103,0.4883227691760137,0.5183565947945352,0.4867130714301897,0.5216515189859513,0.7240693390507997,0.6578699131595469,0.6225571833699599,0.7071992478761182,1.1279841893838691,0.9488846437257591,0.8386966532772745,1.1045127394172005,1.3220087836735444,1.0135730264857816,0.9080932991259473,0.7714933178153213,0.6727692489747565,0.9091612847362238,0.7702464753927438,0.8612215031275312,0.9688000375671245,0.6346218774331457,0.4717718703926606,0.3883784060383359,0.3797129431831651,0.3700317527549179,0.4201991398535858,0.5185013289647012,1.571177543651526,0.48466171690623633,0.5245165299199573,0.6065932716045161,0.8016601593404361,0.4830254430646118,0.6598269180505237,0.9442712938075568,1.5025151791411653,2.205332811574221,3.3798874686982154],[0.41615497193634204,0.3951068912893244,0.5053991317428909,0.40913559879846856,0.38016791534554834,0.31400472722288025,0.2604545756805568,0.2692017376683491,0.3180100782834849,0.3224982539321422,0.3341584432107628,0.3972775029839011,0.35383623596704533,0.39366908361332287,0.5091913543380208,0.45407901693590985,0.4449047674859313,0.4880814719867207,0.5597576246296297,0.5492786122233392,0.6161014120618876,0.7626716073820284,0.7742872585872934,1.036007804977178,0.6823204799878718,0.6569125160325205,0.5621058513917474,0.4878852393523768,0.47277753181461196,0.4593672802432706,0.49806959326155387,0.4455234435444788,0.5253954998660476,0.5272480931693987,0.46349463732637103,0.49719134287449795,0.4264686903994862,0.48589815855388707,0.5003089786272862,0.4891965583161578,0.725582697818539,0.6101451394963588,0.6314172311339173,1.2011946543630374,2.4230010701640703,3.0864711343051487,3.336071768841674,1.7342092120458314,1.48131213675788,2.3028900168643207,1.5253308876095613,1.7545097984256348,1.4626053292530097,1.7519178319297435,2.1808254368537296,1.0451255293431168,1.1282274141720017,1.4954939609266777,1.3060317866162825,1.2118893561826514,1.0829632477170217,0.7174604715937938,0.6456836636073032,0.8493692370589614,0.6718861339327238,0.6326714182369169,0.7890194920948919,0.5305811013924921,0.7052175809944321,0.6372434415893988,0.8094800586757721,1.0714359342484872,0.7646200802944904,0.9745352159188693,0.6029634116302667,1.2584734629809287,0.5621145837806508,0.5235239190935792,0.5249175669506077,0.575637335928441,0.5091281321917358,0.5195422897485816,0.9391299417793549,0.5422149404322955,0.66220977276384,0.4640924258386057,0.4716252470314778,0.5200144178618423,0.5123001192853653,0.5253231778119208,0.5567966109120006,0.7285954414498594,0.6727979739523113,0.5847941846234991,0.5407367182497221,0.6274781866383162,0.5869997471572284,0.5058323823200543,0.44372785700562595,0.6652456918872283,0.4310635076008092,0.5125192554868622,0.3833223477556773,0.47133987897171625,0.4561861062977588,0.48547131891611167,0.549348334413551,0.6195297847056503,0.5690826518166203,0.610015079059068,0.39271263864766065,0.35036560744264916,0.3252047473115958,0.3528444965757773,0.3753698073315632,0.3939103685682154,0.4499888087866579,0.5040034140419385,0.6346433387321133,0.5128943321806196,0.5099146832990789,0.45453102048622107,0.4363630316781883,0.3655402229003668,0.3563301215864849,0.3746134306286868,0.3634888161505386,0.38965760933117893,0.38080343135340544,0.47205393702689546,0.4771996124637465,0.4601441494652231,0.521308873718508,0.5246857033105404,0.5336625002247591,0.5886422163530043,0.8269537979415783,0.5610050396831435,1.1620993324880564,0.7101293379947042,0.5726161976089121,0.7702919621813513,0.6684388040078995,0.5377372096623326,0.49708693050317415,0.49006890452967794,0.42666175482423463,0.4113487924144841,0.38923948874247855,0.3970877478633007,0.4427969452971233,0.503863033523839,0.6803865999932395,1.4567775088345525,1.175198380019482,0.568816311273583,0.3913399519671565,0.415220226007895,0.3625816313562876,0.4250243031479269,0.5064303469892404,0.44139642867618945,0.509360249200093,0.4544956256952767,0.5384167704267361,0.7212547274145336,0.6558361080027557,0.8626560310429338,1.0477907681940932,0.9858445952723447,0.7114130452791183,0.6075064634004552,0.5457401551904403,0.5040244296979317,0.46301988169555697,0.42072491003391865,0.4339611765485123,0.5438332681537043,0.4990807123770211,0.4290811317057545,0.8648909428394178,0.4237801120014846,0.4718572714068954,0.5000088036575785,0.5421030078855525,0.6875004540367672,0.7760027295617243,0.9274261421705939,1.4445324045450614,1.0289201480798453,1.294185129081298,2.0551313862787772,1.1737840422764998,1.1025791946907624,0.7796266655962691,0.7081869744685155,0.6843750427277052,0.5841108531021859,0.4943260314306898,0.516876184278442,0.3934026987981352,0.37807713311552427,0.37476569327103626,0.3938242640117004,0.4222344461782006,0.48371661997675874,0.5229920835367853,0.5335312240057987,0.6362210568365787,0.6665553895048489,0.7008165976222609,0.7646397564777146,0.8494274710302815,0.8935065399852593,0.9619419033583604,0.9846820715750988,0.9980024474015625,0.9037605841398334,0.6887072120687953,0.7428771694596132,0.710935700751881,1.5907760177668921,0.9036665478415292,1.4083353835126728,0.6332195981855887,0.6149333431979289,0.6384183772246481,0.6011554386685565,0.6082194591629485,0.475146436365006,0.5037122147993166,0.6315485790957609,0.6853634448310878,0.5307662099481693,0.8994282467554046,0.7823196498074099,0.731612719872082,0.9640197201158371,0.5186900496572462,0.5673728635041386,0.5397843806920815,0.5638167211892542,0.7801269959536979,0.8221231870543174,0.8711553308470595,0.7158561183671083,0.6516016005544215,0.8294734113662162,0.7502608520508397,0.5993219790012272,0.7964986203836073,0.9082121438532592,0.7424540408741404,0.7854005532964328,1.009380113031957,1.0723892197921707,0.879847959668087,0.8756056780864602,0.7243077733192788,0.6634018056230753,0.5624976668367709,0.5699365041837364,0.5994197900985564,0.5403512380133565,0.5105757567129628,0.5261346257166626,0.5567884911838085,0.5146145227159113,0.5681253211765287,0.7920835900541262,0.6972873760696077,0.6704960769319607,0.7624783815387045,1.2051501108633256,0.9985000812129796,0.867509643454516,1.1265206016100158,1.3178660310363757,1.0415674362704936,0.9209731694143525,0.7762821205563109,0.6794319858133717,0.8921940525585379,0.7689136912081036,0.8764119551940386,1.0009148512080763,0.6706423026610426,0.4912477158293686,0.4146410486530135,0.3838509556356303,0.3659289649797507,0.41590704797846634,0.4640479290117346,1.5259679729439592,0.4978811737367605,0.4896628525259058,0.5435344381443608,0.8704941677005065,0.42920207824442025,0.6311486515913165,0.8301290502689218,1.423124968838498,2.133782980664829,3.1550901370936746],[0.4519769749021164,0.402211693514433,0.4772903311430631,0.36938508885471166,0.34610460917494534,0.2953840676397522,0.23000139433750333,0.28410473456591384,0.3067383981423388,0.29767983927311015,0.32762023554682396,0.4038936307277645,0.33650860363609686,0.379359784868053,0.5032803627507103,0.4504977460209006,0.4321574839047803,0.49605344719753036,0.5622866352671769,0.5481563984921374,0.5951009635424217,0.7097996874293286,0.7383202931712582,0.9522610602612297,0.6318951058969349,0.6237691195221108,0.5275156162367968,0.4569168682040529,0.4590840968323992,0.45356100596811266,0.4910702741518944,0.4647827345065593,0.5554930596945239,0.5583803912248709,0.46525603746372685,0.4895351713244671,0.41489618955878943,0.46456681162252617,0.4579461034684905,0.4398306558343002,0.7062275029673739,0.5776974182521476,0.564011681631722,1.0108721562024048,2.2009735858438684,2.881819175505802,3.0306652590585497,1.4291049046186208,1.2954482925791733,2.029692290892158,1.2270550851277142,1.6307094596527594,1.2276696881130615,1.395573951557556,2.0840711906208274,1.0115013069818177,1.2278191501912552,1.2992329455207332,1.2894703686050226,1.0651829898766376,1.0148362029804918,0.698118659169084,0.6220064333580165,0.8487631243384254,0.6328939456626977,0.5844322719869273,0.7873998618005299,0.5579155043040446,0.7273296678315496,0.6451534109342074,0.8745767520938278,1.1394521587699398,0.8030314543453091,0.9938327289541099,0.612443771556143,1.2694644053070678,0.5745053741092558,0.5376027766885374,0.5188169488938112,0.5465229934759618,0.5132958066227021,0.47515652971403266,0.9628369381641528,0.5003288857622429,0.608038823847759,0.4251254250145243,0.4579541344227439,0.5332443553338474,0.502396619234592,0.5555421651120395,0.5770036197063424,0.7321602394281137,0.6457665119915903,0.5850125900262044,0.5492047960782803,0.62964052345691,0.5772040765359517,0.5354276163940211,0.4848988535787114,0.733027186326592,0.45526472749258956,0.5599514058847523,0.3942576509752719,0.5019262866269949,0.46840039753832435,0.484434652748641,0.5886167778405125,0.5461067858624078,0.5343401961337655,0.5842754260932524,0.37521217568422033,0.30106324275092583,0.27467233769154714,0.31863615748854424,0.3436529866320767,0.343659984923545,0.41692195851754105,0.4274179846011033,0.5809552438375767,0.5041767281036649,0.4795220178881553,0.4135500370818806,0.3949237577280708,0.30813655526635125,0.32037021247346,0.3078309789330689,0.3448246940750034,0.34399728912718613,0.3168742962877752,0.43189208022391073,0.42747274033485677,0.4207047574609242,0.4403060425166837,0.5150343027079093,0.4724059653664524,0.5361345022280507,0.8979870557001778,0.4951834163237607,1.1606697452211994,0.5939826680591033,0.4764638020837567,0.6921768795504046,0.6211162321861399,0.4591896754106088,0.42546967641725636,0.4349660429225805,0.3671125447503337,0.378129580029468,0.35786068903519236,0.3978910882141139,0.43270155187745035,0.5302608849104481,0.7578970405955388,1.5503960952800078,1.1972963581704494,0.6079642838623672,0.4167236630997629,0.45565722577362067,0.3759866997136732,0.4299812427208038,0.44478215639052554,0.3876479913501864,0.4288130735866708,0.37448663610070865,0.4537830806719593,0.6433067686447727,0.5911712803512775,0.793633252226759,1.0379822068166205,0.9759539465900252,0.6863007944143722,0.5419995513726195,0.4671970822223928,0.43363063067575136,0.39493532623303745,0.39965149427100716,0.42132877192740337,0.5584859769116082,0.46343669382002306,0.40859875991644823,0.7787280994803535,0.38868124942623705,0.40906281001933587,0.4102386079902126,0.45436598869233,0.6061760767212863,0.7097268169158253,0.8383352296874331,1.4086894365922509,0.925702736705527,1.1435795502345296,1.9210978630079243,1.080167233235369,1.0190864600795977,0.6807849695572226,0.5871815294819522,0.6339987813503107,0.4760998532247077,0.42375108374686593,0.4520583851296129,0.35110658506008374,0.3650623549532505,0.32994546912244865,0.3707082403826462,0.4370553352818885,0.4890088986066101,0.5058577718799545,0.5394839984373736,0.6713904853782894,0.6647769237797202,0.6904768781589029,0.7684103765828367,0.8464675272284462,0.8840789177734809,0.9298352103719212,0.9331621827502667,1.0242279482908099,0.8895378367633663,0.6777541435064537,0.7555862181511993,0.7299414214498293,1.7063545503271214,0.9389139502422242,1.4929437146729132,0.6601247961774062,0.6368064864138921,0.6852095139268886,0.6361537628982514,0.5925927550099274,0.4439945971775079,0.49675208637544527,0.5709768976013117,0.6341245543721289,0.4834224781904683,0.8689171056112495,0.6661565692455218,0.6480518566611905,0.8723132269252853,0.45943587808136255,0.5043929684427743,0.5267294929067082,0.6097632649382494,0.8428069299291624,0.9429013497037573,0.942247721973228,0.7896114339282849,0.7450446080936177,0.9260407789426534,0.8379086382884713,0.6699926492850027,0.881794557313628,0.9846129904064194,0.7889679283230895,0.8468691791418343,1.0862840533887679,1.1188007445655148,0.9255508002426428,0.9455255925297861,0.7768631263011508,0.7289860801817483,0.62559339016174,0.6158891686930551,0.6415978660827139,0.5633704133191355,0.5316499368314789,0.5315822825870574,0.5543608014357643,0.5014762865330816,0.5363744960005682,0.7509311523261776,0.6567462201762043,0.6068532506814626,0.6900243334091679,1.1100262411313346,0.9140093754146281,0.8340953105157952,1.025943839102056,1.272289063604648,1.0447234240003798,0.892646222349143,0.7482882983859694,0.6436319377093138,0.8799223540204186,0.7828519432174249,0.8932642047665547,0.9741667212137448,0.6587107813139019,0.45548534158416426,0.3576720585624956,0.3651193952102517,0.3428051505816769,0.390038383272387,0.49490608379275264,1.6038828632789515,0.46604003277294964,0.4952265178683988,0.5842849867169055,0.8520378350125142,0.45244164761066297,0.6079239832508618,0.8670778488921045,1.4072247464334777,2.1847587346262447,3.1291939099575656],[0.468901287925932,0.463478138724663,0.5297735063072349,0.4273624174111124,0.4157556172715712,0.3376811486650627,0.29901964202315756,0.3275596278313519,0.3519775985562166,0.34842189631540554,0.35406739931355374,0.4263499202531032,0.3797277940998672,0.4228763743210821,0.5019778947756646,0.4384527123765503,0.46235552760115617,0.47832239158885187,0.5411117724254508,0.5225017417086761,0.5811232959951802,0.730645255328035,0.7341875430315052,0.9549602025964514,0.6451873454330186,0.6160610025909917,0.5048744822937972,0.46007892684689894,0.4730420443383341,0.45344545190210217,0.483010268512832,0.46500074334614716,0.5178705196528562,0.5278591696085856,0.4589722629009486,0.47440307944990495,0.40771189484408543,0.4581573363149968,0.45326190967211716,0.44014239408170325,0.6958452421631194,0.5553132484407449,0.571148410027456,1.0575716593013293,2.272156365209167,2.9696964765257903,3.259814882480092,1.6027369152656656,1.39639322702537,2.224527497442818,1.4162691316473213,1.7296955469619444,1.3350120385605757,1.6162946844340653,2.3297601312886482,1.0024307467359317,1.1466448183919768,1.4475127151940819,1.3685429893250034,1.1326097606622512,1.0206487356194205,0.6963414562688305,0.6222737502122584,0.7833146093487936,0.6216433666964943,0.5873044939630687,0.7647690221866442,0.5418363230673038,0.701551323155061,0.6571381984364165,0.8548970389025847,1.101974091578994,0.8029449171171765,0.954299858685814,0.609093862697236,1.218378285729444,0.5546780138846646,0.5118075246163885,0.4984213879826952,0.5295644980065164,0.4725327387521287,0.5196700264238212,0.8647958388506747,0.4705802815808789,0.6023882282333463,0.4279868723687458,0.4509514215745675,0.5210557885724986,0.48986089658320475,0.5235090932184709,0.5419579790393193,0.7188063202484685,0.6339786636577073,0.5626805936303559,0.5301085323618846,0.6051075825782725,0.5703208036136721,0.5059730706084709,0.4693524325543619,0.713025703605184,0.45227452299316984,0.5834313106547646,0.38966018872470926,0.50592193843417,0.49164369739043645,0.5042718824922788,0.600188027710613,0.6165515446763827,0.6124697229511932,0.6447040953119096,0.4715140494856106,0.3662795217159188,0.35408133054848423,0.3605537023413577,0.3690585229192529,0.3729782692391972,0.431666579997493,0.47404399086448984,0.6063742757583946,0.49054973885929026,0.5054488058771389,0.4346462106935988,0.4273163615956284,0.3606988738498133,0.35453295227918064,0.37221456322088625,0.43235967722570856,0.43088916548174017,0.4024503076212624,0.49092656297452425,0.5008146688427229,0.4927536185741815,0.5032293301453665,0.5526501064805077,0.5124185382522556,0.6089900560896842,0.8746072971918032,0.48242633886783987,1.0769695304683609,0.6584620117286891,0.5137784283928368,0.6596908640914257,0.5932648744000194,0.4826649246964103,0.44174922383010773,0.454354350977724,0.3830294708720636,0.39184701056400817,0.35874232263419686,0.4313004948783934,0.484056087213903,0.5283374370449054,0.7446318314502826,1.4391321126619379,1.1287920613901288,0.5833148023933168,0.42900114212272955,0.4721754951338113,0.3797761527170681,0.4381577562141344,0.4608389184923392,0.4013842061485129,0.4439038444715954,0.39240058412907386,0.49004027356158447,0.7270536232948651,0.6304793701605487,0.910464801371266,1.1380602296366893,0.9990030241945888,0.7146767124963739,0.5805918516687151,0.4941949336002048,0.4581463859492731,0.42070292242053986,0.4047725107407846,0.4320420196784062,0.5664667270782872,0.4469121234052993,0.3974609817643171,0.8510773068500895,0.4112097556671517,0.43852109915702364,0.465121685921163,0.4946848919609444,0.6135144816444207,0.7410046580215777,0.8852100305417492,1.4698241940065284,1.0001443686556266,1.2367616069306362,1.9091881343227308,1.1398283636316404,1.0975788373466755,0.7638370988718616,0.6979580151642467,0.6825870150887551,0.5650407614962835,0.4990280235210324,0.5163144028434963,0.4271207225224845,0.40070000159778535,0.400689682613315,0.43771977632730896,0.48874630142817826,0.5293969042540607,0.5354350945176557,0.5910788417812586,0.7141325197523859,0.7186657882778013,0.7503549869083261,0.8533577658023301,0.9429514189912397,0.9458399785020509,1.0352094434398513,1.009162787457681,1.1007045985239405,0.9452722338699165,0.7545105895565449,0.8282226709000986,0.8065267903364106,1.5527494162552995,1.0059463177787447,1.535686685844013,0.708900308488919,0.6260122763071109,0.6668302360043001,0.6195894242790806,0.6316280481275626,0.5010317599024985,0.5603263538438065,0.6710490166137957,0.7691427993608017,0.5829943401850818,0.8400894761571037,0.8028264604682329,0.7380821380916778,0.9643624175099866,0.5581220109339919,0.52352540006374,0.5078903386128211,0.5903678805803159,0.7864496953757424,0.895108041576502,0.8630708943229204,0.7481812292847277,0.7129601364325855,0.8402515929934717,0.8010683049381692,0.6617659920966288,0.8673560574861376,0.9800509767326578,0.8143910231543073,0.8731990615221669,1.1130109194206521,1.2020710202102505,0.9816803338971246,0.9941219381986881,0.8400771772224422,0.7716127619320836,0.6439259182595635,0.639525158082854,0.6879961283441645,0.6142434058707796,0.579729398480327,0.6118285010592495,0.644813656737914,0.5788402539787092,0.6335629636770453,0.8524081926960719,0.7317467342964673,0.6808524074208715,0.7926475859100924,1.1914885861137532,0.9792206581727895,0.8800556306905831,1.0642858409481715,1.2650074211329683,1.1031503475293236,0.914664476304127,0.7669060903235128,0.6722334973445471,0.8508610922157817,0.7965305723984043,0.9270987335695992,1.0023330119296054,0.7089247205467929,0.4842828118904507,0.4198786167415601,0.3700068532910582,0.4022876224056865,0.4786735785508854,0.5344304219478452,1.5957073792348746,0.5865781915853194,0.5281335287919199,0.5984072464888949,0.9860870217539629,0.456876819776507,0.6155249537650165,0.7284093185237224,1.3153816661876774,2.0697555945710233,2.8239099292763195],[0.3930659092805936,0.3562375630844788,0.42683464161945217,0.33446304641450614,0.4089128954952995,0.3177590683082188,0.2872899429135616,0.34930640042097144,0.3691027275532736,0.3209677207435495,0.3231855554135826,0.42507294955896013,0.3446189388240336,0.34630548981119164,0.42770233507345357,0.37427100254594,0.4087577864238384,0.4229644607202442,0.48725186221157846,0.47239808054977583,0.5042570267107405,0.6753731157185887,0.6577144908245879,0.8556168683037225,0.5853886147727004,0.5513773881517646,0.4338897981349746,0.3900827241225864,0.40309627300695666,0.39123167512215945,0.4203618415231189,0.4447804963647549,0.4903305431588868,0.4764916526146789,0.4074190462609692,0.41727777622048007,0.37583492384899486,0.3907604890406181,0.3884596313055226,0.36780264226765247,0.7024119406630647,0.47664879782588027,0.4737862396962845,0.8463587955966355,1.9994948643250243,2.7183531941060024,2.959220737139689,1.3186120351010442,1.2251644425730739,1.9837597689300301,1.1581062039790355,1.655787615507253,1.1425459308393617,1.3013576470562334,2.3906371654344323,0.9233872443758931,1.1856807781443601,1.2975452266892427,1.3779781900592252,1.0449159934535623,0.938847783183723,0.6739903791740259,0.5367891128726295,0.6886015398624908,0.5189783949547699,0.5144667490252032,0.7016862130900928,0.48215584048264953,0.6518792363539454,0.5789147596356825,0.8517712043722323,1.0862445744127216,0.7431923067618881,0.8645300239469017,0.5248108786537786,1.1211811691639186,0.48263504871026974,0.44883369843062604,0.4383457664844691,0.4603506878000169,0.4675337290691403,0.5115032029836935,0.8189479750702982,0.44985211178829765,0.5736954005864843,0.39183987624454764,0.4124370713772663,0.5031122721173403,0.41673612591071496,0.49719707913752953,0.4759002999948251,0.640227747345901,0.5465813840765343,0.4891230137667562,0.4718004440438574,0.5310809760079946,0.5347354184568646,0.4766759105218419,0.4636730120972702,0.7223174090218402,0.45449082470753893,0.6361535635793683,0.4176299143997148,0.5184331361557687,0.5179143128641677,0.5111294176064393,0.6482351648427974,0.5801621263024547,0.5826087405326184,0.621781903616667,0.45153579689960865,0.35015830422570005,0.3141561221475699,0.31398276759382415,0.33045244391819967,0.31034145718483874,0.41611052023785294,0.38545864543111646,0.4627179579844784,0.437028030235783,0.43385731835230246,0.36898429780935016,0.3512156656723606,0.28096594305800243,0.3080701507854373,0.3373307013382999,0.40061396744497607,0.3872803234979613,0.3771099962057343,0.4550636852384599,0.45258785480318753,0.47205710994438504,0.4415184220687839,0.5130938901242814,0.45793275849936976,0.5589467708546008,0.9380023803295632,0.425772765184772,1.0186216469008869,0.5467199811079952,0.42914615656656835,0.544708847781038,0.5007603898043007,0.41212005263296025,0.36891623762968434,0.40215064188771077,0.34046979254349086,0.37895157183161726,0.325517354202242,0.3982746008249126,0.47384524148184815,0.5042683756513379,0.7695462995485471,1.4509437195887918,1.0789145465160213,0.5666659352892162,0.4326331422192688,0.4721764702090499,0.3844135952524833,0.44406830828831023,0.4111318312417305,0.3529990911013688,0.3637520184926176,0.32970377479588736,0.4126209567493942,0.6459025599701249,0.6211478935800353,0.9345879609386415,1.1968236887873118,1.021855518673016,0.7338006321364652,0.5194175797471041,0.4297689205975736,0.4024458750212165,0.3775800514694927,0.3812702168831822,0.4202743832310646,0.6125406893017293,0.4012123526032686,0.4000976382404687,0.7510675137882211,0.38692084062280874,0.416880062783908,0.4412103418389033,0.44816640274545305,0.5312166892141043,0.6565017929421363,0.7739985907980481,1.501504650268144,0.9391405475582623,1.1135487871862173,1.7308974123490006,1.043623060719095,1.0140236556280189,0.6758439650706676,0.5949894022983659,0.6383636263387553,0.48448794956793223,0.43323136275335367,0.44047073551281335,0.35840038595893065,0.3555988447652272,0.33022132924003594,0.36327644240797774,0.45472142632193646,0.4907778976145389,0.4856804168701267,0.5481153029458447,0.7089478549644442,0.6634353539691343,0.6836503816386862,0.8100045831048873,0.9170804280148778,0.8752438288542035,0.9438490012948721,0.9264553791697951,1.0793688840393958,0.9105142308213808,0.7044119120557067,0.7981760609181368,0.7867819328999367,1.6258388067720717,1.0095712160173134,1.5479411555731972,0.6957660996397393,0.6534673381096929,0.7120301477855997,0.6089442185216033,0.6353684832023734,0.4703729093963584,0.523682317181464,0.5849774923675318,0.7172054761900309,0.5262601195174575,0.765580774276844,0.7085273019619764,0.6752040533081717,0.8530207966552531,0.47272247753713237,0.46493248807843257,0.4759358350478921,0.5980180746929551,0.8011547329485832,0.9542354779572154,0.8750541566256822,0.7758728262721469,0.7404297632400697,0.8839974860944187,0.8299839879880694,0.6903352964997046,0.9319217762960547,1.0406023210882143,0.8391639182152143,0.922248314991057,1.1682674505860706,1.228751992953502,1.0047732764958426,1.0327531333807292,0.8527438104210013,0.8057562424547814,0.6725845415790475,0.6590223102152462,0.7069862506736417,0.6060430381421025,0.5597111411667203,0.5805151192087975,0.5972308905391941,0.5230653688236135,0.5794633519381904,0.778086653116164,0.6656106494724283,0.6255207719067553,0.7091030499798444,1.132392153325907,0.8910818489476363,0.8424755546291619,0.9839843735980393,1.2302340731585921,1.097435706193211,0.9003130486544022,0.7322313203938341,0.5982615707423039,0.8910708936759683,0.8578353161229383,0.9753067578637854,1.0126351966884737,0.7127065031523497,0.45459994182898383,0.3671872910513923,0.36760962169978045,0.35469423299859865,0.41517925977105025,0.4916582533490035,1.542620464782766,0.5308993138954186,0.4788057755640132,0.5690002609388933,0.9578021258960993,0.4050625998623111,0.5641647577386444,0.6539046335796489,1.2029924292266736,2.0139288290617916,2.5716016990173753],[0.43966134521111,0.34712193345731607,0.3987042510343856,0.30703457232541803,0.3739671782785974,0.3299179543146057,0.2704708558454533,0.363405127532429,0.3612417902358963,0.32859109998799624,0.3404379376090189,0.4624978416623608,0.35267308336905695,0.3473318883753438,0.45560413180525466,0.4270767125077999,0.4446575756299573,0.4585696769389144,0.5071294979843807,0.4998668987033808,0.5189418542794296,0.6462506468230804,0.6689181407307466,0.8359791570460571,0.5928811337310083,0.5621307360264024,0.4395016176239845,0.39613683297130037,0.4209027309788326,0.41873907735427557,0.4830678469451919,0.5067115571596847,0.5580502968026009,0.5379149774878255,0.4669831306338552,0.4657086066244473,0.405417738113376,0.4190788004532801,0.3867102273325312,0.3705306695311936,0.6738525525771959,0.4951963142718389,0.4645908709926245,0.7441082373267158,1.8779345396196088,2.5928552833382286,2.7323837930862456,1.1273585368629142,1.1136710616271097,1.796056113824887,1.0070887239960262,1.6614704343238291,1.1167566888599103,1.0709458271708727,2.199339199680297,0.9293481164270849,1.3231986309114985,1.1145871176157742,1.2938563095724485,0.9476779909612082,0.9130736049884012,0.6744501933441783,0.5822683030213563,0.7893425629368026,0.5575239996873794,0.5376788585418755,0.7796249831823588,0.5613113684598394,0.7156297416931027,0.6328441774504634,0.9294164066618086,1.1901846998464471,0.8143499879994528,0.9296542562513457,0.5803377446288295,1.1648793980400642,0.5384294623891481,0.5247367816553691,0.4887184559928309,0.49608142378837794,0.5129555913849287,0.5096796198807103,0.9086932807994873,0.45096897748124937,0.5636107928273218,0.41976416648519715,0.4316929916749857,0.5342397006506394,0.46345184897418956,0.5341308009170869,0.5407173032363215,0.6721377524462783,0.5996489832436788,0.5483536792688287,0.5294042646812047,0.5867784024058502,0.5830385639641457,0.5406769237526644,0.5361452473599688,0.8035227652725878,0.5064756253290706,0.679067051516502,0.45879987399921,0.5890336896009937,0.5588284945366689,0.5323188538816511,0.7120296824725948,0.5335107562083177,0.5552918373850743,0.6265288333470685,0.43528018621730835,0.34533796606251327,0.30147812962632486,0.35369514009098496,0.3473590481355726,0.35191592189803816,0.42333434930520447,0.38331538993546255,0.4998245407831429,0.4869625372180509,0.44050674769153797,0.3891990887177246,0.36964909123923084,0.3101954502520512,0.33312534088769524,0.3353458704273958,0.3685239700500209,0.36506222411633604,0.3499848067681901,0.44713830833844104,0.43501062105621274,0.46906326452156744,0.4246776825290018,0.5393251526216718,0.4465817601727156,0.5250921846810193,0.9612193462597814,0.4154535628086112,1.0857592149111497,0.5064335456647934,0.4455370345673019,0.5663485519650546,0.5309182693625718,0.4216643977500789,0.3691757898499859,0.38414279581800387,0.3441579803954742,0.3789937110737649,0.3479597855455889,0.4170719065690913,0.4814673229995373,0.5554789272848294,0.8466029003435938,1.5638001145340186,1.1343631126725244,0.6379678857212101,0.47251291685505675,0.5259598806456317,0.4355339004351471,0.4781863533401752,0.420303487649826,0.36665964186073113,0.35374090287435417,0.3223243950145582,0.4032380865869239,0.5999258476497552,0.5911783277964852,0.8809307868626556,1.1606521046041258,1.021305747670782,0.7373311034973777,0.5045974043419129,0.4200564203778292,0.3889800120536191,0.3793188692193689,0.42960802559449984,0.4417411011492734,0.6473734168347718,0.43926136851498804,0.4736006599684301,0.7309148799365048,0.40311681023315493,0.4030884524242196,0.42445184120581364,0.44097302979743996,0.5323440887535889,0.6583258886842275,0.7486030795499826,1.4400861091153214,0.8801604341478018,1.0415445110475436,1.7124884680155599,0.990263465595555,0.9502516346630783,0.6279990832827551,0.533090793299603,0.6194075519175896,0.43645026054679176,0.40672805784435223,0.4349580123117739,0.3683854158437751,0.39999792738220563,0.3405225960569224,0.37392383979196253,0.48157708310213043,0.5075510033944737,0.49643057520839856,0.5479112992909242,0.7279284548559372,0.6368335565800537,0.655479501522354,0.7853082065361401,0.868958775609361,0.8400133497541634,0.8797477108321098,0.8733329773045772,1.067880279777278,0.9028058089765099,0.6926495560262312,0.8083520712019318,0.8061924983415637,1.7786160566333282,1.050092627752024,1.5970810342713468,0.7299479167662325,0.7210185817378493,0.77563245644099,0.6905463346867377,0.6689930544899347,0.5001392004837066,0.5691674996099143,0.5722771586717381,0.6944239447967484,0.5133594149760596,0.7891967056813376,0.6423455408406135,0.6473749204281193,0.8076644930589266,0.44685581571583427,0.4720012471041416,0.5228004711474027,0.6600247398633498,0.8773215726068119,1.0534577347516547,0.973371413103402,0.8508983778683685,0.840896574476826,1.0157728975729439,0.9215665356378121,0.7617761107443374,1.0230019630174267,1.1176910970762541,0.8796671717054818,0.9854458101886028,1.2425653066462394,1.2480284977954383,1.0226684668456543,1.0813356859258778,0.8786240669076232,0.8645422524207884,0.7400596973978175,0.7262737995595281,0.7527459580028244,0.6349819018335617,0.6070443279653903,0.5973506332415962,0.6023508897124311,0.5225543370547941,0.5735106961460965,0.7324777534127708,0.6416101321641993,0.5924179080194288,0.6668040679281569,1.0978507240990552,0.8447124792821605,0.829980950655215,0.9505823394505576,1.209583619721896,1.1230726925894483,0.9101493267270865,0.7312781570299944,0.5912328081844185,0.9452892469484151,0.8798525131824136,0.9756783962411898,1.0034380603889428,0.7054315162017293,0.453099697730293,0.36063474182528793,0.37627627010613723,0.35017626987660244,0.41442354275967397,0.5176944893435403,1.6039636968389424,0.4824574916670676,0.48824420672589175,0.5732556415775798,0.8763376394519142,0.43553357647758156,0.5520898621498777,0.7359494939303457,1.2277777121477091,2.149088493750717,2.7098639449006856],[0.4403358135272007,0.33114692842821664,0.3707210244410071,0.27282755020548494,0.3995350346679764,0.3189330418844273,0.256524379137289,0.34458028966231724,0.29464263544936786,0.2557287505028001,0.2936385179398094,0.42717682983238836,0.3013972722380305,0.28312696969193785,0.39907785364646164,0.3617567308160814,0.38244940388438237,0.37731691232962633,0.41257374674917374,0.4242460328063962,0.421635728055588,0.5754277939267195,0.5639961697588446,0.6957635297342727,0.5324746137641814,0.47100175812660877,0.3660416989460512,0.3372550410674799,0.3596620353406006,0.364624169096464,0.39610617331754416,0.4587153430478414,0.4935777003045307,0.47047973873843785,0.4025370367358198,0.38244327747272416,0.37090956454790186,0.37813909996514633,0.3347534840609505,0.3323124537427556,0.675355257092217,0.42416582178309875,0.3890701609564244,0.6185102858033632,1.6998233446720667,2.4450920139678387,2.598292252598229,0.9992431281578416,1.0664935579869588,1.7331416182913786,0.98213541626597,1.7431995563688303,1.1269647673153236,0.986788478082075,2.3432476630838464,0.9181373518633883,1.334968812731095,1.0723024717004321,1.3407540520190429,0.9061322648581872,0.8342990126312716,0.650864793017911,0.5046350160335756,0.6517559162315263,0.4495487428366495,0.46864567975332366,0.6759217563994506,0.4866750129571231,0.6360380417179083,0.556162674827671,0.8718262233264369,1.1518666707862422,0.753599346170494,0.8024023044940032,0.5063554279126657,1.068324823654063,0.45065916154584085,0.4483432851481873,0.4202122019884427,0.4218473220482996,0.4668640100560489,0.5419459917060513,0.8373567319773962,0.41401721896293153,0.503651263649585,0.4089907575195953,0.4093562508790125,0.5196628316246631,0.37237502096515457,0.48743206070578615,0.4401676686897744,0.5896877059121913,0.5194036299625693,0.4728272086563108,0.4565429990908296,0.5120063064415132,0.539426976721901,0.4809890299804018,0.49200976982239414,0.7445155282366392,0.48559871682953687,0.6736308829668184,0.4509890169343411,0.5904496196476742,0.5619252051989921,0.5382791166092248,0.7621522538731201,0.5429417101742297,0.5722971342546943,0.6341395201012291,0.46488252587872964,0.32391370043285367,0.2873884065274569,0.3129514948986124,0.3015915939650993,0.2866904867321882,0.4092070798603096,0.3221843623544242,0.3827235845643011,0.4204531825143568,0.3755498559424161,0.324926829485425,0.3330440153729805,0.25696313992330305,0.285099254823896,0.32172162567269363,0.38904221175468356,0.3577271116243166,0.38804627030436445,0.46419574994687096,0.4371875383887166,0.5004674789452027,0.43576848196821233,0.5552181020153734,0.44222138850222414,0.5284480759187264,1.025246695383425,0.4193006761380256,0.9618419773231897,0.456707641716819,0.41659251839269223,0.4664442788200597,0.4394007145406499,0.35867347045177067,0.31109813648928847,0.35848508107563204,0.30444839612776187,0.3633932905046623,0.3130441282624751,0.36315266822903897,0.45573144045015007,0.4837692229557678,0.7996727750804361,1.4082675733765113,1.0010935588295904,0.5831758552784171,0.4485544258230317,0.49647143393685506,0.4001189092307397,0.4767484702720268,0.37415371624437777,0.34664108042337394,0.3139545470385471,0.2839413881029858,0.3910515895780868,0.6241507480956234,0.6152357470463838,0.9295910138508526,1.2135815013598383,1.0266902859117066,0.7620139294644411,0.5015588616964451,0.41202267273069093,0.3885782790166676,0.36453233120068923,0.41811233722136554,0.4210734343782942,0.6715491991959882,0.4076282240514436,0.47829615388105573,0.7034464270834582,0.3921353524308226,0.40867790777369467,0.4368662030162347,0.44186909552835146,0.502112836165795,0.6430660792312659,0.7256931816243082,1.5119490611546726,0.8950726784214703,0.9461687435400001,1.526671535996864,0.907896910312453,0.8951639815708885,0.5990672885505461,0.5096222874829814,0.6198506312266442,0.4237705821073256,0.4026080529242321,0.42461326975858493,0.3889600120554755,0.4089807629621503,0.34570382874903016,0.3751903938372191,0.4922869991149369,0.4999128947606422,0.4882654921437736,0.5472705545515911,0.7345984316578305,0.6150351479697221,0.643745848390369,0.7854602363494955,0.8682607849596518,0.8328489932424697,0.8616687196640268,0.8457477579818643,1.0564713774876628,0.9044154440883839,0.7047122901513511,0.8147424118782894,0.8258205062010894,1.8104982017109508,1.0835726666031336,1.6126308980249324,0.7500148960171575,0.7352619067487298,0.8067622469339598,0.6972294923762937,0.691869934925824,0.5285354236089553,0.6063330634628303,0.5910196754278126,0.7395254333989013,0.5580753312079147,0.7748999993890693,0.6439842874768164,0.639372561391251,0.775081043501778,0.4542374246629779,0.47465129525597793,0.5249524139917113,0.6830414702351113,0.8704514135733946,1.0877127408760445,0.9607299983172932,0.8596166293694242,0.8585442448372275,1.0096903452615762,0.9376238663188666,0.7783860633165153,1.044745664817931,1.138900010862274,0.8934476768830945,1.009338997730496,1.2635788192771196,1.2799057363400717,1.0350443580795656,1.097575088734693,0.8983968411427631,0.8902454008091494,0.7667715071227384,0.7543784758877016,0.7790935050428744,0.6562762810789888,0.63098947182726,0.6230083700405541,0.6168293274868822,0.5350264984711086,0.591960605174051,0.7448241896643091,0.6410011949385157,0.5866194683430516,0.677702528579588,1.0717656634139912,0.8144158569887985,0.8203819174101006,0.9322907715223805,1.1825438429593507,1.1328534627228635,0.9326520444942458,0.7318405862242549,0.6093159119853646,1.0323280872466982,0.9411253560601536,1.0092939738466957,0.9997744617349591,0.7177296618477517,0.4699696823760229,0.3575314602118053,0.376016745314561,0.37244695344455364,0.4030309508141785,0.507529821052816,1.4964591246484984,0.4778358778743188,0.46631648212575627,0.5689366543554844,0.8943611185443989,0.39820718282130174,0.5189946966591261,0.634458063419694,1.1073001664904714,2.0304610858916328,2.433485702708647],[0.423966484951975,0.36559322453538723,0.39222483106074296,0.2925788147097327,0.39307434826339477,0.3243306426323221,0.26303528965930484,0.37035487904196585,0.3213848241376685,0.2907059390539309,0.31299596566810645,0.4335774015449287,0.31580556516093816,0.3169152902775239,0.4574811950462039,0.39281616504744093,0.3979111354534572,0.4296403299025139,0.4777297161705968,0.4742291422953484,0.4906528863851016,0.631126886951729,0.6201535120478545,0.805082419138829,0.5584982511824772,0.533102017017606,0.41932407798030624,0.38117905358229964,0.4065876264522686,0.39864362795823316,0.4510981508471243,0.4861221147547019,0.5356948018007429,0.5155917695207424,0.4394422169442143,0.42765533071384887,0.40488717354126474,0.39488470755942845,0.36160005494910136,0.33985813221483,0.6856395875440886,0.4526050832128723,0.4262350638852375,0.6852114274379368,1.8080926227099108,2.5351427173061842,2.7007598569782685,1.0730251657009358,1.0827963084971712,1.769551407363436,0.9739110892893139,1.6913183138762735,1.0921737591765472,1.0011393492257235,2.2679702771724846,0.9521808198760361,1.3392645504103355,1.080031034052444,1.3309306840674064,0.9169834794108657,0.855860975484896,0.6418965863810071,0.5344580911172379,0.735601983972232,0.5087243747343939,0.492165871074021,0.7079586099006983,0.5229759413040346,0.6805094296070083,0.5878145028769232,0.8882334355713032,1.1902963573553493,0.7935362951312575,0.8825782714970086,0.553728266298946,1.160507588278162,0.49716512531186036,0.49223631050055655,0.4497156030205411,0.465527485528414,0.4995186414636858,0.5220209721045008,0.8652245294151408,0.42859807749150775,0.5379588113805993,0.4202692988061075,0.42861297726562003,0.5446333716330511,0.4188069551751861,0.5167424486744125,0.49356409984026367,0.6693903163748185,0.5682581264589499,0.521546792752442,0.5005123448513574,0.5543010044831266,0.5760889239906997,0.509769352012984,0.5175755924217237,0.8005633776099795,0.5181735964351155,0.68372312584958,0.46257456642986605,0.5927058866530982,0.5684457884738152,0.5538079823962334,0.7712867651839078,0.5505793448941108,0.5704045485836221,0.6360159401442228,0.47776872061144643,0.34058477562181155,0.29769462952328357,0.3248748799819697,0.309747725171502,0.3044130991483619,0.42056746884053403,0.3627413931818546,0.44445114342621966,0.44674024158876446,0.40991371562490914,0.35047532167790313,0.3457875468451711,0.2638225490183655,0.29604078507456205,0.3183465237465826,0.38001069326349574,0.36783615926429786,0.40267944913102105,0.4804579084253342,0.4552538314824255,0.5124391682283645,0.44699501764132854,0.566283832839238,0.4516286658215989,0.5428212038645672,0.9878609817742546,0.43162636451615205,1.0207355360633898,0.4756795524487974,0.4419785289266984,0.5270331049762366,0.4795015329048118,0.3846797993330067,0.33912507557381344,0.3771828926495003,0.3136963665759782,0.3662543813889055,0.32694044000433925,0.38903193376314016,0.4752038632721786,0.5157080327903041,0.8329443244574061,1.4752774565614075,1.0540924533711977,0.6285633644163677,0.47041175702419524,0.521587906325476,0.4205694607252326,0.47319092122061795,0.3896097825463007,0.3480481331573838,0.3286583033405487,0.2921758612826632,0.39978707016451187,0.6429328508388877,0.6279574373244315,0.9552247163212017,1.2366602037784018,1.0445246115422415,0.764526172811504,0.5075731219316818,0.41387897203054597,0.37484129357990537,0.37053132934982674,0.4191152462555747,0.44100749979430603,0.6573487600898718,0.41159962760278024,0.4795948509741771,0.6919779777047121,0.39698743571119977,0.4125730547227763,0.42993453500179035,0.4340506900221019,0.49159989377796254,0.6341110832185358,0.730675933016837,1.4870096289562165,0.8934882959652949,1.0091050421844807,1.5955505294828563,0.9656956135797334,0.9472139236621193,0.6284449109170929,0.5423108140808622,0.6322578101926769,0.44448634330513415,0.42633306236522395,0.4391919922001264,0.4242511569971953,0.44570050591535176,0.3779400416786319,0.412954260751034,0.5393875832546582,0.5390075694004054,0.5143719296880119,0.5939525403933263,0.7784315000702314,0.6428209197711412,0.6871455274889946,0.8484974399110963,0.911515741784092,0.8369628932852103,0.9126578152025849,0.8981452665648438,1.1227188354758821,0.9767931748952663,0.7817739034725634,0.8931255484854178,0.9113240421546379,1.7741004542637349,1.1882447811200059,1.6598959508098954,0.8124218526819701,0.7852559369165066,0.8547468207608044,0.7383794596993971,0.7399320006211337,0.5867038008613195,0.6488092257503032,0.639559598234159,0.7984848489595502,0.6067348986631089,0.7749871953550742,0.7088985502809186,0.6754422693987407,0.7957881777552522,0.48884150991306285,0.4873549277016515,0.5463445223035048,0.7094899846638081,0.8990993535267642,1.1584604121562585,1.0050936678569107,0.8995806886359402,0.9155631002220049,1.0644073865528918,0.9833002396889318,0.8322588233261013,1.109979583183289,1.2007388881729189,0.9407370599475361,1.0755172181837047,1.335293705405687,1.333062394273225,1.0964032183758075,1.1830508594809912,0.9735871884354517,0.9664931363181345,0.8298765987232628,0.8201184371390665,0.8536486824259064,0.7118688727964089,0.6795864046821085,0.6936647496399937,0.6872856919612285,0.588583825930869,0.6563006164960654,0.8049988422447405,0.6926082113273857,0.6374714383569158,0.7423993744215702,1.1510698532453691,0.8855758002435672,0.8766235409587023,1.014322208311543,1.2162123989357174,1.2281793506722234,0.9834910806953803,0.7674539889030247,0.6348198111064361,1.0389376729746058,0.9695467902010217,1.059323926380619,1.0176482728057703,0.7485964088690448,0.4751296734618099,0.3763937469889553,0.3870038178472572,0.3864210512881563,0.4403600652226245,0.5394138099188283,1.5185039604971384,0.5086105753362403,0.5014266335689058,0.5992471230863117,0.9221165082475115,0.4264629366555285,0.5285044094377707,0.6355073296094732,1.1211947577638546,2.1219622504778735,2.6180468199329217],[0.5577516026847056,0.5741337588282722,0.5248680141650733,0.3598642335383072,0.46999608583850155,0.37980255654510175,0.34732920331135053,0.41735342097140393,0.4098576853976365,0.4242608188982663,0.45753001198807425,0.5071760056859252,0.41933112015553453,0.5116924028077193,0.6103781022288679,0.5086565343371813,0.4778491019199464,0.5633908997205982,0.6113639057072514,0.5970692230006391,0.6970097939017347,0.8684549533080176,0.7740885128078039,0.9925434330773891,0.7279529328624361,0.7282861550435049,0.5745567512348247,0.532701716250126,0.5292347569699556,0.5043474356327549,0.5528745675275841,0.5516842194922118,0.6102897107484893,0.5871773826908745,0.5269331909836611,0.5289314465579275,0.4978299212039639,0.47426051930363744,0.43382274750791794,0.4057417999928141,0.8355867295811669,0.5382614840322179,0.5165588151607674,0.7196726904757295,1.7323811996507548,2.4371516150948462,2.6820672884871044,1.0903050345940302,1.0675079838135417,1.7688613222299994,0.9957578125132251,1.7011086932007373,1.0810688622202882,1.050814933099774,2.4091661503169353,1.051988215515394,1.3793034816146035,1.150097147234897,1.4103137432707635,0.9598969221349323,0.8262726356655946,0.7127818626372019,0.647524482849284,0.8074627261490793,0.6509676028035323,0.6284538400381171,0.7429701108314907,0.5860197516278277,0.7562649065000406,0.6956071347876591,0.9420691390738883,1.2574868946909792,0.8865376886053734,0.8936478650876024,0.6880386985237409,1.2410270376793031,0.6095189811042037,0.5844470423218971,0.5578921887222078,0.5606385173163847,0.5842804592265729,0.6295799363274973,0.8281102369347639,0.4809921427194356,0.6264715980242981,0.49089124232198816,0.5230755679204201,0.6260959028078038,0.5341830919079517,0.5991460630036484,0.5861943495931955,0.7836379024347082,0.6490484214037422,0.6058689796647364,0.5927720444458143,0.6326345489905929,0.6901047199425677,0.5777904881330868,0.5721928202355069,0.8018369469431447,0.5693232266346391,0.7393446861614015,0.5020056494610242,0.6308662720672107,0.6306890587768712,0.6015310447154072,0.8910670245250182,0.6419190451919233,0.6619602958054065,0.7309541268326701,0.5677877527144676,0.41554540935725187,0.3701904274542997,0.39517107075330116,0.424177569972095,0.4500998532832987,0.6156583114630511,0.535226057363096,0.6215806465089323,0.5738237642432137,0.6132820839939626,0.5541112216785352,0.5485336256920016,0.4444493946704968,0.41473658834868604,0.40484036208511587,0.48331236964151414,0.4522841240504461,0.5446510018073756,0.578706719318709,0.5686094406474426,0.6463578864565825,0.5681071005183723,0.6407672559554156,0.5418952499943777,0.6088346804496035,0.9727249142333131,0.482217823233275,0.9919429054609594,0.49161754991720097,0.5374985305793741,0.6130479356324233,0.555502352760064,0.4674605708461935,0.4347469498943023,0.46706950302254313,0.4101685929295187,0.450813748774605,0.39126235109711194,0.42732954350753244,0.5063290247653283,0.5373461113063173,0.8135016606429255,1.3812159405740247,1.0040011067304468,0.6251401842657365,0.505234525485908,0.5445948860377415,0.46734332750959934,0.5141242311050894,0.4278893257736766,0.4191178353455516,0.3957597928189274,0.3939894022697622,0.49472578959441293,0.7146884169269407,0.7249701485865852,1.094409415769304,1.365373502718414,1.1038943195625497,0.8401226255839664,0.5697674387860971,0.49743506798055254,0.43379811009648755,0.4191499110301153,0.45258687458168945,0.46574572259346775,0.69040193419415,0.4430695025252891,0.5085064765975938,0.6860055488750827,0.46736097636955937,0.5101628467362559,0.5350378689409644,0.5382965018463838,0.5556294074180387,0.6493423269508952,0.7741765348844497,1.5131528224035866,0.9310550791801155,1.0745179313031072,1.5609726171647802,1.0181518134431375,1.0153309936645905,0.7224260220462958,0.6538556170735642,0.7183008791925674,0.5975687632168656,0.6088182858128637,0.5790998185032296,0.6665592838864863,0.6478651259363685,0.5510169292674881,0.6401324173473382,0.8209133288626091,0.7841267310019229,0.6892594135054104,0.8719526087196185,1.0785637024136303,0.8961804208831065,0.9675670422693141,1.2077680131784425,1.2573229927499903,1.078650161262318,1.2333172094282874,1.1801934722850949,1.4123194161422554,1.2564238411467914,1.1079100043072831,1.2498028708131823,1.2694536589170693,1.8823523386961598,1.5745534825035623,1.9531083913378915,1.127257198118205,1.073533310999833,1.1202473310915226,0.9909222387180509,0.9968641009864097,0.8895842753669692,0.9321782299964015,0.9114106532973085,1.056324434176299,0.8599312409812075,0.9049608471442748,0.9276097800715923,0.8612381598156023,0.8714298682231056,0.6936679465772231,0.651387750328287,0.7562363651226776,0.9391589396507892,1.0650085149371358,1.3454081795410233,1.1269196791001153,1.0696742053430586,1.1305305138377217,1.219242410032599,1.1219087497190063,1.0609560794106372,1.3500030489814032,1.4173942866738978,1.1957859794549064,1.3737458710254151,1.6266067830195823,1.6463136047942242,1.4576613880999085,1.563815673165006,1.3505095404402463,1.3184569954233174,1.1316687498106868,1.1453474986156809,1.2276014816309146,1.0515542576186376,1.0003842085882466,1.0406149261997504,1.0229166636498546,0.879413018459952,0.968165090648315,1.070721322321393,0.9557891610021225,0.8715715409057555,1.0156333410288068,1.3640226142774166,1.0599177400008635,1.035999203960969,1.2095669756546366,1.328811576643411,1.468018727187632,1.155477066727078,0.9608637214139544,0.8095630059226245,1.1683160473098329,1.0923194342589748,1.1857402325166717,1.1070707454396849,0.8791149067144659,0.5971993007764256,0.5425132170357153,0.4858616397385686,0.4941778658430932,0.594200155086474,0.7456715392838639,1.464533348574461,0.6676634374664622,0.7276123349217544,0.7936514200017076,0.9986700285596429,0.5749192227837726,0.7616833517174069,0.7429316393407989,1.0547444645695765,1.9940515259053702,2.5356596921490877],[0.5349627583753032,0.6114019751237191,0.6477395544228505,0.5647649166236189,0.557738749218429,0.6029510688237428,0.5614960041361705,0.612086292663247,0.5252583318862786,0.4754020469887429,0.48876450558897283,0.6224378948744436,0.5304442412341828,0.4591277494512497,0.5565444165414647,0.559350058608723,0.5815566530406504,0.5183405305962959,0.530093568990464,0.5303766780365916,0.479896361352685,0.5814651424638898,0.6092675990889048,0.6549614617278878,0.6701041597021757,0.522668039296854,0.46205509488401725,0.4668680864987322,0.5184101922845005,0.5275698493285301,0.5837019637402203,0.6396684937514523,0.6425907643690776,0.6191380877034133,0.560514211756225,0.535871488761654,0.5460205650919938,0.5501120950006358,0.5310627635619304,0.5923798147025826,0.5670763333983724,0.5145236380507379,0.5034530123139311,0.5910745061428407,1.532373716641906,2.2720980540132416,2.5111612265655245,0.9667376399681622,1.089709870921054,1.729021129944235,1.1526261582434054,1.994976403202014,1.3802667542208027,1.162465711168996,2.614104949940599,0.9076708398733238,1.274113960143966,1.1804994409756977,1.4364567074992183,1.0417661663072162,0.9266412106864612,0.7826543018942702,0.6454802883419218,0.6745060213959142,0.5358348193003626,0.576205677339815,0.742395376284506,0.6209460505395674,0.7000180123712507,0.651213635034747,0.94060846837637,1.1760027368669272,0.8274933168850573,0.8411740265033113,0.6282559045848687,1.0284615932368724,0.5735292826757232,0.6245290176393887,0.5963352453857912,0.5585768251142605,0.6114502230195388,0.7200777317606495,0.924114820762678,0.6160355569327215,0.6330477749600693,0.5922323410585327,0.5651006569277587,0.6253999308728432,0.5295060256034363,0.6157709486621685,0.5917684483237707,0.7083568236520797,0.6982424308511279,0.6459272964675034,0.6395156546316154,0.6825761425465123,0.7199050569850161,0.6659834568249366,0.6801839293445578,0.8539157880342646,0.677369911550879,0.8505648912598247,0.684351642058076,0.7931101820416709,0.7813797776089114,0.7581026559022068,1.0565026044106165,0.7725584696731506,0.7787916178241983,0.8920205893356139,0.7436882976543594,0.6517395209614779,0.5748130836510201,0.5431030165634139,0.4931726776101854,0.4465491714913084,0.46942795732609405,0.47936367395227364,0.4639504063105128,0.5223297490065688,0.4614099437790079,0.4457593835498358,0.4372638969224048,0.42824923058293024,0.46408190852952935,0.5237076288329063,0.6673194574839255,0.6753164895127712,0.8048592048466069,0.8159352617539658,0.8172801060847253,0.8813215683769919,0.830592300957661,0.8412839539904653,0.7932269499220037,0.8571330249843712,1.037306203788583,0.6870835875311468,1.1125301370279523,0.6440782783547008,0.7136608905866793,0.6770439170482284,0.5225130093860033,0.5312865914575049,0.5121145942962515,0.5395842239170672,0.5208307965992026,0.5697599088218434,0.5623713138000833,0.5837011918983721,0.6959898296129386,0.6873094224349389,0.930995320565817,1.2723901817403802,0.9692586262908666,0.727837062207756,0.6658061652342061,0.697654350682412,0.6262492131798766,0.6979905478447018,0.5989086327347024,0.5827326409398104,0.5523453248843831,0.560124760332104,0.7024132926606365,0.9235583162223101,0.9794279636489038,1.357021300231358,1.611655675718188,1.3560539944956425,1.1238845590047355,0.8124697233159655,0.712389282084355,0.6579927060186621,0.6063371549604099,0.6789821484656494,0.6557584777396261,0.8862377044655942,0.6396634173264221,0.7222213688671435,0.9370946551168701,0.6998116259859466,0.7426690449637942,0.7831887956153316,0.7516654406203968,0.7388735862173195,0.8243913321670492,0.8285585634602313,1.5596038923944138,0.9836959944515101,1.1536218853419407,1.612858359093325,1.1870289961608997,1.159346701827681,0.9383918958807659,0.8769430223803595,0.9700357363295565,0.8372654081601735,0.8281167541805822,0.790869979675302,0.8190853223795203,0.7636448676979725,0.6960557316305886,0.8076065401328864,0.8694880751483085,0.8206965462790803,0.8614482914076841,0.9256702369066095,1.0092972065788572,0.8961084258217854,0.9843684863904326,1.0760854919350724,1.1130295009453564,1.056430047593173,1.1355224882550796,1.1740709929777065,1.3003065394258895,1.2727095836247675,1.1178320299841327,1.1467449366184286,1.170485239269711,1.7870681176014496,1.4561242875179288,1.8872901444509877,1.104463706232719,1.0542390964056707,1.113048681854243,0.9920774864949322,1.016534673632867,0.9401184659477487,1.008008749052074,0.9654475493512223,1.1027074044302756,0.9874612346886602,1.0437221072616394,1.036556811125142,1.002936616383017,0.9919412233997948,0.8721622289475036,0.8192123674648458,0.8943239139339287,1.0172048044643596,1.128959603712874,1.388506641395684,1.1617126897165275,1.12157668231895,1.1140113458908278,1.1877530295691296,1.1386249923069873,1.0434289025615482,1.2686306692325158,1.3432484950600665,1.1328414525803885,1.2386490331095672,1.4554941706018205,1.511997765548014,1.261240233173336,1.3210408973211045,1.1723504928637212,1.1623801971494265,1.064315104533041,1.065763167807111,1.0998354703916038,1.001020423052409,0.9731476744820956,1.0085842872802222,1.0044323865089813,0.9425544174160713,0.9938295291644897,1.0996001316448207,1.0095743498312395,0.9631078617377765,1.0575816020534603,1.300309848074542,1.1744198140446729,1.1482167557246623,1.3338853369843282,1.455739894147999,1.5459123127615797,1.3411921323253604,1.1121750496552059,1.0350261063907031,1.4527862585189781,1.3337367492570136,1.382827144212459,1.2905012746143854,1.113560050841826,0.8131223497393223,0.7689682236890856,0.6005091252258715,0.6117013035295753,0.6862458685513473,0.7738402404127259,1.3373193763793778,0.7676260661387938,0.7620688953631066,0.7910830392070384,0.9955581470202086,0.6545587369548359,0.7274450871621113,0.7949588425175075,1.0817730129134255,1.8237375484978222,2.3698549069047288],[0.6999514608415686,0.7514834752017134,0.7751136308965129,0.5436031847379071,0.7295374555050098,0.6314920967529465,0.6069253253590907,0.649470771349575,0.5815230123314485,0.5324225859919962,0.5087031168695743,0.6300976443239764,0.5692083052779102,0.5096236128756637,0.5719895214472871,0.5744891380962754,0.5737051520151668,0.5417476719080638,0.5524621336106202,0.5857370913659902,0.5383673288385522,0.6805798840065811,0.6763162660831501,0.756078917318657,0.6849491633902859,0.5928752873547138,0.5382253387140015,0.5426920072083711,0.5475099213720178,0.5950778482840097,0.5787387611310099,0.6642289939259862,0.6501083205236312,0.6393153041452598,0.6100907628237177,0.6052719883515233,0.6118484969353285,0.6240267012458902,0.5952351056770647,0.5937646999359987,0.8214059886460335,0.6021134734080564,0.626156466910369,0.8415520470182334,1.862758366494908,2.5962505795477853,2.948937425683011,1.3457845258125998,1.324448185507277,2.0698336261229993,1.3288478515471691,1.827782261116984,1.291841281497493,1.3594818793982137,2.776826505529154,0.9900310293314445,1.2258093088603563,1.4121535414109618,1.5740784199720992,1.1923976580332865,1.030278955031972,0.8593217422893791,0.6531449835465102,0.6514180907207967,0.6025808878202494,0.6144558087033078,0.727094895388928,0.615426121479057,0.6942331170208611,0.6373173211066827,0.8911706594538606,1.1249189899916674,0.7869416837882666,0.8477930938298398,0.6079941600736756,1.0021905835662783,0.6096239357338017,0.6434581702991884,0.6391212648372095,0.5879581820229801,0.6900778618255915,0.8185893213075985,0.9090788863009901,0.6571374081507314,0.6550919224564251,0.6468694716567387,0.6399825884324306,0.7164673905484638,0.5837715687149229,0.6885980906248459,0.6108593082415805,0.6940635672915569,0.6800636661598459,0.621980768693077,0.6223737870881548,0.6398156783725696,0.6719031287289743,0.6536034306030757,0.6692033521059203,0.8457058073630732,0.6846723845233967,0.8476793412151551,0.6970377300872088,0.7752481652893927,0.803514078102007,0.8321281570015528,1.0776223656925628,0.9591231539188397,0.9609754111192966,0.9795052021539421,0.8770915311727502,0.7049385693029561,0.6556660358068066,0.5936354363105318,0.5614125195214285,0.5264717131277331,0.5841689145958997,0.519466260616357,0.5224732119565565,0.5479118813724949,0.5066361155667718,0.4881727352771524,0.49709241912396196,0.49410219138141914,0.5370767513422039,0.634944596452372,0.8481685299102684,0.6857904852143275,0.7180445351303801,0.7312895759061396,0.7438700117237473,0.8071346118979554,0.7551440616653732,0.7823312644958267,0.7226904990868411,0.7881999293261434,1.1263277584330853,0.6770834132615294,0.8333721051071772,0.6918150223289613,0.5831376676820167,0.6418484140435278,0.5951916060995411,0.5869214015190316,0.5647618845570535,0.6289861226545949,0.6064497762817661,0.6559260222110385,0.6455436208042444,0.6379564161400227,0.7465144791944226,0.6976513151004005,0.9178964348148145,1.2568817115812738,0.9425185111817138,0.7048331154158038,0.6732107376752082,0.7057203256210731,0.6804151435377674,0.7427646344381668,0.6670441217953711,0.6423629234122998,0.6029043489189889,0.602152877363425,0.6674971529532968,0.8828646713695403,0.8643292459304848,1.2435668432985434,1.4692293287316227,1.158039950604857,0.9449318932840649,0.714716236884059,0.683312322611742,0.7143730370156464,0.682824530563995,0.694716871365726,0.6856613496981572,0.8882908578638584,0.6901646273550036,0.7065092945269856,1.0396125484815404,0.7063164760028249,0.7136705950133998,0.7296356344030381,0.7370308378782577,0.7520440443841888,0.8509711928780886,0.929929055271593,1.7436792657108517,1.1335495032855258,1.1074928457072237,1.431143728278025,1.0639535323151539,1.1067327598236374,0.8478432569305269,0.8136942597053501,0.8356279218664492,0.7715161577499955,0.7721469892026313,0.7458051260258237,0.8185622766223729,0.8288331545758816,0.7717274643991592,0.7710185803202627,0.8935153461590055,0.903984166102269,0.7451958072558529,0.8651057710160172,1.093658554498178,0.9402179553660716,0.9326577526279177,1.172662364346782,1.2959941814537022,1.030406787279575,1.1559154697866907,1.044522148293686,1.339558003938737,1.1108154997880757,1.002362464989467,1.1213024784696843,1.166364964249638,1.7407604963299173,1.4632052688922572,1.7917508611710602,1.068481840120159,1.0392832559365577,1.120131881605322,0.9870495698729507,1.0290980307773019,0.9310481557718747,0.9833940090897997,0.9778568325225367,1.1363232814947908,0.9409660816318901,0.9424292003230272,1.051149716521617,0.898935098604557,0.982424223424069,0.8241768828147726,0.7917585542288462,0.8672615174315187,0.9792202274701891,1.0896613007386944,1.3691144814899299,1.1834296160197229,1.1409030239198625,1.144423984832679,1.222142359498703,1.1706201627429214,1.0974966518025697,1.339815095807126,1.4174621798545017,1.2226288749904985,1.346749346706645,1.577575723751358,1.671098142780304,1.4152438412105264,1.4746800767325947,1.2780652826929526,1.24317680806681,1.1154334939592545,1.0858745768066267,1.125098583063806,1.0107811257967356,0.9819057561563204,0.9882240914347584,0.9673850058768096,0.877784692863273,0.9515109211572846,1.0418370570365842,0.9225752428449946,0.8910321612693274,0.9978953758402952,1.3181610058412334,1.0282293189239193,1.0256404041552778,1.2074516409702258,1.2858832066995838,1.3846902045940455,1.0917545991551958,0.8964644852471674,0.7976842683255989,1.2055029350571458,1.1451269955511931,1.2176717332858604,1.1300231478517015,0.9000184611110656,0.7573107520711571,0.7229125372616697,0.7788966161790397,0.7855067416576266,0.8331614016885475,0.9037536876149426,1.3481426965113035,0.917152033775778,0.8941995336275145,0.9794413867108152,1.1829271282978993,0.824035195320056,0.8877803612433168,0.9440109333288363,1.127336849844104,1.8083248776702905,2.28869678229565],[0.9571362049705021,1.0395029575886063,1.0948542803093186,0.76069589092251,1.0179755525060101,0.9020417704671252,0.8579503011903322,0.8992984639331059,0.7735791406943567,0.7138576679141317,0.6680459386496357,0.7828108349895239,0.7847410321240528,0.6583335469591186,0.7274603559586604,0.7727578117100655,0.7792023594363723,0.7289232799332964,0.6988369739724483,0.7874464237542815,0.7043988180501947,0.803295942129571,0.8049145536698625,0.8352281230642905,0.826337501474232,0.7300779250410785,0.7505749769516538,0.7575540528873727,0.7667512373896943,0.8289789591522392,0.7639930501241868,0.8920029131188739,0.8546694451596056,0.8339775548995113,0.8337138960586292,0.835205265246008,0.8798312804401219,0.8762803830028212,0.8649990122569247,0.8885159923070404,1.0101227412040972,0.8266242181390078,0.8689227111478691,1.0149730492760098,1.914073367863005,2.652144626352563,3.0010907971816367,1.4760139387927225,1.5000450272918204,2.2088145958216425,1.5316908971590908,2.010690224086013,1.4855820576711698,1.4812710670814713,2.9161787570704663,1.1304030208085833,1.3636954483019328,1.5626972935980536,1.7635901376402303,1.3425971224539834,1.2140965425677324,1.0975775898773106,0.858391247831247,0.7896045637466573,0.7875841993869499,0.8126555354447875,0.8410892930331474,0.7793374673301188,0.8025257295686857,0.7215285822507792,0.9602608381953494,1.130936371952672,0.8242096084438245,0.8857905600300584,0.7412387393728264,1.0481756430239693,0.7789491734489665,0.8452387650401374,0.8732349799908761,0.8441708468823027,0.9402608473172538,1.0825589152118336,1.129839838680491,0.9780160584554931,0.9226716417220251,0.9357168131163255,0.894219993509516,0.9668130474739929,0.8243401999444432,0.8977527250237722,0.7909099982311607,0.8384587230125924,0.8236139914517753,0.801203910015056,0.797461343103812,0.7677722237475467,0.8044168619790296,0.8289574833030563,0.8633484523186798,1.009233322420063,0.9307772220952711,1.1048511184785748,0.9969438157800707,1.0845622632745584,1.134833249251245,1.169178869993302,1.4231686089807674,1.3212105661925206,1.3063683881536754,1.3148070389445445,1.2142672034058737,1.036620291009439,0.9365351030389996,0.8639943473698432,0.7830902158422106,0.7329304030661156,0.7537787835881313,0.6987203045752618,0.6457002294665535,0.6969359839433297,0.6257295317669483,0.6247878284615281,0.6453010054690556,0.6836878463414435,0.7477112323174387,0.9021392264476814,1.1314844254753895,0.9967338324099182,1.0446834158066032,1.0746325751904144,1.0911289491499965,1.1620428910800895,1.1186498749990808,1.1424994195900653,1.0666121833291984,1.0941347288393741,1.385366583078297,1.0030486386133892,0.9682589224092474,0.9523634355939172,0.803546018412033,0.8558837542007868,0.7995357501781651,0.8384443900744311,0.83277702477819,0.878579271915348,0.8669440188347027,0.9232063814003567,0.9428592448424612,0.8956807746421872,1.045488689531772,0.9314334903215007,1.164493353560768,1.3556774590837954,1.0575801228117905,0.9486431765486266,0.9286404053628691,0.9945316640881646,0.9666100324573375,1.0406668586048609,0.9891388506603624,0.9420715265596081,0.9007768436870295,0.9120776764589004,0.9738529776274049,1.1654551901584418,1.1670971890540973,1.4971059987226676,1.6912883549134392,1.3746414538626999,1.2253089883738737,1.0196334145318109,1.0069082012706356,1.0425991005830264,1.0026023409775786,1.028745325139398,0.9917285169134012,1.189693235470421,1.0219062198940883,1.0572072019304521,1.343497180808145,1.061252644679644,1.0760200433045102,1.0759521859561298,1.0674206734052785,1.0464566074456902,1.124934004630301,1.15766192617018,2.0095006656192678,1.4102258744106746,1.2883574541242289,1.4951248106008874,1.2972731722219446,1.354538190242639,1.1753937687340668,1.1526203958028294,1.1673599315648568,1.150588350045456,1.150853594633811,1.1343799828371237,1.243240068275461,1.2567855543981703,1.1768224394126126,1.1799254571657705,1.3061849566503103,1.297895706396662,1.1172269944763558,1.2401607991915076,1.4606378305786183,1.288298321809367,1.260780114166576,1.4786388013216833,1.595400393800896,1.2721015598857344,1.3765904636546589,1.2729207216049028,1.5603652756316855,1.3389680700874937,1.2998972227639691,1.3992638629716,1.4571805786443133,1.938797928336288,1.7881350478343205,2.0531051514136482,1.4115853827834643,1.404344547831354,1.5146165436706265,1.3729860538980942,1.3693096894134085,1.339293116410678,1.3932438165248424,1.3480929154404715,1.4843882275644704,1.3320198178197784,1.3051370831003386,1.3764272390100258,1.2017076377431055,1.2696819532464083,1.189063832085217,1.2023206136927582,1.294611114118514,1.3898438069351076,1.4715448862400935,1.7280408729311496,1.5645568918417638,1.5433633639781328,1.5266412090562693,1.5934057160388684,1.5361946775093969,1.4814367008722622,1.6871840222321366,1.7402461067425536,1.5680759744921502,1.6843712805908038,1.8742268328465557,1.959648765515781,1.7280118632606027,1.7725310347929613,1.601500998311201,1.585495691304086,1.493995004331705,1.4555333237784942,1.4529167801477796,1.377823332520209,1.372205644282959,1.3300736753710434,1.3016580693683297,1.2492671630870185,1.306550361846965,1.2804701150520141,1.2206693491306002,1.2080498696102162,1.2691696430248638,1.511627933326519,1.2543725223418147,1.2625732606549207,1.4536493015944512,1.4724152756108833,1.5838202253920382,1.3160609291661063,1.1745447803645515,1.1194499821056099,1.4506945585913016,1.3549721840537567,1.3905397802745656,1.304281603067046,1.1775490944039293,1.12367768970465,1.103299350545641,1.151648167109665,1.1507238986702413,1.219394757337725,1.309913948507619,1.5267675881155782,1.259714488411384,1.2823543485480966,1.3516308246204802,1.4239564424570852,1.1824571312574566,1.2894056312429958,1.3555565332648658,1.4281948908119901,1.9058448460867332,2.4922636142945986],[0.6869285067565041,0.840163812974589,1.00781291294248,0.7609065050978288,0.9662289027383901,0.8035710001679097,0.7747390744068123,0.7640786981104721,0.6581810033297143,0.657996035454467,0.6051336795166683,0.7001423051844747,0.7100934755472673,0.6215294856215292,0.6476324803349791,0.7078260771156575,0.7447612623269724,0.6986915069317181,0.7007003174156485,0.7748595271492731,0.7124240642114799,0.8143752193201884,0.8238696949286014,0.8653185906914029,0.8918670954898301,0.7598973539437064,0.7604846436806689,0.7631741565512352,0.7311279342146555,0.7581798322736013,0.6950908438786101,0.7798067689467577,0.7347133462462023,0.7362323505534099,0.739937066848347,0.7674599958361277,0.7790466448242641,0.8489966662671383,0.8438602213411331,0.8735787121032089,0.9657223093200443,0.814859118669076,0.8640896443614379,1.0114921879481615,1.9067367599170622,2.6332265093787335,3.0482129845640324,1.5077049916913619,1.4878453523566653,2.2099654502147796,1.561652112373496,2.008915056177385,1.5073631773205611,1.5583449713097393,2.9941255229607044,1.1156046402113848,1.2740078527829581,1.5854765860280713,1.7394507991540427,1.3494223747116594,1.1690657110650704,1.02513173692733,0.8257161477359571,0.8076889909970392,0.768542466804199,0.7796019385165666,0.8661799082255796,0.7776254894060333,0.8144340725447267,0.7559391463276476,0.965591940252594,1.123776761497798,0.8565902308158776,0.9234312235870432,0.7206674290970067,1.0219945858535895,0.7694658124716172,0.7727507185524978,0.8039517107203518,0.7766329037997458,0.8436736600547342,1.0695186012736508,0.9926262064501487,0.8964592474559644,0.8828632664813756,0.862208506127986,0.8408513745405771,0.8695155756205772,0.7680911659692415,0.8104579324939609,0.7324386252399262,0.7491908111101425,0.7471071637655398,0.7112468053831043,0.7120306810735837,0.6866099797105382,0.7202629746059949,0.721589976867762,0.7344617886159964,0.8786935355725211,0.7771629385864074,0.9417903961436171,0.8560206017452574,0.9460713797546366,1.0127488725434866,1.0328470520080026,1.2559144633145676,1.1884896975931631,1.17259302497721,1.1765704182643433,1.070524426057466,0.9367206685232634,0.845803789393939,0.8252000526399714,0.7502794180020945,0.7432712904663695,0.7515793631974026,0.7442884473507568,0.7045866667594928,0.7019717386009171,0.6455473024701524,0.63574657949504,0.6829797663104724,0.7014207265544324,0.7391129798091016,0.877601679610265,1.077198773716456,0.9639891635283441,1.0181727086613745,1.0159874021016733,1.0688659305016621,1.1037068097516454,1.0918629258640526,1.0753357071399015,1.0533284651677894,1.0919337507836522,1.3089586929157202,0.9992829425565589,1.0174927551236141,0.9591046297507324,0.8796410313168727,0.9467440538260218,0.8364228403506321,0.856637651445495,0.8398565575459145,0.8505159822753625,0.8490113428386277,0.8613537473258959,0.8511869652603402,0.7931112856183399,0.8660825491358065,0.758313846355603,0.9320779051584892,1.2229508146041346,0.920925458434794,0.7598501895268501,0.7772169621612236,0.8349817688218357,0.842707340539307,0.9350662483302176,0.9206565378988889,0.8790845322973496,0.8857833602007592,0.8875301478270685,0.9931338359060887,1.1880475867958276,1.2055910446950502,1.5717783515725314,1.7600827965440686,1.4270942005668819,1.2682985182293056,1.0342580251021884,0.9893410134877985,0.9873595998454919,0.9246161521471528,0.9161189384681225,0.8922130023228337,1.0706073514071834,0.9120571615556242,0.95238871228472,1.2626152078164203,0.9693003756054558,1.0196542350996984,1.041791616341084,1.0544864927472117,1.0409600041526885,1.1117175018778693,1.1502746550751246,1.940541235646499,1.3593727848461372,1.343322995475242,1.5356796245821287,1.3178355345520543,1.3592114678868166,1.1682422805945678,1.1501736542598364,1.1606419682230558,1.0973356880632823,1.0824050061946195,1.0412551828396905,1.0749603207581484,1.0552661587677135,1.0290797911297116,1.0483487659011939,1.0819973056557495,1.085936676029049,1.0357475830794032,1.0602929489225779,1.201936619032663,1.121889640208906,1.1118826228917233,1.2745297706351186,1.4011707277589178,1.2136935354411953,1.2640501393122665,1.1342484513094724,1.3632186673793782,1.1781628107178004,1.104393023502213,1.1534944924067487,1.1912462026189499,1.645963398519939,1.5076167388212554,1.8605207082588844,1.1615632904245432,1.1354473661429743,1.230754652792736,1.1080640757639142,1.1288849749930994,1.0951170090360007,1.1528946204879977,1.1447398978792265,1.2927357678272053,1.168005183307024,1.167002483605804,1.2606991695607592,1.1156327507002972,1.2533793562227649,1.110797800581312,1.0620726101277496,1.0927986675092956,1.1352276183048293,1.2112932903949778,1.4643658431070388,1.2597615138071507,1.2691894220823285,1.213599386029061,1.2378079890477562,1.2358831133335764,1.1743849883659663,1.3355861705288414,1.3880631424564491,1.2690533586700432,1.3447715783235112,1.5116445376540677,1.653101726656145,1.4185739683032643,1.4396264989500034,1.2972049345772545,1.2624023085046405,1.1849189260559816,1.1542085261002386,1.1593817389670376,1.1154287296780592,1.1015069524877885,1.0801534503692831,1.0745854525283245,1.0636517982547122,1.103492937764,1.1278333835387093,1.0890125740033434,1.0951688696792137,1.1350510468053157,1.3825167772588765,1.172724665654598,1.2021726945924005,1.3395989717316463,1.4045386746076083,1.4684873467976984,1.2548612533130936,1.0935411430777096,1.0808936249484191,1.4568332206634595,1.3822265302904355,1.3990779894359187,1.330842138890797,1.1727431804632118,1.0832250712321583,1.046738903797664,1.050185144258737,1.042557484621327,1.038441170270367,1.0648029559301249,1.3235107707852007,1.1190507761204451,1.0655370965685407,1.1010368060561184,1.2171800560307047,1.0216094247109893,1.0503973770391994,1.0800886024259837,1.158370044263617,1.5489409500275118,2.0350749656729272],[0.5581785390588356,0.8360584094197171,0.9589274332073698,0.7857471759193502,0.9925895466835961,0.8094914685058513,0.7957786425944634,0.758570620745708,0.6868619711218201,0.700901967662116,0.6484937187673832,0.721195844146865,0.7383264538398708,0.6742983268998834,0.7015581631535327,0.7424369881184019,0.7887541266455033,0.7469410462312659,0.7523451073587452,0.817985773837814,0.7572206330213747,0.8318978396160934,0.8548340716352051,0.8804572299139417,0.8886288324066343,0.7914870014344093,0.7978620210051707,0.8028181966308386,0.7718289407144359,0.7851004811729273,0.7345042028720389,0.7990767277677799,0.7505528291520408,0.7519672700713811,0.7572838564745442,0.7995460329847581,0.7917669778543646,0.8667798850399557,0.8605383000219092,0.8552861457450753,1.0178882024139402,0.8529492906871559,0.8898433621691221,1.0223739826685534,1.903473524810441,2.6455944508649956,2.9792090710885795,1.4773742645263384,1.501824004556489,2.200897692227625,1.5202179794324122,1.9941654415385004,1.4656931095738428,1.470169121219415,2.9063102876084552,1.1027382434394182,1.3406844046527964,1.551023571570952,1.7315104866359388,1.329315398104273,1.1962872177931752,1.079739942629437,0.8570753235391372,0.8269073041478744,0.8080906812574425,0.8199548686018875,0.8894974178935595,0.8208828009809817,0.8522185857378084,0.7857407908296044,0.9957933716227523,1.1497016991724354,0.8827818085781697,0.9310550943108195,0.7651616579290056,1.0310029669945369,0.7979758968200604,0.8058448037214204,0.8320607964934712,0.7932946601191193,0.8540442420160226,1.0482687673832116,0.9971637352193067,0.8778192799204045,0.8663021834198481,0.8614333801988336,0.8553542127610375,0.8814491113666739,0.795054380227538,0.8258783470758079,0.7655679048695156,0.7879884903752731,0.79011427224905,0.7438084931925393,0.7474862923790832,0.7248928388955709,0.7630336246319849,0.7397334571689415,0.744152854713703,0.8546773982932131,0.7636435669003498,0.8998983923102611,0.8181568505701943,0.8756996017623583,0.9561747224105758,0.9764899527258875,1.1784673281352553,1.11372668760623,1.1092921145520602,1.092637052392874,1.0298019170108426,0.9153818502939701,0.8484899917469605,0.8400559170277624,0.790286287443346,0.7890778681583225,0.8070325203191786,0.7885033417627727,0.7282648148811085,0.7622492363305766,0.7061957258208125,0.6961531015726591,0.7434647833926329,0.7561590627518872,0.7810742663223623,0.9164881527791601,1.0634020700448235,0.9350185939026828,0.9411186092924061,0.9460763325050857,0.9727827738634997,0.9996279122601488,0.9935304385691411,1.0025936539816276,0.9834377018067195,1.0408440055192258,1.347837158452432,1.019129696466102,1.0185547059193445,0.9946792676382431,0.8890645358617298,0.9286212510016904,0.8795887288658768,0.8970224749044529,0.8597705429137597,0.8805234166867083,0.8778565533649377,0.8796674292776142,0.8536414945236004,0.7957540427422575,0.8445667085815227,0.7369479620464399,0.8848220078079501,1.1860073552275814,0.9024494166908826,0.729647868322012,0.7626232710539197,0.8003620096914744,0.8356244488392158,0.9004017433416289,0.9117287713151576,0.8897060042237048,0.8935322407606738,0.8832328144124322,0.9486395339849975,1.1697440473155998,1.13187596940402,1.4461100769362119,1.6337710074784333,1.3641817912181458,1.1935041156982862,1.0126570072444543,0.9609165470973351,0.9682444642433721,0.908380734105337,0.8849902542578587,0.8786125624463249,1.0336724187065816,0.8961549911198761,0.907027869456618,1.2509422898152074,0.9199207462487433,0.9465492437786895,0.9509493639582249,0.985096149068603,0.9917963319286909,1.1020090323057818,1.1341323796625904,2.0051373108017563,1.3652562840820102,1.2528053881250294,1.47735101947927,1.2078897469470564,1.265684631213456,1.052478257917243,1.0028963072318404,1.0325758882486553,0.9668576712917843,0.9504465673438895,0.9111277472131258,0.9171224656468773,0.8800671280826108,0.8985052872841846,0.8942459167617874,0.8899285313943837,0.9103145887213007,0.8883361477929368,0.8619961905480127,0.9530101882923192,0.9108935964317301,0.8845212736650228,0.9836042964622274,1.1324773147164096,0.9722139429773841,1.005433533798135,0.9908081503260706,1.1407082624903437,1.0634628008746163,0.9229651589962483,0.9417549529190407,0.9851432697089485,1.61220652775408,1.256061262012537,1.6958911750857437,0.9390308974610269,0.9146516199021921,1.0323973727278248,0.920389002225696,0.947685636469324,0.9080590472784575,0.9794923275437674,0.9979106355788332,1.1703807114490143,1.0222555873127086,1.0343881535532742,1.111537737305384,0.99588860839809,1.1408047327746178,0.9691504934400732,0.9323818497402473,0.9375638691409914,0.9690901253237709,1.054652542974425,1.2709000917329027,1.1036022638723606,1.1096026350997277,0.9999915125904598,1.042540248852133,1.077994409558745,0.9705817893308692,1.1152738626099528,1.1954750990077525,1.0489030529185477,1.0911114210791284,1.2695530055726827,1.421190143027497,1.1286217604858095,1.1339591571059722,1.0071488422744301,0.9905074962858148,0.9336814128855477,0.9040915000998311,0.901551006558059,0.8755201588185768,0.8881784998345907,0.8684348515478064,0.8717813415053915,0.8944079841896136,0.9228211080033333,0.9872835904350438,0.9503235350335618,0.9491209577410835,0.996475864184909,1.3266147053901383,1.063967628070565,1.095108240899675,1.1643644152151413,1.3059510054273205,1.3019928923213548,1.1556904506703072,0.9857768592168518,0.9523961871569819,1.3610546373796986,1.262602292246014,1.2781958813244905,1.2285152477883212,1.0355850153362158,0.993127428281901,0.9394550122842134,1.0299143506953943,0.9613729496968948,0.930904835874882,0.9076879046680935,1.3073547489679913,1.0325566226515612,0.9026205286728969,0.9244126463518827,1.1735233059206116,0.9331754548788672,0.8463983812218858,0.8530909822690876,1.0343203012943682,1.473907071303227,1.8494159122463694],[0.40333522464213956,0.510891338138441,0.6174343428744962,0.48992628090444734,0.6474966864032591,0.5540988107177237,0.5333531639146343,0.5250562489001498,0.4962104105419008,0.4759331433636283,0.4537433363766308,0.5751756789501514,0.5100542768422318,0.4650604932221338,0.49566113524985117,0.5162723568842996,0.5570182826436876,0.508032596522097,0.5233843989666932,0.5636187326846597,0.5135947513621958,0.6562280684352468,0.6560861458953701,0.7362658683736953,0.6927902110220204,0.5762567071185664,0.523216399189058,0.5243840021894557,0.5147337623056318,0.5294073277119985,0.5266800608957076,0.5806637848036419,0.5649293260210593,0.5602783737885194,0.5297823174073392,0.5338075282698725,0.5352542108977381,0.5904632767729241,0.5641654738269759,0.5666411330294858,0.7643957231122283,0.574496942055239,0.6077600796925596,0.8172272209559318,1.826871261578668,2.5563148368683004,2.936146249627337,1.3381444070118935,1.2939831676197453,2.0488158089456956,1.3242719355864445,1.8102878750503406,1.2890921751074969,1.399095526006655,2.8265897126711685,0.994658579888147,1.163059095327136,1.4421877804702539,1.5764449364858535,1.192677913244278,0.9912928022596458,0.8172785909704978,0.6138660891631564,0.6415924791595012,0.5650243728269008,0.5778800717756569,0.7281819106574264,0.5838792343682588,0.6818260384957571,0.6347707585902279,0.8824502570279148,1.0735510037026186,0.7749922936089977,0.828508427912537,0.571845660577971,0.9687711267734427,0.5630671025545775,0.5753224235211133,0.5839081407038035,0.5232608618031369,0.6004254808848651,0.7986598560408272,0.8129920590234146,0.5934733475559024,0.6263190379096628,0.5699790595539548,0.5768614777598848,0.6486784289953474,0.5235832869209968,0.6248833098097231,0.5460631059238452,0.626123374512436,0.6146039636634629,0.5442807978036318,0.5442702984787319,0.5679343029872453,0.6019347855271249,0.5707196407127167,0.5731030066212729,0.7365970521580472,0.5756488782056172,0.7316780389938355,0.5846240817327433,0.6744672743786003,0.7136936442011759,0.7060797846923924,0.9177962379171621,0.8121507792329143,0.8099029338726786,0.8369407581777382,0.7299621426916614,0.6111017974235117,0.5635086280291128,0.5449007436562263,0.5146438904197392,0.5062573299583675,0.5487707940826593,0.514602515213916,0.5103858175064989,0.5418582599205214,0.4961246709112579,0.47614433038649046,0.483310895335995,0.4770538249566388,0.5064513246516399,0.5891137645878112,0.7683190184600486,0.648008911055769,0.6875509663689451,0.6779553919087093,0.6987016839614727,0.7457115614199928,0.7086159175689193,0.714813946224486,0.6889770536379234,0.7754333213783392,1.0387551240011972,0.6529052040634207,0.8577333580913392,0.6786036443011475,0.623954318514934,0.6938507618772167,0.5945555701486896,0.5912305107701308,0.5534740718089378,0.5888602057958441,0.5766491507225876,0.5926656245284616,0.5623769789436339,0.5475265236670009,0.611122248174169,0.5619583567201419,0.7768576849359704,1.1790424289741201,0.8606114408358391,0.5745848562843053,0.5561665688124754,0.589976690620559,0.580301452781948,0.649867373713862,0.5920146764536447,0.5907230459130345,0.5678237756619885,0.5645019232392281,0.6566472441187153,0.882488450682349,0.8636396388736196,1.2502726511721642,1.4658495341014353,1.166597631310073,0.9454873735171296,0.7015142086794658,0.6484460011922835,0.6463625366633763,0.6030897946552352,0.590643070947884,0.5987650163780608,0.7704166754545322,0.5944429005717569,0.6137792787135803,0.9615526825033948,0.6131697704416766,0.6609672053703494,0.6811527457743854,0.6968769647325823,0.7206079905500548,0.8194634132088853,0.8943953017207608,1.702334721458177,1.080178697299064,1.1296535785693451,1.4832741408795136,1.0712542652653272,1.0981243591189005,0.8206523448970255,0.7765975199937852,0.7937492368030898,0.689637282415156,0.6649547757047586,0.6462647742117698,0.6208210250150307,0.599041969974807,0.6026521998022997,0.5966047387708764,0.628161397202682,0.653388433655015,0.6127983244722258,0.6364578117244958,0.7992787958232077,0.7288949799298308,0.7260916102231013,0.9094585961030156,1.0572975774662183,0.901475825451038,0.9933986225367609,0.8919527051967708,1.1117120241376723,0.9316230584920374,0.7689448723488311,0.8435579461476342,0.8624227231320787,1.4875635094933872,1.1384894106974155,1.603711385180675,0.7904113023612326,0.7398708790296579,0.8163978566145821,0.6923867698472392,0.7602351975787631,0.649031179525313,0.7274911025888826,0.7724914014402575,0.9402005156499624,0.766625096095478,0.8186128873146666,0.9275160578592032,0.7994818008264613,0.9568832714424199,0.7208331690543177,0.6503810635027402,0.6466889588346505,0.7157799581867941,0.8469872702526153,1.0957726008842514,0.9081513474994,0.8809066429494268,0.8238181526365165,0.8865886179255279,0.9021667885479098,0.7860097407849049,0.9885720348362605,1.0828762626438402,0.9244753541118658,1.0021765685259516,1.2078725051885626,1.359325588936999,1.0758290316190735,1.0967887697079564,0.9353935935434389,0.8875075565683842,0.7777164208538034,0.7489772585809726,0.7871991106231135,0.7023407521516689,0.6740798349057602,0.6999579988993062,0.700802078359713,0.6580187517601938,0.7213035317264641,0.867847342174334,0.7513579095322341,0.7450571203649488,0.8324491552926979,1.1980491759444336,0.9240323853968087,0.9248952268086864,1.0364826661657396,1.191144291669771,1.2032253273972935,0.9795306911116396,0.7664930107298698,0.6663907417947839,1.1187033475507748,1.085409687622994,1.1524683599931973,1.1079897652803776,0.867208638000086,0.6690173582049376,0.6314974417485455,0.6602196738054575,0.6535758308882231,0.6711085395421524,0.6741196076720012,1.2326690895516865,0.8067958463702992,0.6625109615488693,0.7404070786185737,1.0315071723707854,0.6604715885727952,0.7061229321207784,0.6756614147550816,0.9461375406867906,1.5054096528780088,1.8803255311436484],[0.3445668959305041,0.3004358435326962,0.39146050020956513,0.3606540060635461,0.4494078154341238,0.40688567478325366,0.3751012425452362,0.40833399395825887,0.3746257170953917,0.32567521776381503,0.34444447739213957,0.47727927178044466,0.37364041565665124,0.3460033289606323,0.4184909521596363,0.38409836067386643,0.44562552169446296,0.37623604441198955,0.41294324223206047,0.41111125681175015,0.4135790406037698,0.641830459756437,0.580343987053581,0.697327082719868,0.6289298367183818,0.4991662328391167,0.36317066240795814,0.3396549221383462,0.38497752149139525,0.38443036320119345,0.416341240964705,0.4642382948882935,0.4822325697307989,0.4639355518394005,0.41046051298059405,0.39108398953203466,0.41009041123472373,0.40078325199607273,0.36793399402406063,0.40603209868793716,0.6675844532390763,0.38894102131327446,0.37909578167988417,0.6056276876212914,1.5860791479463945,2.3116541336902006,2.6059279962858484,1.0170484581508803,1.022793739256528,1.7285263740596863,1.0200560508538594,1.7166869451565923,1.103248465652767,1.102648559753318,2.595998398013976,0.9473546692885048,1.1912142816849012,1.2295682643347032,1.4376487836208114,0.9776454981050854,0.8124689480192404,0.6577552987048083,0.5062983148533166,0.5980704800694214,0.4616647999834373,0.4686634493993365,0.6452059327763611,0.4590642977868344,0.5980287232960805,0.564388065020741,0.8548560239190951,1.0878787646405805,0.7507836101559913,0.7698521441588149,0.5030321348074074,1.0139259555277826,0.44225698004575825,0.44180346634442713,0.4409080333751728,0.4365838950697972,0.5136373758152462,0.6149807916211375,0.7621144065745545,0.4838284131729965,0.5984740156307621,0.4372281069814681,0.43274602331702927,0.5497394762909877,0.38610234100308416,0.5144204766938171,0.4293283001471004,0.5846841537960752,0.5229375983086401,0.4636377241375777,0.4562310645286511,0.49446149865443517,0.5432474694196767,0.4798762166644644,0.4772058398753399,0.6903611601034066,0.500365649840174,0.6720180415168596,0.46953645001088085,0.6186585061477784,0.6020455291828616,0.5476799300735473,0.7492526828309806,0.5833722025767698,0.6021342084327265,0.6385998958688328,0.515259200700678,0.4190543700845161,0.3837049144464851,0.38059065983678225,0.33753216204368736,0.34221318431339764,0.40307735497251024,0.3842096904339879,0.4306878285760712,0.42723831839603904,0.40064847056426656,0.3629895196259782,0.34318407970226944,0.296716729683036,0.3339803521133045,0.39079079244797593,0.5226773228740519,0.48392914516855906,0.59007298619018,0.5837245909998349,0.5655670016196197,0.6231362400711336,0.551497966726266,0.6080288728603417,0.5438807769179582,0.6158704485060676,0.9042783463378034,0.4613027493017687,0.9844273886658917,0.48834998327025697,0.5767073377433733,0.5760887063226247,0.40796192703105916,0.39058550128253694,0.3588842145887534,0.38445766408416654,0.3590872164218826,0.41294993763138016,0.38089720006552796,0.424943217564513,0.5134132590358392,0.4786065697096569,0.7409342757153632,1.246769058628141,0.902759395122218,0.5296703084704192,0.449593809483188,0.5084763079330674,0.4068702783933088,0.5276590900589038,0.41433869602916057,0.3998454872229491,0.361766885963385,0.362843890144035,0.49472628124204354,0.7226047640145878,0.7625527452202291,1.1522438396241723,1.4089072032352479,1.1465373335780789,0.881075826783197,0.5670246364151198,0.4960861038040943,0.4496753885540063,0.41944167192448706,0.4271434075479699,0.44162086208907153,0.664329912283759,0.42990520858594505,0.47654155924615,0.6948257730990764,0.4563549051765299,0.5331480546756927,0.5892603852679056,0.5752028736563503,0.5657575972487419,0.629183812015779,0.7407020402821497,1.480284272827872,0.9113673870719673,1.099013598306421,1.5851570419766192,1.0289972185859608,1.0106059129994043,0.7048993555206582,0.6385494552789969,0.6774311988055963,0.5402875827023405,0.5252579177056768,0.5356539866876103,0.4373761674117634,0.4254987178874096,0.41804368863364666,0.4165858006534187,0.46866471774202395,0.4936909350027376,0.5118480533368749,0.523941401716092,0.6912783942749232,0.5981565409883091,0.614778661278711,0.7780893295247109,0.9221377803175206,0.7873094653358151,0.8778818696624646,0.8432970205382759,1.034504477441847,0.9040605062676805,0.6934141577985876,0.7706272283624201,0.7865516688269459,1.6069277562348698,1.0111904934649274,1.4783133095658085,0.6832235651826287,0.6674142168053406,0.7708444929294527,0.6390122583815165,0.6848625141974074,0.5253221848420082,0.5870197888836245,0.6269220694513825,0.7720495432966291,0.6236843451400624,0.7900266104348828,0.7678824498417668,0.7463853378912974,0.8437959991483049,0.5724001437527052,0.5074993733671633,0.5333058730058432,0.6438370943519582,0.7927203788788407,1.045034902741664,0.8767750096469812,0.813899578512671,0.7719560012342536,0.8781930004676634,0.865063781426388,0.7225002533209366,0.957128535260894,1.0658181100960047,0.860333338278451,0.9510987979464562,1.191847048120715,1.3049975433899195,1.0095025848428159,1.0376433158930378,0.8488978879574623,0.8133980525980997,0.692751263526743,0.6687628521270214,0.7129176621242668,0.6041385447569474,0.5603744713491581,0.6016516884032814,0.6058145697361517,0.5468651948045684,0.5927301913252104,0.7977193571705928,0.6734590416354811,0.6653933474370078,0.7415884247973382,1.1017979391975214,0.8682610797243401,0.8722097045795837,0.989884543248642,1.2227812658876522,1.169218440454511,0.9846160794432911,0.7531458166384961,0.6183780108900266,1.1071685623163723,1.052863371362466,1.1341243951349904,1.0872199197673185,0.8309918995938921,0.5611279277833933,0.4862580509242628,0.4594641763516942,0.48574653989975974,0.4956032438352165,0.49188114926227655,1.2847470921590984,0.6120156614788406,0.47196030383354404,0.5992603133719974,0.9644116443717513,0.4388044985081267,0.568597622178857,0.5338123387809905,0.905300977161097,1.6002404091278464,1.9093124764808633],[0.38335606552029927,0.32175148130194464,0.40562075815364307,0.3938148143346864,0.49496906477828967,0.39449967456467666,0.362597774587939,0.4061067442849393,0.38514922177888367,0.32637217011422437,0.33155730626320273,0.44327593561291345,0.3693777003958973,0.3519811629792829,0.4421837222229567,0.3872286958758353,0.4127841435342373,0.41165202785653837,0.4602988172786383,0.4736850279991196,0.5099065384280546,0.7095847953344073,0.646028176073948,0.8364391797210062,0.6351511389639523,0.5687506290616192,0.4359485191235895,0.39029486554008325,0.41934472796945027,0.41029557321990223,0.423022767352287,0.47346337796399757,0.5004136462462656,0.48241501065926057,0.41765103681718735,0.4122255011197076,0.4172237781613272,0.3928528374360934,0.3766241065047363,0.38144666848246495,0.7189242144826035,0.44069555576152136,0.43245805466144016,0.7270948457982481,1.8243555196733023,2.537265971869212,2.8365580498685175,1.1895290520715922,1.1181787531216616,1.8655885565235646,1.073637231866279,1.661877586803856,1.079026739622691,1.1864629437532863,2.4982299601586657,0.9590667373341895,1.2099775173659744,1.2453994943278837,1.4008385419421021,1.0021639875373825,0.8542390254483453,0.6503947719732279,0.5421057061197166,0.6975153856213919,0.5114905047688529,0.5102348249348393,0.6960125195360894,0.48583067164289456,0.6427852704678001,0.5847310865589453,0.8657887176964503,1.1134524321383483,0.7590261452399357,0.8351126380226591,0.5324748308656392,1.1060633240211435,0.4710320835574783,0.4556321949470141,0.4476712429770208,0.4716898132622858,0.49873755694418676,0.5764697580687527,0.8091880142390867,0.47980375830024985,0.6302651873311834,0.44192893892801255,0.4380080172192749,0.5398328279927095,0.4184672647908577,0.5151451125476869,0.46028067215655355,0.6408661967828054,0.5474824937502578,0.4815045255972076,0.4718176314827328,0.5250037678233446,0.5565779335261265,0.48769880458228226,0.48546240729374107,0.734482747131897,0.5087660117451958,0.6890043961999665,0.46350632950261683,0.6059863423711633,0.5931997145079232,0.5571914963167918,0.7354259483582833,0.6050704089748737,0.6218739003231437,0.6368041386417033,0.5033355282242692,0.4096539864424765,0.37857593694883285,0.38537821769345926,0.34935695854606114,0.3476693746196534,0.45557387020673396,0.41886059149360666,0.46483932547665857,0.423084775295731,0.43062442017701913,0.3756117958961768,0.3803145648907474,0.320884037508612,0.3528379471144802,0.405119694141962,0.5163630816524094,0.46689511583430104,0.5373356193628552,0.5423969600020666,0.5554356565342562,0.5892036713621321,0.5267346422947586,0.5819507689543638,0.525753895823202,0.597928840019218,0.9532079636792486,0.46621599128301655,0.982910061429524,0.46679927357353357,0.4995484158501297,0.5782839122362151,0.4600628962261954,0.39342983530465486,0.36664462583124563,0.3979644625447046,0.35357563066286357,0.42778325755702284,0.3769306053733568,0.4263927344760618,0.5201070620952339,0.5047522829191385,0.7768224827719534,1.3639669794327938,0.9994628239236228,0.5726165353043394,0.4559983068447659,0.5212209095411633,0.4107865315943457,0.5074557417470075,0.4250988281128311,0.3937601591690681,0.3604401016051655,0.3640181877637589,0.47069751873305843,0.6766630445007564,0.6976013316489493,1.060350939478575,1.3117814456399515,1.0660951379908479,0.7924991718036677,0.5264031536196199,0.48052914190672813,0.4335436412733201,0.41931210482311376,0.4233592848250142,0.45016792466655686,0.6464784059219413,0.443054392302132,0.47289210866072695,0.6639188785797676,0.4368554120168346,0.4937656248872726,0.5378569611421021,0.524222032321705,0.5550814929949578,0.6389428580506551,0.7787892042201308,1.5164668951595854,0.9864782631547513,1.160092045752544,1.6375579261932314,1.0540823378738202,1.0424947694757192,0.709391431303176,0.6590040442013374,0.6910112342975606,0.5425936979618253,0.5192819746702837,0.5267208210176769,0.41995336664230826,0.419451356983391,0.4166794098019115,0.40410097249519855,0.46047701283999115,0.48707373472146737,0.49524050086364724,0.5104774785894897,0.7049705650524692,0.5937719329763786,0.6164031234860139,0.8136073007667429,0.9394082704220277,0.7822596400750884,0.9037779215683115,0.837580773315244,1.0753670198345286,0.9009157676970564,0.7019343209846536,0.8024278165716594,0.8160843111302839,1.581214417722157,1.0576195253211471,1.5093732554536137,0.6974574704629012,0.6713543851302642,0.7652827324522407,0.636995430966749,0.6849915151751192,0.5168986179599685,0.5719583847539407,0.6233055764760433,0.7832555824118598,0.6048988029358069,0.7718834316175033,0.8013621047219622,0.7342884472413929,0.892319907358416,0.5728117887981782,0.4867773617581673,0.5037944399479485,0.6205819118978027,0.7853986710862466,1.0498472132110823,0.8841986079150669,0.804246035882573,0.7847213802485117,0.9120320226846128,0.8717200045776483,0.7331198990800738,0.9991340923917618,1.110491731218221,0.8817984572799247,0.999852577043975,1.2662675899813984,1.347120028909609,1.0614261304149668,1.1175526055144787,0.9022917966477394,0.8598932396887241,0.7173963681082544,0.6939869157379878,0.7439982211032227,0.6159454161241964,0.5646348867166084,0.6124872371743426,0.6148889797776098,0.5289369971820103,0.5893375488699041,0.7978166279694684,0.6641171996939164,0.6648930451988048,0.7450991504283719,1.141745730769688,0.8825521681776646,0.8728496172046002,1.0151154277536736,1.2138564088567425,1.1691228060597294,0.9460708334307387,0.7161058695962129,0.5751493026769939,1.0137695456427196,1.015424490556028,1.125989210789076,1.09045290511859,0.8176166275939811,0.5513867760624744,0.4787103936887479,0.4597658657728679,0.49561131004147135,0.49317838571245937,0.48769646373243375,1.3796687047948895,0.591348463008366,0.4696083261304338,0.5886396813245917,0.9636221743582133,0.4177607792759457,0.5139313942462862,0.5120357455597369,0.9286848389287651,1.8345196540560769,2.242103690478751],[0.3877829542880726,0.3224517729292454,0.4028707888367333,0.39717897651686446,0.4976835789484986,0.36173414799980486,0.3258679595678955,0.37663036569506464,0.3711175725448049,0.32329095050055284,0.33445690422291485,0.43750438372459116,0.35049757842274987,0.3558079776826725,0.43376731584738093,0.39178769507549444,0.41260871570882546,0.42417119471895487,0.49243664628609474,0.48826125708563817,0.5253249301163652,0.7007321283267146,0.685407644659873,0.9062859744038853,0.633473417960462,0.5939473872187356,0.4534486134777745,0.4025501184180726,0.405350033889897,0.40221225981221603,0.43458631817525034,0.46576961001043743,0.5032182918841862,0.49319430562863,0.41683754968838643,0.4180958986970836,0.39437484029304,0.39911267974444975,0.39486716413542455,0.38598471507619286,0.7216735671948608,0.4918103433551445,0.4875547227589942,0.8546704986497625,2.0219684958317297,2.725923980482386,3.017198530347367,1.350120948734975,1.2313488690200483,2.0086018318820695,1.1742149328848195,1.6614602367682016,1.128282329213318,1.2918732386647114,2.428117249428139,0.9511581633001045,1.204318194404122,1.296447458695037,1.3918642478512058,1.0379895964072636,0.9304177006945465,0.662205212910809,0.5481411036930837,0.7243062084297548,0.5322939420534079,0.5321744889295902,0.7256880406380983,0.49240733043848955,0.675380594632193,0.5963235294692925,0.8711672051906255,1.1296383825638183,0.7606323903172454,0.8972168362701193,0.5445989073532841,1.153399626488095,0.48953356160293027,0.4644896091067846,0.4515650135016777,0.47627891767399155,0.48261551728042196,0.5394114308570708,0.8409941651513468,0.4736507905794239,0.5827997891857448,0.4081503161515298,0.4243405866244568,0.5254620549804283,0.41961980944089744,0.507255614937114,0.47571982375951777,0.6498964784076685,0.5683931219768229,0.5110665038395923,0.49500175525661544,0.550806672331525,0.5431251754852702,0.4966419816911174,0.4836721577384932,0.7458606307704642,0.4874481835725631,0.6648414263752253,0.44211554751968035,0.5772852286609504,0.5660061430748151,0.5435521476861936,0.7132326858855428,0.6123020434704707,0.62649204308034,0.6180348964670414,0.4961524470718283,0.38397282588394566,0.35318021176192815,0.36474440820236276,0.34648017150027527,0.3522549339565482,0.4484621838907431,0.4371131775425886,0.5066285927089698,0.4756407566174434,0.47513179013037643,0.3896130004014729,0.39649788657123053,0.3205088701774687,0.34983983131585616,0.4083470398787526,0.4863851973806989,0.4280629629771693,0.4613755440455099,0.49279948318225714,0.5202120360931942,0.5393063682241226,0.5040748973219538,0.561971600867201,0.5164657521716806,0.6021327314321283,0.9799939378883484,0.46585720753185744,0.9805884253008011,0.56304811738988,0.4794335582025434,0.5939631154724154,0.5266439901258047,0.43297252214706616,0.3939156932332736,0.41667803455467856,0.3748974209430721,0.40397924291998283,0.3586722006288565,0.42130501210293275,0.505264874816724,0.5148503262878793,0.806882953997056,1.4386585936105951,1.0588197707551232,0.5813783333069845,0.4411054283954325,0.5054539446138323,0.411312417561519,0.4822319424562441,0.4329111500971803,0.38935143102566067,0.3915806656191714,0.3544961797765845,0.45841624487759336,0.6698096700014082,0.6694471132484137,1.016949139980736,1.2604634843805982,1.04558932471389,0.7578760708541157,0.5425049100471039,0.4764817524571099,0.4336695999200156,0.4082524760014615,0.42577192163152133,0.436334051778758,0.629522336211729,0.43993915131259,0.45156978523923713,0.7432068566700188,0.4230865758603194,0.4649314087546705,0.509430162299056,0.4960314956251107,0.5497480740849064,0.6693406432826489,0.7909778866636141,1.53869666747728,1.002885094711483,1.1570529188343506,1.683941882109641,1.0724523541116642,1.046279704613904,0.7131044812385978,0.651221218560071,0.6774654625640786,0.5267336024389119,0.4974987471721255,0.4793182729143094,0.39267935454013475,0.3863663240114396,0.37680796512734716,0.3741736335035819,0.45354675076384965,0.4783954990074763,0.46986475726804916,0.5106416554581679,0.7052850703845516,0.6043068151158114,0.6318830766538313,0.8195728264127028,0.9300000646049398,0.804488386117465,0.9219850709207872,0.8614979977806798,1.0848516745455148,0.90529615047019,0.709703395972751,0.8112450349177037,0.8175488462612521,1.5754709945055385,1.0591365215442068,1.5294609489000264,0.6925108451114694,0.6631509102213996,0.753818729144436,0.6252181770232658,0.6732754961738519,0.5074047598202086,0.571779180683884,0.6245199122350416,0.7839823862957286,0.6024414954602363,0.7865309962596212,0.8099991603669908,0.7354019286246579,0.8923641715942897,0.5446358839533914,0.4819725742961858,0.49753234851803146,0.6103418677980755,0.7892142328756447,1.0140428906750827,0.8776519672986941,0.7914411004459843,0.7679007260401688,0.9068934660567818,0.8541145258636795,0.7198429723311512,0.9872733282073473,1.095329733063803,0.865296673278911,0.9895822162466135,1.2562426681448264,1.3168331126876784,1.0533447466162524,1.1138662363658183,0.9007887274664774,0.8582442699634597,0.7116403815925326,0.6944650237204467,0.7495863127044393,0.6200982797954881,0.568126418056039,0.6081386284199313,0.6148439131752024,0.5227838826659081,0.5851455766559877,0.7965653234853288,0.6660177672951924,0.666938278503809,0.7464722213342233,1.174021615729149,0.8928969649619494,0.8614916690286197,1.0093682313618573,1.1948605115371063,1.1567478563011195,0.9137099573981209,0.7060250263207557,0.5602588075430393,0.9304989270011201,0.9406311257533478,1.0707972089430913,1.0431614542594054,0.7645719609668165,0.5182379733780549,0.43526896067928456,0.4441330980598827,0.4536926000114134,0.45588644488956964,0.48558918620571734,1.4662209229910126,0.5544535180370229,0.45816203412576006,0.5766993883372912,0.95872013298788,0.39186632242987285,0.49619319342119467,0.5599419353492607,1.0464625124324194,1.9824656967334484,2.460811210026396],[0.4316609532590437,0.32247632644741725,0.40761510774908877,0.36640186384836565,0.4504367496460842,0.3239317499155049,0.27555991367093274,0.35530465264106725,0.33732714237222894,0.3157428193729738,0.3301606575337777,0.434407407261317,0.33799681369445855,0.3588416934309343,0.4554896333170841,0.40878375772877984,0.4172510911143996,0.4465800094504884,0.5117141052528749,0.5003300540373034,0.5441853085267461,0.6920108577577984,0.6889494943847869,0.9271162060014102,0.6223425797984113,0.5972015721025893,0.4743762340887851,0.4192298861529101,0.4222853265409214,0.4157634135303603,0.4603879380270091,0.47325879011781985,0.5210013801068668,0.5050215409313009,0.4341048422918695,0.44416940797812304,0.3995650280304818,0.4177408813300474,0.4046265299559863,0.38581887412770083,0.7159879893150232,0.5165201566834411,0.5140852098810443,0.9013643172590985,2.0933758492815064,2.79606536760146,3.0533749183685783,1.3834011670507835,1.2484362471996402,2.0245644282090938,1.1875235969116038,1.638388053898975,1.1525040137235565,1.2973144440869187,2.297294044611476,0.948812985025266,1.2234247046560864,1.254841415434898,1.3315083759235946,1.0288284655171578,0.9481908535616842,0.6625167674971422,0.5676139534514691,0.7846314821653908,0.5696750019655098,0.5417667301738018,0.7683447232002323,0.5278620590683486,0.7010784187508676,0.6223532852435928,0.8707713003788383,1.1620221575701482,0.7862448720569966,0.9500929396379814,0.5712118703468535,1.2100775544361282,0.524333629369987,0.49498464105110934,0.46854116234217696,0.4923990158173828,0.47789455700749417,0.5041881329412679,0.8640938794735595,0.4542648217190436,0.5794633970272813,0.40302776580648614,0.43007095491436903,0.5289823302675143,0.4459998396991069,0.5159070235759935,0.5150512034632014,0.6769863737070683,0.5915868534863596,0.5339209990222004,0.5105961824368674,0.5705965035961756,0.5493986666737921,0.511140078618223,0.493913670807816,0.7724788804617589,0.48361373013457,0.6391066235026243,0.43039446850494306,0.5569454850443712,0.5154960982748746,0.5263569040084484,0.6816689294299275,0.5819755194886584,0.5976788945965876,0.590300224300513,0.45181613828937445,0.3284335772417758,0.30733663859863675,0.3290805824158317,0.3388660722753199,0.33165396706954314,0.43400786880614706,0.42232696720980145,0.5305274379269713,0.46684544233777303,0.45878149136611523,0.3859531475649604,0.37091837331596245,0.28701439161094217,0.3127552572377038,0.3379176588955773,0.412624056596031,0.37143689230202853,0.3680687363987833,0.43578265504256813,0.45814725131786294,0.4700039224636401,0.44165170812900156,0.5296644014087601,0.4680119236434401,0.5547536203031129,0.9642991469232819,0.4374299070680982,1.017941922346476,0.5605327571268857,0.44954067338058223,0.6063186825755746,0.5489148384234608,0.4339398109930968,0.3913152322406608,0.4211834567875036,0.3611388380032217,0.38781804904850464,0.347373833664207,0.4106529026741391,0.48183275224195476,0.5271383712140935,0.8133877861675909,1.5169855320528876,1.1146787359860346,0.6090860022126937,0.44212529600402767,0.4935576081457477,0.39767231758468097,0.46534387774386915,0.42797157973175065,0.3714234357455751,0.3766093839493341,0.3379027451402171,0.43620815236559374,0.6501998588364325,0.6230494919902629,0.9423901618573622,1.196306031146536,1.0111741997253882,0.7250650290730095,0.5206229516621851,0.44525991396501735,0.40505241785645557,0.3896385155750625,0.4069717343129958,0.42809820364872975,0.6123820696911402,0.43483475880736855,0.42470109743629597,0.7389148594614705,0.3799985468069768,0.3990872304987433,0.4457275841596665,0.4598537657221276,0.5558554481382828,0.6749206804156757,0.793088957344257,1.488035833871327,0.9615276970999695,1.1379402099362688,1.7364766487422651,1.0441718567026377,1.0174270729385546,0.6756755125761567,0.6165631151090907,0.6425627082918077,0.48822253421306755,0.4521629910392852,0.4526370675703849,0.3604604500261638,0.3799276270152908,0.3485751079013324,0.3480499801239638,0.4425461997703028,0.47427338804645575,0.4580216883863776,0.5018329586321689,0.7011687379169591,0.6077339724796547,0.6288403251734793,0.8041599785288984,0.9085220837072824,0.8042971377521397,0.9091275780916296,0.8524185812067969,1.0706418677591614,0.8853074725557116,0.6840202140636519,0.792497724568741,0.7903737773559928,1.6060292211671099,1.0180735673513517,1.5289263735859067,0.6825085283750463,0.6591137814638474,0.740964788396654,0.6325151912933532,0.6505621907534666,0.4788463350830843,0.5372487858860681,0.577984678965427,0.730836923508217,0.5400728042729305,0.7675934934396604,0.7592607614579856,0.6837679527739109,0.8698161966094548,0.4938196548585056,0.4697332907572877,0.4751510773948501,0.6106458711303223,0.8211704501562427,1.02390619452537,0.9251224464265686,0.8168229770470544,0.7928771808723538,0.9555257653800069,0.894694851595857,0.7303890339494514,0.9983876309284511,1.1056521949475868,0.8685471363121487,0.9821826889728363,1.2516661948612258,1.2904239326281741,1.0367283122334503,1.0997510193455138,0.8863572033327214,0.8482338853776015,0.7049889162981126,0.6874051481630821,0.730023799757923,0.6055543424761927,0.5564258768825118,0.5814296234303379,0.5910577875056149,0.49888510813677134,0.5628325674746392,0.771747672378446,0.6445279069692573,0.633485672761847,0.7105761707069653,1.1590994002868267,0.8824722263627699,0.8383047697394358,0.9874767637001722,1.1852215984563668,1.1279229660162502,0.8848281430139829,0.6821284511140894,0.5394830677259237,0.8751329039096462,0.8824889068887501,1.0139692640675422,1.0186682481446296,0.7278920239891191,0.46637850363895017,0.3880802143646992,0.406428478344446,0.4145415055307296,0.4228218021315264,0.4800748295690874,1.5208340759556935,0.5055767801032653,0.45889581754570363,0.5666876550349176,0.9309201637645762,0.38202560484562365,0.4885657013451511,0.6094667088770744,1.1241027866209417,2.083208854614725,2.5956967555107164],[0.4156379842202196,0.3552787308995148,0.4277967056104382,0.37368056081224893,0.41780015912418955,0.31755352508592327,0.2913239375558219,0.34564359209786627,0.3502982176226785,0.34550290447816623,0.36240918559314755,0.44103612766966105,0.37001583075538863,0.39502836107988615,0.48873911347001636,0.4475727142516907,0.44085445357192304,0.48829748568133086,0.5575790284440569,0.5262190579677767,0.5870305293278,0.7328548978671707,0.7330898878976032,0.9971916286613692,0.6425223671282171,0.6225281382056279,0.5000469831224268,0.44883901268836623,0.441934744884194,0.45585104540586385,0.4978280538281645,0.4826294927207489,0.5503001196226311,0.5430757167104858,0.4613021713418017,0.4776074077923934,0.42382556861234744,0.4545782781744244,0.4434947914446697,0.4336358542913118,0.6921343284337388,0.5557499967763788,0.5591710709845655,1.0352432989396718,2.2610614563791303,2.950308330869734,3.241329791577338,1.566209351608564,1.3597114666713594,2.168246885439753,1.347810485323686,1.6956604356133262,1.2872832014270537,1.488194857645643,2.247547147330445,0.9889782647469044,1.188658341921205,1.3530429477199997,1.3137245209249404,1.128780827463018,1.0052136855850098,0.6860641596529464,0.618453997508105,0.8526018229720074,0.6224338953937514,0.5992099000737217,0.8023965106381498,0.5404489703484033,0.7229299442341922,0.6559270633655894,0.8665574279086276,1.1465272531067294,0.8112223117843111,1.0080427561893648,0.6061083396282773,1.2708962224597602,0.5562403420771687,0.5286837587418498,0.5082975967282626,0.5369656814026083,0.5111227339169033,0.5255872359416438,0.8920104533371825,0.494148403619325,0.6093236786567481,0.43739223607040406,0.45634990429215055,0.5530345431335024,0.4861810177202275,0.5393056407885182,0.5560526260900455,0.7261686716944546,0.6268868068638869,0.5772301556857322,0.5419981784583345,0.6134685260953823,0.5659622074705237,0.5392281999750107,0.5075791704364563,0.7464993327430411,0.4845108833412366,0.6101441568110848,0.4239832036884696,0.5491118155413045,0.5106342640775294,0.5275470314465794,0.6441397493672052,0.5997189354873774,0.5994664953212199,0.6222295644123834,0.44892586952644775,0.3502579283406298,0.32335464582502266,0.3589838350576288,0.37375955576417036,0.3731128024440807,0.44723457778938747,0.47939750395072717,0.6067674786686443,0.5169257697252339,0.5143998660402496,0.44332325739667333,0.4225461228825385,0.3498793395752123,0.35904615695983283,0.3760392573330519,0.4148769628366529,0.4029099301190812,0.3992783546828966,0.46950049233628355,0.510570315878581,0.5016207085597394,0.5057807889126986,0.5203459168595841,0.5129585819240958,0.5923461077383138,0.8988160849058258,0.4912713556013338,1.0946467525022823,0.6355035961458141,0.5276151116340391,0.7071784897643706,0.594600228852003,0.4739980095913671,0.43327704372243786,0.4400858029881285,0.37862612815557706,0.4093798235198715,0.37269520458429456,0.4197897213845777,0.46621776649210167,0.5290334822740284,0.7769800572334001,1.5151696713790634,1.127015258174487,0.6111012840820005,0.46149356277980946,0.49271823293731765,0.41211829739867545,0.47912443990540765,0.46676801359742576,0.4102580882422369,0.43770840747310036,0.391738649896618,0.4910397815487222,0.7072012449224728,0.6681596489138361,0.9713862361675443,1.2110837033637956,1.0399179185834526,0.756231089131164,0.5765398245480445,0.5053225627033093,0.4630665399108874,0.42014656860442773,0.4311795509891628,0.4392830869650821,0.6033798055815617,0.4624697050043648,0.4332006079351546,0.8037620436948635,0.416618244032925,0.4586265564191323,0.48965954638559656,0.51519536973511,0.6183496250847066,0.7285702861302084,0.8460893550610692,1.4946810220648796,1.0243467854128978,1.267837383038868,1.8957918833382725,1.133638099619368,1.0973677191129172,0.7620116085376698,0.6922779265431468,0.6936450902025729,0.5639890461144316,0.5101960873066094,0.5081139147341066,0.3916819483962962,0.36997124626304184,0.3603666361576836,0.3861527299837255,0.44375181266053765,0.47774327094441993,0.4795647100013362,0.5292351978138966,0.691869581861465,0.6357346818087611,0.6727106369983287,0.8243787491778966,0.9268557040502249,0.8604256381168534,0.9675398285349583,0.9328976007731843,1.1018419037867928,0.9445848647907151,0.7286439699754694,0.8158055638813678,0.8059557023575448,1.5519187515321082,1.0304591172936368,1.5509922020237976,0.6904960460147861,0.6323561380471237,0.6967852169182889,0.5909379048694706,0.620227957499841,0.46941708411775274,0.5341368134384016,0.6197391320887784,0.762542911630073,0.5753691563281861,0.8166749524643314,0.8048544935174026,0.7281316342193027,0.9235877272799169,0.5453026493548806,0.5151089504929471,0.48410210654908825,0.5957514757496999,0.7949267622579541,0.9371077987941409,0.8760428930081795,0.7691038258436784,0.7445381771832555,0.9078902971553537,0.8413831430288474,0.6847715533553993,0.9501121835420685,1.0633431795691572,0.8437723025743331,0.9439574589846642,1.2139565964955696,1.26147057782124,1.0205199988080784,1.071391479022774,0.8662220119270997,0.8123566980836645,0.6597177074952894,0.6525418298151104,0.716773947416917,0.6002010637923868,0.5471944000969616,0.5960804336685851,0.6199363717058897,0.5373466266794031,0.6037179459488626,0.8372887515919704,0.7063395823331813,0.6873296443730698,0.7867350358774599,1.2185709632684318,0.961455556155974,0.9006432031390069,1.0776017670520135,1.2650921982328374,1.1613230235543421,0.9365112407293686,0.7436943127118636,0.5957742913896589,0.8710373707180471,0.8811552327421646,1.0325413082912798,1.0653408221791136,0.7549167095621471,0.5099955809211575,0.44259518172830564,0.401512712777023,0.3823197814141236,0.42453383924982224,0.4909857257287219,1.5570634431724368,0.5272830247886441,0.4642447355199533,0.572905153559436,0.941170051106359,0.38979734909164654,0.5244657864892653,0.6439271574859309,1.1623812811773055,2.111209246615117,2.6957506196282837],[0.48932248919222626,0.3942355693806437,0.4654328268043467,0.3908990447871851,0.42310459406925444,0.3426286090554806,0.31597405428524794,0.39902356156559765,0.39479557180966,0.377016967816329,0.3887800586769422,0.4710572452210521,0.39328236803076183,0.41594505425325135,0.5223450206742313,0.4883820320077992,0.48278040845050046,0.5366815930802319,0.5884506334522076,0.5783197255913728,0.605782719656673,0.6999186238843889,0.7388185365754942,0.9559695863947406,0.6471033540218957,0.638478323424435,0.5455205850874911,0.49326686535087894,0.496697747836259,0.4933019154777857,0.5443104908285074,0.5207810318937149,0.6109261890661372,0.5864274222122229,0.5117023672917674,0.524045411355537,0.473022882753946,0.5106997726568946,0.49366915560305447,0.4770779238310869,0.7181302976506437,0.6044042228461955,0.5828212504635123,0.9993990536123538,2.1921279057846306,2.8809363209543513,3.0587469160952754,1.420868413628657,1.2949872376962468,2.0312144062415656,1.228142050882243,1.682330078571978,1.2523671442138347,1.3590728053712935,2.130687615910104,1.0106126907011128,1.2609523745083748,1.2599674779747316,1.2935918846177268,1.0866277639779618,1.030129548172385,0.7266332318413715,0.6573436313571719,0.8944825449075097,0.6748123866648125,0.6318276067714741,0.8465577536143214,0.6013448980147313,0.7486804169181079,0.6733025284633456,0.8980781610854675,1.1905810473449145,0.8345272490022746,1.0298954190513439,0.6380431370907498,1.283024171520501,0.6012519118280248,0.5745499256808729,0.5487244863359807,0.5729526227344817,0.5466560334537545,0.5329284846146702,0.9584278852050239,0.5355429977936289,0.6299823345701415,0.4791299984145066,0.4926190789097457,0.5777950723986398,0.5311162003755286,0.5843211102702738,0.5994382999331609,0.7486685390815202,0.6653268910040312,0.625342023114487,0.5856887584489499,0.6502206906339036,0.6000178730992629,0.5882087641210504,0.5557433375425418,0.8091314702951444,0.5313800070547551,0.6324076018780145,0.4697557390845414,0.5725146558477192,0.5240994081601329,0.5579772827366785,0.6655676471488193,0.5869279654739205,0.5838157045446843,0.6317040603070669,0.44632136677762524,0.3643264626388938,0.3480883561653545,0.38318325689004185,0.40937655257351624,0.3975587379212769,0.4819616240843424,0.4895111670845685,0.6329925031103857,0.5563381876683565,0.5288895174031432,0.46780998762362513,0.44028424466889743,0.3695941930436531,0.38132351412885557,0.37652171869299156,0.37885480056381643,0.3833141762518506,0.3695046060656532,0.47323759754934136,0.4765656169643978,0.4776974542382882,0.4957060198958809,0.5398719441554305,0.5199703034043117,0.592855444866609,0.9500125186868941,0.5053859909698364,1.1470183062103474,0.6349178151653916,0.5252767658195602,0.7344578649561345,0.6491149978428185,0.5111138706383554,0.46750291143696343,0.48125476231926906,0.4221302588175961,0.4573487706179866,0.4279172832843001,0.44380095850814244,0.49280915338551956,0.5935279595347736,0.8468395973818342,1.6189804958068807,1.1963500069077215,0.6768415380438577,0.5018924989500587,0.529741866037501,0.4499684469259085,0.5081854076893204,0.5048407744104136,0.44764941258925933,0.4728488158736094,0.4270613732994117,0.4982469713266176,0.6914715094384578,0.6577735398622769,0.9129953108976431,1.1657237567081664,1.054478892526106,0.758337430700111,0.5971401125238498,0.5080236912471123,0.4853984645323228,0.46087252958931824,0.47031601050589655,0.48239210012005684,0.6304738564227336,0.5108588984672098,0.4783231085384712,0.803838285896485,0.44227743772430295,0.4575442253831087,0.473713708543406,0.5108436113892553,0.6270420970028338,0.7276890282802566,0.8298231718708843,1.4517789687459712,0.9484564615915136,1.1675761602651846,1.8668239156109792,1.0839711046327214,1.0322451512912787,0.7124287299745472,0.6442603759689033,0.6857497489676284,0.5164016011310713,0.4521606510705043,0.4714142808624276,0.38440782151453345,0.4172455461562934,0.3704575861083618,0.37998517269495813,0.4734808114245423,0.5140381418256438,0.5025633582829522,0.5417211148432248,0.718995294844891,0.657618175408747,0.6802731308649381,0.8053901078379189,0.8966862166577229,0.8709707813622033,0.9281318472532186,0.9164197029724399,1.0699469628886749,0.9105010739878516,0.6925559826685288,0.7896654753996795,0.7822931751187584,1.6866705342805592,0.9988372261916312,1.536285443330558,0.6985536634160483,0.682567057138995,0.7427440925774241,0.6519952998336885,0.653186708540013,0.4780810946857831,0.5390780609436294,0.569190398368024,0.6795247822611719,0.5070639647367615,0.8145834444810452,0.7122355927076564,0.6721006236936308,0.8746787272006072,0.48174141601747617,0.5190103129064018,0.5176546310345413,0.642228531613607,0.8677285766004041,1.0051365278284314,0.9754359055577604,0.8367571671822525,0.8222105979338403,1.0017795267614202,0.9246234599112623,0.7507989459010012,1.0059771454195665,1.113595640473547,0.8823731500439743,0.978145823054897,1.2451532778607959,1.2515761539217878,1.0171344112234797,1.0660852457254704,0.8660915363449121,0.8320448050558065,0.7086657230468336,0.6839710672661559,0.719455811747718,0.6131759039545618,0.5659675203404647,0.5776250792774346,0.5921504494699964,0.5241569870618566,0.575084569777794,0.7611827236078454,0.665020857159812,0.6447802158208076,0.7100867431221388,1.1669795148342392,0.9158817142205768,0.8618961450457251,1.0245293102832722,1.2582629904328446,1.119280482346062,0.9219484612680114,0.746801199654613,0.6103435440426523,0.8954808666157733,0.8562825699230349,0.977054892903478,1.0266003402903732,0.7146085561941555,0.4883220816026382,0.40541285300099394,0.4301303172992759,0.40297456366779355,0.41926942626356195,0.51952437901313,1.6095176599522993,0.48284574109096995,0.5127919206253913,0.6056527221033141,0.8903950928576635,0.4655569612219081,0.5947987804146938,0.8015702833689129,1.3079966850611344,2.18542735843841,2.858366819062262],[0.47039029490985085,0.43434195334163533,0.5368184616400965,0.506205628411938,0.5252299809724033,0.41994657933462637,0.4371246820342312,0.5134330006514529,0.5336554291866759,0.5752351123026734,0.5940305340731858,0.632465374374767,0.6094787444259043,0.6311726024894747,0.7104430710190395,0.6841416106786156,0.6851450995979205,0.7423204421314556,0.7907863154386657,0.7793665203049019,0.8171819433664016,0.899044706127427,0.901699436969565,1.1917261165506392,0.8419708169516001,0.8335058363765824,0.7225319077650235,0.6854823546479258,0.6833612066197404,0.6760761167882083,0.7510185130569865,0.691934814007089,0.8154091957028168,0.8125379903907629,0.714270457923542,0.7318693221443865,0.6498208498678718,0.7060700969277105,0.6834381183933221,0.6773814242254789,0.8328892359775215,0.7925789182021775,0.7963859110329123,1.249974800670911,2.4406602948155327,3.1051847529181344,3.3563858490166756,1.7382130950765444,1.504934027147468,2.282246250596016,1.4967890484413844,1.8142255198331343,1.4775210235798084,1.6182272803228228,2.1718063620850727,1.1602500922181693,1.2904308856392128,1.399354069454507,1.3743028038071332,1.2589476200135008,1.2074058442205002,0.9203529073444067,0.8705124921504486,1.0569229249605572,0.866506305285641,0.833506397311402,1.0123411851042818,0.7809498193567681,0.956287338229534,0.8658958103064184,1.0388554093802325,1.2802941138386128,0.9970255268719888,1.238717632726301,0.8528276558981194,1.3945558284217117,0.8195109688421228,0.8060659402158369,0.7752264612472177,0.7714431143622513,0.7344036754937685,0.7112566697334286,1.03248603865305,0.6920546710881984,0.7404238179772629,0.6412737216931339,0.6792800396236023,0.7550015929142456,0.7418731736605679,0.8085814631013529,0.823527401660479,0.9667913893509611,0.8865886933000372,0.8645041808493055,0.8132065038682313,0.8958051120298004,0.8083412903504732,0.7830142529513958,0.7313885090883692,0.932943656815077,0.6956669497432773,0.7510964149701524,0.6301395141619263,0.6702586041822728,0.64202223590459,0.6582067880338653,0.7453334589608451,0.7013746467467702,0.6818374891439648,0.7172979164954204,0.5597145323809725,0.513075661520746,0.49776159338995485,0.5534830079062932,0.5925992066935298,0.6104135798313175,0.6729876483326567,0.7303127597746101,0.8613412366469737,0.7559624703275771,0.7375106658734978,0.6925266557998011,0.667029080154497,0.5906512019857619,0.5498179660817181,0.5397454041739463,0.5103450500220014,0.5492449825216753,0.5101285357979953,0.5970282043532092,0.5910372482518897,0.57982798462677,0.6367125777177866,0.6432201125899528,0.6643916279952065,0.7414616345959736,0.9679110493571,0.6591195393609421,1.2097513302324845,0.8638273021414442,0.7836673537330336,0.9516102054632711,0.8185271811074727,0.7229965462343068,0.6729492694327743,0.6638284474164865,0.6177606570154847,0.6096412484206116,0.586118044419932,0.6062583046097014,0.6041167581788165,0.6790397250536886,0.9135671022689551,1.6203704246856971,1.2460265240617843,0.7805876940416736,0.663704560352779,0.6624464620723497,0.6156236936712978,0.6254176906020938,0.6342934072043085,0.6190396496464631,0.6682134586934709,0.6055553750531426,0.6768830790903415,0.8622037634839751,0.8185000375644048,1.0902745356698063,1.2805372339017882,1.1617528892628313,0.8774366876311539,0.7546521694294869,0.6667631320374522,0.65419571765573,0.6357522979834715,0.6122617345148242,0.6421495797770722,0.732616803170263,0.6891806430470288,0.6197038386204954,0.9762531103868002,0.5842085850420552,0.6056614005752379,0.6222778879126681,0.6699376570679539,0.7846970865613613,0.8929496344788614,0.9919047467379835,1.5306577513652313,1.115436181776358,1.3547656190577866,1.9943935992579422,1.211853264703298,1.1422848630475981,0.8311766003814356,0.7773695652054692,0.7683038977798543,0.6305551970156701,0.5910862075163662,0.5518780116267986,0.4921566607127595,0.46438781577727845,0.4506255492653002,0.47166636595688943,0.5327554282436615,0.5612280502394793,0.5518442963817148,0.6073710734752051,0.744575655595903,0.6903725736317472,0.7246412751327083,0.8528615189396894,0.9421648056351364,0.8931168046978798,0.9890154370027608,0.9907559932197928,1.1238945013816588,1.0287532755086808,0.7989554707464597,0.8676566528709369,0.8703796140744643,1.6284562894132582,1.0948556772934492,1.5832357924412044,0.7292396335292627,0.6859038384123162,0.7662660627397334,0.6758806856327338,0.6702806419524748,0.5574572569657033,0.6420413712828836,0.7250258121173222,0.8520866090684435,0.6749871239296088,0.8510909768846809,0.8585386800528179,0.8118187610543645,0.9440355932516146,0.6164935523167364,0.6288970134351453,0.5944067021931412,0.6949134546963759,0.8685946972589994,1.0000762906020775,0.9659488073879333,0.833394406933784,0.8207206464712616,1.0003828660500844,0.9282480484539536,0.7593011956116591,1.020824532016259,1.1313448903706902,0.9006134083754554,1.0003738440043557,1.2761735946561135,1.2979261008831307,1.0503688895273184,1.10884691810339,0.9103976798830562,0.8653537369093328,0.7257954678777642,0.7057288924808074,0.7644115523652312,0.6579037612733646,0.621137898383624,0.6606525353931973,0.6857316023788111,0.623167613720834,0.6813839312454868,0.894909881305223,0.7870383616635057,0.7467954463230905,0.8730462120939038,1.303209743973506,1.0520737728928389,0.9972842528525382,1.1806637203321841,1.358674676914367,1.2484323341972912,1.0307584034437216,0.8264284792255545,0.6775547426267254,0.937733461952823,0.9266128728841125,1.0751450758857948,1.1228795162655643,0.7862074727273467,0.5805421180346403,0.5134505192523175,0.5377861742882445,0.4708519203988493,0.5072090752604147,0.5742231249777584,1.6325912823800917,0.570057986183322,0.5479489514117357,0.6484446424417944,0.9845802543992278,0.4880664080974843,0.5965708715809129,0.7654557417012078,1.283424485959001,2.2250883393390595,2.869098425337929],[0.4670901614625741,0.37198578345852396,0.4469583873754114,0.396626657917851,0.45866874088234133,0.3674625634953348,0.3291251322639778,0.4197417062031657,0.3950731429143064,0.40402742566932404,0.4354094810045104,0.5120261547009939,0.4330335201828487,0.45929042920596586,0.5717197763805038,0.5370491035813159,0.5102222348388745,0.566995933555244,0.6101157218861533,0.5993368748417724,0.6435006352887193,0.7580965761687509,0.7735575476648097,1.023027761512669,0.6827267055120548,0.6766131771074337,0.5598885888880593,0.5134067702938543,0.5288815758175199,0.5285333216721136,0.5977852321236189,0.5760398202547719,0.6446632697520019,0.6331017619430935,0.552902333298547,0.5588886644629426,0.5102563690905495,0.515991930511818,0.5055364861925145,0.4819513907262833,0.7503474443089733,0.6086912333178288,0.6015317046854535,1.008459418324685,2.211049823729262,2.8953279035489814,3.1389439545606512,1.4740047201636854,1.3130493281260698,2.0788287384354955,1.2623356580319032,1.681250662726668,1.2418564968825272,1.3807728514792719,2.201633289307482,1.0405483422741086,1.2739011816346697,1.2781837087437797,1.3302670198158943,1.0807372471232453,1.0195431521112832,0.7277649454069265,0.6677638999507228,0.9150219942730708,0.6712807923953313,0.6383146760412773,0.840834303386833,0.6315996108825817,0.7962758870857674,0.6992854712693517,0.9235195214907879,1.2327274807047308,0.8692338672533233,1.0713497785800137,0.6916151152345802,1.3359193542897874,0.6474786420584343,0.63061454664189,0.5991372230790457,0.6029994121474764,0.5829474591099202,0.5631529571005537,0.952205313583529,0.5292786396378323,0.6567283493809407,0.5016272882009031,0.5301244234993328,0.5989101960079918,0.5679292584068267,0.6188478638450616,0.6504833622135046,0.8123141328869194,0.7237711839972414,0.671728016465004,0.6317583441151496,0.6954974660453179,0.6578335083759521,0.6156278899651416,0.5797318743073788,0.8438681260175478,0.558997251744771,0.664366114520237,0.492324386324632,0.5935878409567595,0.5285334546985218,0.5740480104947636,0.6845115520020308,0.6020018426908119,0.6136087213177875,0.62206508482647,0.4771735773372731,0.3766559623325599,0.37068505211576275,0.3959006129164047,0.4223588951149023,0.40502501759390236,0.5165181694225204,0.5084930124653565,0.6544085032728398,0.590514658973675,0.5760629508112228,0.5064912379338686,0.4503028130783925,0.37328795263250314,0.3851953626418095,0.3931651539973457,0.426717743790196,0.3969922617355813,0.3917757963430141,0.4715685722551477,0.4892974162827785,0.5007003199239883,0.48753218746520577,0.5459532532600156,0.5057944278215042,0.5818978643919601,0.940658525443203,0.47608092487388304,1.0798325762805279,0.6128518453293584,0.5308044729141593,0.728051054366867,0.6343601104461696,0.5030670606649476,0.4657457701724879,0.4920129254699692,0.4335861239888188,0.4673315287306868,0.4299159575398058,0.4585884069875046,0.5180268330318262,0.6006541333706973,0.874615811570713,1.6032482335084257,1.1766431167583025,0.6920415003725312,0.5099916705877271,0.534531652844161,0.46529045646005673,0.526081119686831,0.5068758008608933,0.46251966876936645,0.45843171164219504,0.43214175931290105,0.4960718621976465,0.698581369274605,0.6436469530458869,0.9387308588444367,1.1881344890798569,1.0194467123149091,0.7381541900429504,0.5669045733393734,0.49862529384105303,0.468608512060485,0.46737136850091254,0.4821594293943806,0.4962691504502395,0.6598971731170337,0.5188724512177707,0.4796844116167207,0.7692763309126595,0.43748471715438486,0.4521704150599508,0.47789722174068355,0.499388856418198,0.6032184748126733,0.7242749466450539,0.8383794965933117,1.4807089358870582,0.9819151337005995,1.1907874906369362,1.8098533117943865,1.0768633392386593,1.042489270106966,0.7090582374408039,0.6419165088508327,0.6648649569166435,0.5253333006297759,0.4845820309510448,0.49094325243894776,0.40777615879877355,0.44498161487656107,0.4078886492854466,0.3948787018650016,0.4889697417314975,0.5183997641620207,0.5048507721712915,0.5386474710482141,0.7464857468353032,0.6407311278725449,0.6642426880355639,0.8427972760263701,0.9368475404023048,0.8251779045523734,0.9324897251788106,0.8711774215132227,1.092878169542552,0.9254309345717626,0.7272581621868712,0.8303556029973682,0.8394860872492488,1.6165282864795345,1.0920444957042192,1.5768666681407768,0.7297598532334749,0.6975450405868813,0.7700413624685674,0.6579002229209884,0.677973844961995,0.5096440159786831,0.572021904525499,0.6123642641432264,0.7727405932033419,0.5815052227551197,0.7781154263102606,0.8003747868207814,0.7048990615076389,0.8988917721287435,0.5289726496649528,0.5020653327277133,0.4901014722722432,0.6388093380628352,0.8406753834530889,1.0677400062953504,0.9687613516450025,0.8369179650168143,0.8455491410987055,1.0228991069908013,0.9489107612375239,0.7823887211754996,1.0694648315296325,1.174213314850192,0.921607914522067,1.0502814294863307,1.332559197301016,1.3390617360861297,1.0900165247994937,1.168769750957412,0.9446312320995207,0.9100095144027922,0.7627936972576416,0.7430762372286608,0.7839993006395927,0.6515139782235922,0.5917901167123482,0.6212351070633402,0.6267213486094488,0.5270681295793477,0.5890104883031323,0.7962690295594002,0.661908052464735,0.6492809940711706,0.7277729405395835,1.1593534687824805,0.896688314872301,0.8526757767336528,1.0181297340647826,1.1955103284212794,1.1658875920234952,0.9075903782468433,0.7152679715440581,0.5869301420767807,0.8923882847041671,0.9095643853788984,1.0522482692633148,1.0556579324369726,0.7697055777376058,0.5165036611632495,0.43107507762335184,0.4263043195682459,0.45593650948645453,0.4509661779887723,0.5234507465052968,1.5532769909036852,0.5148855572069179,0.5007411399584426,0.6032589822526154,0.9225311691691908,0.4348436885001544,0.5594258908386956,0.6631141208955392,1.1745091151814007,2.145212532089675,2.6806233152216516],[0.42311717131675675,0.4082082411695705,0.4778244627821793,0.4180183038111786,0.4642353278215914,0.3557672187868692,0.332668724732478,0.39503995308836576,0.3942715172790479,0.40525906156990965,0.4287786392645256,0.47819150085014445,0.44058167565122364,0.4662159812883705,0.5577286951506406,0.5184984601657198,0.5153720766767937,0.5632431620273802,0.629218989950619,0.5901681864363453,0.6833677212264152,0.8362921115085951,0.8123378730883678,1.0937265903459443,0.734026150953117,0.7078344887827435,0.5605438062763503,0.49845483769022636,0.4996006206347878,0.497196322725365,0.5820480994401636,0.549882227965919,0.6308666642301929,0.6180961774325446,0.5411409604805271,0.548632310120434,0.4900842884755741,0.49767005776345874,0.49167134014446945,0.4894275822974136,0.7183123664398723,0.6083480582398015,0.6268463378332051,1.0570206201446555,2.268813402872375,2.948110259156546,3.271551768062679,1.6033359310059316,1.3668939772147093,2.1848537926207863,1.3768059284302272,1.714900133719272,1.3262256908658447,1.5096244212552787,2.26271407516354,1.0765778951351315,1.2340157267247294,1.3673505474532361,1.334871557434349,1.155381903632872,1.0100271307241862,0.7401387782632912,0.6873453261707547,0.908353610205133,0.6707854477892243,0.6591514378876675,0.8581748285884675,0.6000262310636899,0.777550024176493,0.7070474897022171,0.9009303250205951,1.167580056685506,0.8723401160057451,1.0945900600723333,0.671965511517187,1.3362907212137258,0.624294737050774,0.602787864258974,0.5679741131929379,0.5824059858745311,0.5691429761632397,0.5679577126044101,0.8847624728092057,0.5424902263551434,0.6589948849767556,0.4800470670818751,0.5124575917967095,0.5988433228952688,0.5551912551087401,0.6199764240817854,0.6454749972146827,0.8240201048769418,0.7142280602621108,0.6728646579708055,0.6285206954911622,0.7005390994713926,0.6612938184516363,0.5980590981360624,0.574003348239191,0.8351396016986552,0.5543245215552198,0.6870114270475643,0.48836502299575396,0.5971505605118272,0.5500897542992627,0.5605319494322762,0.6951701865914416,0.6188981149647742,0.6211091953249445,0.6647950308937722,0.4999849431969123,0.4277199787513366,0.383080396417274,0.4166585411537659,0.4271374938730124,0.45278704528771513,0.4918580969367935,0.5506081520310324,0.6937080213906672,0.5905391373334468,0.583966761071787,0.5276819034441377,0.5075121494628654,0.4394842431406416,0.42217540748867566,0.45135465305209527,0.4647613903338691,0.48440582531232745,0.47748556808057413,0.5261442916911857,0.5780372469928293,0.5605066313357179,0.5587744130886334,0.5758205604109231,0.5580246170650474,0.6452196379299608,0.9078478375342749,0.5609249032074873,1.1444934445305166,0.6749201074814394,0.6092975955437283,0.775660695674926,0.6396411223521725,0.5264270239804554,0.48724580644753396,0.4877172313263525,0.4398676898672502,0.4540213362778384,0.42662496180154225,0.47775579846524746,0.5206991746557287,0.5925584889494722,0.8630564110650104,1.5850797267399586,1.1853446621180812,0.676906705473678,0.5223286596501733,0.5514326318468139,0.47378524309319825,0.52194487181107,0.5138640090252159,0.44063879124540034,0.48032915090892464,0.4406797036545658,0.5349482463512147,0.7471038550301984,0.7422849147685371,1.077257943109527,1.3022215849619492,1.1095808468351767,0.8194013893926528,0.6148987911451911,0.5356936749292858,0.4912630168408628,0.4670468844281189,0.46741260935779994,0.4965786400900731,0.6604002095443049,0.49079872390052276,0.47860535068327437,0.8103058077557537,0.4645473237121612,0.5054200640720573,0.5372742766457661,0.5515957076657046,0.6498469857730679,0.7690690760951674,0.8906475750647295,1.519952417712503,1.065984228566783,1.3485236559698643,1.9466018130722724,1.2088673538402936,1.1465112470411503,0.8302413110164222,0.7643295482679124,0.756513595616394,0.6249718299223324,0.5824761115659383,0.5431999698723621,0.4645044468525393,0.4101614257361694,0.4128888097546584,0.4771940367599711,0.5252968781708957,0.5343757300452064,0.5500802776296739,0.6117301536300699,0.7750202288773052,0.6948093182531967,0.7445958408486455,0.9176795944386021,1.0014614582852333,0.9033861670104949,1.042054338663444,0.9881156595039545,1.1855746509793383,1.0344538226453912,0.8303339453688764,0.9195483815341685,0.9148874831667877,1.576892719131587,1.1820659813938874,1.6345780827849394,0.7645320257390967,0.6899172808583707,0.7602355721850677,0.6424429917710629,0.7056679555586771,0.5717845247951688,0.6441550919739523,0.7218594381822973,0.8712254559252124,0.6947333793858965,0.8619435890001281,0.9311154594900946,0.840401552113439,0.9667724820970838,0.633156647255809,0.5415214835825951,0.5399824530987083,0.660693296040993,0.83473688661199,1.013435768642395,0.9007198938391978,0.8035380470386995,0.8050939192568379,0.9437759344873843,0.8839605417369498,0.7415946444717243,1.0149531588808376,1.11775322013528,0.9057663486716285,1.030471798683649,1.2976845744196521,1.3392811993513876,1.1132158979244244,1.182643594285494,0.9769228872980974,0.923673841404289,0.7587792284046729,0.7540412303095909,0.8227987913052103,0.6930210292882064,0.6400935942928229,0.701033178260674,0.7180133849028999,0.627216601139937,0.7000255239717864,0.9141031496280976,0.783313939745801,0.7823643418600831,0.8943398465995751,1.308359404430811,1.0342363805738215,0.9762545605182223,1.1634324325807162,1.305396304436482,1.256008451256966,1.0014503002740947,0.8013986358002949,0.6646366398141955,0.9356763680420217,0.9741752843163876,1.1329479792251382,1.1262193501713025,0.8334981800319892,0.5688341084835769,0.5075005274632666,0.45166310047095626,0.4293196726993799,0.4505785918481189,0.5110591805064092,1.5401443866507534,0.5458167458989437,0.49689701429054933,0.58648411088706,0.960487286848742,0.42051817120747403,0.5255191321120715,0.6395421461046482,1.1488719285966467,2.110270179779829,2.659946871239567],[0.7461865747806644,0.8821358971695771,0.9099128167122487,0.8126574704504408,0.867822465505996,0.8178564188164695,0.7563709929366869,0.7636707821770419,0.7125272166990867,0.6612713405261328,0.6225585395558982,0.7215236056115023,0.6569727457416156,0.6040598376476841,0.6090748582960938,0.637042665966465,0.6886787036642789,0.6311387038594741,0.660328770188081,0.6546784833798336,0.605506163752007,0.6793341591677843,0.7553898403330848,0.8837485519697956,0.6986710311017472,0.6489958524676962,0.6107594076336313,0.6174191989598832,0.6312458979242233,0.639571959977732,0.6420695277324151,0.7051395652547674,0.7043979323610348,0.6873604556178199,0.6494020429784352,0.6307526783554307,0.6341112512485052,0.6902668663793233,0.6938816323880165,0.7503395903032952,0.7077163838459437,0.7084445849604278,0.7017540826749277,1.09872875230504,2.2780194501236277,2.994619999821342,3.3210948901255466,1.64104428887051,1.5189601982726193,2.3019665864889296,1.5122112448696985,1.9271358170468857,1.4837707744633493,1.6171174725404935,2.6035902119399323,0.8736612898504417,1.1482529900509686,1.5177294611629637,1.484265024250687,1.3173429231712173,1.1886359665477118,0.8441312066296304,0.7097066499494559,0.8639257919346713,0.7083701518865257,0.70765323641754,0.8988848545721366,0.7007221482567523,0.8336539992955182,0.7404046058381656,0.9903568468320424,1.2086423406976012,0.8616671349574708,1.0728217014647559,0.679015145442376,1.2214980250448568,0.6719898144859086,0.665625864197964,0.6552645965091928,0.6536292416903302,0.688098466179078,0.7465871525951816,1.0825702616847137,0.7754021637825796,0.6938144955654189,0.6671176607557913,0.6436214155759079,0.7008283467523818,0.6170007971706365,0.6914122992342835,0.6786334238991024,0.7579394172889894,0.7274765332139481,0.6788932035341751,0.6784895777482436,0.7073548897863704,0.6749690132107855,0.7201658737387214,0.7236650253143495,0.9563586509200176,0.7328640376772642,0.8816672788005879,0.7654775494849265,0.8757450508440259,0.9307087049634549,0.925027989393459,1.1500555539290402,0.9988742490282848,1.0189687808772654,1.106143207301706,0.9767700058700329,0.8418642882967253,0.7674794891353852,0.7460869596304304,0.6870414258554911,0.6577069146261361,0.608180703440548,0.6815893606145963,0.7031621997453111,0.6833254342394638,0.6513196898420087,0.6200419508434853,0.6221608618877538,0.6487308908665901,0.7074813444035882,0.7895939559537184,0.9115976261119131,0.8582784661474603,0.8816301707386888,0.9018743549012593,0.9198037457201511,0.9460386263832893,0.9254998632122423,0.9396625409908729,0.9056240498606561,1.0026417576976647,1.1844595012429537,0.854518300544705,1.20849018449839,0.9653512371013515,0.8207581015794063,0.8502586419152862,0.7686890626301683,0.7651625316252962,0.7182973289712719,0.7110376067276181,0.7153053492186178,0.7157383201884486,0.7209234335359715,0.754913113857479,0.8274513137409015,0.8458436578904632,1.0930080948410559,1.6385300287014475,1.2355813702465623,0.8509028355926369,0.7562421684203592,0.8099308695938435,0.7457591423865865,0.8034132880474687,0.788578646293597,0.7297664693124034,0.7607425706846336,0.6977387276256473,0.8069067580647418,1.032495146042884,1.0206350290378996,1.3387208631562626,1.5528643381965361,1.351732478419486,1.1266707701260277,0.9384679810849028,0.832379380228701,0.824833999709379,0.7620875090713245,0.8074320442824328,0.7584040876368299,0.8982610627385998,0.7706519063393216,0.8028509553704736,1.22884446241118,0.8416947146544254,0.8680971587143702,0.8513217158777636,0.8363124969057181,0.8671180628218179,0.9906400190634301,1.0106356562746406,1.683038108235177,1.177142865819056,1.3529480498590662,1.8868085949359388,1.365029314181438,1.3108648460850425,1.0647094189003563,1.0097574745955809,1.038462396853391,0.9471834390265649,0.9523696046572722,0.888661576025626,0.948300368127695,0.9135722817832844,0.8655475787917597,0.9314788073935569,1.035407550972919,1.023845331680611,0.9601841407142844,1.0764885703619342,1.2170082306971763,1.1312937528272324,1.1565430134831005,1.3186017899576807,1.3856700886751476,1.268033700969311,1.3462178585534594,1.3348887939554015,1.453450769160219,1.35494947001619,1.224480528149048,1.3108093258648834,1.3261807726036703,1.83539369319513,1.5788407391340917,1.9559438655817698,1.2058556927758497,1.1553201072265684,1.2442142568272427,1.1207872687414278,1.1348681779421457,1.0761807228245177,1.1525916710707058,1.1401140307628277,1.2688917689977846,1.1125674659517266,1.1331967250876156,1.2040221195174894,1.1241037200489243,1.1403189706968737,0.9884461782666032,0.9643984709676557,1.0355153942731294,1.1327186122949642,1.2382627058695987,1.3921251096619212,1.2648732371650562,1.2322748876977607,1.2226941138707403,1.2724858109130348,1.2370483711322644,1.1829916768056121,1.394011313190182,1.4486692746816614,1.2920296089410177,1.4172815174245326,1.6210372514717346,1.6555904304331481,1.4944067545879587,1.56448316781893,1.3949269917409195,1.3606450844827371,1.220034449183767,1.2263754228850372,1.284921182384509,1.1757165072093658,1.1408817667932811,1.160229532379863,1.1595421194719024,1.0797534494766121,1.1279085160128866,1.2143703986364507,1.1572305163987437,1.1159029028203984,1.2143629087666687,1.5835603037955746,1.2812342862589468,1.2250194778370025,1.3391430152667434,1.4154913270800318,1.5213024269262627,1.2470516773573446,1.146079776052287,1.0422643507180929,1.1846309608525842,1.1651369843787907,1.2631104617441367,1.2337640803043757,1.0560457406997594,0.93439680810479,0.895864374053849,0.8762359361467524,0.8316173620653632,0.8926391845574554,0.9875063318213976,1.6832072970862224,0.9829588943516663,0.9871714689642667,0.9926138506032315,1.2112368708130314,0.8811017783242427,0.9583875913817909,0.9786331236321667,1.3613232146198968,2.1462866602487947,2.7000123904485593],[0.425706973655101,0.4271659812991034,0.4952508551059152,0.41710427642473313,0.4705476330385437,0.382761917285258,0.3584577106332319,0.3806927900479196,0.384900488905232,0.3477123483121881,0.35680435910138975,0.4552189342537406,0.3773930106563462,0.39272285072179086,0.46355886823140285,0.41847976396676007,0.429414424621881,0.44688301259601876,0.5439482421294362,0.5077511045427937,0.6042427182966483,0.7927160172315786,0.7620735409373286,1.0365340947929393,0.6841649469310832,0.6506682008619007,0.48759241287892396,0.4281774837000238,0.43174645742514567,0.4256277002247331,0.4587642519918347,0.4539562496746087,0.5040040094888396,0.4977943770763821,0.4359395831545092,0.44004842866775185,0.3959693422566048,0.4253619317769857,0.4206852364302691,0.42674408397242075,0.7097056786448604,0.5217838556179489,0.5469741186523107,1.009770473613394,2.217849619908525,2.9026341585851028,3.2983743241083916,1.608565966076254,1.3661976737146975,2.2232861895219123,1.4040068708204732,1.6941502022877046,1.2758111982553402,1.5826006430758688,2.487097385577665,0.9867267115683402,1.1084175221815278,1.4705679903350444,1.412592081286938,1.1355805336090388,0.9846797820800479,0.6823167132789274,0.577710460085699,0.7937602921108431,0.6018114275635881,0.5870646228891383,0.7469740224996416,0.5005018099760904,0.6814992018093089,0.6330118031594067,0.8503638407530397,1.1229397554301905,0.7940403733239436,0.9425737700509285,0.5929073293743321,1.2301308204979267,0.5263586398319006,0.48100093945055467,0.4661435917742654,0.5095005166292177,0.4738541027507107,0.5364967040989986,0.8159924806319617,0.4998261040150565,0.6160020027779763,0.42063062822633773,0.43344359220840567,0.5274043769600839,0.45620476190827414,0.5160937753258177,0.5041414234721442,0.7008727427094006,0.5998153610837333,0.5341503486965794,0.5120411569863171,0.5782861632047732,0.557176849189357,0.4987162595000406,0.48289817987243605,0.7312120556234258,0.4881160834543885,0.6601844011220621,0.43524571791945255,0.57993612861149,0.5698697245589784,0.53814093867471,0.6614444650685603,0.647219656168602,0.6456020240018272,0.6582554154793974,0.5263280580227042,0.4290709693741154,0.39718275019102717,0.4030080363713454,0.3531992603554619,0.36166903674166595,0.4510798194529031,0.4813936333645411,0.5979197320090495,0.4851003656477038,0.4982332226858682,0.4234643354914026,0.40790296176420127,0.34495072172772406,0.3715779292285734,0.43616287711851776,0.5086372735659791,0.48758904652845947,0.5220147187395575,0.5471912266030662,0.6010092388053151,0.6060704508856116,0.5784521091549913,0.5921034080623901,0.5653844056033479,0.6690726817027618,0.8962557416149964,0.5010492231820881,1.006618880542577,0.62256810596994,0.5176455101655502,0.6542248754367326,0.5401942465671424,0.44642181245840606,0.41252484783787857,0.4296004058467463,0.3800886573464803,0.4213859345689604,0.38625963756583276,0.45272126766516646,0.5266649127448008,0.5267659790049545,0.7669646370220028,1.4242569785951558,1.080346931502015,0.5737822138295084,0.4508183756177881,0.5188936113249861,0.4083966027774158,0.49803900201967954,0.4605424485280479,0.39927847527980664,0.4311061783434505,0.3832054473763463,0.5090300493556038,0.7497887155137991,0.722675986193868,1.0751356320322576,1.2977208925424966,1.065542324110037,0.7894326385832802,0.5952909215006587,0.5173188717390682,0.465867192613277,0.41925235777418585,0.423970135350066,0.44838352323881264,0.6145678299673463,0.4360733826383045,0.414293972413788,0.8081939682582128,0.4526776781147782,0.5104033209634078,0.5650749630894222,0.5504759891274325,0.619264560753392,0.7217292809792959,0.8684194733550332,1.5187344273883625,1.0644947464065184,1.3171752999081592,1.8606340357984472,1.204050656626572,1.169826920236806,0.8433757519517825,0.7809571256455372,0.7598955021601375,0.6499662624658357,0.597430602617693,0.5900478504023556,0.4923387720923471,0.4410942195804076,0.454313925955949,0.4869478060723695,0.5318851830413663,0.5577794350742521,0.5474121240990893,0.6090184341854964,0.7649839393222622,0.7244498490036722,0.7596653711406159,0.9245572299440606,1.0329436298015766,0.9506172123503238,1.0780367389376448,1.0140084957489206,1.1745450045682215,1.002581472839748,0.8185670030261839,0.9027470590272991,0.8965069270331091,1.47854590688228,1.1438801064800292,1.6115448705436464,0.7735644187532295,0.6892214795196308,0.7399093887678387,0.6269939645351567,0.7100549035733815,0.5633801542083965,0.6321238456199263,0.7329663947509689,0.8761708692866441,0.6917734292843255,0.8441032855893803,0.9276485190742352,0.8329631158464819,0.9853182949481647,0.648002667351517,0.5699169607972201,0.5519853420177921,0.6300945991118374,0.7870417697763176,0.9663341412679255,0.8389044120154436,0.7653817439632621,0.7377787270863431,0.8604267413014418,0.8081759009085456,0.7106240316621814,0.9531237125221612,1.0636844196550517,0.8807739200377533,0.9850581838051782,1.2312886188504668,1.329492778171895,1.0922968469976881,1.1360135612265936,0.9451097135169437,0.8763506862012472,0.71530796031637,0.7132927231017943,0.796591810615343,0.6843962223859545,0.6306430541315613,0.7012169198797547,0.7233069448007098,0.6278636744941339,0.7029099156469458,0.9330365567084676,0.7819282106276049,0.772305701276396,0.874846113615309,1.276757394273415,1.0152323360772115,0.9390825747539161,1.1107770304973532,1.255184444088947,1.1964439254637242,0.9512245358727999,0.7777279496977006,0.6629617913343595,0.8690592945533896,0.9222689663740271,1.083970777061173,1.0829181695781327,0.8147205310966222,0.5650005277020133,0.5246460104962564,0.4535663646807099,0.47866443682173904,0.5300551583416055,0.5521782477204795,1.4929075015833109,0.6505402431616928,0.5367391055190226,0.620975357905956,1.0258141070661595,0.4606930974559483,0.5925431066754283,0.6092110809418911,1.0995406532947556,1.9741955954991708,2.5073936043685197],[0.5405025098840821,0.5401153624624859,0.5816407679239852,0.48205475551552307,0.5504476641645909,0.46347387459209266,0.4351540472842459,0.4539970741523624,0.4246692012681377,0.38056292780652673,0.3894427271638323,0.49018836256732146,0.4082921745615146,0.4097189057063713,0.46614746195148427,0.43784007953313814,0.4489858729644212,0.4486897215307914,0.5403105847376951,0.5068467122462763,0.5929133553266326,0.7786758336450923,0.7737213922865368,1.00871515131892,0.7042580343088942,0.6464201956893193,0.48868430761976767,0.4329953439838336,0.4418423528282472,0.4372457068479339,0.47636556572912486,0.4839744162940727,0.5295049414847296,0.5112378837225883,0.4502711138463742,0.4463601027562694,0.41954406046705967,0.44219787225137863,0.43636052787970775,0.46692898974758695,0.6683474128115312,0.5122451433827301,0.5313860592632241,0.9869093901859188,2.1826087707962296,2.86019299155955,3.322120300691117,1.6169315355338765,1.3596225664409634,2.2341285119097924,1.4340579547196355,1.723096561755516,1.28864686011682,1.5871990166316112,2.5950843322402113,0.9604466629912862,1.0642238833843953,1.48805446304759,1.4296044868754418,1.1558666667801378,0.9728097603539406,0.6853470644225628,0.5835537217765535,0.7981950483993338,0.6108104468182015,0.5915550776263679,0.7616434577705411,0.5151551217205445,0.6936413429187163,0.6494725802494049,0.8724116552653216,1.129045232240948,0.8100503702369388,0.9529170356907534,0.6027733327191712,1.2210317910098278,0.5262021793648232,0.4864526043580593,0.4627037600196789,0.5103906849327965,0.49840942643103603,0.5623112795341206,0.8139933188026148,0.5379785402812997,0.6333174902146063,0.44867193446588377,0.4321044383745279,0.5428487594872534,0.46223289604618584,0.5227471219479611,0.5124797555025498,0.6982878269871368,0.6073762879259943,0.5485224123553214,0.5307702834509476,0.592810077225226,0.576580517147606,0.5252528641705289,0.5229677797626445,0.7751721160405127,0.5393871965719859,0.7355063493457651,0.4964780492593612,0.6474143398927028,0.6572225191955626,0.6214576244553413,0.7706639635725814,0.7085293850626666,0.7088682634796495,0.7278961044283146,0.6089124044068701,0.5184271091405586,0.45996832773170443,0.466046951868892,0.37802428929594967,0.3968160124751557,0.4542913462641839,0.5051219950544793,0.6108593397394861,0.48541788026306776,0.49390158435834725,0.43943212903406426,0.4178990723841172,0.3725733008093747,0.4075775730609879,0.4735521720772883,0.5930169239363172,0.5780942908221957,0.6394124652677455,0.6375183341065902,0.6971113346358261,0.7229229821851887,0.6728517384168998,0.670081240058819,0.6393587335442414,0.7400190349844085,0.9199623849297431,0.5586077843298903,1.0059514756765922,0.6145263995809243,0.5650369364193504,0.6960262768072434,0.5281142897109331,0.4626390754585716,0.4329295542448682,0.4460591584877095,0.4071134797188422,0.4531068161640001,0.42999783390746904,0.48025070029016564,0.5794826197336004,0.5665364305772288,0.8153802717066356,1.396897286550828,1.064965632738995,0.6055322737688674,0.5010290366277216,0.5746392747927788,0.46272378847917534,0.5492830878858184,0.49035775301654955,0.43459641600306576,0.45244563203037425,0.42233170767869077,0.5626365365247439,0.8093156744917347,0.8109465812437918,1.2113463174719488,1.4162388279122047,1.1366852327262622,0.8727704555673234,0.6335049624829637,0.5647936973544764,0.5087671205945374,0.4548338269645954,0.4758319771145931,0.4914774522899745,0.6635973818786268,0.48039510258019774,0.4788214480378904,0.8353747662262514,0.5198353399012943,0.5915951851691352,0.6586926286224947,0.6304870972138542,0.6507870530071506,0.7215570028094075,0.8672392048026377,1.5360491875744184,1.0871874474084648,1.3956084460402982,1.860096955820234,1.270262431321355,1.22563266259995,0.9245292356413153,0.8817830054232013,0.8511605776513663,0.7415409236866193,0.7064830149003853,0.6883362345374245,0.6141716432182995,0.5781115722369579,0.5759318747739386,0.6092889582424899,0.6665497058243363,0.6878474400427582,0.6451195376530111,0.706682461008599,0.8868832950106074,0.814136870992479,0.8310154753619144,1.0408493504773408,1.164615228245473,1.0253730637438532,1.164785573677092,1.0450051005469605,1.288858242596368,1.0620267072353593,0.8971780829188707,1.009535584146473,1.0179681334254305,1.4972602927401215,1.328082039194722,1.7029099003059491,0.9119166709128035,0.8330540887487935,0.8663428186108505,0.7398643900745632,0.8225424320409968,0.6857666282756864,0.7351588262434375,0.8145295296163514,0.9470474402083778,0.7925113247624862,0.8933976090505148,1.008497748413964,0.9047764777444401,1.0324478835424253,0.7459634195426988,0.6757047437950062,0.6672809632250746,0.7303037444264979,0.848845086519731,1.1092983746544294,0.9066957859675532,0.8520966368544498,0.869009308087991,0.9708719049925745,0.9023455474718409,0.8438030146155417,1.0951783538552977,1.1960286408035692,1.013315784930954,1.151717956448792,1.3939296653467568,1.4909886765640086,1.2476507455134376,1.315683946824324,1.0989280263744374,1.0373370852556043,0.8645027458108001,0.8576140111428409,0.938961524437979,0.8149037719939086,0.757218065708472,0.8244845884673394,0.8323046949290844,0.7327360629399158,0.8155839125593389,1.0351821414751592,0.8600800425538019,0.8578689764788276,0.9720175119790548,1.3204709612053342,1.075884017378395,1.0177443897512262,1.2184522136760403,1.294250707000246,1.3154098291147347,1.0160847818581427,0.824167700176427,0.7213296797001503,0.9488175618443311,1.0393489160060052,1.2086414666289291,1.1655352783465551,0.9143927545043454,0.6497029706800888,0.6387814457015991,0.5537743526398652,0.6117271554045803,0.6465365327017011,0.6679515403399509,1.4326975869459928,0.7622609351590712,0.6535468331659257,0.7464610026013888,1.0778815654798535,0.5972742495705028,0.7179606074475969,0.6739768870559532,1.0160649261514023,1.9223603127941165,2.400666141898629],[0.5647198596129305,0.5843653884481034,0.6060411813399996,0.5121014847893864,0.5898741830893078,0.47868942257250974,0.434437134747405,0.44514012753580506,0.38116946137223146,0.346339847492641,0.3430469624652394,0.4365724908688683,0.3643139669796332,0.3670470209983311,0.43644922691668125,0.3853908725919262,0.4085681750135128,0.4233184637292561,0.5072962901553588,0.4838991367577821,0.5439729320652226,0.7217684510615646,0.7429642492535407,0.9624704317734715,0.6815100697735583,0.6123645239046152,0.47026670976426593,0.4253687308350466,0.42016795341566116,0.41839209944642597,0.42710613422706833,0.4511631460794487,0.4977686676432822,0.4735143421987589,0.4136154078726949,0.42310236955707203,0.395242627345098,0.4423815566532201,0.44072667703030627,0.478634346122265,0.6584583926446762,0.5085864936566132,0.5243279908020332,0.9694594147673626,2.152630483942529,2.837281657920842,3.305190074079241,1.594749636182516,1.3671941844009412,2.2347035122164973,1.4381580657960564,1.7707909448566996,1.292118875052619,1.5519547860441931,2.6365493235534294,0.9485350524729335,1.0880043498735912,1.4733836785421246,1.4445147015319844,1.1526477019254309,0.9620542203468081,0.679141474357675,0.565340966819925,0.7514175467558664,0.5754866189133283,0.5623180397851172,0.7354267273898547,0.5011907546800161,0.6767203799959794,0.6218586186074263,0.8640252309114691,1.1237861367637485,0.7856514030874568,0.9249976308781148,0.5669035678774288,1.1633086712565859,0.4949306911676613,0.4671017672256237,0.4601925834692827,0.4826920255034505,0.464295708621833,0.6158763225331918,0.8237130350181361,0.5023896957898968,0.6116339657922735,0.467094298887775,0.4430026408105267,0.5077856251652758,0.43780920546424473,0.4845708771001083,0.47470030808756,0.6540117510311401,0.5645218150012868,0.5020194770832579,0.48350094452338166,0.5469732416247395,0.5358421723893031,0.48992285660997265,0.4811431093888394,0.7089768300209406,0.4963409007356251,0.687167846831965,0.47834004112019496,0.6126965812044148,0.6458570711822643,0.6284189992862532,0.8092942561303018,0.7536011817665504,0.7544905833410966,0.7535079318373069,0.6391774962813469,0.5401145959249872,0.46663587697965725,0.4621956160158441,0.37992543435949067,0.3903057966769097,0.44927700947792254,0.49627008508274034,0.5828436038847589,0.448796031902642,0.4745502970578759,0.4102359749382058,0.42234405163243266,0.3653025065875443,0.3879000564818081,0.4784301786065517,0.6803552104313418,0.5992428723767268,0.6809764250741769,0.6705111223397384,0.7494168482690667,0.7780083874365988,0.7424292313697791,0.7150825483363443,0.6874286233724901,0.770120468339033,0.9704417811084696,0.6107886427715232,0.984331170182443,0.6257385718182079,0.5660037780984309,0.7075179425533904,0.5135086308351638,0.4628927208487756,0.4364410719375772,0.4510661512637231,0.41626718342572055,0.45499019253829465,0.43110270419283947,0.44483384888546224,0.5601408892092881,0.5299351066557316,0.7822683461413515,1.3222427612603758,0.9737175711177515,0.5694877988364088,0.46500617916038595,0.5283401187942792,0.4413056097611105,0.5440385326781813,0.4973737194775384,0.4629179527034778,0.4796525480487502,0.4548560330529444,0.6151653256033935,0.8716200333900604,0.865733958556264,1.278562236876097,1.4794548217059111,1.1774889003585984,0.9320555739499333,0.6816725395519071,0.6111451493295897,0.5501290278850502,0.4853728414731266,0.4806978217864534,0.4895297004647636,0.6762309317825996,0.4885888545437441,0.49504666271726255,0.8741704559839245,0.5372477398657907,0.6082494073803765,0.671165195490201,0.6545269380951309,0.682603049890202,0.7626443633144309,0.9023021750125003,1.5996614634589585,1.1289709365205645,1.4040532156016534,1.7970045445440361,1.2724361390796284,1.2578360114406344,0.9650756127726844,0.9303965132123976,0.896982651922153,0.8096670181582832,0.7920958258823628,0.720942092424006,0.6921149738591973,0.6251163935925553,0.61142831952018,0.6897970510640102,0.7417304952666652,0.7245235588673692,0.7128520903893653,0.7841354979297076,0.9453243937606366,0.8390147026483858,0.8745053293756395,1.0944969259070285,1.1934411490821355,1.0227275028155305,1.1836695692790582,1.0619008363443676,1.3588598828370333,1.1436020372155553,0.9791241629744498,1.0834807216873814,1.1157768169313145,1.542626995491039,1.5146168510483058,1.8081551669960854,1.000709245082074,0.9208298312016174,0.9142870375656659,0.8032019757334434,0.9115164140153287,0.7771585249326679,0.8242010327794634,0.9215255429887612,1.0621978008114572,0.9079146533913575,0.964987835198085,1.1070056336775127,0.976713522943786,1.0801319074637699,0.8448398596158682,0.7359841908664757,0.7429071692133025,0.801798629925557,0.9102300015488647,1.1943954287820997,0.9475123442457853,0.9247300538365354,0.9322899033195635,1.002202483168066,0.9276942813664105,0.8896921498572028,1.1519314768693047,1.2397258100713648,1.0559397547642195,1.2073326297161942,1.448529774315466,1.5380008962192375,1.294467833331462,1.3750827496021198,1.1696449518279612,1.1111337122870022,0.9421019578820389,0.9456481041111507,1.0219493794630126,0.8955936028007926,0.8538434124761689,0.9195453168350569,0.9164046663761825,0.8305195128220635,0.926642798525576,1.1226899272751267,0.9506078413849401,0.9365285192153002,1.0750788124344561,1.3410938079407209,1.1474267586244944,1.1067087879250168,1.347266146178932,1.4046394117308716,1.4089347393571272,1.1336307172425037,0.9157558401712177,0.7916115593042107,1.0891549767611508,1.1727554201576318,1.3427267704089525,1.2714975196461973,1.0073806762876933,0.7331252250235221,0.7071518667252978,0.5872645108830696,0.6331410253792253,0.650049876683548,0.7022231290485421,1.3588685440477468,0.7672798576962683,0.685662221222884,0.7728521831189719,1.056249697923042,0.6269064973999995,0.7410803579905273,0.7016316011174645,1.0251973221545303,1.880610286431852,2.409371788815197],[0.5192548275649388,0.5519808577997359,0.6009476407950307,0.5101144228080615,0.6043545508903645,0.4993231977257036,0.4631592058811314,0.48792854252015994,0.41578174640074256,0.3962409413236898,0.3926452532697339,0.45975050128448786,0.4228416270065618,0.40840841861249944,0.46998142513700125,0.4307598526233957,0.4472048085293849,0.45316309906725655,0.5084968027930328,0.48659045971637116,0.5152959436155493,0.6824005475229444,0.7005582480644923,0.908862740967202,0.6703655821757364,0.6023182514079979,0.48662346306670573,0.4488378012154809,0.458714519565868,0.47458965434742273,0.45488431839180027,0.5003233518004284,0.5311348257484825,0.4993364334846342,0.45788060213644083,0.46597941437612117,0.4604688259955407,0.46761016718973547,0.47842941525053867,0.5175793206998139,0.6994107276674701,0.5295457041919189,0.5352253599301718,0.9051869356647941,2.04497270420417,2.753929498292032,3.1494664368979244,1.469604451374753,1.327626527108771,2.142096574551726,1.345086869789753,1.7581855508755422,1.2304292067274514,1.4230981693669147,2.6146927288080084,0.9093382877505043,1.1357561013304864,1.4039271797149653,1.4368872462921527,1.1107341521320393,0.9525446240116319,0.7072461811369893,0.5901372681787094,0.7306293343017226,0.5584999718037154,0.5687611981461197,0.7161990824986686,0.5196346576199784,0.6993032226571777,0.6125104532231956,0.8815930366412367,1.1342603764977528,0.787996928221527,0.9141631384318853,0.559987570392711,1.1223938538003018,0.5024026775336754,0.4942845289979184,0.5040516803905857,0.5015081622557901,0.5333528315575395,0.6753538922602491,0.8859624642651986,0.5437047353374963,0.6618813625894295,0.534917048907591,0.5007310010315722,0.5634145220689316,0.472255696861267,0.5128509838611852,0.4819527736547504,0.647017849423708,0.5600603447339125,0.5139150011439222,0.5026630153252976,0.5537071013146297,0.5607679907109129,0.5149006378851542,0.5100999139156959,0.7292209834265123,0.5338549093815425,0.716422144872124,0.5124375185881714,0.6411878124314359,0.669839730763992,0.6730004578557902,0.8913189234624121,0.7749206382617183,0.782732215879971,0.80367315122274,0.6809405664038258,0.5555653885804793,0.4991592300157536,0.49148085538794234,0.43772587209310626,0.4327799517433128,0.49782608931140937,0.5260445246926815,0.5697657927431672,0.4674983222175689,0.48725928480453884,0.4456855251679625,0.4516214805684255,0.40480624597392834,0.42701352835441014,0.504952744888556,0.7014469526737419,0.5988997169417875,0.6728204623535793,0.6732130974802059,0.717646430069343,0.7456677566354548,0.7044359722515557,0.7154075583433862,0.6806905802845588,0.7598924375768958,1.0147058591172333,0.6225988773356572,0.9880017117214214,0.6513587511829091,0.6050738478117101,0.6907875654731663,0.5612898617243567,0.516715000877489,0.47305478836228454,0.49760786538338053,0.47149059180360375,0.5074007143071841,0.4710094848077533,0.48257197148571584,0.5911286581980697,0.5610285191243111,0.7993278093155473,1.3369639242887355,0.9872491817635209,0.6063661240444708,0.5065692393760463,0.5601399698635983,0.48643263838314665,0.570298500444135,0.5287178636890029,0.5102673403483952,0.49616010678800626,0.4902026899561018,0.6119259298714417,0.8751990800998565,0.8275932401214172,1.2154744005222136,1.4317697386450055,1.15064197220722,0.9154600943953372,0.6850403887081583,0.6178836575151652,0.5820937204496338,0.5355395376229009,0.5367014190070719,0.5302077624777601,0.7401655478210228,0.5406864349810444,0.5687197601476164,0.8912038167587466,0.5731266641617909,0.6033488616825138,0.6447753975393932,0.6380142303455049,0.6591363090736099,0.7757216517137412,0.8942080114929607,1.612260609478544,1.0886175111355734,1.2723616870691958,1.6944473241750566,1.1810920685963933,1.1813015110365037,0.8714001848305759,0.8526830773490734,0.8395612332079931,0.7370709672149912,0.7293559648286474,0.679704050438827,0.667801711031083,0.6358096819045936,0.6096579747939167,0.6575215733993065,0.7306006876643972,0.7289138823937801,0.6912977493537871,0.7576622828803519,0.9392847583395867,0.8264768286706949,0.8502213422587761,1.068905168345146,1.1735145287987288,0.9838308711762478,1.131219344168006,1.0259197844840697,1.326740464403389,1.0933410142550704,0.9435174437115736,1.0431833692765464,1.070377517723968,1.55149302634634,1.4298648418397721,1.7828671304204295,0.9556898704180748,0.8799809164161142,0.9174389762319137,0.787317568729771,0.872467887967889,0.753513964069628,0.8036393457987829,0.874245795473012,1.0308394031531818,0.8452895741792585,0.8770355691326022,1.0302690180219622,0.8919597763538557,0.984207940931339,0.7745540765705385,0.6872655319722976,0.7209443959371028,0.812038240864238,0.9342210964649229,1.1996245420400087,1.0024152397451174,0.9646621726062801,0.954619146536333,1.040131093420406,0.9845733942768558,0.9206216647575931,1.1806436229543127,1.2723767219294306,1.0712164132102133,1.2046227972734629,1.4514927651578498,1.536279752535392,1.2814221172352833,1.3587951775287144,1.14923662803615,1.099204719206696,0.9414983199311567,0.9346901373290312,0.99819512172484,0.8748944531766538,0.8300357835052109,0.8768822075411568,0.873417709962561,0.7847768859336693,0.8601374306752133,1.0412800897910686,0.8909880821422923,0.8619101723174848,0.9820357282058638,1.2990945814559478,1.0754607804126755,1.0433738802940347,1.2561302768582723,1.3522406722108686,1.3460815661525927,1.0913618858022014,0.8773372069429566,0.7729843192176691,1.0877463400440148,1.131620562118158,1.2728207914572265,1.2037008647670835,0.9469660664204629,0.6918953050428949,0.6675135989658074,0.6042549229666069,0.6414266313345899,0.6658775111334345,0.7183072864319462,1.3711048756399462,0.7778002353465203,0.7037357106597618,0.777568236164626,1.0713349101677707,0.6281440634299756,0.7167339236853443,0.6822118529846469,1.0114138592869866,1.8736516188829784,2.390107157515185],[0.6090078120322288,0.6108287588568316,0.6132365228760455,0.49772221225681484,0.5754615111128981,0.5491452046077502,0.5012073023071199,0.5513484495728777,0.4805089116368464,0.4425817121415389,0.44837482672975293,0.5597344943021924,0.47050995876776547,0.4362610031917148,0.5066050516417102,0.4777559627655823,0.5026438588615856,0.4752624375859419,0.5103706913731854,0.512302016609414,0.5024961311439734,0.643849073366022,0.6898580789012705,0.8485251570060387,0.6240581795829929,0.5673740723461347,0.46099954657247,0.44126475939827575,0.4555434925719417,0.47471273504048994,0.5115949826207445,0.5859910962940529,0.6355880888235613,0.5862357042948626,0.5337188620310098,0.4954280482471969,0.48936478766461605,0.4706481246099827,0.45812738255795776,0.49270472339507143,0.6624283818213985,0.49876767067674477,0.4965894111154561,0.8065431598627707,1.942077228626321,2.6497358012819574,2.9510585995070984,1.2796165905424346,1.2068855679820982,1.956846358697064,1.1617904188251154,1.7485967484122484,1.1436736562057666,1.1806566648167174,2.4360896884329133,0.8867086345603826,1.2102591845577857,1.2400370506593283,1.3893269476952277,1.0556907928479702,0.9250385579505024,0.700083191696009,0.6086905631458439,0.7968999417619032,0.5633929854902785,0.5611176741145565,0.7687527838293755,0.5778479551634077,0.731451999264425,0.6390324197216185,0.9144462930844495,1.1887908199949238,0.8014934709724255,0.9421608175475965,0.6006528099215342,1.1634422220558513,0.5533682738117072,0.5533102360003842,0.522245091377913,0.5326882043510037,0.5621158827761107,0.6251207813405958,0.8984028611692354,0.5332260804486992,0.6057697275135403,0.5017315250538312,0.49593136096921303,0.6052278612381065,0.48706643460223764,0.5929288636545528,0.5484356194059854,0.6865121885446748,0.6380920523648389,0.5956400855277676,0.5720157097420275,0.6319107233968947,0.634010838633225,0.6051499387217137,0.6179266327762206,0.9005543736133097,0.635834517206952,0.8235871773374369,0.5950967610893338,0.7177004874410102,0.7248042336331915,0.6885814831825762,0.936934343292297,0.718591664217187,0.7313243279990086,0.834318192425497,0.674602330368604,0.5627747352981514,0.5069917023920113,0.496890332922343,0.44850504959879245,0.4448646044327064,0.4734306438342788,0.5010689514713847,0.5477415057845976,0.5105489228142944,0.4934613649565778,0.4412415750406332,0.47958405109150054,0.42785886108653354,0.4634843650704102,0.4921859337047774,0.6128339575605902,0.5788328609292709,0.6749925814252448,0.6998920712643782,0.7013744533364787,0.7585114555630325,0.6909934675728363,0.7449785358458962,0.6619143361216002,0.7268381467410088,0.9822126299144296,0.5905285605009384,1.0665550709331442,0.6025558272022153,0.5972832018848475,0.675532475434991,0.5700911557072644,0.5002142584106364,0.44967542565098834,0.47327106354159065,0.4468721660662491,0.49891720799159295,0.47339167543152394,0.5168175785445123,0.6182731222362612,0.6633388333804325,0.9445899462776154,1.4872237641270383,1.1247550746069683,0.7485462776175417,0.599499654362652,0.6481819470851923,0.55057871332121,0.5992026826399635,0.505318087706533,0.4826632833805489,0.4536761580011419,0.4457647041654786,0.5700517460318288,0.817401034672861,0.8130601768071066,1.1781523349865186,1.4258559719464707,1.1711201078593076,0.9291455879183603,0.6577338094413449,0.5926483480514562,0.535884291886739,0.5052189456102724,0.556954123420791,0.5421227782619944,0.74156475877309,0.5331698189664993,0.5860140768901257,0.8452262009556971,0.5768228538765247,0.6010515450151975,0.6344105380711231,0.6196480675208194,0.6232235266815128,0.7412221548548651,0.8220620266576619,1.5568651700381702,0.9860592079687726,1.2029794457371805,1.7013405286774186,1.128068806657211,1.1155614643734157,0.8320953726591005,0.7895941486897419,0.8175564440153844,0.6965575351831196,0.7013571745049405,0.6962607301596303,0.7041585194381736,0.7088936530803118,0.647769429924674,0.6901385728085445,0.7961880460268603,0.793237840310479,0.7428593134465461,0.8115886958589628,1.0095715598766193,0.8606696161996296,0.8714427099250731,1.0763672057510867,1.1573686272015598,0.9593291373389203,1.0869294192941648,1.0104109275881468,1.3185892840758227,1.1114050013229855,0.9759671079549519,1.0906156695454197,1.1202249828981388,1.6206373284729028,1.4886784065915508,1.8643787677370398,1.0570802134749846,1.0129289023586558,1.0503353489036653,0.918298682387003,0.9346539720373911,0.8139846048626082,0.8569625549237365,0.8649655505389032,1.0144952602392359,0.8456599555972134,0.9079032760689849,0.9910839668866754,0.8769096404413735,0.9241678561502146,0.763293061114191,0.7111604606258316,0.7613812383053461,0.900890671055818,1.0335195892295799,1.362389986361115,1.1226749616965903,1.0687419709138988,1.1096620073512518,1.2432946642415943,1.117694962891825,1.0527574774030535,1.3441565395651474,1.4330613900391398,1.178714080830829,1.3236646332390607,1.5886339387185824,1.6224817082064007,1.3522929662331038,1.4656894392034756,1.228403995672616,1.2170093503979782,1.0631098833766175,1.0583723173953332,1.102256839862086,0.9476753064374585,0.9051953147884605,0.937919097069963,0.9200019632154441,0.8113663195183299,0.8790448373230948,1.0412773218912437,0.8924916466874082,0.8465009787397637,0.9580924742628611,1.2446911300802885,1.036837922633565,1.0188460114250135,1.243064220974373,1.3474167103674815,1.4059087098670833,1.1241883659058742,0.9094947601769393,0.8272578322344898,1.1736380173146819,1.1663075205914957,1.2859390542664557,1.205454645684231,0.9758367489862149,0.684933843835526,0.6667404534395551,0.5905083501298978,0.630945987702338,0.701509945516839,0.8043698074222058,1.5234882249575552,0.7799420552266456,0.7742497329863143,0.851177406231576,1.0739839950005847,0.6911454588094001,0.780685465147892,0.7911146241034469,1.1342207923322385,2.0976685689766943,2.755305824006243],[0.621081071292074,0.5872864025300628,0.6208474278388224,0.5081063486273231,0.578774426314736,0.5463358053895356,0.5137942486492598,0.5912815218793452,0.5259107914330723,0.48303278529017096,0.48372309241638195,0.5766501495338244,0.5083986297015126,0.4668056794335368,0.5441832118461217,0.5180435129576594,0.5640017301329513,0.5194381192840807,0.5414775434945442,0.5356154503844175,0.5673987786337925,0.7194895247039013,0.7219035151263633,0.8649020065596754,0.6266945461666689,0.5950370425293094,0.5072110324801852,0.4862588084111867,0.5067916361381535,0.5295607276382128,0.5574458673672117,0.6266033037202342,0.6709995332008774,0.6289056363643409,0.5833957796869444,0.5461696456578196,0.5624408378011847,0.5157932507156466,0.48311175531743994,0.5018290262578493,0.7560220448245496,0.527961425049919,0.5242603526823146,0.7552811701223984,1.8116576368191168,2.514349638746379,2.713300802150901,1.1094680838302604,1.0811842150978779,1.7615979339184071,1.004197050849729,1.7368682240928373,1.1089856258700141,0.9774246595621349,2.284673266870658,1.018155484246081,1.3775676273055064,1.1225670890857247,1.41236200767167,0.9964820007123085,0.8986618479355118,0.7236537293358509,0.6433261189828393,0.8178528552373987,0.5900794364363489,0.5812358915223566,0.7568339904300425,0.5865147402482861,0.7266031581552647,0.6285528952444197,0.921814041902827,1.1884573789238504,0.8049381676254788,0.9087833672985607,0.6061845495253754,1.1867577230602615,0.579291517428231,0.5914023072299598,0.5573731538365015,0.5987181957776991,0.6460483509179488,0.6122181678421648,0.8848870082252472,0.5823395346521416,0.6452918926498298,0.5431648031117536,0.5498147916793835,0.6892489169102202,0.5317622407173177,0.6369429769040994,0.5863917775934206,0.7439377146247086,0.6620430683220065,0.6300793085722384,0.6040528604468668,0.64878111134414,0.6725007657653144,0.633782374302401,0.6635421821998092,0.9479092441757646,0.698201827277194,0.8683030882075062,0.6642891534416681,0.7737677180627839,0.7551555539216765,0.7095291503776004,0.9487258439011257,0.6990093832516763,0.7005511233189604,0.8352818009906499,0.6735223686874533,0.5517168643166632,0.5105258891918703,0.49523758126554396,0.4789332446904895,0.46681851870457125,0.4981941469896797,0.49513542109567704,0.5674110332970658,0.5437345625099154,0.501001960123587,0.4739522604661147,0.4978973402945218,0.449101086710283,0.48963294047720846,0.49565944803602136,0.5308679784286328,0.567385455155855,0.6299568111073686,0.6930043298097962,0.6168931603514378,0.6948489527889925,0.6221313910271598,0.7524848921404538,0.6092483532655512,0.6620761114667166,0.9853976279049147,0.5796047271385973,1.1081150400317763,0.6095702378842897,0.5962150859257683,0.6483576871365104,0.5716403890152489,0.5137767851181602,0.47039182100962723,0.5065164272010743,0.473375284618189,0.5276844413743758,0.5234319643600269,0.5832818843192259,0.6410620305504356,0.7025530587497265,0.996057752736513,1.5225897093992649,1.1365135928225063,0.7971798187213994,0.6543511562551645,0.7072458583728147,0.6067956696691242,0.6556507163726051,0.5528016315811347,0.5047162191322049,0.47522770017829485,0.46034518921649586,0.5521712627738412,0.7573283238549754,0.7966448185239546,1.131464290967529,1.4022269142634327,1.1866976982360975,0.921936746531787,0.65367143235873,0.5851001691326969,0.5436604801838204,0.5391829223677681,0.5838393823847656,0.5840081838596489,0.7652229077306252,0.5634816102468432,0.6111036558827544,0.7938896736491928,0.6042197733689791,0.621217261411388,0.6376623144579254,0.6178914453485949,0.6004531419151982,0.6991140522139528,0.7720707442031073,1.5143701522415958,0.9293619700424284,1.0924613089636401,1.6456468522602337,1.025618082143102,1.0114789825546775,0.7392317246035065,0.6582451641195978,0.7191606120278894,0.5921591708282287,0.6080575506374729,0.6543085651873222,0.6671052354366249,0.7191917835812403,0.6399148121438721,0.6332105540613533,0.775109636288143,0.7803638663669121,0.6799482847478722,0.7700319436368617,1.0023757855303086,0.825429677389337,0.8133098777502052,1.0061885211812671,1.093777215729785,0.9043689439973869,0.9884706528436873,0.9330667141194067,1.2561832651647529,1.0346001771160265,0.899659025018073,1.0593611485133452,1.0997175877591523,1.7987917161468328,1.4052829658194912,1.7864442389198905,1.0271322586492508,1.0266489618700252,1.0962163679333987,0.965950434600161,0.9348102131577626,0.7945772593835665,0.8516066503670121,0.8047216534140663,0.9068431292391178,0.7729279701528953,0.914542493793471,0.8421450975729302,0.7913808477392409,0.8614797706102585,0.6740707200228828,0.6826667609511893,0.7570395553690572,0.9314158140895539,1.1129777161412198,1.4386995972068897,1.2290708309634943,1.1327843156708497,1.1900441100678687,1.3449915332719165,1.2129046733816953,1.100652021535535,1.3956964651276014,1.476966039340797,1.2021985844549419,1.3367401422627199,1.6013764338529957,1.594974085173547,1.327810517098005,1.438473878483572,1.2040241887370127,1.2250317528804884,1.0954227321774177,1.0754446087715925,1.089163276041166,0.9251085711163424,0.9006366843100959,0.891907022699464,0.8641840315061737,0.7666453105956802,0.8366635172114886,0.9410628290559121,0.8013200618138374,0.7728051683602472,0.8678625128319944,1.1810599875576182,0.9360832292532635,0.9146271815472805,1.0986506721479057,1.231748606087846,1.3213941371685858,1.0381509453831375,0.8229222995466131,0.7448649754585722,1.1103350637031444,1.0648066405130796,1.1607561807123996,1.0864737503466837,0.86475087564041,0.6163756095128523,0.5855063982425806,0.6135342294002973,0.6340133787597214,0.6897182913383533,0.7820113668211959,1.5502132677493428,0.7246354284369729,0.7406917098923305,0.8311018146043825,1.0926280274752829,0.6858128827228105,0.7526980413835235,0.7939884973819029,1.1741483533404011,2.214277093023988,2.8643614438596328],[0.9139504992500302,0.8951367384614961,0.8815771554196482,0.6782182195616023,0.7545646476475579,0.7516815750711171,0.7533925568940735,0.870010816948855,0.863607418860693,0.8357349320941199,0.9186376154775066,1.024661562629634,0.8875666652601356,0.897298144476748,1.026277248410514,0.9591470781611421,0.8729426834145325,0.8933386631247929,0.9248904963106607,0.8562291076478247,0.9398446331585765,1.076232286334236,1.0022753629332017,1.2038192939370291,0.940213158443502,0.9455484814860207,0.828410236329642,0.8037882115796202,0.8708669793718762,0.9250325278695238,1.0069113806969965,1.0551909671310353,1.170400593506727,1.135215726933611,1.0461739257300293,0.9414425928146641,0.9668713438882726,0.8421916792931343,0.7766939203055291,0.7853365282450536,1.0277294950499276,0.8014752306763105,0.8072885689705506,0.9164638153268085,1.7861108552907101,2.4559207234219635,2.7004320150012764,1.1745908825256748,1.093389799786374,1.7418043441058464,1.0263394379375066,1.6758691106392398,1.1250756667683028,1.074410310408357,2.3601578058019226,1.323971396447528,1.5588400193632592,1.2676421340967006,1.6084588275588148,1.156733706919257,0.9456695296546777,0.9138168396959055,0.9857094029324863,1.158132488100433,0.9299753433253707,0.9018778134565062,0.9535307269993353,0.9183285663043406,1.0009617928960972,1.0277730991479366,1.1237087340505874,1.4182566029213424,1.228721836042206,1.263492171761516,1.0720692111825698,1.7404402810495034,1.0210882132018027,1.0697702247769922,1.0009910019749657,0.9896950920994738,1.0473893722208742,0.9155577942602202,1.0918217809029767,0.8827476121040053,0.9641958305542221,0.879253466372641,0.8921140985754129,1.0827085589899197,0.9499282768889412,1.1213738928812416,1.0540670257541533,1.2592868820997694,1.127394033231762,1.1678480848456756,1.1063853113169544,1.1685300787436619,1.1866209029848611,1.1333962434976583,1.1340002437730925,1.4190809293873468,1.1643013276587293,1.2456354833580248,1.017379223559529,1.0844404984079163,1.0181388334761825,0.9513788663834775,1.1900214302018313,0.9567244958033629,0.9491300571505348,1.0541396437648387,0.8953245017224715,0.7805425234443762,0.7671242526015988,0.7488285450085419,0.7644770784914614,0.7251273946411614,0.8249563523398443,0.7637229394987378,0.8756019926438597,0.8570941867989421,0.828361422102459,0.8193869627082012,0.7508742798090108,0.7040533728588059,0.7380762602378118,0.7063329876588649,0.7693373405656373,0.7576656491146362,0.8308311223800979,0.8707445760257034,0.8209519829252856,0.908910276403271,0.8160669916329868,0.9281185050725397,0.7709854915410527,0.7823709014950441,1.1830079638714917,0.7006716391277301,1.0930056157492696,0.6831527530944919,0.767947974783737,0.8103261915471192,0.8118022430803735,0.7138540706412846,0.7144176806986338,0.7819462126104556,0.7188084655925199,0.8047821652419964,0.794267522230825,0.8669794591796709,0.9260451402861746,1.0460609407792285,1.319996247641812,1.825809577022077,1.5382178436699174,1.2177025714293954,1.0362154246764166,1.0458035517286186,0.932032358692304,0.9032803891293714,0.773219165157883,0.7633975252568121,0.6740787032752805,0.7141219459024993,0.7208942998941158,0.8661529497164766,0.8552433927002194,1.1800461817008299,1.4442791028145334,1.1982444793566525,0.9729588676042019,0.7554570782738488,0.7496114561073153,0.7074807761445695,0.758812823333952,0.8660437606754323,0.8630245988593891,1.0210600176014466,0.8342266925060204,0.898670104816565,0.8813537749325406,0.818190994975185,0.8103412855650841,0.8083529439003805,0.7776257418738461,0.7777921713326015,0.8163255411423714,0.9041739429368838,1.4897994913384554,1.0305817103375376,1.1384533769560377,1.6187164996114363,1.124806783736435,1.1432897845295222,0.9084795646488748,0.8658484594283407,0.9418717914027128,0.8568909720217378,0.9136715549268054,0.9082774166762001,1.044126887745193,1.0564121600404581,0.9429674255963137,1.0128893420423881,1.193332730586051,1.144198378322322,0.9987775678318876,1.200195315219163,1.4039921298007878,1.182022364316527,1.256093411121279,1.4856708083552828,1.4510572885601243,1.2827224233867742,1.4884610056398797,1.436464409155861,1.730592114856916,1.6048688895729541,1.4424555270665915,1.6378528615156043,1.6717275332397945,2.0848218745878513,2.0479946462318694,2.2664436768120435,1.537954480801512,1.521959568354178,1.4806614920020926,1.3943714772508684,1.417158634153843,1.284166783162988,1.2955107925424318,1.2873063316315314,1.385363704232179,1.189720835745153,1.2413551969902616,1.2643213880325879,1.19173886007553,1.109571480213611,1.0390070673648828,0.9950257438750651,1.1190090942082198,1.287988774617003,1.404948483176376,1.7821541192330501,1.507516053691282,1.4274815858912997,1.5333658616659038,1.6590741913556941,1.5005580841749504,1.436006694063412,1.7331942623676633,1.785122728590389,1.5322285726977258,1.7265108118021333,1.9689809307621735,1.9281923367210847,1.743823889703672,1.8913611134893569,1.6784723273497308,1.6893246639522972,1.5193510511281252,1.5404947026588318,1.6135958358735534,1.4150429740712347,1.3952960562047492,1.4545956103496884,1.4220633973804175,1.2712025659566555,1.3944683835956095,1.44995500185832,1.342582242664463,1.2468065733882923,1.4292785340383851,1.6999627912140962,1.4011360868083882,1.3462445770694866,1.6301332100897268,1.598268857678896,1.8101098942771252,1.410679037183331,1.245888650182371,1.1007492782348902,1.3376208779513221,1.2820276570085827,1.3842176985108974,1.2915785144511762,1.0990265106330395,0.8597221962024567,0.8509117246506823,0.8540692499492759,0.856350869767195,0.9688488108054651,1.0795857679896137,1.6893427290398757,1.0049505393018499,1.0738623815690187,1.1394566609193097,1.2919191993311878,0.9435283416027779,1.0720637684722887,1.083669068643648,1.4100840985827325,2.431949619216203,3.142233862973911],[1.969256072667791,1.986663427501324,2.0203868171795194,1.8906819018282077,2.077709863450626,1.995594898596195,2.030032363436216,2.1114660134605305,2.033180133164221,2.0067404415763557,1.9815353521542924,2.0313840355171027,2.0237652527474035,1.9608018003049683,1.9859070257070042,2.0137719990742826,2.063414295284026,2.0005967461841228,1.9779186169906409,2.0011411368179837,1.9573218209587546,1.94074263961359,1.9568645534508762,1.9084291576953603,1.872980431027768,1.9151442446043045,1.9825558782876918,1.9978845190089813,2.020498077804603,2.04768266190383,2.0066248014449886,2.038705816092179,2.0183286039842936,2.0305462082968804,2.0380072182411917,2.0561460435470638,2.0461082538512225,2.0694400231473624,2.0950238697161487,2.058828730474119,2.211838437961088,2.0903869147939576,2.0841449716631812,2.280533300662562,3.0904196495119267,3.710239122624801,3.9157641298227834,2.5750141387195167,2.523858360964324,3.13897006218881,2.4091474950214287,2.5491255215459585,2.231911820638985,2.381868854864429,3.5529149401353055,2.0400389298410495,2.0309668461837447,2.4625081061232352,2.6887537990558856,2.3871378802267738,2.4152832367146537,2.258793323556972,2.0279728137416972,1.8915529364515375,2.007460530295262,2.0329543792602225,2.0542973848932182,2.0250139342813935,1.9601971922109591,1.939708729602319,1.9588963411855516,2.060587737607066,1.9147527394537374,2.0033278493447586,1.9403722455127308,2.0437957902033763,1.9881123707786512,2.0188576339441275,2.0196653527141115,2.058131590239434,2.117520295264976,2.025538647784553,2.2798180024159254,2.0648975734741457,1.9395465313697269,2.0356574361194024,2.055363336825976,2.107269227619037,2.0294587149345213,2.0538150095659264,2.015709127808872,1.9440464503736485,2.0168722126064798,1.9802184451557043,1.9898137058188334,1.962469617643386,1.9355630889726383,2.014151057620477,2.019053634731439,2.080898969523928,2.0404361216104134,2.1192195749120435,2.0720799816465516,2.0255766238092066,2.05883593920603,2.1788131479763924,2.2161085465584365,2.1859727693674316,2.186311846920058,2.199535149578947,2.1922540364167724,2.050331098951607,2.058119663652922,2.0039243841153462,2.0353691740734168,1.9609357747412803,1.9757489254338996,1.9472572522743419,1.91173497123607,2.0068575430488664,1.9333535773448574,1.9405808475050157,1.9565929352214915,1.959423933125256,1.9883519347916754,2.0277759209071435,2.124575562951848,2.004258617550859,1.8866839580924144,1.9355798773653794,1.8795334526808858,1.8994378856928518,1.905416269967315,2.0082689453939477,1.925322389452797,2.0097069313870666,2.4665817646087143,2.0433300690809735,1.739059229346965,2.121109810244507,1.9195076581682173,1.9488593673408838,2.05305252474811,2.067086005231375,2.036728186289243,2.103096816917625,2.067492261571004,2.0859442433765425,2.068897134290786,2.0673284683110857,2.099168378980503,2.0713366584763024,2.208388649923137,2.3074070674232297,2.1216074793644166,2.065955865794648,2.0662419547203688,2.0778511855431683,2.0661441923550665,2.063973804352505,2.0828813309968313,2.073669230252324,2.0457690294193807,2.0251563501470913,1.9245836213963043,2.085989810558993,1.9606981910977697,2.0038367602896177,2.0982276474764276,2.01308445934838,1.992531071993259,2.0265364321326627,1.9869230276858711,2.0981737161397986,2.0828708299305934,2.0586985282369943,2.0630654887953987,2.1234693010613164,2.059040313056067,2.0099414736918964,2.3472758381615373,2.0528685306407386,2.000670056942243,1.976014322000652,1.9806863835351471,2.007864806494023,2.112475996716802,2.1074080907967123,2.9162039146368124,2.294020565424988,1.9037586483615148,1.9181316696819029,1.8651114006128864,1.915683161993815,1.860602522391281,1.902781756919628,1.9565243927591394,1.8949594394375415,1.8888801022680468,1.8998218503286808,1.9685711969739728,2.041497391326312,1.9832100084499027,1.8838459521390256,1.9964164509417939,2.02420724856603,1.823466383017524,1.872261999810084,2.0769753207487396,1.9607489670919795,1.859928714761218,1.9651549803479702,2.0797077107700352,1.8888532385083245,1.7826071691884333,1.7795278385490263,1.8747386113403803,1.8018520018894573,1.7899423929058675,1.9028679813974319,1.942288915692026,2.323530192697646,2.10374414740586,2.3588126766897797,2.0111843021143194,2.082549995750688,2.210005002196257,2.0957408150545045,2.0231322645831664,1.9795012441109436,2.03936014544013,1.9436213845500447,1.9658471302733,1.9116051060549235,2.0061266589300515,1.8740041551930329,1.850868331876715,1.9841673781935432,1.8688010543864553,2.00079159513393,2.0404514468982877,2.0997441645645325,2.202076337039011,2.4240419731079266,2.3626084981386084,2.2947308908078075,2.262873757225648,2.4032377350043572,2.33113608626637,2.2313083682397186,2.40815519227074,2.482899690810291,2.2712060640042253,2.2989154642880445,2.486341856645179,2.5007313375710716,2.2226930390088633,2.27463986694471,2.0977619247633212,2.158380741608858,2.1415137217309113,2.090822159680017,2.0165157169861314,1.9714417838469953,1.9969674498108427,1.8968764666170157,1.8684134878292624,1.903960039799061,1.8951416818088453,1.7988325759868171,1.816661573582005,1.8610783032283618,1.8349412969608139,2.0550919708612536,1.7841808872148224,1.7765344350469234,1.865097250591694,1.8638685508055444,1.997024940645483,1.7559468252275166,1.766143521933749,1.7464912263218495,1.7761079210016617,1.7385244530837352,1.7746930821279339,1.7891223586732417,1.7311506297552508,1.8654019507231576,1.9124894875267324,2.1382327223653967,2.034510108706618,2.0418295672084135,2.06575371766315,2.3117181777894578,2.060162777504676,2.0411150889335405,2.1058217974959064,2.42110480110384,2.051039968833076,2.047370906912749,2.054002962605229,2.2916430650173925,3.126163421700075,3.7089398236109212],[1.2494645418041268,1.221428241321935,1.219826528200574,0.9713876302901508,1.1444941904323973,1.0397078196240672,1.038044019263067,1.154051414664233,1.0347262888122315,0.9386516179033496,0.9268524685596983,1.049925946635713,0.9873004989809704,0.8806680913118218,0.9318762083118494,0.9732921373876984,0.9745952855597952,0.8911383973804053,0.8665065831659498,0.9133331101144658,0.8991452986979169,1.0231010668193226,1.0031736970435126,1.0818572237293538,0.8891726011181217,0.8943403370784223,0.877868006869642,0.8895292293127962,0.9354862575027539,1.020305265620418,0.9801760722115216,1.0966405352343604,1.0981752851044648,1.0706039966215841,1.0679643964180954,1.0114287209793276,1.058153605514416,1.0031017225142294,0.9951889187466506,0.9903962433228564,1.2307223739040587,0.9604017980227441,0.9724924116212204,1.1637830596509824,2.0796411884349464,2.7737182724610725,3.0671978261237642,1.5551040345756866,1.5437908383161187,2.2270279601793392,1.4755809909001687,1.8869569947449865,1.4098085216137368,1.457577981129867,2.7899746405641404,1.2725707352993665,1.4999680162712807,1.578548822437516,1.8114554303267696,1.3895838305679549,1.314652029482035,1.1640382478584383,0.9809688680397837,0.8934727738717433,0.9225126513482517,0.9544193977330839,0.983848562326719,0.9180826067380407,0.9347265469773425,0.9026311083757699,1.0323856293744236,1.2236100263884215,0.9810664137198476,1.0571370384310268,0.9183883264853275,1.264575948396409,0.9503437302514861,1.0082185379748736,1.0141131968614912,1.022731596529915,1.1522606249589757,1.132051031333535,1.3348949250373556,1.114117609827083,1.0124425615281687,1.0543916499864754,1.02540769421285,1.1552510171308192,0.9795930136919316,1.090029204899909,0.9951527168819801,1.035737439018435,1.0213917562241284,1.0256249577764889,1.0149903515168492,1.0039932149345303,1.0099674465239086,1.0624805227368426,1.1089292873844092,1.3180156971876922,1.1611873933818384,1.3553884528405507,1.1847547188638234,1.2340013032328667,1.2362238902695553,1.2871238236182452,1.5012931739043247,1.4120777839388696,1.4115124746633954,1.4093174500632364,1.3375098607907574,1.11789598776187,1.0714517709096467,0.9682391625370808,0.9506642920195109,0.8849769321822242,0.8895032001146118,0.846442133906179,0.8624238993923603,0.899346259207916,0.8232404464543387,0.8493919221655916,0.8420278377636822,0.8490490416223598,0.9156884972510507,1.0105477030234993,1.1817569156314012,1.060061666855313,1.052517060428436,1.082224832504455,1.0524535969709676,1.135999211923024,1.0578894330551722,1.1493146413614193,1.021951886556319,1.0470321336364499,1.4328712299010302,0.9813512665669506,1.0448212947414357,1.058202161012048,0.9254875154174395,0.9422542574869838,0.9439331854140143,0.9555114281275549,0.9240159781926933,1.0050423899181526,0.9793294732654395,1.043154427195623,1.0904613908157068,1.1022810271532821,1.2269242361386994,1.203372736404847,1.454344440942756,1.7032710324710068,1.411782068317978,1.2351123727805446,1.1600659381326313,1.2134287050438706,1.1340892780902128,1.1959105548983773,1.1005190556735374,1.0444869513529946,0.9573798474363514,0.9706230947443116,0.9341996246394229,1.094615711221761,1.0686285484636475,1.305972903369543,1.5106150361071504,1.266694650236073,1.132304195012768,1.0068908157828838,0.9890269496839293,1.0991100924827155,1.114095682020856,1.1392396319886828,1.1077659852488746,1.2784494132453443,1.121783104047784,1.1034368791666707,1.3616659403736693,1.12309911798192,1.1014061748213726,1.1156215796722828,1.0877333969650325,1.079706024222962,1.1461892309040795,1.2360547567150457,1.9492417304072798,1.3973317618743815,1.2236652155381182,1.5032694896776013,1.165424666808389,1.2203189997778134,1.0899662426727281,1.0877941710481918,1.111958746658317,1.1316041494599547,1.1492875686164001,1.1666304814016462,1.3075143717635314,1.3913249367083345,1.2721451618476658,1.215674123836577,1.4242996955098535,1.4230876723376005,1.138200215172821,1.318511867678694,1.6432762917374428,1.3937772727583193,1.344912188148279,1.6234544612066608,1.7171434915497097,1.3812040810248962,1.4374888518811724,1.2994265829455236,1.654386600776236,1.3812932044962574,1.3629066685240367,1.593889249619463,1.640906956676359,2.111208518874469,1.9184146956658383,2.139219187502325,1.6425613062943623,1.6562612092984672,1.7137404504326241,1.5909941540832468,1.5825220376502833,1.4627599742540487,1.4868174050672747,1.437304808867787,1.5031606270335187,1.349512837361723,1.393420288974388,1.375599182324303,1.2766700200944967,1.2907564224813637,1.2009844778993504,1.2910824107562997,1.3799712076602513,1.5294751826930093,1.6511397581592608,1.9933182766362108,1.8207363149215872,1.7011258122073363,1.804483583763529,1.9484473782342426,1.7796956054478978,1.726717306994376,2.030566926957252,2.0857927717545666,1.8366668178224546,2.015485572296282,2.2681369583976467,2.245887120910079,2.0113680783825103,2.1482314718101376,1.8836486750128743,1.8949251105866263,1.7569687359882717,1.7190355154304067,1.7178769758747867,1.5557600671575584,1.5406369601127337,1.5059231958228805,1.4482933744003463,1.33997574960279,1.4134145730868293,1.4023915918673757,1.2897035768858405,1.2953356584208215,1.4087509167208205,1.6429924718361453,1.2569311572764794,1.2342110966342468,1.4729182451685883,1.4437794338780114,1.6244527956703043,1.2481984888752635,1.179852714877327,1.105621357830923,1.3206917287911477,1.2839365912953595,1.362988050172338,1.3032970336297156,1.1377678154876842,1.1204567180570348,1.1169947562395686,1.2294109493160519,1.246803673201424,1.3416536383313182,1.4630236681585558,1.8266438716842646,1.337224562763191,1.4191335186353402,1.5830393426518008,1.6969197382753949,1.3087299618369133,1.5062328468313284,1.5839606541886682,1.733981842000855,2.591677783142338,3.19180243924069],[1.6479427009182375,1.6070674618107383,1.6023259164513164,1.293236009411381,1.5186283782577037,1.3869504427736377,1.3641413259541335,1.5124533623551921,1.3953145788923371,1.2840978632937385,1.2587561558232183,1.4012800586525525,1.329190282790829,1.2060635022442427,1.266358994963737,1.3046380393404713,1.272860811535177,1.2206993772035213,1.1421488977284429,1.216377028641939,1.1250464086389904,1.178769590462238,1.1677049886517001,1.159986622746988,1.0888672693782206,1.0847447414728297,1.1520910228940464,1.1939939899312024,1.2744068852630879,1.356903323694926,1.283947404754935,1.4367075348585678,1.4357771044995447,1.4067254968000793,1.4114252420320517,1.3522802341201956,1.4127949234374158,1.3532943310665424,1.3377840278574349,1.3244492653037896,1.4531028039653002,1.285029979158293,1.3163674050884349,1.482021930326041,2.428578855504219,3.11073457456142,3.456318364590238,1.9353334688796264,1.8947030082669376,2.6358829824105756,1.844730528495145,2.09533048367772,1.7362482935897343,1.8963314249521737,3.2218686770290277,1.4908226085791716,1.5659352424241637,1.99003935072809,2.148311411368161,1.7427968842149488,1.7015381629453343,1.535142797375863,1.3144092545607946,1.1857369843515762,1.2205078728272019,1.2834730758219512,1.2677323563034877,1.2422114082581712,1.1844187765378764,1.1851783184607572,1.279748600997258,1.3784574741837903,1.2140548099477517,1.302644998647133,1.2195391130060085,1.3905019100123939,1.2694066001760074,1.3390446366784392,1.3656519943331638,1.3440662970962618,1.483541080762204,1.4926102305152202,1.7019892213511567,1.459660805762826,1.304605748882179,1.4160345106359076,1.3791245261374938,1.4765817782063804,1.3268405914331842,1.4119483235198287,1.322071129177135,1.3050953903898226,1.321178527214826,1.339699069186789,1.3343720521955573,1.328871915211845,1.315219135402346,1.4179596774701901,1.4551034798799372,1.5993457283760861,1.4854455218013132,1.674638043623489,1.5350538081023255,1.563953753862871,1.56878442012034,1.6638754282435861,1.8793842631880484,1.7813635022844512,1.77798426668261,1.7923333965564867,1.7105060309208697,1.479747556040255,1.42505909880129,1.2912276832871372,1.288298895752361,1.1649323622191878,1.174553246461987,1.086674213304029,1.0490109977202557,1.1817232083592755,1.090509515010045,1.1082760120819763,1.069917740544394,1.1269517551152102,1.2126477908356712,1.3302390214316262,1.6167375520033713,1.3722372399083518,1.3377100963527693,1.3876099580142836,1.3553709466718105,1.4155076827400996,1.3688993958209645,1.445587472126729,1.3354900692802267,1.3645956736454568,1.771857448186091,1.3167581663487278,1.0387092563799452,1.3741991332668781,1.0511579652537053,1.1238457187675026,1.2182889102901793,1.258447711708084,1.2518299824343786,1.3477076246226554,1.3223756262556199,1.3806344358589726,1.4478680911652595,1.4490042459901313,1.5940015834194714,1.5397434517895032,1.7535453671811354,1.8738901317207157,1.6714710851824626,1.552476526183112,1.4985029503618983,1.5527315889618494,1.4927748430082213,1.54183014571593,1.4643784817230607,1.4063408253520848,1.3093862483467578,1.3300094674944214,1.2690522944831182,1.3698569012169541,1.295224340762987,1.4978045115982663,1.637277382918513,1.4131346026873972,1.3352492221538041,1.2901002740268754,1.3041377298145884,1.4620572408688586,1.473066659956087,1.5124080779636606,1.4846888791015191,1.64262582270642,1.4849841193415387,1.4668129426885443,1.781099342582251,1.4834298477368544,1.4125632281518232,1.3870837954475,1.3721891404146624,1.3939604858642023,1.4573500730592266,1.5266120672276604,2.248649339072571,1.7210963683924492,1.387892385275801,1.5447763733398427,1.4005537001203436,1.445100929238674,1.3513324617278244,1.3582004520126538,1.3659294907074626,1.445979479858989,1.4600302060659274,1.496274843151121,1.67425855821025,1.7547453653908953,1.633589022651589,1.5698617229484133,1.793967551588886,1.7997154012147412,1.4736270993521048,1.673835281634883,2.0042486289957546,1.7701332863329449,1.7117381103588931,2.0034059539677167,2.093564792652143,1.7476125870684416,1.8023177297453672,1.6009175280670984,1.9782724349916365,1.6086737288531716,1.6730294092592366,1.902585678179179,1.9299637911185665,2.374969313304996,2.1734363433026727,2.351510152505884,1.9586656570154086,1.9676167103071647,2.047881733873898,1.9090926826597077,1.8896280784081634,1.811653287208872,1.8427737414696232,1.7658543261066548,1.8221756338457737,1.68632754940702,1.6814159582824115,1.6454387032846995,1.534581589748939,1.5345599168210922,1.498856120525917,1.6432427453638618,1.7576871190298968,1.8991114665337734,2.001475995161511,2.300202306728817,2.1412323698309947,2.0456114261380347,2.130213503123712,2.2278884552543694,2.112807584778769,2.0587432056859614,2.3215033361541635,2.3618730576200786,2.157225416297201,2.324951601924387,2.529027912980547,2.5364272545749116,2.3408568021332696,2.456214253568921,2.2289096591489366,2.216491389625222,2.096064220333459,2.0491578718110874,2.050787871307741,1.91477352070245,1.8890140923158878,1.8385438663254023,1.7766974072026618,1.665654698651803,1.719955861025929,1.6375189767024267,1.554159095788585,1.564710973385476,1.6642779376930377,1.8684822731886548,1.4155754233513103,1.3956223658839504,1.5527157643086875,1.491689535762981,1.7005920059431723,1.3257073180253591,1.4126887507758614,1.36075221171892,1.3459506774987262,1.3403410959237838,1.3673961298496358,1.3531874242735507,1.3270300682324156,1.4533607005143196,1.4399511519867858,1.6027552534003013,1.610739186963761,1.7254230537820407,1.8390529905167348,2.054488145031617,1.7136767191148379,1.81436904586362,1.951420575202839,1.9790990211575936,1.6969417037938235,1.883757788908456,1.9534165099151009,2.1009345041188,2.7636214862862603,3.3403454932695404],[1.3045956398564598,1.2202026104538024,1.1642481941781404,0.9521330210019642,1.0687154422938585,1.0980081429009552,1.0281223969173354,1.173927934943071,1.1037891003648106,0.9968292510828306,1.0010708480999504,1.1086112314537073,1.0002359787218096,0.9253772698683731,0.9976612086026677,0.9959066479207955,0.9384172141553125,0.935878389395133,0.8593757364232425,0.9297616714134904,0.8518636385340156,0.9150462708966712,0.9291143785938776,1.0050138326515097,0.9524984250325453,0.8812452470061801,0.8295546211572923,0.8743439611723676,0.9423552167631162,0.9995456973747933,1.002027633714532,1.0816063993097795,1.1504294843783398,1.0936854752667164,1.0499576041449292,1.009465162070502,1.0206897546239537,0.9790268604681424,0.8969859638654469,0.8750716573800496,0.9843783034357589,0.8779639750377737,0.8761181166428953,1.0958168879643138,2.0938333011537598,2.7749207333215784,3.1367584824064374,1.5473833542235955,1.44868540408256,2.1981768500932826,1.4703231116639222,1.8918112707746826,1.4788729302109285,1.5896563668595995,2.9279351978149766,1.1979346244284572,1.3086085555524662,1.6041975631869345,1.7588120170040518,1.2736120508316335,1.23140453122293,1.071305587679194,1.0072837824465948,1.029733581935185,0.90547177696014,0.9288727363936105,1.01036382871477,0.947268324684939,0.9915344236899268,1.000587006159529,1.1774480641873346,1.3880010895141819,1.134016650320193,1.1538426276870748,0.9997596992491853,1.3693722760565854,0.9937755941175712,1.031666700257955,1.011601782003406,0.9929935050016921,1.0495972390821395,1.036643069616331,1.2196270592715668,0.9641395806182309,0.9640342991029873,0.9717451766007269,0.9549654801030631,1.0792474578345432,0.9937476523080641,1.0819053951975552,1.0353444689011542,1.0866664190666273,1.0838750268855033,1.086356149020844,1.0694971297343856,1.1186733199779122,1.112010819460008,1.141747158836414,1.157825284430145,1.34837079338518,1.1872812722544492,1.337017745759529,1.1699150737908024,1.193676863363982,1.1604069334479221,1.1684201735802118,1.4013481315266527,1.2198486932215509,1.2122851979079503,1.276375061452108,1.1905534834807905,1.062827423756087,1.045094713646958,0.9373581925230788,0.9276235017377297,0.8161364995842677,0.8973468092257451,0.7644142787561055,0.788336907847599,0.8294493599039301,0.8035510674149671,0.8331552582041168,0.7628385193937949,0.7957286559802493,0.8789264717242443,0.9018247583780562,1.1755227778567723,0.9781355587002183,1.0138808115954503,1.0283817210358526,0.9975870191098313,1.054342395757707,1.002983588398814,1.0499455646575546,0.9667217014834205,1.0084064508297033,1.228296955900331,0.8223602168655455,0.9498111756041149,0.8488062543781736,0.6836382406146462,0.741306340447594,0.7787362581569126,0.8165757234926629,0.8419191346751049,0.9506749891112285,0.9128422005309335,0.9956556705504903,1.0259484226759252,1.077757705541537,1.2160656563302554,1.21997279371004,1.3399457477676835,1.643217608589883,1.4018958385026574,1.2125592879020832,1.1557879614429538,1.1890070162223043,1.1123969459538021,1.113522920553257,0.9923486027416232,0.9907831733974385,0.8812388603604845,0.9074346099767052,0.9011213913177007,0.9594652331296727,1.0257774710938892,1.361129412547934,1.5685226593061188,1.2694774932340542,1.0889656334169748,0.9087316637095022,0.9183589756776563,0.9688371330609618,0.9888229254515007,1.0578405834378082,1.0910346116960432,1.2148057832969197,1.0310309340539796,1.0228142674011105,1.2669684286442338,1.0067806933153953,0.9717516329584721,0.9712320345715636,0.9735289799505639,0.9834688691632871,1.028024508778194,1.0743644160457622,1.7171202747687757,1.183067404039774,1.230277480980006,1.5829820949183304,1.2181576506610492,1.2416198851303304,1.0216706168054617,0.9882605528947164,0.9872732768746634,1.0306610086299794,1.0304114552207342,1.0625739537457237,1.13669929288083,1.2022953126111569,1.116041905241466,1.0824152674829648,1.230096449262564,1.250239108802307,1.0670754940039837,1.1747682808184472,1.453832214718069,1.3012892058003047,1.2624044767077074,1.5009451243614347,1.6244924634696611,1.3371570748128827,1.4398945445724762,1.2542326862074662,1.6306308606485698,1.3049844497486238,1.2568609897112573,1.4107388458357342,1.425459036498132,1.8367066195464676,1.792714379762301,2.0982498983329965,1.4215838382694888,1.399293112580242,1.436739060110883,1.2991119864517873,1.2995750163907474,1.2072711697030396,1.2472826803491908,1.1983854663017681,1.3164642030992555,1.1689509096748167,1.1335209598166711,1.2379623901489274,1.078715500460902,1.149160295239993,1.0621757494594841,1.131740691583189,1.1724501460275059,1.3133744550836992,1.4329949892797345,1.724264082476421,1.5479513387027013,1.486010316250801,1.5224618057440602,1.6091579455111908,1.5551905621835336,1.472662254590132,1.73489999885879,1.803729391829664,1.6072623924452363,1.7494979578582885,1.9585658570412712,2.013783502548483,1.7761920584536504,1.8826226109066657,1.6696647352567664,1.6372292102951334,1.497674446666121,1.4639594720855629,1.4938326684889174,1.3485997591614334,1.30603208197434,1.2935373765921596,1.2540750700883065,1.1430696590805318,1.1982250312034184,1.2490586264270722,1.1169889432891154,1.0821520608518216,1.1909063523514194,1.3818393349787086,1.1470653203451144,1.1169892883865216,1.3634112591821093,1.3742476561291588,1.5166471352336026,1.1799027930494093,1.0907442311840763,1.0908515539732084,1.2698785486067563,1.2535596526549768,1.3196340780336668,1.2450336890506626,1.1272005998468069,1.0040551138212792,1.0180185984630803,1.0394804019717339,1.1152643001568612,1.218140242205756,1.3303778921695382,1.718942264575007,1.2757864582316976,1.3150563376929252,1.4689158270086669,1.5300551548909307,1.3026139245771353,1.4274550131776649,1.5476493366035435,1.7647790641036916,2.3698210394607946,2.9543293983310654],[1.2514730985170588,1.217484599644689,1.1863810167640085,0.9775508948363266,1.0346879022443767,1.0910330301655484,1.0097366842268953,1.0750745598712543,0.9591073823862849,0.86815304846277,0.8417104426157893,0.95340538671239,0.8887629373875747,0.7927783941883272,0.8501794840120792,0.8739196420213492,0.819371696224784,0.8024515963249682,0.7686736458498461,0.8451960597943111,0.8011969989950037,0.9249775092971495,0.8695420089903785,1.03137916906581,0.9562853533460964,0.8573826566513343,0.7752755714755082,0.8140478879824713,0.8407567539630918,0.9073628823885406,0.8618905022779444,0.9626801512484585,1.007872660928377,0.9569424128585651,0.9337594388161615,0.8914772413211716,0.9482612042776533,0.8812186172785884,0.8341077085138998,0.8804655761588012,0.9296168418634886,0.7764345155700663,0.7842772948252961,0.9993584797474855,1.9148764497534918,2.599120519683391,3.058306287823738,1.4728449649071225,1.3869118344897018,2.120303358999516,1.444006247909806,1.920422630295073,1.4640706971648207,1.5857957157211429,2.8929906413390563,1.162936311026699,1.296839142913515,1.5454577602052517,1.634558295321379,1.246376020683301,1.0685085104525514,0.9770960517201214,0.9387823994990199,0.9885084410869235,0.8443393611563131,0.8747864507229087,0.9362209810083258,0.8186157784102,0.9108015208741115,0.9058814123361282,1.0697447760531704,1.2989454623630374,1.0158893490852392,1.0434190868482536,0.8718282888331518,1.2454465780312305,0.864255773495827,0.8861148602154825,0.9123458175506116,0.9036056269777647,0.9585028596562916,1.092179643154719,1.1437760401045398,1.0248775007189528,1.0480606545092932,0.9746638392820655,0.8975480120650382,0.9962022221064736,0.8883776636683599,0.9630606670297317,0.8848140616213623,0.9626350408380936,0.90566198309325,0.9211843445129995,0.9110696419398214,0.9373531918810237,0.9670616769028285,0.9886951575424311,1.016922610321828,1.2140093020020213,1.0619790061928336,1.2447095360101317,1.0992255889722147,1.2205445932994219,1.2291620872569087,1.1845847896106936,1.4303372614024321,1.2903086858699397,1.275633375731878,1.2992792038083665,1.2089604561618768,1.0886561694491115,1.033686738263498,0.9579350852678699,0.8615843848442851,0.8146789333341595,0.8654117173465412,0.7721289821650072,0.7907427508056432,0.7406966910202345,0.7362914653281369,0.7538741129091633,0.7266235482960929,0.7656997795563453,0.8526369973503697,0.9058530054212712,1.1357222177832702,1.085225947150661,1.1811783967646083,1.1526205018244338,1.1767497617195186,1.2470238726082026,1.1852437204912665,1.177934098751945,1.1091877778039914,1.1191093905721365,1.2230482692023192,0.8769918812665282,1.0673177813956027,0.8062465949480317,0.7472048590821236,0.810920543228475,0.758003148916861,0.779593011066229,0.8103010945634935,0.8530349528579758,0.8487050769930925,0.9214701779762811,0.9972576988650597,1.0224241915176333,1.1385845841288131,1.1194931858013262,1.2399257759907607,1.5274278906805359,1.2837426258632032,1.102757196232466,1.0383351992552592,1.1290477533856025,1.0342840461416738,1.1147830649491777,0.9959531278238323,0.944851162935489,0.8673363261782238,0.9042899366650877,0.9849893072960212,1.0393944506006867,1.1370603620992985,1.4836319700564635,1.6689757399396825,1.3307570101726236,1.1980994849140403,0.9762607843157148,1.0177796205176433,1.0131305439049745,1.007693943131455,1.058735127324753,1.0373125627240485,1.2230827357450753,1.0411734895922362,1.0773414096358247,1.1963921627149796,1.0667799713132489,1.1048810089603782,1.1192877946550126,1.1157994431996325,1.0949266746223607,1.0623919582250085,1.1667808315894281,1.6386480971286088,1.242860700149721,1.4608656653085554,1.7812671197513055,1.4401479166192344,1.448897094832822,1.2447935748578522,1.2600178249393392,1.2324206713685288,1.2423095296022917,1.2379389393555964,1.2329832927533346,1.2680544458566658,1.2696922232732766,1.2241771451071493,1.2485364339455973,1.3251619424535743,1.3205701909507561,1.247156722292403,1.31721085764301,1.4868562978544704,1.3726998169314508,1.381287591971127,1.5886632815637474,1.6647751979509662,1.4654460856174325,1.5903015481880547,1.407916910583191,1.7538988863785634,1.4703886977217002,1.404895151048813,1.5172229255799439,1.5389097879761415,1.8504537863401738,1.9076045723797928,2.188131206881667,1.513354221753872,1.4688196373882985,1.4523164632189938,1.3525356634356465,1.4027110943020817,1.3101800296217998,1.355565069168632,1.3513118731074376,1.460667935889226,1.3412011211338315,1.3184902027400578,1.4244717373735665,1.3133359886459595,1.3782682607503867,1.2894973665764489,1.2687089348491547,1.2875508248474772,1.372397846912518,1.4730294487692073,1.7157160631823891,1.530414297839894,1.5096817962471418,1.5133340998916927,1.567243343313704,1.4851262958184819,1.459304393110142,1.6555006467293238,1.7136511584273844,1.5742679470593612,1.6945279179444266,1.8649440910282176,1.9459716761032446,1.7611092589546535,1.839769494492526,1.673362367983876,1.6297059798328148,1.5171984961049536,1.4946766089161134,1.5215054773039904,1.4254263178484414,1.3886001758574482,1.408206319508464,1.3898761115960017,1.3146684802591424,1.3597481121995647,1.426175387267668,1.311155608234455,1.3034627305122006,1.3614413878121219,1.4948623341584992,1.3835873217262153,1.3694976680836668,1.5948212592274982,1.5716611836140848,1.6546962436444406,1.3949367363361687,1.300199042485889,1.2838446226710722,1.48200335617299,1.4917776354669998,1.5536787291341232,1.4890851274241979,1.3816253824075257,1.1599875163076572,1.1951364450511965,1.054752546125481,1.2021594833715432,1.2798300703314283,1.3570118755132294,1.7179783582354442,1.3673554794040172,1.3407276407003086,1.4455717441888467,1.4887442683257577,1.2983747159951016,1.4598781340237186,1.469586692245174,1.4805608571625934,1.9930545302152787,2.64411825198292],[1.0712418774224268,1.0756062536498918,1.0846777119942863,0.8940430387154435,0.9244951781592656,0.9691506544401444,0.8936075682040863,0.9283344364894981,0.8025607668368423,0.7315457582402531,0.7022543095464032,0.814211992559418,0.750973967620185,0.6649451109534015,0.713808207697462,0.7324228292213167,0.6877225985584072,0.6728856260034735,0.6746397114326018,0.7249322777336468,0.7126047079289076,0.8831176562435884,0.812294331627544,0.9958984065805361,0.8948095209445937,0.7823097979050487,0.6807998968806498,0.7041666966626025,0.71559566319725,0.7660848274477656,0.7163403819062126,0.8159050322764191,0.8383022086371729,0.791918007809181,0.7814450900358559,0.7391417360711823,0.8116346009192864,0.7636935135982003,0.7286171782388511,0.7914590288759149,0.8472345758838016,0.6815195812793208,0.6891716661914888,0.9395034538615019,1.897328100285722,2.579184151457929,3.089958998950334,1.4800719731939165,1.3557588220550163,2.138574498530048,1.4510545583241266,1.880333987284822,1.4166787247530417,1.6115941710385382,2.8927580859032016,1.114962649517335,1.2028693864472222,1.5459148939676446,1.57564971913055,1.2212221409023911,0.9631484540829165,0.8570548961749611,0.8145401296048485,0.8815320633137791,0.7584939591020432,0.7605148879353978,0.8302020561144139,0.6875577540079664,0.7990957740325542,0.7798783655810437,0.9594091805750186,1.2049183487024344,0.891832203485857,0.9493557855652156,0.7505490843003662,1.182392234100296,0.7288052901159205,0.7392423396575581,0.777860428067085,0.7750362573289712,0.8271302725548513,1.0035878708557333,1.0279984871335348,0.9286377922872898,0.983335314270974,0.8647113180844219,0.7904617392596409,0.8870512675895806,0.7485311924721745,0.8254429413420696,0.7418237572325742,0.8462274281068456,0.7824973760960982,0.771626207978709,0.764320630056572,0.7896813527887637,0.8223521985249689,0.8312253128500334,0.8544379381681009,1.0470879482142141,0.9075660776690218,1.0797133828399499,0.95692422116339,1.0902012679213802,1.1191275683730926,1.0749733067700868,1.3032264327394518,1.1948772013912434,1.1804519783429723,1.1932911996719162,1.1084083091817454,0.9971047301389094,0.9263456234642904,0.8618508951722379,0.7458354874508628,0.7198307932411974,0.7691571816110665,0.7006706956805068,0.725150181553276,0.62665705706549,0.6360338407884842,0.6464466305357802,0.640303527460799,0.6681708150451121,0.748321823741709,0.8043743274454036,1.0436417311746409,1.0171918769619261,1.1348012279163282,1.0964345444205248,1.1379855388827274,1.2081092933516462,1.143100092261513,1.1224223527069586,1.0588817346665669,1.06893331268013,1.1513860789717847,0.8100101222149131,1.0212960023603603,0.7105068635469667,0.7112276184085118,0.7889758605388347,0.6807219563948765,0.6911268475180331,0.7221308628126712,0.743146631528939,0.7452407166161137,0.8084948671413904,0.8848184478211586,0.8973008399886401,1.009533372136743,0.9644886664678058,1.0647500364985045,1.3853261348975463,1.1265031024902739,0.9380765768051156,0.8835583943908384,0.9929946287125163,0.8962180455704643,1.0007955864497786,0.889573155996502,0.8351558422325035,0.7826506137772452,0.8129827753540202,0.9225720163929935,1.0190781574028578,1.103535209127119,1.467429285550959,1.652573829492047,1.2973740643144502,1.15794372237462,0.9155529485567504,0.9479669727067394,0.9202099716509886,0.9057631705715579,0.9503155531521097,0.9325143052736955,1.104810762314325,0.9346575075252113,0.9780590941105035,1.0882039385209377,0.9803122416562475,1.0439622187146318,1.0708830216418008,1.05648236157893,1.0333156636889644,0.9968226316497567,1.1432445832736802,1.632467929533602,1.2488597941415547,1.536650889048306,1.8273977725809185,1.451767401045449,1.4475346000380047,1.2250534718822348,1.2336938732755411,1.206340369018562,1.206269926120256,1.192957150850876,1.1902039110349665,1.1870942633271198,1.1682867440857791,1.1429118134131668,1.1783978487210507,1.2197021445691083,1.2080926070906681,1.1795428004185886,1.2353970298511232,1.366873816681582,1.2846545139257983,1.312158375915574,1.489339294675853,1.5612822768749626,1.4340123682916388,1.5493716456131181,1.3628956631216351,1.6575687846455212,1.421153745252246,1.3385480929083342,1.4055424292448024,1.41045070498038,1.7868020943136276,1.761589425001446,2.1058257162466467,1.3995449482812872,1.3353995190340382,1.3355604186215162,1.2410217822148408,1.2887485359498,1.2087617275450546,1.2705858468847309,1.288755099920606,1.403734408443008,1.2898923049314488,1.2728790824698548,1.3989043211443057,1.2732910113010163,1.376012202443953,1.2516798597354208,1.1891736108975612,1.2028888152927701,1.2659145981835827,1.358914155999837,1.5894822627507006,1.3751318878181182,1.3716139494474782,1.373839660987057,1.4023972845167663,1.3524269889731582,1.3163730775492806,1.481811798514375,1.5412700037012452,1.4392848276032693,1.5304017757642252,1.6818523524224143,1.794531395884259,1.6104880062583857,1.6622028738608483,1.526346804645765,1.4765068933047636,1.3739257582088544,1.3564677832529848,1.3806385833449932,1.3087831791117583,1.278392273036625,1.3045897775629522,1.2992927106631602,1.2368441989748167,1.2922875810185326,1.3987690455058877,1.2501090287001018,1.244314025501257,1.2930360941913046,1.4214783944523772,1.3643886110784613,1.3527991115922104,1.5360452212254585,1.540135434634619,1.6175537939128108,1.3578343748986648,1.2361701865747101,1.2339645769524896,1.421465687126363,1.4714262673274847,1.5523786844520804,1.4863308935861388,1.361050277974682,1.1055819128185846,1.1436672171133138,0.946643288395528,1.126849353094252,1.1772652110595687,1.2349312623081425,1.5905163583767004,1.2808354060499028,1.2192512664526827,1.294246636331215,1.3790807872368676,1.1668147471947794,1.347454061976331,1.3008512270224346,1.2859111678968171,1.7469140327408499,2.3149544288156085],[0.8575699570425803,0.8557946086690374,0.9125180914441711,0.6996119153763984,0.7164854055984328,0.7526018266097458,0.6831597177635098,0.703112602033456,0.5886303605963158,0.5159427209577797,0.5087159372641846,0.628048537058216,0.5372681443641503,0.47663267182729957,0.5343994730863649,0.5319101198488794,0.5051221530400651,0.47871482240662655,0.5381625347222547,0.5291344504255852,0.5570896377906733,0.7996389907848125,0.740680268237459,0.9363963756332869,0.7630183715164609,0.63278995519674,0.5086884632641339,0.5072462918119055,0.5215274689605265,0.549648399153141,0.5209120988819657,0.6165531185988014,0.6287128963111134,0.5768995158198861,0.5595452410700921,0.5136368990904818,0.5911798012586947,0.5693638154345221,0.5332112753478067,0.6061840189573865,0.7076534146062523,0.5133328240968319,0.5164827060346091,0.8765206270909324,1.9208579434602722,2.5853229518345424,3.1766347216228894,1.5255296940802472,1.3062097324801456,2.184210687204243,1.4753849962851184,1.7888392217988782,1.3495997878247594,1.6746574635597495,2.9314693615960814,1.0488164956418455,1.0277802035246766,1.5986257964664647,1.5499021700494184,1.2246095511766386,0.8818723539966764,0.7045311839773758,0.6328155413909236,0.7331801954576009,0.6062684060881856,0.5863728403597319,0.6900068907679757,0.5107598322736807,0.6596266278650494,0.6318511267409547,0.864146141202031,1.1157746489249665,0.7917013085178457,0.8563659151290013,0.5989000756545164,1.1341810032885604,0.5479618129865892,0.5397420345729829,0.572602839250827,0.5765063738626084,0.6342926340039342,0.8382799302196539,0.8799971248279657,0.7445209549787084,0.8196273595087472,0.6565740983355269,0.5865999168937973,0.698635247291385,0.53936460542846,0.6142581142749746,0.5356583396204019,0.6953757673674307,0.6181619475240745,0.5753936083351671,0.5670882229625229,0.6092504395858959,0.6387836561443928,0.6156458696881978,0.6368937653295264,0.8331312293860759,0.693400331930769,0.865909123260601,0.7391194245971684,0.8802988576390349,0.931911041861141,0.8979769086937237,1.0930900098572038,1.0332525975249764,1.0183403982940302,1.0135318568812166,0.9295552891215209,0.8130941781403627,0.7153807756385493,0.6521653355304653,0.5248662641573468,0.5148298454351039,0.5718464732070144,0.5402414138397351,0.6019719429444125,0.47765050665774544,0.5174299899442917,0.4876940239342615,0.4915582376040238,0.4801314582705589,0.5577444811676813,0.6104459747262547,0.8866646808428849,0.84635144620658,0.9894870924604076,0.9420033377485404,1.0205620369385981,1.0970169482664474,1.0183706908201342,0.9816502546547159,0.9242773017828629,0.9314923983116153,1.0163299518725533,0.6340618173771534,0.883091251404998,0.5345495534835085,0.5851448465649156,0.7325845821787,0.5248204009856213,0.5144356238023207,0.5318908136363857,0.5412819985615411,0.5476138473011685,0.6090038090372407,0.6723830710588146,0.6844486521637166,0.7946763962050463,0.7293776979884256,0.8555301076684977,1.2651569715536406,0.9863782653686753,0.7245267423285289,0.6632250563148505,0.7801248390879876,0.6800307229197395,0.8051884264130904,0.690853368658082,0.6242708399298551,0.5909272850100479,0.6203249961244908,0.762497943888406,0.9400256555387406,1.003017397556417,1.4089547503039235,1.5949972288407268,1.2002761576279763,1.0499024261283845,0.7559598097511502,0.7800422558266719,0.7394426710618325,0.7063807022523118,0.7479177552598955,0.7213926103864778,0.8868541408763408,0.7265240669707872,0.7836300954308894,0.9627988590222665,0.8095110863704738,0.9086960861721094,0.9525612523415958,0.91611607058205,0.8871030898411788,0.8413389789850336,1.0356917938254282,1.5929608039738243,1.1958857654549864,1.5414228661718912,1.8167890289821915,1.405524882643318,1.3937134694985716,1.16495354784647,1.189196725621998,1.1428660635004393,1.1187227538394926,1.104574293646096,1.0803527339355168,1.0719458986642538,1.0190754127293675,0.9980113251248355,1.0618672022272613,1.0983999738621815,1.0607177674034651,1.0498171189349566,1.1287862428001534,1.2464295004824186,1.1631589713472312,1.2254979509386639,1.4155801476950696,1.4610086156032156,1.3785105696196558,1.5298501428682643,1.3564589402105587,1.626696390032926,1.4101081708124235,1.3044522657483106,1.3731072250030703,1.3780503000830748,1.7858390179147912,1.741044423577628,2.0689917072031467,1.3334269935030032,1.2520371927241232,1.2379648994861772,1.1542623353320203,1.2101386629760251,1.1212608239024966,1.1953852081428726,1.2694620757143484,1.3762124540224447,1.2381287672753392,1.2063946966579637,1.4113957473430168,1.2528036081275034,1.3336149076216517,1.1741892668209395,1.084606962198233,1.0981187466013511,1.137808024527601,1.1870826109632535,1.4504017712589714,1.188861927612009,1.1926914629250676,1.217404383861171,1.2164446090004954,1.1866614818958094,1.159632877442963,1.3224841971468022,1.3677104154514226,1.2866181462670632,1.4030016657088993,1.5487047867153934,1.662750685406027,1.5070887370050545,1.5684810421274709,1.4364703602262643,1.3758789696969518,1.2480973259249846,1.263860941088731,1.3086397844980642,1.220074381706624,1.19564492918731,1.257398913046684,1.256400444607989,1.1653309558756806,1.2638407027028205,1.4218342010723446,1.2273706681578591,1.2062573215159336,1.3086454156805125,1.4564264477947158,1.3818104003800016,1.336442470493194,1.5441933386087967,1.5415808897877707,1.6064662644230223,1.2983027295835061,1.162797526717964,1.1289905726612126,1.2651966901345215,1.3677244869895853,1.4979697033701271,1.4314300564239433,1.2750555724314288,0.9905370491517351,1.0259261366824746,0.7679919357797299,0.9681750142936056,0.9990377509855968,1.0557240143416937,1.4029464604593924,1.1127526131423682,1.036532139258148,1.1022390084892557,1.231202369726508,0.9630373364829077,1.1791527168787643,1.1153977163059206,1.1331665791340602,1.5883025919775347,2.127790038295093],[0.8565322131395953,0.8476069734561279,0.9577883370151152,0.6708495884237397,0.7042401343600869,0.7388261348270647,0.6763498049882569,0.7029675450250129,0.5610843022821437,0.49007004043258157,0.496786898604596,0.6157137722578571,0.5283010444755178,0.47978652081454454,0.5145562598061765,0.528623514707985,0.5114945461152689,0.504521583907342,0.5837284098609195,0.5737430523019614,0.6387900017891145,0.8625042748175641,0.8494062338490989,1.0324638058490057,0.8530916315772509,0.7104704150900153,0.5647226416205312,0.5383162853939535,0.5436970680388169,0.549937450570448,0.5138891800679096,0.6004644249606629,0.6102313609731891,0.5506503519651827,0.5535640796206612,0.5203184524923425,0.6125251234972258,0.5989948767401682,0.5604640251668012,0.6524899830821138,0.7023027250214072,0.5546178040618864,0.546083016328987,0.9202309852878106,1.937879956457572,2.5614668772474727,3.2318808247262933,1.597447035223318,1.3138134419049494,2.233458134268802,1.5655410609196772,1.8029681250991825,1.418816377095881,1.833461765872497,3.0809717228520963,1.1084195707387197,0.958571767759102,1.7272407192459216,1.6265024406337607,1.3277689470499148,0.9190418235849431,0.707230895407675,0.6564292256597256,0.7778853123058995,0.6570280257414505,0.6292099171014173,0.7528655626424134,0.539086065411066,0.6839395897618598,0.6638775717655189,0.886912866407233,1.1431976946237599,0.812268530096401,0.8989444664072348,0.622870208785099,1.0879994100944637,0.5687325292407385,0.5326784200787101,0.5826260070400913,0.6171067162368807,0.6507380012293518,0.865288538882336,0.9431819518595683,0.8053201127455645,0.8589094609441141,0.6851585879721891,0.5963027339253225,0.7263168972208373,0.5643474654507242,0.6046645998973226,0.5153027862188794,0.6820572443058333,0.6106397125666009,0.5477443012335583,0.5392981953581166,0.5585605218129079,0.5914727360841747,0.5751342154701047,0.6173276073069087,0.8296489048646037,0.7080717089647581,0.8873837214665125,0.774295295804419,0.9310911570512713,0.9880126542330518,0.9592573757039276,1.135779663867246,1.096238969557395,1.0787443622362591,1.0747742025646108,0.9822410065329474,0.8560398804666325,0.738052748155726,0.6889824638683502,0.5229640406602707,0.5342246932649114,0.5998205435538657,0.5863433971016476,0.6614634000765123,0.5119957478871963,0.5753429601758367,0.5369374004356915,0.5478665441571813,0.508342793406467,0.5493231074725884,0.6181292125659921,0.908886016372916,0.909688145663784,1.0872894967383362,1.0295071514080725,1.1306668632151673,1.2138166573477116,1.1165195155166323,1.072879103445153,1.0118044227032499,1.0173242062168928,1.082932010351822,0.6729556052846497,0.8648870342924238,0.5463257514287804,0.6273475835919237,0.8042801378296174,0.5635483111679066,0.537280347477705,0.5676925534094205,0.5790834611847231,0.5885420265402364,0.6529904404904431,0.7037134029950508,0.6932506218185979,0.8224623597115432,0.7463190897876942,0.8921092364258599,1.3006841260778286,1.0253348115435075,0.7718972445337485,0.688003228916953,0.8129303455950545,0.6999547682015766,0.8568277637314508,0.7414465548345031,0.6600710193511887,0.6398007777035546,0.6731428720505519,0.8360666854839567,1.0176391758117245,1.0665392507183542,1.4878014593227957,1.6582450494467698,1.23499351903274,1.0941631610437508,0.8030013742042403,0.8365609476863146,0.7875763565063655,0.7479535675968135,0.791278291923811,0.747986091510606,0.8857345675691597,0.7597609168658213,0.8351402862228837,1.0242625246760495,0.8798492040081471,1.0009422789475804,1.0519972711472616,0.9729856799243236,0.9416346826835288,0.8734947143187994,1.0861127524287775,1.5745252911877523,1.2640329533426609,1.6118228696076193,1.874199929273969,1.5181998014752904,1.5211362173362195,1.317419966584237,1.3527334603307537,1.2831933214782854,1.2613496037461212,1.247354690397268,1.2160898232958672,1.219763478698558,1.1473067755666209,1.1182054305590299,1.2062677786865632,1.2498645969491733,1.1872746404427983,1.1773373591755003,1.2802197372050235,1.3735685592817017,1.2862716264404042,1.384199672003729,1.5625007212527007,1.5651024696078886,1.5321660303914357,1.7344335345472202,1.5862724308532135,1.801303885664288,1.5636166191060161,1.4842735776566212,1.562362021370733,1.5578450873068288,1.9426551537635262,1.8668050147935789,2.138619049100396,1.478385816041713,1.4093309188465322,1.3938668802288599,1.3347849537925314,1.3646056884387754,1.284511637093028,1.3675918795658877,1.4545617648112625,1.526130245913916,1.3991243401203894,1.3593224606594967,1.600361331556273,1.4227523904084645,1.4538423489638013,1.3119168552200677,1.2425468376348263,1.257754169913025,1.2790634538434569,1.283967446138409,1.528882366404591,1.2553156963089565,1.2741384456126326,1.3187742017080957,1.276503269769733,1.270434609540499,1.2650868634123624,1.3930694962481165,1.3968987222676814,1.359524438772988,1.5030509207808136,1.6004071062835397,1.682579942187005,1.6025056408452278,1.688487308585116,1.5835508655041601,1.523625678837492,1.3789768823805788,1.4279249864394652,1.4766615605019975,1.391437897687777,1.3750263529076996,1.4431872072371075,1.4421700993879694,1.3371868591196185,1.4387904160303013,1.5845475926305925,1.3973260605957112,1.3642242373872704,1.49074029009955,1.6083424121893224,1.5138896585156534,1.4534025053249993,1.6379984443140965,1.6163520450105935,1.676170674124903,1.4023572462638503,1.3133051631949697,1.2735722413838484,1.3089378856518283,1.4210502353991126,1.5690244524141401,1.511134574014871,1.3851671526941094,1.0942812394509027,1.1465349047998155,0.8281924668463774,1.057036149273132,1.070440092139179,1.1397490658063818,1.3592031879451025,1.152119750946515,1.0997275659956953,1.1256411476761183,1.2472649631330333,0.9674479715864366,1.2282895703311738,1.1241635450584604,1.1474648656498692,1.4975203033813382,2.059761196076821],[0.6696139196010005,0.6478922055408236,0.7718117495427231,0.6907207902800433,0.6855776511946481,0.7488590123809014,0.7710266102371408,0.7673347966342766,0.7341511788754886,0.724269572841062,0.7429672369812961,0.8051971243030154,0.7413748443880617,0.7459682885761979,0.7616535311180791,0.7491657586037416,0.7472704278804241,0.7573737825283678,0.7948946874135775,0.7974852224053777,0.8141927952608301,0.9542342471805683,0.9859800460943535,1.1029906925477526,1.0299546416643686,0.887787626042392,0.7570849812611384,0.7556680117540461,0.7447651992698664,0.7345563809640798,0.758397654954846,0.7614194913620811,0.7871031269134398,0.7689602130331309,0.7488996874061177,0.7482169633450897,0.7532493667479966,0.763132601655999,0.7130400834938189,0.7658894819579718,0.7668161382928811,0.7160171818172184,0.7017521114363587,1.0057191009425464,1.9636401037812816,2.586476497128751,3.227437208670222,1.6267666080454386,1.3788331815234498,2.255549819521411,1.616560962649256,1.8790435881557537,1.4883860926650698,1.895157307891034,3.1406499030455644,1.1874934873117107,1.0178400937846022,1.8067120611652328,1.7124964043318425,1.4197311374613462,1.0683184352048567,0.852228778060235,0.8311880129835049,0.9647224856700255,0.8031770404040502,0.8005586293289915,0.9576126367273592,0.793458626195372,0.9252307342717183,0.9079168795108511,1.1338338800910654,1.3035067987355942,1.024865910919782,1.0954062598331082,0.8388283356522684,1.1062128125583517,0.7901841727260652,0.7622801123123232,0.7631571570603815,0.7596061788537999,0.7661113608154029,0.9467074975732087,0.9824553452722822,0.8400555245345155,0.9052778264133233,0.7783881546596143,0.7338780093521367,0.8271403272331902,0.7618812077626754,0.8135795480825311,0.7604964068151467,0.8597546903523808,0.8492992648200514,0.7693404679899738,0.765547922011516,0.78534500465332,0.8090911818726487,0.7675569004691447,0.7778814847437541,0.9073678763554973,0.8106348989956861,0.9335581207007727,0.8236756269014518,0.9118260739179742,0.9602151519195438,0.9101508050586478,1.0273238342023256,0.9533257200954892,0.9293836551540774,0.9582071871337202,0.8915645308753622,0.855099118134904,0.8155463032830008,0.804199951907164,0.7251355909222307,0.7586531712628801,0.7895200586756284,0.7951532757618577,0.8520936991233479,0.7898126442325107,0.8445584306672856,0.8046233105363007,0.802774900969041,0.7500920316699858,0.7294064587098069,0.7253265782550059,0.9131666022524155,0.9136208769991535,1.040098599912999,0.9670328616966568,1.0303873858295638,1.0684103120349107,1.0120166539920408,0.9860222198775951,0.965071195665686,1.0360358121687825,1.0894301433508429,0.7550443682563834,0.9771344294898572,0.7129674377905684,0.7655614290445435,0.9300743217633284,0.7492092458210903,0.7159453945891185,0.7341460270183573,0.7546676999369464,0.7602902123752233,0.7886869587513214,0.7911560748142854,0.7961358828987632,0.8340099530767429,0.7903696192288319,0.880263143903181,1.3287767829153478,1.1020471445152473,0.8281245147124112,0.7820910751110519,0.8303593794043376,0.7985137609592026,0.864307736046636,0.7909073813368068,0.7638813166410858,0.760183397721772,0.7739038112946869,0.895773148011348,1.0689402453574768,1.0838156485335777,1.5068651303444374,1.64924329352133,1.2874396469492861,1.1064759992339166,0.8585821699231402,0.8607866237848747,0.8144898833023798,0.7877172539512654,0.8081036906728152,0.8338521589001417,0.9208469525086583,0.8062260881985197,0.8353278535545228,1.041899111952743,0.8502246459440264,0.937865562778155,0.9790119134321437,0.9384584461546865,0.9510285505811505,0.9277389468451916,1.084293177225099,1.6010163503583648,1.2415048962549509,1.5823789572516433,1.856063370860965,1.467376244638338,1.450428412146984,1.2035118659043194,1.200472014568232,1.1382994859101747,1.0933848982220922,1.0554641280165966,1.0348499510248204,0.9491277958824542,0.8781410378260688,0.902362844481931,0.9461534179597929,0.9373082168747295,0.9007153756480937,0.9339007201389756,0.971372426708352,1.0320108336759506,1.013492333141834,1.0909126059577312,1.2260565740954439,1.2629015383518754,1.3326561010077955,1.4745175897958125,1.363515976488552,1.453340098503964,1.2594990099041776,1.1549889655741399,1.2174967314513252,1.2357160520928794,1.6397398594492039,1.4442274777370834,1.796901797917342,1.1498675137930399,1.0661192109412492,1.0650670909474231,1.0375694762943914,1.095572749336645,0.9835567224468298,1.0792049720487462,1.1918712606458164,1.2654791155327398,1.1546817675591414,1.1709134990792993,1.37781286169464,1.2211861714956842,1.2987504753689874,1.0886357500358002,1.0217523453278448,0.9890255436083301,0.9912566728332268,1.0121911825450811,1.198003071863167,0.9831827977960027,1.0003892801750713,0.9906969146704945,0.9690913602195009,0.9954453655584243,0.9569463101678611,1.0597558332587895,1.097929835014264,1.038896774137654,1.1321978307928922,1.2667516637492098,1.4229432738551222,1.2548822910215032,1.2788638209586936,1.194684751078925,1.1373861636159939,1.018865401553226,1.052682071855248,1.1043959085856898,1.0301796886980148,1.0227650178097336,1.0920334385850456,1.0959374996305664,1.01443473278482,1.1092329678974984,1.3152284249089898,1.102930197134679,1.127797807243008,1.2323183830198967,1.4316400200869979,1.2596719615201744,1.1919514768309112,1.3296309563441773,1.3617300070146092,1.370344636399003,1.1529790653820766,1.069003056510835,1.0664873805486836,1.1140994430721316,1.2487135417494977,1.3954953106059895,1.3582467915256642,1.182351471281968,0.9149012621062342,0.9850670080262997,0.7175454228965569,0.9067643283615934,0.8926285435346885,0.8800430099451481,1.2208199302248672,1.0345312494544048,0.8514270276257342,0.8770131865748518,1.1837580738907465,0.823141959310557,0.9983345199241279,0.8452514981536646,1.0409295872182949,1.346175573073987,1.8437884704392302],[0.6372402753937405,0.588221964010486,0.7126737812937516,0.5478915313120051,0.5715865177459929,0.597719942579109,0.5847603900623591,0.5986381228598402,0.5390651563108758,0.4773804146838636,0.49400306368037994,0.5873423408251548,0.49728345469694746,0.48311570220282074,0.5292735558609436,0.5120989022552502,0.48924553194336434,0.4996901456051125,0.5859989770516131,0.5768862295364228,0.6734049635164306,0.8855374603950493,0.8579243020581603,1.051255340150215,0.8532942613821881,0.7207574583524514,0.5464241953843829,0.5193300972807414,0.5237657726534902,0.5014015871702812,0.4940512987970926,0.5487118442337914,0.5751711587294419,0.5452835893041258,0.5314275077440945,0.49018717498935477,0.5399871101804827,0.5392916053248402,0.5013826199840096,0.6140667462067118,0.634161754081297,0.5272378879401991,0.5271327299583014,0.9997742178614881,2.0454481013469534,2.6802209834375423,3.428954973209554,1.7911780686921157,1.431517676795567,2.4265450618643674,1.7677101104370327,1.9178459726121677,1.5711566141655,2.051000323676695,3.1400025378877583,1.0894051686063608,0.9000664447459436,1.82738047229178,1.6193154013703321,1.3891220485562363,0.9391967071713327,0.6844522165914106,0.6297856676885941,0.7811159722935803,0.6556131185800065,0.6354427012446107,0.7927012484489856,0.5348863181518981,0.7039272280299406,0.6706294890269959,0.9243327348919631,1.1757162709355988,0.7891807759380229,0.9036620862666492,0.6512765858779084,1.1077375154885052,0.557390453277984,0.511497246095776,0.55569632143138,0.5607308899892715,0.5741876218780411,0.8092069210434154,0.823134609776741,0.716576277014145,0.7803912047325582,0.573303093686863,0.5421000987391134,0.6301054549665971,0.5282610676097204,0.5829837157699655,0.5046398034051348,0.6951408608075407,0.5917733998816045,0.5191117450852387,0.5227932614782768,0.5708069699459701,0.6436117935326429,0.5541192922624868,0.5764170698485548,0.7582278681103846,0.6134843857992814,0.8054934160399718,0.6435546321550216,0.7818480036993255,0.8343872730757417,0.7991884437268986,0.9230889932800767,0.9225234867366103,0.8823365830010381,0.8770308755250572,0.797772936370834,0.7351603176207077,0.6436514213816527,0.6472419966456342,0.4955202256114463,0.518098568910968,0.5806021097213427,0.570503379720551,0.6546762335023446,0.5253001213358985,0.5858543345336924,0.5478942903516005,0.5281987845614339,0.48419318921502497,0.5195444682727113,0.5757236999072883,0.8270458906310817,0.8191795645580968,0.9530570753394937,0.8989763742732224,0.991551710473268,1.0325537084342309,0.994141459180186,0.9376153756721507,0.9095095536230441,0.9878633502161321,1.0874488897713825,0.6726300896221902,0.804857999038608,0.5751959777603508,0.6156889391489668,0.8065452426955065,0.5291599029099926,0.5044643670378012,0.5214102807671375,0.5075766747946965,0.5164725427443646,0.5727675386776961,0.6052093222263286,0.6140362318100971,0.7175831102744307,0.6498486522933488,0.800235893705226,1.2563586942913054,1.0018726480338842,0.6619287317257059,0.6077847246527578,0.6991329579360157,0.5938827716502444,0.6965672691128235,0.6480181905306556,0.582238271574697,0.5798589370808667,0.6104944743424489,0.7916337955239028,1.0163044447595602,1.0354027274703066,1.4851743788241218,1.62032554464344,1.212649811637647,1.0326311682601328,0.786901544365563,0.7744752201130356,0.7054413828130787,0.6402720415684231,0.6581026526255889,0.6377186195788682,0.7613453421835239,0.6446649078156295,0.699634672939323,0.977877687635634,0.7681534827635976,0.8943844016360091,0.9355729317139667,0.8717092145122791,0.8895758027117803,0.8375732422585735,1.083352972756746,1.5741122761639152,1.2822086491052522,1.6729804243719446,1.938241478946311,1.5318150009780813,1.5077975206477783,1.2595770620442113,1.2804341110681046,1.1724332504372625,1.1283279759969287,1.076966754285503,0.9978192968517532,0.9397729799107761,0.8329002287261936,0.838556074538739,0.9109469976306708,0.908391508962022,0.8568856238516905,0.8932758023338925,0.9448911889913129,0.9980896005345019,0.9943268432624505,1.0872955775137862,1.2173031179840432,1.2510406862080596,1.3333080641855133,1.4856818941125567,1.397921389917004,1.441683906974157,1.2832421180953688,1.1643649139009637,1.2204333925001856,1.2663828969553175,1.6808667720391481,1.474456734222353,1.7667397819486212,1.1513366514000647,1.0717847070512632,1.0550943309927803,1.0765329178529603,1.1682445589226078,1.0119144081092553,1.1122544720383485,1.2659082361690088,1.3184718250314225,1.184375437923653,1.2159556892639978,1.4490424318552013,1.2882161039082816,1.3558766767082577,1.1169956803435857,1.045700385745402,1.0132296387669788,0.9690671984732988,1.0006464195060245,1.14398379551697,0.9542159965824367,0.9662846754152307,0.9539592454723756,0.9028093660502439,0.9245784653968504,0.895561245903127,0.9944494487370114,1.0300493894317453,0.9903818149253991,1.0901393797546055,1.2250834197845952,1.3863286199221707,1.224834182629691,1.2485274194514242,1.1689764603170887,1.101695935420676,0.9818589477053804,1.0464848871330712,1.0992145155896287,1.0216985796259008,1.0268783986312746,1.1164310976657381,1.1182309688756786,1.0425644922157302,1.1816739962985507,1.3799376963262622,1.1578053660114633,1.179878999689685,1.3322020799254428,1.573072016614197,1.3757852833055182,1.2378651782355927,1.4544580552181798,1.4349816657525893,1.3970115149214262,1.1647618495506114,1.063335596656036,1.0717092094310734,1.0597754494786331,1.1240711718952354,1.3054731790772502,1.2738217458016388,1.1216108768960444,0.8723461634551887,0.9474297137261631,0.6747132059914239,0.8488360550744806,0.8263189647170723,0.8074718127653259,1.178812138711197,0.9609722624526557,0.7806235691456049,0.7959154572342484,1.1509246532319868,0.7234925707203639,0.9385562118468692,0.7425523855016489,0.9759417649467382,1.328672353405232,1.7996699448050055],[0.5688054095696179,0.5466836033330593,0.7058238080471321,0.5530980132831333,0.6116182213505392,0.5978029454706018,0.5829465766007041,0.6056089033350288,0.5364556701292241,0.48106538195717585,0.48790757043088345,0.5856882602585265,0.49603112451038445,0.4673858588110025,0.512573079064773,0.5111651736900443,0.48651819104641947,0.4945790923756809,0.5596360549867857,0.5707320299888992,0.6592922528746678,0.8798982877934177,0.8521582668740463,1.026400731421537,0.8603182474275363,0.7040438942469478,0.5534932989982484,0.5303050056747041,0.5446203620311382,0.5141142328442768,0.49867141354079475,0.5601443925315527,0.5874209412514944,0.5509323338008087,0.548434191994499,0.502935237380902,0.5671038774452094,0.5740893500724106,0.5373001660056569,0.6616938194002754,0.6449777445997078,0.5408704292976186,0.543676205694748,1.0184035459582297,2.0033871636012885,2.6319067403136054,3.427425662814932,1.8332591639316813,1.469843092896215,2.47592969356131,1.860435697228207,1.9690252766410947,1.6548423792584874,2.1873842224236766,3.2526849729923795,1.116391920138729,0.8792155397204265,1.92551600622741,1.6744876516294929,1.4422799239898472,0.9477077911920194,0.6691169392262794,0.6092112326891836,0.7424944495502922,0.6592582701744181,0.6172171827535868,0.7687264803417758,0.5285735525130956,0.6559525737193475,0.6546583502877119,0.8867644076725945,1.1628538219069775,0.7595638328086898,0.8648028816059958,0.6355335034272642,1.0501957183212398,0.553014641647087,0.513291190427833,0.5718777816192662,0.5785832897147118,0.6019009929651906,0.8424230189513876,0.8314492966399711,0.7597813727180897,0.8205496122094323,0.6051443591563017,0.5695886131604121,0.6632404662915422,0.5409024930677666,0.5946977108579676,0.5005386597554792,0.6702513251579297,0.5859547891725317,0.5099824019622603,0.51615120425844,0.5587418477992632,0.6298784957744886,0.5599841523270083,0.5825104720192908,0.7450075154882603,0.6257954242079242,0.8044180753549088,0.666011981282874,0.7848079553243394,0.8387711803232023,0.8063177979743126,0.8946697496572018,0.9320084794204405,0.8731924354877849,0.8732826315234532,0.7930273642428651,0.7579758472001296,0.6644624370611474,0.6774485911710885,0.5084539386051111,0.5301930621022662,0.5834242782738338,0.5719787990887626,0.6402014025144552,0.5007715391268132,0.5552069533227842,0.5364062262734456,0.5129850436687579,0.48119537281061264,0.5237698848624642,0.5959540789703959,0.8731487450003785,0.8437840830813479,0.9600136702409755,0.9023485420449215,1.0040722536448292,1.0304752355042877,1.0108726777245738,0.9404532922888441,0.9344813962849261,1.0068754702570157,1.134733467804704,0.6946845888455694,0.7481396554006864,0.5808027524906033,0.6314490406727042,0.8268724407518027,0.5471632708295495,0.5281823579148649,0.5482155562685418,0.5369206662042549,0.5468206700001638,0.6040199875527049,0.635673832777131,0.6191567998454695,0.7338317553221475,0.6447259177152164,0.8056322583085609,1.2251812824783128,0.9733979372394955,0.6640465645665184,0.6118217734436183,0.7003659333954193,0.62103855902458,0.7210997525294871,0.6792102726656771,0.618343685748413,0.6121266309581402,0.6496965242937864,0.8216778325176435,1.024934029780167,1.0474070397972755,1.5021681342165336,1.6126959321231285,1.202937603066142,1.0231252586723618,0.7966858212439215,0.7930317889886547,0.7304181241597402,0.6726495389920606,0.6844009498769541,0.6630774089934185,0.7686994104971121,0.6825548918407929,0.7178716739665055,0.9941112695064325,0.7827506728555089,0.9079860561855913,0.9626626026189213,0.9017196998423329,0.928691003899883,0.851694385157119,1.1099246294120173,1.5529585739027312,1.3029288275058453,1.7174918356115976,1.9731176793139293,1.5690224861028375,1.5478485749306952,1.312163268902794,1.3526238894362361,1.2213352790768461,1.1490921096914364,1.0657879757326245,1.0092596452856757,0.9080921668784068,0.8054602418405415,0.8223226119073515,0.858114128609987,0.8246608305540624,0.7813688932627656,0.8135217998009943,0.8420830481731705,0.8752426468301994,0.9151936588994588,1.0043907648954884,1.1029838118020436,1.1412805715851064,1.2667758676703262,1.4061306098631754,1.33334824773736,1.2802400858007756,1.1524392399940433,1.0355425180358402,1.0797008865081077,1.1374893050468904,1.5300484262486367,1.3300478315046167,1.6071078805592143,1.0846483577485595,1.01521546074595,0.9999096927779406,1.0510780676221199,1.1303908119404842,0.9599745284124463,1.0713520519476178,1.221828343511627,1.2530478161301808,1.1450350898138466,1.2425037207844791,1.4478004183003248,1.2730598684492602,1.3716761944636207,1.0889394771945475,1.0535725969919367,0.9964746070456747,0.9255016313505612,0.9715269873710743,1.0580876431518875,0.9069765820291991,0.9225998389684941,0.8695131059997306,0.8172813778448137,0.8605240317507976,0.7975779592623233,0.867258439614345,0.898358968154544,0.8708769132782519,0.9336487435786911,1.050005604229108,1.2366703831834132,1.0716926746534075,1.0846292670261037,1.02128988596954,0.9470672535875343,0.8622755487689436,0.9358668717843227,0.9582571957199164,0.9052778794772809,0.9232116826767313,1.0112282803521762,1.0103861900055402,0.9467877490415504,1.0980973374919798,1.275022403325544,1.0553317122202204,1.1249598746754166,1.241213692706647,1.5020365719000528,1.2898546418118286,1.1086259439028425,1.3679195799599568,1.335068554690142,1.2305247158539727,1.0668628043856454,0.9613143759749411,1.0230682522846886,1.032129575989925,0.970961764052424,1.1318482439581272,1.1652967672061367,1.03678963581251,0.8393394234342483,0.9458798979421973,0.6871767194698323,0.8368901217675,0.8053723548011075,0.7572268377267998,1.0763043168489674,0.9268245638875674,0.7143916365978322,0.7289228312680749,1.1365711120934494,0.6924782704305463,0.9479276921676872,0.6888473828223434,1.067851908256007,1.2796483169828399,1.7724093248987345],[0.47507076936124515,0.4806705909265292,0.6520049502466638,0.5576626823220386,0.5729884498457131,0.580072501906442,0.5789957429014795,0.589826013053059,0.5590950238156035,0.523711465891661,0.5332151944956203,0.6024139477407205,0.5405620613470222,0.5301996977234034,0.5919183123649694,0.5600535055490476,0.531720352655794,0.5538213769651715,0.6357395514534099,0.6499932509650496,0.7432533802649474,0.9748331421557184,0.9190964563877072,1.118680227085413,0.8999518115376526,0.7803961626438494,0.6319325004974905,0.5879782010925366,0.5739907230868403,0.5631409295448608,0.5582309143433573,0.5760010385691252,0.606925187932607,0.599788367199066,0.5871107146836589,0.5671060463480418,0.5947120306527625,0.6000046351032031,0.5719352643053622,0.6253583230499201,0.7415425525420853,0.6309408144383274,0.6310894285705673,1.0909550457549388,2.13357734257775,2.7711863745653016,3.5124796109919756,1.89411060774738,1.5034808872245256,2.5212325388363968,1.8695545632191368,1.9290229104829457,1.6462585476587381,2.1996142112316597,3.1051734975418523,1.1472369822477566,0.9425861767296947,1.9174774948607847,1.6268128983492998,1.4263105071676927,0.9726435248688916,0.712809305270287,0.6868374513263005,0.827917905704042,0.725787843596064,0.7000297696740462,0.8424439928731913,0.5832783773501766,0.7060633044614918,0.6967542600637293,0.9168591811530642,1.1919075348956418,0.8060405972453334,0.9268336117064236,0.6807714337839155,1.131467028280341,0.6021311679123342,0.5660709059786005,0.6223909081895637,0.6581060678700413,0.6347930527945586,0.8226003577131588,0.8486350871264192,0.7644993191005303,0.8571827869977059,0.6191155249074114,0.622883925903208,0.7030303502234037,0.6014151500965912,0.6384128442025007,0.569523704520473,0.7502991091682834,0.6625076585194994,0.585173484045922,0.5831440866676669,0.6220243168128942,0.6955256520732923,0.5906909826626445,0.5900653857477051,0.7300145279228373,0.633533720846594,0.7517903145964985,0.6344081096901216,0.7480178337697373,0.7466025070031073,0.7641288944125315,0.7815779674355974,0.8739068310082168,0.8212074980071858,0.7933817891847659,0.7050795485912362,0.7102522932930403,0.6463196583962943,0.673287680714542,0.5519260004348099,0.5964085454221932,0.6350824423021801,0.6287758999044284,0.7015795266544476,0.5739932979901395,0.6241888458333283,0.5882142534684227,0.5729454313247684,0.541262132618684,0.5726319189564429,0.621297820819328,0.7675910008282263,0.7739686136548789,0.8593954538035736,0.8056881269710388,0.9117958305863024,0.9170366211732404,0.9114235575894836,0.8384126157081471,0.856297491146421,0.9191613105451353,1.0682697966272463,0.6790845861543032,0.8502754053155482,0.5815679055398163,0.6225714984590432,0.8218750662150103,0.5894534837777888,0.5671046577489972,0.5814826432579581,0.5677077506656161,0.5721368173528988,0.612789551898532,0.6253775695973087,0.6190673994813751,0.7000988067553636,0.6298416502717682,0.759598148059798,1.23946218685495,1.002743049503138,0.6333492435471597,0.5952607720556252,0.6732793899879956,0.610634183006015,0.6932165406816408,0.6528979153208951,0.6115263255704452,0.6078149735973049,0.6229584753674919,0.7565463736480118,0.9410791101776144,0.961526262338192,1.3811997687449542,1.5137858031670712,1.1519963390064638,0.9549751502459346,0.7340612845948238,0.7299853607929694,0.6767604538218587,0.6297700104343308,0.6329639636397638,0.6482935802513189,0.7367350136703509,0.6397328438228929,0.6420560929013869,0.9339582731666989,0.6995937693653164,0.7996975834293427,0.8650667136833231,0.817778554429959,0.8615008713392052,0.80110927099455,1.0678255742177487,1.5454538246497738,1.3009799666093886,1.7204175695601218,2.0679378262404455,1.5309008082284075,1.4860480171618429,1.2162290690657966,1.2350639226461497,1.1182158044341775,1.0246088701613807,0.917628089996077,0.919240382048589,0.7613830114196354,0.6736396205773852,0.7173170876234823,0.6983297046602926,0.6576284476391175,0.6535449863573337,0.6752302063562236,0.6919750019841431,0.7451991793203423,0.8244440800502469,0.8912068026753588,0.9870786801422579,1.063566477168702,1.1661746014846586,1.2899331156060614,1.2140607134048127,1.1471912420675887,1.0393308387085731,0.8936691893198573,0.9360735758862995,0.9673458364844405,1.3769430513544567,1.1546145207209273,1.5041480619319847,0.9024724685910149,0.8249786878332884,0.8368942449589413,0.8691376703420872,0.9396147835060282,0.7832017434228117,0.892922572228531,1.0551179777109776,1.0757245789788006,0.9747196442398759,1.1481562479555443,1.2942385161842096,1.113613002643888,1.284515582590304,0.9311798086419725,0.9180433819659628,0.8459702380908634,0.7701372866509584,0.8270150755898631,0.8889481960832608,0.7896656144715158,0.7717581228902731,0.7115573030266278,0.7242125128665202,0.7925761772959651,0.6627752890721846,0.7628557854558601,0.8493975347217227,0.7830477824885027,0.8215656776918068,0.978284313401158,1.1726665794689628,0.987331245027145,0.984437905532794,0.8845565882008624,0.7890195705905136,0.6877477443001652,0.7444640191177925,0.7733111330001261,0.7314505659824349,0.734941660453271,0.821298573377929,0.8310718931797175,0.7785904330055811,0.9172243537417131,1.1208762898297633,0.9084723035260239,0.9846969435147593,1.0932297481170201,1.4248144950337316,1.190970081437033,0.9952350966627888,1.295023642505798,1.3049302224702548,1.153337454135396,0.975607345533261,0.8351863051289304,0.8966250111483612,0.893366404071432,0.8194709813603405,0.9901487910659462,1.0617673694530203,0.9102917047348604,0.7351732495638426,0.8337953335875232,0.6197575500231847,0.7571566848323795,0.7575094251811806,0.6796478880930313,1.1716459180864967,0.8931760549769604,0.6397358108490709,0.6747323821933439,1.1368845383426958,0.6193050987659993,0.8579521322545616,0.5888535027872904,1.087206274979559,1.4356742099527349,2.0188948196051424],[0.4772191225517953,0.4568972439959172,0.6154113367572753,0.46960101970332835,0.5017085074115484,0.49925983778912225,0.5030458586669413,0.5181406976567874,0.5102439274388917,0.4775331690921462,0.4938298430926344,0.5519201843420966,0.49614554821032214,0.510570374245714,0.5846949876080003,0.5400384603008485,0.5388990017255715,0.5866935000674134,0.6976794032793587,0.7045408943027452,0.8280074685768454,1.0541819640659382,1.0162191282463975,1.2210124279863417,0.9602348421197213,0.8425842698464219,0.6957221825351415,0.6146760744560398,0.5878459081203783,0.5409644765343655,0.5762994182424498,0.541032639850485,0.5702539558945263,0.5823762885718365,0.5753990956317024,0.5785961111930601,0.5895915343621818,0.6299180681687729,0.6236027938501216,0.7327887662578131,0.784548474648988,0.7338182045065051,0.7623273610481781,1.303264140798441,2.3116492309683685,2.901938513214512,3.7929157271529896,2.219675510334975,1.714993102507455,2.822880352735776,2.2529821209524434,2.234478283000859,2.0061662686607344,2.5701088961185903,3.29631131979691,1.2509086416116426,1.0101713842441615,2.135760009579737,1.7397601193731598,1.6427700710546977,1.0938356080222862,0.7923026544069438,0.7383812706623678,0.9095712070270945,0.8150375725594452,0.7638769036341698,0.9230535019813466,0.6457872191233779,0.7566273586741744,0.7273724766800787,0.9534021938077422,1.2819741915369327,0.8485766863826605,1.028400448215171,0.7047440122762583,1.1546383139683118,0.6444658851288326,0.6076228595713168,0.6758935438132135,0.6994941936351183,0.6327370976354685,0.8511879503341441,0.8383944512586392,0.8377232152047261,0.8766656834906841,0.6267912203453537,0.6479386535009729,0.6934599898368998,0.6248361566643482,0.6422565856592319,0.6019086520978598,0.788032374904129,0.737408703458487,0.590767507275782,0.5746163172790005,0.6200743373653687,0.7022326956371396,0.5556721904783807,0.5354621314688521,0.6518845801953584,0.5713785372144268,0.6843825613808403,0.5780798666604423,0.6819700196825014,0.7181795995912589,0.7175977707975607,0.7637500396127734,0.8839670506318626,0.7889797091019147,0.774907567599997,0.6635077380269775,0.6613200065317241,0.5819519621106954,0.6250374042178507,0.5252001870945677,0.5899104155469227,0.6258791173977049,0.6790858921244906,0.7769573996518101,0.6316798874109139,0.6831614973478871,0.6206797996079371,0.6072126566251845,0.5320989699262599,0.5116892737526738,0.5644001631944326,0.7191201053850251,0.7417918205005234,0.8206830127404315,0.7917636957019285,0.9113690632412725,0.933929599969564,0.9565528062996158,0.8518901672677678,0.8823097898334011,0.9496284482412264,1.1201145556867669,0.7085519270507589,0.772315417778468,0.6688441769448635,0.6937259333282895,0.9311856422679341,0.6756905006054852,0.6194460969390678,0.63429876792167,0.5778084179259593,0.5756117898722445,0.5656417046678293,0.5758968439281266,0.5412831868891489,0.6240324916967392,0.5586368096446456,0.7057389423738057,1.175598130337204,0.9430929378224688,0.5605902408634463,0.5289386098279385,0.5926384350341372,0.5586038498738511,0.6454754095157859,0.6350154584790714,0.606785570047696,0.6476900200629286,0.6822266170553277,0.8297802623282181,1.057403517028677,1.044192731798708,1.4971039143991665,1.5593599504000106,1.1763132596480679,0.9896378966637156,0.7997877766843358,0.7644026594549339,0.6995863128630213,0.6363889773346504,0.6238483534466225,0.61497176931097,0.6898363511246922,0.6416434303200297,0.6659200341523676,0.9783508539413084,0.7088636181858864,0.8579289063888801,0.9278905241430546,0.8911098550847781,0.9400036351639132,0.8929560871513492,1.1757473296157956,1.622751593522325,1.4445691916435586,1.914146104697858,2.183479883880887,1.6749974614789052,1.620953369624423,1.3585214148102742,1.3870956156233845,1.2077873137899164,1.1061898397874061,0.9680827789580582,0.9111043907806008,0.8007143652510041,0.6704749300517695,0.6855966471840839,0.7141254180167604,0.6825969790467618,0.6325454268927462,0.6675013675700948,0.7242659207018471,0.7443236555675581,0.8217293992218458,0.9284207512890664,1.0247619650001505,1.0651972697896144,1.2030443776908533,1.3706743831485844,1.310009129601578,1.2265281293074382,1.1459189057119148,0.9718222787246166,1.026832251652668,1.1055319793431861,1.5318111525479428,1.292061100420407,1.5189175406936462,1.0255719601815894,0.9492761622878404,0.8973013068839392,0.9946047662466176,1.0962747488341993,0.8920014704409375,0.9910454550252064,1.2087961279598092,1.1897723625407375,1.0778865711568177,1.2682388066380883,1.4355017521003162,1.2474929730840452,1.3596744324798518,1.0103665879380757,0.9908580740310193,0.9257808371745273,0.812190932295876,0.8623421037206006,0.8996782688755235,0.7865724718736071,0.781944448604946,0.7386263309092368,0.6787251687905734,0.733642637809316,0.640858704644034,0.7134043041426213,0.7793386575393809,0.7396346505209818,0.7937203228303027,0.9278777775711678,1.1412894529552258,0.9809322904837853,0.9908142749544997,0.9131964610340786,0.816858155027148,0.7339762064429933,0.8238027321060017,0.8564391402211855,0.7852596896005961,0.8217407723979222,0.9379579472690542,0.9356876064746662,0.8630855485710299,1.0628419187664175,1.2773049590038934,1.001924403146637,1.0793033088926511,1.2401010777759782,1.5271510923703593,1.3017507149440162,1.0454618330445073,1.4153166584033514,1.334628459890317,1.2313737237972038,1.0705710544080744,0.8975890979104624,0.9581125315409866,1.025218440807192,0.7980058563007466,0.9303457575001294,0.9561864776700544,0.8717992022598842,0.701722986050988,0.8162555299854514,0.5775418420513964,0.6931077301897185,0.6778202649954148,0.6175373178884304,1.0231667313156583,0.810137890937982,0.5845922105639396,0.5977001379406934,1.0557381590914476,0.5518896650856768,0.8576849442791916,0.5566578429346023,1.0934254854325,1.3822890119452176,2.024526998850104],[0.4669409904588776,0.4639049631853494,0.575520918142254,0.48654961315285816,0.4813401169183101,0.5251036187454349,0.562883842258377,0.5661446939013817,0.592796282327302,0.5895743426378022,0.6029282064127216,0.6434806680422427,0.621761391215772,0.6327288553603254,0.7109471816262027,0.6631616853024348,0.662319961284449,0.7114622800932311,0.8209453412763023,0.8275170324362136,0.9530156326218658,1.1734580052191985,1.0997178832875807,1.3378923428823841,1.0354475527991582,0.9480378879480975,0.8131095530179379,0.7257720714170975,0.6981197708640448,0.6668798145988409,0.7099389077072487,0.6562124989084265,0.6875765750635006,0.7118836613557675,0.7027948255899984,0.7145096904260939,0.7076261359292644,0.7235168404106822,0.732213236084935,0.7875973768471054,0.899101041522882,0.8455965654266882,0.8659970679741208,1.3751262757537748,2.4228835831420206,3.017122179343112,3.854309441022062,2.2670302916774703,1.7441165285386888,2.844062796564363,2.253301124609067,2.2369731125116648,2.030104383012482,2.5955725312617455,3.1446171577607793,1.3023183833735463,1.0734259209438188,2.1225364599810868,1.6919948025560556,1.6612027468691748,1.1388811220682855,0.8745539715875837,0.861438114154514,1.04059794648061,0.914789496218074,0.8887349704362707,1.0366393219287522,0.7651048291884384,0.8643816256980125,0.8231571239019139,1.0298202554260436,1.3584650318840936,0.9473365432088932,1.1268048811219824,0.8209944483689053,1.2797656076965862,0.7663394974939871,0.7366537463788099,0.7971291075409628,0.8280530632263876,0.7339824331887649,0.8865990000628237,0.9257127282572567,0.9155422433964523,0.9726345875513441,0.7227478086008459,0.7564910633842161,0.797353145632133,0.7545571200511929,0.7637510712636628,0.7380819561563351,0.9156714591742298,0.8799418101793792,0.7317687527371668,0.7065831214597204,0.7434587795379066,0.8074453719410448,0.6619874331424507,0.6299331639854098,0.7053785587032406,0.6609321888848768,0.7043824240929143,0.6425775089343807,0.7477159045437775,0.6977866657254742,0.7438305351954271,0.733853468299314,0.8844724609103881,0.7773649555433282,0.7481912146675403,0.6255348228539386,0.6750100919516371,0.627671117977953,0.6860349147041446,0.6377510562269102,0.7017357523620448,0.7327693131616317,0.7802651560098685,0.8710596571229927,0.7552554707629118,0.805389350496305,0.7361239239835948,0.7291182065200162,0.6456073395271871,0.6074186901970094,0.6348263634264132,0.6745497388760111,0.7247711310378251,0.7717979696663275,0.7551273832906149,0.8595864624313355,0.8652012117230584,0.9056345234133015,0.8022140460520041,0.8528495851467632,0.9205561271775642,1.0787632568033365,0.7412789034335576,0.9152887651501784,0.7324491578455439,0.746027096970077,1.0055676815579462,0.7716918958036556,0.7090573860886052,0.720913900116596,0.6742577442619594,0.6656813575475428,0.6481043499554996,0.6498592144537313,0.6183661324979112,0.6637610888494456,0.6256728298783217,0.7449394833125192,1.2426575053133175,1.0124196590731012,0.6261762646649415,0.6089992153349676,0.6442904122722962,0.6321155430505531,0.6862130666271568,0.7000327043130004,0.6806128779644388,0.7039513445982669,0.7332193393532312,0.8168763415793224,1.0270846516682908,1.0028936102855146,1.4008790708934977,1.4774384680415777,1.1517781254696413,0.9638016863334258,0.8050881569358723,0.7743290949489076,0.7197294847069047,0.6820107229583697,0.6599417735174271,0.6819336412398975,0.7231677330984666,0.6951679398448105,0.6833364261635769,0.9420246065207556,0.7155088952032562,0.8309787683021331,0.8934765627529738,0.8673867810630168,0.9342625257224912,0.9057600253210626,1.1786605264655587,1.6356855539290747,1.5052428694273634,1.9686215225844315,2.3193419634846104,1.6865785015369859,1.6030905045115829,1.3015534254768122,1.3052002845113408,1.1437480580641408,1.038532882850839,0.8775335698172608,0.873953750432909,0.7002134886263609,0.5900757100000529,0.6262870700955198,0.5959644809744331,0.5433728213884876,0.5187396108025202,0.5460930046459561,0.5833457214482825,0.6125163397958979,0.7263842856966733,0.8087480492158298,0.8961433425555314,0.9728181791306403,1.0973150645283796,1.249399928553721,1.1890364556062039,1.098598225810224,1.0167359437212224,0.8237900784786661,0.8706104733258236,0.9281387865776362,1.356102520867641,1.1276876397767925,1.4063337693704383,0.8516910280703115,0.7757715128137002,0.7624892490302276,0.8554363881913496,0.9462742385743447,0.7623198864823248,0.8543941987757503,1.074698731761914,1.0440847160427158,0.9465079323694762,1.214718334330464,1.325813881357696,1.122780882362467,1.3070964126486142,0.8929300638470211,0.9172878602690254,0.8247164011585183,0.6931521641974073,0.7840474608895153,0.7687012279149508,0.7447180731376726,0.6975504603379474,0.6222519960614711,0.6362466651691243,0.7086944689447928,0.5284386204510546,0.6185786197763108,0.7315969276314034,0.649899587619804,0.6769570712785302,0.8492156462695714,1.0714465975071328,0.8796937125167769,0.8672996524241638,0.7667113444244585,0.6539703513008235,0.5641269854446169,0.6363628365093209,0.6728725546468906,0.6153914356113869,0.6478531956964143,0.7497934557766329,0.7548748397667189,0.7103444764063379,0.8934339826457642,1.1155989355130405,0.8633057565292387,0.9572788561640695,1.0967312608858275,1.4321222359780243,1.2035355043735734,0.9504948574853355,1.372336158293618,1.3241961840592211,1.132763172424788,0.9788032772217987,0.7769134498847546,0.8296397940936,0.9165811773609451,0.6940808053096508,0.8576735644132836,0.9227241510930191,0.7956667718542875,0.6289800253403226,0.7476725679109559,0.5197872518183122,0.6221368078800013,0.6524868931460255,0.5554335940036884,1.087888489087464,0.7691638397801457,0.5184677183489516,0.5568079712348564,1.027210531032297,0.5067409884120239,0.8319540264981601,0.5530196585685677,1.174375973856082,1.5599531372475592,2.2715058465549713],[0.429623210838947,0.4388185682330088,0.5805687337036588,0.4422421319604545,0.46187758136872076,0.45751744598407945,0.4844254754131306,0.49421331364606597,0.48463665867934386,0.46039203497495806,0.4687405268045291,0.5351594553189043,0.4872887013690295,0.48058274303961895,0.554923595582442,0.5195052671555271,0.5112937205472404,0.5458302190566388,0.6457381028850032,0.6624657080708163,0.7613112743938071,0.9987492484818045,0.9336143272675262,1.13933628938694,0.9071959936140713,0.7910298698836947,0.6541874375881407,0.5834650354236313,0.5599653945516245,0.5353155619753552,0.5430498939655908,0.5367256581669839,0.564071087655306,0.569850975549732,0.5697613351374979,0.5650161615098759,0.5878283954667745,0.6061281933434973,0.600377236046661,0.6671490926653666,0.7708942690340358,0.6760982054136014,0.6890266185436145,1.1948484328346214,2.2434403429406387,2.883582140026363,3.640652365723341,2.028892443202619,1.5981231037253367,2.646225098803911,2.012697777966529,2.0577102976317097,1.8058798021030849,2.3876465169922216,3.121270276897687,1.1940939478191306,0.9697610049755843,2.0123019296668487,1.650498097022749,1.5309582541150608,1.026475771434831,0.7434525052225628,0.7008631353217564,0.8500723600888864,0.7440929900615965,0.7184552614221992,0.8622153192067996,0.5847323169187653,0.6942824167686913,0.6736406506079994,0.8974484104450315,1.2062475528499248,0.7848876417449739,0.9510134823870577,0.6599590602434421,1.1058272601807522,0.5963155576851481,0.5649744241348295,0.643508172392419,0.6809861174902265,0.6249019694035735,0.8249968193601779,0.8471409160390195,0.8156143312029132,0.8803392046525759,0.6233165321680326,0.6328023361359614,0.6977893050327965,0.605283934202848,0.6279099202553433,0.563963154600846,0.7336334978742629,0.6920550399836994,0.5571581217606518,0.546342606129073,0.5850387347170506,0.6653949820117189,0.5412826861322955,0.5228362259142546,0.6275749173211232,0.5634059460548901,0.6478928834882008,0.5699859518570777,0.6928635419031473,0.6733416430127777,0.7129871816468148,0.7197083527317663,0.8634282065687318,0.7694816805656639,0.7344348928228753,0.6079499956791997,0.639097525724514,0.5700437830293584,0.6245799713304722,0.5235411872801016,0.5797794323161606,0.6062426417623337,0.6347542725498496,0.7126418583105667,0.579847768176543,0.6298132606254065,0.5814539596288827,0.572490366235859,0.5170181672847353,0.5092894929957243,0.5785097754114144,0.6542357681065943,0.7036241045382797,0.7534695287927257,0.7375914658524039,0.8451432408047742,0.8403480684545219,0.8703305501061933,0.779037018226973,0.8224822985541339,0.8957289542427587,1.04313797686017,0.6883379258034252,0.8704227026297521,0.6337790894189533,0.6338263282199633,0.8534039220641092,0.6178657021730792,0.5818608606933787,0.6011661128716433,0.5637056417019379,0.5621036991225794,0.5657038849638675,0.5759076033803842,0.5395139243439707,0.6097425054690266,0.5493224108897814,0.6993552801931869,1.1792424681333864,0.9426761116993688,0.5494960451588796,0.5243194166248868,0.581285606557773,0.5499789615377979,0.6306325921980094,0.6343176890863659,0.5968955506181091,0.6186052403935451,0.6457752556297984,0.756097559626758,0.9626470584570109,0.9474823875410753,1.3389617847248922,1.4585020223200293,1.1361566873721656,0.9333652936570247,0.7492789975807798,0.7239659213721459,0.6650934732175457,0.6149844229095248,0.5969555290951464,0.6045215150789094,0.6693559166667454,0.620624041626698,0.6260055279470147,0.9178191276271128,0.6713959504944583,0.7845246927530879,0.8411793399820464,0.8091614744521876,0.8647114794858276,0.8285892358648003,1.0882571973636344,1.5644315759995728,1.3692156622168543,1.8026676583467944,2.2015065054111043,1.5891849786421135,1.5326986860336782,1.236345643659345,1.2311344148406627,1.0990050348061713,1.0007788391283021,0.8572622193184489,0.8665915202536321,0.6953138962073119,0.5830158667295019,0.6201865421226146,0.5868874799888529,0.5293602740608291,0.5102916876054013,0.5338346753397397,0.5621503797441195,0.5911126025560369,0.7147679905938145,0.7873960277571994,0.8587979426617538,0.9438273656639717,1.0686545778920744,1.2002752365036915,1.157663627472021,1.0328666963559072,0.9573933584958316,0.7677059945825706,0.8074305584760892,0.8472306661465856,1.27897319113998,1.0488186082982291,1.3555921794340964,0.8021052407232379,0.7405997887785937,0.751108786091248,0.8266236787092526,0.8953630915329389,0.7420130520020259,0.8188069100443451,1.0129083574572386,0.9898976084112443,0.9066648109437987,1.1837875881921176,1.2589909160401627,1.0665742653131474,1.2789391168992175,0.8669656117828046,0.8858891326636135,0.8013786635849107,0.6818085241284184,0.7774359104918646,0.7586541094204634,0.7503148511161939,0.6934970067296032,0.6031086688540559,0.6375306306034849,0.6978559988300399,0.5188827800902971,0.6018509058262026,0.7095489777005041,0.6274652176882743,0.6481760459303705,0.8098373965639307,1.028209320173213,0.8480303100258577,0.8232271051040229,0.7195578947220619,0.6109993485328703,0.5331380920005534,0.5922641745194825,0.6218746265827744,0.5805673960458314,0.6094868745964163,0.695779244303016,0.7044080145185896,0.6811322166645496,0.8391310083768792,1.042883731083359,0.8270881442867811,0.9241102724252243,1.0273276902223847,1.3862812652109398,1.1632278038791743,0.9297559657577968,1.3395693265830817,1.350867243243857,1.0852438955897366,0.9644062034501178,0.7618376627566,0.8177713226129347,0.9378197312075292,0.6811152026750106,0.852598070110861,0.9578894936123737,0.7936575332525556,0.6313607389901719,0.738655352827743,0.5141319932723466,0.6016691338802038,0.6389730193818036,0.539443229873732,1.0749150700923782,0.7510960825008981,0.49686622049008494,0.5161215005793915,1.001272542213518,0.45773553247605425,0.7949635435451944,0.4953941478089367,1.1763311211264365,1.5254373384880573,2.275064710296457],[0.44030686334015745,0.4341978717595449,0.5834705712224941,0.42360730999493545,0.48207598213501174,0.4499269090247989,0.4836379234487547,0.5171583056285702,0.46717451728972403,0.4375066130075494,0.44166930438351937,0.5157365506760796,0.4635932860552725,0.4423503511721575,0.5240124919952863,0.504181700495872,0.5071167611221167,0.5367366406735665,0.627771766801071,0.6237123878914506,0.7164571254245397,0.9293474570158887,0.9195045370757392,1.0696106962587857,0.9047718883592772,0.7518744589501309,0.6239582143946646,0.5693593739889791,0.5659001972299202,0.5181801551820423,0.5341200305978885,0.5319526152367909,0.5662208653734667,0.5563513658401557,0.5652139069578656,0.5441824468471871,0.5929905920520067,0.6289567807738948,0.6009500025264578,0.7343797706263472,0.7053264750390897,0.6407160124789224,0.666184828419842,1.2125880506296478,2.1668836538062672,2.779711700397686,3.6667468628476314,2.112467940246939,1.6542261727300704,2.740946875210603,2.1788626799974304,2.196352384568453,1.9515085040711033,2.553687163009125,3.3630006926215863,1.2134352832647883,0.951874595136886,2.1541733463527692,1.763144479240258,1.6135314094628956,1.0425321288588623,0.7395129891609,0.668748815803009,0.8069930695026961,0.7244795186525634,0.6758166173628803,0.8071587197964156,0.5785117483845584,0.691141645358342,0.6728264068227989,0.8956335895343381,1.218492384811192,0.7694040339606323,0.9582984694088716,0.6439563324678398,1.0285414932202779,0.5826430259422896,0.5581919994212089,0.6396634250616735,0.6494480746941105,0.6494237113489474,0.8904761099066605,0.8485164787428909,0.8561045144552857,0.8759236829770564,0.647499444461724,0.6272421486375089,0.6838461367439548,0.5895173208070191,0.6122731233049595,0.5456482692044395,0.6989225905821841,0.67603497180113,0.5269871805210029,0.517706358191571,0.5648747941621146,0.6467143391708209,0.5362048913765852,0.5202373297961543,0.6229035576496281,0.565095895676057,0.6891516898649938,0.6052888698680586,0.7119118822267524,0.762096402421065,0.7588837354138334,0.7954792391654316,0.9283457385075711,0.8173194678138576,0.8001165197764628,0.6872265611904119,0.6931568885378959,0.5957014894729437,0.6361128395420735,0.5086655867046362,0.556502392023896,0.5744874164285433,0.614262639038486,0.6973344134976017,0.5521719834267779,0.5993986151275612,0.5631446731102083,0.548180379665528,0.4900252135629989,0.47577549575040645,0.5675322821124485,0.7347893371371964,0.7779448091720501,0.8416638066658382,0.8228076643108353,0.9248192701146184,0.9462404334644959,0.9824969866190091,0.8869208304136976,0.9091901556685481,0.9800751617447034,1.1676230515774055,0.7277006957462259,0.7197051489505266,0.6613737286697278,0.6697972861464351,0.895158605026002,0.6189910092486296,0.5885692106553412,0.6133161406386872,0.5604768916841797,0.5644163049582968,0.5619255092851692,0.5952208573520542,0.5389974531496039,0.634022851759395,0.5651464508844083,0.7232267049612131,1.1385089606925645,0.9058830026009735,0.5697872881795004,0.5468882891152589,0.6111269224463447,0.5788444760946828,0.6628894913572866,0.6666433709478895,0.6298622894157756,0.6596631297331697,0.7033206178897066,0.8634017709095733,1.0791858145912743,1.0547600876362158,1.4917587715378091,1.5585856330581818,1.1764610144926924,1.0031538856719335,0.8190778577893741,0.7912704941206744,0.7356906077208021,0.6729538952470825,0.6690277274726999,0.6406142745578598,0.7102663459357903,0.6816929115815167,0.7227047381811866,1.0329826935087212,0.7619273836197287,0.8962129772501726,0.9491426934320656,0.9099723787264283,0.9638400800716797,0.9040413723888184,1.1796761384225856,1.5962578195863883,1.4309393009777454,1.8902831227789758,2.1813916443488806,1.6815550444308065,1.6293918215442957,1.3631187644238352,1.3887119581136962,1.211737972396366,1.1067874729688842,0.9425530492497287,0.9162861171468445,0.7775357218211105,0.6639710890441963,0.6796941495459179,0.6645808675285289,0.6199935021373408,0.5717650466876119,0.5920314763210655,0.625617753416138,0.6252262677166659,0.7445478582554488,0.8293434661404787,0.8869269558528657,0.9439411683695947,1.1077156900854335,1.2414603436491305,1.2139777790510928,1.0449489829498577,1.000603461315439,0.8174729426709042,0.8604630843046376,0.9408651607383633,1.3452794964754564,1.152384600427865,1.3693659757022818,0.9326976817276136,0.8712224721444815,0.8462006171190459,0.9625618189010771,1.0329403576906748,0.8530690659352778,0.9574536159274348,1.1697538189955077,1.1192299044404215,1.0315374524459997,1.2732591058459641,1.3724786151268706,1.187063538120072,1.3437998418328991,0.9604710791552274,0.9942917953525948,0.9145233989698316,0.7824510725534921,0.8526727558784386,0.8542002865249806,0.7789769338286069,0.7618023329879293,0.7055751102872662,0.6524093724403272,0.7104301128312727,0.5869089223334854,0.6179480582262113,0.6893384434224105,0.6351661580351656,0.6510064439939814,0.7690969707101248,1.0065452058568831,0.8358298308992836,0.8200494623481438,0.7526691925794561,0.6727067021645425,0.6420566062044633,0.7151618008293326,0.7116984409369586,0.6613500781648761,0.7207669209853342,0.8042341483118218,0.7980520344370863,0.7687906482267644,0.9515131281524403,1.1264088732182775,0.8764071061054198,0.9973686623126474,1.11927232632605,1.4256388250464018,1.2090749799766025,0.9262760733346512,1.4170866603347712,1.3524205366238362,1.0953751606262492,1.0161732760577356,0.8065664288641017,0.9113637727624688,1.0866001187658432,0.7067570469104125,0.779506091567667,0.8419788316196632,0.7831404955994888,0.6784362928955068,0.809017355882857,0.5904302100793133,0.6675258784493512,0.6642606110054811,0.5784742094125787,0.9514688323776869,0.7872055563205564,0.5227931830694709,0.5165679174218498,1.011607731010583,0.4848252669050966,0.8403310127038135,0.5135327673605634,1.1569483826105056,1.3670889733856366,2.119473333718438],[0.4291501888756571,0.42534123204247426,0.5830784495453614,0.4219425838127883,0.48079290902222066,0.45351361102514764,0.4896200672462323,0.5198632707169,0.5056447299220385,0.49838352071500625,0.5072875428975085,0.5619165823746834,0.5464351972894484,0.5363868533660671,0.6351591850000992,0.5909234651878302,0.6115468336539707,0.6668892820555359,0.786599302362078,0.7783680724582793,0.901913163009717,1.1357255140746174,1.070617877447302,1.274462089802525,1.0154456535267165,0.8979924594357576,0.7884032426839546,0.6921182995137274,0.6689034126223903,0.6112568856838873,0.6697786024139684,0.59979176240732,0.6405873028337357,0.6619340911865028,0.6646263666171589,0.6795628251347635,0.6912344372564082,0.7371109498193068,0.7490538113173442,0.8584353640508591,0.8933871504012053,0.8585121784582574,0.8961860443070307,1.4654452352422258,2.4256158275049153,2.9964837147149503,3.970317027927523,2.442255613452104,1.8699392038786553,3.035521104985126,2.5242788919867167,2.466468375491734,2.281470989491896,2.870152979112728,3.4064738504515506,1.380476903709174,1.1289281754736262,2.319934935492722,1.8343387731255583,1.796550377364976,1.1803796166243996,0.8840887538877665,0.8218810386193659,1.0036200845656598,0.895075896281859,0.8424109433728906,0.972490291411541,0.7249125816254582,0.804069435084545,0.7684246364921962,0.9867065505312999,1.3459474476494455,0.8819066192572728,1.0837743455741837,0.7471791932365113,1.1573960977763817,0.7265212889743036,0.7090673693027202,0.7850974307447043,0.802094836948531,0.7547175447271254,0.9364855353939733,0.9284350671849119,0.999854749016348,0.9954261471554159,0.7404423883483784,0.7574628202282228,0.7866790858819265,0.7253096151278171,0.7132284197528456,0.6959572036504911,0.8612111161813428,0.851410171960814,0.6631510902130044,0.6315935310191994,0.6820952675450245,0.7514713685613189,0.6039032972741368,0.566857793777018,0.6255018087670602,0.5872181510800363,0.6639111025391949,0.5934359005942511,0.7086631184168548,0.7485046547705533,0.770305318229905,0.7844335782347064,0.951492919758035,0.8060315579233497,0.7741897439079843,0.6354739286406311,0.6743854789791941,0.5851256040600088,0.6357849523688637,0.5684023545405026,0.6375193286089005,0.6538421731739733,0.7457348159976409,0.8461003226172455,0.7087050831431482,0.7477782687568789,0.6803381385892153,0.6608242296283326,0.5637807640935016,0.5141498982541607,0.5819290003245788,0.6583557729534344,0.7333297610677941,0.7854810975174806,0.8001258050714857,0.8881745468916075,0.9205064315249764,0.9848467260074567,0.8719133932530428,0.9046476328166733,0.9468774145608653,1.1625139310675756,0.7646801275417703,0.7651298643685241,0.772407759858918,0.7715460599075428,1.0278613905365879,0.7767869042582447,0.7166281166620626,0.7383072764567322,0.6579966308816048,0.6471403968677019,0.5881503498873307,0.6091160938188153,0.5500918502971618,0.609235428040484,0.568045380568856,0.7205031530728838,1.1408316926061695,0.9322269688734315,0.5696220522895796,0.5578402388026348,0.5871261327121539,0.584133001357982,0.6613029251939807,0.6884781999522848,0.6832464616829896,0.7315515044440152,0.7847295986517847,0.9051674916319702,1.1111942261191474,1.0798713449871689,1.4895633569607691,1.5003277546834788,1.152810298733993,0.9975274246370841,0.8592965774806458,0.8286636482825809,0.7738456013091106,0.7161764995084922,0.6895426511451884,0.6682892598453316,0.72305453785531,0.7447678933638385,0.7485698152412051,1.0377361219792296,0.7717653758947894,0.9268905744251358,0.9822399331134429,0.9579257178232748,1.018143949973588,0.9783509115201418,1.2690465874606176,1.684507503360972,1.5949271643118483,2.0655979369752475,2.338567843386214,1.7793215630015138,1.6957647441893502,1.4128113910829683,1.436521012493805,1.213262795874041,1.113149882380814,0.9235629711948873,0.8934269598803366,0.7615699807860751,0.6460159869448872,0.651929447672158,0.6355526216264535,0.5943828826789084,0.5410486294840684,0.5681057280193171,0.6114346607886281,0.604686403494879,0.7353582706876228,0.8326060645799034,0.8917370955114675,0.9431675658935719,1.1111815275368608,1.2578446898194349,1.2287894002402844,1.0645436733835654,1.0380470376430795,0.8347299579177637,0.8845986014360162,0.976691821841086,1.3938357231010643,1.1984859650336583,1.3539735809101667,0.9455581447197826,0.8896070352261445,0.8465206164319701,0.9851680243627327,1.0705751925186404,0.8735919895665274,0.9638185966762968,1.2039079690581689,1.1314475668796393,1.0402635011970662,1.3385816130924175,1.4234198104070517,1.2203564175970805,1.371189736683418,0.9469035608952427,1.000048590528839,0.927769184297288,0.7798774664652903,0.8504069829911566,0.8236634387390233,0.7943382200077093,0.7559303492814554,0.689737595670995,0.6449472071634356,0.704815650292501,0.5623404735114068,0.5961722028471955,0.6764622861849697,0.6148448187001221,0.6322990893937055,0.7570245918943351,1.004177799038099,0.831024722402677,0.8113574834504109,0.7470903087602309,0.6507943452047853,0.6207503984517916,0.7040927564444932,0.7118853208945046,0.6502362872252462,0.7161925756896322,0.8136448323372737,0.8078697738243966,0.764230784330591,0.969893056092432,1.1507464202167377,0.8799993680257651,1.0125938635775924,1.1483663881233765,1.4458055867247364,1.2301162577650357,0.9279603139131356,1.4597568367259377,1.349486935369283,1.1402264266041466,1.0520913265096798,0.8237096335590745,0.9136181445808507,1.1043074996277233,0.7216989986797376,0.7698172567557371,0.7676344427175605,0.7336587643189955,0.6425075814890634,0.7708950346707819,0.5654320325609506,0.6211150645812805,0.6374453711479843,0.5474148919539745,0.9538714000614152,0.746452595404756,0.499329159318619,0.4959781644703736,0.9805343785019113,0.4613132387591252,0.8269004128503097,0.4871307037914574,1.1841784228296197,1.46855728733216,2.2849810861161335],[0.5136869069369597,0.5373984029909549,0.6702902646883366,0.5332255749717759,0.5997570382126413,0.5598927410822224,0.5962947467796988,0.6293842678840753,0.5852884489473428,0.5706006835434887,0.5599771627319439,0.6305827402451253,0.625041157280003,0.5747068001635774,0.6709267705187536,0.6488259500092352,0.6557325083952747,0.6890019357576032,0.7669875442456167,0.7913036318892369,0.8806071461599642,1.1212433731996485,1.034360511070963,1.2238409776405859,1.0038899842197586,0.8840141957746969,0.8080434461184256,0.7315741156269244,0.7203686850773502,0.6862563683756726,0.7091529942492178,0.6796234822627142,0.7131228927388727,0.7183114271695934,0.7350993646547026,0.7340360419863443,0.7780400603264026,0.7953997290827153,0.8117913175773105,0.9016376489567414,0.9364288788593261,0.8651377344156633,0.8830937575003514,1.4088350619264771,2.3809390025471404,2.990099811119217,3.850091161762817,2.30543245821738,1.8077577893179004,2.907953527065893,2.350183523896956,2.3466395169793586,2.142236353077846,2.7661579459484,3.285706783575813,1.353036790662747,1.0964958242803102,2.24450515627864,1.778178546424121,1.7361520985497385,1.151426777681001,0.8705272384965371,0.830221190302205,0.9747799665587221,0.8794364272033466,0.848356363837601,0.9516343156939803,0.7212791426595762,0.776301076797401,0.7540120532698075,0.9620672871757758,1.3023188259825311,0.8517754633160431,1.0430768052470811,0.739544869361741,1.147862228873912,0.734969062666697,0.7309671735389787,0.821617370340657,0.844435715368592,0.814307411885588,0.9794085746256233,1.0129461821301644,1.072376477526624,1.0780324876948904,0.8235350052119985,0.8200446572018759,0.8608716028620171,0.7689427839566046,0.7612630927704951,0.720754728048868,0.8632737642381882,0.863655843468731,0.694676152078884,0.6685625648412502,0.7048774770519466,0.7736737941668516,0.6668210775682576,0.6453766492274903,0.7003030895962964,0.6817596839140304,0.7541048463374187,0.6956766974089691,0.8301108323454874,0.8350198341086221,0.8921167658194538,0.8845759028759214,1.045135876761784,0.9020401040888101,0.859847302370271,0.7201139255246869,0.787251290794942,0.6908411889228302,0.7405905134577943,0.6562735356012944,0.7101565024529971,0.7003140847638679,0.7644314361160117,0.8196066907601379,0.7125760811158364,0.7403946341110842,0.6972631484828056,0.682815095081041,0.6246908675412093,0.6000854655018321,0.7070305446634636,0.7053947319878185,0.8180464093321722,0.8576752938570408,0.8836784780406659,0.9515154663361598,0.9605135434308817,1.0161431066520115,0.9182719473161834,0.9621212687949355,1.0063040978227282,1.1909694846253571,0.874922250721911,0.9300380912574469,0.8320726386621414,0.79345130992554,1.019431028068838,0.7884259561436385,0.7714848825789659,0.797884162095986,0.7316072853061237,0.7327499472766629,0.6858912759968437,0.7257197016656355,0.6631309063264937,0.7159228553417297,0.6728286903604164,0.8134849229959931,1.1686798856591163,0.9856344758643852,0.6689371949302205,0.6578215796155648,0.6951682801289107,0.6893140240141021,0.7779340122125854,0.7976781737708145,0.7739912247623156,0.8100735322203093,0.8512405294728126,0.9297741066610612,1.108731316710532,1.0969112667837724,1.4380377943066986,1.4917049724432756,1.2073937622931359,1.0503764171958077,0.9221393851870782,0.8985675390750163,0.8491248978637014,0.8052488723507465,0.7898469557532772,0.7672104449736977,0.8207293769287118,0.8310091978943757,0.8307509700163492,1.034965968119972,0.869669776141888,0.9910681547035177,1.0242191418929154,1.006500571478071,1.043508405903009,1.0037785647552822,1.254882643883598,1.6717847269470694,1.6017497694517926,2.06582127081795,2.4530979207945065,1.8061250031250042,1.7167980137021166,1.408152754410394,1.396061153552939,1.230111522840485,1.1417827825540532,0.9519626704687142,0.9802431965611043,0.8193623257814405,0.7382748853181177,0.7461300131163291,0.6666384459891687,0.6258423372494479,0.6015861741335939,0.5888752594314319,0.6028745421616175,0.6192888413354312,0.7561328062038439,0.8060747422397203,0.8429531830825782,0.9339090860805732,1.0727331775918532,1.2000748557757221,1.170066388806633,0.9938063925345345,0.9394123684654767,0.7402865157649359,0.7810868053003679,0.8389504008348989,1.2559766090834554,1.0767106027942737,1.2696611996935903,0.8794431431546251,0.84134684140425,0.8428306199502478,0.9537985700747256,0.9990013053730594,0.8764424705932836,0.9257864284721231,1.1194592759278876,1.0378580924494334,0.9997830997752801,1.3820973457122663,1.3651127370736618,1.137451043469393,1.3819364307301873,0.9410078784357316,1.0316241782937152,0.9558054837616804,0.8159640182772959,0.9167049541953861,0.8401881943890519,0.8976249240651162,0.8287037582231236,0.7314792363465747,0.7659167589333157,0.8128644987626878,0.6349758643553808,0.6693094845457322,0.7734379191270591,0.6737163122955361,0.6573625415849603,0.7784502465070828,0.9860672016876775,0.8316710609052165,0.7887092508024155,0.7013770819071775,0.621922749405284,0.6126336055831891,0.647557548491278,0.6414582315520975,0.6083949483187583,0.6668848622540147,0.7165036912702747,0.7082949941214486,0.7147152778826567,0.8776724394956775,1.0283179537759446,0.8180961966550045,0.9625631284282421,1.0530494979001053,1.373938773530742,1.18050958458763,0.9256564461124902,1.464924128857618,1.4104019392795593,1.0551894264326607,1.0078723745011013,0.7847033659364062,0.8889529590603726,1.1023164495874067,0.7010088605203184,0.7734456950699491,0.8347547909460744,0.7654035232974831,0.7068422146941793,0.8304819567078734,0.6682576870434527,0.6802788045661857,0.7358221597820548,0.6492174083793424,1.0514358352524134,0.8002215460976994,0.6033639332545141,0.5824981684174997,0.9810965952465737,0.5368188624654338,0.867343744739888,0.5900237821058095,1.312855428268207,1.6436830333682728,2.5385379492991778],[0.5468875845615389,0.5673594828354517,0.6889983498612359,0.5296222306538991,0.6193080805121113,0.5556325381524593,0.5990663749354157,0.6466849676490057,0.609463609463153,0.6360884750619943,0.6463701683840241,0.6863910561732423,0.6866960883461912,0.6628319089663356,0.7284951535179285,0.7418590669206424,0.7574933990682067,0.7873755996354981,0.8205949360620847,0.7978808546297496,0.8220875123111945,0.900277567733251,1.0133148961401282,1.0599202118573963,1.034009741744049,0.867953978383532,0.7878267314028393,0.7971986616786964,0.8174135706046506,0.7439394756773469,0.7995153962898881,0.7520052865163519,0.7715514712005892,0.7769320481524344,0.7822136149274745,0.7830355559701457,0.814558923981684,0.8975218175796889,0.8237847538360711,0.9339029117778094,0.7644915514540924,0.7514449114994335,0.7690973208623029,1.2327897153569662,2.0811797301732526,2.721437628695189,3.581250106246961,2.071648227729379,1.689805709381039,2.717330419711676,2.197796801311421,2.2747087268648807,2.0071643144415425,2.6091685520651176,3.4438454480067566,1.231082614135143,1.0262016051582263,2.235014749864807,1.8493534537601626,1.7253935771694038,1.2054984424203539,0.917002195956575,0.8505634977841022,0.9003434795045445,0.8530104585506828,0.8154624604406999,0.9268790062607629,0.8205861753178773,0.9200275059902195,0.9294045765288841,1.1043108887926332,1.341103800486117,0.9936511399916299,1.1277583338522073,0.868944551101069,1.0999068866027064,0.8298461392357843,0.8071069171304155,0.8402794682639007,0.8088672349364989,0.8324364615893515,1.0506511447162221,1.0018443807157933,0.9510663321358552,0.9482091848176971,0.8348992785703673,0.8123215998920043,0.8443331802278636,0.8084754576666906,0.8174153225171333,0.8028263078998281,0.8670835646638975,0.894210190376476,0.7659805688749867,0.7545541630279856,0.7902056768206254,0.8105205124453835,0.7553662761305387,0.7340497477584537,0.7676023690775484,0.7543739628728912,0.8500958922631089,0.8204693452870557,0.8608984020038778,0.9271872657841896,0.8514116375369005,0.8944141594207607,1.038340133391436,0.9024034375616996,0.8979190924148395,0.7895695096310322,0.8128708518993092,0.7346037980281804,0.7890580429946372,0.7217995000770339,0.7497224197244045,0.7492455336582694,0.7936365736686009,0.840986147743541,0.7595505536329908,0.7701046952146389,0.7487217662143573,0.7308400752847785,0.6814673573550496,0.6538298467176461,0.7345252734596578,0.8509837286765336,0.8825080345973607,0.9083751753063167,0.9304196597821366,0.9831915368088657,0.9954219465135704,1.063505099462418,0.9917070234346029,1.01793237051162,1.1195267224392875,1.2684504055095456,0.9375813723231304,0.8875725590990465,0.912037130005777,0.8732410253510731,1.023587984649394,0.8069360644979761,0.80558208629788,0.8276794903230408,0.8049173457875315,0.7993805850699671,0.7764961094245042,0.7870849505420362,0.7099010982234636,0.7462803651034454,0.6962377055005678,0.8547873350236366,1.1496830965876605,0.9646041223601907,0.7345990058863564,0.747779360281684,0.7653487130552419,0.7940227992318596,0.8373049900294278,0.8680721010624235,0.850652848559996,0.882955615930354,0.9310189361060247,1.0760282099580427,1.2169829177672682,1.1951510787690487,1.5826064117332022,1.6349554768535752,1.3049000770358445,1.1315673982864198,0.9862569006156956,0.9487001934357343,0.9178464094050441,0.8599780999799757,0.8672583314436997,0.8493840231925763,0.8828617109097621,0.8635093093882945,0.9215666646510513,1.2610600602903559,0.921180417348008,1.0239130347836005,1.0600936376401864,1.0483735110408396,1.1103432591557372,1.0784818925327027,1.2783675035355633,1.635428723299936,1.4716508631588947,1.91842484448006,2.2509793580908886,1.735678269856467,1.6813268709828326,1.4082266623074111,1.4130415912810652,1.244594484399903,1.148395524366289,0.9645780909666224,0.9567335213730852,0.826190465349519,0.729908029412334,0.7231485703642471,0.6783406416822209,0.6455803878110561,0.6035025081898421,0.603856445354445,0.6355663044066429,0.6198803391871159,0.7607061732927735,0.8347901277896455,0.8539928571241079,0.9128618305330535,1.0784126379499888,1.2228866452496066,1.2215647167049275,1.0030308092251503,1.0056589328879253,0.7879290548467515,0.8331151415217061,0.9041163647056435,1.2963871074456301,1.1567807327047555,1.266897754494665,0.9272301656175859,0.8902359949027338,0.873783309739566,0.9930876172010187,1.0423834390434454,0.911510366010173,0.9708051947324876,1.153709752109075,1.0730744112320334,1.025069196911855,1.3570699145782175,1.3734907022252272,1.156550542340924,1.3764195659676632,0.9615322860308444,1.0596579759552114,0.9777074680198516,0.8444113097858185,0.9333979418769219,0.8812037242938274,0.8740236930212382,0.8408910434279414,0.7639215592215305,0.717445017090587,0.7662006235661544,0.6264656124599176,0.6353538919282169,0.6982202422133391,0.6336111963427749,0.6316051367132948,0.7148855405283892,0.9389698197355617,0.7984766410511465,0.7700490078979414,0.7140433242185935,0.6395225987757434,0.657021488110381,0.7049727519944087,0.6942403508651057,0.6465885820352414,0.722110875551464,0.775022974695573,0.7634600391503777,0.756890374888737,0.9285294258558963,1.063523428327358,0.8585629067461545,0.9932152442353182,1.0935602585913344,1.4011207196693356,1.2292242158634044,0.9804179611794588,1.5693231281579227,1.524196529944882,1.1347567908738263,1.1197857803403386,0.8616934412103042,0.9778000415465634,1.3026850817270734,0.8198035614660625,0.8259735443489402,0.7865152045189908,0.73775982397162,0.703740346790789,0.82932777147416,0.7021637697639103,0.6853836993430451,0.7106307166692291,0.6286581375044743,0.9123026878320798,0.792893307575007,0.5939245673563667,0.5798972884306224,1.0205312177657415,0.5749870081578131,0.9318920184470763,0.6253158645142726,1.341902790547955,1.4993195528676702,2.3897303008988295],[0.5001407760049211,0.5110070927806896,0.6553863375159962,0.48480517875422735,0.5686746406660672,0.4914235742337163,0.4987028397110658,0.5600631841749659,0.4860973215270372,0.4642056093123002,0.4687125280144908,0.5262710271927392,0.5243508750274485,0.4773298471608423,0.5773016056549901,0.5619773056325739,0.5725016148452412,0.6210949969157509,0.7069360086237817,0.684567786675647,0.768484777731104,0.9855593772530749,0.9610791310920995,1.088657478696529,0.9402101077237027,0.7861781281625135,0.715805539318303,0.6500991452093667,0.6555009451900928,0.5888609381630194,0.6461708520108679,0.5959325654891865,0.62303219631731,0.6335767237224704,0.6547134890649265,0.651302032938174,0.6932898800550547,0.7626147241618068,0.7369261951272242,0.8864894125176911,0.8107993773633233,0.7733338699416125,0.8376667551437117,1.4260414823581473,2.2888247732613967,2.8629159907577346,3.8869096632540665,2.413545241159682,1.8757942225725894,3.030938973625368,2.569245858661812,2.5166802318634653,2.3272112749385387,2.9443571252967313,3.5822475819616777,1.3967713367911518,1.1528395470021382,2.4286815053837056,1.9447024230939898,1.8254723082418003,1.204880695044662,0.8880255436416767,0.7660154771553022,0.8812799210210671,0.8343700625302345,0.7611043730472683,0.8333669158705611,0.6534031989401593,0.7435772586964555,0.7390005206146966,0.9585547048264779,1.3059419503583096,0.8328294389405011,1.0274168405975284,0.6824782036345028,1.0026175766243846,0.6798730361728066,0.6752221508715681,0.7517174913592466,0.7506316030497203,0.7691799305545728,0.9903769439985161,0.9427125807683471,1.0301745962067668,0.9659973253903477,0.760795938142163,0.7382851972261617,0.7768238414986244,0.6895821374258029,0.6936323884478022,0.65806329793895,0.7769106184045749,0.8022422693405364,0.6299173632115006,0.6009073700973553,0.645697697400808,0.6952763215933236,0.594437850083846,0.5626522850815363,0.6151967193565864,0.6019110360092491,0.7245296623822619,0.6578356267638689,0.7521568887341913,0.8457036065405045,0.8152505777652008,0.8676353179997794,1.0399530361274418,0.8703472335973936,0.8290906606251826,0.7011528112758432,0.7070046242443824,0.611682880612145,0.6219541666373517,0.546684694290729,0.5855360874415421,0.5810779922897902,0.6716627836760023,0.7444445255067587,0.6264272192318787,0.6525750997527011,0.6003210899449982,0.5762601150541812,0.49234752497145634,0.4649187974926401,0.5781802433248502,0.7102222305255197,0.7609670746452191,0.81066618795157,0.8530743431648484,0.9247777787930094,0.9788703580355941,1.0424336830762497,0.9436727810291771,0.9529597055491388,0.9789927761494085,1.2191164755861543,0.7934981017775017,0.6795913105823841,0.8127817230121475,0.7795877076984655,0.9999881255641525,0.7520746314428133,0.7086160323060944,0.7319736191669202,0.6554748106400378,0.6399340640874608,0.5927923029689155,0.634510804585276,0.5616127576747955,0.6382301345953013,0.5935024775851994,0.8021637994241181,1.102947932340982,0.8814020192331704,0.6078013480606809,0.5937773658063348,0.6387194564600399,0.6338737639430189,0.7190469840959086,0.738767031576901,0.72267778129922,0.7627896314593894,0.8362106114174603,0.9969688386292951,1.1715813211717745,1.1476962190840834,1.5615214297517293,1.5403920248867662,1.1733320335022652,1.034240518494334,0.9012265792235991,0.8810393338805602,0.8441403595100855,0.7859355124554009,0.7731657211404543,0.7179974982353241,0.7807080006744574,0.802423586398562,0.8535411046035135,1.1650773133426648,0.8436836611557623,0.9973068398593699,1.0539156102978318,1.0260207103281735,1.0679910969019264,1.0282231793942747,1.3048863885859676,1.6941565178166362,1.5899065806012986,2.0638325944460107,2.3084704898693755,1.8006150512498078,1.7341874648016578,1.4777359405995076,1.5109270619871895,1.2665283396077727,1.1759037360676818,0.97949980460898,0.9333731903523831,0.8423140999643177,0.7294744418196336,0.7054901934777248,0.6895899973413535,0.6630509513111301,0.605777439710193,0.619984444274085,0.6448946937931921,0.6213658982663325,0.7552148079614334,0.8316661000204817,0.8555482564868289,0.901462855542335,1.0723761718458504,1.2162417292948284,1.2241519400998864,0.98540739768771,1.0110994654167036,0.802194362578524,0.8456705285730557,0.9581517955312414,1.351251801812341,1.2193254677411771,1.301948628175884,0.9978998071543468,0.9715319254012998,0.9283910928846268,1.0829897767690428,1.1368088635143967,0.9676374223854414,1.0475904515669874,1.2664178244791018,1.1632238497760699,1.105715278659036,1.4446766706183816,1.4619841488964669,1.258450589660364,1.401642119217172,0.9974836141218193,1.0968321629225128,1.0314509106066694,0.8826505407561825,0.9498315829521405,0.8998997618668175,0.8904475750368646,0.8516529042391913,0.7847034458831724,0.7248300074700964,0.7624427916419584,0.6404430121022401,0.6375864860235767,0.6893033989757847,0.6271566162586916,0.6345881941443287,0.7031404828329149,0.9351208769837765,0.7894550001304671,0.7691706117028294,0.7243234981860202,0.6628759101895147,0.6872251825212691,0.7621771015701014,0.7376001358691651,0.6709289374537487,0.7774758835622398,0.8358550270111774,0.816494592969202,0.8045453534944791,0.998424715958666,1.1347150954716163,0.8771495370113145,1.0387647608294668,1.1576881688466734,1.409639050470594,1.2263236873888284,0.9280530371162059,1.574414697778203,1.4661485273136183,1.1437196593316417,1.104395576584931,0.8580824999806671,0.97205726768309,1.2677372467584422,0.8267706881145994,0.7768432832679117,0.7056282041648991,0.7103713806525109,0.7040556800130877,0.805222454973979,0.6527214042098209,0.6658145625885177,0.6738198042001565,0.6055757534497649,0.8847400983943092,0.7607145097806087,0.5727001031495703,0.5393893490061787,0.9784857525689262,0.5293988777594681,0.8960835233130476,0.5709405190729486,1.286070297016495,1.4926554391393352,2.3966588146517784],[0.5311215917754873,0.5628455706711951,0.716899694373968,0.6070138143670666,0.6549198296007377,0.6185054802734709,0.6382041843595464,0.6871451113187367,0.6471326560324712,0.6685197033412318,0.6689907676589896,0.7217058213899497,0.752680929159187,0.7063762344422777,0.8097915106561973,0.7888038115034155,0.7995166769055986,0.8614144089775135,0.9550646782173546,0.9655483072929785,1.0532434678733338,1.2957294307821274,1.1767508779120828,1.3772763694966783,1.1298484929800665,1.0251833248306306,0.990552262376152,0.8988418552954444,0.8871458669722886,0.8257876400436642,0.8806857344747078,0.8121452542208693,0.8531853457138256,0.8837402455698772,0.897770586059719,0.9179865276102241,0.9317669097028274,0.9764348600710352,1.0084743734793293,1.1131895748160514,1.1348391843334094,1.0950611309879226,1.1682515312109631,1.760942558575792,2.6619126612876722,3.2070284788623478,4.230992551416414,2.773399473194271,2.146706817634848,3.3404321447385543,2.8946011551179103,2.810287113804846,2.669523136838851,3.24644495330497,3.52837666967598,1.6642669135849326,1.4332973653718541,2.5771877289415865,2.024457852225775,2.0494102906806524,1.4109439539562563,1.1218059492096983,1.03686850915358,1.1634280782034159,1.0959576636874582,1.0470861450348903,1.1084103572407402,0.9025486527340509,0.9305170215761956,0.8907705563694542,1.083519089269634,1.4758901014566999,1.0038562919366198,1.2211035553157783,0.8902960341348587,1.2289598386560736,0.9270841753177289,0.9398470097705254,1.018732122202974,1.0446181267734176,1.0036832359521641,1.1453471359052645,1.1576525268187938,1.277600638630329,1.2126462142340697,0.9949454265855526,0.9989271191598189,1.017912073589268,0.9529421366881231,0.9410812319748537,0.9245507002308502,1.032235565586416,1.0726240159505265,0.8823543477070875,0.8328626070013433,0.8704085812122253,0.9122063066364061,0.8015399945334876,0.7560442157748563,0.7641185393936553,0.7836422428646932,0.8335242192984254,0.813485429021525,0.8965525062305564,0.9282825917656274,0.9685851244841704,0.9897033996277168,1.1763008814430869,0.9845821195109046,0.8956652764019755,0.7771924988373812,0.8281183741064756,0.7437302202266833,0.7821509860706324,0.7697263665695657,0.8198294083938067,0.8281341435232233,0.9134159264171371,0.9638626095850095,0.8841859404448331,0.9075597331222409,0.8234613076186001,0.7979018750709115,0.711353220087121,0.6525453009948282,0.7687175102010783,0.7660768216972744,0.8420364160593465,0.877633898547936,0.953400568034297,0.9855332620697537,1.0260187232828826,1.1116962165741642,1.0209031627457386,1.0432161217860119,1.0317263598006492,1.2136940609466984,0.9330833195656022,0.8797026889696491,1.0608744451500183,0.9733875590055193,1.1651897475721285,0.9854392626231107,0.9450743277211681,0.972548413262391,0.8919167181342423,0.8713727830163521,0.7978962696401949,0.815080971983489,0.7288649627860918,0.7669128636515208,0.740331968135302,0.9077515568785474,1.1626966932208354,1.0043643402224367,0.7502069096818924,0.7516476143743628,0.7680211644566735,0.7924629907253794,0.8729873139326778,0.9124363608089984,0.9158727097310245,0.9629623755826947,1.026291848159306,1.1008587862402486,1.254773389090431,1.2154829092892545,1.5243449137074783,1.4884229228271744,1.2189900963896227,1.1185652853125367,1.0513652917035137,1.0368973663740366,1.0039244075041835,0.9673330463043551,0.9294202912369557,0.904286133005942,0.948602007195734,0.9906963090561333,0.9909265156254411,1.218256718587712,0.9832340177523123,1.1193338162463364,1.1574435420429712,1.1542052534835057,1.2074100980115896,1.2044858916965646,1.4656832435719795,1.8605372843351344,1.8192235165194237,2.2661224834161384,2.5545700279643246,1.920899750501806,1.8165692939854756,1.530339774701705,1.5263388690756639,1.2945542408581325,1.2103853208779085,1.0014907005602223,0.994621510128495,0.8815122753819858,0.7935408937808645,0.7794030001778548,0.7081604323889146,0.6785697667575199,0.640150387469505,0.6248098350335448,0.6325508733606487,0.6319012941607705,0.7687893397641686,0.8172916661157744,0.8431453343193331,0.9304646911790163,1.0808642717368306,1.2019077361293278,1.1939929225870096,0.9733498069686216,0.9723952660016631,0.7614686049905671,0.8020059691759541,0.9017861530256222,1.2998059498384715,1.1781457493548049,1.257515768706469,0.9651737391339851,0.9527482888578059,0.9258996676594642,1.0865229534416805,1.1205294756381148,0.9849742134313997,1.0492308509308375,1.2695110703210004,1.1469149769154556,1.10927435696073,1.52305410271128,1.4838913969789327,1.2447587472442474,1.44157591831854,0.9993523307835694,1.124129659514779,1.069968009852214,0.9081190809555839,0.9982068000788933,0.9114878749648714,0.9851804698317274,0.9049294962474156,0.8030747399255653,0.8163940029709462,0.8523714458270465,0.681936030408235,0.6898887637008762,0.7773726322139984,0.6812825570794914,0.662370770399825,0.759142493740005,0.9694480629671473,0.8191119327932533,0.7772750744356485,0.7057318617389117,0.6369947991355585,0.6693311290959963,0.7200958093439344,0.6869035603576398,0.6470479779782637,0.7415775081603865,0.7865778853137239,0.7618962774701686,0.7764779472767919,0.9727581867214846,1.093017789079282,0.8517649553738121,1.031378246810704,1.151785202184408,1.4062325352988483,1.2279666016588342,0.9253128289247737,1.5585778072190744,1.4312732635249055,1.1050332527850901,1.0551957279957076,0.8245277060230221,0.9376458173080738,1.1956335825535287,0.7742653110686136,0.7695847569145224,0.7625415861070813,0.7343109996318947,0.7323574834812715,0.8474185560856113,0.7242122989673654,0.6968262469881025,0.7605891221090296,0.6782893840434695,1.0273144142907382,0.8076688281456392,0.6477266922197472,0.6301316306770778,0.9879199396457937,0.6066938995478001,0.896005341064507,0.6429525090966807,1.3955892728805328,1.6979920800071562,2.6535895362356685],[0.7372589014520521,0.779816286073522,0.9203683291082071,0.8016479070579898,0.8093959036353512,0.7475706740445657,0.6980991746230306,0.743826097140039,0.6658640905294771,0.635852243422778,0.6278816033301058,0.6826143011163006,0.6792065647896564,0.621080832338306,0.7023969621805529,0.6798184017061566,0.6705188229756216,0.702435157459576,0.7490380656409609,0.7397565607083848,0.7970684282955404,1.0231760645091414,0.9689196727723796,1.087500511085746,0.9551439727385017,0.8073600338432567,0.7733676867948477,0.7248558609796578,0.7459608890666831,0.7008486438174143,0.7474259067420407,0.7150026920381175,0.7440321939099704,0.7399027185007,0.766794747701833,0.7543993748201481,0.8172414736106051,0.83568228321656,0.8300946853018921,0.9507549285390727,0.8969246248188426,0.8280010019540727,0.8624431041955247,1.4292456597733934,2.2960858617564894,2.9351698143745373,3.824834356717203,2.339553773837324,1.8825250967444411,2.9862969091308376,2.4680953511667285,2.479280990348716,2.274654912627992,2.9586052664962685,3.4763212435158115,1.3980847371203424,1.1402364237393678,2.4053563180035136,1.9057601400412945,1.8082005902633498,1.200822253194394,0.9093869353390511,0.811799759278884,0.9021572898963123,0.8535712451205628,0.8043420040641881,0.8573802832147629,0.7034112731098692,0.7745462911684848,0.7870715988862443,1.0031439626721057,1.3435937034299537,0.8753176804771601,1.0573906705332814,0.7346872053090646,1.028922317421227,0.7358086419930103,0.7523287332427205,0.8329609265037345,0.8345714695199374,0.8604724245372906,1.0426687700581756,1.0676933703050164,1.1733904777738555,1.0984900390530856,0.8757973577671795,0.8281784230703633,0.8863260915654915,0.7730365213826454,0.7843969303691498,0.7418326339747346,0.8438519517934903,0.8976329878446656,0.7335040239771277,0.7102068366141119,0.7545883290537055,0.822611727326042,0.7238944218328214,0.7033517180341939,0.744463728220377,0.7371566819534875,0.843165337015368,0.782417580362027,0.9062670909891818,0.9475990155576818,1.0054768936324598,1.0647920450762214,1.2644513485497608,1.090082186699032,0.9670626060448072,0.8662721656904828,0.8582733694313351,0.7688441172557312,0.7544715537934484,0.6895111226549687,0.7047304537968861,0.6671320447403977,0.7239767155690742,0.7727567465473202,0.6963303836938117,0.7284013798843186,0.6960629176805354,0.67400060344928,0.6244012221691292,0.6322899023846237,0.7788941666159723,0.847237848180112,0.887275320198573,0.9413582169400344,0.9989561090744631,1.0567996617909523,1.0865582013002968,1.1441969472920146,1.045573753950314,1.0671915445670925,1.046110673263492,1.2346073861014035,0.9367191446626824,0.8066484128542545,0.9482846822068365,0.8202611312801771,1.0145016367167208,0.7913475835666042,0.7873517516547206,0.8133583235970042,0.7574810486349454,0.7548263904466146,0.7209856448122788,0.7837609589516207,0.7227062437430134,0.7930387422817471,0.7704643461826598,0.9711586862351407,1.1561376288261622,0.9765866842250744,0.7656907425323292,0.747242262292256,0.7826839085637508,0.7633225504834638,0.8764796994769329,0.8778714671154977,0.8323406624092513,0.8644773728502871,0.9190869692977603,1.021617964895557,1.1807735798698737,1.1768870282746613,1.4884897132459762,1.5037698094323613,1.2381793584218312,1.119339545607646,1.006540017597638,0.9894292997892686,0.9536071713925779,0.9092732448341961,0.8972878425686968,0.8414822709148241,0.8982443288567247,0.9130074553856753,0.9540780883614033,1.1738812880667961,0.9829264307658171,1.111744192457119,1.1330231472406855,1.1181824261004987,1.1221581641063112,1.075439858184249,1.3145326454653532,1.69843836654057,1.6667482501708255,2.1310346429570437,2.5184636286269284,1.8841175332289835,1.7930844556512837,1.5101385177617526,1.5117884488843574,1.329216273970972,1.2733914187511202,1.1115364038097304,1.1117024212603481,1.0423817820709032,0.9620687006256731,0.9374004236575255,0.8897370856285951,0.8807120928626178,0.8444441182815304,0.8288228593753754,0.8367937512451589,0.8378595713477801,0.9432068223023423,0.9706644484850165,0.9739195033401611,1.0548499800358917,1.1679843074159786,1.2757040778366304,1.2788180619854441,1.081536728262322,1.0832552502631043,0.9065682919699263,0.9448024271486642,1.0088896312435338,1.3926345191985035,1.2746756513222495,1.2930235622996264,1.0787367985134462,1.0876548932113461,1.0650624604311862,1.1809614514437174,1.2056454852372693,1.137031374260212,1.1434701671314806,1.3126910953106785,1.2075978193114916,1.1956343138817598,1.6192797106513213,1.5248209122798702,1.2742700753429228,1.5112366791972327,1.1137056861730994,1.2077344939231576,1.173343574405302,1.049677828947758,1.1311716808695174,1.045352830596136,1.1331048779517818,1.0533314038262978,0.981600039066206,0.9957313693038538,1.0075705923982505,0.8821948323442906,0.8837467408356348,0.9461076486760398,0.864254857657838,0.861351931532916,0.9113667184897706,1.0472428204578474,0.9785358874183752,0.9406933454360035,0.8808661278210087,0.8361648782688765,0.8681796418481431,0.8950066776752446,0.8712537804578757,0.8468415570654633,0.9094132938432219,0.927606284378279,0.9043252739906801,0.9342911986685053,1.083115629698542,1.1373548753117142,0.9944838440875156,1.1471169632495442,1.229695003752061,1.481467676983117,1.35444690255297,1.1190214485944443,1.7110893134248415,1.6063442262800716,1.2040585792150236,1.1940467192471025,0.9975621608938984,1.1011958243632463,1.3874281923614946,0.9993853793615493,0.9886723283024353,0.9988112394023109,0.9174846371090419,0.9057982037974182,0.9781779415890961,0.8525999780581993,0.8381904889742948,0.8916836990172626,0.8469923130451563,1.0849328781891499,0.9095571376167623,0.845259220324187,0.8006275645134261,1.0291955982050132,0.7980373177432101,1.0090614341604445,0.81510168003733,1.5480702946410698,1.8104365060751346,2.85306543735858],[0.6882275552131766,0.7255078062847348,0.8648846633164519,0.7247616746998924,0.7685834419927198,0.6980117207507165,0.6677954050917312,0.7363194993807523,0.6606274838779567,0.6481493711763338,0.6522534782178555,0.6919063608382476,0.7073750967110094,0.6568678156256909,0.7427203237661639,0.7263833484540048,0.7354323879668665,0.7784920632017247,0.8300264141956969,0.7891448305775967,0.8443543348491304,1.0281246767709626,1.0153450924176235,1.1046146832693378,0.9939820026765522,0.8599765945292563,0.8274346142651052,0.7865268191091966,0.8072366094149032,0.740893493625976,0.813091198134218,0.7638015646909473,0.7827605832673782,0.7948247182165173,0.8194236514332393,0.8107432491999369,0.8563463960551344,0.89404622446526,0.8632586178487646,0.9849281057850185,0.8960870633396891,0.8592292274948943,0.911683547391366,1.4347583124769612,2.194187757493459,2.7812486527334834,3.7882975606916687,2.3748836809552123,1.886131939663505,3.016070433484818,2.5667895007924026,2.54876633926496,2.3488962352018135,3.004605433772892,3.610997133332932,1.4550482791308912,1.2216434898184634,2.4914653586978046,1.990719273839121,1.8751348528946474,1.2590384719099132,0.9892318119901753,0.8660805497982708,0.945135353451047,0.9222662907914603,0.8469164431266442,0.8886003008842165,0.7869872919466959,0.863435418497573,0.8673533983781972,1.0760111668894288,1.3932426972695195,0.943912265711083,1.127123747731302,0.8214887715294225,1.026371407952806,0.8163852139566407,0.824941440433302,0.8850245002876292,0.8669072956821452,0.9206496003456232,1.122450707958787,1.0639138951009968,1.1956312344975444,1.0864057389259567,0.9044917514205296,0.8708239008717984,0.9195839194023021,0.8308016400763203,0.8443906510972086,0.8065744031530876,0.8895432251317504,0.9377536710025632,0.7878625772038748,0.7689086630033666,0.806048037844343,0.8665915278294375,0.7702994629002321,0.7337890397694055,0.7569985736317211,0.760591701916742,0.8705130292020861,0.80831437581912,0.8942702707022891,0.9708975788705023,0.9912447675858884,1.0523596435655385,1.2346484688838024,1.049968166680594,0.9575016451013112,0.8519911999267464,0.845217680211311,0.7604313136092076,0.7404570950334624,0.7073865892682941,0.7294675739457018,0.7149951820641096,0.7835249573451658,0.847088924768929,0.7644727040580978,0.7863917653870615,0.7412214539631657,0.7153586634152355,0.6461594245888295,0.6264681914151626,0.7510035112148556,0.8297915313624653,0.8642289192824095,0.9117661459154606,0.9735247808299118,1.0307570084640907,1.085297293232126,1.133233531776563,1.0436173172444438,1.0394559273463262,1.0193239926546123,1.27552606316668,0.8953403689550182,0.7825729186193435,0.9406267067675623,0.9157540121030238,1.1035635383445115,0.8940233563743429,0.8424012411793648,0.8493353698069379,0.7884016346054847,0.7684830004868785,0.7258308188098171,0.7787723717866688,0.7230404276919392,0.7861286302706155,0.7645086007954924,0.9800778458891419,1.1338421234217086,0.9494402013425302,0.7789484506651476,0.7719015338605826,0.7917748061175668,0.7879306709392938,0.8749893486390941,0.8745595614237733,0.8519680648284137,0.8791747189491693,0.9499075462991996,1.0717659434651279,1.22085212898405,1.1994918889815327,1.5597747904443247,1.519324428171009,1.1900999645919252,1.0895609855007604,0.986572996138323,0.9846197599489412,0.9619689571964457,0.9236763712456204,0.9126375381790631,0.8577648364021443,0.9125522841107565,0.9297667377561216,0.9892993322640825,1.2254182723007405,0.9790773002500631,1.103934261174782,1.1454676140660707,1.1253404263610574,1.1428070834947806,1.1013303823925853,1.3643006408698148,1.7228086620038991,1.6622388118460947,2.1477219831230903,2.4490915041882992,1.8819789266435567,1.8072285602272882,1.5501999340222758,1.5762830625721211,1.3593206089912333,1.2894229813496803,1.1139423384842624,1.0842476817932758,1.044439110123243,0.9527554778341782,0.9106290848286701,0.8906755889952285,0.8902540225021235,0.8350452150415113,0.8422837157574442,0.8580091432636013,0.8328330936925691,0.9339268517233154,0.9826651204838955,0.9788400376723343,1.0319713940881055,1.167339127460375,1.2877014297667262,1.3066620624040068,1.0936223672694978,1.1368412052491288,0.9492566654724234,0.9861999050986883,1.083598843408245,1.4179220490814057,1.3870052147832561,1.307945373822528,1.1470117812446705,1.1418472638110615,1.0997247171665918,1.2434315052612122,1.2718001008804176,1.1758548033723712,1.195574888491202,1.3828941318762429,1.2589439064030226,1.2396537305821866,1.6550113235228767,1.571569015004424,1.329637299088305,1.5068458077844216,1.1300164068376937,1.2357275013542794,1.2050218135878588,1.0814041967595591,1.1490432324395974,1.066651230076679,1.1245533973726278,1.0605035963060108,1.0119220260045303,0.9851016738184586,0.9945582171427029,0.887990533226708,0.8750736595582126,0.9166774982812186,0.8413319496856041,0.8484275690380926,0.8738812831062347,1.0070167750415588,0.9604959342065723,0.9298397265675405,0.8909620688415847,0.8495336493876842,0.8926328854509094,0.9301398055195378,0.9023962411714952,0.8649386546274035,0.9418845248267186,0.9744802806702316,0.9492193484423126,0.9599627640309312,1.1324580200502103,1.1993849528379739,1.0218569513692812,1.173115809023438,1.2797678942989053,1.4913081939082147,1.3801884672819646,1.1439845470640957,1.7919112591912356,1.6652875875677051,1.2858957863211247,1.2637174261689452,1.0444180124263311,1.1367224515281373,1.4683000765860097,1.0933873922579724,1.070082127512111,0.9705961315810989,0.8993039006246506,0.8948231822213781,0.9524919434980964,0.8320883403392074,0.8151638617811255,0.8534683969780601,0.8199993444529675,1.009125974950659,0.8831169093272374,0.8197656763258703,0.7652401990852079,1.01221794210138,0.7549914262831856,0.9843674857814232,0.7767946669245651,1.5051062708649419,1.7277287176833145,2.7608019820827403],[0.6524939891884272,0.6940058337145969,0.8510145631335462,0.7323233358532277,0.7929665177540431,0.7521001063218868,0.7418352630054473,0.8070439301296719,0.7560990334838468,0.7795131091331954,0.7870844271676272,0.8256009480525536,0.8703508992092683,0.816594531993236,0.9112415540110669,0.9018083072881647,0.9024361570795979,0.9621202669050684,1.0280413704844409,1.000377880716329,1.04042387046461,1.246415368399285,1.1527411663887088,1.261806993077932,1.115253797817259,1.0288014170780946,1.0459761981648,0.9840305468451781,0.9951954983391013,0.9231934522235026,0.9981655864901186,0.935705410804181,0.967286385830681,0.9926027733535026,1.01549899046337,1.0225744161391903,1.0504349991860877,1.1006695324883697,1.1002583628453355,1.224364082820848,1.172113047949945,1.1327411031563432,1.22886494573866,1.8112907591015854,2.5546664581497174,3.0781036265850257,4.197878825669823,2.836970258565296,2.2229564184363704,3.4253463023187667,3.052001953783467,2.976221824314948,2.8301900779402906,3.4348273405112204,3.77881111766639,1.7773309864999705,1.58434015077553,2.773795612368079,2.2060340968598253,2.1546438763910336,1.5094120675165623,1.2248877098145121,1.0896808661375825,1.1722489283115083,1.1461917288920096,1.0771589664917411,1.0793928833263096,0.9781272912493562,1.0217847340743473,0.9992272588404599,1.1934699472379464,1.5458180799848713,1.0914483121018659,1.3220719898937912,0.981840506382101,1.193337964747213,1.0219322003010414,1.0457261646756468,1.1096712244367792,1.1064468896743331,1.131198510800564,1.2878128539441334,1.2546390064929953,1.416193918598511,1.2869283834175738,1.1154170800496048,1.0961416575939384,1.1187260751967436,1.0464055245378836,1.056498146555979,1.0269784104777393,1.0848630603252765,1.1573742607579647,0.999538049287549,0.9581725680812861,0.9839430521604399,1.020636894954593,0.92772902920814,0.8771786523178758,0.8724288560297009,0.9109558214653677,0.972277395377699,0.9576897966972394,1.0078514948211803,1.0849776749081026,1.0942232474747706,1.1589138351883583,1.3321921131937358,1.1133055266700143,1.0155579611298704,0.9066175048278721,0.9284281921960971,0.8471846008958533,0.846583986361932,0.8652808462980578,0.8865108062243238,0.8935931098901503,0.9579547132301686,1.0066282771291148,0.9547752310170701,0.9670766113842016,0.883163665933802,0.8509378528365168,0.781947849949803,0.7378737822406012,0.8573348624046095,0.8839994308967549,0.9274551211666624,0.9728366286708154,1.068051468494597,1.0857526834739724,1.1564086146251034,1.2247727781153723,1.1480373609046033,1.1381375777921392,1.07814165819291,1.2859899098223728,0.989595637529674,0.9336596526515811,1.168232254701716,1.1008768506769577,1.2287032799169868,1.0892709250296329,1.0377654353370325,1.0660517976179489,0.9949827687472017,0.9562879678709614,0.893661415980868,0.9095197338880969,0.8349476701474885,0.8717977405822213,0.8605900687633387,1.06770298763078,1.1858683665999354,1.0310612915311843,0.8807806518351606,0.8896885580716883,0.8915489473629717,0.9180006157308627,1.0031621297861493,1.0258837600594384,1.028629711542334,1.0636065927504272,1.143242122422261,1.2416441132094367,1.362556567182427,1.3138818326709483,1.6022766483418382,1.5047569290628875,1.2476155222388265,1.1935559400929443,1.1456062178859845,1.1513192660532845,1.1318061614218333,1.1052543480346326,1.0741846372810528,1.0239004517317303,1.0738345852331055,1.1151341585101784,1.1624890568495794,1.3796609896108127,1.1140504585136275,1.238913081760555,1.2738556068743416,1.2713155747356324,1.3006974121711892,1.3157812657629107,1.5584350488797625,1.8972335958544528,1.8642485607594412,2.32757526179349,2.5746060070048915,1.9902302501412257,1.8833184426958764,1.6465728424289223,1.6687527049543605,1.4118755142564874,1.338903249491883,1.1457190716650776,1.1093529619424456,1.0732127686814354,0.9815415856041487,0.9338377651882425,0.8961917550608062,0.8945963485522829,0.8342785641653245,0.8251418705462855,0.8370057192955168,0.8165918394473641,0.9127877380912399,0.9526608376056744,0.9510470469006365,1.0114711578129372,1.1476096995365797,1.2637123291970451,1.2798100054777513,1.065015917126898,1.111232241370104,0.9218306961875374,0.9609522149075306,1.0875041268813765,1.4141220096586664,1.4200767127922314,1.3155950861298173,1.1819593056292863,1.1903458313248563,1.1486052812946315,1.3134832049935998,1.3264761297416683,1.2226089258343127,1.2611216412207178,1.4602239728814401,1.3131076608940269,1.2974693636469183,1.7439959316654567,1.6450888563451875,1.3862644318020578,1.544463342790622,1.1635055736009137,1.2919655612284309,1.2704833434860883,1.1326664364864418,1.2019743417978281,1.107940843617525,1.1808368274912893,1.1047022244461926,1.040284061344938,1.0188930416228226,1.0260788400552987,0.9007723792794045,0.8809516434374861,0.9210715062078954,0.834893564390994,0.8380369551443372,0.8624868033379847,0.9987652145831264,0.9338775090174853,0.904909863654025,0.8694163742930688,0.840376112131113,0.8995047565574323,0.9460321890116281,0.8972020860305262,0.851718176100826,0.954914381312045,0.9870876236721431,0.9475454110670302,0.9675942971345574,1.16709915522993,1.2222380818990197,1.0149002033560517,1.1926759944150578,1.3128327828370805,1.4849011735994242,1.3639876180575388,1.1085940030735506,1.7827732289515703,1.6252606385646007,1.2618163522580832,1.2205191486291649,1.0057524447823496,1.1020058322611277,1.414140476401581,1.0460665038940264,1.0256635334983744,0.9367514515489078,0.8872684524777587,0.8958833125025348,0.9699892162207059,0.8589397444806837,0.8237816275818478,0.8842763948212654,0.8430786272154299,1.0419786207320458,0.9000809341162815,0.832064557769564,0.7847931046194345,1.012351373653583,0.764664904117676,0.9814055072306876,0.7859378373596039,1.5470573230442823,1.7938351392492142,2.857106811321765],[0.8811972800573563,0.9190530208558111,1.0720005492328704,0.9737359420016793,1.0125257568169768,1.0100086375997326,0.9804103812779681,1.0286896859794707,0.9805192743896786,0.9839881648450142,0.9741015610929435,1.0238477708436162,1.0472121062205209,0.9855264049405876,1.0513015940890889,1.0431079937288439,1.0154763028953995,1.040380686072055,1.048957101422464,1.0412078296323808,1.0357370478880992,1.2496377875505518,1.1206940293461776,1.2379945096467837,1.1063947847163138,1.0253999051204752,1.085139833196848,1.0642561160655957,1.0911318529869434,1.0513552778352087,1.09605303655557,1.069369635418266,1.1025733739005645,1.0875806370630479,1.1146061667752045,1.1070104552482072,1.1708532375260807,1.1767002285951935,1.1896160980182904,1.283810611263421,1.23917773069072,1.1627478076678537,1.2266000565002386,1.816831325105845,2.6079112095175927,3.221932856114039,4.177530655891836,2.7662838593242394,2.247664352295666,3.388876707294338,2.9370244919338053,2.9093229464987087,2.752292556821001,3.425659203813319,3.6686061807141765,1.738099351050887,1.516766008950341,2.7318293387043644,2.156432168659344,2.1017461901423107,1.4814237861163218,1.202736681172636,1.1041705088711145,1.1511493136445017,1.1156496029386713,1.09373793614669,1.08079070871496,1.003998788775159,1.0352590110699207,1.049626552094686,1.23626482703355,1.5786661333631187,1.129108651379791,1.328525093011306,1.0113455927275121,1.2189738537200836,1.0386810200875287,1.0791542275445585,1.1567494939445302,1.1547503840349291,1.1957839486616986,1.3318718699614556,1.3810401135185062,1.5161215619040556,1.4031447814870233,1.2271656163254359,1.1692969927429326,1.2154887442036955,1.1068071239122745,1.1221461507521309,1.0864168191645733,1.1304807749705252,1.2314913025619092,1.1029571273424021,1.0762442834760508,1.1027355550514784,1.1531527782899493,1.070238871655745,1.047298853722716,1.0615976953657331,1.0819383758879109,1.1418785254996942,1.121350674472434,1.2048067399381919,1.2307866174121818,1.2820893741849115,1.3568145335084696,1.5303990341290927,1.3189597539726106,1.18095370833872,1.1056823327800098,1.1180544446046652,1.0559234719544515,1.044661127969039,1.049264637160035,1.0501776862048906,1.0174490291023142,1.0366331062266825,1.0199388001703833,1.0286310252294497,1.0509819887784801,1.0071061413561715,0.9959553748551492,0.9706866950757362,0.9584657667914186,1.0778840147855762,1.099630332063779,1.1205179095931659,1.173707068541121,1.264338126531198,1.242756014692013,1.2914084449826406,1.3662284607465087,1.2984966806801566,1.3052957971200059,1.2338027918890693,1.3150323189444661,1.1728975516555962,1.0917537674932571,1.3646268325092286,1.1618719975648897,1.222343746652577,1.1150567131702567,1.1316078559556801,1.1551058904104392,1.1197562451378744,1.1129627996018858,1.0761367099151216,1.1024839488791747,1.0414839980219397,1.0819399259435367,1.0822628271571124,1.2665025388963196,1.3538227665269826,1.223123737645731,1.0787226596769242,1.0805420883480805,1.0868029725849468,1.0920878832245147,1.1914614749997463,1.205016540312404,1.1691058698789727,1.19811658255977,1.2478733938304447,1.3141414911944194,1.421513158425489,1.3952112937389973,1.5864520864346006,1.5511309190843152,1.3846291602575431,1.34526626461226,1.3025947301965315,1.2982599809740076,1.2766414656577434,1.251447953222853,1.230261518569665,1.1752404816715398,1.2148083288443918,1.2440915956102914,1.2856376872423567,1.4673163641954157,1.284458561179069,1.3882565023383004,1.3818679245120375,1.386427364398812,1.3747778239419177,1.3812270665330844,1.567859839819764,1.915050517421938,1.927470730590604,2.3533284170081488,2.704882358420595,2.0455158128421194,1.9332419159648386,1.681686540535721,1.6818812625561435,1.464228082059658,1.4177250374910793,1.2719723583661207,1.2645258544936682,1.2215534511171122,1.1622371618845384,1.1272764107177864,1.058695935615916,1.062781550755168,1.032128305643662,0.9943647054429716,0.9907019353672579,1.0001704802072995,1.0820588608988768,1.0786808142366016,1.077090879482622,1.1687156125670615,1.2462885646876734,1.3311856896776941,1.3410212355929023,1.1501778229216941,1.160530859624386,1.019962687362858,1.051968763250718,1.129980514773067,1.4986052263117577,1.434559277195576,1.3327542171780717,1.2218328818272002,1.2700468189779541,1.2614306997476026,1.390220547375764,1.3740973063535682,1.3267575621408272,1.337627612969851,1.4920926698322818,1.3564833311042739,1.36484781039197,1.8119725850327695,1.6647258319434248,1.4064777659974397,1.618603819562899,1.2680148911016258,1.3859818579797865,1.3784094360585772,1.2571933935490978,1.3462121751751654,1.272123648567294,1.3810876762858555,1.2755559929238578,1.200767715372537,1.231597180460029,1.2263226798436437,1.0854474187902985,1.0836808317388058,1.143248984404338,1.0481254030815332,1.0323852082513092,1.0713214514558853,1.174139379729308,1.1101181554294677,1.07135176058865,1.0194048276183805,0.9974630466451613,1.0496965741053241,1.0728551779800934,1.0237926181789205,0.9992420466650556,1.076354898115773,1.0658174415390085,1.0290206168896932,1.0710417162594479,1.2135994742381604,1.228212542119344,1.1005956036184195,1.2616234965164783,1.3558325819572552,1.5438712836528607,1.4495462489528605,1.2198456988682447,1.8310089325062842,1.6758597952550685,1.2826510282792567,1.269173055184473,1.1109604127350716,1.2145921211913897,1.4825260036323662,1.1416791095175578,1.105996894967043,1.1308839360934884,1.0436182079778356,1.058882400922996,1.1388477067333125,1.039443826723703,1.010881374020265,1.088844713968928,1.055274470654205,1.2335131685805294,1.0734660870975834,1.05248837184068,1.0105133568902844,1.128589206420771,1.0074480174557698,1.1617556162601825,1.043823414130446,1.7778142611376992,2.0526993461651117,3.1783105263803484],[0.9999397429692425,1.0417380699608474,1.1883287219638807,1.0314673828316412,1.0843114780278653,1.0380712546891377,0.9743585169263141,1.033265191643815,0.9554640676807018,0.9298716439593077,0.9325277888152307,0.9798900197828359,0.9719499742703107,0.9354767001758837,1.0109954165574755,0.992878755638584,0.9895267334626199,1.0338376470182815,1.0620350932064866,1.00106202777888,1.03155839901898,1.1266145019352578,1.1882167935699732,1.2571448792490918,1.1737548376351514,1.0675068423917051,1.0204574256821535,1.0177279674092063,1.04594214261889,0.9789525708647062,1.0717454857435038,1.0137652166972695,1.035000737184214,1.0295511011977374,1.046378339611349,1.0303508570068143,1.0764066465887352,1.092675835441846,1.0373846209104824,1.1180508108113918,1.0185430046970259,0.9881449516753266,1.0021969239108748,1.4306090104712912,2.0700594991448975,2.6943541125662605,3.634181599702266,2.276122564232974,1.8935268510844994,2.9801620938725493,2.515073311884649,2.5544274912972673,2.3394424787587513,3.0694056717311096,3.6655621478814546,1.489038741090652,1.2617608639961588,2.5450343857773374,2.0377390345590056,1.8869910298199493,1.3000087253856514,1.08919443732821,1.0136320753893313,1.0785603333124945,1.0523233705190569,0.9900991622602286,1.0715898858751045,1.0239663160535,1.116505801534582,1.1187853878250615,1.3077531777529643,1.573734599730856,1.176786447533018,1.3485458771003314,1.0585359695575058,1.1819703159573332,1.013842495475141,1.0129905464083275,1.0474316447593681,1.0058741389751296,1.0892369074563872,1.2385334589862826,1.2160212206038872,1.3634602421081816,1.235051783819157,1.078239576596904,1.036135436175714,1.1051741066865217,1.025671995980964,1.0497561192052869,1.0246229597116723,1.0867334639656077,1.1366705907635395,1.0404081075352876,1.0418932926042275,1.0732625932597912,1.1220063864612522,1.0405333779938502,0.9957381505749253,1.0101781494766944,1.0059788571981274,1.1041246372630789,1.0377642362948145,1.1261379661606556,1.1789241909957175,1.2333332589065744,1.3434802431147939,1.5428669205713688,1.3562886459346402,1.2006248277025768,1.1293830465257255,1.0908261625201356,1.0347443130488385,0.9869856486176278,0.9735502350358184,0.9778389460323127,0.9607067170613379,1.0208583872080448,1.0618258327895609,1.011279089668359,1.0070210919369271,0.9829755937048152,0.9718845306596049,0.9278098395177605,0.9237332730508109,1.0406379055773607,1.1287220948577632,1.1125132125375998,1.1790571691265368,1.2333747485062558,1.2830953035623305,1.3303420058193798,1.3645937948767024,1.2588150313857147,1.2524665230712078,1.1534955986072675,1.3282645704501537,1.1038672412319892,1.0608716486031924,1.1172874192376385,1.1677523849274591,1.3157949435941105,1.1340042520555358,1.0631580833978054,1.0386429029357884,1.0008694432440954,0.9858949795090864,0.9623963605976921,1.0152137934390915,0.9949694269840854,1.0480215845654748,1.0504644356172137,1.2605083073645391,1.3165336072613336,1.1518544995120192,1.0412569868313042,1.0331151767634028,1.0426022673581283,1.023161821974611,1.1221169833373323,1.0882417584145794,1.0425296002860065,1.0540607834464306,1.0991142104722116,1.1743703330860842,1.2950653702538946,1.2801121369348833,1.5325597770850878,1.5059637182194685,1.2620767619216902,1.2443495288723903,1.1516276294822705,1.1549173814827933,1.1387235325791594,1.1108554026098814,1.1151598012029131,1.0580506589212944,1.1015708377071376,1.1059185592937781,1.175587734978617,1.3429015248745955,1.182634485800779,1.2801188305272881,1.2771284783956078,1.2658853911468924,1.2285844736395521,1.1918792501811546,1.4027145674922217,1.732508884001128,1.7099983219009176,2.1663591758264875,2.5180385430583447,1.9478562605840246,1.8729946275095386,1.6453622713634275,1.684350473486438,1.503784694016686,1.4779741833430773,1.4068032636509513,1.3472540785669005,1.3778975063152226,1.291956629326501,1.248548639443083,1.2614108604107792,1.2671687688651292,1.2103811456940932,1.2328403374526395,1.2427918771337707,1.2086138699785354,1.2691348843003472,1.30016479591752,1.2931800441776915,1.3214716773156658,1.4000411309164515,1.512671249946045,1.5442422167975813,1.3836229813842316,1.4418543610458225,1.3049902842490606,1.3258667266393016,1.418678399237325,1.7512563282824631,1.732154224069727,1.4913461276700253,1.443533556067222,1.4782021305314663,1.4417903143607411,1.5759041332263688,1.571683955672387,1.535606812906961,1.502722927716474,1.6613385682379025,1.5544549590519186,1.5350688256819922,1.920433454650104,1.8008106421711636,1.5978900310013557,1.7362685186886069,1.4371723247133872,1.4649641998416494,1.490583838707797,1.4136068061242877,1.4533253924723186,1.3857955990769404,1.451988367610522,1.3797221802461905,1.3558474699658818,1.3248943596330063,1.314078484022469,1.2498929330078872,1.2396681710678235,1.260638129413071,1.2039524323404063,1.2229664091859256,1.2199087022474282,1.2810214801396917,1.291028284736657,1.2666046599330754,1.2485564728938743,1.2242164424045998,1.2634240488847381,1.299217002638295,1.2826850833792471,1.247365960508681,1.3088109260117575,1.3281555619355048,1.2974341599815336,1.319370205837813,1.452450576186971,1.477347780541959,1.3783084652012623,1.496401595765181,1.6129368409885556,1.7781283539443193,1.7274659120596707,1.52490392068818,2.1025066856920565,1.8976636695600504,1.567435730545261,1.5497977435426296,1.4003851883547707,1.4456716899715767,1.7470153765043546,1.4807370568082248,1.4623085581460704,1.4428260330055311,1.3006938181617014,1.2424326988723113,1.2674167033642536,1.1344735736262102,1.12529537526291,1.1679703281197245,1.1736851435141105,1.2586572501866402,1.1405884434526132,1.1798755085960622,1.102750876587523,1.1561906422763146,1.0988260266629597,1.2319887440118715,1.1218858285961557,1.7913351311126895,2.025638421449886,3.172734945240069],[0.8828721997368997,0.9181963119594372,1.0780748374457456,0.9135529850637923,1.0098294791093505,0.9859330200693592,0.9698534482902083,1.049304152287274,0.9759940566319187,0.9827897318689439,0.9921344286760346,1.0353778641013878,1.0616794958954223,1.0046932749169686,1.088730523804228,1.0916741700136678,1.095599755887009,1.1372831729253816,1.166568945691589,1.1117955450686001,1.111755067675912,1.2397573640216732,1.2198273964896647,1.2642402759556362,1.182885592985045,1.1278652673297427,1.1590474432778783,1.1508021859393094,1.1797783822455585,1.1164613833350823,1.1797088909927163,1.1459703612771133,1.1617032899936452,1.1746360584593778,1.1984575900723198,1.1852750522721478,1.2297252309878934,1.2584506903290886,1.221514293772013,1.3331915575226758,1.217629810608622,1.1819364756830182,1.2764811335113135,1.759169212964108,2.326488552120604,2.8237901466278155,3.974691793272983,2.7199499248292893,2.1984558513703694,3.357155805686237,3.0299984713803805,2.9871072868829858,2.8215475697198014,3.4497780390775215,3.9446429351268137,1.8423418955282531,1.6704849330856257,2.865050609367396,2.3312094490586297,2.198017682507534,1.5830004779625788,1.3475781148982036,1.18918082778233,1.2271678282573713,1.2334400485335557,1.1719954545269284,1.138262233734642,1.122369676925007,1.1775183773460738,1.1633403477836912,1.3329135848186748,1.6193015275552523,1.2186152310057057,1.4396794856078237,1.143149139425727,1.254354018994427,1.1637622988476597,1.187311147308418,1.23376466034575,1.199882792906217,1.2784231789139056,1.4344812667955618,1.3983591774616122,1.5404209914144755,1.3850063320993253,1.2752363131601059,1.2296823919318494,1.274204104023761,1.1866857671082283,1.2160960419101856,1.1817418964794277,1.2069472137156472,1.2655808157544604,1.1660493322583474,1.1457287184848424,1.1614831172587534,1.2006207289063147,1.1467671005215245,1.098250164223916,1.0974723469502414,1.1315911414164503,1.2073378891155688,1.1808725515446534,1.2153932261412632,1.3145131738001452,1.293667612694083,1.3764700647193666,1.5163558092380554,1.3033333996378393,1.216949241131933,1.1327431744231558,1.1393217904111692,1.0822250536315734,1.0640856094291153,1.06098585903712,1.0635036593655587,1.0676933039496015,1.1057665937919736,1.1375159800571042,1.1105534072293157,1.0972103008328649,1.0482503959778908,1.0093111601038336,0.957084260461383,0.9504426695314646,1.0688344343022076,1.1155290713548738,1.129347884523513,1.1705220139166577,1.2700809129183708,1.2573625123591583,1.3314968415835586,1.380788103241664,1.323847954961292,1.2947500864379764,1.2171344075381103,1.4056499117196952,1.1427584160757203,1.2678187511243924,1.2914941917204334,1.2592334925406428,1.3867631873672879,1.2679868157096394,1.1993371764884326,1.2106836187907624,1.1630688835182734,1.1262076703308197,1.0878836504892426,1.1103327224159585,1.0678635993527559,1.0977708935729966,1.0923233504643506,1.307780430783822,1.3335134960178758,1.1917881283613205,1.1194895689772197,1.126729241033782,1.1318481607453394,1.140674695655384,1.2248292021841365,1.2112620325648695,1.2075421297015982,1.2213921447035965,1.29587075016554,1.4140500924911426,1.487113646883219,1.423456090378839,1.6727926127307169,1.5326600328089144,1.3340965781357166,1.3216813754758774,1.2951401007320442,1.317845476390373,1.3069593070948753,1.2877439040006171,1.2729789070663635,1.219375086881667,1.2746161777317349,1.300331323093949,1.3635306592349046,1.542401363136459,1.2985597126449064,1.389403818634265,1.403493651304953,1.400541492387269,1.4098772243614872,1.4308028443111085,1.6425219828986184,1.9485352476456912,1.8831170164896822,2.336530805232767,2.528992677909787,2.0187269136954384,1.9381579859003508,1.7488303147325661,1.776086267968281,1.522085071396229,1.467561409458363,1.3166061917830567,1.2699703401473268,1.2877131775080644,1.2124806810511686,1.1552524054258528,1.137791206468929,1.1512544255776243,1.093755750143997,1.0872516743348801,1.093286671942529,1.0703612786309402,1.125974484082032,1.154051844640003,1.1481702335985544,1.1791275352524422,1.279122320762839,1.3974880480425547,1.437122778001171,1.2276111829681946,1.30446407751021,1.150909600324882,1.1810729878890356,1.3239432914200708,1.6194124626303332,1.6971439087460063,1.4291502262120306,1.3938368636405196,1.4193781622869526,1.3807154043114485,1.5351404390694359,1.525321485305722,1.4655314161797055,1.4602709484908927,1.641969532111431,1.4920327443451311,1.481733352241607,1.914656039885745,1.7707949450349834,1.5372120336544526,1.6432657336686298,1.350709048699411,1.4480088738222876,1.4631717131782687,1.3619353840644823,1.4233260702998356,1.3465186466622574,1.4039740444290216,1.3282194701726278,1.2994002538951788,1.2511112875227544,1.252362283373419,1.1665076964505223,1.1430607545896325,1.1400835931030495,1.0761800544204798,1.1035586199152279,1.0784766419557892,1.140623565977772,1.1408777137394683,1.1257587510660483,1.1157118127881922,1.1041068473252396,1.172277472322485,1.198138011083257,1.1580962942727677,1.105199777176432,1.2049427443587084,1.2240623817119083,1.1789597252246,1.1954502625705854,1.3751771996712738,1.3889111597736756,1.2295363912727062,1.3815814454725859,1.5140954381764802,1.6325905979430082,1.569999747251055,1.3544803103482985,2.029916808093276,1.8167506876620798,1.4641088660793213,1.4240337208390932,1.2392928819936073,1.3029550668198577,1.6221132233803823,1.3424902582914469,1.3236497988931044,1.2377624186433915,1.150425806883401,1.1299424470991746,1.1610850555810568,1.0819208882795472,1.046625774273055,1.115120865033259,1.1102292001761478,1.2150483739750324,1.1130697218631038,1.0939943271038526,1.0470869943217083,1.1611842858562411,1.0100722984505452,1.174979948042768,1.0452148822244098,1.7153438378651518,1.9573223174525702,3.0509773477781796],[0.8334459352711953,0.8573160787215549,0.9909838133977025,0.8080127009331418,0.9284114063623747,0.8727954486941858,0.8478754766864169,0.9250705309816197,0.847536982687997,0.8451847194401098,0.8535925801345744,0.8844885764815997,0.9128023165208176,0.8539366338211549,0.9310412100160523,0.9462953997269936,0.9525907659666293,0.9934357338828945,1.0324154396463032,0.9639367654207661,0.9825074467248366,1.082547632782148,1.1370781702483317,1.1879852808141378,1.1297916142874866,1.010640091554593,1.0109193540833012,0.9998992098951448,1.038634768071044,0.9741179407774956,1.0251905020347252,1.0040390188044117,1.0176863072903948,1.0310668123611686,1.049446653700215,1.028706843344941,1.077915713282729,1.1188462790528342,1.0721944041757332,1.211614848785407,1.0382937705453452,1.0099934723686284,1.0955964138092982,1.5683272510840447,2.1610041518031284,2.6732196317024415,3.787612261260744,2.5046579788716383,2.027144239817791,3.137618227836229,2.800030562951049,2.779303283285757,2.590145038055484,3.2121023556720782,3.8772981797918793,1.6517203749449565,1.4760234854323224,2.7043032193867305,2.2190911203330446,2.0595044114132746,1.455536848035518,1.2041225754642568,1.0419815984238396,1.0807758404285885,1.0868250719591137,1.0148663736004964,1.0050218413380427,0.9814457998557806,1.0529910689254613,1.0473738585521175,1.2314565015045256,1.5143816888619126,1.1053514249989813,1.2937455061127927,1.0141063494653668,1.1466898942026555,1.0162049897600378,1.0294058212502497,1.0733062806713893,1.0365067928863425,1.1342468275138018,1.3202452627753107,1.2658121846372872,1.3745951541991914,1.249394914076999,1.1307993060401085,1.0699894475390128,1.1437067948143176,1.0333580156556301,1.0601973142620706,1.020243814400399,1.0549736856319447,1.1025994979360738,1.0004632765255077,0.9878909963341875,1.0129930841648898,1.0340718089768781,0.993974922284239,0.9622165126430716,0.9841921990483018,0.9892682627128939,1.116798327972789,1.055666427727489,1.0884578377979226,1.2333390350809932,1.1643077133043964,1.2195096095753095,1.3642688158034533,1.1883180572650236,1.1443235130981337,1.0516823944682083,1.0491091861314852,0.9589510414125536,0.9547910293227707,0.9254674851462898,0.9292807590746703,0.9237441228960941,0.966717973038779,0.9987105443913368,0.9570372569771161,0.9585067474714954,0.9207498151976691,0.885634571134546,0.8283851331363521,0.8333652677578516,0.9524771121190764,1.0392681094309721,1.0691737111901927,1.08371817958587,1.1722379016080364,1.1732796266431975,1.2547410043876839,1.3086617147225998,1.2504645080474037,1.219649231101433,1.1959846143043278,1.455824987561719,1.094789596326399,1.13240419930246,1.1524419872656768,1.1138881158894078,1.2883968795638099,1.1204026495732893,1.0546809500016654,1.0654630502450961,1.018046271728001,0.9879389789355746,0.9550507268423796,0.9876393381585896,0.9395585723897572,0.9868414329919505,0.9718838369987587,1.1998554248498996,1.2707289883453199,1.1130926176402924,1.0124068220388147,1.0076880388179257,1.0330587891109209,1.0212422219100659,1.0988238526255347,1.0998993116939018,1.0849818497985138,1.0940348686749606,1.1865905272582578,1.3501398878774522,1.436640984321761,1.3974478937877182,1.7376506707035515,1.6028470609072472,1.3036513970576273,1.2380057319359092,1.1849202123972857,1.201234513926839,1.19466487970234,1.1604278045044327,1.1661860895520828,1.0998181672740854,1.159082466244921,1.17507489921299,1.2652148980136597,1.5017500985356853,1.1957767475988912,1.3010314858500003,1.336697758432562,1.3184544390915482,1.3385223610066002,1.3217017967751594,1.5311471014781382,1.8390238765674165,1.7395246647318685,2.2089401216761426,2.3915701721090232,1.962707843025925,1.9137006154533864,1.7007785977825878,1.7404270295198863,1.4622432502936615,1.400578017673127,1.2157327745107842,1.1766518500644616,1.1741371596590862,1.0984565440127874,1.0363045975077307,1.0219264138508728,1.0318649634074641,0.9771556006456144,0.9876383370669176,0.9970844897832852,0.9643247983063089,1.0358662681633897,1.082949164781011,1.0812033579637574,1.1064888173441696,1.227306516302163,1.369212654191167,1.414704793774765,1.1789267586827383,1.2662998369336356,1.0817688082450507,1.1067666104402347,1.2465042414025795,1.5498387808820047,1.5989150922529838,1.3635569863652854,1.2996458554324015,1.317171801241242,1.2826550166214061,1.4327154831848739,1.4280310344103804,1.3406696711977197,1.3715781879572804,1.5475790681283657,1.3965418738522288,1.3820785234096873,1.77345065850454,1.6683238465106023,1.4653550638455486,1.5666120604737581,1.2494620183183869,1.3720902073983514,1.358334930824132,1.2561967080705057,1.3329068269687014,1.2758375880894535,1.2896309196692142,1.234431798730796,1.1946841669398904,1.1324891220182416,1.1425916876230229,1.0476628420746104,1.023620970603211,1.0074540552895759,0.9521130017735255,0.9853586503521942,0.9695855091235782,1.0669660287683986,1.0553791918399233,1.0397098278194241,1.0241512705958422,1.0002409956177738,1.0608324606863027,1.0953779792396352,1.0637409525255939,1.002291835772907,1.1031775323477204,1.128797844612221,1.0958740666350641,1.092832686342979,1.2745609922545948,1.3162069672572163,1.1312743592535417,1.272145152541321,1.3969808878708534,1.5472012943208,1.4773419131828167,1.2716477026706061,1.9897050939603427,1.8000278759860995,1.4543681399890522,1.41131584107386,1.1871659346175356,1.258426922529922,1.6091836882788675,1.3006387661169625,1.26914729602662,1.119350946037709,1.0204762508169876,1.036363412663097,1.052385780835784,1.0167245331757364,0.976655937753392,1.0084169413689914,0.9948499639237781,1.1200577079348042,1.0416573750398945,0.9769469395406754,0.9437262619433417,1.1670379204734322,0.9052306541812531,1.1282038939575525,0.9562653185701738,1.5969951280700336,1.7822525681070331,2.7462285560588526],[0.8064830153594734,0.845480451240634,0.9650611269585634,0.8681902789437455,0.9576973243829862,0.9431072077942775,0.9330986182122291,0.9983040239347772,0.9466306174791663,0.9780123356456206,0.9878511533072479,1.0360299127725427,1.0820015689941294,1.0188113948286277,1.0972983331880999,1.122443143372507,1.1344279577134064,1.1941204426398373,1.2394565112351181,1.2300479019503,1.2390323800939145,1.3931247640079574,1.3456567290087968,1.4037809817399196,1.3056849209670325,1.2357908570640879,1.2759834131647634,1.2384065618370477,1.2472258300093255,1.1734021859077874,1.2264629064141037,1.1797985097598815,1.206130595870643,1.2427727097687469,1.2682522202543571,1.2697072352930234,1.3038493781009004,1.375733639576449,1.3571795667704716,1.5216659945299227,1.4072954804806188,1.3479300224629953,1.496523209643759,2.055756529665898,2.6215208134426753,3.051588736093828,4.290650598915917,3.1058807942048157,2.4833214238426042,3.6935924132400406,3.4598567522924903,3.3990639032498042,3.23151749110539,3.7457136969824276,4.113090538323733,2.104306212140885,1.960942571917544,3.0533352429369676,2.5163835975813997,2.4694792903787603,1.8092013944268934,1.5258004897186226,1.3622873506994773,1.3943127444848336,1.410307797554955,1.3315061464605278,1.2710023609651724,1.221924677767608,1.255725924877895,1.214624889653595,1.4209691859032798,1.7402883885824258,1.3160027486242212,1.5263024878823763,1.2287698486396792,1.3723707229650948,1.295445163625394,1.3244890629577357,1.382758342040907,1.3873576507329473,1.4002297131449377,1.57538460906426,1.536750960429366,1.7149162896847177,1.5368903244006271,1.3984894795767264,1.3626002538634034,1.390877860204008,1.3125608805234055,1.313383250642596,1.279653715737319,1.309940527499395,1.364871953657516,1.2305269987044007,1.1780939469732543,1.1890184233155685,1.1638634476833192,1.1405350544412065,1.0907758751475352,1.0816867226335882,1.1529844571000532,1.222403254448681,1.2449055624996161,1.2531394317901214,1.3828245389664446,1.320185984606311,1.4246323539312977,1.5747532766453702,1.3332669295159203,1.2451257900897925,1.1327115202708076,1.1412976395464314,1.0616168776793107,1.070927296288083,1.0911681310161672,1.1048405322373758,1.1387845003307284,1.1677949425325895,1.1956721494809759,1.1759517592843087,1.1720055221109977,1.0976805515426018,1.0570650784531508,0.97975969646627,0.9525985567951545,1.058977816627593,1.1084569251686975,1.1345982136115524,1.1897102648916837,1.3464086672758013,1.3401419722540588,1.4364780550027993,1.5170707776832102,1.467526690616826,1.4284658774715826,1.3258197065598325,1.4593134723392371,1.2081385289395434,1.2815168953836327,1.3943093046429025,1.3167130150396542,1.4778839686798464,1.3345557591788475,1.2710241531652118,1.3279467359529713,1.249787060426731,1.2019103700595057,1.1381187214878241,1.149815865138055,1.0771695606856995,1.087442233863141,1.065803930202046,1.285323929735076,1.353190456291141,1.175219541716476,1.1227785884254542,1.1214054697075535,1.1516621105335376,1.182489132831673,1.2788940233993074,1.2922133099648159,1.3126467748131945,1.3321241561552932,1.4479086343290866,1.5976816270680285,1.660991354601296,1.6419491140818125,1.9030894733765142,1.7236119901048674,1.5196517284440727,1.4742135598095967,1.4257101869445457,1.4603639474154635,1.4441803816515932,1.4143315259297098,1.3768358820860962,1.3078449627527178,1.3867242792781642,1.4393461538385146,1.4989819812869623,1.7183156702995173,1.4036978032833964,1.5385632045682966,1.5937532045349572,1.589965921468221,1.6120271692447903,1.6373529412571701,1.8734803856553526,2.131685055234959,2.0992777184262925,2.5093018396756155,2.5568866634358267,2.1466629880059127,2.020250442395777,1.863186415940392,1.8650835310511888,1.580331073251947,1.5003701578708393,1.3288612910587838,1.2759236206067792,1.262009423436474,1.1861683321781933,1.1178761318536907,1.083420699627678,1.0899177448882784,1.0219160824476803,1.0022841552756876,1.0218761784251025,0.9991578519468414,1.0484941846059566,1.0954735592733549,1.0976839718799982,1.1148333752911765,1.2491386682006382,1.3693860423041448,1.4005115351149393,1.208310239816988,1.26227326598754,1.0863829344738993,1.1279630708153117,1.2797943555613935,1.6090399028234952,1.6433748736446485,1.4822881082839265,1.4008908084783107,1.4137793157242584,1.3757265601810804,1.5637716237474337,1.5639493862633391,1.4066895713197092,1.503609166802094,1.7207347801943387,1.5217715404601362,1.4980479239248596,1.8899905333005476,1.771402287477872,1.5409471860665522,1.6574171731257414,1.3505399438045282,1.4631951086846704,1.500385293190083,1.3532325888831467,1.4459940825450506,1.3569966553429813,1.3975275593140346,1.3300647537529686,1.2851734270959467,1.2234518481395287,1.2344882328279216,1.1105579394854521,1.0796373180104508,1.0729204920657551,1.0082424604510483,1.042306612476781,1.0151807387412126,1.1124106130917406,1.0613343523240224,1.0551224014809886,1.050068889028935,1.0507405778676555,1.1285007613457068,1.1877154247648907,1.1040139733473497,1.0456967773640187,1.1775699358185712,1.1847441343657663,1.1320492184304554,1.1477789259388598,1.334251189158851,1.3676574874565202,1.1565920423543479,1.3367551408737524,1.4805688524347642,1.5718900435756857,1.469253281166891,1.2163323096431065,1.911433530419079,1.7072044043590864,1.442709943437925,1.3725871842381216,1.1576385859470266,1.2368499296083504,1.5544347254747914,1.235711076403065,1.2117110605593875,1.071445494422073,1.0262888643799288,1.0609237299908776,1.1386340452304138,1.068486886836062,1.0025401292512817,1.0758489899299373,1.053169009403907,1.1579551544271756,1.0820325153575436,1.024579780131404,0.9890919211705894,1.1828088804448795,0.949687738721765,1.1810462138953186,0.9717883637024485,1.677961262523147,1.8065295740789231,2.9052049155352893],[0.7330839577285341,0.719303453679374,0.8110375959809182,0.6429261870884605,0.7678621565861056,0.6914061672819546,0.695612448625304,0.7928082867620656,0.6794529488638853,0.6648592718433592,0.6708956545217505,0.7360002876137854,0.7595661046343845,0.6778871165190914,0.7739576737187592,0.8188581281026762,0.8398819801055489,0.893668271783616,0.9596867495461073,0.9293019286065479,0.9711220589930026,1.1155776187589574,1.165174109583257,1.231231518620384,1.149987225333687,0.9947048855849325,0.9871298586927326,0.9355084479662998,0.966931940885148,0.8850189243383079,0.9078301656668238,0.9021871811926981,0.9043613426221072,0.943706570652791,0.981704871748017,0.9591733022310198,1.0164812023252694,1.1021984006483614,1.070496307212791,1.273844262000642,1.0818761918801474,1.0335336038643916,1.1564475260909497,1.5862928495619106,2.110001202534102,2.5443654045155815,3.7291304337484235,2.528079195647644,2.030005456154598,3.127405885869046,2.8761525407729382,2.8386889627291567,2.6438623271462354,3.177961250168942,3.993899133895081,1.734334588698713,1.557847909673431,2.7357511480289265,2.3054227503870997,2.1230511862218346,1.483611229557317,1.2314783341102806,1.0515598458199067,1.117869526245214,1.132020939754249,1.0305067153199312,0.9832662545107343,0.9284474802645862,0.9671612458080826,0.9309847997034781,1.129171548503444,1.4186449848513296,0.9988494593713733,1.181488928722109,0.9488357189484821,1.1142472616431616,1.0064284016771137,1.0032804059039635,1.0668578540126556,1.0590197773350554,1.1532862587413468,1.380064451631799,1.279651395471826,1.3876238580202531,1.267046170438726,1.1314102595105244,1.080713359958572,1.1239231130067624,1.0120324615796212,1.0261131641413044,0.9449642828173122,0.967663689520251,0.9932264719552225,0.8747886511378036,0.8494257828450544,0.8551210516905456,0.8684826266994117,0.8548135009707943,0.8384035320707413,0.8658954851348646,0.9037040298452318,1.0569366549917363,1.0179068792052706,1.0508810117646652,1.2465703612974746,1.1193277890578612,1.1972627217418221,1.316040816742015,1.1290901056255342,1.087916041488656,0.9876854272819423,0.9737783065473118,0.853167109102421,0.853320234043585,0.7890495501632087,0.8102658050889812,0.828596468111497,0.8816257849625204,0.9556937193400906,0.8485321473303938,0.8247413310044079,0.7884735871419282,0.754787354125441,0.6858175818940926,0.6645129728268241,0.7935988562740688,0.9286814068934022,0.9925530695374116,1.0448227467548414,1.159234292413475,1.1930902082866401,1.3132937321727283,1.3752123150913753,1.3236032590883182,1.265840564182931,1.2054120491735802,1.4631016452257102,1.0378431996485151,1.0552370206133843,1.0488217301150982,1.0527100857318576,1.2959640675400548,1.0821645456593922,1.003923290738811,1.0418641663309174,0.9593453376575511,0.917719958443374,0.8712519528460245,0.9141762357350758,0.8309027291920579,0.894132537804193,0.8269532735339727,1.0702249762080505,1.2315512211592303,0.9981409531759524,0.9029381623286515,0.8962802273901146,0.9556583107754669,0.9521288102550451,1.0448676082443007,1.060635817361134,1.0543888148771494,1.0691409313915068,1.2005523691545692,1.4074558460713,1.508195422759445,1.4904006562308145,1.8783559844098112,1.6942937900945148,1.3561634072594044,1.279749866728109,1.1850878335108295,1.2322856843811432,1.2260087241307636,1.1747222552996566,1.168942107543013,1.0827745616014348,1.1680351396838327,1.197334473972145,1.3222356625215541,1.5472183871152385,1.215727391599973,1.373933327410194,1.452386293641888,1.408524240999586,1.4632691777082167,1.4041919759801746,1.6662032720081672,1.9183979637365203,1.830427564729505,2.250179269020787,2.2104082378197547,1.9648492289500932,1.905982379811535,1.7910259427240902,1.8566139801074197,1.544176826453556,1.4320742024819229,1.2110299216531597,1.1370243085853367,1.1293339118849015,1.0418162848891392,0.9651547815250995,0.9588448449557974,0.9765853218499736,0.8851976176547235,0.8929026659759051,0.9378816634402908,0.8926549970755197,0.942702204319285,1.0307418335833691,1.0485120984607037,1.025492991259247,1.1981874805218284,1.358058038185096,1.3847325733676161,1.17834104414572,1.2677699009645609,1.0569481256981166,1.1094669934057277,1.2701632059272707,1.6601295290525062,1.5997392608076872,1.4446976692849205,1.332332159100516,1.3354196077998408,1.2789431680242558,1.4706559556003804,1.4955563602641777,1.2938125829764677,1.4163963240467432,1.625913785169448,1.450584613253646,1.4070281039092014,1.7314253998110758,1.6919785405439838,1.5213883488442008,1.55464781871134,1.2459803110828718,1.3842290973873028,1.3761106508926002,1.2381867382357987,1.3047592456518498,1.2853917523988978,1.2368497299285437,1.196575000801059,1.1674457910624492,1.0687944787530859,1.0639975136502504,0.9793172687972331,0.9434262174832627,0.9069322953145554,0.8640707460988919,0.9212918580466852,0.8958746674931493,1.0238442277762665,0.9667064359128656,0.975767668323317,0.9847068321747322,0.9705575207538228,1.0460983902196328,1.1138312346085446,1.0510733010079545,0.9776102368872484,1.1013033054377201,1.1400134908313042,1.094563213625392,1.0696039200320415,1.281158309606328,1.3475211012959187,1.088559589839584,1.2405768183614123,1.4017926421081073,1.5364371801634606,1.3955156485201208,1.1445582741985199,1.9027248772585905,1.7019996743768435,1.4876238333464782,1.3620654834506754,1.1011893912618826,1.1605772020441236,1.4969857096936938,1.1887546540078915,1.1696210726405618,0.9267147046562458,0.888710463281643,0.945132179469147,0.9994579520794786,0.9469258516531505,0.9042413228990733,0.9093413915644393,0.8985968434990084,0.9738047365429876,0.948854725071683,0.8536046545979484,0.8134178669352046,1.0908242225415565,0.7749144359465137,1.0641234887957953,0.8314926003858384,1.416244740921913,1.522121993390383,2.3652431140428147],[0.599854811849817,0.5970981073268131,0.7292511620720377,0.566773313020079,0.6829149465708947,0.5922102211351662,0.601995955094544,0.6856358240964489,0.5788272150601548,0.5842988746117822,0.5902105993126721,0.641407865327004,0.671038080377005,0.6126415779525954,0.7078768782955349,0.7124011372360542,0.7387453520838002,0.7932652244823036,0.8781130036257143,0.8333589446524021,0.8931924952425084,1.0819476945287585,1.0745565440704217,1.1711117205863626,1.0453522972564757,0.9133217518450178,0.8921849489832335,0.8316938356801027,0.8439709930713538,0.7616506678000231,0.8123997817440438,0.7729928478630793,0.7869346069042872,0.82032953291342,0.8517370370623696,0.8447991191515055,0.8922191107357832,0.9648181595997922,0.9420654388775034,1.1233751444450248,1.0024829395035895,0.9573044338526888,1.081028483755922,1.6184397665608588,2.292479805379915,2.7683612355312923,3.9485436311198456,2.638580319233579,2.062807285532734,3.231762373682586,2.9120234767442863,2.8292926883900473,2.66061569601719,3.208017263385682,3.881159531110312,1.6942259696991033,1.48208989305128,2.686732421619473,2.2051114130516933,2.085982248454443,1.4274445440322647,1.130039858177209,0.9456485718976563,1.0352442766852772,1.0321087444827612,0.9312862594593512,0.9285933419010475,0.8221437658721751,0.8797714553348119,0.8536644492867671,1.0617898129781433,1.3934183641011715,0.9292284280223227,1.1471086614111228,0.8259983245492059,1.0529299749851346,0.8716391029417465,0.8804044688163486,0.9473899292205605,0.9421565812832954,1.0030167800405105,1.2121358252514278,1.1455130181100401,1.2678529772763247,1.153466126826922,0.9814086978394477,0.9440689554770739,0.9841661105589776,0.8846522248299875,0.8905878516076859,0.8367305916713421,0.900619042372446,0.9497073035205033,0.7886671117014812,0.7605272408338473,0.7871339918195531,0.8326246887538129,0.7533830511534068,0.71229908206843,0.7387965118002972,0.7643926419796,0.9017015990167214,0.8455909803009483,0.896413790336917,1.0588969078857444,0.9811889596593701,1.0551620379357187,1.2024785875965245,1.0132963726936124,0.9655459620991581,0.8554361001222769,0.8414996105526391,0.7431621251487848,0.7352736123752955,0.6952605846997466,0.7289877611759025,0.7384539932029838,0.8197048903903574,0.8918996965210813,0.787276734923592,0.7888767665884322,0.725516066099526,0.7036478170800559,0.6178469983963385,0.5812620638302027,0.7082307196938442,0.8316960045963357,0.8744563536576422,0.9319648712966669,1.0192636156111359,1.0714226102084399,1.1601127680619856,1.2149148570927717,1.1458914035645564,1.112600047861139,1.0753699381633819,1.3331494285670953,0.9423730041381148,0.8919663580549695,0.9983494901564014,0.9868630990543154,1.1799613696099849,0.9746885099981805,0.9039142298981687,0.9267195623091949,0.8447237073665282,0.8116513489499374,0.7372313953274165,0.776999812741657,0.7012757536883168,0.7632805575561571,0.7124146209522472,0.9538215434536781,1.145912621748736,0.9181540115043602,0.7616633537159353,0.7516818409816084,0.8007603947965772,0.8062967666723391,0.8979353474011514,0.9144980967766444,0.907770793302715,0.9439803354021931,1.0530400658302708,1.2428592856542824,1.3767301434649915,1.3207545372428118,1.7097641500508363,1.567700018008097,1.243847968391384,1.1519275991275404,1.0638109609459885,1.079474255287625,1.0620669658305588,1.007666267691615,0.9851511239058299,0.9124204610633991,0.9811844460603196,1.0260854706033453,1.1148492542649364,1.3913021933695577,1.042401350758312,1.1926750172480354,1.2553703684018498,1.2309985004538153,1.2792520814499582,1.2546223256702556,1.5374974367959053,1.8659206239440091,1.7367470267806908,2.1826402882995692,2.238619310592994,1.8689735840779416,1.7969997032755396,1.6332707519388205,1.7043666108102113,1.4116176293753695,1.3106637801428236,1.1029707259904005,1.0334957798583377,1.0040648957137364,0.9025332545948471,0.8513542960975653,0.84246729620608,0.8409821260943202,0.7528361974025025,0.7602495927718215,0.7981913695235748,0.7609167192532819,0.8456962688914916,0.9237522185977075,0.9447362607979877,0.9497384883549155,1.1306824410086975,1.2743548647064196,1.2974479802627705,1.068639524760202,1.1303995539017186,0.925940181298706,0.9845427800067197,1.1552820503960384,1.5707699147034775,1.4688042521413014,1.3932970100699793,1.2194831975667544,1.210308134363602,1.142458360919498,1.3353791652824134,1.3791828128142896,1.1736472870639583,1.2814567696070622,1.5167450976724837,1.3630541208924167,1.3000781666414112,1.6274959635033166,1.6341484585456973,1.443734246542543,1.4969806169934194,1.1447097236450312,1.2416916642764557,1.2288255189645958,1.084694124628732,1.1399734461828062,1.1138197116147983,1.0685544647562784,1.0308981579147796,0.9929622103803605,0.8941048778889459,0.9146775796083744,0.8243349912215862,0.7877295665284133,0.7768535080965406,0.7336031633770823,0.7758542965677463,0.7763054770022276,0.9562271289578477,0.8625124317753393,0.8653547074672931,0.8606940798887098,0.8358512191021302,0.8961347029513163,0.9722750680709852,0.9210978763223028,0.8466601328932275,0.9730763893386771,1.0323650473590364,0.9905720430515464,0.9683181951641447,1.1952803506614358,1.289825096705436,1.0036687444063397,1.1775586527503785,1.3259495100157208,1.4934908140881424,1.3260069865178965,1.0136139400459128,1.7298505696768796,1.531582794542464,1.2985253462146342,1.2175949008682139,0.969782246171112,1.0638028517889395,1.3853789435218873,1.0063696597270564,0.9410436688218908,0.7669767822263752,0.7865342548536408,0.8404897145689869,0.9157091184755508,0.8251160595826491,0.7908192983376742,0.7956750489712049,0.7554661055170494,0.9044940311298032,0.8585229292396794,0.7183110985070521,0.6759872118208937,1.0262410360760053,0.6498810254470073,0.944662823017993,0.6822640520660624,1.3362700770779556,1.4721465009473895,2.354723853594522],[0.6098760743626215,0.6085880298029829,0.7533935022129752,0.5803078575428353,0.7112599747049624,0.6210447130449486,0.6430984453972638,0.7245388327416753,0.6369591110525188,0.6591159503396945,0.6658696957752758,0.7209510727860994,0.7652875914234264,0.7000982967211561,0.8111002606645189,0.8192473441789104,0.8314341049666544,0.9090939189551478,1.0168199291357685,0.984354239790544,1.0636966612264662,1.2723088756661602,1.2237713248997386,1.3378179132590193,1.1673809392936068,1.0562427612674428,1.0378434285005045,0.9518435739748247,0.9523224696247494,0.8686155759845222,0.9292350620696233,0.8740203180290174,0.8985578246922069,0.9329011476008336,0.9652726100086856,0.9731881033880698,1.0024329326144341,1.0887676762221459,1.0837529445964458,1.2717128119751095,1.1798580811333874,1.1399007679028277,1.279252394221264,1.8556036797271318,2.530183260953431,2.958439385162952,4.227424421119261,2.967094596866762,2.2877781206427388,3.5347145873630326,3.2830784322730056,3.179099861785738,3.0243084090960055,3.5221411003833833,3.970505538354834,1.8950813962946789,1.7250989894714308,2.8741463841169588,2.3276213911580803,2.27556806732568,1.5904378048716075,1.2816790463859173,1.1115215280081878,1.2314559764076516,1.2160012941971918,1.1024833852282487,1.0914734861834172,0.9650688205956208,1.0119105855798896,0.946942751830984,1.147396232427943,1.5149473440417836,1.0395703671362428,1.2844659088130972,0.9523091014612427,1.195035598916501,1.0015114587013,1.0146304264951487,1.0811483946575553,1.0982894072853702,1.1274264767974354,1.3154862968457919,1.256708235113101,1.3909489608950314,1.2648705053892548,1.1054218084970706,1.0909619737031058,1.1027411432613419,1.0193791012142028,1.0103788903861508,0.9761262789464554,1.0434957177059683,1.0832452287053234,0.915367415205249,0.8760251486446183,0.8920009165791009,0.93302491286,0.8443947638652157,0.7891164480368692,0.7936740647952479,0.8407766720368534,0.9504583797701635,0.9143289024125553,0.9557975902265788,1.1109383820232082,1.0381206927158317,1.1088441511395426,1.2643982989286584,1.0586935020957517,1.0045217271041205,0.886957560594705,0.8902681970134613,0.7971940954435514,0.8001173641597743,0.7779762237651573,0.8079302897995951,0.8262164053710118,0.9208972734409719,0.9986966940098104,0.9044697948673108,0.8981949482081545,0.8079579479536707,0.7812400771500748,0.6853277871445649,0.6502731518837721,0.7817306741037527,0.867157466806494,0.9155277273190826,0.9652922376535588,1.071536242627064,1.106085336775438,1.2022539062109474,1.2721993680272898,1.2049478879859115,1.1670289062012513,1.1133603093082398,1.3689694440718356,0.9875154050406004,0.9471443365019843,1.1129185262967458,1.0839395060505859,1.2743120244002695,1.0935394955983295,1.0088447937988683,1.0575518079534236,0.9521983121134519,0.9028768056775719,0.828735987408436,0.849218359711442,0.767831486690568,0.8146301252766849,0.7714877032095423,0.9923039877736962,1.1747089263810329,0.9720264712849894,0.8083290034828786,0.814532177952912,0.8446267509411203,0.8658527644411881,0.9579336389792066,0.990702131775678,1.0023978312288329,1.0506881324434645,1.1642899807998157,1.3331218986001738,1.454542255460608,1.3966541311504126,1.7463301553219979,1.5601889837676395,1.291172328047707,1.2111937328745908,1.1535228828446151,1.1706936187286907,1.1514858178161955,1.104029896072605,1.072125710325334,0.9981071305359636,1.0823272906614834,1.1552254044097652,1.2106276877004432,1.4687951695799066,1.1172323809381273,1.2751887074982136,1.3471917593858935,1.3282839779929851,1.3970821015444619,1.3936177774900964,1.6836667232833946,1.9815590407594301,1.9192946781607216,2.3519701888673206,2.371646783434131,1.969980099438219,1.869041658176174,1.7107218201004568,1.7720979473501262,1.44292920966939,1.345587323669063,1.1348079451069168,1.0679741945420687,1.0402173955611898,0.9441201559764469,0.8898558454817702,0.877270527584068,0.8740245554477559,0.7886266286336983,0.7959000092143165,0.8285342025690389,0.7910913249668402,0.8708529647043795,0.94437683601792,0.9689127231427351,0.9740575204819669,1.1580830934257413,1.2996874586493954,1.3230680952283178,1.102047722867317,1.1600655752307116,0.9627219492506116,1.023504322171444,1.2036114549984398,1.6262343805786095,1.5185022269865804,1.418475908454635,1.2535864412800624,1.2593826001767716,1.1834668932051762,1.39582051876308,1.443321828012017,1.2123718461231212,1.3320019613275536,1.587522164950925,1.4121727246835416,1.3402858746196018,1.6887840340116722,1.6793103237113056,1.4942713513969759,1.5101712202191695,1.176981989163859,1.2822999061727487,1.280555967147204,1.1297427831056048,1.1921065583733421,1.1533619826686683,1.1074108287011146,1.072156516431135,1.0381584399849484,0.9344799735655459,0.9520910914279533,0.8605210351791059,0.8248248016869206,0.8137462278240993,0.7670841737711459,0.8024517406233383,0.8072843458516956,0.983345807275068,0.8986779949559894,0.9004581024069285,0.8961927941512299,0.8615967082372403,0.9270032202357804,1.01598261121684,0.9574402127219207,0.8756212473557313,1.0127344905818871,1.0773891665664668,1.0291039250127507,1.0035956168228504,1.2321048914181072,1.3351748818219256,1.0391703369240812,1.2099424253995876,1.378396556106164,1.5311183902913055,1.3525137924449209,1.0397885788819816,1.7314907953458272,1.502179495442617,1.31523192342933,1.2270511096515906,0.9957166936715932,1.083270388388446,1.3866137840633614,1.0189258888561732,0.9614492650246992,0.8087342553224891,0.8221350792005885,0.8691654284844028,0.9455979750816631,0.8518463960452153,0.8155281614208716,0.8330171569114783,0.7982094164596817,0.9442492240547484,0.8779951628032254,0.748220263433771,0.7063990126102994,1.0495028242501134,0.6645185667272941,0.9787904075942343,0.7164507295292695,1.3663204672810942,1.5349716965342846,2.457412375410039],[0.659983840686256,0.6336732621331232,0.775618550208645,0.5574564835902431,0.7156121021554684,0.603786869949028,0.617159926329589,0.701899207524962,0.595527273679816,0.594893163967771,0.5968966625425398,0.6590921211422457,0.6935337830184696,0.6248646960937901,0.7436264325482951,0.7489232426198246,0.7840748526273368,0.864441034126064,1.0067108661148447,0.9712530759694775,1.0721696880578993,1.2818746344723968,1.2515073057068382,1.386708306258252,1.1834997850019053,1.0625109993095472,1.0202009817258983,0.9162754676317281,0.9088811188708257,0.8162459671040638,0.8654205919306365,0.8186829471764316,0.8353497569951847,0.8807822801036048,0.9101170409306928,0.9200087811007713,0.9574203633966492,1.069809670348506,1.0662212850896453,1.289889797949459,1.1840505318387693,1.1274588081633807,1.2899365381036785,1.9089990756460558,2.6071343242502807,3.0146269449763676,4.31537394839072,3.0620366265252397,2.343053880008023,3.612173235409644,3.388538455549067,3.2796900360159245,3.117735052245207,3.543112702787737,3.9903792679312726,1.9372884016202636,1.7662161135951882,2.869084812637005,2.3353460965640997,2.3064409955144174,1.603640507441004,1.2756878380666785,1.1013580723927312,1.2483176075137172,1.221886071567585,1.1036380480046926,1.096124372024042,0.9494371949370808,0.9913774910446443,0.9232159632332858,1.1148987489667348,1.4959944904753446,1.0260070987816956,1.284905674647753,0.9198919985721621,1.1950703955670878,0.9830823377405518,0.9817033331849492,1.054536065989019,1.0778169321736435,1.1153778406434303,1.3331902735200458,1.2498710465955856,1.3852975659322597,1.2668031813025324,1.0974418852357055,1.069707000340594,1.06751090990041,0.9822881346454636,0.9650950821239536,0.9204068248009993,0.9923271008108996,1.0251873556688629,0.8360273851077062,0.7949524925800213,0.8184217516921343,0.8689192229902531,0.7670464812723828,0.716515735774595,0.7358966173699042,0.7895891827998532,0.945770070523858,0.9103034439423238,0.9707924093675487,1.1701732041393276,1.0644512147808052,1.1637210316704718,1.311107399488359,1.143548158788175,1.0832414485716453,0.9632908208256159,0.9303670071723343,0.7916369184647206,0.7989092090479764,0.7277980247581982,0.7676695396404591,0.7762664346026921,0.8930333131358024,1.0017341210461528,0.8722471525269144,0.8764281353256725,0.7577495582539846,0.7420466318739659,0.631125354461454,0.6051146693803002,0.7692794560296098,0.8807625851913915,0.9718674692963095,1.0632139977845174,1.1482804048228687,1.2370063587680322,1.3609232652649226,1.4145359530464494,1.3185810998736853,1.2608056784947337,1.1955635187476232,1.467783262365955,1.0387300411961584,0.9343347291055336,1.097894386367101,1.0611441836614792,1.2756546040031957,1.0682189627811012,0.9797275883512675,1.0368494671444028,0.9153513912368959,0.8647528506301729,0.7885173374497051,0.8348109751906201,0.74688398016023,0.8165569549463478,0.7516472267211605,0.9522078897853493,1.1946243255241353,0.9817424798644925,0.7863490391328588,0.7746580019546345,0.8419412841641647,0.8450487080880712,0.968897571550077,0.9879616540253504,0.9829842970886118,1.0420611595397418,1.1711915650786298,1.3805185631959433,1.50692867070239,1.478807218962826,1.848103446097197,1.6856655433439345,1.3696668843020612,1.2894697567332618,1.184301239649545,1.207563710582832,1.1831463083073777,1.1145518008352802,1.0880338864641477,0.9887273168183621,1.0838892376636335,1.1525787488022003,1.244813409154274,1.5252648980783512,1.1629998016531145,1.3646202278510633,1.4600365275324492,1.410942380714785,1.465575130395785,1.4397208907419687,1.775191685637358,2.0297783526413533,1.9903014852895384,2.421830933634529,2.3845808669964694,2.0490909231072374,1.9711945264738682,1.8488031866472734,1.941336291883088,1.6362738447839342,1.5563986303960524,1.3492359768529274,1.2398616864888665,1.234894040355987,1.09787430039335,1.0245615259459195,1.0706063331907574,1.0768854211379355,0.9464984613526594,0.9498058671422155,1.0219357480229299,0.9759006073074045,0.9938101316882847,1.0894817776319325,1.1356286359663805,1.0873231473922622,1.258082948191833,1.4067329995125932,1.420474484535794,1.2475219406463136,1.3098139331244805,1.1770325615914228,1.2426421749332508,1.439138477616075,1.9909065033318103,1.7094272156197563,1.690978905279614,1.5254865504294477,1.5239867553884965,1.4276004519994288,1.6518252865704621,1.7265299208386697,1.4308039833550164,1.593922853898918,1.8660512210741576,1.7035472643133536,1.599129644153466,1.8579208919406083,1.9307957426409874,1.7779060035717738,1.6839386512808356,1.4164898237176988,1.4962088914027267,1.488568460992609,1.3334511342558666,1.373636251611099,1.3834103908027233,1.2402450638148321,1.2335349528523667,1.23703077135485,1.0820577823326387,1.0683861078209547,1.024621004411779,0.9869868567789356,0.9262632722273405,0.9112516025957326,0.9862345442548086,0.9709744852544987,1.111058262253768,1.0412659094545211,1.0734156121217138,1.0991969761386775,1.1054416089330699,1.1485396266723904,1.2762017227022544,1.2176643103281588,1.113080194957601,1.274905396731652,1.3472446283860002,1.2851537634698667,1.256053254964101,1.5031089952500776,1.5701475351883667,1.2718339438303765,1.4480745630863658,1.619892388460494,1.6951674661634089,1.5088149721556012,1.1915912477215373,1.711598577691036,1.4800459996176836,1.426001418382582,1.3047390577913092,1.1221347026257453,1.1771061581663107,1.4054663667771272,1.0997308040572802,1.061053103227813,0.9987253711772566,1.02326160364425,1.0269530668598315,1.1014340146916424,0.9466203649984889,0.9256203671707779,0.9197504581235459,0.9007297628337262,0.9949448073014159,0.9543647322571044,0.8035752981211779,0.7512038159833175,1.0978989601771432,0.6881376654970777,1.0089952243711222,0.7406124492892298,1.220327834420639,1.366613094589717,2.2304868783096157],[1.3798076947069409,1.3382342281944573,1.3381082178046633,1.428343505093755,1.5107119358374101,1.6063412125039418,1.7429936179623693,1.785743394693702,1.930309762355312,2.0387076091390015,2.115882872692591,2.036987692353158,2.068499914664206,2.180487820920395,2.260249581050279,2.199047108170565,2.2494353308838275,2.3643136193136645,2.4962105138953663,2.3131587186554055,2.4164949140737035,2.327993724842506,2.454463946699394,2.474136434544718,2.3527008372122973,2.4261209336797362,2.2860180429195758,2.2567752372754457,2.255601109679088,2.128679553351899,2.3067457681528327,2.111777212110421,2.1509718216743314,2.222825214376024,2.1534051837187778,2.1965826393921426,2.0960646132190592,2.2185489334506983,2.1407835139537212,2.186649516557676,2.1739170088631186,2.2126939659638993,2.21265497503511,2.626694919130898,3.1129832250694904,3.4380502036371183,4.681056027891852,3.6195663262014945,2.9313256967727663,4.103349287914961,3.9886534896796437,3.9069677768891315,3.762608296126948,4.1311545379737735,4.31898477114421,2.49915260999058,2.5364006671110766,3.3850315680124936,2.921952954803724,3.1053089630340662,2.4852385696121946,2.34712478859561,2.321521847510048,2.4460088911242006,2.3367274090357024,2.338603555065843,2.4565125945108535,2.4309379494231638,2.5793510571384317,2.5297096598571907,2.679138860428284,2.9609111667841645,2.6488874802630558,2.7639346793815687,2.459136893725413,2.5021485656443927,2.356228050578008,2.323120129055767,2.253523986289084,2.1621886012367955,2.1249660123975196,2.228459072698966,2.119624813890597,2.0622830213069174,2.0766266072457085,2.07885735575746,2.142795061031727,2.120286659068492,2.2011057491348605,2.2086200889127263,2.307112651780403,2.4282758530700552,2.456028611226137,2.300879468367197,2.274457722383082,2.366230009831444,2.380194069306554,2.1770029490024303,2.0934542520902695,1.9359402310472815,1.9321240851221764,1.868783793519381,1.8594667423044287,1.7339988244003546,1.7789056168474202,1.673352049558705,1.5994614289526359,1.6770867139957482,1.5210602579750898,1.5908085196561166,1.5766003988173896,1.734183098582014,1.8088933073980142,1.916372349858987,2.070185932501494,2.1319683972965753,2.1903386366505626,2.312172782130085,2.5027664908018363,2.3796973038535936,2.38802070756354,2.3306007210657835,2.3001445712614896,2.116529654873821,1.9778438604044035,1.8636304897959226,1.6478200752344894,1.7051349150948691,1.5929138163129288,1.6334599212982779,1.535610119844304,1.6258682411012442,1.7221521919869598,1.723541088332921,1.7009076485995558,1.8160336732002824,1.9334114029831004,1.849708772370145,1.9936163477856625,2.0218394209787927,2.1931648497988814,2.383080916601754,2.304418281121491,2.1465766479255595,2.137338026373669,2.096118890496988,2.043497810773323,1.9711794826043922,1.8703067114917173,1.8637314673480398,1.7329292117720876,1.8266113305305363,1.7995131439007888,2.002154211470579,2.032934429996712,1.8512048450562064,1.9267520074735438,1.7929818852186135,1.9065030867171158,1.7886180856079301,1.827111082024819,1.986795155478549,2.0109605113227387,2.0617001379198503,2.078067475644226,2.21454808104491,2.0036586028001406,2.2475376667499063,2.013529098027003,1.886898192556266,1.8001507084003752,1.8904910530722154,1.885449328879324,1.8941529753197066,1.8979428965092366,1.8670160422913267,1.954502800157209,1.9254049192732225,1.9429162620673046,1.914580748562165,2.093140785752493,1.7628422719051455,1.842214177517463,1.8910497983959562,1.9023737960317961,2.0712845701151403,2.1810845927798894,2.3603565385830994,2.5630695748879644,2.485505920866496,2.7639671629772,2.7062111851900092,2.336090423446289,2.217408018990456,2.0572630277162056,2.0788374732317676,1.6930213992037855,1.6451510806214125,1.4805409505715834,1.4228486666211273,1.4199828814889774,1.3284010623245295,1.31521706998339,1.288230905275922,1.2913954559512835,1.2459251814535197,1.25007143932254,1.2722474330872695,1.2443488780952594,1.315864934062225,1.3564519360556426,1.3892835863719402,1.3829870390040564,1.5236477463341094,1.6280915377089538,1.644997682967316,1.484862326972841,1.5992692053519755,1.4384289311220884,1.5263173242113603,1.7838470880631743,2.2202356935689824,2.0832739619867353,1.8612859035554676,1.7109119401377666,1.7523662427884352,1.6445659004390245,1.9013033752530304,1.962842321292394,1.6564151003100864,1.7762011769514994,2.1078289719907084,1.946574004417998,1.7755411382046626,2.060641865938174,2.162920934679738,1.9723767556261163,1.8203467518413234,1.5793517069727334,1.6425094040758954,1.6450818923190988,1.5316333592632188,1.5517506931055454,1.576016965237288,1.5050246847136541,1.4628316840677442,1.4463018740026268,1.3571760047175638,1.3710146941981391,1.2838454877868388,1.2711349527711748,1.2627609663895096,1.2356990510958241,1.2545281069513994,1.259190423482167,1.4308584089159786,1.3031211966234166,1.329567887167137,1.3525711711348172,1.331656035039173,1.3449749872658048,1.4895258271641718,1.4716259762018686,1.3444535072057024,1.4763758070959403,1.6029353112293752,1.5280243838950276,1.4796867676805878,1.7960705612880392,1.8759495836285867,1.550665497793384,1.7173716300245923,2.0518884384833282,2.1944818667735126,1.9562598047426367,1.4953482717605169,2.147073150387361,1.7615910540137862,1.7598356493109037,1.5332917359822655,1.3647792262679708,1.4849051422715165,1.6787345201810804,1.3920722289791867,1.3282310776750845,1.249736162998329,1.249721181677213,1.3506957416398662,1.3530404750742195,1.4819648784472046,1.3793151835031792,1.3772520408032833,1.3062801206393515,1.503685412031786,1.483372394719972,1.2794421118784454,1.291063745039063,1.6785017722512858,1.3617282270833961,1.4613119513845727,1.3985604940964729,1.6106881924881338,1.8252189847238491,2.690893798566044],[1.0454834487767217,0.9515271521180371,1.0084184614081808,0.7859782461615148,0.8358403261012628,0.7938405629710071,0.7655240193188757,0.812659091430397,0.7460098411343894,0.7368760812543769,0.7551253462195449,0.7804036154560902,0.8050405390057016,0.7796184608159364,0.8832582867031805,0.8697650842628347,0.9369879740904694,1.054964005029929,1.2433888089115719,1.241815247099978,1.3888324830765708,1.6508152336371265,1.611360428447544,1.805802775522738,1.5032943466502373,1.3508867044443589,1.2583793694110326,1.1215458742699576,1.0750295843310735,0.9491559596736597,1.0225918976186468,0.9283050636596419,0.9403501463743069,1.0243711378540261,1.0505321998629524,1.1005235410529035,1.097443589155775,1.2774302929424015,1.2807685704770684,1.5052179253360871,1.4768294407012126,1.4531130018464335,1.7063847059878245,2.3328146447860587,3.0400700934253364,3.3539230287262187,4.720590240577575,3.5159407470344823,2.680534099480968,3.9766256925385717,3.8442102923346044,3.6587530184529076,3.542409826477469,3.7855725777745755,4.183662613270308,2.4007389534959613,2.1815327890743754,3.106348254722687,2.6248437692175686,2.6134605313671075,1.9867013111894283,1.6531068240115787,1.42685246232457,1.630642120564395,1.6186130000630217,1.445881325628071,1.3896150110045418,1.1978903610603735,1.2421336875949494,1.1099769800194392,1.2988442669293698,1.6549920559839049,1.2196973754412728,1.4773880201340002,1.1484868530286283,1.451054560067572,1.24177017456593,1.2390336879945145,1.3284707273169378,1.400414779085225,1.3234450028707863,1.4911677812139175,1.3879325819284982,1.5963400056642694,1.4398582438789245,1.2683563923682022,1.2857419351778612,1.2367254493180135,1.219703426117992,1.1718205259720187,1.1338637772923679,1.2444366814228616,1.2415875722434337,0.9978169045688522,0.9302347188366247,0.9638163523893886,0.9929053491843768,0.859889949919331,0.8011780734202056,0.7860330480052178,0.8706702926462703,0.9957683270892839,0.9936036103087044,1.0617528294035479,1.2075514058400791,1.1155814347288073,1.2198304996550984,1.3909576294117167,1.2068393547054952,1.1303614905656847,1.027697715736939,0.973018828986804,0.8781734670534754,0.8909531706463766,0.8587941410245364,0.9193024352066193,0.975399343429077,1.1068244694883558,1.263173145950342,1.0823937743332177,1.079362854985898,0.9217513881024743,0.9050731813852331,0.7881727863924938,0.7270295041966498,0.8777000252350577,0.9815179645597824,1.022887634089676,1.1211770823634855,1.2049692236233922,1.3161562680147052,1.4599258529144725,1.519887555815477,1.4213172056656993,1.3536154391024227,1.2643392987423132,1.463335729351681,1.1463717740690733,1.122171235489001,1.2839179155395781,1.275275464390373,1.4603074092993629,1.2753120829676785,1.166506318264412,1.2180274552870571,1.0833256733451424,1.0232649281374198,0.9061539735723171,0.9218453248700196,0.8196612730426064,0.8927744305296926,0.821444858516796,0.9983832471733176,1.2811020406684432,1.0565474370376777,0.8530669046451654,0.8436836800580757,0.8997479286031901,0.9138335912169769,1.0376530387870864,1.0847778779074064,1.102171155563173,1.1866569169014236,1.338338883594279,1.5711686197564936,1.6831567557697487,1.6676105643426735,2.0397568359663443,1.8238787651566992,1.5147737995010426,1.4350240498709048,1.3221013337178613,1.3618422822680674,1.325723361386947,1.2521146521072688,1.1732691738814434,1.0709180428841008,1.1538619264433545,1.2934096940426314,1.3627215776114494,1.707897920145493,1.2582572074878102,1.4731623304852093,1.6316816651408783,1.5758178531944962,1.644896170421322,1.669096454799292,1.9971501418960529,2.3529015725051203,2.1606867842668476,2.5176464126351887,2.3949474288759536,2.126232649357588,2.0392970569856663,1.9687399593438155,2.060258141116778,1.7736559378395664,1.6714516102756969,1.4746785601831842,1.3572669938065156,1.396952626597723,1.2499466611330614,1.1637331099734753,1.2614546345716309,1.2879106512167486,1.1597989187234794,1.1797882664786465,1.275936555761116,1.2317582606334379,1.2562715291601885,1.3780979700652578,1.4460877543374449,1.3793167978046037,1.541278280538195,1.6926476480592105,1.6696301498457136,1.5418083489289613,1.6206873936217001,1.4786766091870511,1.553300451375494,1.7329795305274382,2.2978429725311718,1.9744720370708413,1.9093194741011483,1.7560458005727728,1.7326463081893746,1.597607933586059,1.8242533230975784,1.9201464901351586,1.599874560420088,1.7502697546464137,2.0403573609523673,1.892705214021061,1.7554986778112496,2.019262770810882,2.083141368115722,1.9407384815139752,1.8260205955373408,1.5778306476644661,1.6294551491370237,1.6287351100433272,1.4898411981435875,1.5159725405020823,1.5576431483719635,1.3928903835858406,1.370522276021178,1.3883207329210547,1.2410728003399398,1.226284483684225,1.2252644547956577,1.214676219753227,1.156853334902158,1.1564714621944872,1.2301249934673495,1.2468023183415766,1.3642753421603528,1.3341173620202758,1.3752336527620248,1.3891943825020225,1.3771168071802056,1.365353492069453,1.5037151035009042,1.491234218344114,1.3736265525196003,1.4875464141591461,1.5959322284995765,1.5408153624880658,1.4680262601425584,1.7294847933681712,1.8070730349044137,1.5108809108945833,1.6643167332453286,1.8426954855572375,1.9004234468320162,1.7293636082099118,1.4610416191764724,1.8653811128238098,1.669224059874806,1.6843897134798014,1.5606229339158801,1.3960933192650393,1.4078095079705193,1.5782333108253015,1.320054806239512,1.3136633634053188,1.2128177261084747,1.2300417735731375,1.1785692394620548,1.227008647709384,1.0491159295416208,1.0725546460834703,1.0490425935901797,1.070448696237857,1.1238092419892443,1.084168323233883,1.0139342307138237,0.963995064740949,1.2347688615869317,0.9293988203039018,1.1622971389801109,0.987448849472262,1.2359803812687062,1.3838323935641546,2.275082508533234],[0.9746517037191161,1.0260121722356161,1.2067188430384013,1.2258022536635045,1.1951709881102173,1.1769007404299232,1.2170120267151903,1.2032440674650742,1.2598893093064112,1.362941166334578,1.3976561879661347,1.3614447820448685,1.4425383939833551,1.4860864785874688,1.5587477396675873,1.5103125511501005,1.5616067573917325,1.6509516788335998,1.8096647663278689,1.7862892663711722,1.910453389010773,2.150757780777693,2.040028684846727,2.262532669661093,1.9161108529343491,1.8302967377732644,1.7477634801756237,1.6624438030333293,1.6078357276266306,1.5351896121755155,1.6240161953966394,1.500488658809747,1.530309628637751,1.6194266373227884,1.6106118097810715,1.6815128185760655,1.5973544066052412,1.7004841161766455,1.7032931066582195,1.7514624754035604,1.8324880271805448,1.9208050582036962,2.1223083010584567,2.7326925749215105,3.479528580603632,3.7788540736218175,5.064197870890481,3.8196042235628083,2.969230276917716,4.2161474181033585,4.0287668707319435,3.796361061910704,3.729538574404793,4.081868352422017,4.369177908102222,2.7138909560592572,2.4854043731831434,3.4499286375953306,2.915849811863147,2.7125278964973885,2.296532356758932,2.0595664067454083,1.9135767855314365,2.0527307809656374,2.053730527312069,1.915411158182469,1.9434773311442846,1.7558972601913034,1.794497552898511,1.69833304268063,1.8399024919934182,2.1098851111886874,1.7995455327460472,1.985324505780359,1.743554719140225,2.0136281946908228,1.776521887980357,1.7654490750443308,1.816810030523039,1.8778322645025056,1.7182385343931295,1.6911927156460966,1.641650217884329,1.8082312437610548,1.7083775977796472,1.6218034440485214,1.7143714715062728,1.6933328465617794,1.7396141373225358,1.719972795122669,1.7395166347603634,1.8563483625138855,1.8465565794546817,1.6505803414772797,1.582062454774412,1.5914098875497116,1.5505795690456032,1.4636066097938447,1.3756742342353927,1.3086654227304746,1.424024532005605,1.3245919477859842,1.4316480622606842,1.4025811054037298,1.3906059410506453,1.315264312668152,1.4050001816142834,1.6085361273974301,1.3834378627662653,1.2692386547198995,1.2357427679568616,1.2318084592169878,1.277642237103294,1.317890959710998,1.4484496536848592,1.5114210562546462,1.6245550985232526,1.7028121726670755,1.813758781509657,1.7090771915916616,1.7487080277984897,1.5845375113048348,1.5573801229658442,1.4405809246319035,1.2925629647423675,1.3398566433734627,1.4474702211701787,1.2710688062304059,1.260483244092816,1.3858142928318582,1.419525403857001,1.4762677208470196,1.5946122329765717,1.5419389026959136,1.540490154307797,1.4447808038383496,1.414011461325438,1.441230763052334,1.52044321833322,1.7926816566416464,1.7327631345920658,1.8017847518541443,1.7254701307143725,1.6479416096886002,1.6469841604863573,1.5938682369895107,1.5561189121045889,1.4561852566359934,1.3845939777060519,1.307718441075537,1.3035971962115045,1.246190720745842,1.394701218361832,1.5821131841505434,1.401718920760855,1.2752261695544749,1.315475968169757,1.3101977919981522,1.3870238575893712,1.3869351205441918,1.4943328628509545,1.5368050298282854,1.5774621967399558,1.654191802015497,1.7874444903906022,1.8436660407341787,1.7983718718856634,2.063494044498243,1.8670034619383213,1.6756947103835984,1.623389686483531,1.6332290744354,1.641846540682919,1.614025135623752,1.5942393896376572,1.4945799152795889,1.4784348529246851,1.4734721812656202,1.6258863914648904,1.612561394538373,1.9391678557101975,1.4957215198287126,1.5876127680963572,1.679257031111312,1.6785840957855174,1.7332925282032872,1.8276286241185489,2.013421926465573,2.3869858398044492,2.1190579173295814,2.387408353896,2.3052937417915427,2.046292693498581,1.9497868807405923,1.8543831382735767,1.969953275330589,1.6611946188623457,1.5288029768774491,1.418219449523597,1.327938678636848,1.337359584475306,1.2442454063769668,1.218379091746616,1.2145343980951608,1.2100511683482087,1.1679750367541073,1.1751758401244925,1.2047142863388685,1.1814924327174496,1.23288950806186,1.3029222350235627,1.3549262122020764,1.379427540364672,1.5270047132118272,1.632551791178601,1.5990299484573398,1.5237749231722966,1.5043720981718096,1.3580931406687065,1.4396895529887523,1.605455871328287,2.109795311190969,1.8681742008337991,1.768276132919591,1.5477501638876365,1.5328418483675617,1.4585035371996113,1.6626121638135036,1.7205138691441337,1.464827701988673,1.5858185075866948,1.8294658126474255,1.7218211532962688,1.6068796967896415,1.8330134100585045,1.884617989501727,1.7641505440373937,1.7537692149753223,1.478661026013544,1.4977649023841235,1.5159989902951538,1.379339582791181,1.380531876450106,1.4139382882198448,1.3406516521769944,1.2944846547026378,1.2823975252696358,1.2098706751852042,1.2372237463829343,1.1839085146931076,1.1865624085046746,1.201194742964002,1.1766529225464206,1.2002175456963482,1.2553934648383318,1.4464852430571664,1.281512193501069,1.3100043219126571,1.2984837591902627,1.276573570828909,1.2632556045383176,1.3573562410953957,1.3519860861373225,1.260660964738309,1.3514587556379443,1.4387366987795296,1.402067967436295,1.3394654040692877,1.5735528673968753,1.693970000339674,1.3954308136516946,1.5355188997141416,1.7185336515619667,1.8849494529108866,1.6716629163427752,1.3295809944093204,1.790914232440813,1.5227644150704958,1.5568750620821559,1.4560775720261272,1.298526519428082,1.3656414262124497,1.5111330889566732,1.2390578895919737,1.1871110835876804,1.1416115924544539,1.149610933397327,1.1891123276893447,1.2627581671852355,1.2464423117395793,1.1949416227497323,1.2249525294382506,1.1573013432344006,1.3156311698143552,1.2606434480363136,1.1977444186108817,1.2138311521005276,1.4645416971639034,1.255286801724713,1.389658951692356,1.1543917509430965,1.806377109270692,1.9072568341942435,2.519868639184107],[0.7637281129005189,0.7413189181080401,0.8597056772292525,0.7307790763013678,0.6584165925961798,0.6536702967198215,0.640231816549589,0.650528141834313,0.656621723309973,0.6545104426476461,0.6763737673686917,0.702004033130136,0.6984080225347908,0.7451229287219923,0.8459932792694778,0.7482142550987766,0.7683917298145263,0.8683579861212009,1.070849345856566,0.9947115945781249,1.1691790766995127,1.3984714159686122,1.3468040860230497,1.5702780643727579,1.2239711036857595,1.1140610710932457,0.9854501774613171,0.8638908806731274,0.8180215543958644,0.7374020297636681,0.8454177178152242,0.7159238434604335,0.7733838662718036,0.8369337373800695,0.7973938403738,0.8513046409220931,0.7985574968251163,0.887963995533811,0.9240855332863455,1.0482586761233426,1.0873366063248855,1.1153383930833096,1.253278097355235,1.9143005790541,2.8043255453642217,3.2268743456945725,4.461628118131449,3.07006529221016,2.270893003174414,3.5727373497752346,3.2514458732014853,3.0784101425020802,2.9549446640535875,3.4223066132315747,3.7921574297096163,1.804040117071111,1.6047838773669185,2.7650318763310016,2.1814977137804896,2.160468701454674,1.4981978492393186,1.1882793475280171,1.1046593638891753,1.3373056073304985,1.2261326561906618,1.0971714889281048,1.2220698347762424,0.9902022446196121,1.0891543053331372,1.0248208418203861,1.2408398628011486,1.6545888913617495,1.185362427729722,1.395112952832353,1.0078416327665785,1.385989495159326,0.9789140762740879,0.9502609498584437,0.9848246359449329,1.033036166693369,0.9285206847702638,1.0572067934574618,1.0178431921707152,1.1794137010337993,1.1019068420796072,0.8672598745506067,0.9277139620029802,0.9309842203542741,0.9108425111799213,0.891520331724181,0.92898058543205,1.1059135923113832,1.0980079310532307,0.8701379528043781,0.8304011750683699,0.9057086918009634,0.9361238619210125,0.7563649201809923,0.6987772312201814,0.7263217211921644,0.7021841924504364,0.7524433790715549,0.6847838197005176,0.7558983163033894,0.8694209892586835,0.8408026382264062,0.9064349252429192,1.0875623427287013,0.9441812937948153,0.8599971735455386,0.7722755943627121,0.7395525752061175,0.6771863485413662,0.6976833799505044,0.6837762153774865,0.7552042481207014,0.8060746692548131,0.9317179564849857,1.0916553682935077,0.9385777301374538,0.9855768799778643,0.8524231279070039,0.8303693291078381,0.7051556808559357,0.6172137717002714,0.6608942955233583,0.8386095077385928,0.8093991800132598,0.8737922499163377,0.9161696055247291,1.0398432875106567,1.1183555096927085,1.1606590143347486,1.035385020929719,1.0293637009373495,0.9725728798209862,1.2377127607156961,0.7963391766032059,0.7654249101405687,0.9676967467904467,0.9408801917504442,1.166220979694513,0.9735195173657987,0.8635556015687227,0.8849573698564521,0.7914196108486137,0.7549514067256797,0.6954671668865142,0.6886749047987805,0.6524776206969518,0.7285833975930729,0.6945490162068377,0.8334083438229807,1.2760441130906581,1.0515201111066175,0.6865378452785423,0.6697864595078596,0.696611471017901,0.6744031127345177,0.7435783310397209,0.7890898817270692,0.7752205594199904,0.8375972906688451,0.9216432567196073,1.0860923600544699,1.278740721966278,1.2396860093975426,1.6541575433938456,1.5299500597618663,1.1787140254039377,1.0693410733043458,0.9830449500214526,0.9680177948559457,0.9102213425698259,0.8487908233446282,0.8032917911391678,0.7568285408141808,0.808346054142249,0.8863660718262212,0.9075069328699126,1.2318443217460562,0.8828760909691582,1.0699159256755697,1.1663342080567654,1.1254925753564216,1.1965479089840938,1.1676369140373066,1.5141724827158358,1.8963748274856673,1.8278898870322087,2.274196105040243,2.297472607430539,1.907615680738654,1.8206209674159897,1.654587972369606,1.7593411706332232,1.4224030942569417,1.3347325249627948,1.1985295267254585,1.0906802922175107,1.1055650080920674,0.9686156571002398,0.9195582662680166,1.0134012859558514,1.029285842972761,0.9237230447473979,0.967905724817408,1.0673662365778098,1.0264346122359842,1.0560712664027736,1.184217734558093,1.2699511862148614,1.2500582329914882,1.411162370629531,1.5733485853993783,1.5448840331326814,1.4774019360289874,1.4700147168823314,1.3134524645783892,1.3857217665418526,1.5508950576313871,2.045426935061784,1.7980665820493331,1.7359334674895308,1.4710252902847056,1.433796106381085,1.3021248845704054,1.5146529012390286,1.6199332987825252,1.3293174977301598,1.423747432810378,1.7087176975764728,1.6266908895477357,1.4683401248833494,1.7060026760102311,1.8260088388012898,1.6849724668139414,1.602557772189686,1.2912622940868694,1.2864147014501033,1.2746016527687243,1.1649096483318444,1.152641764341577,1.208972259748421,1.0452858129046243,1.03853460421573,1.0591922056773833,0.9507046646698897,0.9566592655321475,0.9473559109559062,0.9766328200172288,0.9808173934042201,0.9700919663081123,1.038696932714182,1.1188220118788648,1.3359994206674508,1.194564227221117,1.2281851307342928,1.2182708093863235,1.1693355356079844,1.0899675410720542,1.2338674825096927,1.2675961309936759,1.154234263864731,1.2253305944468946,1.3669675479499355,1.338571873600252,1.2287748673193735,1.495124929976542,1.6678809922069995,1.33120663572967,1.4297177183760963,1.6400318810339745,1.7984319192754508,1.569097261377192,1.2572812254497117,1.693177254025545,1.4720123696260643,1.5377713141708174,1.3845548472798979,1.205137287517167,1.2314876591703836,1.3708866856907718,1.0863475614420717,1.0866596156790147,1.0059407368571511,1.028261088934298,0.9082644632656907,0.980827601370173,0.7674318155942829,0.882214835858299,0.8490823582586362,0.831125624000863,1.0498079285807644,0.9454673747613169,0.8350874268813133,0.8324529374872311,1.17596810813643,0.8328440866746002,1.0874449573390041,0.8149899779405221,1.3081781923583784,1.4965972047438634,2.1268336327524326],[0.7986163975951717,0.7325032173845922,0.8109026386974079,0.7025341359160862,0.6486771902778844,0.7110282891022405,0.7215016313517811,0.7388480845382351,0.782720607085272,0.7988502001727803,0.8404824038066055,0.8488191463280644,0.8381733031894862,0.9032358681847916,0.9909911323267739,0.9031161417548806,0.9235747304951774,1.0201736913267496,1.2142598796464024,1.1386296621028467,1.3127347254703856,1.4965831887009118,1.477623055412663,1.717603851231026,1.349768729763583,1.2593936140203512,1.1007794046949582,0.9805587040047686,0.9506234026188949,0.8672632666221944,0.9917160404140715,0.849874175334877,0.9112004427145182,0.9862885161610694,0.9274292943243878,0.9812390231676944,0.8902858418391801,0.9733929610772022,0.9976221002902009,1.0824353928271069,1.1400708899687884,1.1824423736047125,1.2817757521486852,1.9105677306847304,2.8511626447831566,3.278631173741215,4.478042126871741,3.052345978804701,2.245892861667544,3.547299465144594,3.199633787282209,3.0322559322839635,2.907591225600095,3.348619429092141,3.6602201102807066,1.7532457433633186,1.5737627949115565,2.6776196372451446,2.1091323385213463,2.1723382859092832,1.5154694110984768,1.2412983715714498,1.2138869973666844,1.4618882356622804,1.307464475764307,1.210903479966823,1.3775304908087311,1.1544404680835172,1.2483670460084464,1.198820843034006,1.4217474247496307,1.8348071165702329,1.3910860056471708,1.5716175426341774,1.1846432193672847,1.5251839842974726,1.1280913096413732,1.0903257562122721,1.1041169573463596,1.141458148367849,0.9923028920020518,1.119889052729554,1.0813539059352009,1.1821629432611236,1.146303274506504,0.9265259634962512,1.0109480415641356,1.0027154831654632,1.0385068353852136,1.0140924797783086,1.0696158875271455,1.2250064655857336,1.2354084882809782,1.0338925847881046,0.9907910619642989,1.0578179139843946,1.0973408074786097,0.908268464514726,0.843308650225557,0.8615937693600111,0.8122339202785038,0.8451613205654157,0.760734881941698,0.7924881736296302,0.867801416679072,0.8642732492886475,0.9066389718333703,1.0618524470112982,0.9430523560891132,0.8923119117690667,0.809567203338151,0.8133778715512834,0.7649018153999348,0.8020668559509169,0.795791573421824,0.8620995085504778,0.9158241409075142,1.0530087827797951,1.2309251699025543,1.0907016248859789,1.1403530587454436,0.9904696011567204,0.9606958209543428,0.8385141262408773,0.7634012252854248,0.7443889025955475,0.8005009560831932,0.8697756698783533,0.9248800124850372,0.9294412141156669,1.0515440570311057,1.111050718277657,1.1409672377716962,1.0194583679815619,1.0304268047741183,1.0079347799471223,1.2775131824330377,0.8356420059721935,0.8320472754966011,0.949548940376154,0.9901341646872498,1.2288987398138582,1.0696341817686839,0.9367697081099877,0.9566565334560267,0.8780919479628327,0.8416213881336363,0.7938043216518418,0.7643451591834007,0.7550190084740019,0.794882421858307,0.7783729662201989,0.8508174046428482,1.3511729576965212,1.176332694383899,0.801428907982303,0.7805704041766917,0.7798964066963525,0.7788724550226714,0.7950376965891757,0.8252927264932131,0.829269265505093,0.8858098439400724,0.9487789148651059,1.0692984585246974,1.2986307220102966,1.221765943721648,1.6266508667914197,1.5338314516762168,1.1970740834080553,1.0832830993660967,0.9936063406250573,0.96845002310699,0.9097045226287765,0.8629598510053295,0.8268995892676726,0.8291032595634245,0.8615853503526222,0.9049209662030495,0.883722482897209,1.180248674810808,0.8752757037323492,1.0446220819409175,1.1367166461204006,1.1067292125021972,1.1873232334824906,1.174537478490516,1.507613048859684,1.8863465809765998,1.8223338378209313,2.2680742314085487,2.339584473349091,1.9012641751787625,1.8175977867106967,1.6251550593260011,1.706321070553804,1.4070379220948113,1.3311269918456972,1.2031661433871874,1.1029570881132758,1.0896550854755913,0.9456955788099753,0.9145968762375327,1.0055333443334389,1.0165355046832885,0.9095477342677756,0.955057951608786,1.0622749935186,1.0380406924610026,1.0551161865751024,1.1889568289946273,1.2958437378178356,1.2732334538257108,1.4187986928316474,1.5912423743572082,1.5489519130564984,1.5200558159788795,1.5071237906764863,1.3426146009939592,1.4222379733230817,1.5804701509581724,2.1364410885017633,1.8213680081708847,1.81710819410366,1.4822776570569258,1.4201296769641272,1.2748163689019938,1.479961268701689,1.6094997433787512,1.3020449975370094,1.410782000935235,1.6981454644900493,1.6302305133816393,1.4593405827641468,1.6409156929484274,1.806764855056905,1.6791387828375046,1.5768025260526064,1.2930968501502642,1.2681302441869082,1.2537557197090505,1.1438812360101578,1.1510549169639521,1.2137609233519593,1.0234376187306686,1.0376123049888737,1.0669855396563004,0.9432924343899208,0.9468235814663561,0.9339792330593486,0.9752744871048528,0.9938342522337014,0.9803154627021675,1.0687055297632122,1.1593154081484542,1.3486310382902342,1.2220203033340309,1.25822180685345,1.242371592422713,1.189873950939122,1.0986266030797625,1.2479241468290003,1.2861367161600943,1.1679430991953383,1.232763382961545,1.3903009971237004,1.360952262395764,1.2378844815564476,1.5020910241655576,1.7034787501538224,1.3577539417080418,1.4259051837833632,1.6726634093430712,1.8420188255071424,1.5991213159466338,1.3012396362353225,1.7221092073581736,1.5038041997008833,1.569833485902282,1.3675220126120364,1.2039753063721985,1.2104284668487038,1.3059515362293994,1.081708232499289,1.1151025321483259,1.0736043556944608,1.0739325336626968,0.9159610747330571,0.9974445316884889,0.7452527070803191,0.8791443160223351,0.8496543448678567,0.8332576798692265,1.1173716937875173,0.9785426379385057,0.8133316173658738,0.825315624299942,1.2141340319711202,0.7876929729209489,1.0614052884777092,0.8160711788223504,1.1492609839737504,1.4166155620486645,2.0936522251795227],[0.7421048538562394,0.6888403857569735,0.7866613105632279,0.7129336762612473,0.7225386580481504,0.7790741825707453,0.8355148369182083,0.8491547294176459,0.8931174423587472,0.9356436526111518,0.9710000831873093,0.9874421889928833,0.9861212942031313,1.034857970652016,1.1172353699987516,1.054157554547625,1.0663089954106182,1.1575388166144163,1.3258385724957547,1.2836190302344404,1.431933338737099,1.6062090826110862,1.5757734199410318,1.8178595371865278,1.468008265198216,1.3979649547937603,1.250343347936465,1.142070752404651,1.1077032475545765,1.0241232876524464,1.1314027320986886,1.0053530620923294,1.0544685570725618,1.1253596917369428,1.080054534059063,1.1179333563044576,1.0498301208077374,1.1235376271950208,1.1480587480410513,1.2053714184772688,1.2847899576580644,1.3030585799244825,1.352342173766395,1.8525950212493336,2.798068028981565,3.2573801134915024,4.318021161361492,2.866233443644305,2.160181364558265,3.371610076850872,2.9432860329276247,2.7991687997397108,2.6667360809566705,3.1548749539573064,3.5036182418991944,1.677492249474447,1.5053523341170598,2.5684376171244114,2.0501384551184865,2.1526350623021524,1.545466102539394,1.3219765552983478,1.31317308275823,1.5607941627519044,1.3978365268156947,1.3205919916043471,1.4845155328940052,1.2740355975983466,1.3529677945614473,1.2986710398377295,1.489555533996997,1.8344404622200376,1.4555984498472254,1.6177507375395193,1.3007589642703965,1.6383771246283791,1.2558326247148934,1.2187035415512308,1.2254306678313034,1.2402259287082071,1.1182563001640227,1.2432914472676806,1.2292953023134554,1.2825184325930232,1.2951839260962266,1.0679545018441503,1.1591026810629088,1.1359986083999405,1.1718059206645326,1.1546378648680249,1.189979492582976,1.3355841971077846,1.3368953671173873,1.155714636861953,1.119743309647413,1.1731434745601823,1.2093670718653848,1.0442268182922654,0.9853708731260393,0.9861779216175541,0.9555958907065563,0.9578830967641807,0.9051099486108243,0.9226997015388141,0.9867600379205045,0.9961308100512087,0.9719675408052685,1.0831418693667947,0.987611644845398,0.953095663351987,0.8888830844529396,0.9444452839446696,0.8922943213001311,0.9549557944381593,0.9490734809335696,1.0306785914904841,1.0839052987506996,1.2011631229991142,1.3390841855778255,1.2220557825966936,1.2581604592425824,1.13134454023789,1.1121555351394667,0.9852931567162042,0.9146271160693801,0.8950221235236033,0.8383802832862409,0.9763779173939157,1.0242033037522094,1.0069756399608276,1.099954854893995,1.1250638264741424,1.1584336003360263,1.0563415681779527,1.090126417881861,1.1151079735795255,1.3395835284952164,0.9865530936751447,1.0472608495014006,1.044037155838493,1.1377311784467736,1.392541828617471,1.2248468758735793,1.1093500542707984,1.1220852866680087,1.045791104271284,1.0167504284710949,0.955015923223232,0.9198554048502051,0.9009674278023686,0.8953028042684247,0.8773950398747481,0.9094352679578649,1.400043001222806,1.2416177998518148,0.9136331071396048,0.9078191826400405,0.8987455624756296,0.9268185988376585,0.935867645742595,0.9601976206499413,0.9934606524262468,1.043636056430834,1.0851930241802497,1.1453891807798082,1.3678665471204126,1.2970379162633912,1.6973215578817593,1.6514657086292395,1.3383001855816334,1.1914990956443958,1.096623382924877,1.0605985243711895,1.0049384111101343,0.9839544556788171,0.9537988548219724,0.9810140435271799,1.0152990164856857,1.0144201722168091,0.9629133861776134,1.1725879968149246,0.9730237567333222,1.1118846217027636,1.2032451759876515,1.1895816335915608,1.2662559352348244,1.2458808816775622,1.5224022507271298,1.9141186014735214,1.8643627204732227,2.3264565712541363,2.501827876322063,2.00722686218609,1.9109831329266296,1.6660877529182667,1.680795301688185,1.4186218685159477,1.3205826479110923,1.1659967961845226,1.1136460648649773,1.0269852063707698,0.9115303287386365,0.9179658405395099,0.9484200516561798,0.9350738473955086,0.8699950851152889,0.9078568725710704,0.9691757107741465,0.9802928195619803,1.0232979145274492,1.128271957889387,1.2390362668894375,1.2478398992351611,1.3772319122851073,1.542892049807766,1.4858956325286894,1.4683823905645792,1.413496159399981,1.2417886021024809,1.304059899528252,1.428246204261848,1.9173771296460396,1.655705881091657,1.7287863186162424,1.3255548979809326,1.2566998705445904,1.1515415798363964,1.3134279974722727,1.4283857568804679,1.1751357161911695,1.2637091526568727,1.5166605271024018,1.477278765195695,1.3327061995961313,1.5347529265899162,1.6999563195545866,1.5454553724752444,1.5326488408619015,1.2126058228803926,1.2116158722573185,1.1666659768075944,1.0520671686777183,1.0823536382129462,1.134238872306049,0.9956266425234656,1.004525035853642,0.9726287540134393,0.9162462164375978,0.960495125880189,0.879711410013938,0.9420195627806749,1.0001178176599315,0.9564340657890759,1.022200939072373,1.1443463080516911,1.3316504102560542,1.1867391281209805,1.2134989195045132,1.1709066600836247,1.0974295915833945,0.9844618937635059,1.1050839908077383,1.1453948100002778,1.056309053054388,1.0971270015517889,1.2421813168622926,1.2267998208569213,1.1225757596141646,1.3454433785871223,1.5504525083780663,1.2460224207568342,1.3159216873721158,1.537514565571935,1.736107021934768,1.5090229907370527,1.2453448695935168,1.6506432724760958,1.4774526290763528,1.4829263908008572,1.2806961015506901,1.123917368120884,1.1411385196004544,1.208041495037326,1.0171390530277877,1.0934338980544807,1.073041333415354,1.060038636466909,0.9086010979055675,1.0101783496120733,0.8014990029282661,0.9131662369304611,0.8891028900762241,0.8455278622094913,1.1942672854075713,1.0110871055943194,0.817908453152126,0.8469674632320522,1.2453394256961405,0.7889470622893038,1.0342931673818654,0.7865865646069468,1.1379537003824247,1.486767267696882,2.1228470883996486],[0.9096387431673483,0.8399860367665065,0.8769153214081872,0.7556849206532643,0.712930748216306,0.7904650199302429,0.8163007496385953,0.8221765217832852,0.8744698507496848,0.878184676545446,0.9299892399568357,0.9358075274143413,0.8910874171248296,0.9795752096368682,1.0727121894645146,0.9632729232931506,0.9677299926537015,1.0603607597665363,1.244443625060218,1.1640021510598304,1.3280889477066422,1.504166370529217,1.4840577940656472,1.7196792141523523,1.3627353420184085,1.2827108069185373,1.1262744269680347,1.0214030719278013,0.9821902846449825,0.908372822662281,1.045692995677615,0.9002505294770544,0.964387459749369,1.0173333964620512,0.9639902482260756,1.0020345148671463,0.9223180189729397,0.9868653830131807,1.0077448768266881,1.078054649742932,1.152746386215868,1.1924092710684215,1.2557200190627977,1.809734793577222,2.7750654298764714,3.2292751050099997,4.346834972423205,2.874723624756028,2.132973559863088,3.384105039755274,2.968568037630539,2.81232661996191,2.6708560257818537,3.137264395244479,3.548111680216666,1.6325403166155033,1.4503687994062635,2.5587402741511176,2.0368927285034397,2.091025779591519,1.4767044961879863,1.2233232376299468,1.2001685708424223,1.4686315655433086,1.2892673838565767,1.203768404307811,1.3972370404970587,1.1756870237679322,1.2921153365316527,1.2479077892977843,1.4444537777857323,1.7999351889990576,1.4170811859669423,1.5525356894624336,1.2275622160763724,1.605527138868533,1.1425942999776717,1.1045502551556063,1.102540758447929,1.1065606468720173,0.9699010638144586,1.0927355914668182,1.1154047468508475,1.1588784679887187,1.151697709685008,0.9334223737032267,1.0123062602307513,0.995882992706623,1.0430835059321004,1.0428281653012104,1.0857176209514725,1.2471782961172484,1.2601269141156268,1.0777320610948515,1.0501443902176613,1.1388905758361412,1.1700192789892023,0.9705265080781731,0.9071665084485492,0.929078252714034,0.8580614617812481,0.8947138195201222,0.8055463485454166,0.8533840651449945,0.9511255519875628,0.917235316777122,0.9712941172156278,1.076200109093891,0.9947785666403665,0.9813767101779437,0.8882560528255322,0.8766937657082104,0.8326964450482387,0.8576373962111516,0.8395564365311001,0.9186979343981876,0.9770013807933086,1.0912609084790381,1.2358141395892535,1.1370800348106465,1.2001617059580585,1.0591697152149222,1.0334722717369038,0.8906819223326993,0.840957296195426,0.7993840568849382,0.8610369038323101,0.9457341958150866,1.0243695431463138,0.9983628004456094,1.1342688920446524,1.1899329803140803,1.1998172063740655,1.0762015839798444,1.0869534956358402,1.0939938042770825,1.3130293883676534,0.9296669760590499,0.9336006415785145,0.9572341261894662,1.0137682315138115,1.2780634429640778,1.086611859458706,0.9715065240374486,0.9852337952154205,0.9179033252340715,0.8933656980053336,0.8391827326464013,0.8207798024855278,0.8368807524256758,0.8469390247035746,0.8471476535752095,0.9243337063585972,1.3836960566204772,1.1963854250456263,0.8608253277510179,0.8158765363936468,0.8311794805738956,0.8238863290951738,0.8482971728402029,0.8611583730225894,0.8736109739630981,0.9286765798242448,0.9763458633284952,1.0894740835301855,1.2989466911914798,1.2747875070205348,1.6993926677403315,1.6497464204858838,1.300858387717008,1.1638706371645704,1.027020950825577,0.9907813197047327,0.9270870058906925,0.8854658234548385,0.860620103443428,0.8620148901659141,0.9157313040450776,0.9091417472278572,0.9044543377010476,1.1719692708816207,0.9157497509045854,1.0945731638745149,1.177619709279415,1.1482964596778205,1.2064911286051514,1.1702338974174447,1.4694672671428286,1.8770840301521552,1.8065131462805855,2.270540816361557,2.385981524047062,1.9415270011240935,1.8497486047713034,1.658428521279273,1.7157176920851775,1.4630290361942426,1.395864101905344,1.288730553561482,1.1869597997924413,1.180598869037168,1.0249836259438652,0.9966114718638728,1.0934354948572294,1.1052191059077647,0.9891569273658174,1.025242164281866,1.1446173851430532,1.1331819999100856,1.1183010681053178,1.2403953037440756,1.3637666062912925,1.3321848991373928,1.4388450166565123,1.642076090993415,1.6049753905848034,1.6340843747037426,1.5969777580023308,1.4357836082498556,1.5136895134614263,1.6856574223434369,2.242399223505249,1.9182739074290827,1.926921199775522,1.5640884019980477,1.4976670655148068,1.3698182164083796,1.5277335355924218,1.6768901900058468,1.3800876584081692,1.4998766935237164,1.7542269270096822,1.7172033774384574,1.5402156597985268,1.652603871215665,1.8653996519778042,1.7451902589847559,1.6202151683487191,1.387741268411869,1.3285083048216348,1.3289170928589433,1.2504871083582745,1.2502975345091913,1.3119021373355635,1.0921386083991136,1.1387439142502946,1.1490624030931393,1.0286324767359696,1.0362650821221056,1.0254666209495515,1.0671395138420574,1.0813878835446087,1.063151589372375,1.1706783994827727,1.2733285302248873,1.4346812473093824,1.3157292086885555,1.3708555737050698,1.343984531912785,1.307433113915594,1.1922461338113477,1.3404646831142824,1.3955188147859912,1.2697654086529837,1.323269600269201,1.4995410465886936,1.4628504958159307,1.3409069860587441,1.5995541786838252,1.7923191523090036,1.465499469252798,1.4945643205592472,1.7664952969804497,1.926986428630291,1.6904748339647824,1.4409122623157349,1.7722937167192632,1.5952672351333939,1.6694209910780011,1.4138930228381699,1.2766730670011863,1.2292394654285206,1.285465960530325,1.1431356395331642,1.242268269681115,1.2239021505015353,1.200312304914684,0.9950624116282546,1.0917458633130153,0.8140168924128408,0.9754504209096049,0.9277805226044079,0.9129903602751241,1.1958099419946495,1.066560425737039,0.8841021490153635,0.9158365630295873,1.302998694502603,0.8750044810418731,1.1397838039485153,0.9265379473733094,1.1971096448127994,1.501162463002335,1.9965348651756658],[0.7653232888939003,0.7188931284830028,0.8169453033077948,0.6245063817584044,0.6484787587583556,0.6208363653621727,0.6073145575766531,0.6366984916628716,0.6359729485124083,0.6184467951621134,0.6487762038146572,0.6958718883262519,0.653539018409098,0.7097474556956608,0.7947763926254846,0.7150996813051147,0.7496890294286019,0.8328066382798667,1.030457024113909,0.9604553513373274,1.1215606389184698,1.3030783482284192,1.308699901978554,1.5155680316937066,1.205247194713273,1.097813122199708,0.9489310329686921,0.8306878819546684,0.7931513899970893,0.7083441736716388,0.7960671729587006,0.6902396152192574,0.7344825245850743,0.7931127123278445,0.7499529418823391,0.7930090974208969,0.7518548270195268,0.8566878937272052,0.8787932806549219,1.0372337751759853,1.0335594174379146,1.0205943867199283,1.1130952220455512,1.7432051401229507,2.6688639346024763,3.1311608602481322,4.3139864792165525,2.8702497596284275,2.143301803637563,3.408473830307826,3.0382596664438544,2.898394000733045,2.7413457377164274,3.1901272396036204,3.674020114691474,1.6513660575409281,1.445371518669422,2.571134663422684,2.04100315359859,2.110737126127666,1.4153030699016362,1.0909718241940196,1.0340055959818386,1.2657269859931664,1.1292823203437068,1.0205096862284493,1.1851473435894035,0.954942820909357,1.0681796778089911,1.0130248327219415,1.251400062912851,1.6518397693060272,1.1949864386906928,1.3925066709419391,0.9816495950298336,1.340905990123998,0.9256287132727188,0.8825721379459311,0.9096418944250834,0.9455237009109878,0.8780238712959637,1.0774923244325014,1.0138998578993565,1.131514824606385,1.083163140780674,0.8527601299264246,0.8764745731187786,0.8694627115116782,0.8569247405129691,0.8315108525093925,0.8644611681937528,1.0157574365750461,1.016080816498571,0.8136187432317725,0.7890637698641875,0.8635973646816374,0.9294285326199344,0.7328519213902845,0.6802968192507793,0.7487009770023891,0.6857714395223763,0.7968999406366579,0.7001519768160065,0.7994744340515129,0.9489780142514022,0.892292854932175,0.9970739383377136,1.152108106499189,1.0299186407108003,0.9805308082862774,0.8662056230511778,0.8158281211253899,0.6982548662980438,0.7270760439214528,0.6580829931140796,0.7338600703303488,0.7639568236771371,0.9070917144429306,1.0752935053031487,0.9017796488231249,0.9475403370048896,0.8290530520628547,0.8110648283258892,0.6896199889603886,0.6338169015620011,0.6784757054861177,0.8473884183332162,0.9051582286114193,1.005191418542502,1.029545638397868,1.1744411105092707,1.265958585070255,1.2844718344799109,1.1508084123813747,1.1397721251548316,1.1022633915631654,1.342424309544008,0.8897672315382881,0.819923187615908,0.8955363308283468,0.9224175901559717,1.1587649136949636,0.9536557680942508,0.8329010166768671,0.8692052851016437,0.753922120536,0.724446204658848,0.6890083125824453,0.6972222321855877,0.6596497108138727,0.7452577776499018,0.6907460830556285,0.8223692887683985,1.290470310149143,1.060154838089143,0.6995951381749825,0.6601531019504363,0.7147595634317387,0.6848359775843835,0.7759941433486944,0.7948672014083468,0.772235933551017,0.8533490995486407,0.927382358487519,1.1089356973067634,1.3500995174758563,1.3094162814054304,1.726572469374854,1.6585948532156503,1.2848584489203585,1.1717372495921692,1.0260011139376894,1.0020968884190944,0.9418460883792799,0.8619827563369119,0.8343016881446019,0.7856610460869329,0.8494267717563548,0.8808846511864238,0.9313144053769138,1.262940254364718,0.9334413823607858,1.1504910965058073,1.239253389396541,1.1899185719248988,1.2429496340548607,1.1910305309367204,1.5220793619395285,1.87324470596483,1.815840951135941,2.2724079844798446,2.287899311452655,1.924936376302465,1.8590799411113939,1.6997249934059009,1.7938635127573561,1.4985412380463132,1.4549788454578274,1.3565876891638071,1.2146581684780557,1.248135556354086,1.0734674663903083,1.0115133158328427,1.1399005995317617,1.1591377862268297,1.0187666778802968,1.0491405314756461,1.1890609290123317,1.1552583828634784,1.1078429328251789,1.2504505663971133,1.3712218051050866,1.3064951830575204,1.4304225352186681,1.638808951650569,1.6159269205550058,1.6095873465848105,1.6299168885308108,1.4796849679785888,1.572084398188329,1.7634342360393223,2.349274724008005,2.006109988136124,1.9744611082011094,1.6730890619420917,1.6271139182593317,1.4875419991637024,1.668793570717031,1.8102513911852947,1.4931238075925408,1.6163457173313684,1.8995709381765002,1.8386297512383694,1.6486564495124145,1.76045041446193,1.9678643454305116,1.8568229531958793,1.7064262017400016,1.4709268321614626,1.4115715529802335,1.4363334017219194,1.3315453772121646,1.304165960587577,1.421431271549045,1.1330505919170955,1.1694458916910724,1.2335669571325065,1.0617823136973588,1.021450855779178,1.0598023541714232,1.0884133682224928,1.0523928551291661,1.0632079586905026,1.1949829398984115,1.2464254483759902,1.4006882769801539,1.3091646439350286,1.389261942661539,1.3775667362764927,1.352248953131407,1.2711847645134493,1.4416094357436628,1.4761944813232986,1.328119510879309,1.4156460745845092,1.5852241927762978,1.5396225133846615,1.4165390712391988,1.7122976898340818,1.8917615471492288,1.5321567657051287,1.5920376393689273,1.8748640239234857,2.0165046928742636,1.768326756955785,1.4491643311237843,1.8551703701744044,1.6084839502582162,1.6885422321807726,1.4375731011483972,1.292792734704386,1.2506069073665993,1.3384141133987817,1.1536581452919423,1.2126150074129272,1.2091246739254469,1.2050768016068572,1.0248512426757563,1.1076436214015082,0.830625294819176,0.929068300435493,0.8951339501795159,0.8935064093569103,1.085013627556263,0.984047001453995,0.8274572759812693,0.8159045413165568,1.1811637601852898,0.7661133846388222,1.0773560870903351,0.8369588470445761,1.136784054714221,1.350748988122905,1.953330454129965],[0.8430587240774987,0.7748466098415006,0.8562117631304914,0.6455233063996897,0.6328033964048244,0.6413519637080907,0.611744985498222,0.6450741117963701,0.5888623939018702,0.5300974844118758,0.547213932069753,0.618246391722705,0.5406298905075986,0.5638207720596367,0.6431016705639477,0.5719998368553862,0.606825139469901,0.6688977294796006,0.8573607406982513,0.818987161940057,0.9773973628056174,1.2022572951595236,1.1549794062339949,1.3870041126831678,1.0755136910520273,0.9604999485217044,0.8153639905730835,0.7036006771817234,0.6590631764430174,0.590069809489871,0.634950358117965,0.5769168266252471,0.6141727129688596,0.6414370596564314,0.6270618896988147,0.6543454154922532,0.6464643187301006,0.7444485068117854,0.7618600069464074,0.9122219260580595,0.9399824677020256,0.9185740886471014,1.0178743081546022,1.6417974056045654,2.618993359759683,3.1199776191813458,4.218346235055238,2.710048539485275,2.032976538169516,3.2569881594690586,2.8118585749028155,2.680499818330582,2.5108582314926577,3.002678040965189,3.6050796552841557,1.5631955622728326,1.3102481880100851,2.455907585423453,1.9966964181930897,1.948536205201736,1.340024141308303,0.9987068363407366,0.8744283509664064,1.089737932537566,1.002305440325011,0.8972390418990166,1.0633030109019208,0.7590336281175326,0.8815067872713697,0.8200461545283847,1.0645927504716752,1.4437321050093808,0.9673508254288614,1.1502758532903976,0.7991479478302547,1.2069071514509457,0.7453256561278594,0.7100039896007505,0.7788608481378052,0.8136588890233174,0.7419797492021669,0.9493991499111787,0.9217850153733639,0.9865277696324254,0.9594360367658212,0.7247941300592514,0.7451499716158929,0.7565167067175672,0.7067869822184555,0.7010166892318083,0.6929060299989837,0.8609063131205879,0.8361356056010296,0.6415647365849703,0.6253956001804798,0.6961882379742993,0.7770538197415604,0.6198296134191879,0.5934703989371597,0.7149087502913877,0.6150980127789013,0.7780807690350556,0.6470499950302839,0.7658685377105825,0.8798901482985649,0.8553964412060718,0.9428135059986341,1.056613625440923,0.9713159551222013,0.9438149052781386,0.840401667426484,0.7848444354271453,0.6666668358614374,0.6663772744424781,0.5599322853875853,0.6325876788340346,0.6676858644666965,0.7833766072464396,0.9111572896992925,0.7384715318328704,0.803014353363046,0.6910688230056303,0.6774681240621029,0.5670032269690475,0.5583068751722786,0.6145426171807419,0.7981973151700479,0.8672844755437858,0.9734395901110202,0.9535176857876135,1.0862547994292857,1.1483563736387778,1.1541588263836515,1.0310907583641842,1.0286724955304831,1.0334160279042754,1.2611280139114223,0.8019209872568378,0.7321769805022678,0.8204222927637591,0.8259976598367933,1.0692850369531668,0.8284084546394147,0.7375000468544324,0.7637250360612832,0.6529920276234338,0.6363784204337823,0.6026680581954486,0.6347606715378468,0.6136570992856105,0.7353382317837717,0.6776272057304453,0.8170742234849377,1.2760877257067087,1.042782626629987,0.6748786316330324,0.612036892420922,0.6992150019093096,0.6049753372840094,0.7182509965186583,0.7206957866289124,0.6839454028573354,0.7572749453871077,0.8206522460828599,1.014170517796897,1.2414383216104896,1.2204621037387355,1.680055122786174,1.628583957886695,1.2374795340555906,1.0943658939922523,0.9325198498964928,0.8995932613341984,0.8409177219187065,0.7627241128115366,0.745033272405269,0.6978242215965641,0.7705454766357582,0.7638693621137139,0.8256815947999975,1.1595804721616803,0.8443014546921177,1.0402981468975243,1.114222025235754,1.072146969063001,1.1222910911162889,1.0822382176095515,1.3897446169733005,1.8398326344396805,1.679568751541544,2.120259972446367,2.225682955018752,1.832745054994492,1.754848934458463,1.5582813724909605,1.6318995738324,1.396245818633232,1.3351467083390298,1.241425970397256,1.1552930748926953,1.144771589198137,1.0119675979415625,0.9797324468149751,1.081075595603561,1.095660057675447,0.9965935639580913,1.0361754706269852,1.141475008660185,1.127962977545745,1.1348462681458487,1.2679091223688517,1.3716774362730406,1.3354476156558255,1.485254965356919,1.628076503995198,1.6001884921151361,1.553789171613314,1.5450206655699905,1.4027907699342397,1.4630081573660736,1.5832575459483682,2.094301813834863,1.801601136769416,1.866058985864346,1.501245986054139,1.440440991353547,1.3258633620096199,1.4558996029764124,1.5876583214432531,1.3213468841992961,1.4190901273934597,1.6506389755916884,1.6129428632843092,1.4622584258513303,1.5795402847184392,1.7565947884142026,1.6421763497984483,1.558722282754217,1.3231944366926502,1.2860136172682166,1.2742966611166229,1.20194502881331,1.2111615827141506,1.307779207277146,1.0873132694683043,1.1119781580621981,1.1407275843131626,1.0249555087821858,1.0193296164643642,1.0257539697935152,1.06767701391848,1.0709683993915533,1.0676776496901972,1.1566177494426997,1.2374573693585353,1.4014853514105696,1.304781573861146,1.3448569167810165,1.322519307479372,1.2725252974702335,1.1735421902381862,1.3074864387623069,1.3415692848649503,1.2471716667808899,1.2859101557585577,1.4274843483649495,1.4078600900399425,1.2880351757044353,1.4916400010420625,1.6906918098402866,1.3882083902387157,1.4178593826562522,1.630936929816636,1.7859257355726095,1.5864993968380883,1.3569573100882915,1.7029042497151172,1.5564960383354625,1.5988457645461052,1.428636300429723,1.2807969937002501,1.281616982247435,1.3686718041237471,1.1614515207406717,1.20905687707463,1.1769418195505155,1.1731446979493296,0.9823852243401572,1.0629980628391844,0.7771278462342364,0.9470047463253647,0.9047241091071943,0.9053812466061116,1.1320801544712127,1.0341003549327723,0.8680980302253373,0.8585651444924148,1.2431797125845458,0.7979507246710927,1.093983685116509,0.8503495817950054,1.0671478389264744,1.3225915672425381,1.9670987227733663],[0.7509135920163569,0.7096477540448787,0.7925899110837201,0.7233019995972776,0.7774082960664251,0.7427340708319154,0.748671278435317,0.7423082925958241,0.8028409164243482,0.8422486952800402,0.8789243425239819,0.8862963825007598,0.8662049923563916,0.941068767583616,1.0096894936897451,0.9346672630048861,0.9741878983566404,1.0679335358051323,1.2454987024288682,1.1819823071950366,1.3084943889328717,1.4794451539887774,1.425504109257507,1.6317436253523256,1.3360346006030732,1.279895659601271,1.1611530954093563,1.0716278536530304,1.0035479834525611,0.9256507279390974,1.038297471729875,0.8821372830055897,0.9320447304364805,1.0070741634126603,0.973497619945864,1.0244289740286043,0.9600128310446883,1.068776618058553,1.073799530510663,1.1630764374047242,1.2384655086775718,1.2454635060071524,1.3274024444134889,1.8596497831785468,2.819232564495428,3.3147746285350883,4.340483220546375,2.8357693533073283,2.1900659549077437,3.362695482512894,2.8817916488684423,2.7363741021937167,2.5659847811846572,3.0529064621581727,3.6052839922717554,1.7368669066288651,1.5227614852710445,2.530842544821485,2.1128092839938857,2.0987451896273654,1.6228285946301102,1.3097234277776795,1.2129284752260654,1.3996419302181762,1.315749595426848,1.2546916628813831,1.4079665633542076,1.148335763742742,1.2729237193788572,1.2128587833919813,1.4149138046903804,1.7402995949785625,1.3388300473446433,1.5011377527357415,1.169930975079663,1.5615205105824528,1.1308223821745884,1.1056231266884187,1.1281687127472844,1.1324897262127258,1.024947312417884,1.1414217531798903,1.0986999802805215,1.1447987865032911,1.1471443474204754,0.977554537295828,1.0577774448991888,1.0494403865072106,1.0689601553087151,1.0833325562687433,1.091565256111189,1.2623720668620895,1.2327988197961792,1.0357068663727316,1.000782954585763,1.063757832562393,1.0910346764949728,0.9271697031498379,0.8595863268751807,0.866419471057522,0.8183644781389721,0.8280628112238344,0.8224834014899887,0.8668382423110129,0.8958001720884469,0.8835515978516048,0.9776951861838806,1.1173490486011821,0.9847437993624941,0.9168921392325082,0.8484142765448087,0.8273403511071339,0.7786893530788479,0.8426024643316776,0.8794051125577745,0.9635786324645336,1.05081891613803,1.1430180030952266,1.2519073250310009,1.155747804338821,1.218598981268379,1.080394307985354,1.0683867396501692,0.9229187796685409,0.8289810687373766,0.8107007130588056,0.9444440913056522,0.8977356082069097,0.9698581280467403,0.971140709783451,1.0945029911307822,1.1330620299461622,1.191125716709511,1.0730020375955593,1.1121749859042858,1.1419682759236067,1.2782894320209828,1.0151919424181495,1.0202408633215658,1.1138204089779586,1.1303324600828952,1.35374810432211,1.164989028795494,1.074814370092664,1.0808204356024858,0.9975007332995456,0.9763204877089555,0.8642649227032368,0.8279660519960232,0.7875804617989565,0.7910787826325503,0.7704458529064541,0.8457280732145959,1.278319696376468,1.069824230629871,0.7672045900731261,0.7610168717534596,0.7748092949625783,0.8073223043772467,0.8412911293583076,0.9129753692089299,0.9371198605742177,1.0286333723615873,1.0767708045125792,1.2199985324123301,1.400766045898488,1.3893766530660445,1.839925307069295,1.7884903287414708,1.4472421921182024,1.2751468408137283,1.1323943227691067,1.0724566606817207,1.0232810629345461,0.9533591557112429,0.8864830775546781,0.8902285052340521,0.9176823536869421,0.9394935620872136,0.9620413172130832,1.3182687308085976,0.9572558338806957,1.1418536453961239,1.2044862206878557,1.194493635737005,1.2448500249467325,1.272783462064507,1.4702099454326065,1.9586257836173893,1.7088648959798265,2.102860220152962,2.246450577193024,1.8564478361420735,1.7407703887661339,1.5276059732572564,1.5843043173840146,1.3694959527072055,1.2746046922016665,1.184983497274728,1.0659545406533784,1.0646607374374821,0.9283881879463945,0.9097701440667393,0.9916856114090302,1.0109872959336699,0.9169900194974998,0.9366222447451137,1.0677668083189935,1.0845892479377506,1.072172657955972,1.2033352616367474,1.3428861864103754,1.3148996945796683,1.4267272072099761,1.6282698476229893,1.5585661311844363,1.6080976554213045,1.5489411879600716,1.3819810083514903,1.47045563417659,1.6077496907901498,2.1057920366732783,1.832504660627602,1.858932011468458,1.444746527035352,1.3584842980360285,1.2424511111482968,1.3704766826390722,1.5141627283545025,1.2424235075246162,1.347196862903048,1.5633424480529643,1.5520890684331539,1.3904679334303316,1.4802773084053231,1.6970477562257837,1.55906796327128,1.5146858446011164,1.264999170892842,1.2049457321951482,1.2052004861156915,1.1358634436763815,1.1486431117240383,1.2145375135915994,1.0174962664822627,1.0479120596580545,1.0824665773467825,0.9601177009279602,0.9687965483018307,0.9556238947183247,1.0275358712888147,1.0339267473841485,1.0272726066003366,1.15367854385173,1.2486485617521423,1.4144008004329012,1.2880729089964915,1.3464677044311921,1.3123318123368046,1.2487353727265291,1.1246074071908412,1.2564917851990467,1.317338878833814,1.1929492996045445,1.2155383640880284,1.391541481154678,1.3675124067237796,1.2202498955544068,1.4651711256579782,1.693680534273413,1.3611262579968761,1.3806421132036062,1.6495027315389632,1.8524518136520478,1.6208685151123539,1.3581976906933724,1.7279932926646393,1.5479351752895694,1.6009041762114689,1.3401212879254676,1.201371766189257,1.1785050487095436,1.2139327892107286,1.0718667413940737,1.1583258033144723,1.1285053545659005,1.09999970892474,0.9191281283600086,1.0036969646406437,0.815353088720381,0.9052466002123373,0.8618110732522548,0.8562053500362927,1.0891224583278702,0.9597927849350972,0.8324530339282548,0.8612106724358485,1.195721319743951,0.8048420495919584,1.0941758365128247,0.8540401686920605,1.1993773131979792,1.5095492773729469,1.952408913471349],[0.9668166706803003,0.9446383847606946,1.0472866794057243,0.8449570402633224,0.8960703774447021,0.8618508936240387,0.7662552091140294,0.7794338943159067,0.7585445958266583,0.7098827270474916,0.745820353263076,0.7903684600783266,0.6858220798893485,0.7423310635215362,0.8030530154040769,0.7114613918223672,0.716900588802748,0.7778015458280876,0.9215238227926493,0.8699849687047887,1.0158417892331906,1.2152355562579593,1.1571387988689703,1.3906804392147611,1.0827110302789,0.9865035739607031,0.8472588182157437,0.7715255109155889,0.7273068800600541,0.7048794921637809,0.7454054064776123,0.6979190935594305,0.7362887105572328,0.7348524902434668,0.7260379942486364,0.7431654076681847,0.7340719618717053,0.7990336723309467,0.7927239272097725,0.9274100281533555,0.941224691005807,0.9446867987069693,1.0481043086756086,1.6643997478431694,2.6186363264397077,3.108355556499139,4.20383497686529,2.710419642964076,2.058297447432042,3.255824562124062,2.8138111919947697,2.6859524808836768,2.520432011330666,2.9932924389176803,3.7065845308084917,1.615956571234951,1.34103412132251,2.4671540778691625,2.0702534334968736,1.9516690079415486,1.3593194794170418,1.029407496938202,0.910271337110035,1.1160573036291823,1.0334181109707945,0.9213111440079964,1.1116073224564882,0.841408987492779,0.9657063892306393,0.9449549824775139,1.1753781101598058,1.5305610637687537,1.0801781554119336,1.214627404719033,0.8970614360495861,1.307425893253585,0.8220262467363469,0.7851147642357742,0.8379991534096072,0.8799400509449742,0.7741976461805973,0.9635425950820837,0.9253838457330582,0.9961484533154439,0.9676858979809692,0.7734317855401972,0.7828272161584761,0.8281947629404973,0.7666753467221581,0.7958966188321149,0.7745883783138595,0.9428736962758053,0.9149500439913617,0.7934504925894343,0.7715311924252822,0.8514293123261406,0.897681020664921,0.7424085895540505,0.7331479041033759,0.8611125501228954,0.7182066773331853,0.9099982236477848,0.7818931323820073,0.9064545783744289,1.0184850681497115,0.9733009320117262,1.130222954406079,1.2662657320893336,1.1567478826923978,1.0935297370222066,0.9916260164741666,0.8731260059145833,0.7696503177649431,0.7654189873462499,0.6830077500014994,0.7249507999615978,0.78830308403846,0.8532907174299033,0.9595573478720161,0.8345273058438981,0.9104142527031521,0.815716805494226,0.7861796755750696,0.6966606692680837,0.6920084063505487,0.7293246352601409,1.0578332119278846,0.9542140452337158,1.0976225141232863,1.1012252572550378,1.2601647339266615,1.3563156756264978,1.3466970584511553,1.2235120409616163,1.182715852871287,1.1509000176516806,1.303670119514726,0.928489229518688,0.792545268795909,0.9244465566109197,0.8481303578350233,1.0588504151292732,0.8395269757143978,0.7843424511624935,0.788611330759276,0.7388320752804445,0.7375152240569312,0.7261495479520671,0.752989642849392,0.7269113743368136,0.8730406658503486,0.7994361664660958,0.9860226919557195,1.3058167554766076,1.0467254883968382,0.7826210932541925,0.712661822102985,0.8151445614789192,0.7339571979498524,0.8547084923655237,0.836161547182852,0.7866302952760916,0.8118456506537954,0.8682983103702213,1.0891472964992244,1.274521268621867,1.2787454248035994,1.7089418526008366,1.6802157991264675,1.278305153538945,1.1702664372275042,1.0238636162330148,1.0116990114622708,0.9591701727409808,0.8780721460838149,0.8530596509025635,0.7817618632834609,0.8610609239958094,0.8782675663422805,0.9665919066045732,1.2951535739804976,0.9972978090451069,1.1955520254836054,1.2549900755194943,1.1791520884850575,1.195827807967178,1.1253963063316037,1.4383723713270233,1.8510313679713433,1.7152104453566555,2.1068146865099777,2.0901954910400513,1.8373308258363457,1.802994555214808,1.7028690706193712,1.8213344441198114,1.5937891632667744,1.5590204099464007,1.4792408104462051,1.3359130946735431,1.4213662161161127,1.2663718779108404,1.1925711929602039,1.3411535896857947,1.3750055146690676,1.2286867576027327,1.2373611344324316,1.4027674669505,1.397883390432428,1.3034031774750245,1.4438590369652864,1.5792388208244164,1.5011617564094053,1.5804852331648085,1.7997578379690577,1.7400630243215625,1.8529155451778156,1.8178734409843764,1.6852797582059886,1.7818500558919923,1.9703388181528225,2.5190256203621795,2.2082268545949613,2.1533994356038906,1.8540638555380191,1.8017897179942235,1.6671286059416146,1.8244262648316942,1.940717372885519,1.6739106100651264,1.7493845714589005,1.989174005444511,1.9642210165986231,1.766329250220873,1.844652167282336,2.0935246872066253,1.9349434748655363,1.8086989474858963,1.6089320602659478,1.525923899044998,1.5557932402610892,1.5054674992193022,1.4666093875512647,1.574945602447185,1.368033481848051,1.3788246181365689,1.4416110013538144,1.313154505694527,1.2546315030090909,1.2991711331654332,1.3386103692567028,1.2858699514036103,1.302068772928984,1.4637599259700984,1.4874638109899088,1.5999224640073963,1.5399211188010364,1.6278020492429448,1.6098466543047771,1.5824490216679576,1.5059507889805743,1.6468062716621228,1.6918260018648599,1.5487469633151225,1.6094414510380481,1.7864664864028654,1.7369846922696195,1.5958073206195234,1.8822201029997723,2.074060994727372,1.7196119896099609,1.76679533131547,2.0254810327469417,2.1286111822334397,1.9383617010844154,1.6651757954938962,2.025838704282114,1.8067623143087466,1.8578601382574111,1.5751258903991743,1.4671121760128552,1.3822462776031603,1.4209184975154785,1.3296117862028884,1.428480048175155,1.406517538536451,1.3894611778670414,1.1672041044944583,1.2616405904638393,0.9861295244868242,1.1144470841042722,1.1016438082462505,1.13246499767703,1.2407941760858296,1.149765843698179,1.0687474346804255,1.0773804634330866,1.3128282825324793,1.0348427106147782,1.2461109497672698,1.0731757642213486,1.3470918738453557,1.5283298969568118,1.9376798197624574],[0.920636978643807,0.8904995140595683,1.0369259935887598,0.848960807182101,0.9371414557825687,0.9070702097776381,0.8657392763997781,0.8819087094775323,0.8239243479922973,0.8081807433695449,0.8184506706957657,0.8611204346217302,0.8002978559127061,0.8181022074157355,0.8702058326013391,0.8079109955681061,0.8371041864103617,0.876953142079732,0.974949369844827,0.9749500478563051,1.1021585832615892,1.3021069756872228,1.2495585793436452,1.4524720084204972,1.2112622023745803,1.0948528508971427,0.9754590305102167,0.9120656551832093,0.8825618218221155,0.8509804260577087,0.8157617016088415,0.8454530356954797,0.854725163825932,0.8504364787036042,0.8724583572588183,0.8792599237204637,0.8966958021971825,0.951915421771472,0.9534505945401678,1.0795350174377203,1.0706320360732744,1.075132204946038,1.168369213392213,1.7180383282751852,2.6089717194662625,3.0881425127896094,4.157701782955789,2.7035673373289297,2.0929253611667034,3.237565014127486,2.809938150861014,2.699319386498885,2.5377864880016494,3.001381840320021,3.820770364681924,1.735003651275907,1.4596472096474928,2.528967350181724,2.193870553774242,1.9891246980761272,1.4481238026517833,1.1634250720898927,1.0147596507751102,1.1784332529883472,1.141475328208173,1.0168293711088767,1.173865111133447,0.915161389391516,0.9854308492784652,0.9660313340106094,1.160207329714488,1.4628779420457751,1.050685031645322,1.1465586952923092,0.9639183419365818,1.3038731203595564,0.917078437824432,0.8798199523208349,0.9595863662106185,1.0285916446665422,0.9377549235006735,1.1264664719423734,1.0698984569700567,1.1251466985101939,1.1013459193001784,0.9464175245679265,0.9380468033232858,0.9804503667451786,0.9023671299028831,0.9043289205402452,0.8562683518515608,0.9455628855646743,0.8941278147630174,0.8428712918001519,0.8337081565872879,0.875593601376293,0.9245871975980885,0.8480933257221223,0.8490680860376972,0.9590692227489973,0.8532256432616081,1.055841945916248,0.9471818425613817,1.039971436546969,1.1652557711590366,1.0870835027836272,1.1939319318469732,1.284561919043472,1.1875302213200754,1.1669649153551105,1.084953190856543,1.0133169818769672,0.9168006923518345,0.9431588945092803,0.8436932318215766,0.8822823162299556,0.9293862682422666,0.9764066143579018,1.0325932076300015,0.898994262724079,0.9433241281126892,0.8976407372672854,0.8834614159799669,0.8354734893928389,0.8331702161025673,0.9007235347872656,1.1482695852927962,1.0816625390735282,1.1855048010724172,1.1948500026748703,1.305985916174961,1.3793900950775955,1.3856056553938618,1.292762008721364,1.2611933283493924,1.2652574174917033,1.3866266650856773,1.0794819041943666,0.9622064509751509,1.077688924097941,1.0068640397247224,1.1716215639215106,0.9726839832981264,0.9406883985927578,0.9428705416138131,0.9014124419014397,0.9035766992598784,0.9033677194957634,0.9219744719668084,0.8783337986192515,0.994878659185337,0.9011409391554529,1.0640046517707586,1.3632540450598236,1.1264808208050388,0.903755195485964,0.8537239429584336,0.9588699684018869,0.8854033384731238,1.0006270442124354,0.9993853734977136,0.9661933420962121,0.9777859843497,1.0251695408128694,1.2218560300585277,1.3791536973661231,1.3807225802776166,1.800420809129052,1.7614297335971607,1.375302829965403,1.267097203370961,1.1626272088715868,1.151386832071894,1.1070997665519597,1.0403975103083152,1.0188194112950204,0.9553792535355426,1.0250236338554146,1.0496925821601186,1.1174205356550833,1.401336006953127,1.1301270660848652,1.2939904503876065,1.3364766802451573,1.2770058449359423,1.3169851066603626,1.2658015239554947,1.5511451810918289,1.9639472414948722,1.7785692759083016,2.1110847135778066,2.0581522109504435,1.8503529809148385,1.8122073091030604,1.696055792204764,1.7792271646773958,1.5910246686071494,1.5314050904248182,1.4413680364702983,1.3295603781911607,1.357919465554846,1.226366506957636,1.180495371572596,1.2787298276943844,1.2933933470960195,1.1834333011358034,1.1919296187146626,1.3018417686260784,1.2970257074934002,1.2438458273844124,1.3657853380812948,1.4769286024759734,1.417301776283807,1.5381845238259761,1.6982739622169243,1.66516436910092,1.6695109149257352,1.6445122320147219,1.5265310107735721,1.6043245090221743,1.7646593041293466,2.326873972194821,1.9919748543673241,1.9834081336662617,1.6839455725955232,1.6434699622669233,1.5452517165114243,1.6680089273092464,1.7793262981689728,1.5325873363218658,1.6366370912641257,1.8293320959107844,1.8031342478845167,1.65432788384171,1.7314507665168677,1.9427064381196075,1.7978802934999245,1.725122395313312,1.5258754791254396,1.484125534341257,1.4889510019344376,1.4274433311958021,1.4272712576299174,1.4998097384076208,1.330206182768655,1.3419389892931821,1.3661526799791432,1.2500806356946335,1.2182575103795539,1.2316864112326191,1.2559219737470484,1.2151884937816368,1.22775623549546,1.3404758833409243,1.3710034813621832,1.505167684559785,1.4183829610435037,1.477771187419808,1.4680145285184045,1.4415388403673337,1.3845887210510388,1.5108894377702045,1.5256000700048193,1.4181782228057669,1.4797777253293602,1.6142834426427732,1.576012366265277,1.4658722372131674,1.7015727955511994,1.868171217372145,1.5489525688925108,1.600446369229923,1.8324105916890985,1.9567140771822051,1.7562735632198776,1.5015294091287779,1.8165730449310962,1.6206003604649355,1.681860733303316,1.483089430634868,1.3771871371244735,1.3591389089774393,1.4247343172573537,1.2774599855082864,1.3195376434365524,1.33137895382027,1.3088634293118653,1.1659591333294956,1.2603258738084537,1.0479905610242692,1.1296815524511725,1.1132489743625391,1.1147892313469636,1.2383032984405669,1.1895469499214486,1.0451372283461609,1.0477972248482395,1.352295290628483,1.018239639726207,1.2060716142439973,1.0287495078380473,1.2660358284314828,1.412777197473608,1.9016374337539657],[0.8124714775513144,0.7497392717946165,0.8549077073113449,0.6695961553656243,0.719799368450036,0.7037855654872979,0.6534110647358661,0.6715177832416593,0.6384804555197553,0.5905668849951141,0.6155991754249777,0.6673332375590038,0.5739857516304733,0.6088103320946399,0.674892435683646,0.6022882431342067,0.6042636140180596,0.6663392526716164,0.7865987979487619,0.789537594188548,0.9167395540644988,1.1461925873464804,1.0733787089076179,1.2988896619087325,1.0312435565366844,0.9182796713818365,0.784001621346667,0.7078434039586359,0.6538284392121526,0.6072149139817712,0.6297753277867402,0.6029892113624017,0.6409651828986349,0.6367527569790118,0.6447795427359599,0.6528191780171978,0.6676217032607995,0.7437257720857906,0.7403228870355009,0.876571116606655,0.9079513468335332,0.8743343809042985,0.9670013180825017,1.5257231387547685,2.483006455669574,3.020855176682538,4.006951615302616,2.4850167052105756,1.9294086422400134,3.0593702466252974,2.5475317312037515,2.4421619096376306,2.235460074762629,2.7366990226402654,3.5822112720195345,1.5016848223430446,1.2241612248140787,2.318002729724061,1.9784954642511776,1.7757916538697576,1.291406433270321,0.957949344321606,0.8183851386400632,0.9885985606869354,0.9466562398747614,0.8434118087784896,1.012335260089979,0.7122364611108436,0.8362010496131619,0.7938140768408867,1.0197873252663325,1.3406381226723607,0.9026047514676244,1.0391742275153952,0.775668933801956,1.2034475912115385,0.7137341772949112,0.6729464866964919,0.7518041831966323,0.7945455555465504,0.7174607126572788,0.9205966302439944,0.8801348014747654,0.9222891231916328,0.9081117638462726,0.7087446618512723,0.7197430835283406,0.7661182914744552,0.6952350739072287,0.7213607243437359,0.6584841909356676,0.8164124216836882,0.7694169745755486,0.6493142568256042,0.6411736337565564,0.7109290137496623,0.7645690068313423,0.6472611792827415,0.6447276749139198,0.774426321991545,0.6412698269914348,0.8186622273844448,0.7065916104970217,0.8244388620544746,0.8949745387692675,0.8466701567239845,0.9866299825383099,1.1046703120231742,0.9958287150515256,0.952160567227182,0.873603002010803,0.777653571206301,0.687660556402796,0.6957793644620001,0.5922479383848319,0.6528492058070301,0.7315281898021779,0.7807825848626931,0.8595316580682993,0.7237885948200343,0.7832025346469389,0.702811834075541,0.6931381985928325,0.607001897656862,0.5966460527988409,0.646106570571317,0.9459764245250959,0.8676756663912772,0.9957152271013092,0.9738719525127336,1.1254075322083412,1.1842170577228723,1.195713275524397,1.080266723344411,1.0730307642001278,1.0900639065226572,1.2311500280062238,0.8833659074103152,0.7690343230287433,0.860170454897214,0.8117067268398184,1.0293538519842702,0.7808808013278837,0.7376587682375518,0.7452553189609091,0.6837713430691513,0.6846237538588831,0.6612720763800131,0.6831601986430691,0.6474845771903429,0.7701509676342458,0.6986481783696369,0.8541742164516656,1.238133778586956,0.9855145163540133,0.6971612033221555,0.632682803314978,0.7244227411541375,0.6537116431419085,0.7778411952044649,0.7703228783841607,0.7318062320813923,0.7810474669991241,0.8355483005509065,1.0423413923415275,1.2200071947962001,1.2479045076656377,1.734342098158684,1.726110875303906,1.3197185735325936,1.1488296143057568,0.9693047260246781,0.9324288479203053,0.8838913951284469,0.8006326367033603,0.7712194214947278,0.7155296717480152,0.7967456023917097,0.7865906313855797,0.8511345278348144,1.2226778124370414,0.8860138771307564,1.0726114771839685,1.153955506518943,1.0957501968729446,1.1047159733436227,1.062857117339485,1.309901763186314,1.8248673331186658,1.5545047345884933,1.9284759030294334,2.0132255182562866,1.7169440399476334,1.6497978176875234,1.5064503267655105,1.6101174517546515,1.407122976827189,1.3375407925630403,1.2590584699665346,1.145526634220557,1.1622613727356677,1.0216721079997058,0.9872371049686393,1.0890362627156593,1.1045636104281524,1.0020103522986525,1.017475862135644,1.134975570685213,1.1454684434915599,1.1143037521591659,1.2405775547446742,1.3651931002417657,1.320601834260072,1.439977100543796,1.6170877164665383,1.5672401335142079,1.5889479711923395,1.5329125377742598,1.4045594494593963,1.4748641764572317,1.596284747830506,2.1140891341584696,1.8113945620034813,1.8807035039916624,1.4947796498195578,1.4341072791634601,1.33598700023569,1.4560635754272446,1.577805390166049,1.3263645120327388,1.430820267137095,1.6233533608380095,1.6283811419833822,1.4695728777667343,1.534763877353258,1.7725514505799562,1.6156583097719275,1.5637751316976796,1.349170964551535,1.2861620252449337,1.2892858240261713,1.2241448384012141,1.2321384616488928,1.3297937857067805,1.1182726140931518,1.1425567264868086,1.169460208874727,1.0508729324285477,1.0397598210052499,1.0466747848000792,1.1019432762569137,1.083167952296042,1.0838000565068582,1.2043370847527806,1.268514257551934,1.4226031126728436,1.3101130534330405,1.3658715674207877,1.3431473563516316,1.297036653040378,1.2040410994656534,1.3304655777754484,1.361229410532164,1.257790063294662,1.2994259487611792,1.437528589918063,1.4123760152092262,1.2917475548368889,1.5159826954123286,1.696238300969903,1.4020239465470958,1.4467828813115449,1.6719709884099423,1.853325115257252,1.6404990545984939,1.398772711373813,1.7292988251332375,1.5513219119128365,1.5786831692305545,1.3570749141737077,1.241268377481707,1.226762897370981,1.2704237229028963,1.1320186028714132,1.2320840966738504,1.2186438969648656,1.1799251775636048,0.9809805485618053,1.0771263692764177,0.8287752411411866,0.9659886932094511,0.9319241422581149,0.9347489278151743,1.1176438205370351,1.0322888733039364,0.8851831577680864,0.8950536450563784,1.227438444466841,0.8544094921614124,1.1054576763000392,0.8961545833450365,1.1563228484185895,1.3667594167974455,1.8408640454444514],[1.3006400275517398,1.2073475541645802,1.2465003580236405,1.083447860213053,1.0612327959551944,1.1245704571235087,1.086076637879273,1.1182986889747517,1.0978039295920323,1.0427975577106536,1.0831478124899074,1.091896865112314,1.0271212977764546,1.0497859823909332,1.0919458671982554,1.0357996735210486,0.9711414528482585,1.007470391269204,1.0702391014438226,1.0319629152268968,1.1125618911770487,1.2499014773891952,1.2498250848210832,1.4168241409762108,1.169361658769621,1.1069259513824556,0.9889953409913056,0.9760380467953994,0.9484225921042947,0.941539025548614,1.033391768716178,1.0079023852441138,1.047443442365637,1.0034742518324433,0.9819307205542629,0.954325788512852,0.9786609760290029,0.9764119776891146,0.9353000377066828,1.008966883528836,0.9910806690809946,0.9863132194543376,1.0327390348533314,1.4819281324890816,2.431103978955346,2.972834252872465,3.927168912378575,2.3923886555333183,1.8679563426247652,2.949561758388375,2.430538266709799,2.3593596929619536,2.121102233829962,2.5951005583757913,3.4673863891187917,1.4449885561619955,1.2483966474826103,2.231736141674247,1.9056982925313595,1.8045162674506987,1.3630281645168876,1.1037461864669922,1.0416298785003042,1.1839004981642731,1.0918689717108574,1.0489859588533814,1.232527371309605,1.0325524031291256,1.1603886208147611,1.1352999985050103,1.291423139158229,1.5494380765478262,1.2178273982369494,1.320675615800007,1.1026450143201447,1.4251383176300683,1.0139931001729858,0.9886973364102779,0.9941323035439097,0.9592601629555917,0.9625303528620344,1.1292505179975572,1.1077477060621281,1.0647489460842157,1.075817703922994,0.9483894557811106,0.9442315966744693,1.0131100711320393,0.9662377797318668,1.039733660758977,1.006764146497545,1.1399793368236446,1.1438832601832225,1.0739623934503095,1.0874321151751343,1.1721706268408272,1.1940246245065393,1.0911020813191175,1.0985878798345152,1.2122335462766116,1.0633504781651064,1.1996394578526541,1.0770430660259498,1.171079952678179,1.2109822154996475,1.1822375783625352,1.332860495178387,1.3702590276577167,1.336662146155772,1.3241453683842455,1.2430785629870917,1.1339514434789146,1.0727891916326748,1.0284618876430212,0.9555695193073837,0.9717566805861412,1.0087652270349647,1.0125010602162854,1.1165745485510596,1.0655392466908373,1.1136292021582423,1.0684953420244994,1.0355712086657864,0.9760947955950414,1.0063997119233614,0.970535612830961,1.2065730991371666,1.1852326276083025,1.3283114785866619,1.2776812547534695,1.4063456153967715,1.4907286149121222,1.428591454079976,1.3444602142246882,1.2917381711386375,1.3071727075533877,1.4298694208519371,1.0751932101758486,1.0093811016552117,0.9962975996498389,0.9902610189745628,1.175427174463894,0.9752082173379892,0.9417107830850637,0.9345804497194437,0.9435194262852901,0.9515697571711887,0.9909380933429046,1.0328608623811049,1.0392152591140151,1.1510659052700298,1.1448601562513725,1.2452739275315565,1.5353480190785584,1.3411785355601564,1.1398409802343867,1.0867959301060464,1.1136318809834025,1.0655101618433167,1.1137909422646508,1.0423744831780004,0.981493920847434,0.9760988528220655,1.0247528910604666,1.171375091946097,1.2868361806820294,1.3407815178344962,1.7923172451463059,1.8111638113247506,1.4334530685006897,1.2914569885982352,1.1051363426677852,1.0882565612481654,1.0683929534170997,1.0271283060193148,1.0531860450941344,1.0200014798856623,1.1080936742006815,1.0217033594018012,1.091718617287928,1.3706897105422284,1.1399479846097305,1.2525873405813532,1.3166309522591082,1.2459572572112971,1.2281853123608937,1.1507088143224833,1.370938280821708,1.817477650020197,1.5819680965598455,1.9732595084257094,2.1242182050587513,1.8268529607650141,1.8060485883873156,1.7203173982075202,1.846996253041409,1.644770291984404,1.628991432216144,1.6133462773517906,1.5368300814129978,1.6049839279342755,1.4836178359812946,1.4233948916202137,1.5636550510025247,1.6260385357829827,1.503505372016194,1.5054017082639741,1.655387894582666,1.6620489079019347,1.5747181176783935,1.7009997847139071,1.8425970475651101,1.7261318853944831,1.809621952677719,1.9818028378135555,1.9604336516445853,2.059104403172026,2.0755850791590422,1.9669723756372113,2.032850826938925,2.172331008328737,2.665400195593444,2.4028408200926874,2.43022693427565,2.057782995991748,2.0111119031288864,1.846981887207987,1.975484085342025,2.112312592516533,1.8332290143587757,1.8795608356212847,2.0728524347188384,2.0845751988023715,1.8832100132883396,1.898054006750699,2.1334035787634553,2.008607640896466,1.8417329492018708,1.7388509513092245,1.6518658103274242,1.6897873061505284,1.686682569193031,1.6602484343367967,1.8687770307449578,1.5633088851103292,1.5869027679949388,1.6759686648406686,1.5670488223873194,1.504877630602746,1.5700866844997887,1.633497506329251,1.5968745474043484,1.5892431046339346,1.73349929925388,1.7898355963461672,1.8818096076565942,1.8228613888009941,1.8859161373526923,1.891941495225592,1.8722212610351099,1.7617425087414993,1.8995927970442328,1.9492014168482414,1.8173990923276353,1.8521988414394568,2.0083808330556274,1.973309008226751,1.8126292555963592,2.0334713675383145,2.226322189698625,1.9215189566713329,1.9090339434526316,2.140923777691307,2.2269459390003017,2.0865503508696004,1.9022699405804646,2.2065288782288364,2.0253975097584274,2.1131735575915918,1.8257827201797665,1.7339126534299447,1.6384512470544002,1.6553814906452735,1.5959105892706251,1.7176658272522132,1.671836975434055,1.6678082370501233,1.3684638025139504,1.4585074071973643,1.1518030169053954,1.3947953793703014,1.372400328848254,1.4127062610449732,1.5478462645895152,1.452180509044914,1.3575619391631542,1.343369514982593,1.5779692617930605,1.2673009728415905,1.453009402409763,1.3343911496181018,1.3672599042179865,1.6218164264663704,2.075929227995904],[1.1392256887665193,1.0772817464232733,1.237704839266773,0.9701356504868288,1.1263309727743631,1.0508771772521324,0.9980830330948974,1.0587883479737619,0.9087524012165868,0.793479712911916,0.7778208914162199,0.8879429330578357,0.8172596014391712,0.7429415509161752,0.790657990517191,0.8137784206089085,0.7680024842449679,0.7717437368387291,0.8063733571659898,0.8562654052151223,0.9165424479902281,1.0970476320605669,1.101800550433628,1.226012969107396,1.1357082628255093,0.9436905694696675,0.8694682521004581,0.8432582731001496,0.8662944011003977,0.8841175461349817,0.780417537884013,0.9190430238234825,0.9458722709517705,0.892969736539981,0.9207002367468918,0.8618298150374144,0.9570779546693743,0.9556638585574195,0.9575179052329846,1.1487521898814432,0.9984709842760676,0.9308814522667876,0.9838819125759195,1.4746122690648034,2.2859625602213134,2.8132864121161756,3.80793109603531,2.355861755042837,1.9039870143027067,2.946831170829626,2.4951109699501592,2.476525669786755,2.2640715833707805,2.744711052168144,3.763403308590414,1.5871143608265175,1.3051397391601856,2.3764869223613396,2.0960964795532306,1.820453094223146,1.2843161448759037,0.9963648190325741,0.8988117194622535,0.9729548992659829,0.9631924006703094,0.8943410774715799,0.9752905090735372,0.7788433704776576,0.8216420953423093,0.8447925662089631,1.0132664747288773,1.2799645164900002,0.909155896300091,1.006584092264793,0.8320240957410069,1.151403507538195,0.827726763129555,0.8086792260415975,0.9076947147215317,0.9550143248731773,1.0180331638200673,1.2609268942282983,1.2828708830226068,1.2447037187904313,1.2045789454796076,1.0787302699797927,0.964122161831052,1.024530514226375,0.8909264913056923,0.9142507204469652,0.7838107601701583,0.8550989026426079,0.7852325796555087,0.7844489186985064,0.7914840025776299,0.8023991284042237,0.8569096682303537,0.8929641851335508,0.9543610501630418,1.1421155228538213,1.0558541929048992,1.309015113291487,1.1691571153685254,1.3315821057168502,1.4785132273220614,1.4020985981309948,1.5813659005287528,1.624819484654587,1.55332388263738,1.4982479643242845,1.395224589070016,1.2912945253082595,1.110745644353649,1.067997763283142,0.8321310139195974,0.8402166221839237,0.8530262587425537,0.8381845297968141,0.8692556821305861,0.7342146207070254,0.7619291384644737,0.7511308659909819,0.7362701899520001,0.7496084616712354,0.8360164761071635,0.9882505275344209,1.3029043523836386,1.3431563282374943,1.5151015493105557,1.5196701460052553,1.6534283880165908,1.7743289172676808,1.7226678304381784,1.6272679208045584,1.5373314404659728,1.4805812803568872,1.625607120295165,1.1740541916336826,0.9775390109057682,1.0155576344136081,0.9300664592954231,1.0803739975480666,0.8549351755245355,0.8723660878578454,0.9245296730461442,0.9157244996265563,0.9290079611764388,0.9942554103236749,1.0957136038051558,1.0328444420512126,1.2088159268473693,1.100658906683291,1.2891574766030296,1.4961111672588117,1.3068651068288173,1.1351863180502295,1.0544673774972464,1.20375551025584,1.0858789634574642,1.2498839339316052,1.189062657986152,1.0755841292644004,1.0639467308095032,1.1321126527505216,1.3584861854915606,1.4623958042154184,1.544775455487923,1.9310134503509448,1.9419873320983114,1.5445445208939943,1.4682677977699297,1.2820328226215632,1.3207078390606208,1.2953286891541391,1.226797875431645,1.2573552360365692,1.1296347151866188,1.285685541757311,1.2261050272775529,1.3579585134396084,1.5790808389782718,1.4067242227918397,1.5516450693012922,1.607762409836426,1.509235490019636,1.498271605139167,1.346707345184597,1.5790825325207456,1.9204463376292769,1.8404364413602263,2.1864509551176803,2.1640760510994896,2.0341948668809287,2.044771449592866,2.0115943502559634,2.1233206502809403,1.9215063103284544,1.932729528913228,1.8946186456540939,1.7502857356305468,1.845227753516759,1.6941618325039618,1.5994157293833744,1.756606315793107,1.7918591330382416,1.6234126275630887,1.6079793703255483,1.7704200300331925,1.731945351346191,1.5818835665281914,1.7017621907362368,1.8290153165830623,1.6914170130762467,1.7303506433337887,1.9397912068254584,1.9440167805412396,2.0062373329949597,2.0627913366401596,1.99174036332049,2.054332453564924,2.250686581948949,2.8069778899963063,2.4612170173498926,2.478609846463243,2.221928941753665,2.2225056017554516,2.098171448178596,2.2637916792629746,2.344354832197126,2.0996295110863294,2.207098470901926,2.4044538083326437,2.385222987897956,2.2199417666257877,2.24450174832747,2.4501570698952997,2.322026678317509,2.1467464501650833,2.033510019266109,1.949695279795564,1.9947300022980423,1.9555631528410802,1.94100102657311,2.0777416324909166,1.7876249906848083,1.8078448101241167,1.866540047807992,1.7349772452435686,1.6364253720084332,1.7108854111405543,1.727110734216974,1.6431842849171976,1.6466944937220913,1.7892245918579797,1.7890102749909562,1.8505465508748893,1.8100722225369608,1.8857603314704245,1.9146124591513998,1.9452255706724528,1.8961041122500897,2.062970731586435,2.044293691122019,1.9289959550124878,2.0343940804058054,2.151312897461626,2.091717065677173,2.007883498626176,2.2595955801457404,2.3927188407989317,2.0894037428830248,2.1409768922621057,2.348953389626051,2.415411220465885,2.2653179562201817,2.0476263313384386,2.3301832706779373,2.1052786597405433,2.086356700749469,1.8342335513664862,1.7835417052533364,1.6546745512490397,1.6918026386212426,1.6562125486814745,1.7924461416566744,1.82985170920433,1.8234563311325804,1.5354165593984896,1.6500551694332941,1.318951556267855,1.4588787261327552,1.4520154296226162,1.5148986828766071,1.496102635693312,1.456713529822347,1.378673203909426,1.321613226267924,1.526442866436116,1.2232411036432305,1.430460510050122,1.2832778570677612,1.331235852308598,1.4308714414209633,1.8935462213452068],[0.9091891627189079,0.8874871848266335,1.045591576220937,0.8463930007930104,0.9593655502283976,0.9206632643891451,0.9005972792549103,0.9387283082714327,0.8402474684956875,0.7844372256824134,0.7745843689388349,0.8667670485782515,0.8214715156515292,0.7736176747072634,0.8175817309343721,0.8258969901273162,0.8288919237168707,0.8370431735985151,0.8463127561812338,0.8834328782682371,0.9328635448307389,1.0759175522752225,1.1149846069815772,1.2189311854386147,1.1374317337935187,0.9606803146913883,0.8828864036197706,0.8747504004171572,0.9141743003472489,0.870313567450342,0.8128136403134741,0.9000238563192384,0.9385340705427327,0.8886712084294335,0.9085582170002909,0.8593627981412728,0.9293997651195289,0.9393373733537957,0.9146307199529446,1.0688003086599598,0.9117154157892932,0.8647136461222649,0.8761028088895659,1.297594037567156,2.068353990625998,2.6092659710667703,3.58631789719612,2.1374394345995236,1.7323527714309168,2.7456165032601274,2.2893696185159524,2.3227703955342904,2.0693185752234635,2.570320606889505,3.6370229476298537,1.4264254613867027,1.1500656468969883,2.2601390549252414,1.9851100106158637,1.7275433723706992,1.188202436087962,0.9768664387796485,0.9115230288397366,1.0170962971047608,0.943064499643333,0.9028213566585792,0.9874404573807918,0.8620847730812304,0.925867407910349,0.902866301027075,1.1314632433946985,1.3781324028953124,0.9978291553832388,1.0910461099034927,0.9207668091941563,1.153577361335829,0.8762570943779416,0.8510657306595371,0.9044593892022661,0.9089869718092937,0.9923603012542558,1.2265056909816092,1.1869024698752688,1.1474742148083468,1.1362598731943692,1.0058853506460645,0.9200958467880073,0.9699282990965801,0.8883759205477973,0.9100750263406762,0.8224328348165816,0.8790733021405667,0.837617544105758,0.808885816357958,0.8168755365912475,0.8200203356617958,0.8734458618100837,0.882940987660594,0.9058763532086367,1.037797816150625,0.9856718073874109,1.1963326835988102,1.064232596698721,1.1662641515457017,1.2864870968819702,1.2166169147592303,1.349453422678088,1.3781103686890943,1.3034851349989796,1.2696414815170365,1.1974856289241844,1.1496056051666073,1.0129731444568575,1.0125834403843335,0.840936267322067,0.8528367454800637,0.8711793228125594,0.8666190483644083,0.9150704623631789,0.7842065203313336,0.818074262492571,0.8023908117097296,0.7831347903973147,0.7912289252638326,0.8276034389498227,0.9332804615346121,1.159806047856245,1.218894300356521,1.3550208580805396,1.3352318992231917,1.443664273738146,1.513377320713759,1.4985513123132608,1.4153079376535496,1.3642921286924266,1.3625036420212047,1.50986720047964,1.08637353969022,0.9423308469424762,0.9515795914301358,0.9281046912033981,1.110199389388278,0.8791224623232512,0.8834350912298172,0.9151105494096746,0.8979038966748977,0.9050071916618406,0.9589570163883249,1.0137990628726006,0.9632157356327582,1.0809422795345567,0.9812879751530849,1.1103318264712112,1.3985160652148154,1.220548401958531,1.0328131985237132,0.9740149669147132,1.0739958469430047,1.0051717587906932,1.1267762306266325,1.083248407001522,1.0081420876396312,1.002263502442063,1.0568814113437848,1.233161270103366,1.38569949629348,1.387481357279665,1.7966542628598645,1.8128767719829786,1.4090581265812339,1.328466953635971,1.165911066725105,1.1869300854549087,1.1640017768816573,1.108800982897169,1.121233529092609,1.0602201411972016,1.1666529187655652,1.1113805272117832,1.1945784350936737,1.410573841570313,1.2291256609207286,1.3565408964764507,1.4226742555524945,1.3452918597590608,1.3439956142704947,1.2234935080261382,1.4489833105097265,1.7538005304513735,1.637700548122168,2.0273805397562388,2.074971597189186,1.8830699930733747,1.8801319101577623,1.7752497155643507,1.8552243199327632,1.6754653195760707,1.6321162246065097,1.5610478980260896,1.4616012767803153,1.4609880028516815,1.3394515153031965,1.3020663395849632,1.3882306122892603,1.3851989510138607,1.2721408259487665,1.273116732387725,1.3666029966564315,1.3506615196769916,1.2753017083700973,1.3778063631937882,1.4815187158160636,1.4120511647745482,1.4993403960781757,1.6831283264806722,1.6552194547749854,1.6695476430094354,1.6247690522831832,1.539864659467493,1.5974078780240017,1.7411672012248602,2.257647943480278,1.9297366601325294,1.982403948463515,1.7077721540728639,1.679914388453535,1.6072224564993256,1.732042201280908,1.8074834829651492,1.5931411523409065,1.7188390518223322,1.8747931653106387,1.866146742622875,1.7419409520666385,1.7877542143654181,1.9822313839715244,1.8521230555153307,1.7860820294839566,1.6209259547851211,1.582116551161571,1.58603566301571,1.516922639566338,1.5313665637904357,1.6108033049365165,1.4238752525547151,1.4372772915676033,1.4618286703156704,1.3438440088701746,1.3137044052451579,1.3297044772294189,1.340898789361273,1.2797611388219152,1.2878840992818312,1.4024031147776321,1.407603861629976,1.520504857138916,1.425330588221369,1.4908560894488476,1.4888266957842946,1.4850921231369851,1.4522594845700396,1.5679200752372258,1.544384928124012,1.4715262558727922,1.5496038364192686,1.6361012560092065,1.6007701502128542,1.5304918302367296,1.7278221873546238,1.8589219949850946,1.5874655448004387,1.66041666891143,1.829290456738797,1.9515902598914858,1.7880381812868846,1.5794632889914806,1.8263665816339278,1.6514977030498998,1.663056293862349,1.488294457082267,1.4076594042599075,1.364018415231176,1.441906351879159,1.3556000865586437,1.4513197433615204,1.5003427808060668,1.4428948493677067,1.2798344896042162,1.3927824730545395,1.1267226716081564,1.228678741907061,1.2020425835378958,1.2099637988336212,1.2440931176707706,1.258741759574514,1.1105246826539534,1.081831346125266,1.3878225107655746,1.0465334236773134,1.276673631662599,1.0873263475415216,1.2628685629019418,1.3230721915675763,1.7923979064508302],[1.2644484563651814,1.2685028940968694,1.416602752128918,1.2907955512512723,1.3226111218729877,1.3560959988243633,1.3424617114839952,1.377663134645356,1.283392136465799,1.1985506632257765,1.1952983591032211,1.2442696825175719,1.2103230752589498,1.1526314007846525,1.1825198413418976,1.2059287688870812,1.1534377992197125,1.1102793062585439,1.0605808503347536,1.1209131970970978,1.0934276940020085,1.173262872650452,1.2300715008364582,1.2872471699090344,1.254422921224024,1.1223163108275978,1.081269274844718,1.1120751506558055,1.1755854817037745,1.204711176570597,1.1526083790600417,1.272820623537534,1.3120027350032408,1.2315811473136227,1.228337963653547,1.1448129748775797,1.24868628956039,1.165471623561068,1.1259581357889272,1.1904474939611045,1.0784917470497977,1.0101068864489626,0.9869437616106277,1.2855382189248756,2.063496999013172,2.645616900898432,3.4811263610039265,1.968360740870894,1.6861280427936922,2.5757706807590335,2.0509027749551505,2.1369475752463227,1.8543059959482537,2.313967445600835,3.4051283750743275,1.3914730525560433,1.2442682167374721,2.127970214974626,1.8979890455905548,1.6741313206178177,1.2517277140734693,1.0961646224230284,1.1559039385815146,1.122509469044707,1.0815054353533182,1.1052943092302387,1.1778996263944597,1.105205427066945,1.1377813011873568,1.158604022795612,1.2782387714954653,1.4502523320758656,1.220219478204127,1.2428064899909448,1.1904378043978032,1.4422612180171288,1.1418150489915866,1.1368551797168718,1.1709785289824859,1.1607624474451965,1.246887079323454,1.399884650163841,1.421582614252546,1.3023033191636164,1.33327845792012,1.2556266146607042,1.1777177409488002,1.2525800544813437,1.1632637670716919,1.2426704525863064,1.1463048056581375,1.2039740418250726,1.1656244293657916,1.1859569499442397,1.1956849594692756,1.1980361048741617,1.265996002175943,1.271986781587133,1.3114101247507233,1.4358528975368325,1.3940790674183905,1.5139610216609052,1.4121609879066688,1.4886643840592142,1.5000814599076608,1.4854214400202677,1.5666423692294675,1.5732675687356679,1.5692481191611127,1.5719553445697598,1.5146785322623555,1.4819088369575724,1.396094776635911,1.3326837349550396,1.173033273769383,1.1572951736080626,1.138092343659888,1.032718945379569,1.0686212106339954,1.0422530305102649,1.0479653137521923,1.0813126219259497,1.0496766227639382,1.1150837916114447,1.2058145159586358,1.2669441664106824,1.4748165466988663,1.5063065717756587,1.6370717018388008,1.5621515514281066,1.6234419354495941,1.6836140863196714,1.6189100609190712,1.5703104952752829,1.5211458215286866,1.5231861871095624,1.6396763865373,1.232370757177019,1.1624212399223308,1.097231073703604,1.0352559645886057,1.151419764517742,0.9972988807912698,1.0577433672654208,1.0990334753712647,1.1602755333468306,1.172317819193141,1.2862648034760837,1.357571036357022,1.3421068763099886,1.4646590321515538,1.4006453362841327,1.4476701063253181,1.6667156444096587,1.5836941035221093,1.426634378182423,1.3802675592518132,1.4612362369422391,1.3787761006363901,1.4532235421138187,1.3534649851768539,1.2592890346741492,1.1995268369986247,1.2259254386617189,1.3207741071607468,1.4085922760897447,1.451601829436038,1.8119205154673599,1.9133238542777402,1.5261496452220469,1.4602702359709439,1.273878167492657,1.3220406461686933,1.3261825895721528,1.3181006968980642,1.3693409068968152,1.3463736727752955,1.4355595074891945,1.3106563353354694,1.383285278026279,1.5297804116416238,1.4224687386274946,1.4591261059694232,1.5212003962919995,1.4463462951078718,1.415637457568777,1.2766210624171899,1.4272920102286293,1.7093515686539302,1.5494209429029693,1.9340600542643631,2.1499646793393317,1.8664334799348494,1.8904855592702658,1.7802929174129882,1.8643372659113862,1.7325031886267468,1.7096873491682814,1.696420457521323,1.6867577724119038,1.6407621139295383,1.586926384838889,1.5882421850057107,1.6273401690443132,1.6260515327230303,1.5912804134693526,1.606261441456896,1.6162751673211102,1.622418463283005,1.617147670339531,1.6620032365154254,1.7173720910528345,1.712824549690295,1.7953905241975698,1.8364208348788007,1.8130559444024912,1.7847267882527822,1.7281597212271973,1.7114416346397263,1.703476598802253,1.7536940074689407,2.156702149916671,1.9242482868762254,2.1382781488981046,1.7690738122638385,1.7387739760474992,1.717224729551683,1.7615501073368138,1.8028275177277284,1.6804521919679112,1.7760444525316632,1.8428148246280334,1.889714930491441,1.8030375404057362,1.7813900152899675,1.939378507665547,1.8438914330977145,1.8253605641577337,1.7246355269026854,1.7033111114471986,1.6940160080195528,1.6705060494497923,1.6718793022117457,1.853768149590603,1.6121623716142202,1.6455441074083372,1.6410828094137466,1.5917256416029293,1.5995574283612217,1.5958691316572107,1.6304358374929315,1.6332784103121418,1.6146654202954966,1.6533229866737404,1.7040637324122192,1.838470049138739,1.6838585062945075,1.6904481585256115,1.68569616287155,1.6743193341170388,1.637935785764189,1.6946383729990229,1.6700816430310694,1.6558407535829085,1.6758571894543612,1.7163765737792493,1.7035954276458771,1.6659633504228035,1.7645206040932728,1.877592059085097,1.7027369456809658,1.719207903700271,1.8146668945487898,1.9189703182525915,1.8160859806054845,1.7373909124116405,1.86241646541648,1.796334724670305,1.7614164585602705,1.6972511244479838,1.6805937961269848,1.7268061427361006,1.7669272459309935,1.7380063326058306,1.7841739844628468,1.78948746861556,1.7373845623742366,1.5603233723296648,1.6453711638342983,1.4022133080901267,1.6001621370518397,1.577726096270777,1.567577659613282,1.699314685602439,1.6706597200694073,1.5070951800842722,1.468931793623733,1.768226705154822,1.4354434768172757,1.5634576120804444,1.435415664949455,1.465341770015944,1.6228731594337256,2.113665468271012],[0.6404523248307962,0.6202715267075503,0.7688121710765772,0.6458113278300746,0.7125030421829828,0.7070925916884069,0.6984440535904827,0.7162151676377098,0.6700442025872281,0.6306724843390069,0.6405650643791984,0.6881922573631855,0.6306845338140135,0.636003831105166,0.6805812446152883,0.6639742139326763,0.6549991313631172,0.670745831081513,0.724658811899624,0.7415780823177379,0.8174305169327039,0.9866811720815676,1.0150450878962949,1.16333555125129,1.01434880569079,0.860967532010585,0.7307294096184467,0.7025934558719946,0.702217693604208,0.6640763368391283,0.6578313425380466,0.6840024142735591,0.7223284378708099,0.6944568813841961,0.6912989618292371,0.6561276875531445,0.70694125461198,0.7348166723423837,0.7013250777649552,0.8090919595044685,0.7700862290146879,0.7145306568296313,0.725447191424702,1.2042298305537533,2.1089252444899365,2.7006293947116093,3.599711426620629,2.05852795356518,1.6462415184702481,2.6807812376153315,2.1340453756638924,2.14296735988881,1.8854314662006668,2.415629693127585,3.4005700614052845,1.2215923770890218,0.9975435369484515,2.105567009628304,1.7890670741065573,1.589066662248139,1.0720080739933122,0.7994339782487292,0.7615273821987192,0.8729160933330357,0.8084666308425832,0.7660407007774531,0.9073167162610705,0.6975766304574947,0.80482860664476,0.7998441257556618,1.014984524051926,1.3047630629607965,0.9001438981994646,1.0037816148757637,0.7786334350370278,1.138678188988761,0.7016919344584283,0.6690415557526352,0.7278565451482071,0.7327786719493254,0.7377906431217505,0.9665317290756309,0.9359532285528336,0.8684907885283107,0.9153206397290296,0.7396245810816663,0.7165115729522938,0.7663675556135895,0.6928487619997423,0.7307852233745036,0.6660665089416155,0.8020443968271613,0.7449703622059572,0.6688128758392253,0.6715178658272334,0.7037771464720765,0.7677824757327136,0.6951576928491247,0.7036836453958275,0.8206537845620633,0.7592623017487861,0.8926152569415963,0.7916704585854594,0.884532919000964,0.9425720007041343,0.8921313092084546,0.9780271462210877,1.0564017873408464,0.9799540921550074,0.968709015321155,0.8957294500777965,0.8699334826582813,0.778979781329596,0.7968024984894136,0.6485761232545054,0.6914856461376443,0.7326804674142873,0.726160417664693,0.8132345741750737,0.665951276927989,0.7053425185195252,0.6793686008666743,0.6632884556889,0.6455629076319451,0.6647759307425746,0.7199820231866895,0.9697672096705883,0.9422726537248421,1.048295945616907,1.000733502291971,1.1142043418433911,1.1553844306628935,1.1549721236579096,1.065078635440055,1.0626574571949405,1.1037450509902356,1.253030801820065,0.8257114182688586,0.7791367532222252,0.7220446875619324,0.743928616080329,0.9298710347456848,0.696544113426728,0.6814235695575709,0.7068350280802698,0.6918302317872849,0.6980910987047607,0.7436487227689623,0.7702382288250852,0.7330014809451163,0.8364468908958688,0.7477171933989605,0.8792253396134799,1.2455760929521595,1.031401059776408,0.7682896272408695,0.7240064491622935,0.8099488883345618,0.7563081465832765,0.8539069898943854,0.8139113142978242,0.7631849350782021,0.7693840000390321,0.8002461986969251,0.9713484087612485,1.1425737506113611,1.1558151476681,1.6119052519284816,1.6715690922037387,1.2601554012278355,1.1110098061263227,0.9123929375107703,0.9034102323725367,0.8591163096471771,0.8056266127942668,0.8133971433162636,0.7727852511893534,0.8683278830340221,0.7990641803899875,0.8536353933350302,1.1563662149403533,0.898355200927703,1.0129472269354982,1.0917831773979563,1.0415208291309244,1.0592286348646094,0.9647552476169378,1.20469387847066,1.6130175757593377,1.3898671163278489,1.824160725068511,2.021276394468509,1.6627949128932455,1.6408834434226673,1.4538032818661437,1.5331737012044708,1.3625392636045122,1.2812159646715715,1.1972054457999648,1.1131117645103796,1.0520523375455988,0.9292860931052778,0.9279381997118018,0.9800680294614517,0.9582381629902307,0.8823133065585619,0.9071446064702825,0.9571882372019419,0.9716797660861546,0.9849788175460753,1.083582770965746,1.1778146609055102,1.179813682454497,1.3112988456551904,1.4819684926973042,1.4293729269444457,1.3945530717495063,1.2983846235269458,1.166899180737323,1.220153142890599,1.329525497845001,1.7686893515883133,1.5114514212082437,1.6802869088115409,1.251472681825802,1.1995541159102916,1.160053694907996,1.240306897513691,1.336230607025517,1.1389543014084396,1.2564634903104033,1.4174143858602164,1.432123946428626,1.3187892562793329,1.4006335123957836,1.611065020408322,1.4442333763825002,1.4926430268810051,1.2441391661606775,1.2113969826479,1.1637175663955546,1.0816027816518021,1.10908876334379,1.1786647868424296,1.0171277298457828,1.0419772813044375,1.0080707126821138,0.9235483428755518,0.9528716992160415,0.906994971682783,0.9475780793745706,0.957836552950362,0.9400499255582959,1.0109109761763841,1.0920871137797783,1.2779102689532864,1.1266088951562878,1.1645006339794397,1.1241274957419265,1.0695805533883622,1.0047114646144095,1.1016959418676993,1.1178331614262227,1.0439215195231988,1.0890629150145645,1.1857767631831027,1.1734278872009571,1.0989047546731654,1.2878395458721723,1.4659196560269248,1.1982606789709331,1.265417499981522,1.4171527606900054,1.6613978554431865,1.4472481336839575,1.2155350256432274,1.5196966930543492,1.391856970955522,1.3532275135668725,1.1853019414538029,1.0721924376404381,1.1118044050582288,1.1678535273894854,1.0289817848429113,1.136393332004307,1.1729186542902628,1.0918467534000753,0.9446630947600733,1.0510749916533466,0.8056800428228079,0.9296801482743238,0.8916873383568761,0.8551551483027736,1.0816456635539369,1.007428162487648,0.795547349219155,0.7956567701366439,1.200064135706508,0.7745132055082294,1.0154399798797253,0.768003359599114,1.1215766210658118,1.2948045043082488,1.794853359055202],[0.7507984993423866,0.6970322319404607,0.7387157268248145,0.6697840089074835,0.6238126790647667,0.7415766598663324,0.7534892354385859,0.7555524573794429,0.7795060028681009,0.7510269223569273,0.7847755596286883,0.822561030439205,0.74350780953977,0.7919238989504317,0.8374408043613103,0.7802608122535667,0.743150166286999,0.7900896054822666,0.8563454983627052,0.8356832562241266,0.9441132359391059,1.1237863746029328,1.0949283898054711,1.2863765858753506,1.0182905952734687,0.9485298956764255,0.7917532113414129,0.7370821386348204,0.7396893806848951,0.7243878010457254,0.7907734459670729,0.7508773514437943,0.8054478922977395,0.7979801611301501,0.7720893159475106,0.7445305413067663,0.7492282824032098,0.738425516234093,0.7039281302963355,0.7598933369985978,0.8317358912343038,0.7958827409041103,0.7898094970389309,1.233829987810025,2.282593433950003,2.8671689146334742,3.705628776653219,2.0869898325238916,1.610477161704583,2.6813463729691134,2.0582976239966837,2.0809125238931703,1.8198539539453846,2.3399338293461596,3.165178732761847,1.2131965503125692,1.0108342415398688,1.9925425166950488,1.6669977337681727,1.583194788029024,1.0754500990087141,0.8549047201135952,0.8431192084431558,1.031569094146988,0.8772247880163168,0.8794643515809609,1.0445299607657224,0.8088512637719477,0.9578812901326412,0.9020994767316511,1.1253450507017462,1.395299684804652,1.026544379261615,1.1514128449818957,0.9060325979152819,1.3661597652688628,0.8118595465329618,0.7819794392699636,0.8028547949325315,0.7974965350032529,0.7343967512676082,0.8971690811119303,0.9547899494402771,0.837273942304871,0.9305565381984742,0.7111953835637852,0.750593187559833,0.7977466538431555,0.7641774146515198,0.8208485460352231,0.8014035880912416,0.9732700194569567,0.9111012856025135,0.8256303017889665,0.8206419850917259,0.8607934027040859,0.9280595221717975,0.7917186611174554,0.7874975271563779,0.8936155524556733,0.7798129086251242,0.8851781960587849,0.7408291707674932,0.8469736169273389,0.8479741656338319,0.8434162556078896,0.8737317359072626,0.9161772697122837,0.8726642421337663,0.8539702176547748,0.7933182630989171,0.811105820432213,0.7607491077132735,0.7962772543418292,0.7124172715575345,0.7333875314702755,0.7880205816014504,0.7956718987896602,0.9017177062764069,0.816533977555283,0.8587536214985907,0.8167673816212003,0.7831167001048056,0.7366343434341431,0.7561344835078534,0.7072214374220175,0.8327119171632558,0.8671589394500565,0.9621022684485824,0.8950126882015023,0.9962176375767532,1.0257498202319812,0.9899952596361727,0.9123159802978855,0.9152644147720664,1.0041382081892851,1.1457703185336192,0.7271025206306222,0.909540312889907,0.664421402743998,0.7560531537331954,0.9720958329515653,0.7380593487341334,0.6901377577397683,0.6991122566446756,0.6816645684391254,0.6856732482002099,0.7313436692804443,0.7358939200329783,0.7521579882865711,0.8093618345403374,0.8008215993440579,0.8736685702490109,1.4131788349904995,1.1674612164634697,0.8074816169056837,0.7630858539944448,0.7961949220532067,0.7382143629921722,0.7862119114115198,0.7260803440032133,0.7162820529774337,0.7079590907986341,0.722981983582468,0.8248625594051101,1.0459585868644363,1.0368455276505844,1.4791156085359,1.5577373565590744,1.1961907338742106,1.0090398951698918,0.8283043444490783,0.8058394451633688,0.7342917601100982,0.6993539159670179,0.7123081853772134,0.718575351738624,0.805749059424378,0.7156805384718973,0.7197132332775478,0.9236388794594438,0.7795382978296016,0.8948770743867154,0.9420126154931792,0.8985036620831274,0.9453984240052098,0.8951020201331559,1.1555349498299619,1.6058972940421938,1.4022164349306205,1.8517081097503088,2.1310348590246697,1.6235724460666003,1.5694040242448632,1.3087772757749343,1.3440521972746196,1.2185325514340273,1.1587243114926948,1.080735073023055,1.0392068016735736,0.9417486699938451,0.8400632809578197,0.8542132706506546,0.9095709398241146,0.8985584486364245,0.8412314107470548,0.8836996044106235,0.9342803168291509,0.9704989592511534,0.9846239653356142,1.0771397371155165,1.1928644344329522,1.2237065564443068,1.3223832471770667,1.455027410492545,1.3872625305066264,1.4140056047869416,1.3085700890781984,1.178511054675615,1.22011426705635,1.2892512263760676,1.7310932514100559,1.5100906393348261,1.7790546513348748,1.1945959532674348,1.1103172907944565,1.051311779145336,1.1071674942971081,1.2203820378860517,1.0241687078297037,1.1236031668716129,1.3016410508318792,1.3339906898633642,1.2081857820089525,1.29638285822466,1.5198791540930365,1.3583147616430042,1.4144003495562623,1.1363495858745827,1.0598021569673335,1.0212418158496726,0.9700014792445237,1.0101416538190184,1.0945770971882234,0.9412277666012765,0.9539774324859841,0.9288787323849635,0.9019710216132503,0.940937251254153,0.8691094277025062,0.9621490010645288,1.018656378583982,0.9694147634683862,1.0514916457124488,1.1888795070282063,1.361427700131972,1.1903718123244582,1.2123498014345064,1.1497451349510468,1.0774828169235322,0.9454206181804751,1.030245939084025,1.0809838369989562,1.011228059279352,1.0196398787977754,1.131645078910897,1.128933844355438,1.041618852863435,1.2006508676998813,1.40072438539797,1.1677978026348934,1.2107862702553471,1.3672368254678982,1.6066870085960132,1.410791077178101,1.2335733530091264,1.4889321847522825,1.4285254491285442,1.40970086107148,1.1859712831672202,1.0691211907071507,1.0666933603771354,1.0691521539416535,1.069970910158275,1.2183093477263705,1.2248494788235922,1.1152440419555436,0.8616779739594059,0.9607875130154403,0.6817548818012473,0.8622154221374646,0.8483339038153819,0.8174701379901054,1.2225307941205987,0.9824561376903054,0.7867275043144101,0.8211606350691366,1.1983283197081216,0.7647930530071798,1.0003200934915308,0.7998732396239151,1.0498322776776372,1.447576777183144,1.9339087770496353],[0.7646115440910425,0.7036072430370592,0.7510306163682078,0.7044239690606173,0.6505763539418705,0.7599801770146807,0.7504318117376969,0.7528154596157353,0.7989236927579478,0.7823972178755754,0.8297040774666237,0.8536511146926985,0.7839083390354149,0.8468117708834257,0.9089268025417221,0.8247613296939906,0.8121331022081231,0.8846790203665207,0.99919518926959,0.9544119745739394,1.0916122161295059,1.2738651728942039,1.2264748523938933,1.4517548711927042,1.1194573119859061,1.0649304530114665,0.9041384699143526,0.8415844542140742,0.8187455368626669,0.7813575695508151,0.8674997200932542,0.7748816600058251,0.8466624481997674,0.8720413664392799,0.8207444549290986,0.8297330404477704,0.7780247671790839,0.805447619893123,0.7854353197896959,0.8292676022642084,0.938326401891221,0.9347023087927143,0.9523151564150041,1.4388970741468712,2.4757104385383153,3.026343798458338,3.936914537095187,2.3519333077386233,1.7834554111240373,2.9150322446015484,2.339523872807864,2.2926716771600137,2.0709617279727666,2.5913612289612113,3.2694825570111403,1.3368000987431605,1.120748042818823,2.1484109772667517,1.772154058806984,1.7383905756051818,1.223215734406426,0.9791323417934951,0.9663430324284342,1.1842091439813751,1.0201039429927383,1.0045174905071135,1.1912244255539668,0.935938639964517,1.0654282273508877,1.026347631594009,1.2391424282097911,1.5447697392337476,1.1569440453646727,1.305243492469258,1.007895854724797,1.4382697352398242,0.9234377639968477,0.8889943556334458,0.9036461671288937,0.903227391007261,0.7873538329689515,0.9122824267340458,0.9422609548677252,0.8876413361583897,0.956797143743272,0.7410433273758852,0.8122369876916818,0.8618663302762479,0.8515930856134436,0.8916981158917762,0.8870838963877662,1.081394059020129,1.025554610509798,0.9056874079268906,0.8916827913876054,0.949864617264074,1.0063782996439588,0.8462371973102851,0.8146639586194643,0.8813698148271133,0.7868782927145809,0.8518135756400599,0.7335268987949359,0.815928686959986,0.7869541841012984,0.794958064526346,0.8316681673931624,0.9111538922429803,0.843560614638383,0.8191146701722553,0.7482675193213629,0.766949228834481,0.7477735304459825,0.7899657343634595,0.7585219588735023,0.7937387159123191,0.8704504094370892,0.8978393706130131,1.023378128854972,0.9295170925062227,0.9817122017832589,0.9153375712562742,0.8895361155529233,0.7956830367928142,0.7797588704806737,0.7118453200708313,0.8501934421808148,0.8221093251651627,0.8956759766436707,0.8399711682591093,0.9539839747051886,0.975114724052572,0.9853695640791869,0.8900138596680714,0.9103284366885168,0.9869840692880906,1.1484186174884077,0.7446618468257482,0.8749480230357528,0.7393021176367642,0.8003360451002594,1.0697098542449825,0.8575797709219699,0.7746934969366358,0.778114436677154,0.7545088680991904,0.7490105516589858,0.756411960327763,0.7371694467392982,0.7560836149093306,0.7938677031344574,0.793018890871871,0.866645405252773,1.39126175959178,1.151048369943524,0.796919863174959,0.7602984608727117,0.7772798521489634,0.7283603255045983,0.7628486286037328,0.7265400669285272,0.73646288852849,0.7452523702857379,0.7645599513794442,0.8635584266126178,1.0666673737160313,1.0737836148396547,1.5218706881960185,1.5847251604840467,1.1974779328079486,1.0153411183704164,0.8485918647234152,0.8164536873715982,0.7520620745088489,0.708719352362436,0.7043457156934736,0.7384893306638431,0.7904537197601121,0.7251241187976385,0.7115132772007795,0.9733780904900194,0.7612814966043793,0.893466673959683,0.9571446017773688,0.9152269030437808,0.9701481388364986,0.9474356730425159,1.2113607709959064,1.6825714560599159,1.4933237134316033,1.9282671242462237,2.1654298833252854,1.685004502186189,1.630889805073144,1.3611100655223631,1.3975479390265448,1.220631684019121,1.1435947155613626,1.041986180990544,0.9777347225914553,0.8987724788066996,0.7899257491598869,0.7993051601310898,0.8582996900909796,0.8559777064594999,0.7975895365976933,0.8291966732765291,0.9097803491122172,0.9633416086721378,0.9800127598775124,1.0895512922147321,1.2264111276307215,1.2522968322733061,1.35086447658398,1.5204045861156346,1.4282819404089624,1.4827420702241407,1.3591104143484765,1.206774097816652,1.274050472360421,1.3689232971130194,1.8179382740130319,1.5708129289214978,1.7242937231365636,1.2040109777033896,1.1214130729757326,1.0430305035099972,1.1257248252254435,1.2558388150167574,1.0245056141643136,1.1084963883625758,1.3227003595030682,1.3463028952073957,1.1852303571730924,1.2975022722480187,1.5403731052762577,1.3519789227357637,1.391075990589755,1.0942738023258634,1.0410383126964113,0.9940881193886334,0.9286315011232452,0.958409166205391,1.0602231969178895,0.8878667513177007,0.9036019001913673,0.9130316781306486,0.8540414354418382,0.8927595793110153,0.8288145619016538,0.9424108015970136,0.9958047269542128,0.9573223710231724,1.0582448090761616,1.1914323077722297,1.3716149778633238,1.2127753517637292,1.2480499140645651,1.1783987301474685,1.0905674364851192,0.9451291494885136,1.0517558593183618,1.1157628715714583,1.0173800034600418,1.0152145105053088,1.1614762085224368,1.1584618229319394,1.0237864940194934,1.2353844084108345,1.480371319493049,1.1737154265941325,1.2008159660318898,1.3999925074942183,1.6429409790647673,1.4238763794829286,1.208858523562277,1.5506138872397128,1.4333175045461894,1.450354831103574,1.1918560334321757,1.053498630700262,1.059514949930494,1.058216264214449,0.9799666277693778,1.1218064413613886,1.0997799491180051,1.0219758901233669,0.7920356236421721,0.9018249888013735,0.6423003763615401,0.8288182977388651,0.8068311455853292,0.7822767939059079,1.1656591649851007,0.9409058594584025,0.771470421221953,0.8369730231512144,1.2029070972563056,0.796517123018039,1.040193341095536,0.8370212566368636,1.145407732927657,1.5263865732646198,1.9829963020580677],[0.6650923539992977,0.6419250580849173,0.7182239720533955,0.6931868680875023,0.6765799112734854,0.7449997340158188,0.7679985521034135,0.7703308023925529,0.8346141545209403,0.8654841707437724,0.9189217661927839,0.9164771679244104,0.8850719157303336,0.9542531102141454,1.0312519521227366,0.9451253088153044,0.944222172631208,1.0244978185492668,1.1522716429645887,1.1071390088194208,1.2488340639545021,1.4317712328699541,1.357559590091277,1.6043179102103764,1.2458596905434156,1.1985848273590205,1.053022985301287,0.9835269361774688,0.9577908186852493,0.9094559276589533,1.0182869387612914,0.8894076470263105,0.942573545318372,0.9989245993758895,0.9519268051287934,0.9856482753867668,0.9146927195789355,0.9564565409929313,0.9497454250441424,0.9846893407584139,1.1067287575175453,1.1234830420776556,1.1725387055595895,1.698324770570896,2.7076447352244717,3.2223336120702712,4.180685921636314,2.649882098806445,2.007272569512335,3.175444144724094,2.661953833563572,2.5636102729101933,2.3989230781895845,2.9167827470717844,3.372549132494119,1.534610957833521,1.3297434541057855,2.3625380584887288,1.9247812881479265,1.921750761180826,1.426105711057814,1.1746507994133135,1.1382464843180014,1.3415404009903245,1.2047887615660036,1.1709133599266603,1.3393641756890318,1.0953511608068984,1.1867797900512502,1.163019652233552,1.3339995565383467,1.6626004008731037,1.2787713648773316,1.4294283799860594,1.1447982975591227,1.5449621159018685,1.0767668640435648,1.0595983681698986,1.077761632092984,1.0879587987946573,0.9366642537173436,1.021002966431549,1.0454612175671056,1.042959192507403,1.075108210707914,0.8805807476625132,0.9686846048364793,1.0003705244229637,1.0121398882858768,1.0386114183633022,1.049590352312736,1.2399946033210274,1.2191181699991145,1.057149712960385,1.0231653656835922,1.093417043696986,1.129576008458034,0.9489344300788617,0.896183207172134,0.9031864887273234,0.8413448064464923,0.8406744036832431,0.7966426162521065,0.8317885184757089,0.7871604952479521,0.81442061897588,0.8263517424428449,0.957482828938052,0.8579922325566983,0.8147158486207264,0.7361718208656747,0.768206411478953,0.7662198984936365,0.8232339099664356,0.861254935590189,0.9125843993549827,0.9923310457484216,1.0343086909640826,1.1524622310417059,1.0774204408971397,1.1421617873497247,1.0576510954375584,1.0251404525761831,0.8974037030059082,0.8236900076339686,0.7676106180466419,0.8235600997599338,0.8000638142581594,0.8552382234818763,0.8407385623092757,0.9339658811688566,0.9506851665753949,1.001432625241153,0.9030875174406181,0.9434452153433058,1.000079437264057,1.163409749974264,0.8432858034908872,0.9330481702082418,0.9342155601772477,0.9343550690787763,1.1732932712211679,1.0133922473011705,0.9188892897192867,0.9237796904989602,0.8962741056581338,0.8797710025286468,0.8342960553946457,0.7952432629337186,0.7848263355350097,0.7938932112012227,0.7989026596178633,0.8565557842551252,1.3546019338498572,1.1369531534749029,0.8068929895059049,0.7967847289107765,0.7821773958789667,0.7969174197971854,0.7952237343088716,0.8197266927924445,0.8463736550316361,0.8725112124196507,0.9071759004164277,0.9790500796309116,1.1735487884337672,1.1419244209480441,1.5535474072443831,1.5740049608395332,1.2252996196953578,1.0576866481221023,0.9431951134565698,0.9089429733702646,0.8606899074271054,0.832918551823269,0.7989643111524761,0.8385831425196069,0.8556125501750084,0.8572201456483615,0.8175438618812204,1.085577577525855,0.8198922653282873,0.9521610009287699,1.0137869287781085,0.9985163568127234,1.0636640842861713,1.069971473140605,1.3355438523643677,1.7709974562678434,1.6341750382192424,2.063433126841111,2.3009011720457897,1.779498081428177,1.6958613920453436,1.4244407875694685,1.4498993123403074,1.222513070560216,1.1298108105807423,0.9988904116136704,0.9421392359906072,0.8390220235583438,0.7270075704560546,0.7484740365151354,0.7680889598834562,0.7494485307622792,0.7092589230625257,0.7373141319028322,0.7955448400755867,0.8401348057547984,0.9057906291797752,1.01051016811725,1.1274202822798605,1.1689572480622543,1.2973207222439065,1.4596265677767482,1.3856197196919782,1.3668346605081574,1.2782084363076696,1.096759883266881,1.1559585514494122,1.2529933516802836,1.6984865329784724,1.4575929497114246,1.6207517036948917,1.121046775766279,1.0294206659981624,0.9464023773863331,1.0681499639310073,1.1911704009137989,0.9543258418552023,1.0492935290063126,1.2940704259664104,1.2708345180890117,1.1359403976911815,1.3204128133138495,1.5097383648015543,1.3305517968444174,1.3910679009494942,1.0409911713377709,1.0137820683298622,0.9659237767842737,0.85962755611432,0.8950482491268643,0.9512615522493146,0.8340544143171874,0.8254047480710599,0.8060147771118462,0.7694056432730406,0.8346813295923246,0.718909215905302,0.8233367149033307,0.9055264831540435,0.8489425885310437,0.9172688743469963,1.06169113091854,1.2629832074321914,1.0942468292510532,1.1121117166769385,1.0405875779467588,0.9341527394379198,0.8080853284966383,0.9156472678249477,0.9717411933615154,0.8879416090972132,0.9008074654444492,1.047163615659108,1.044339156841791,0.9315602957447594,1.1424167773714125,1.3859725826603395,1.0861852638656906,1.138245868668102,1.3511788787267316,1.6053689152134816,1.3827561719061598,1.1343073556513807,1.512585104617169,1.3963415197781668,1.371136337235294,1.1532376393704233,0.9787182102133892,1.005080228632123,1.051618938154697,0.8701060830857223,0.9943442156104718,0.9801090040730199,0.9271031216771326,0.7400114125236017,0.8512568458046448,0.6508392761082147,0.7810543597087438,0.7726625021481266,0.7087850767877947,1.1289827746568415,0.8866663635249318,0.7093749027673271,0.7800586296223149,1.1763696440101923,0.749316041709973,1.0131252817384664,0.7660748113267604,1.2039603366736533,1.5947913339075221,2.1312963677796355],[0.8469865333188368,0.7998115792381536,0.7946485223615484,0.8267500010098289,0.767550044920258,0.8891315148822281,0.9347855739796541,0.945924052933146,1.0455337261487971,1.0775836954051086,1.1358693386654855,1.1317834299814609,1.0975629039540828,1.1651721280363923,1.247990089120194,1.1702980115461783,1.1573604221586784,1.235402356185477,1.3631641406022557,1.3205247167817642,1.4848296843692934,1.653376610749628,1.5807697385674975,1.8694317147447714,1.4568833385958178,1.4211308595718282,1.2534307949879666,1.1602056600803337,1.1494008860709815,1.1339688837652862,1.2404671446719064,1.1181382238261808,1.1785262169337276,1.2338499828324199,1.1788437409422912,1.2069054196009141,1.11883016910608,1.1298429062286062,1.121658899381621,1.107396610907895,1.2628663676716607,1.2952313923187497,1.3317705619561078,1.7666284319297378,2.7837393858312107,3.2883867982912585,4.188269785628096,2.667394659010196,2.036948924974627,3.168021359179957,2.6390980049427246,2.553260683443676,2.404809767382635,2.8724644560293133,3.180460082068638,1.605490447949847,1.4246710389881823,2.3203814138296566,1.88158973263176,1.9494451477683221,1.4888098305117183,1.3341713598480138,1.3634132119647293,1.5778957610477007,1.3937955990700273,1.383785797654094,1.5593167479876264,1.3100568780054775,1.3981266559511145,1.3750559870968087,1.521666751382462,1.827723056809442,1.4984142895213144,1.6263181237561861,1.3822137401140773,1.8039050300608697,1.2920466441786782,1.2765795941554465,1.2884980246721704,1.2918806963040759,1.1463497819470398,1.179428731863546,1.208011982550361,1.1898073426250002,1.2370015467776263,1.0623269437438547,1.159988986006815,1.2032929451221948,1.2322916752227866,1.2529445564920143,1.27589702566895,1.4578769111710546,1.4185722387424053,1.2936215658092802,1.2603359143183992,1.3172122977333935,1.3463934821884993,1.1707356290018411,1.1090924361585845,1.094906597151003,1.0797821732463235,1.0160125518253305,0.9960378361766726,1.0265283380888224,0.8932741061410073,0.9196890914805997,0.8938343175172252,1.0423370528011295,0.9454249825414338,0.9016335441921663,0.8219035260452489,0.899796854516735,0.9464410903777039,0.9888361578227232,1.0429103884909567,1.0735950166546069,1.1603350613074006,1.198211749663837,1.3385783519434336,1.2793107540392992,1.3293854202073248,1.2396555139832859,1.1846775639557519,1.0678904837478689,0.999466278309706,0.9270290376276615,0.9332197965122664,0.9148859335854619,0.9298822252920805,0.9184364840440676,0.9942848495365888,1.0050061851999035,1.0607352485942794,0.9667370730205634,1.0131782921935908,1.0722839567826725,1.1973140478190596,0.9319280322837172,1.1033271630834032,1.0304584630331646,1.0657076812020079,1.3575382705043826,1.1816296369755352,1.0728684456840567,1.072743258420688,1.053146025255337,1.0299535327143892,1.0095687222033294,0.9794717389931064,0.9969832134543372,0.992040215800535,0.9966027228749448,1.0524133811386687,1.5243671883494145,1.3135912330418789,1.0140900548144955,1.008880836405726,0.9992251338707014,1.0072119749623087,0.9650016939257126,0.9671210881051042,1.0027491252348484,1.0016548819685904,1.0241096305895157,1.0391348288348534,1.207962142535705,1.1838406255519331,1.5414816868448495,1.5847761969027496,1.27107873177993,1.1125904723944742,1.0236315464714945,1.0027796140947658,0.960668031377519,0.9576616159097631,0.9441424123500922,1.0014857858482373,1.0088892298440284,0.9967899213747693,0.9432965082327913,1.1102007995630716,0.9299470305162928,1.0127043654570607,1.070155388831836,1.0625975554591485,1.1373055536417156,1.1482371136920735,1.4175872957164197,1.8306436833164705,1.7399520761974994,2.1586820940234808,2.425266300520483,1.8254962871518157,1.7292154903556984,1.4343723611008263,1.4473806782450187,1.2482962429363567,1.1574371774156877,1.024045307490163,0.9960973492545695,0.8645793173361105,0.7687682315229059,0.8053858224872599,0.7937219258058154,0.7657589365619639,0.741694620730669,0.7751900558602989,0.8117078936016445,0.8604616752181438,0.9182038007422595,1.006714115862063,1.1241634478815776,1.1835199054838543,1.2830589710652547,1.453582106552122,1.3545002471125027,1.3995974134572495,1.2869974290248898,1.1077046149325727,1.163521443237797,1.2507632038460534,1.6791453034147652,1.4564386938985039,1.6137976235697014,1.082387417562694,0.9942502891263897,0.9255986276586643,1.0323701265280438,1.1603076460554156,0.9402259746122559,1.0421072979806125,1.2730723103668193,1.267692522038864,1.134866637000043,1.3049236113227056,1.4925069176983965,1.314430918419315,1.4031338072359265,1.0511595827999751,1.0485274989707212,0.9557373240191943,0.8565552273480758,0.8848832731856551,0.9273242477843743,0.8472123665117196,0.8116172413183345,0.8068665305489732,0.8067637234208682,0.8551745658037312,0.734147786343866,0.839048494670711,0.9488724358977714,0.8776134496182061,0.9293046467784319,1.102667418386152,1.3101596929072352,1.1104998762611473,1.1208199901681426,1.046044356661312,0.9475423920560557,0.8248770966732941,0.913095486596061,0.9820561643764372,0.8886818368861547,0.8854871710255112,1.0284324638274756,1.0359358702433679,0.9261823128449747,1.1234671038945854,1.3904717092646224,1.0827127482694894,1.121052309574684,1.315639625329847,1.610537067464227,1.3755822570114968,1.1358657346716907,1.5246839702738022,1.4183172074478771,1.3970644546455722,1.167530063975257,0.9903783937142369,0.9852433859236325,1.0201518698668213,0.912344703745683,1.0446156463062892,1.0442284066158618,0.9479277828386833,0.7868386952799025,0.9041438555759816,0.7204378577126659,0.8368849554164106,0.8531701696930589,0.7830194529131879,1.2955662644547714,0.9699313189637061,0.7781056431806787,0.8913770448232378,1.2709686146092305,0.8770368281441541,1.0836058265282924,0.9288808223434117,1.3966679263658353,1.8681694339915993,2.348470062863126],[0.8584690323698415,0.7664389620574336,0.7502784496745588,0.7164430552823678,0.6762267869124156,0.7915528937220015,0.8686112136973052,0.8815250632435381,0.9714013802442751,1.0273574086578252,1.08776490046168,1.0994217885592186,1.1004961547848005,1.1644002945613143,1.262688906366956,1.206441997224102,1.1996768934269364,1.319602223520906,1.4912957786240828,1.4556448134939866,1.642508002313295,1.8082838266968377,1.7703765480672742,2.0825441980152006,1.6422861698596902,1.5751100358869805,1.4059350185985549,1.2696613108724846,1.233729720425673,1.1726143346608342,1.3016385024270356,1.140541869001939,1.2034665562594093,1.2873211745583446,1.2374912736727683,1.293416793684364,1.1790684192680352,1.2729018296577252,1.2845845806393257,1.3093863742360399,1.4429365011313569,1.489556825816186,1.5595161385388228,2.018010145547482,3.0212687205504025,3.482358436084712,4.448883095304002,2.989174849635807,2.270335966265762,3.4570558777903915,3.0022001412701633,2.8578652340591297,2.756621916028751,3.159766211963794,3.2521472505613804,1.8059757785871522,1.6446168228021971,2.544551391020045,2.0388117655632,2.1590461780167693,1.7029694060501057,1.540260608915415,1.5333967779384148,1.7901756491340692,1.5991574768398515,1.5392776811185083,1.7198027162596434,1.4397534957627902,1.5164564128384121,1.4536973850485624,1.618841645247025,1.9739821163738394,1.6275369853110933,1.793120970066767,1.47639873553389,1.8823491314646421,1.4396636797349387,1.401837789919457,1.4173787361196502,1.4571305939620305,1.2707038986768422,1.3204199189291514,1.3252046454780557,1.3113460902100775,1.3673123784011219,1.1788822648350636,1.3000894549654032,1.2880323794689654,1.3623992011184178,1.334880646732258,1.3581585379230205,1.5257365001978422,1.5286122201595327,1.3619381344988797,1.3057273655165147,1.3516105938572418,1.359083635839929,1.1765396681030076,1.0973484939070446,1.086266187361521,1.0732053741007417,1.005567058124554,1.0043617497875175,1.030727457758911,0.9420912678893594,0.9831801426979668,0.9465102337191725,1.0766424868679576,0.9636268091608974,0.9104448617235638,0.8191355031969068,0.9139376172147636,0.9075063640344588,0.9840925363248254,1.0466690194492845,1.1075002659278337,1.2044119375743956,1.3004625254011142,1.4807669271669293,1.3562399982850484,1.3761080721876462,1.2387947350347814,1.1832031471445998,1.0531341569429293,0.9794432731017444,0.9077384974700387,0.837951656159834,0.913278246002544,0.9308757947739751,0.9473014007089633,1.0315471255765551,1.0380420870322293,1.1101008238595182,1.0112655358170966,1.0576990955757355,1.089597588570392,1.2186877842467247,0.9871842644236695,1.162220902067108,1.1079649707458261,1.2105836563482895,1.5442840804151454,1.3589047669665275,1.2156722614261657,1.2299983984387135,1.148193177161724,1.1041571612210308,1.0357239044054007,0.9861314951000709,0.9623455286027517,0.9411414745098167,0.9557622338987816,1.0022206672292466,1.5725685217563765,1.3614453885095876,1.0048743505206017,0.9940342642989725,0.9661992770446254,1.0079039636234748,0.9814328019284232,1.0146502622910454,1.0901435042294618,1.1067514098725795,1.1494778471451679,1.166306052947444,1.3582415796396436,1.261970809584392,1.5993410255615252,1.5692665433537316,1.3157813845346589,1.167600652797378,1.1075262918621647,1.0765663531512124,1.048790023562002,1.0398870675651255,0.9974130152394965,1.05602567521312,1.0503307066811831,1.0823938042019634,1.0049990246676823,1.2096963790676354,0.9871413622545427,1.0832531926963693,1.1563681879062957,1.1646183313279066,1.2893661029119572,1.3298811131250248,1.5775524510954524,2.0044798588360417,1.9214499580921147,2.3249760955635277,2.6016041103709298,1.9028455649729223,1.7777180916009159,1.5485413132598869,1.5843755000755295,1.3609816832484687,1.2494857133599615,1.0678413648302867,1.0360708868918036,0.8877346020940954,0.779153217609311,0.814158664162143,0.807516278344007,0.7648553909145386,0.7248563081184151,0.7759296394200161,0.8156952588816964,0.8385401950726588,0.9130758992590686,1.0068965116653685,1.1180850195455225,1.160058458558706,1.2629149204158183,1.4545011481507386,1.3743078873286023,1.3924514096859568,1.303923109296112,1.108303197666103,1.159657039938782,1.2391043994908173,1.669820667550971,1.4400769777032612,1.6201779162090466,1.1266413308489582,1.0290186265716044,0.9407404065363661,1.0989402723246335,1.2456421653530196,1.0076267996129076,1.086289031989682,1.3672166185708343,1.3278211970757945,1.1967018112480983,1.456775546275761,1.6136858143553827,1.4129602113337818,1.5082696832557503,1.10257663164679,1.0938483862678374,1.0186458327457626,0.8653280891844165,0.9293651722798542,0.9099774928501814,0.8882966146272545,0.8439672574790978,0.7950163949407678,0.8132853923109628,0.8667413805962326,0.7193629362696465,0.8085448607429421,0.9080532066284862,0.8398995522715784,0.8871656798532392,1.063591297560569,1.250787017980569,1.0890238946159816,1.0995535895181974,1.0237054507664574,0.9080587084221187,0.7956720398362264,0.9045060529778503,0.9598970245874472,0.8824384576117555,0.9096241758802459,1.0464662809567429,1.044477257152019,0.957159692947297,1.173749185451806,1.4063358584691543,1.1162951483508088,1.2093341791508658,1.3818008322195703,1.6471923358127014,1.417763574928053,1.1643147015399735,1.5755421770064206,1.434311410245729,1.4183377792682907,1.1992176435624962,1.0163864542109113,1.0059290058294228,1.070834001396219,0.9292123571238702,1.0493737357874575,1.04468515042942,0.9604714218256438,0.8184180243552596,0.9286567461249386,0.718073724373407,0.8071138617338391,0.8269445891878912,0.7542042821740627,1.2884463653619456,0.9431506640037559,0.7327060782712563,0.8307688640325795,1.1925504267624094,0.7816201821008278,1.02668445886087,0.8722940376569043,1.2883334645754758,1.7796138114141826,2.33186753961096],[0.8970551921872607,0.8462068771199357,0.8649249446749262,0.8229685337601532,0.814655191918007,0.9745411753689103,1.072502442095885,1.1028333368671317,1.1824541566031996,1.2524708905002557,1.3056486744376257,1.310657926868286,1.3067644043262385,1.3673194520942775,1.4656147010820033,1.4053096484118452,1.3916663239181668,1.482988127306427,1.6092703703417737,1.5716853843398988,1.731275433106909,1.8804857589723372,1.8414167526675131,2.104232955736995,1.711438340498249,1.6745911430093436,1.5093005851056118,1.4101083609769018,1.406620190057291,1.368208846797099,1.489667195485744,1.3517635297246477,1.4092687857138495,1.4823984057779263,1.427981485902935,1.456447461354232,1.3585279267933725,1.3817418962141321,1.3894477356587023,1.3675126530710342,1.4924985725369369,1.5411196727147667,1.5675814516704012,1.9015682388665818,2.8911486739662164,3.367856423975535,4.206669859077841,2.721932138765275,2.099318398942737,3.161473074656084,2.6469054750175154,2.577250943384194,2.45629130592847,2.907964402657976,3.0478136632786685,1.7729672805441734,1.5981983512653632,2.370453908894513,1.9254542980087312,2.0914521573499303,1.6581388240669974,1.5863681924531157,1.632971989536051,1.8534994344164741,1.6323779546585537,1.6399199566022027,1.8116748584636952,1.5696471644504901,1.6461805832499379,1.6128372686835057,1.7407607680265091,2.015255787472877,1.7426258942275157,1.8872394933540166,1.6315906701946024,2.056315197533331,1.570336918637533,1.5509661367362881,1.5445088989577722,1.554458091606167,1.4048561549198029,1.4056282561810085,1.4747557151701565,1.4145435048533757,1.4935491807709549,1.3072311654420008,1.4257088422410946,1.4451072005429502,1.5001942438919402,1.5068296461733461,1.5345902482381317,1.7002842168810772,1.6783872933845112,1.540989292107439,1.491260301744687,1.5397113018056618,1.5505994216372228,1.3866322798718371,1.3093065543357867,1.2798948541742803,1.2965420579131175,1.2265632856042428,1.1991663833736341,1.2187229685809515,1.092537759645761,1.1266230701589577,1.0538204267752271,1.1313409034272786,1.0506881078904162,1.0647929032690269,0.9731423335621452,1.1015523551146944,1.1257481633221078,1.1868845692440124,1.252024956456276,1.297200941416101,1.3805088446381408,1.4211014838983724,1.572439077038597,1.5199210446943774,1.5457302689588175,1.45230804276401,1.3794158545806634,1.2639567533669958,1.1906218551715737,1.1095050700106464,0.9829023302008082,1.0753271884330395,1.0683463350064235,1.0565726773290878,1.0956907467557526,1.0942038767201034,1.1356871278577878,1.0796418252688835,1.116098328213526,1.188398785649508,1.274256157807799,1.0905940837717036,1.358586364740261,1.1342302175318837,1.2343885418209195,1.5558228198357749,1.4184040951921104,1.3063354157569482,1.3137203793871859,1.2971826259324564,1.2566046436800873,1.2096976916525388,1.1832716072311664,1.1870193293801687,1.1473381964003564,1.1815614664492968,1.2280236125370132,1.7326632969782272,1.5309955356775242,1.2331723543722226,1.2248443925511048,1.1967067783355019,1.219232447963094,1.1686268297923164,1.1609832096476371,1.2459189406763345,1.2071635312584887,1.2426424630040478,1.1866914990924027,1.2883044228090168,1.2612820951938817,1.533295575639975,1.5678578664625662,1.3409152044033261,1.209883078436076,1.142415780079951,1.147153905343239,1.1348854859188418,1.1569180286613516,1.154810414736508,1.2395554043900519,1.245634457170059,1.1954848004055498,1.1344983538012834,1.2025270541513877,1.1048690281173288,1.1448862588333841,1.19328411778987,1.1867350608730056,1.2859437194621115,1.3156390718890723,1.5351291863295742,1.952292454420815,1.8929646827280209,2.31075834943421,2.6546895758036775,1.9333203437013442,1.8010824071219014,1.4735224514994218,1.4539599752018608,1.28940494141996,1.2145299673272496,1.047168831107791,1.0965488796725202,0.9205736115107106,0.8670536335241884,0.9109481064260119,0.857105420800292,0.8307552476048143,0.8384212392271853,0.8601060482616633,0.8908939263855685,0.9417080667695417,1.0127048613508214,1.0883941001283164,1.1899458927465534,1.2482764355740437,1.3294118156933534,1.4798717857417545,1.413983973650754,1.4242875775214074,1.3198650628809394,1.1338159497298828,1.1830459999878165,1.231234279344938,1.6316254668965058,1.4000346371692405,1.6496300113688904,1.0969486170214697,1.0101637523504061,0.9618446245395711,1.0242463141678686,1.155345148782773,0.9589801362527852,1.0219182846789125,1.2323723668711772,1.2261378587741283,1.1131994030357024,1.3408726928185986,1.4647584191398115,1.2990598019895514,1.4225504911976583,1.0559232937205234,1.0984496914045316,0.988521297538246,0.8935893644316396,0.9439554941151002,1.002505575172665,0.9786360496219908,0.9024699953437921,0.876767822729473,0.944219550410452,0.9973166276372877,0.8446195184299433,0.9451551788168171,1.0597765218832897,0.975534736316014,1.0132615977736834,1.1908684783201027,1.3585335448548856,1.1996747134470567,1.1974631617807598,1.1034161762942791,0.9966020154728784,0.8732232075750568,0.935430484463398,1.002439979748644,0.9409994481457883,0.9247037441834921,1.02332999605742,1.043651364371391,0.9518775432216545,1.0920344588662676,1.3442285361220738,1.089099853462074,1.1263839216595857,1.2746604850556282,1.5872536016461662,1.373385639916244,1.1589152151167716,1.5225179568021474,1.4613188922767164,1.4322966560997124,1.2469302438636298,1.0552204996458383,1.0758070164134383,1.1077685283727654,0.981905808340916,1.089315868074201,1.0835763808935288,1.0081893926894445,0.8656901706219118,0.9816397743589192,0.8444823950500772,0.9226857587950796,0.9872730543839449,0.910536811974733,1.497679006595688,1.0938697237981092,0.8762671178768405,0.9406267996735667,1.2772233470476748,0.8853638469593808,1.0491907255959991,0.9362601911255668,1.3484888873650045,1.8796478862345922,2.47395804612464],[0.7283014248599425,0.6875762622579926,0.7134325125128995,0.6908784198819938,0.6575956784068597,0.7652270562174118,0.8287371619581523,0.8358785568912929,0.8980130875443386,0.9464984390960955,0.9862989535632759,0.9943602009341383,0.9951500496080531,1.0397951669326877,1.122029445315371,1.067929936617366,1.0730014863213462,1.1562675767616042,1.2944458381919715,1.2838153630152107,1.439211532424299,1.6275793959032943,1.558129370324724,1.8314523329901051,1.4662290428446545,1.4046151287271316,1.2532419419411915,1.140961133979158,1.1090518306061783,1.0679262203011899,1.1418757398860937,1.0310170698886527,1.0738272510283013,1.1353571861645735,1.1095194232916084,1.1463046634254528,1.076531029172204,1.1154771784754762,1.138931933972526,1.1553108087026789,1.2887014902695395,1.2851722358711801,1.3011832860057873,1.678882565868398,2.665987931617892,3.1808932757798654,4.020125244622904,2.5119697871233537,1.9446227723684408,3.0208919593547474,2.4732638708810777,2.4432251134893934,2.2712773681462033,2.7812650568007427,3.120781026844954,1.5719067674832852,1.3801723269726007,2.268368301000272,1.8223342784396663,1.9337197014470549,1.446108936257676,1.293551242555648,1.3140276355851432,1.5244721500927507,1.3603397802202648,1.343081130154884,1.4907088067382142,1.2364212439709616,1.3059141984255782,1.2506018124545955,1.415025974401516,1.7154652465771503,1.3731083876418282,1.523476157768634,1.275937817197854,1.689960758376654,1.226237790879985,1.203109387807226,1.2352789940263067,1.2586458010265162,1.1333203828817537,1.1988736069565176,1.2346916709276674,1.2426676776846406,1.3033609713333973,1.0725961609480914,1.1603270503964598,1.1738966293300614,1.19086520103838,1.1765056235560438,1.1862163448021243,1.354977764438567,1.3130575836137939,1.1640565052942817,1.126479202495151,1.1636382139811026,1.197194778436775,1.0382830522545714,0.9832433465009767,0.9796830345097428,0.9789074497326903,0.9536402988189002,0.9301793669734578,0.984398660767517,0.9129344353692141,0.9483480344690487,0.9042251657499729,1.0288341069254454,0.9305164301846315,0.8933043748810304,0.7919410050111474,0.899667977822373,0.8857008434796502,0.9631642026624538,0.9837541806213816,1.047089114900375,1.1216687875180344,1.1935378627333832,1.3039823630124623,1.210537451140863,1.2493216653019998,1.1565894670378443,1.130192430869039,1.0071639234055105,0.9291329772857285,0.901823323202949,0.8373216462824739,0.9254120677942765,0.9511238747971296,0.9459601143289399,1.028039264364516,1.0359802726842815,1.086537791488923,0.9882079921078347,1.041263856761502,1.0950640844448112,1.2298613536325147,0.9803132924023336,1.2025711702492068,0.988059228534597,1.107861927610461,1.4099158159494432,1.2033143476120187,1.0998983207195145,1.1050591975982837,1.0464270750349403,1.0220646747661375,0.9692103015326973,0.9434479127702818,0.9197466866097003,0.9082578370831972,0.891200759407673,0.9590873335098932,1.4405540926335432,1.2275516250334486,0.9154919475088872,0.9154367108232783,0.9206354455527548,0.9416466479101382,0.9361406219821731,0.970676728354223,1.0094125137108363,1.03250894102074,1.060930260094697,1.06951593217878,1.2507509539453734,1.2351362227157725,1.5786703758038487,1.6189932178610478,1.3376987042454165,1.1683351072561825,1.049101745439464,1.0282160673171883,0.9805599479700182,0.9717890490654778,0.9472924846213311,0.9893866202912697,1.0114452528252649,0.9983110804147952,0.9565959039630172,1.0767766881746694,0.9587506067714058,1.0567190495274468,1.1208822119183446,1.1129691370048773,1.1973988019369164,1.1855778485184751,1.4491873320903144,1.8666202572131771,1.8174196757672183,2.2725084365007047,2.5734184968334026,1.9049655414883837,1.7851367160749751,1.4674774754815432,1.4588101637769229,1.2824863079241533,1.1885214416642835,1.0163150411333712,1.0164705985070626,0.8375535666539784,0.7395941186710452,0.7796148080012979,0.7497061062588258,0.7023191978349032,0.6743069466384954,0.7201794582663623,0.7473038042786244,0.7752583702462004,0.8522565536774408,0.943531379019687,1.0445668975033373,1.0990593531680843,1.2124713844717483,1.3811701955891216,1.3008006347499748,1.2900073673639645,1.2053424725164141,1.011063548935578,1.0610994856905462,1.1214419711837196,1.5482595778066714,1.3032439915277745,1.548944376474061,1.0182621176578808,0.9351259542758933,0.8791473702250262,0.9761687496830255,1.1105725266359856,0.9009996853447712,0.9841233845158609,1.2126355564885045,1.1944779709219933,1.0931882996902373,1.3284473076330434,1.4612994737092107,1.2860365910840061,1.4242881810490895,1.0244769281410684,1.048629821133807,0.9471775472824046,0.8176583359985724,0.8531154880525822,0.8843472895824753,0.8394762750906549,0.7827491056871656,0.744105075535825,0.780503590848842,0.8383798588324226,0.6743970986004229,0.7661432391617506,0.8845451359278266,0.8021933168714487,0.8428934194870665,1.0141714732335585,1.2172595105691117,1.0342515019401581,1.0275069301356456,0.9470086062473423,0.8361306070284004,0.7343140191780743,0.8132151515357917,0.8693907551975786,0.7979776402856927,0.8144260205117743,0.9227990854398209,0.9317822364029018,0.8623228865853431,1.0272262307870739,1.2671603547395236,1.001317149848189,1.0779990297549769,1.22057128751408,1.5264106788596852,1.3060100406081185,1.0762402720759783,1.4809554576036308,1.4087183961950815,1.3048665993865574,1.1306442292378616,0.9361896340693984,0.9418703864206894,1.0097429609350734,0.8725873499194589,1.018555877185078,1.0302521943541643,0.9376399940498091,0.7686145653068036,0.8985490983014182,0.6932561908393556,0.7787014776241532,0.8152403702714864,0.7219942981349375,1.2703934117807496,0.9160109760564458,0.6872636388671364,0.764349574466292,1.1595978665598792,0.7215130446226711,0.9584397532688755,0.7778264658180588,1.2936568579594057,1.7445278830750797,2.3295800992618148],[0.7311714085194654,0.7116722334894173,0.7749829871797672,0.706359420626203,0.6874685237129204,0.7406196190959982,0.7675030263474004,0.7747610622572466,0.8375376340983864,0.8954764280942249,0.9276972944890649,0.9561633793528004,0.9801721800387317,1.0050661905313902,1.108197146018294,1.0684957731690676,1.0983914835169049,1.211103869948601,1.3812398775223178,1.3673332398539673,1.5393118201631852,1.7293722597676648,1.675504923482176,1.9801775462194313,1.5604671116561237,1.4821029186615737,1.3401284251665886,1.1968475191142312,1.1630402585062845,1.082261645921565,1.182164048301525,1.0436903059327707,1.09632343745298,1.1729849493854627,1.14614584042159,1.1971433321327813,1.1252787258079981,1.2018157352406293,1.2436396085963612,1.2880952918712567,1.4034627181999655,1.4249826278546411,1.4796273173796848,1.9504320817490284,2.9257851240957877,3.406142993037339,4.377270444785362,2.9180108974398498,2.2256293212138782,3.4045718088774617,2.9433923635270745,2.8446437587945943,2.716006875048047,3.196501456146174,3.2828346211895933,1.7644609014880248,1.5818655182352253,2.5242452155861166,1.9923553321319818,2.1807880454558113,1.6239850327849907,1.4322038697054422,1.42305028332139,1.6608457225938695,1.4967101012170516,1.4444113970497585,1.5894104928082766,1.330879872347608,1.3676155566979455,1.2821062662251237,1.4474112699631572,1.7931106665611152,1.4325725397451514,1.6266751072599257,1.3287695091856844,1.7152716316273815,1.3234992916283128,1.2969348320788527,1.3309293361759496,1.3617287194269916,1.2123132757967305,1.2755328062576707,1.2889066764013033,1.3437475387636824,1.3749727230223248,1.1474546495051274,1.2431122731704534,1.2214637931516454,1.2665588078613768,1.2432189747522866,1.2561103717738333,1.412889487491407,1.4020440176788123,1.2069281004774621,1.140490554717613,1.1709545518468973,1.2076086954172658,1.0415251837439343,0.9650541983684383,0.937867339985448,0.960655628870464,0.9239351062688196,0.9209438249956007,0.9486067516841453,0.8903707636654561,0.9373003600978234,0.8932050502729794,1.0564111602353985,0.8974036275736157,0.8478748493304706,0.7387306375616159,0.8432260008115002,0.8272490065898814,0.9088855064312937,0.9639250436882341,1.0350375631611763,1.1235898901291954,1.2361727961043856,1.3826016446542495,1.2629855759578583,1.287431106792806,1.142757453521556,1.0945153797595193,0.9626908703547324,0.8647416300574448,0.8389551448783586,0.784386943463849,0.8459476689457959,0.866146105612212,0.9101498441997298,0.9548197073480766,0.9791078089009949,1.0609366680428993,0.9697571136770943,1.018880628771973,1.0563716505885914,1.2015165373608847,0.9569209113893186,1.090733275042914,1.0718945569397857,1.1349895671762322,1.451781004120146,1.2836236980630593,1.1550758751708552,1.1738315079203883,1.09392389673059,1.049722314396007,0.9561392930265656,0.9102510372764036,0.861673397449093,0.8370296337844163,0.8421284772336114,0.9141931632090292,1.3823502179232454,1.2003416755597998,0.8733685641456822,0.880080395918305,0.8545042900860096,0.9221083149172351,0.9110202230485571,0.9540142107997817,1.0377921735657258,1.0647957504894425,1.1263540660676856,1.1095677231505028,1.2905370771161755,1.2185441289958798,1.542774946293675,1.5111724965686124,1.2532789002694051,1.1095860391250072,1.0688284711378544,1.0486605144395509,1.015190511820981,1.0048388139576996,0.9584862373364796,1.01492058358752,1.024169951043009,1.05541939283876,0.986599139154265,1.134586661130403,0.9569960985990937,1.0758478879340676,1.1366066361691736,1.1393443614808132,1.2490549496358927,1.2780557493802576,1.5395910422541565,1.9509110750823437,1.9110976361050827,2.347551631561261,2.6294394726596115,1.9441083843603648,1.8075752284472706,1.4924207705389263,1.4754314149102568,1.2528871320196906,1.1597689849977642,0.9782631753940921,0.9493029925509272,0.8275849100100793,0.7339293118293716,0.7401414877860277,0.7430268366398819,0.7165151596460696,0.6692534381585648,0.7186417182597469,0.7908772437219712,0.7863610461651709,0.8792916746043041,0.9951802559026991,1.0796156602762657,1.1069790820579921,1.2434683732706955,1.437928688147841,1.3747051042289333,1.3273488674746807,1.2742404732459547,1.0663919390910541,1.1227395236097777,1.2100920524626708,1.6187498781546394,1.3690478388214316,1.4808327583149457,1.051571441326858,0.9638153324569122,0.8948399651756552,1.0391840218663426,1.1745518815875564,0.9565801873057879,1.0151060341565563,1.2591165264060493,1.2041572138023824,1.0910669505498019,1.3997906041168615,1.4875649016182744,1.297196316684034,1.424303420408839,1.0075805355910845,1.0305201073262453,0.9736983842083258,0.8310299807412762,0.8941154747080451,0.8655609742157734,0.8859964471679688,0.8227881720442417,0.7613806655669734,0.7899961771191858,0.8406724640040039,0.6767664705200851,0.7589108353076809,0.8681473539544645,0.8033076716642779,0.8410084679939033,0.9744219562893847,1.2003049067095222,1.0357688272000227,1.025643932188876,0.9649141745518653,0.829182249254198,0.7515208920001222,0.8246712732085059,0.9002832206602105,0.823366693527227,0.8312744026442228,0.9679829718156312,0.9823972998721987,0.8898185788597031,1.0846096116324915,1.3342495547754076,1.0515695720655358,1.1281441512065271,1.2669365194248077,1.618529612321826,1.3795068602124863,1.1018452263552034,1.577373795235645,1.4637502646826759,1.3655075286000014,1.2166887020187085,1.005088077445911,1.0136823724395716,1.1521188061233283,0.8911899857371297,0.9636098785568533,0.9167963820451116,0.8533595762957705,0.7309581218730246,0.8312968481944749,0.6787275946110318,0.7380597455804797,0.7626915454916409,0.6891884496587917,1.1591716181736624,0.8448233829121513,0.690418762691085,0.7302107957699016,1.0762516940780804,0.7044270317597631,0.978916632613272,0.7627177267543215,1.3355539415345405,1.7333887064249178,2.4560008043849244],[0.7254944339985725,0.6982770270470363,0.7631997444313475,0.7162499747182425,0.7362029635999363,0.8427946421452457,0.934946854582255,0.9527582756267569,1.0466591515228902,1.1280282141338525,1.1603739144934546,1.19098530945715,1.2169113139303622,1.2427067760199153,1.3405907613105434,1.3174912345990555,1.3488591366178173,1.4511069629714692,1.6078058522256788,1.5909183888260792,1.7538511809373714,1.916619131545811,1.8605835287898551,2.1968636103196295,1.7482945206557703,1.6926897822650784,1.5490499952139685,1.4183414599086686,1.3998451879996925,1.3305606544438122,1.4268943343610236,1.2995287724082953,1.3636747200172572,1.4176930236788403,1.3918716438678427,1.4346618272933107,1.3461256778366721,1.3955792325240624,1.4488004188222885,1.4543950848468676,1.5777228235847203,1.617382828296621,1.675250872598868,2.1188394718965644,3.114153665428671,3.5672349908816776,4.456934122602454,3.014646769341287,2.316708546452953,3.442339371193075,2.9649547535422958,2.8717137854501424,2.768405183526513,3.246183031458005,3.2130519593549254,1.8920724453410405,1.7156804064132958,2.5979304062642528,2.086893760142425,2.248599719573293,1.7808075331686255,1.6366547924462416,1.6461464941706614,1.871888793479883,1.6789306491902132,1.6625623949924568,1.811904672300735,1.5710402472221252,1.6010449784082241,1.5356597817239055,1.6650825746582012,1.9954765361066908,1.6699576542699617,1.8231140562309,1.5768333509927712,1.9561679030142314,1.573163040464702,1.5486721846851979,1.560709240938457,1.59050180072872,1.418883108341464,1.4264884999247331,1.4992462123518309,1.4993182902377817,1.5458266341314708,1.3532851269062087,1.4413083502636206,1.4362293916924715,1.5079319265287976,1.4818790891990041,1.500432091487597,1.6438449501874985,1.618998292288987,1.4428982425442844,1.382013157688034,1.4037130661637804,1.426240429361789,1.2995046376823842,1.2178527548564582,1.1719504847879836,1.2145249428154004,1.1310272808851547,1.1470208091118848,1.1440226284718902,1.0762943295885774,1.0997189823653413,1.0299338043318447,1.1339114434550364,0.9971104497395363,0.9746184693438057,0.8697102289978732,1.0203647182466866,1.0070864991394097,1.1012237002274858,1.1754000106082294,1.2397729856573223,1.3484238236138126,1.432501686749668,1.5930938236877015,1.4849065721436634,1.5073662247683681,1.3690350222798353,1.2983759578953769,1.165031611211115,1.0579613303682778,1.0148624857694206,0.8568343565042872,0.9796842332545617,0.9622635998591133,1.0320701497769271,1.0258834071863308,1.0233662000338646,1.121137155144263,1.0682407627364203,1.106657272449781,1.1566670464789928,1.2160521875280919,1.0775166098168234,1.277938093497689,1.2371332392526844,1.2763871852595035,1.62190214797508,1.4711196576665773,1.3410872062210277,1.354630647433053,1.3088831124156046,1.2563024496728035,1.1782917619095412,1.1179259951475313,1.0760648775456092,1.0271834005231215,1.0502514177752795,1.0901362790117608,1.554027885642936,1.4320486336061162,1.1235941088516026,1.119341546652907,1.0748440103861012,1.1446368587268627,1.0946565091669573,1.1385716875127425,1.2452431049724721,1.2346554275926462,1.288566956666196,1.2366900030898815,1.3630772601156529,1.2725936520245154,1.5211686760491387,1.4967292175182627,1.301836828552979,1.174674944373029,1.1868476999726718,1.186806179943359,1.1743531820656414,1.1884708923498088,1.1630848798803413,1.2417240455763279,1.2444279869597756,1.262209051382726,1.1663803201324452,1.2572325836543699,1.1134778174113098,1.1879967555623159,1.2188841852443697,1.2247774404100262,1.3537632627400378,1.400954558814398,1.630886782749489,2.0310026013042317,2.0057259473195805,2.393160789828178,2.7218437571306318,2.002840549201863,1.85290723598174,1.5126089219586583,1.4638555320797713,1.2678472567499603,1.1717914961876386,0.9658512788273292,1.0114740352037017,0.8247610327691387,0.7740210858425587,0.8048372490138387,0.7108379210010121,0.6663948071052073,0.6630209433766017,0.6828816291369512,0.7001196919131711,0.7457418978014908,0.8533058324338126,0.9197965607504086,1.0033289932842986,1.0899630236202325,1.1816926585965333,1.3481972209612467,1.279939207058986,1.2205281853061805,1.1460307929495883,0.9353840536988199,0.9804635628315874,1.0251656592929328,1.437894925248927,1.1856661822205496,1.4048815029020743,0.9377921676105816,0.8807181222047598,0.8594007475919981,0.9585363062024838,1.0569972116267754,0.902449061090403,0.9341689724905095,1.1730814187399468,1.1174998429462606,1.0261213031165777,1.390913312842201,1.42050609334605,1.2230319527836133,1.4167433424031726,0.9613773385799926,1.041856117199045,0.9570750475198547,0.7980533828774843,0.9038415008089179,0.8642875705523982,0.9608794793716102,0.8472652413985127,0.7427259938085696,0.8611629807542559,0.9108805169288778,0.6768654063599245,0.7760926087970706,0.9180866549333548,0.8025000927062927,0.8116361769507136,0.9947331397359221,1.1682493450360631,1.0133159126145836,0.9909304078786881,0.8899534508228275,0.7498462885787331,0.6612651052785016,0.7242596993766408,0.7787926714785375,0.7300948429828612,0.7359472212901816,0.8285000699027558,0.8467208606049866,0.7876277253654791,0.9627252205658458,1.1735357991644044,0.9308023106086566,1.0353280429074567,1.1450883946766328,1.4978624100202491,1.2678035165540789,1.014589037763592,1.4804655306228667,1.393082442307489,1.2604658820856172,1.1182543227715418,0.9090299227749553,0.9345497210531407,1.0505524604228904,0.8174053106139314,0.9183120007623252,0.9274213674414332,0.8321455462640576,0.7458948994966017,0.8615798551451804,0.7528230836819922,0.7641343189280855,0.8491734027450294,0.7541008145556516,1.294584689052349,0.9162464837856745,0.7031944798097506,0.7744080328942348,1.0911062436891996,0.7284543059953134,0.9528632133370273,0.8338121882754725,1.3565613160298493,1.8694419966508031,2.6106120533728907],[0.6686250898883627,0.6753467905301861,0.7662193860042117,0.7031096378945102,0.7623366488295514,0.8095777093005914,0.8906093769872674,0.9002621540395936,0.94191269269937,1.0093447906902302,1.0231893995669379,1.0557619789621158,1.0871577161319137,1.0966612504511988,1.1833960594099628,1.1544408205310015,1.1740259257735246,1.2519219365601804,1.382835332344568,1.3629527479868309,1.5031098413065567,1.6773714948343217,1.5801497431957903,1.8781662838791044,1.5094435286440346,1.4608217170784583,1.3434181062845092,1.2457382327753026,1.2232769628431657,1.1766767739315342,1.2299377491450623,1.135019813354925,1.1740710706912345,1.2296934951413805,1.2094272801324772,1.2410508905916557,1.2019009069405886,1.2286867923803098,1.2660315174474757,1.2692326874071442,1.3873785799161542,1.3901585258030917,1.4242651508040813,1.85108466736284,2.8656346048636867,3.388997731721418,4.194619850658179,2.6862249456832563,2.090770379250579,3.168260597802403,2.6195447773239606,2.5681374062591913,2.4401130987080832,2.981557032274651,3.1438632623561977,1.6737699961105068,1.490594859106306,2.399637181825669,1.9218530666820846,2.0190178375682675,1.5439547499980342,1.3712309187702127,1.3919468779723814,1.598872809678994,1.4161110172847675,1.4137712279244825,1.545909651595686,1.3155501036338164,1.36337094183114,1.3060097140907534,1.4472389820621523,1.774327803749406,1.4248725347047801,1.587905037945824,1.333567107632864,1.742308973213094,1.3156680425590355,1.2955683388441142,1.333750942779558,1.3648172717542713,1.240265734017511,1.2664100718593736,1.3763553454579094,1.3537316208600523,1.41965944548015,1.1991287773812755,1.2700664235088746,1.2815464986037395,1.289252807173336,1.2743851718027015,1.2786359504821136,1.4262941348888092,1.4126998105277122,1.2503849532457367,1.2024343000369393,1.2249993925084666,1.253895397020788,1.1326557059551308,1.069270321888322,1.0488597335291603,1.0888852738901849,1.0615932975733657,1.0464320714610553,1.0904064156149917,1.0233111528641388,1.0710280577087887,1.0285428712364657,1.1565292999439503,1.0373520581768394,1.0040338376249016,0.8862427783821476,0.9981092160890906,0.9727981592287551,1.0577339303619404,1.0801025392133792,1.143824370922943,1.2170362998745112,1.2800836436245966,1.3837679961290983,1.2938470109493054,1.3223451530993864,1.221734146177461,1.1872894338800977,1.0831291745571046,1.0020443311721368,0.9951223289654298,0.8767049753151082,0.9867074280654985,0.9849257327506683,1.0256188350513349,1.0637081235938823,1.0561526530860577,1.1199636982293035,1.0573668953434687,1.1006667369298804,1.1503622045372104,1.2325993703954707,1.0448928462840996,1.26283204521214,1.1309770056566915,1.1468514589627314,1.437404368205626,1.2895406115904033,1.19442334686796,1.2049397267389597,1.168217846529159,1.1388519783066287,1.0813508638612588,1.0490265960251866,1.003508638172359,0.9890821204974395,0.978728839253494,1.0335864878128378,1.480287151542914,1.320222845855539,1.0177071157972606,1.016129890155082,1.0101447854917147,1.0507521175679957,1.0402978499514313,1.0643289331223904,1.130456935467652,1.123733891414839,1.1583799509576407,1.128780771220647,1.2396509170178802,1.1755464513224352,1.4395012701530054,1.4682942345393448,1.2739153688173253,1.1359364452063163,1.1212736027127628,1.1090147945363713,1.0795275809813636,1.0839997454383845,1.0732131087307084,1.1180520837895875,1.1382099233489855,1.1273066574053516,1.0694644128680884,1.1657124116020412,1.0569901468200695,1.1212542606041935,1.1420333503524023,1.1318444404262424,1.2207980772702682,1.2479250218374531,1.4462261138396637,1.8509077508813572,1.81070800701272,2.2082234786110977,2.5957249205365787,1.9236434458349478,1.7996406944367473,1.4837436469854877,1.4627836563688836,1.277457856060371,1.19347431277893,1.01210255687522,1.0608117622912612,0.8964036170290527,0.8376889407659668,0.8677929748186045,0.7825320298828701,0.7373745875471535,0.7193010605355865,0.7433438825017386,0.7517124509318271,0.7760271259706245,0.8666751262361643,0.9182377773099323,0.9786607112577083,1.052663573277047,1.13415004809484,1.2886161988127725,1.2507775575999556,1.1600380726994364,1.1243642180262534,0.9410807676590897,0.9690176955555919,1.0049153594287388,1.4007793070204773,1.1633528689980275,1.4194123747276626,0.960706447118388,0.9397728939429543,0.9348406960930955,1.0191710023533578,1.0934594582953434,0.9744852668484549,0.9872937168566273,1.190924674244667,1.1594183682043304,1.0671400484239697,1.3899848181115242,1.427248369177146,1.2623432260446967,1.4450704313719094,1.0236241511647497,1.0715669323387773,0.9931493845554685,0.8624441219811687,0.9574114975685031,0.9261329484043295,1.0021855432076108,0.9037180523976068,0.785094420990719,0.9035726201562299,0.9471931074824508,0.7271008520470206,0.7993906147600844,0.9233262379535283,0.8110138484967155,0.8217749135479203,0.9762170650575325,1.1287778088894074,1.000884794174284,0.9794551794272719,0.8848051004055548,0.7772732502424503,0.7105193116688311,0.775664018417782,0.8066819678167053,0.7696246931241271,0.7945443384749274,0.8641171625981307,0.8755418119897452,0.8560647910579843,1.0015218494372282,1.1658758570788106,0.9766807574830986,1.0892275482872769,1.1666381499819158,1.521813431543818,1.303273899637282,1.068634739373768,1.4833238804234714,1.4236575752562042,1.272004892973248,1.133789845910288,0.9369048450523447,0.9412399602756658,1.0651543100486234,0.8769410267692357,0.9977361851512413,1.0292701562214088,0.9166548633220762,0.8189305717942851,0.9225529410254524,0.8038660195409942,0.8207445669637662,0.8929686955677232,0.7938666413307219,1.3163203215327417,0.9430835675883766,0.7200279222689474,0.7587889248027391,1.1016365881425596,0.7057119875479028,0.941494957072592,0.8002209122378154,1.3451785101391496,1.8360176710884795,2.5990215444614164],[0.5183970808821284,0.5225218427436558,0.6438599514010593,0.5557826335461244,0.6409234815929429,0.6868689033068976,0.7982014636276896,0.8270234730612034,0.8402705584895157,0.9021307355741615,0.9125220545321252,0.9614403221129979,0.9926653753180192,0.9786597649966526,1.0744482084729718,1.061921838453502,1.078427321973703,1.1547733926341097,1.262294677123005,1.2729621895960785,1.3960274602384433,1.590819497811107,1.4894677222297086,1.7540720315609464,1.4259769145673051,1.3562516397243622,1.2714275321964248,1.1678121490786295,1.145006683228783,1.0906705369367564,1.1442134754367386,1.0611139454276508,1.1007238697926298,1.1450863474361286,1.1375132090124034,1.1693956144005602,1.1515635807821945,1.1912088331704136,1.2265579827348727,1.2666632886082956,1.3526509190017821,1.3385320005395647,1.3629691970673499,1.8204508008959428,2.7872030666658802,3.309677179062634,4.224400567838424,2.7454712494701057,2.126601293283463,3.258136896174739,2.763611293982203,2.714072681397759,2.5627387376024946,3.0966969688562878,3.2729483022196995,1.676260168431162,1.473206577901595,2.461280471636607,1.9388280244583942,2.064164112549787,1.5026688355565818,1.301069205586243,1.3013550166716865,1.4923682077922271,1.334471398391814,1.3324966032525962,1.4448085818054075,1.2186296733463629,1.2349210378493543,1.1790501328650196,1.3292738413428364,1.6642585255973685,1.283416361055768,1.4599237109153718,1.2085110595417377,1.5884144853364595,1.2168522885594777,1.2071361198147474,1.2642907451932495,1.288485467735659,1.2030928111977304,1.2709932939736208,1.3150119578377486,1.375285109056079,1.3927301202508442,1.1645092801914265,1.2223100614095013,1.226900372409695,1.2107463270728585,1.1938283980280087,1.184024297510725,1.3258027797719916,1.3128931218082927,1.1451411118242096,1.0981094181893953,1.1146288895737961,1.1501569957833224,1.040299003477048,0.9808402421662391,0.9567500280833656,1.0023180115662942,0.9738264864579536,0.9792019900371376,1.0370405201469595,0.9940068598158026,1.0404481253057951,0.991105396255585,1.1252038701647973,0.9672780399138415,0.9395174176460135,0.8106582016413131,0.9518773897771423,0.9004392403936219,0.9852049236809,1.0019093012218983,1.0725606726119714,1.1263317451076282,1.210747846093975,1.2842307649682048,1.193214817806266,1.2131673149540656,1.1269260808162223,1.1077652760279,0.99536414801584,0.9057050817282583,0.9298570582811767,0.7885460203012329,0.9339566295475971,0.9448804003880594,0.9983123272386403,1.0161737181572659,1.0277192963269957,1.1063408321733372,1.0329419923656915,1.0719472875761145,1.1292147805804869,1.2594727925850102,1.0392776950609233,1.1723804698751965,1.10423005559839,1.1335904298025128,1.4041504303659413,1.2361693974977788,1.1632356321291133,1.176836280458562,1.1093257749711334,1.0837334749781846,1.0047656466578336,0.9884032033946462,0.9238273643882936,0.9103489397937266,0.8957299243924829,0.9630975478908944,1.3406409399761068,1.2073602980889455,0.914260869180693,0.9332887918758386,0.9278126642025696,0.983515717167653,0.9980823169360243,1.0348062865666328,1.085842733710851,1.1090904418923688,1.1555513401789637,1.1477705024095954,1.3098339035505784,1.2407336572492926,1.5258044814042813,1.5175751459367453,1.288691512356192,1.1596875682482681,1.11454231519701,1.0974514395434687,1.0690741951929588,1.0573754143301473,1.0320570515779453,1.0621640578845264,1.0798636208835108,1.0936363331858356,1.0525030783545863,1.177409858675992,1.048961745594045,1.1524468867096256,1.1825918054933002,1.1787922658417833,1.2593898989018815,1.2672603178362396,1.5038063986563435,1.908936959264947,1.8825789391555894,2.317508484988503,2.66934677509535,1.9752882729710088,1.848636445314764,1.5168856904487176,1.4753257888662044,1.2778083835050629,1.1851403440541726,0.9718688232066048,1.0106454755298229,0.8297732007492041,0.7535795748417811,0.7703919388441731,0.6743558098458462,0.6204292290972687,0.5902813009384582,0.5857631137188625,0.5998218051748574,0.6131414051800248,0.7321445482542305,0.7882169909418182,0.8448008421075776,0.9248109044133958,1.057539178477395,1.2098834741875888,1.177173188937716,1.0265816603033924,1.0017139713386318,0.7955740717113778,0.8355867530013237,0.9043615260471921,1.3166572142517652,1.119163383814266,1.3260503022082832,0.9054924666275873,0.8680429960191561,0.8597883892924868,0.981665526905705,1.0403389741440077,0.8950114732432473,0.9560422880635046,1.1855443339331477,1.1048483590863956,1.042192421166923,1.4220756726784245,1.4268188997827376,1.2153300466949521,1.4182071577207906,0.9635789982191334,1.0645226190196606,0.9803841938104552,0.8191762337743408,0.9220002536062992,0.8562970146549915,0.9284689026551218,0.8434685481240897,0.720733525626269,0.7979234215567398,0.85000253617277,0.6247100539760605,0.6679259829541339,0.7955990223391577,0.6801651098672462,0.662359143526883,0.8095324247865096,1.0233381900631104,0.8411406141195634,0.8083572098582369,0.7139156769405316,0.6152838718902336,0.5973780166621876,0.6477002321496717,0.6550662703160643,0.6176626970290479,0.6824602471913872,0.7579782944189153,0.7548508670186276,0.7428209202096652,0.9291358049547846,1.0989510655140138,0.8569433815710652,1.010753836256762,1.1154371942901429,1.4331161174712972,1.2199468727036593,0.928024346373691,1.4596953501364294,1.3652590795580464,1.1357792264114286,1.0222881398044714,0.7927130832582135,0.8484612060008982,1.0222751312921994,0.6976001845220824,0.7952720482449838,0.8322819564300797,0.7747889636942003,0.7218046817752634,0.8557676321755651,0.7238494593659006,0.7150550783234195,0.7916551166438909,0.6824107518240841,1.1647259755632176,0.8580272155432582,0.611085884304966,0.6326723699565697,1.0505002872556475,0.568447279371526,0.8599400980777878,0.6601805975768552,1.3072130212851811,1.7220452407692386,2.5862339215430774],[0.5666880737083352,0.5833506833027732,0.7028350223015029,0.6228961636325234,0.723192125424469,0.7864142124759589,0.927851308142203,0.9764397818388805,0.9941894554330122,1.0902154241321609,1.1028633789990143,1.1504861003734925,1.223034656824465,1.1977803933210807,1.319451010918139,1.323350037381217,1.3485768798678495,1.4560839668822687,1.5857121774068597,1.6178832677635164,1.7426564449068462,1.9300523662480713,1.8399102388761128,2.1407792326958854,1.76361470838208,1.6930935287660915,1.6116703307944278,1.4779041947901164,1.4523465332289451,1.3718520107475438,1.4338174290921715,1.338511172907412,1.3843854442232408,1.4538434293462115,1.4498724681686976,1.4939935944505298,1.4543961351628647,1.5091216935810623,1.573175295949641,1.6132631125852366,1.7009689418350533,1.701156172968891,1.7460534306737563,2.1811930519632527,3.0996151002517878,3.5629892033731694,4.495736764105803,3.1025256185352057,2.426741037246449,3.560201908099622,3.132783654944215,3.061450182558639,2.952809142748282,3.4299877387802837,3.3381314599037974,2.0270847896024926,1.8425764981521404,2.716676788804159,2.1672596225583396,2.3844265870104424,1.8331305166768448,1.6641854329501284,1.6621636980150643,1.8388908669392063,1.6906289785668933,1.6913277045901578,1.7816744214370355,1.5502462330240316,1.5301972827647283,1.4405180159537079,1.573217521345648,1.9171008078695704,1.556361887696098,1.7441250587339612,1.511334555038507,1.8682620543187705,1.5550536127647663,1.5452315079210253,1.6079324044432035,1.6514810305981562,1.5343247122330392,1.5836112204315556,1.6080020011543774,1.6902498440255755,1.6922396272866072,1.4859803357789128,1.5589685855589104,1.5423029477407333,1.5568731199310495,1.5222756077559987,1.5126023822936925,1.6213466467429,1.6206775837069785,1.4332689971119748,1.3652254536100916,1.3637670572510265,1.3804705143893485,1.290284606855297,1.2112597818919546,1.161394396530504,1.2512111254242926,1.1833245654880373,1.2364032789167567,1.2576654548666901,1.2184484837957734,1.2429928735491456,1.183559356482235,1.3119350283156526,1.120396901667511,1.0868287389601397,0.9651268350863511,1.1200474722402425,1.069164601019626,1.1671327193857362,1.2274668684058159,1.3029658629205065,1.3946145794850757,1.4966153047063306,1.5934721210086502,1.4842826229791959,1.486460357202452,1.3491292155363175,1.3063140084187213,1.1757825706356226,1.0526021035876638,1.09763133346507,0.9096605020237785,1.067532189465904,1.0708758984695774,1.1685585062402724,1.1463790616948317,1.1651736851723324,1.2755533950843547,1.225335630008363,1.2554314178635009,1.2757455487698413,1.3495463756408224,1.2314251948661628,1.3479082290407864,1.3677539861360501,1.4102987220888155,1.7068997335745157,1.562556782053443,1.4631324176922587,1.4870246260577973,1.4059627372524728,1.3587275545419037,1.254827034716831,1.2168862697426017,1.1210900548926561,1.0844380390818114,1.0745632769996096,1.1390005558901346,1.4582334929441387,1.3720291314452315,1.118260338329224,1.1460891399311914,1.1261736640951898,1.2237636006654997,1.2264211536265037,1.2835460647320938,1.3688277936393791,1.383121641557117,1.4525472860461428,1.4024036416904315,1.514741325760581,1.4447440730839787,1.6551344448341316,1.5981664679829424,1.435063296881582,1.3404855873113972,1.3362192153944663,1.3432269037403177,1.3380320186556554,1.3405736497155019,1.3024779019376649,1.342394940932294,1.356466465755637,1.3956792068585842,1.3321587601881437,1.41786993337109,1.2907733123299574,1.3796004837390825,1.4095775315853756,1.4208053879767724,1.5263650272225584,1.5659587600373062,1.7791329665386189,2.170511889527103,2.162557160594708,2.5396086727685447,2.8958513116242295,2.147780234663075,1.987420445885526,1.6555595107506524,1.5881557383735443,1.3884618701533344,1.3012698639174358,1.0634083010118947,1.1199432966970995,0.9306068802852967,0.874753010381161,0.8792764084021736,0.7388542556614655,0.6863590851430914,0.6619346033360843,0.6200293302362817,0.6130693247958597,0.635355449014979,0.7425504294122333,0.76726195110573,0.8125338887970115,0.9119561597710003,1.026565818231759,1.174359567637235,1.1483938140371386,0.9905634352422247,0.9793317061478973,0.7643835150437047,0.8045208818145618,0.8802844334527975,1.2960814514731,1.1191434848919417,1.29861378050582,0.9320205009345891,0.9290082389486659,0.9450287251932897,1.0654453611904486,1.0862193711624688,0.9736192328925057,1.0423156254974837,1.2451351258538155,1.132645273392202,1.112672359710835,1.5560242265670932,1.4798373147230093,1.2397529846617508,1.4849868666660642,1.0300141268528404,1.1984557707078523,1.1217492839222785,0.939665736733377,1.0604480152148508,0.9644753379695045,1.0930136579644918,0.9802892827935034,0.8300638361813194,0.9421670605356721,0.9745635273938826,0.7249989613944193,0.7489878419578172,0.8684567947417098,0.7198982405817712,0.6806889221557393,0.8191407996428199,1.008231511090439,0.8353953847257936,0.7966605025048262,0.7009128761422382,0.6235485393805686,0.653713234976323,0.686327090418659,0.657508109231667,0.6287903931136227,0.7245809984035327,0.7600509891502776,0.746490473414089,0.7674817913344115,0.9507703127319659,1.0949036254830509,0.8534668919428322,1.0258013410936455,1.1201170223583452,1.4076411020317114,1.2072673171843118,0.9132372630307475,1.4747543598684836,1.3804190675090133,1.121809581347546,1.0168122239768704,0.7794477714625688,0.8306253597156271,1.0314193819254966,0.6988338735720112,0.7837728714484173,0.8257148080330681,0.7895299009390743,0.7908186472640337,0.943179942529437,0.8412778044552963,0.7816292977675807,0.8999654422623643,0.7856082378749586,1.2425852279446212,0.9283369710131381,0.6817682988993186,0.7251873031189978,1.0821015043047577,0.6637154215228623,0.9288740417821665,0.7911614331099629,1.4118472234128954,1.8691842349037047,2.832774089854515],[0.7243650561653102,0.7369968074651558,0.8479457230185077,0.7648451568248879,0.8718487197560848,0.9296407830444628,1.0678337645859302,1.1241525085846633,1.1201765168161635,1.2075570750521671,1.2013448082369436,1.2635626751469244,1.3483507467144407,1.2907632896594807,1.4065132197830015,1.4317611079121964,1.456265805807525,1.5442705147540294,1.6465055684697183,1.7038517391592276,1.800441326880728,1.9901481444724327,1.8767327913582215,2.1793680917386595,1.8326874793939762,1.7671360249133974,1.719255440450969,1.5947887451782479,1.5697641020967867,1.4994944597977364,1.5225324527663477,1.4619121103549355,1.4963325718016738,1.5516103637808012,1.565102819268923,1.603797755817001,1.590905909327323,1.636907697085081,1.7091437344072125,1.7421775599567069,1.818403998110503,1.7943729793374077,1.8257404521510112,2.2240520698267874,3.1232550240592105,3.5973687388408226,4.445801650134323,3.0762486553287576,2.4614006071202317,3.5254005713400605,3.0827401846798175,3.0470395650558104,2.9306667981651637,3.4269554069158024,3.2962752122660453,2.0750590832714835,1.8944799349213943,2.7366628310315444,2.1990185482935387,2.4017611484714005,1.8830785309093816,1.723284358605353,1.7301022907298356,1.872216551841613,1.7385506629222989,1.764769489074556,1.8222689032474078,1.60825527813502,1.5599055371620218,1.47824218378198,1.5895720372334294,1.9038543780637653,1.5659535678517515,1.754003803757887,1.5548472689514745,1.8924564075254062,1.6184301352129296,1.6148650981969659,1.696087031241903,1.7491142425261843,1.6590774625240743,1.708626531630057,1.7569584349004712,1.8368349482504025,1.8365148881344844,1.6329417109878328,1.681650063295756,1.6705108522738932,1.6585822080568797,1.6176947668656183,1.5886209617722113,1.6684786552408046,1.6784841728792237,1.5103355732477926,1.4502340441622297,1.4320047202754937,1.4557342073217043,1.3959560048007233,1.328499410819431,1.2896558038113264,1.3946823050117239,1.3418126919514728,1.4013067307960652,1.4329261283426609,1.3989994163266541,1.4165383624363062,1.3602805393216504,1.4681753005030878,1.2701689996108947,1.2522320601482986,1.133049645770038,1.2866085476789577,1.2244709200491606,1.3195137448989658,1.3666790190542937,1.4388818436457822,1.5211405878145923,1.6160806970950388,1.6664697176379113,1.5669755866086226,1.5635526442869616,1.439878739832725,1.4100664617530383,1.297250394519578,1.1811933262303642,1.2546078618068663,1.0594467006961559,1.2180084702563891,1.222512726936494,1.3291486249753495,1.2881112164565507,1.3060136999422969,1.4134613830051688,1.3767615333085443,1.3997050927245536,1.4178044181974874,1.4442262103893138,1.3983415741660499,1.5289129060675166,1.5098080716921651,1.5403514696578242,1.824951686833852,1.6838790998181952,1.6056446885741567,1.6254768689331311,1.5494660343595976,1.5123355474444884,1.410016445818268,1.3822873815234424,1.2757744885020181,1.2461406536323594,1.230525321790063,1.2968979500936593,1.556909032680303,1.483150785933762,1.2680207771578196,1.2952035618138182,1.2871098464146395,1.3827933298184616,1.400589525736226,1.4536893099316364,1.5276479952591824,1.5367662402059032,1.6013384012315135,1.5400933763583924,1.6293544491579894,1.5648012871473007,1.7172358878007339,1.665858493800357,1.549694237148908,1.4716259512488672,1.4769635528666236,1.492880036072068,1.4973635917054147,1.5056403485537386,1.4767596443837132,1.5051758499226542,1.5224893496184304,1.5553304402028079,1.4989904809925616,1.5467859880879211,1.465590943989469,1.5347804024775236,1.5565114637707071,1.5643915846398935,1.647133659432777,1.6844956722888682,1.8633461879480737,2.2465942143368567,2.2650608013468614,2.6281580789547148,3.0376186506245073,2.258150168756954,2.083722247493687,1.7467848813269624,1.6594233041143966,1.4898380040722994,1.4175166970285444,1.1820317735038535,1.2673498139235815,1.074630955536245,1.042900440323658,1.0393681258720342,0.8722420135351971,0.8315155947631137,0.8211700932472339,0.7411346034067142,0.7093015296042577,0.7621456731966417,0.8404074411860372,0.8124470972246073,0.8470358143412173,0.9746992214384236,1.0461159256596304,1.1514770728524473,1.1404745983716456,0.9859327924910983,0.9585790259404616,0.7782614726084937,0.8081609030718687,0.8636515943136734,1.3081019952178672,1.104006189967418,1.295482095405483,0.9945401910356808,1.0314508609163757,1.0780889024541,1.1601950605675684,1.1524351282919831,1.08731659635452,1.1423575276121833,1.2930896702323202,1.17527213294784,1.1978926262414387,1.6628959068867217,1.5228420626243646,1.2616115204773808,1.5624175068479922,1.1267861196076447,1.3249594378271299,1.2563118209786184,1.0853630142719248,1.2049776883761483,1.1044123945090025,1.2561081593973422,1.130511002280354,0.9952099322597616,1.1301031243417907,1.143876206915268,0.9009034077290814,0.9197459531188447,1.019450822861894,0.8604730382756774,0.8119273478743192,0.9220776401736779,1.0534910045022416,0.9179374558306793,0.8744354737829656,0.7722108009385795,0.7436731112454739,0.8024695651261563,0.8023263065277627,0.7417951101125883,0.7242108392081962,0.8355385645978685,0.8066234658156081,0.7788597395100508,0.8432570997276224,0.980272716000104,1.0591692329601476,0.8764436642800407,1.0628098413723002,1.1154078167689305,1.3894865926103952,1.2165052241312657,0.9633855007801869,1.5158079020883315,1.4232719521994912,1.0887549730237038,1.0164645968496424,0.808845067637408,0.8675621634755445,1.0626530372351586,0.7441934038681484,0.8394025793752001,0.9159536251719077,0.8858073625931338,0.9295426401293369,1.0806281917319454,0.9980446528090106,0.9253165185441065,1.0608040963341445,0.9595678009625653,1.368587949213859,1.062001573028385,0.8483013903627089,0.8867873593229418,1.1815274621414966,0.8295147509134032,1.050856438823063,0.9848892010617462,1.586874081231636,2.04755849970891,3.0444891012136406],[0.6336420569019215,0.6557125096829436,0.7882020821879269,0.6839859574255162,0.770289165924709,0.7707569316807328,0.8636776709233693,0.9175312365306556,0.8735040588195311,0.9255106418479861,0.9138444256035223,0.9799980956461404,1.0430449111207818,0.9710672700419201,1.0839111563442105,1.1016747490271592,1.1140840753150898,1.1825440978262602,1.2605751801633251,1.3290253603567408,1.4088992944221885,1.6340200117302477,1.5051693009580611,1.7407653009002857,1.4885694011643875,1.392904123095531,1.3687683973746563,1.2537491019909248,1.23061142805932,1.1710982920866237,1.183166278992675,1.1421148651998114,1.172886079837775,1.2064332324230236,1.2317977267533098,1.254407003815162,1.2812894182280716,1.3210552362542425,1.384975955251161,1.4542142583685909,1.5067318449999934,1.4464335411715659,1.4670962408521464,1.9232850370642318,2.825143011001092,3.3535142988453925,4.25135469890991,2.8268222672581858,2.2408428812528975,3.342883618420648,2.877444908165531,2.848120640271814,2.698286102543283,3.2702407525754102,3.338563333591626,1.793687970940871,1.5901910461418556,2.5860429978059725,2.0286871672132336,2.173995103927744,1.574616415611107,1.359269080909944,1.3489120344482046,1.4844338111716544,1.37582545631801,1.3797450117593724,1.429050691140658,1.2284962422796666,1.1930038731799903,1.133557361439279,1.2748063906585339,1.625171118794681,1.2238693789918293,1.4390205609104192,1.1876038732979461,1.5386346762962737,1.2458425269907698,1.2535742472959743,1.3436885563705092,1.3926410585461462,1.3405170786009082,1.4439768001896625,1.4841158646415817,1.5986601856920084,1.576462076146054,1.3429767606194039,1.3603472958909313,1.358705827442845,1.3014776044666503,1.2735671218374012,1.2305020420992863,1.32358159357282,1.3478281498899458,1.164927360252003,1.113417930028957,1.1070680762351002,1.1483721212083193,1.08075112518054,1.0312151153130777,1.0172098286197595,1.1055663873132067,1.1035907918621084,1.1295617171038221,1.2080596119519245,1.1987690064262633,1.2444691119788203,1.214685939724336,1.3441502457818277,1.154795506020411,1.107991387784535,0.9805503597345477,1.1075029593820047,1.0157522697194281,1.096290448034958,1.078093247763026,1.1474207452561047,1.1809363094724619,1.2682996586421418,1.2815455789595918,1.1985137360564153,1.2015757802116749,1.1068324560391594,1.092319862840399,1.0038928648643666,0.9267751548425722,1.0551436801723035,0.9056661674267189,1.0708622737787947,1.0969282041401562,1.186155327139367,1.1979820286458536,1.2177683764580913,1.3123339528902689,1.2457173216525594,1.274458824764173,1.2807536124918308,1.4002850569350498,1.2542932428686215,1.3157432354339011,1.2788913233198478,1.2846544609408206,1.5254001275077398,1.3463524738768442,1.3081886135649932,1.336056331958356,1.243963643758712,1.2208399857278742,1.1311468572569585,1.134429948190969,1.0292818807939623,1.0359197215745983,0.9977579803659348,1.1015622503380769,1.3535365753914257,1.2454516920643404,1.015728664310507,1.0354616500356688,1.0524401406524577,1.109229518872335,1.1714538168666722,1.226229918310965,1.257489917179526,1.2946355729476289,1.351231977736953,1.342182707649037,1.4688591632047332,1.4424887995633358,1.657905850768424,1.631415550824668,1.4583178378246209,1.3615814437181288,1.3083144016456798,1.3034725701465655,1.2856968260132238,1.2661693148569513,1.233095086553218,1.2267527500850073,1.2532708904265808,1.2980178348394753,1.2704630160821797,1.3619304949188986,1.2727891684907653,1.3797418841679159,1.4094459218805486,1.4110495928964748,1.4639120819596156,1.45598358945204,1.6712015466680685,2.053470164051441,2.0875522988693196,2.5090975894134506,2.9187989254169633,2.167346095412803,2.0188911839968786,1.6880793890555652,1.6272312499224122,1.4501116874703686,1.3760768390622278,1.1483427592068831,1.200234596726155,1.0327988065368208,0.974005390251841,0.9575849520778889,0.8326244649625011,0.7940431616325443,0.762385748763057,0.7022809147618975,0.6847331912325023,0.7117929899180431,0.8045587648973129,0.8041352568402824,0.8306018499915274,0.9461383583743262,1.0476767943921865,1.1563188720429882,1.1392879426712061,0.9638383207634007,0.9497131088697567,0.7624968898202715,0.795925380430441,0.8725807667369397,1.3052690299744396,1.1319363634691957,1.2787294133182603,1.0008053303812092,1.022075509931875,1.0424769357575308,1.1600543428229837,1.156317838376537,1.0715569858651672,1.1302439489782032,1.290100279537816,1.1672089149404865,1.1899793371468765,1.6509248125102522,1.5197847573532717,1.2611465065678098,1.5419971820842742,1.106830334488305,1.2931444761838626,1.2221029510549717,1.0540366984163005,1.1642538020538085,1.060621841833824,1.1752862341082826,1.0768951382171692,0.9408255503959932,1.0278867218056322,1.0454547484857362,0.8331806917314101,0.8343134008699211,0.9246957900511144,0.7851633855896163,0.7513803568309714,0.8406632459309699,1.0049339333970961,0.8696730437019161,0.8280024410104939,0.742642528480321,0.7111751879677717,0.7672011952245131,0.7815997778682416,0.7257388108793698,0.6996535619173507,0.8144435233461209,0.8037833509401658,0.7726598704493811,0.8322871580245307,0.9890583203011674,1.0636620533912584,0.8673726777462192,1.0629615676078037,1.1303291291698054,1.378727596773641,1.2134214856432446,0.9596895417339127,1.5427219786622128,1.448918028325552,1.0874301417679961,1.0261550403475304,0.8063599084369855,0.883790895266219,1.1133997204618336,0.7510081156622392,0.8217371908458108,0.8928751194757631,0.8625849140371293,0.8703348098438908,1.019834371478022,0.8979667375630281,0.8319879437593639,0.9440156148996692,0.8496999932685639,1.2266478180433447,0.9491662262652782,0.757235308300163,0.7694108362547584,1.087657438067625,0.7188092266157601,0.9787802394631033,0.8271585582532474,1.488221712266211,1.8801936805124666,2.8929440888293896],[0.5469911896291004,0.5792108651271783,0.7194450553333727,0.6287477785983089,0.7311874327082948,0.738874460185926,0.8431403816205967,0.8988329161092217,0.885593608106774,0.9598137932019566,0.9703888264678897,1.0179984651091858,1.0918686812582248,1.0490985984585481,1.1769664825717945,1.1752420175873468,1.1969065850724412,1.297397491424659,1.4263550595661898,1.4597320339594788,1.5651789004031205,1.7764208412234976,1.6641028931250197,1.9327753430689822,1.6060881404647749,1.516185846547128,1.4702356218539128,1.3356197606256373,1.3117961916696215,1.2283101169624773,1.2914034628692117,1.2013338104345594,1.2495364896695558,1.315282362720513,1.3206383716576713,1.361245429222726,1.3353433152916157,1.4060279233317396,1.4615002861276865,1.5429215657090087,1.6031978645011233,1.5904798251665209,1.6723273918954278,2.2230976826226336,3.1079145383590645,3.5621537801242416,4.633697055220758,3.261940974406339,2.515426703602502,3.7403564061785177,3.3782068118329414,3.2690529811903626,3.1759729030281214,3.63997376992209,3.5744507508150587,2.080980539613883,1.895768393561105,2.850613749965468,2.257184525841118,2.4520288149094194,1.8147456121587007,1.5757564500397019,1.527667359009664,1.6906266378729526,1.5779849266955168,1.5499974836477384,1.6119231364080886,1.3898698237710307,1.3652760545324487,1.2865923218930702,1.4324338505134997,1.8165292367481405,1.4084425294647664,1.6291811753780936,1.3447831215107424,1.6695127638598193,1.4135658414210124,1.4160186847888088,1.486669435819421,1.5302062865720116,1.4320928168164362,1.5066212199799875,1.5207840750002681,1.6512948093406083,1.5915724654636032,1.3908748397925477,1.4467451148809178,1.4252899044405083,1.4247080348117496,1.390453505859001,1.3792576316258984,1.4697759522334353,1.495902083189514,1.294870423207139,1.2225338472682288,1.2306291696133738,1.2516213243866612,1.156382225668089,1.0787687584242602,1.0356905094330162,1.1276963016848627,1.087199296219346,1.1360553488064467,1.1699989681456546,1.1712834223270536,1.1984879609601677,1.1841695104634715,1.3322385491720063,1.1116223569913906,1.0522336786309454,0.9371290518894659,1.0509778087187456,0.9800767392394596,1.0507550051619439,1.093854827055952,1.1558079622120991,1.2341627946826668,1.3342110810923482,1.4160708786804692,1.3204614827705363,1.3245274611268851,1.178731248810215,1.1350740670269375,1.0136470853953932,0.9160276599094884,1.0055330662624642,0.8732650103378526,1.0202926786647222,1.0380188373223698,1.1370613379235852,1.1271621325213452,1.1685422272510644,1.274162473898611,1.213043760719302,1.227279769020253,1.2110943536862746,1.3488722506594624,1.1662601663239314,1.1665422451190823,1.3325599982593284,1.3414066906966957,1.577958805748195,1.4273100167883093,1.343962468697973,1.384483884004962,1.2902181078694228,1.240338770325811,1.1347892599649796,1.1085689503750675,1.0103386388166447,1.0001559383677208,0.9852774080602857,1.0927402074331902,1.345704519103176,1.2432821521441,1.011010722185039,1.038212073464865,1.0293288651113899,1.1078508681960442,1.1454642824895729,1.2068992506257052,1.2734422770925382,1.3054027861517965,1.3845064319945208,1.384322546727374,1.4930999804146852,1.449963683891264,1.6885766924731351,1.5979757361868232,1.4039969858112615,1.31981338676425,1.2948163022029693,1.3025415756466894,1.2904746131680076,1.282618490799536,1.2336149510284264,1.243618269844637,1.268437606791286,1.3293811420307957,1.2872083140139854,1.4397658113146015,1.2444157942872522,1.3623093105134219,1.4011212204664285,1.413827390318212,1.5102698338868732,1.5480042174387567,1.7841227580498003,2.1654673979491843,2.1561989310847287,2.545627884647424,2.8325851206111814,2.1373178808860356,1.989921260006862,1.6914175882070064,1.6422811840281488,1.4111530661559144,1.3331145370159765,1.109325937785874,1.1191989654822718,0.9796566300039137,0.9102783555172022,0.8887597588494008,0.7822834896288466,0.7453691591136427,0.7065052024432519,0.6624857028015191,0.6553272362325321,0.6561035825451653,0.7624246641759003,0.7843009959139016,0.8103455637957953,0.9129296145452054,1.0436814476168745,1.1560376697446877,1.1496452430433874,0.9459790288138508,0.9700512726802144,0.7647515113900522,0.808263118667012,0.9170004257188461,1.3265208955290126,1.1982745827765664,1.2725637386768762,0.9992847769624577,1.0132097379141647,1.0142138964143665,1.1696432271721433,1.1788581975561379,1.0533817181966532,1.1375840850866685,1.3371405437463737,1.1984633022703686,1.1921021285120776,1.6340726496602007,1.5374454379633147,1.300835270077328,1.5099855556703388,1.0829610162500403,1.2607355843950963,1.196815480351111,1.0216783046508375,1.1284634144396777,1.023939367041485,1.1250698602338969,1.0350776470653653,0.8946166336390257,0.9524626016335352,0.9807639475430237,0.7696151720308956,0.7640767041804728,0.8656271716567626,0.7299726446379944,0.6900068174934535,0.7926660119185038,0.9918078000036631,0.8296969636613093,0.788636445974115,0.7144689956740682,0.670050504362909,0.7225286321349196,0.7526641609068551,0.7057271854664053,0.6686538400860432,0.7864388095695394,0.8070130842626896,0.7728322335717087,0.8095025125649127,1.0038119394083072,1.113518168285063,0.8552561884038051,1.0461928116547408,1.161684461174814,1.39365146679758,1.2112820162584752,0.9073249671256262,1.5299728847091292,1.388748714532504,1.1036146200828154,1.0239787365411397,0.8018267878940278,0.8839681703171133,1.1114980101305834,0.7397310880414417,0.7689408410224334,0.7941262475349745,0.7965176127530224,0.8064038404248269,0.9541469010150669,0.8460438910041427,0.787044183033377,0.8890931002693436,0.793828167742141,1.167867224990346,0.9124371561906366,0.7017129178150642,0.7250510988223845,1.080367229193867,0.668174187129655,0.9411251648937226,0.7507631053693032,1.4267365177951146,1.8140274311117275,2.8199086270763654],[0.6701745965045712,0.6955953434865587,0.850169976570882,0.7609981476736415,0.8635784825814746,0.8984518641991649,1.0104970251633372,1.0827222924857174,1.080172488960103,1.171575064229236,1.1938418027934556,1.2460994834422756,1.341646130972596,1.2746457803615856,1.4094628556609592,1.4269021936601032,1.4442455041925835,1.5528000237971598,1.6783723626572233,1.735618765042069,1.8287728233866132,2.033334405059376,1.9068100326506607,2.200282720311563,1.8681930527554493,1.7747996456477344,1.744610469961896,1.6009884496640814,1.5791573983245837,1.488421211045719,1.5480138090867794,1.4650992772184097,1.518817634929334,1.5859874513349306,1.5989807886769796,1.6406229228523548,1.6083470500488757,1.6808067831750062,1.7474823555556769,1.830392635655135,1.884904497649595,1.8739403054038613,1.96185465205919,2.4795669212286557,3.3206972985145176,3.7432525057703545,4.777411944695976,3.4750135439154186,2.730253932247753,3.9091722241643367,3.582455246133544,3.496262963394938,3.4230602041895737,3.8392722494849845,3.5907402564047812,2.32914690374924,2.1584486929341935,3.0110968115846486,2.424305940339517,2.6761275220091267,2.05665136998173,1.8481287044369472,1.8103407874469677,1.9538785363883582,1.8364462215511208,1.8325986535720196,1.867625542903698,1.658601377292644,1.603690674731314,1.517017719868482,1.6380975408638385,2.015863091479623,1.626911224976269,1.829000388390929,1.5959232190109323,1.8872103855358147,1.6915789654878457,1.69561090386019,1.7701000697641842,1.8274557157496685,1.7163862776126309,1.7840675213149966,1.7718558750363318,1.9153254331255634,1.8517696760369369,1.6712198523006994,1.7325951226768657,1.705588751402042,1.712465301647504,1.6681470400086567,1.6516246605178941,1.7118529363053518,1.7387567488006526,1.554939159826748,1.4750174296534846,1.477308746409624,1.4707111824472556,1.406393759563964,1.324233806284976,1.2729436861369432,1.3822625043727057,1.3154095836902862,1.3972874196853715,1.4145374039681906,1.4123545105145556,1.420066105976457,1.4109467970055274,1.523297294887323,1.2862847327914637,1.2424420557507645,1.1116327407854272,1.2400849708600008,1.1649363028890838,1.240222010197432,1.3186013010379698,1.3678697811216232,1.4828453480619295,1.5731447881147689,1.6585469294184167,1.5620830336526255,1.5447448942217015,1.388883622541041,1.3221589431587832,1.2028875137526762,1.0931698569168204,1.1818743762630004,1.038537478085693,1.178707752878304,1.197986175090373,1.3411017172643622,1.2813966326918262,1.3364384142765846,1.460551655037261,1.4243824202788682,1.4227486903760842,1.3960571310505359,1.44984097557821,1.3591805140407847,1.3692571491006855,1.578099675700914,1.5912600754460438,1.8354972546661257,1.6924162488400762,1.6019025351308656,1.651465446540526,1.5559438846074964,1.4911966394408491,1.382526058955465,1.3420417416183439,1.2234722960403162,1.1984009514309515,1.1841251016019123,1.29612637282293,1.4552919167271563,1.4095940322631975,1.23321099623193,1.2669419545551295,1.251091380229319,1.3576582237797452,1.3879141287967582,1.454920938838522,1.5385955603691415,1.5622969418653097,1.6533894228645833,1.632768714324926,1.698311686494694,1.661682947512077,1.8398708161173598,1.7264415268143702,1.5840770967017117,1.5173626776724791,1.5138659534525207,1.546324845945519,1.549211521640929,1.551748560238851,1.503480118648669,1.5080526332423179,1.5410539926071,1.6118340511325915,1.5555630178650668,1.6732728161482775,1.4964236775515454,1.604153823807319,1.6419273513814294,1.6584882022915888,1.769293843766739,1.8166771564983828,2.028508419201829,2.4049804331925415,2.414895805553245,2.7669715769139644,3.067918700611009,2.311424737601755,2.1296399243442057,1.8332929599131087,1.7692030428047276,1.5327797664670897,1.4700225080327007,1.2240545613387,1.2608227069364812,1.1186482535799847,1.0700091363608983,1.0382074975207818,0.9033849174240385,0.874728194902762,0.8428565266655417,0.7665705091016395,0.7447566998449295,0.7712715819790765,0.850930228066253,0.8339524289920206,0.8522562964542565,0.9689823379191853,1.0630985653274863,1.1611057814357413,1.1573701989969734,0.9620771175958756,0.9739249220537005,0.7933388459852398,0.829864380334322,0.9210364337769549,1.3191293507684083,1.202288829374794,1.3047367281624145,1.078270030951934,1.1212581655392118,1.1397204491692572,1.2682776580190533,1.2526054905440072,1.16720333382439,1.2482066255733653,1.4121630772244285,1.2636766922118807,1.289737003884839,1.7684037641607926,1.619105211168851,1.344934810706967,1.5974781279269366,1.1853939212704387,1.4063865110097815,1.3451640379436565,1.1710650638363336,1.2858790126978563,1.1648722425620681,1.3142204533951813,1.1961946487472717,1.059809289803244,1.1393219132096097,1.1428803808306525,0.9298965433643325,0.9231314748861981,1.0085164545986913,0.8601076206625545,0.8157105843974969,0.893712474871699,1.0456393851504826,0.8981815086287795,0.8509419842105223,0.7778132744334201,0.7677803867091582,0.8550089524546214,0.8692968373913423,0.7838395966730597,0.760734045566641,0.8904127518440017,0.8682708521982467,0.8233926128100352,0.8931325444961348,1.0660152942580392,1.1087002955158007,0.9034070292538225,1.117478245018866,1.2079222820046196,1.4081933224450325,1.2459318763997569,0.9664805662305538,1.5742266660229152,1.4362800670938396,1.101362821448689,1.0416103269301609,0.8396312054619214,0.9230395314257223,1.1414113979805431,0.8001721586843077,0.8342618591060139,0.8845319250853976,0.8823504162715315,0.9211227597550115,1.0812263669559588,0.9882955395968525,0.9020711987712373,1.0336582377990067,0.9464771740462458,1.2696903961948451,1.0234062603142935,0.852817037114036,0.8644949406587943,1.1332440946095261,0.8132515362124747,1.0206984097972795,0.9310350844946387,1.6056923331389323,2.0178859110371326,3.1017769068632326],[1.005164292097226,1.021875938563439,1.1537593199701281,1.086223036496823,1.1415758483488443,1.1539159120789344,1.2139381979044188,1.2657978101139942,1.2105977399677978,1.24283083230684,1.2366437994939479,1.2987155811454911,1.3701061187263701,1.262557720141354,1.3473930824521383,1.3861746354749733,1.3878747975064112,1.4316632467233363,1.4803064807936204,1.5791812637395624,1.6060646197942035,1.8306878144058956,1.651619103280408,1.91928729858248,1.676950533466946,1.5810147672795074,1.6340495249906586,1.5355483365577027,1.5200265207506574,1.464314071400737,1.4473082057958333,1.4444216628996578,1.4696497195384977,1.487494655632969,1.534331774879426,1.5517667329583487,1.5982291795895447,1.6386139419559034,1.712599570996923,1.796315655189651,1.822439414637532,1.741604851056659,1.7939305086740984,2.2935085043667534,3.10646584818377,3.596209803519669,4.532979745200957,3.208248068718421,2.5871207608420694,3.6997378808143884,3.3090377916409355,3.2730406714888374,3.167514449328823,3.691541580492201,3.5370313054517224,2.1592340089306394,1.9623369680367255,2.90660201346952,2.307815704390199,2.4961946635084202,1.8730850364830787,1.6458801084453816,1.6102966001381915,1.6879023982981718,1.611901499644798,1.6405659684021638,1.6188697315390412,1.4569524607031803,1.3734473850563307,1.3315296810575918,1.4406903065195416,1.8015893849321605,1.3991059608204672,1.5986800365396558,1.3877093831681366,1.6477711937785122,1.493177621134831,1.5187410222798199,1.6251381460331595,1.6846565727496905,1.654016340910696,1.7645711507115016,1.7885496518532062,1.9587947012628806,1.8852217067213493,1.68184885424755,1.6725745101976595,1.6649488616893289,1.590352899036,1.5478627665603044,1.4976330335000945,1.5279994955880574,1.583958764453096,1.4335549790496536,1.3864683050344602,1.3832006067923714,1.3935516438739781,1.3666276370027635,1.3427866362254197,1.335151629458006,1.4289698464530642,1.4218487715983474,1.488796370305472,1.564375902669194,1.5692239544224464,1.6093676405910693,1.63360900031093,1.7336084533806362,1.504305953753399,1.4608808675342155,1.3479968632860047,1.4316045441103886,1.335838228111702,1.3793374712803042,1.3854301141837209,1.4175604956715198,1.455589772893544,1.5105218841514285,1.4709582237290773,1.4297315941960664,1.4206311131113798,1.3339990870670926,1.3107108022818794,1.2621563342348183,1.216737237145723,1.3578822565462332,1.2792579914349287,1.3817924228982823,1.4107070698806652,1.5324827989885303,1.5035292432675598,1.5434626852456865,1.6434284184903387,1.6041549840863574,1.5988943133313187,1.5651326517001243,1.6280894122562422,1.5461198574550388,1.5189797141213293,1.6764548678619449,1.6277553480868212,1.7882872176122804,1.6322257795402206,1.6180141523796228,1.653315980601847,1.561431497516091,1.536346132784102,1.4566319036977324,1.4650427181483758,1.3550810074269084,1.37718628250205,1.3312242160091736,1.466207246289026,1.5544594181131295,1.4719714606091712,1.3383368318044888,1.358445122862879,1.3837002698886387,1.4486176455491353,1.532042557619542,1.582912214628704,1.5966151789386025,1.6360159065257827,1.6991719965296714,1.7102479330341775,1.777398028586899,1.7735703110720002,1.902427452935763,1.8352561431363685,1.723146597017702,1.6750240235667437,1.6479399838505169,1.6667371442005396,1.66070453667044,1.6430892408384679,1.608008687639817,1.572299772413615,1.61475671011027,1.6816707935139565,1.6523468840646653,1.7496920023105251,1.6571822288298346,1.7509667356085807,1.7703342912106976,1.775217417865031,1.8209514869073347,1.8265631822111486,2.0145673665188952,2.3877045200156006,2.445614071667957,2.80924214843596,3.195672602729646,2.4205425741998243,2.24124567773809,1.9533010198255185,1.8818605919063705,1.706139466512136,1.676755939735674,1.4560998695397787,1.512800159131968,1.4012453063105144,1.3615982969814504,1.3201652751534134,1.213002093949212,1.199360032423494,1.176570790535257,1.10922558601508,1.095383614270402,1.1229652333421762,1.1655959683035164,1.1318902640156456,1.1438337816803184,1.2233438263866672,1.2858698318879676,1.3564036532257053,1.3491069480647546,1.229014562159523,1.213254974664407,1.09661411981364,1.1349664620917264,1.1820435093188664,1.5172866222659132,1.4298222301447177,1.5290018551914393,1.3660474058089795,1.4124670831410284,1.4124697614871384,1.4793305563213053,1.4826212203565867,1.4292019425030564,1.4706241127211068,1.5824580706129117,1.461681192749232,1.5004304117410219,1.9661586822087689,1.802120071842374,1.459310887106,1.7589152368514127,1.4200179618288638,1.6267069259876916,1.5842322999207805,1.4351960402866535,1.5366449965034779,1.4473398301193305,1.568991441104808,1.4606333094153998,1.3671361514543916,1.4137769629783548,1.4072519655472495,1.2593252728973487,1.2535238352307123,1.3121008575336128,1.1827371599517444,1.1560535300706531,1.1958740853141068,1.2808413097060645,1.1761343415819363,1.152397143606636,1.1096206543236615,1.1359794598039696,1.2189335992117527,1.2166380357941955,1.1309794826156057,1.1171434258591928,1.2212693352837625,1.185644151957267,1.1414952397244225,1.204958616265276,1.329366146488631,1.3268221035264738,1.195781212877365,1.3726763974912248,1.4326373615278922,1.567569935736243,1.4485812629530166,1.2409498640250165,1.7574207897921623,1.665877230116413,1.2889766180692073,1.276559772342002,1.1276029022759348,1.2033151711032575,1.4035181692425005,1.1200180019160628,1.1301028049760138,1.202676505027978,1.190656157184726,1.2124105046495923,1.3491988383880649,1.2572777313624606,1.1855658091731627,1.2904606492434023,1.2352284502979245,1.4236390711515448,1.2462509759303688,1.1845783486652275,1.1510017518897415,1.2974805318019065,1.1138794887535912,1.2669079338399933,1.2490402250498136,1.8859862927552802,2.2452247800807617,3.3511910704986487],[0.6700748118118778,0.7117585591244379,0.877484717081043,0.7822512808011987,0.8556430877007051,0.8520514467029097,0.8958605849431054,0.9592809856768256,0.919699279183748,0.9724671002811459,0.9821370173177099,1.0339177904843468,1.0939140146872441,1.0295799660583451,1.1407284121838996,1.146486892725786,1.1502546217835945,1.230029205579162,1.3108363102796685,1.3424100156261976,1.398215982089524,1.6222181277489864,1.4788056934258094,1.674392509065322,1.4507928333972588,1.3575396970937375,1.379354498607287,1.2802121186865894,1.2740223359435543,1.1931403334800823,1.250507114059897,1.1874769666899863,1.2330612968046908,1.2722850048762897,1.2901652361457443,1.3113183267722814,1.3279798722198368,1.3913144884765865,1.4350751316606096,1.5474143048336377,1.5577059056204026,1.5132208176005206,1.6138822404532147,2.2246316050595034,3.0191906002575335,3.4924130299890344,4.617658214542611,3.2831787527988885,2.5617980364677995,3.7937502247724266,3.4663826382319907,3.372260198000225,3.265664744187957,3.766686419784455,3.7365482715988394,2.09797182507775,1.9288329829362978,2.959222884390852,2.339183593250602,2.4593710026338558,1.7803038324858742,1.5083609160190323,1.42935885561769,1.5184778847457052,1.4707519413803714,1.4359695692533956,1.43698643420158,1.2764988696961794,1.2549679066038395,1.2034521223733472,1.362566569879409,1.7661666579276694,1.3209614937265042,1.5475279333016076,1.2389696236443009,1.4970228937822945,1.3205196160753554,1.3416704071631351,1.4178324432854579,1.4572627673382297,1.4182944213272524,1.5272722374771253,1.5357929707283524,1.6963951252444551,1.5910296630889975,1.4082175561392558,1.4145130924281364,1.4085081128333683,1.3597107818864558,1.3396004882229218,1.3195831612382347,1.3775524641754842,1.4391374400462322,1.2504317135721688,1.1886888991941769,1.2051401161192132,1.2123515388802788,1.1423041079902647,1.0948923204518075,1.0655193201460036,1.14340782568137,1.1444660071221922,1.1764547366166427,1.2260329700340817,1.272090552567918,1.2793050369257224,1.3080124931409556,1.463025907443793,1.2267325350001923,1.1450713736339524,1.0295805369829136,1.1036572329115424,1.0185422634103405,1.0565089069695945,1.0922979891961464,1.1268338456558873,1.173331743379223,1.2461099231676094,1.2847671071347697,1.2238735949977988,1.218226127105263,1.1166841520819664,1.0715589081087675,0.9875822976249722,0.9134777230482385,1.0402330296378106,0.9936217544829103,1.0776861787853302,1.111813331054703,1.2397904111510958,1.2079938159178616,1.2755683670591387,1.3825421128766038,1.3276453349274644,1.3191030179939593,1.2629467905316831,1.382325549959695,1.1945296375243484,1.1373609067417396,1.422724750593575,1.36025546212357,1.499028032288087,1.365244855561878,1.3165022572222136,1.3702018985188447,1.2790821099440155,1.2309236353135196,1.1458318627018584,1.1358728087431824,1.0372036325786897,1.0538659593290416,1.0311257557223859,1.1902267882777828,1.3193762013162085,1.2181781271039465,1.0607154884251992,1.0797442207258479,1.0788696024633162,1.1410562611791046,1.2102699430362267,1.263114061781014,1.294984226527699,1.3380495141347506,1.4268076534486975,1.4717837930009838,1.5630889973958844,1.5306669522805716,1.749085654437579,1.6435974193571987,1.4578897186646995,1.4028517178880007,1.372133089755952,1.3904599537580673,1.3743045847393636,1.355162480237574,1.3071112274853909,1.2684250721444565,1.3181991517372849,1.3898314089873693,1.387575302143536,1.5654133168477047,1.3411204561070063,1.4678324181557578,1.4972240882847714,1.511967691906487,1.5767848057022957,1.6002683496909273,1.831322640159764,2.183549752402147,2.1980714999135653,2.6017280948387347,2.851528983443845,2.1851585631234625,2.0361797428937605,1.7653797966849356,1.7444794670732087,1.4767467419961682,1.4192043147367759,1.2032137270479522,1.1983382533198828,1.1098757943475583,1.0445300704406604,1.0058239131262763,0.9174955133341041,0.9044169742062197,0.8609253810598494,0.8090005437570217,0.8095641006506864,0.810526700243557,0.9052331267634531,0.9063319505270286,0.9143766451810602,1.0098437571370185,1.1224536290703202,1.2258971219490413,1.2332740344280848,1.014524889251052,1.0363461213795206,0.8611758717918042,0.8958630092515145,0.9955833068205077,1.3538940864326072,1.3073744657542516,1.2966286507331484,1.1298994769859294,1.1684603435396173,1.155330611389129,1.312031702456728,1.3122571462849912,1.208547343158949,1.277716432682907,1.455462645729149,1.3037499198438338,1.3092709397662425,1.7695723007027095,1.638761471269741,1.3776315788557219,1.5828590473225805,1.1883470882493792,1.374390117476912,1.330816447707617,1.166991513666195,1.2588856529928318,1.1642674104102713,1.2659883383364474,1.1726871730501525,1.0670012837770921,1.0991488493178148,1.1128553993206967,0.9321858339389447,0.91703718196584,0.9853726571339041,0.8649528002014718,0.8330725619786352,0.8986504916889456,1.0579761545841475,0.9294007946461634,0.8859944608239863,0.8275799520456613,0.8171029901347039,0.8907457470241084,0.9172532811949315,0.850866754092612,0.8191976072014258,0.9341899712162433,0.9315081330334083,0.8862897756577371,0.9343581696315439,1.122062149142691,1.1611662817112982,0.9603059996622234,1.1542658701049744,1.2699787366282007,1.437987602746903,1.3000214533603889,1.0233845500108143,1.686488756225499,1.5250936371779353,1.181907965530797,1.1324000402978178,0.9310193980075384,1.026893121672387,1.2915164485573936,0.9228622476978402,0.9000899712999405,0.8962251291739503,0.8917445479033458,0.9147301741288995,1.0443343432572545,0.9486379134664267,0.8803469342195934,0.979245290355547,0.9117136049162945,1.1810094374023439,0.9672761398206364,0.8504865993502149,0.8321850007304548,1.0779501109171439,0.8015947271665552,1.0065143679321367,0.8698530483990513,1.6032363925459148,1.91632425799161,2.9874922254153176],[0.5827005258286005,0.6206469155144065,0.7876461613012117,0.6899280872815148,0.7902377110575245,0.7806057450706664,0.8512703751514069,0.9224617929996476,0.900224306449422,0.9757497272877771,0.9941788625106575,1.0428446523056725,1.1200653913812573,1.0658405791691266,1.1980682638671478,1.203962998343811,1.214853970075286,1.3263554320714885,1.4462741433859159,1.4808884112023541,1.5794319175511777,1.8058181840517993,1.680741457985773,1.9167976781825518,1.6220334176682536,1.5141636799000373,1.5027001529279072,1.369436447527301,1.3545389112111785,1.2553583545154385,1.3321919265772046,1.244278822578681,1.298105235980722,1.3657437412630309,1.374527043354524,1.4078620855765094,1.3954825753488629,1.4807023958485845,1.5310728165625433,1.6561402596116725,1.6770154604624212,1.6668435301095663,1.7928233017961086,2.4182482325474886,3.1958583970193355,3.601132434281393,4.8282841876545195,3.5435157853506567,2.7252812777292013,4.014264706328359,3.7646487870799796,3.6478371054874974,3.5593294089148193,3.9666048039770163,3.841709052402815,2.2982892173908427,2.1497186698092383,3.09823443294415,2.466110494824554,2.635999011168561,1.938798803611716,1.6719707288314336,1.5954215390727176,1.7303017140756038,1.6577501804553427,1.599596494036061,1.6135256976045218,1.4230761024160967,1.3841207870414678,1.3049628470736179,1.450868875181501,1.8626130377345353,1.433182548936184,1.666953778083607,1.3692385175442676,1.65771317712068,1.4687942407522983,1.479779850698214,1.5524979214273749,1.5991880693768485,1.523481308926349,1.6217534293150315,1.5975070588613425,1.7666272097702955,1.657941785028457,1.4795907922008875,1.5218114496138617,1.4940109012387348,1.47803821058992,1.4498866559679864,1.4372660398646806,1.5043321186944472,1.5445664942494173,1.33697263283784,1.2606705239808473,1.270641384222712,1.270632499473856,1.190586671229913,1.1221626061587553,1.071564897487882,1.1694056066746636,1.1398632489432283,1.1970676413538457,1.2144252424464905,1.2622958109394677,1.2518478182678292,1.2804407547805714,1.4361343244368039,1.1888419555975434,1.106616299445821,0.9863474632073088,1.0711554977496724,0.9946175271333065,1.0476217193762094,1.1135546153534708,1.1591701360131899,1.2395840455193583,1.3262883469502946,1.4150449697136578,1.3244883895571775,1.309727837530469,1.1762922700609704,1.116337966048904,1.0036012893034343,0.9048138481880925,1.012787268645011,0.9476052897194921,1.0427696320201143,1.0747553305616426,1.2156822283684985,1.1744143897838424,1.2518149021082454,1.364408347199553,1.321151811644909,1.3046700881501696,1.2423181264383691,1.3508137021802424,1.1681882795135237,1.1322198239244072,1.4389122476863734,1.4126125272192875,1.5897463692949338,1.4634232314485156,1.37826061027276,1.4430816895677951,1.3388559811022438,1.269450627955452,1.1679635870098712,1.136715567877211,1.026764638748163,1.0262337217062034,1.0065496026528988,1.1584648251729581,1.2993877181779379,1.2133919645705455,1.0481456164649938,1.0775620941187192,1.0666399199339505,1.1523359336464503,1.2016246734800666,1.2689930238037022,1.3364208695957713,1.3757408954841728,1.4837175373848304,1.52550284219901,1.5954642449424143,1.5541764064548973,1.7788798773707943,1.63403302257275,1.4474210413909478,1.3951806327642857,1.3831256398962455,1.4119894138107913,1.3997593569191575,1.3879669209225431,1.3275350487684017,1.3014780457499922,1.352226472159182,1.4351102310528294,1.4250278896386395,1.6120352933663669,1.3377392677111855,1.469391916589367,1.5097345735541292,1.532573741166611,1.6365467404985652,1.6926656170408547,1.94354610743861,2.2696605294780072,2.251719487246285,2.616568829434786,2.7875810416244704,2.1493981953572923,2.0017790234697124,1.7557236627708948,1.7421215306642135,1.4365129506686154,1.3701189122416852,1.1477390851516496,1.1308311512241216,1.0420632160333403,0.9739462450677292,0.9379593455741183,0.8516032876199684,0.8340339527188824,0.7889276005591872,0.7510094651929913,0.7556344862013423,0.7427088552827628,0.8440722857205689,0.8737244912771366,0.8881664373938034,0.9628511138862293,1.0965292864985012,1.2321712682961823,1.2405288447278302,1.0155791966114485,1.0488505691630021,0.8458757725071203,0.8887287609020024,1.0137196169626443,1.3813924793792,1.3371132901720537,1.3017193485800171,1.1067524748454813,1.129013314586904,1.095435888525763,1.2885714431089412,1.3097279024509718,1.1531072344115103,1.2506355461483447,1.4716921294281717,1.2972453572932932,1.2750858396034639,1.7154926962542412,1.6164391786974286,1.389947757682173,1.5287873424965654,1.146130164329252,1.3269244015854946,1.2852546906300686,1.1048573196573515,1.2038535820260956,1.1082639895315611,1.1978614491763946,1.1049697873051982,0.992486684715915,1.0090876139493647,1.0345039390689306,0.8502725911321908,0.8321271661150178,0.9021854534796119,0.7909064031789381,0.7618699383993198,0.8332516670592587,1.0132489708697177,0.8734269906417959,0.8344895949178744,0.7842197188143295,0.7558566410626665,0.8223607966280834,0.876207426230177,0.8100541046127624,0.7695608374343829,0.8894851507555073,0.9137700767461973,0.8695428327698168,0.8972066527777836,1.1087638384737748,1.1945679009708294,0.9483270350631786,1.128194941075524,1.2816738705709154,1.4786983804209182,1.3147031353555538,0.9953146683544273,1.664263855046358,1.4703700001329847,1.205207167503404,1.1293458022963867,0.9124036185288817,1.0043654485584215,1.2681255175671933,0.8971413076954231,0.8614535630441343,0.8306789964438378,0.8183328168124262,0.8526798151699307,0.9813817823324924,0.8945755055979254,0.8183027017381588,0.9175192533471582,0.8382373343082863,1.1333230166559736,0.9146057897892959,0.7711539492272822,0.7516412427444267,1.0401717800930859,0.7106186489904361,0.951386006079055,0.7830580552180361,1.5231196603504473,1.8414704323247066,2.888289045894943],[0.5352659692094766,0.5646170879201957,0.7244434144766217,0.6285442376411768,0.6998229305652657,0.6584048763662922,0.690833169158005,0.7472488630132588,0.7312466759392976,0.7859587900087077,0.8018537438356484,0.8385719049592809,0.8993063694441771,0.8607113974825308,0.9828567424586626,0.9711301894666028,0.9860673879585509,1.0865066112746842,1.2107379172834651,1.2108293692692407,1.3083114531468638,1.5385332824225508,1.4260579813196974,1.6357611758760917,1.3594620206450945,1.260779713643543,1.2333052738494914,1.1170579578443947,1.1020352975465784,1.0065659570112966,1.0984241564615849,0.9964129021184465,1.044501767063715,1.1091058395440578,1.1145199154098953,1.1469642707498875,1.1337225305014291,1.2197120029793247,1.2529684258834342,1.3811585343886457,1.391338896212552,1.3748029152307932,1.4983283985696603,2.144385483425147,2.9520793900441205,3.3976118837174205,4.612261610155834,3.2769024942518197,2.5012367228948236,3.79392083840608,3.497828662838836,3.366474245822232,3.26273426929528,3.7326440417330606,3.8086077413982236,2.036478101725641,1.8752622698576278,2.938709105654411,2.31761395848397,2.4065821994042875,1.7082392537601656,1.41427907173908,1.3160096546039077,1.4593550534738047,1.3948112990924086,1.321565153537038,1.3525755883928108,1.1643160855425525,1.1707391159931895,1.1052200317423027,1.2814757043018052,1.7008322562503537,1.2312234226243235,1.467251570439208,1.1331533950223884,1.4289891916464894,1.198229099550748,1.2065180921988872,1.2718965145654408,1.309786842047212,1.248800890085275,1.363565204640528,1.3415345348582506,1.5023223483842376,1.3962381513214654,1.210153208413314,1.243016690067086,1.2345972718139757,1.199106344637039,1.1831503689202507,1.178632540718641,1.2711904313238234,1.3141921299032575,1.1017005953051104,1.033929240695463,1.0638021005664788,1.0768534221773907,0.9713052002504899,0.8997153570164613,0.8602889760127089,0.9315602850998974,0.9349519621092272,0.9619948337140442,0.9855880950298919,1.0591356829537566,1.050277027441031,1.0924770037962666,1.2737235284817119,1.042135486681932,0.9524435019113496,0.8318564952591462,0.8869367071815448,0.8068284603557238,0.8531873273484968,0.8973169802167783,0.9456112569230184,1.0012884478477313,1.1043860796990577,1.1969509283760473,1.099062464259934,1.1026290173830555,0.9752711597397838,0.9298347109994753,0.8184105236232314,0.7282235662289392,0.8351539707269257,0.8145565125383467,0.8909048135102797,0.922695849019119,1.0409541956925301,1.0397565497083612,1.1118605629033578,1.21371419389991,1.143601914810601,1.1366780159083587,1.0828231779501136,1.2495782258258414,0.9933611160562195,0.9510123097422429,1.231826524435665,1.1870468392936953,1.3565108867920181,1.2189334937567116,1.137318904433376,1.190179427623236,1.0889710548036482,1.0324127245559895,0.9326352076226145,0.9132242443732717,0.8129325870608339,0.8291922839928684,0.8113686190517219,0.9847420856934703,1.1806987520163612,1.0459264402055282,0.8411933090484612,0.865240057614733,0.8565308673360561,0.9222220926357784,0.9814691083290946,1.0424916308039138,1.0903669688073836,1.139116657863602,1.2363384669732562,1.316481928306407,1.4268685734364326,1.3786605209233667,1.6686170053729743,1.533224150471757,1.293409410438381,1.2243568229597084,1.1921279737348018,1.2022425456533017,1.1779707576270593,1.1518921488057892,1.096443211707364,1.063239728780849,1.11284630246386,1.1918137371572637,1.1930477374773716,1.4273296276595133,1.1145954570971095,1.2635099855536578,1.3134089631742203,1.3253661327664987,1.4149533191255903,1.4470109160988485,1.7150994279493126,2.059477651159583,2.0358634028994915,2.4511375402009623,2.602508004921011,2.013395927393004,1.8816317780522238,1.6467398350820415,1.659880436416277,1.355214327748817,1.2688547208177055,1.053469263747309,1.0114610342458852,0.9436703607743662,0.8497956091998645,0.8175027774886282,0.7673932682998887,0.7497912266271187,0.6957987248530778,0.6963464044996485,0.716682804757648,0.6897845203454233,0.8132627962122161,0.8786929100374806,0.9017803671010479,0.9598055827794866,1.1200859302668906,1.2677863288462103,1.263864336755866,1.0455605628627895,1.0754983682549584,0.8592337552169254,0.9096838695835324,1.0380558661949677,1.425899161556385,1.348852738113826,1.312255820036059,1.090450833953977,1.0877798209343645,1.029656742304748,1.2269014778412304,1.274494891996324,1.0931900314880854,1.180831112208638,1.4350412133806254,1.277201513294019,1.2186715062506233,1.6262932556786835,1.593217286704553,1.370242107143895,1.4726654023537844,1.076668121142945,1.2090319382381758,1.176662045487756,1.0085965159755785,1.0832061253487941,1.0062327154677615,1.053149837911805,0.9739007499888768,0.8792173331238229,0.8519115622028489,0.8873784414005291,0.7368575942949491,0.7235132181691187,0.7895049641297884,0.7103454424234076,0.6992743396814697,0.7742926468441466,0.974943211264442,0.8519365678808098,0.8202868177103073,0.7748657824214948,0.7154953320229582,0.7539404289230577,0.8304503174735277,0.7898651857886326,0.7381568450427675,0.8440197267854374,0.9107487410327477,0.8769143504349819,0.8687631683731342,1.100129641695461,1.2162213773014459,0.9475808110743043,1.1103333716104902,1.2757012582924574,1.4937490211700182,1.3148663464110637,0.9840675007850336,1.6464399734522952,1.450751190572359,1.2240415711720967,1.1449470835631248,0.9132534218392975,1.0137943321237726,1.28081177216917,0.8880416295822278,0.8484934595362325,0.7746171337297499,0.7561763956224483,0.7695863307751052,0.8704699597315795,0.7675340919252688,0.7233591629141857,0.782363122680313,0.707416142071927,1.0040895264315892,0.8122607947414888,0.6802957560668808,0.6436443033556449,0.9673058307590298,0.6309161550817707,0.9027616769075713,0.6666735926873666,1.4207378030762206,1.6973968937343027,2.6852646169207577],[0.4785654926780843,0.4831656444084086,0.6461349086655933,0.5270579558524315,0.5995787259312941,0.5619440276393503,0.6267815607502686,0.6692402683415976,0.6736174135705749,0.7466003232913898,0.7724063705966574,0.8047206755864657,0.8640621897068399,0.8548557276505157,0.9824479315551685,0.9540428055070148,0.9821696917044715,1.0976428842752104,1.256321663541551,1.252594145350264,1.3882253291743973,1.609349449477293,1.5272234013650692,1.7691542933959339,1.4308191585643328,1.3266534227575908,1.2576749508927032,1.1186684028625395,1.0899895109148903,0.9866709450493991,1.090210515227178,0.9624354430017338,1.016767738661025,1.0963842828633028,1.086828190305332,1.1370635900546393,1.0926522991277428,1.193959946210382,1.235360864569885,1.3558226626721068,1.3994212679458382,1.4046528610799582,1.526859913456372,2.159644381326082,3.022033866310227,3.4538328175884017,4.659216190417027,3.2971217264258295,2.4887427172128103,3.7878560294976173,3.480248772450146,3.3361647734343016,3.240935282161369,3.6733583640422425,3.7247465775024,2.027366719601033,1.8596174145934852,2.881216620617602,2.269607038038162,2.4209179181377904,1.7270578750649273,1.4419149525770856,1.357058037376471,1.5425854187858943,1.4458431776139524,1.368951672958089,1.4439970862020295,1.2126207371996218,1.2266212678819821,1.1416451002371972,1.31459917787929,1.7371236973970645,1.2879521755457553,1.5357073392663714,1.1810764329643717,1.5105837184643005,1.2338609842189392,1.2308214274487765,1.2872220701333796,1.3273939153617882,1.2233965973906504,1.328289904797531,1.3061123314525773,1.4455759682121763,1.3654213922018676,1.165632714707257,1.2281483241283517,1.2029024665834775,1.2067565521484453,1.180419095277433,1.188588072610302,1.3011372238751489,1.329667829635442,1.1033353677989761,1.0231821953072457,1.0598089601838852,1.0669689387298726,0.9374972950427053,0.8564248101079216,0.8113351719710175,0.8768441041852078,0.8533077883288221,0.8817595852980465,0.9022611545789287,0.9701621396831376,0.9603801837622833,0.9808265924885795,1.16647631196302,0.9588708790403351,0.8828666744114481,0.7499791300740863,0.8159145496702104,0.740536293294051,0.8057529680264,0.8578477222512165,0.9250846662534845,1.0030588794314057,1.1225054030265507,1.2453370890048692,1.1295714568584465,1.143181129180862,0.9966416674834238,0.9460970192663374,0.8063153440494298,0.6972007020114704,0.7713329244126059,0.737093288271515,0.8292505727653579,0.857547698762949,0.9636022576813565,0.986088171397507,1.0465681408427585,1.149819220563905,1.0663032543426074,1.0752606235309352,1.0436998243361926,1.2294664796402794,0.9472047646405051,0.9197253268906657,1.1742172559490947,1.1606984828876017,1.3783431079543342,1.2236037512602147,1.1210239776831405,1.1676609912582625,1.0586458126941376,0.9983599560809983,0.8850624804438298,0.8508414511398658,0.7528289046992257,0.7562169757296083,0.7414872794913451,0.8819295407316863,1.1641048553936444,1.0337425449095918,0.7708135158270784,0.7966434219587508,0.7764099545009223,0.8577502048300513,0.8981029810646771,0.9740529708281566,1.0378789401765192,1.0933420636849305,1.1877032000347643,1.2625725721571974,1.3880097087063232,1.3381140986498072,1.6564063315451538,1.5281662558783573,1.2677001111165607,1.1779074543872063,1.1356282304924623,1.1356246043935105,1.1060161488417235,1.0762452852685123,1.011947257045606,1.0015621615588104,1.0355441563491778,1.1216428620205745,1.1050517441778238,1.3625225868385116,1.031331183091054,1.1885887138167628,1.2504158142068869,1.264060429351779,1.372483189779625,1.4060528387205398,1.6860605792823355,2.0473445725378583,2.008123035931584,2.42746204454761,2.5819405678288754,1.9808221029773947,1.845718141953995,1.5996693102998392,1.6186685341169385,1.3215368001680377,1.2206880890375862,1.0122420131145398,0.9611599931512782,0.8788628442058543,0.7698449540174065,0.7483128121167905,0.7297337056876921,0.7059413903153319,0.6440749251329329,0.6706243818245218,0.7119814487372638,0.6766604070667346,0.7964398028949196,0.8915787576552606,0.9375075717456322,0.9757454916613406,1.149203572213791,1.314754640709046,1.303716683518873,1.1219799015583987,1.1401062729728482,0.9148498462661877,0.9725167863188563,1.1002601112242558,1.512004048048926,1.3852583816322392,1.373609844986193,1.0822426291577332,1.052395744674305,0.9721719897918034,1.1872579671608143,1.256948258446079,1.0339173700167643,1.135379475128895,1.406602713249221,1.2703522155920466,1.1853599691527694,1.5516479799383134,1.5665522417726028,1.368421752287048,1.4428838799607178,1.0430656066605097,1.1451681101978262,1.101139409979764,0.9283083952931838,0.991646058077254,0.9357408863116985,0.9418289150445128,0.878363627221881,0.7913196137726519,0.7495209655930862,0.7992165387037559,0.6653571305287154,0.6688615342061407,0.7359845519439497,0.6774089293425647,0.6884211537732178,0.7862713112144497,1.0180062263187457,0.8696276008544578,0.8545355166175416,0.8041802613206813,0.7269620640270238,0.7190631024370151,0.8231368533807971,0.8096939802167399,0.7394386405961786,0.8316521182819565,0.933727770657891,0.9134596130438608,0.8664189886980399,1.1014689042268646,1.2792072300332726,0.9757953328866891,1.110796313410335,1.2879711942608871,1.537417271775543,1.3290658363159942,1.0011173822542418,1.6097802215473354,1.4294463474498438,1.2598809429168363,1.161004138292242,0.9248521396238638,0.998332586464357,1.2297814108319647,0.8547697288205742,0.8447688930921599,0.7574996014305282,0.7489023852934373,0.728290959555557,0.8267180170571922,0.6945913050015916,0.6767996824549417,0.7160924678908723,0.6342582387137793,0.9870680718177988,0.7752756850868859,0.6018225770733052,0.570392688292701,0.9723838870097375,0.5331577614177271,0.8628348287684039,0.5705228858276042,1.30039091091388,1.607750138242997,2.54530780691636],[0.5210891689998909,0.5025669414442048,0.6087247719389669,0.5200000840690843,0.5912450174253081,0.5897391073188428,0.6584410428733302,0.6871931125688999,0.7010088092237111,0.7521216351364911,0.775712310500717,0.8083679700649163,0.8443637028339072,0.8423260509984808,0.9521614601623516,0.9168193478387046,0.945691471149746,1.0431197442406934,1.192127185879098,1.1834157723598153,1.32018954619283,1.5309782046892444,1.442780452335965,1.6909991767326313,1.355886949389754,1.2672020117095373,1.172066729290285,1.0493240071021552,1.0161916447328927,0.9400619335144726,1.0388665284557876,0.9097924690531128,0.9618684420430836,1.028144698262625,1.0121573446189631,1.0607230331265742,1.0112697992583357,1.0945332699357775,1.1220796722238178,1.217490284556228,1.2827027990180566,1.2864063243454968,1.3734956818758817,1.9605526663184718,2.8928803589654635,3.368282309885185,4.472967037675906,3.0354142698153654,2.293603444078945,3.545209740501259,3.1502880012766856,3.0196546697856412,2.9075123767425706,3.3760743628912295,3.5305592737114138,1.8266378075504293,1.625241170212007,2.6523603729255285,2.086355540243239,2.224609494862974,1.5774463051605163,1.3154000662215475,1.2550023826061973,1.4485429707219237,1.3337718561433503,1.2763809223338012,1.3927303082941709,1.142504993509426,1.1809656877552703,1.110593031562379,1.2809990017518036,1.66239021770212,1.2371164945856745,1.4698466026446102,1.1238568963379016,1.471085994817632,1.1471497911998487,1.1376008158821365,1.1897751111639039,1.2179935330672509,1.1089409274735493,1.2065864604130303,1.1911716997142483,1.2990638343679777,1.2607099767277816,1.0545190098387467,1.1228715073096855,1.1107648539286166,1.116113777143381,1.09131402286518,1.108953430222671,1.2458164482294956,1.2519721063497737,1.0499406886099374,0.982671120248768,1.023092876151628,1.0483355272403245,0.9062992854342223,0.8329839272534929,0.8106094256740308,0.8419304890470157,0.8260499735002256,0.8301029635538952,0.8883759567684395,0.8876890318767099,0.9221356723323665,0.932736082348303,1.097678576444098,0.9211675249439694,0.8664477341052208,0.7286929485739813,0.810029378521101,0.7501492050253054,0.8107940681465398,0.8410005931909269,0.9095051494010776,0.9716531598977847,1.080942825839433,1.1989687446148547,1.08698200259015,1.1124788593125883,0.9918515585905744,0.9516525208505581,0.8268940017284929,0.7311325052317785,0.7659470589629929,0.7393074200833328,0.8256001122593158,0.8627775085421382,0.9243319615092963,0.9685469151435362,1.0128270952770488,1.0971239988509194,1.0006668267870256,1.0268692715441787,1.0411711017856895,1.2428683190870549,0.9380703937303131,0.937962793156542,1.0724736762359555,1.0739344357279272,1.3181948448995056,1.1440180510726772,1.0497952735715694,1.0756926628592522,0.9834105546172102,0.9443407095688751,0.8416482804302036,0.8260893261551036,0.7583462621254743,0.7617844037750954,0.7448268079418179,0.8528089843787335,1.2017196806316626,1.0586932848151014,0.7557490167474669,0.7733577184244165,0.7657379246569528,0.8233527205632715,0.861794907129972,0.9127085968668728,0.9574619185021415,1.010147956241608,1.0778860169704743,1.1438223865128352,1.2996483481601218,1.2612926694466646,1.601906586586808,1.5399022580505068,1.2475069800028613,1.133093827557697,1.0601435617070716,1.042468531710683,1.0074853624756632,0.9728493010157391,0.9228042655721792,0.9308668083533097,0.9536621142768054,1.0104062368034659,0.9852001898203336,1.2303318810069603,0.9595920789647795,1.1103381038758315,1.166600108233798,1.1670238492512246,1.262123923200699,1.2810039107804683,1.5617977359010822,1.9598954998889146,1.9005343449841958,2.3419709441236343,2.555308536347639,1.9335574048646096,1.8116630640977223,1.5332177453278333,1.5491134672357243,1.3013263061739093,1.2006086067168036,1.010425341156521,0.9759470807030243,0.8586578526552593,0.7487874823928151,0.7414902199924184,0.7267609156753846,0.6911854346891989,0.6259146474676857,0.6519101374379301,0.6973021856695519,0.6773863673753968,0.7820256355381963,0.8776800769672903,0.9394330871628703,0.9748685689472422,1.1435973450493033,1.302774352112496,1.2790377059628524,1.1349068773034496,1.128156066096941,0.9243921004551559,0.9777289709217795,1.0904211465500515,1.498052696693974,1.3348524423614252,1.4070953606748118,1.0502564128037017,0.9943480101326341,0.9299103922480914,1.1107934650941655,1.1988699598550574,0.9793133630679569,1.0817560863544968,1.3375709578729744,1.2355413613679824,1.1485595724133921,1.4756238570723972,1.5297881704289713,1.3289960446836893,1.4355564860689223,1.0267209529795027,1.1051610812336539,1.045710260386641,0.8895004850599394,0.9514784356080721,0.9025159124435068,0.8910136245903684,0.8491650703360771,0.7740815652381304,0.742542525019882,0.7942123177509547,0.650314757735262,0.6775494139141421,0.7549852112001044,0.6971474779265935,0.7135993276160666,0.8183039854370309,1.0578697511870456,0.8860962936403535,0.8738048454016739,0.8182071177461604,0.7279733303491861,0.707418651814591,0.8023962696180406,0.8068094912819331,0.7355571797070796,0.8142092731817392,0.9253923590492572,0.9071441704506783,0.8568118945220623,1.0718937121759107,1.274699891077411,0.9724702961984942,1.0958681589031571,1.2607028660011017,1.51480218914194,1.3020882497182655,0.9994874920369878,1.546019549360712,1.4052610203088554,1.2278801957177405,1.1106045379810963,0.8918526521235427,0.9532143396481275,1.1306634030420253,0.8022458026975966,0.8456239600995835,0.7972646890178386,0.7993363170035077,0.7379817053669699,0.8434136334449223,0.6781025568117653,0.6992132459962662,0.7252487884714114,0.6429617792831496,1.023986165668629,0.8065585741078041,0.6010009951379427,0.5789192675106588,1.0132159979566009,0.5331030893006199,0.8823553214619869,0.5916495170692793,1.2458700907221636,1.589977358294278,2.445527852046931],[0.6051635110557216,0.5732641863269583,0.6318098387704384,0.5431569456664187,0.5611707648327668,0.5613785594523426,0.5836712559450574,0.6011571551853622,0.6280131560639826,0.6734766334192765,0.7091413612543767,0.7309878303668506,0.7500527467867623,0.7799253427445266,0.8934272067470471,0.8352530704490359,0.8718095856628402,0.9842580699633355,1.163274853588675,1.128619945584815,1.2889244565701141,1.5018382142757214,1.4389515861975122,1.6851304713874269,1.3236071773651135,1.228104147687378,1.1123768873281878,0.9777894427884555,0.9393089250164836,0.8465512122450319,0.9721607801338635,0.8115267236626847,0.8717740315208723,0.9524300056270801,0.9246974873382767,0.9815613705476547,0.9129393854049119,1.0176744271437212,1.0473269183502725,1.16420797286341,1.222941728067402,1.2407232246776732,1.351328499377221,1.9816415545560018,2.8976125919801596,3.341836351027486,4.524394597477719,3.1123592669021094,2.319215934436897,3.6150615454385226,3.2648189276323363,3.110970777102193,3.0001579662766713,3.450201168698598,3.6466486456230665,1.8382117329067653,1.64979350498715,2.712868598756277,2.133495350230211,2.2531532548388,1.5786568239429988,1.2940030339972604,1.2207323822703857,1.4392996206609678,1.316529523464793,1.2330708955271503,1.364101967684376,1.1077890985925334,1.169419116735344,1.0888333203105687,1.2776076284479299,1.6841285266163541,1.2369692226423403,1.4733944859540946,1.0970203656401458,1.4520791805320497,1.1042190907689562,1.0859715705519726,1.1273274880129258,1.160263722689526,1.030767095309753,1.1459826357899485,1.104094332278261,1.2383225599295569,1.1833769714462896,0.9652843716894318,1.0478587895424003,1.0268529778672606,1.0449832070533462,1.022161232382628,1.0519366537397805,1.206411135346787,1.208923839354528,0.9909955462323792,0.920285167268,0.9777894280578293,0.9970022439324502,0.8290482320320565,0.7399955018935737,0.7121344264132949,0.733069940125278,0.7303637630846925,0.7208455044314024,0.7752442760895829,0.8243911413545134,0.8262027321087857,0.8807136365554484,1.0727530835468664,0.9001718684283054,0.8163210011754047,0.6864603210389407,0.7110310149119105,0.6523248319942686,0.7038581753007759,0.7431079518675163,0.8190321009487285,0.8908211875727453,1.0166344278709167,1.1667500926788863,1.0358813513797998,1.068508718948217,0.934136444967244,0.8877747071534536,0.7501398488233609,0.6469905774709931,0.6665823110896976,0.7359044610914339,0.760084668406864,0.8141886305298432,0.8785306654888472,0.9620016245798054,1.0283108538307288,1.0988868127854527,0.9846045099820455,0.9991864924592205,0.9910768079697128,1.2097016558719782,0.8617542051374089,0.8246940010134031,1.0156952275951374,1.0151446540987739,1.2623011497318792,1.0828486004757025,0.9677627401839259,0.9964795259502757,0.8921359696029204,0.8452586372017523,0.7376345457894977,0.7134850391983971,0.656417901586592,0.6618504979043736,0.6487222756124107,0.7681040609982493,1.1728816599195364,0.9969141534689174,0.6555829518704335,0.6693591288749272,0.6608949967265069,0.7105710530388145,0.7490564258813636,0.8084251961458537,0.8598578128848933,0.9250831367651744,1.0060776996569352,1.1140075079415903,1.2844458663220577,1.2386706143791495,1.6142308066583693,1.5177250201197128,1.2018707670312658,1.0910157454558453,1.0091403381583814,0.9873985959194028,0.9409657489205628,0.8918596959530517,0.829053059305356,0.8257303804124546,0.849982311787992,0.9261946763383905,0.9193309477682913,1.2211653940349803,0.8817530991746584,1.0618347680501676,1.1353797685182994,1.1312912567427202,1.2280240245985814,1.2428759756452317,1.5517074554263008,1.9353523392435017,1.874318964807574,2.321280819090428,2.4382621928419628,1.8918060954958231,1.772650399746911,1.550320655410409,1.6182336020563326,1.3133356220286954,1.2257813970881652,1.0535044459510998,0.9670876387205631,0.9120446748223137,0.7690777593275501,0.7434222104777386,0.7852348029120538,0.7706752430327724,0.67322372493695,0.7140003032462912,0.7995707524083311,0.7662429283456308,0.8352227520770846,0.9586061283854518,1.039140106573708,1.036753070608031,1.2034434905103744,1.3927139608929753,1.3608429147166587,1.273949166695208,1.2568092832412563,1.0655234163596312,1.1380098806319665,1.269855407085218,1.7420915945357733,1.5038906900319795,1.5604113682968273,1.2076562596435938,1.1461227421924594,1.0388942977139426,1.252599580147368,1.3630716225764525,1.090048182968147,1.209584122863247,1.4939430978643606,1.3909856282862278,1.2655199105598083,1.534365300265228,1.639758438213834,1.471366030028788,1.4789955544824267,1.119847369205312,1.146167145853269,1.1136576775431548,0.964420981421896,0.9949964105418039,0.9856861532898722,0.8971246486545277,0.8751080965581002,0.8460329302175693,0.7451331915571611,0.778962406067301,0.6997526377625158,0.7179011679714099,0.74941447600822,0.734785798032958,0.8112545637038678,0.8862077697052069,1.116472988156472,0.9575633203558129,0.9764240383765065,0.9451108488017367,0.871921293200414,0.8308809532023357,0.9631595453587568,0.983540814335711,0.8763328350601365,0.9601558344365494,1.1006279172191076,1.076161997594436,0.9943111965529455,1.2478404543699717,1.4444096927001848,1.116439739640049,1.2259102668621822,1.430523042039084,1.6694901573778251,1.4386428703681513,1.0992154538522394,1.615207398874833,1.4036343266989257,1.3424290859233297,1.1875156625226844,0.9801047436244528,1.0265854634726213,1.1924510430150301,0.8907911791222545,0.9008969930538737,0.8479202678865531,0.8511090897402733,0.7571687017978006,0.8513254307595658,0.6556646269393138,0.698061266508314,0.6953596854307026,0.6262619969882254,0.9659638356090567,0.791704032042285,0.6008045574627803,0.5837281816650881,1.006849937128507,0.5636395038764819,0.9103108592798955,0.6037327955052956,1.2303248778043083,1.5266995083220143,2.304781695566801],[0.49734089044338897,0.489198356404032,0.63924059384072,0.4727106145747247,0.5665128545524599,0.48246677636199753,0.5281530433220246,0.5762989085602049,0.5546195672346469,0.6129884340016685,0.6342288246150846,0.6664521918008602,0.7157176863733576,0.7097865015500802,0.831715806615714,0.8045875574914527,0.8324907628183246,0.9433685855929642,1.1097811766988537,1.0904473201881053,1.2255879488977097,1.4554548132110947,1.3870934098936387,1.5921702582985737,1.2913170173390984,1.177714901935289,1.1081705413049376,0.9716955808893792,0.9409897421426536,0.8347804628322831,0.9370013328688023,0.8066460612921061,0.8560082884288799,0.9363886304798065,0.9303054917366336,0.9750955375981003,0.9469910330428903,1.0647015313279888,1.0948003078854742,1.2505341777093633,1.2591773186703938,1.2536751515628974,1.3882370267191706,2.0278159146398314,2.8550372505273427,3.276372685230097,4.539043280293412,3.198288045257699,2.3955031896209587,3.7055919663912085,3.4278142478508205,3.2783620912649822,3.1656316460411364,3.608412271965491,3.818389754303377,1.940448606648876,1.7797153332915239,2.8620550375783345,2.2576272651868714,2.341514221742994,1.6317487829013402,1.3231635899195704,1.2043732312374467,1.395626690908091,1.3133008470747076,1.210681050447197,1.2775748544018337,1.0588679686841846,1.0929100316019373,1.0205582035980012,1.212199604794122,1.6440476834355464,1.1641713176560657,1.4097133411631815,1.033035837526491,1.3671505003823932,1.0803399698503624,1.0734886177754492,1.1273652310927174,1.171231834744394,1.0942460665803455,1.2448558367465676,1.1880182026070265,1.340641029055273,1.2511063112589482,1.0430760231868574,1.0913022151562644,1.0738253493026924,1.046840205626761,1.0214486186734888,1.0259383307384153,1.140217972380763,1.1644361847102487,0.9399819220962713,0.8709441042387118,0.9147319249276873,0.9415795927228781,0.7915658373809031,0.7168984193500315,0.6866912192090486,0.7349511374709573,0.7738675896182459,0.7659940658457041,0.8031798975847505,0.9487340666767559,0.9077464969782689,0.9452326174968272,1.1254473936676554,0.9336082470575513,0.8672626843001541,0.729567497763871,0.7559711597875961,0.6588156831269374,0.7055869882443631,0.7180757028266498,0.7927521936704849,0.850755687059173,0.9801801607163841,1.1032460360218754,0.9806058689666302,0.9946356187655929,0.8512036332047248,0.8128264211818728,0.672446828079679,0.5812377416074985,0.6734956018045068,0.7083229850736784,0.7885232473962626,0.8425647028801735,0.9401382168208682,1.00130900429576,1.0843118653657182,1.162511292324476,1.065868053730045,1.0629998160062315,1.02104752746111,1.2706528646695059,0.9014027033264161,0.831544983295667,1.067073930944509,1.0584084061339554,1.2690094287110423,1.099519742190334,0.9937242975185687,1.0418026460291843,0.918968384669408,0.8622739245551277,0.7561261744191407,0.7323287841769315,0.6444967349616969,0.6756948398618696,0.6346338165906972,0.8104038850075093,1.109233569237006,0.9373170772256773,0.6539739207462153,0.6726899831770268,0.6852064489332018,0.7393167825741748,0.8073515292584704,0.8683366348407975,0.9190048742701882,0.9864708755791001,1.089428627418883,1.2186910899518195,1.3696617145906322,1.324710773336316,1.6855593329349055,1.5389395380152326,1.246702411551535,1.146761464746277,1.0727031517949777,1.0705629127711502,1.032966672052625,0.9854248408828167,0.9306887542208386,0.8878627100014743,0.9400703411138355,1.0244131908729035,1.040671619277331,1.3214042419688918,0.9740894428142728,1.156074693360713,1.2412440867656518,1.2388764757516189,1.3358407214211367,1.3378936102139125,1.6549500601450107,1.9938646031008558,1.9634779227837749,2.4094401272494226,2.4820708186651017,1.9773309403979016,1.8476641078272662,1.646543257960586,1.7124925109954636,1.366020802130146,1.2661724218768329,1.0592430796086856,0.9822309506224136,0.9323418444784516,0.8024356525328541,0.7651213707532755,0.7850146606048573,0.7707214252001537,0.6794329536814269,0.7191907701333528,0.7815805241627027,0.7367656184718551,0.8275622971625426,0.9390345269050767,0.9930972604144354,0.999699406370418,1.1880650836733788,1.3547998585962162,1.332538205969286,1.182742361336335,1.2019213947446836,0.9975125271801187,1.0656363967614013,1.2122392919471925,1.6671612249648915,1.4916776602652937,1.4668771528340574,1.2107844132718395,1.1821381745206891,1.0743207582112126,1.3129663195072898,1.3902930645133087,1.1316612876203724,1.2437076549180068,1.5197782938847215,1.3863218198597969,1.2804198611770725,1.6201458213540632,1.6577520737956686,1.4722938145871058,1.484718489166763,1.114718886765172,1.1977238917073856,1.1631428103867427,0.9986867178866772,1.039109496116169,1.0204020490743706,0.9494009527218458,0.9161127667011671,0.8764664452891704,0.770454460993776,0.7978094333228498,0.7116308432207606,0.7004656138030277,0.7244400131335739,0.6959433323076841,0.7410206838277035,0.808542687975656,1.0426251434605072,0.9028444857303342,0.9100444205861453,0.8890189151013876,0.8257084839981399,0.8209814474050761,0.9486400826604254,0.9336449660379257,0.8397803449900213,0.9483415661407292,1.0606544190666674,1.0285371481039527,0.9657793564091143,1.216729071654473,1.3753513589119042,1.0526722366112975,1.1950953830956548,1.372331027032125,1.577361139284701,1.3656530558509812,1.0326882256083758,1.6186518865209407,1.4140335951205738,1.3115429604544322,1.1919936252945285,0.9657357234228542,1.0398216381158176,1.2671639943754465,0.9104201587466126,0.8718218772851166,0.7762359408482683,0.7919876828263824,0.7727385612625857,0.8532810026561167,0.6920803118566982,0.7137076256888367,0.7073652238973079,0.6414108352237071,0.9243758205992926,0.7890286017925177,0.6061982441513045,0.5655556612931043,0.9843265150351193,0.5284537845481226,0.8818888094763816,0.5505724082048092,1.2263780256275358,1.472700356638433,2.3426114452445947],[0.4798708761292754,0.4832410127063637,0.636736656396785,0.4740060086099231,0.5526689503681116,0.4723199847074314,0.5006099273805819,0.5501459462936032,0.5042875542093188,0.520710116405197,0.5284824587634818,0.5822124729130552,0.598619355914335,0.5747660828841404,0.6912767222691982,0.6599032019660175,0.6752196844980944,0.7537760539465803,0.8858649067968088,0.872335791984472,0.9867207919207652,1.2257921690066316,1.15165360428747,1.3445417412879346,1.0851480375536864,0.9652246179454312,0.8966628956625428,0.7893583509012146,0.7671938902064162,0.685148101474756,0.7640391361138291,0.6710159121248157,0.7104214527519975,0.7597106436343103,0.7647168941429696,0.7900518227086474,0.7960245298987839,0.8836112863285327,0.8958632213741139,1.043003589362853,1.0378816072078336,1.0079196097290097,1.110280922257523,1.732740524282963,2.6002939170748696,3.103632519141098,4.2448532496642875,2.8167109049304413,2.1409442357400064,3.382536366130367,2.9944041791860516,2.87712172732234,2.7312605385418363,3.265648449108562,3.66434482374654,1.6545359023967705,1.443459773863164,2.616402472133348,2.062654322330278,2.0725699412191245,1.3934842709137065,1.077644110277216,0.9594144221520897,1.114692348740002,1.0535159940359087,0.9661835507804016,1.0488227041845493,0.8255556159824827,0.8765907913455773,0.8336256675264443,1.0329695268127188,1.4350115114122672,0.951292251047298,1.1839673595658522,0.8220009485567649,1.1727740330639183,0.8480386943018844,0.8450869428418293,0.9130806813913561,0.9442379551745776,0.9093905702943055,1.080615083644229,1.046768421909469,1.1848693232440548,1.098367375078872,0.8746982401039705,0.8921081295738148,0.9081302223827952,0.8447322715214185,0.8293646112382476,0.8166580951128803,0.9345398681324113,0.9627211299207228,0.7598068658934674,0.7128350711920833,0.7597689071772935,0.8094537746358808,0.6700176169387475,0.6128476076943343,0.6263412961991995,0.6431865264506841,0.7237827539442662,0.6849995603358724,0.7549902639787075,0.8645219508515627,0.845714234886084,0.8909357847310834,1.078306901683382,0.8998816612163643,0.8331879808876971,0.7050019844296541,0.7175285441781736,0.6175158730123306,0.6487760248324435,0.614268327292464,0.6801433512797062,0.7010002461505773,0.8119992089120966,0.9013274594314834,0.7882947346477495,0.8109096476664696,0.7131315060259533,0.688190861570413,0.5783682798363188,0.5174201437566547,0.6179520705529706,0.6910201164064247,0.7655505652581801,0.8179151435805464,0.8817254385167879,0.9529512739637604,1.0169177384457755,1.0912546382197286,0.9864286629171036,0.99413733940956,0.9817849383489619,1.2222680784006206,0.8378320845837941,0.7427416947585048,0.9324137983081882,0.9029864124569884,1.1188202131300031,0.9074054973623598,0.8366819924471244,0.8675911252871126,0.7644960422802237,0.7318862259676637,0.649587784137694,0.6639595378336691,0.5856092348811135,0.6420380142228922,0.596062466263011,0.7817211135860336,1.1040063426473077,0.9010344740547467,0.6062565774634844,0.605897166521254,0.6404115916738127,0.6615768587467937,0.7465373600620356,0.7838726016415378,0.7955080288402412,0.8546479771279363,0.9382904868508607,1.0814599524108155,1.247811693477762,1.216345034656902,1.6043816577493577,1.520276158950021,1.1818788405196528,1.0715445141758866,0.9736433299293542,0.9602840089752372,0.9193350895691283,0.8649214542489837,0.8231151032676242,0.7802817078775078,0.8280988928750782,0.8900556078653221,0.9152501673785969,1.2192780799131453,0.8862686212091073,1.058386448387681,1.125195152967241,1.109618392245712,1.1779288059965345,1.162624613403944,1.4647309215770508,1.846031094793936,1.772611148313375,2.2363564843874943,2.387774170861691,1.8659410958551224,1.7672011635197136,1.533560525879415,1.5846776179282194,1.2944162715851566,1.1989557688451857,1.002851281750753,0.9423605926546328,0.8677848940661123,0.7493757300521623,0.7240967237020736,0.7214658703866534,0.6978004104598515,0.63246262667571,0.6620452822811019,0.7020381301464064,0.668917243217737,0.7855450748321445,0.8822030167385896,0.9259872355170693,0.9566101005806317,1.1414419153667346,1.2909900185375114,1.277404569488051,1.0859932188878285,1.1000177619986518,0.89068613921902,0.9504014736060141,1.071359791066831,1.4889881897003034,1.3394397394169697,1.3758884549930013,1.0807724231776648,1.0468188953043664,0.9682943803025792,1.1658284378377672,1.2434436742763297,1.0198842425795598,1.1222911337481423,1.3782221539074455,1.2615349915106957,1.1764563850226033,1.5027196734956512,1.5398749509725789,1.3524564984240988,1.4350782128128305,1.040039600516541,1.1213091168070155,1.072804187999206,0.9135992306657481,0.9690395417537225,0.9369978946697702,0.8984542430420697,0.8573218392694453,0.7981612454313446,0.7209188203852306,0.7643059401230848,0.6590732018579885,0.6566169666623212,0.7072866875713044,0.6578650438080088,0.680560924506753,0.7621920873014214,1.0008064229798412,0.8444691861178302,0.8358886891375827,0.7990852424042647,0.7313252193744108,0.7354289505875897,0.8304394779858183,0.815213384091742,0.7403339641337624,0.8386953416769682,0.928920394121754,0.9052274340516259,0.8646304535834997,1.0881334067210122,1.2436915870056524,0.9522398621209521,1.1023490724383993,1.2618209175523212,1.5028565386969766,1.2936448921194303,0.9591228415482815,1.5675327521770657,1.3971063332145839,1.2171419628395788,1.135618632036038,0.9002959939381739,1.0000139856146426,1.2473152868546014,0.8465357708803208,0.7993005748735913,0.7281863219655456,0.7390976822315978,0.7282304056545809,0.8187046999561215,0.663601849628744,0.689187570323498,0.6900202738231463,0.6124803653999014,0.9330686867878902,0.785845130675446,0.5872827761503919,0.5572204051738342,0.9945928554684134,0.5247538246480781,0.8718601801444588,0.5393350903652012,1.2393746263288123,1.4692289980347892,2.3351602149997666],[0.5483450020304393,0.5125903206726803,0.6238081800853124,0.47891872071783304,0.5253877453604815,0.49271560566210976,0.5077401490282102,0.5333054653724444,0.519709692950364,0.5205988121117573,0.5462045820756599,0.5982504520400217,0.5682703692594179,0.5888850539556225,0.6925298793660889,0.638082850555236,0.6793722161732897,0.7555073981309637,0.9143288492465363,0.8787120037393648,1.020744108276332,1.2362909177733215,1.1861396718591088,1.395019276913101,1.0933274891266496,0.9916940467620619,0.8775125057280995,0.7767354776720755,0.7445623652345366,0.6574337710327868,0.743132817797268,0.6302842140887394,0.6725208057081272,0.7244774250174232,0.7190503961714897,0.7556252588385006,0.7400752877314014,0.8383042309630286,0.839452836959332,0.9830509889634486,0.9971945943492129,0.9835328647603634,1.0772130234496706,1.7080069086456648,2.6242531690363937,3.124040517836104,4.254499149273687,2.7926339000493576,2.09918420082164,3.346125297272233,2.941228430951103,2.8213591093477333,2.6655754119606168,3.1651538772168717,3.5980899886490803,1.6096412328763876,1.3882395027581498,2.525719283348931,1.9996378207460035,2.0382178365393044,1.3814584885706318,1.0615263323963091,0.9597792117182329,1.1460469755639064,1.0605736278668376,0.9722193139978647,1.1077150411280288,0.851302119470737,0.9470783521929513,0.8747545706928331,1.09503170313474,1.4873199146971536,1.0127657267224723,1.2428611800402702,0.8669703603464572,1.2335794676271572,0.8449821905472575,0.8220312892320248,0.8808217777168429,0.9032415073547717,0.8441382916861058,1.0201750615221656,0.9833255997656477,1.091750650291684,1.0292229886004343,0.8001381152645082,0.8333382715448022,0.8515942764384938,0.8106077949216655,0.7956647693174989,0.7986126878185664,0.9472417783521541,0.9545378030041722,0.7448876275542097,0.69552414791803,0.7564384296194122,0.8051311654063185,0.643332973284836,0.5820268794303927,0.6143119966209797,0.599377955585982,0.6889355849932927,0.6159975401074874,0.7214571098137529,0.8016820016850306,0.7885005272962942,0.8414832682878234,1.0159836549936698,0.8661026185583663,0.8162246885309861,0.696574605908123,0.6861642465567682,0.6029786515234146,0.6310314195612216,0.5980563792748926,0.6774542457535518,0.7150618091697881,0.8278306176549962,0.9456300209421079,0.8112414506717939,0.8597147507136181,0.7450814336095292,0.7183909867889882,0.5958959095897646,0.5273292854415167,0.5921780515497311,0.736228305440311,0.7585285565049653,0.8302409550160724,0.865515372238227,0.9653855702021706,1.030585697327299,1.0888804312211944,0.9669576620087779,0.979188410623658,0.9931936321582971,1.2249281704471255,0.8115715636183752,0.7390110820785512,0.876044111127276,0.8707894741780396,1.1055932371543984,0.8851486768614402,0.8028055603492793,0.8246614020650448,0.7188938775444615,0.6895208329005909,0.6120456395837706,0.6221575912441248,0.564702424887028,0.6356011127184805,0.5821898326251157,0.7313438227975094,1.1704341985788569,0.94365286351766,0.579681245970853,0.5676649323810365,0.6106620583893919,0.5973215838281829,0.6831333092416608,0.7287286300463035,0.736188890397199,0.8000125888146583,0.8758986181751724,1.0338494551946489,1.225343736139291,1.2047257900433206,1.6282615734114296,1.5686041346672153,1.1890659914216923,1.0655617092956688,0.9358604468815557,0.9094588757968753,0.8572134183222964,0.789191011589654,0.7399836712537579,0.7113496637772765,0.746810611393816,0.8071445312317788,0.8385614463114367,1.1725476108144501,0.8314421395032724,1.017046411774848,1.0926157001397967,1.0674800515650003,1.1390950767289227,1.1216190223926428,1.4366280974957777,1.8355487510405406,1.7324097362578883,2.199170007094857,2.330431266979206,1.8386320199795485,1.745640191260516,1.5235471826271119,1.5908794072099237,1.314547722513319,1.2275937689945116,1.0567986545356762,0.9700370669238761,0.9063866973491134,0.7694595602949668,0.7458693307357356,0.7937597825154717,0.7791451070432228,0.6868636697170547,0.7255734665869559,0.8028020950452949,0.7692705168903432,0.8395180469658655,0.9561369374800053,1.0296539358989993,1.030194385915223,1.2065098770288216,1.3687579974044994,1.3402888810146678,1.2239427555915512,1.2205542034719021,1.0389053608122254,1.1043646573097419,1.2441907603228093,1.699731992509169,1.4761919532488434,1.5367654517765201,1.1927938781157725,1.1359084757039595,1.0404551722376316,1.231043084527011,1.3326462618470392,1.0681480044406697,1.1987365743315723,1.4630446207403012,1.3768207827742762,1.2544190413942755,1.4841535391847078,1.6005496392746323,1.4508037735006523,1.4589566067678013,1.1142838825157215,1.143613234773862,1.1002470411074743,0.9565936029257844,0.9953970949650504,1.0112115394783394,0.8927100410465872,0.8779044106721067,0.8588966042123591,0.7502871876526868,0.7744880673066696,0.7122450132861748,0.7351203444873691,0.7625133000680755,0.7417604975265064,0.7980280916978286,0.8809870706923877,1.1095906526345476,0.9503975445444133,0.9673181970147497,0.9375084107257148,0.8709981119369675,0.8386328350962505,0.9645763457336317,0.9637570967037961,0.8719800935563887,0.957350581359228,1.0808895639189446,1.0552224489844315,0.9821424222827979,1.2209886664239322,1.4129921986357312,1.0879401436534937,1.2022821111308877,1.3891264291224341,1.6176681887485609,1.3908669533972184,1.0685748982998253,1.5694532957263156,1.3885307094557393,1.302716395925939,1.163914359812982,0.964010042452922,1.0251344108908227,1.1868639569527155,0.8731457912781031,0.8855535891134656,0.835995664526226,0.8476273459167981,0.753539936737559,0.8627977892144527,0.651324347495366,0.7175682136395252,0.691557304909571,0.6344375565393352,0.9407719228536615,0.8009974758993416,0.602504055838021,0.5870225180314996,1.0326058709249235,0.5616066313068617,0.9095622619703876,0.5731553380972068,1.165700580646721,1.4069508622917433,2.163724811462073],[0.5920939965950245,0.5654895177141843,0.6995226844754157,0.5034287743545486,0.5717071681769333,0.48089131668826085,0.4825841270552104,0.5373236967282164,0.4620921693556823,0.4460795677061305,0.45218022147688985,0.5107038703324507,0.503387264030623,0.4958741344594077,0.6139893848460859,0.5757470078883022,0.6021898670144048,0.6835868449468389,0.8532152889328719,0.8158278002836139,0.9527980917673137,1.1953120807283166,1.1419378245295475,1.3337417935779388,1.060648155177116,0.9321217849851134,0.8464333909704167,0.7265208404319928,0.7010041646669196,0.6040782681922532,0.6773167439029175,0.588179080989821,0.6229522319344077,0.6683881148612748,0.6833367468685999,0.7068499100019848,0.7195973858058938,0.8210281368932038,0.8397106678012515,1.0299429148757364,0.9915249042957717,0.9700797096795868,1.0983712419423426,1.7279106754401499,2.558238355294371,3.0104174095179737,4.232615816592942,2.8597599885691016,2.1455684082451354,3.4150763109613864,3.0875334023784355,2.955619905907007,2.8059210525611094,3.294658392188909,3.787680987606354,1.695212882715499,1.4892080565128774,2.6687489400853788,2.128412842388697,2.1042669470608657,1.4017557829274263,1.0729737311861092,0.9145149690087391,1.1025629748040073,1.043971297682756,0.9208061877710777,1.013309611118027,0.7768593688799219,0.8442700936090082,0.7807863885097277,1.0076466476688337,1.4265550308945705,0.9231199853873758,1.167893906640517,0.7758959737947833,1.134659805808326,0.7931563413794889,0.7761833974856887,0.8419986029678369,0.882969524518429,0.8683828783917031,1.0761233371941346,1.0188820496656275,1.1756779453892734,1.0728165975691184,0.8313374985069462,0.8373715498199777,0.8539827297802546,0.7720672338903226,0.7476493692275783,0.7381693513040875,0.8644614393049185,0.8800048975415515,0.6662035452426303,0.6294849804539292,0.6851481698772466,0.7480915669543607,0.5939829624862918,0.5411187943746364,0.6025882049931844,0.5806253876083939,0.7315837000698476,0.646172089213628,0.7368822391552473,0.9106538322636559,0.8569119942860906,0.940364028124793,1.1137477042345472,0.9577984838580659,0.8889717343049182,0.7742049443707804,0.7351030284548463,0.6078154625312018,0.6162180776564091,0.5400031586739297,0.613930100746425,0.6319057396476392,0.7600987530357602,0.8725478123039369,0.7269746329601136,0.7628189538366138,0.6500155136255225,0.6280639917531159,0.5113406018373231,0.47168844623250866,0.5901481373580005,0.7533117427305787,0.8034556295905221,0.8852085272311118,0.9421192451953189,1.0468613460305327,1.1389743223307847,1.1816852774676476,1.0708331632403183,1.050821006692475,1.0126273068975076,1.272169495737734,0.8295891165404893,0.7092035844409359,0.8891654007089906,0.876238911788587,1.1094226914847307,0.8769063171734325,0.7864085692361702,0.8216434290965868,0.6957226691999728,0.6577315063315041,0.5807486397924668,0.6213679590636397,0.5520958275258172,0.6471843133923366,0.5850836586860589,0.7863537553869886,1.1454218141868782,0.9068327341287283,0.5929166451793279,0.5710900942838162,0.6383465759760828,0.6044968058007856,0.7290163950551416,0.7578738672305666,0.7470304925676383,0.8142614160225718,0.9122667984142351,1.1103546823101018,1.2815115828805865,1.2596213463767856,1.6753335995508176,1.5592235116276585,1.1912877833209585,1.0908619676214226,0.9729936076062163,0.9693873475943333,0.9252016142996315,0.8506466269496961,0.8107443493860452,0.7395499079324073,0.8124192345409925,0.8750285510379903,0.9405124501431086,1.262630588456741,0.9112016452235059,1.116658216492682,1.200998953703698,1.164600658365437,1.2252499541891595,1.179800462286106,1.5185420276108967,1.873353067384622,1.7973475038249478,2.249048048443743,2.278117511928267,1.8856047216610246,1.79918379477734,1.6374449329073302,1.7239163994458462,1.4060983287403244,1.3229280321831716,1.1553033376872537,1.0528874794103869,1.0399741362979904,0.9013976743837488,0.8538180655039217,0.9120230792977418,0.9129299595694635,0.80704773787136,0.8352245867776247,0.9146893284041006,0.8752391683171874,0.9203972792467666,1.0369006492718058,1.1042263947682465,1.0820724472418077,1.2636366678309046,1.4214040397903664,1.4028973041680564,1.276796679029343,1.2908329666378615,1.122561291060405,1.1940507520264698,1.366466289326159,1.8744701593492479,1.6178795688247358,1.6052259151294919,1.347835771367434,1.315107915850713,1.2054757923496857,1.4214415713057986,1.5124214814876076,1.229607225335212,1.363592778285071,1.636122652218699,1.521365216815407,1.3974600819235734,1.6500175546263678,1.7286792447024233,1.5983825613146734,1.5433597992069226,1.2325427458634384,1.2613809868412522,1.248983511720094,1.1127619979637278,1.1373159819379024,1.1668486049629276,1.0286344529843447,1.0110131325927938,1.006313026911388,0.876516810387097,0.8778692494448609,0.8504170731890183,0.8475179915652041,0.8323331122219789,0.8260329131870415,0.8938325469202346,0.94211325277099,1.1478489560126919,1.018601626712245,1.0488168735327372,1.0365687096424798,0.993073842485043,0.9800258393785616,1.1123453192671315,1.0972631142349738,0.9978484280089943,1.10267088759194,1.2156952140186572,1.1758893690123322,1.1044665310446216,1.3578386592873781,1.4993259334777216,1.174960051203101,1.3153007678437125,1.5000921303008927,1.6745107158424761,1.4550568668047767,1.1182175529848426,1.6297676234609233,1.4039260108542857,1.3793772382758496,1.248404806344331,1.0505452286790526,1.1147380072011355,1.3087180489120724,0.9846645809184874,0.9427013180360738,0.8781163606843025,0.9057204557508091,0.8622722665229543,0.943713879586798,0.759320635758978,0.8069859698580217,0.7783480401199921,0.741970974101264,0.9378648877558711,0.871245230444116,0.6970342466668646,0.6627277024054621,1.0665484704143513,0.622279184202134,0.9511502966185981,0.634943652717247,1.1514465367614002,1.3279561897848002,2.073077240486329],[0.5703000701659416,0.5656286036710878,0.7099321758542706,0.5232946026467618,0.6180169957733261,0.5109761181129471,0.5235762588167492,0.5916009065676936,0.5071960115586974,0.4932487240548007,0.4908863960332999,0.5530894541681098,0.5565905814345569,0.5180349053411765,0.6274087605946126,0.6097473607220439,0.6231821698028681,0.687279029348779,0.8241909410127786,0.7856933416259063,0.8898833144725403,1.1299915613231475,1.080724325138526,1.2417570621675131,1.0240093416708613,0.8866727222845622,0.8285563691606037,0.7331614607102186,0.7245771180966847,0.6437040596712631,0.6916104995064286,0.6452652145801169,0.6719455130258774,0.6946058172466204,0.7201047902355319,0.72140391465337,0.763252649495875,0.8439436712008672,0.8522894279400917,1.0402242267311566,0.9693755823820357,0.9351809214567544,1.0527415438967198,1.6512999409565992,2.4377182943515017,2.90742255219625,4.102735434297706,2.7421368810268816,2.087314977813617,3.3228423361710338,2.9839447690633154,2.87094317055185,2.710970827142352,3.239611776816459,3.8072800399182665,1.6537818185404374,1.4423279097983923,2.6547463852387816,2.132670350309034,2.0536758113406703,1.3601980676392789,1.0398349176226642,0.8746238108989012,1.0358062682456388,0.9930881961128553,0.8770722449240507,0.9344415158394632,0.7441993640538087,0.7908553454456634,0.7535332285985348,0.964327658637841,1.3620839119570178,0.870873256841498,1.0996416668588673,0.7458458065399833,1.0736222809721292,0.7718738199695724,0.7630942380882135,0.8374253349393759,0.8719276374150425,0.8990568036397489,1.1083058983571488,1.0579823042568457,1.2020238667889,1.0964295931705788,0.8672951753694117,0.8529550451462418,0.8907782015726055,0.7774291672679269,0.7646308414059214,0.7316075502269298,0.8253367810184301,0.8547955659257025,0.6740739611489841,0.6510844005087526,0.6916364921008836,0.7632732365300753,0.648129134751169,0.6019432528498998,0.6634487903333313,0.6481406648891364,0.7894846194135139,0.7109520112781996,0.7859742256968761,0.9574652148101418,0.9040341090882723,0.9797464483140799,1.1453247450364994,0.9826008796539834,0.9222114029189847,0.8084613897617227,0.7813387701758551,0.6579157766504997,0.6616833942210921,0.582721696926846,0.6367624541016794,0.6428737069584641,0.7511454339973015,0.8380380084520233,0.708152080521349,0.7346494664826794,0.6453108136288881,0.6259307706939546,0.5347456481690538,0.5159423609766058,0.6374467685244332,0.783495616088348,0.8367891156648647,0.9051727768751147,0.9694682905407079,1.0552434262152945,1.1392119097797568,1.1856281686998298,1.0881372469046386,1.069777294138055,1.0343701148040112,1.2950482116787694,0.8644454817202689,0.7448752395881283,0.9022341955884206,0.8793456242903982,1.1042355755857143,0.8753931985702876,0.8026070681438771,0.8369168405799171,0.7286644387970171,0.696647496035718,0.6329171626223165,0.6784528969364965,0.6092701637657301,0.6981669372045094,0.6440100836400013,0.8498105094229385,1.1447510219537773,0.9172561295023957,0.6567202617933817,0.6406956821309845,0.699488545237336,0.6771383760298111,0.7843862570680298,0.8055866267443105,0.7957366186687928,0.8464394086967831,0.9424156676853304,1.1357331796432562,1.2928512613615812,1.268307110120493,1.682037694114885,1.5640397853541983,1.2003049596563777,1.1037356231412783,0.9943467117622317,0.9952874035979579,0.9602211784039368,0.8948149358878706,0.8656566655918062,0.7944062204310427,0.8692389422907022,0.9193245116573489,0.9871095483918304,1.2894850512737663,0.9511810706625545,1.136262140148887,1.2122378841434387,1.1788433595494119,1.2353498038116935,1.1871948133518218,1.5066640711919577,1.8507616563909608,1.7670674267628814,2.2143549876572175,2.2645242610146004,1.8782365591417574,1.7984932283893973,1.6311347182515727,1.710408634402757,1.3941489275348267,1.3004942729721205,1.127675220568153,1.041943539113178,1.0147784417220929,0.8946733790581624,0.8546343677828612,0.8793706440664064,0.873982896150844,0.7886579325688845,0.8105266475211976,0.8656785071522859,0.8310681678687203,0.9007775841308147,1.0019678149974953,1.0509777314137518,1.047371632005407,1.2371848078610834,1.3791759897159843,1.3671277100836559,1.2015028644747885,1.2250671182074255,1.042766785264438,1.1103123194816924,1.2648663414315005,1.7202394698816006,1.5306101465903976,1.5053911415959065,1.271781912005031,1.243661230697399,1.1574530374156924,1.3567935412135956,1.4379904940387684,1.1765102268603433,1.307272710178993,1.5619497059031235,1.4365002685660813,1.3355528963813361,1.6068291086041129,1.6580533803277135,1.5203501816262792,1.5063737197042273,1.186512910703793,1.2413072494377713,1.2220502998526952,1.08353806337101,1.1224961818520358,1.135937389738378,1.0270093280463752,1.00548610638308,0.9886927229564983,0.8750150517974007,0.8899512728336619,0.8347303938244391,0.8233004390275959,0.8141853950013908,0.794240451676679,0.8433798250506158,0.8851761457364313,1.0970677332836942,0.9659565871589897,0.9842758396908567,0.9697224663385065,0.9214980152316463,0.9335370276894419,1.0408390779532066,1.0124683239729133,0.928754690713032,1.0347286685337747,1.1228549076474639,1.0888779565538769,1.0333541124392123,1.265357699684148,1.3985698594672358,1.0910735378317273,1.2373519430464976,1.4063883848778664,1.5986436883805732,1.390567853411353,1.0516842664495905,1.6447372963254534,1.4350473430017738,1.3351157497734392,1.2332735658369325,1.0134429974534174,1.1050164035404646,1.3426946653025102,0.9863240800535387,0.9071422624933947,0.8183959487121034,0.8497097506959899,0.8652502565066558,0.9355825658742183,0.7889626395106104,0.8183055614573713,0.7950393897195792,0.7487157678971776,0.9375847828994488,0.8917955807448443,0.707911586300456,0.6738786645351422,1.0717638582807565,0.6258943065623336,0.9464047693667464,0.6417436288787901,1.197410384186653,1.3598739759604963,2.1489604759034497],[0.5842887409939683,0.5587538564647153,0.6828133315002753,0.5015230286489377,0.5724941570685756,0.5081231927574338,0.5138046025509326,0.5711763335886499,0.48277381514490647,0.4370335162286172,0.4358790579371607,0.5114899159003602,0.4680377418805418,0.4371877848100287,0.5324972766125493,0.5113982024863177,0.5367000297714298,0.5745150298562014,0.6975083353967402,0.6669107173216758,0.7771882564291037,1.0069171631590073,0.9725381127593244,1.135504303309425,0.9384298966626641,0.790125391508057,0.6931158773436955,0.6192013327438869,0.6138786119350998,0.5459313493909346,0.5744131811409614,0.5559320900766236,0.5879089344238935,0.5895998469159327,0.6122311311458307,0.5916526827661129,0.6446384780186439,0.7155268820524417,0.7029404904919552,0.8876662613869436,0.8112646545586699,0.7670609551736982,0.8527321225845856,1.4379240140814329,2.299477543566577,2.8311443930390374,3.9120393649618626,2.4563326100790626,1.8856166869376731,3.0603038565337473,2.62544087528319,2.5511478270906145,2.3566183590142322,2.9111105486032542,3.6424469657991043,1.4392071816331102,1.1817399312911891,2.419217108580692,1.973681126676019,1.8437093510007008,1.2071329731405658,0.8854623924556643,0.7301124334973983,0.8868208855643956,0.8339324189964894,0.7515533196350921,0.8466579661155486,0.6164652132464126,0.7181517908698493,0.6919331804429005,0.9185875070347358,1.2872146103903936,0.7976560346110466,0.9952270528372734,0.657285390084427,1.012135434174625,0.6337992640161875,0.6137009816834939,0.6984494409946859,0.7107456149200173,0.7482084610989369,0.9974329518941492,0.9314434887323839,1.0127856400782869,0.9603934515288219,0.7338381291060384,0.7031788883627065,0.7487701374919842,0.6415391800387398,0.6525621271269564,0.5890682119065752,0.7229824128732897,0.7299459898697205,0.551541389607374,0.5400708609865605,0.596112619637706,0.6687326754662719,0.5606438661662683,0.5333074567215195,0.6418757605961658,0.5825768210959166,0.7667039729889824,0.6669340112135196,0.7785857368283796,0.8945926626340276,0.8494069880022518,0.9242908241542647,1.0628449131676168,0.9336722493356506,0.9051159422269192,0.7956543830210226,0.7633662876285089,0.6368863483017851,0.648790189381874,0.52159378262709,0.5751977475447742,0.574719032018663,0.6548579529991908,0.7375183888161545,0.5948851574523674,0.6419138075506697,0.5711583042700012,0.555391457234823,0.48189579825161294,0.48212286047051905,0.6008089485879553,0.795167334955475,0.8421773101292294,0.9325219061173945,0.9399358045127255,1.0486772926618306,1.1179016153719545,1.1538403661192826,1.0497082108807452,1.0402072096166497,1.0463448436060667,1.275119758739518,0.8056604251035867,0.6784902049988528,0.7826606586492504,0.7694533186825216,1.010601356818628,0.7371593581169827,0.6846203851029027,0.7124035678557641,0.6171964418032878,0.6048873295299657,0.5784232137848777,0.6407974855945304,0.57641760333583,0.6871393847472059,0.614333310850846,0.8062442529534405,1.165251920914366,0.9101926259220496,0.6219151690095559,0.5843386026516192,0.6739033071285557,0.6186839584742428,0.7347183090861845,0.7481046450138268,0.7081103861352228,0.7508882932937608,0.8249448451482546,1.0310914662013977,1.2227066274600646,1.212755906033015,1.661975558175681,1.6184593387588522,1.2080912207535772,1.0877911054255511,0.9309037321607682,0.9185708690488837,0.8751030975835355,0.7993526362126511,0.7816376665612808,0.7175928533021605,0.7952216798854382,0.8046602691651787,0.8770616450884504,1.1992325092877913,0.8844880485359136,1.066736106105073,1.1443946288921232,1.0924256579443192,1.1326601848627076,1.064642606702236,1.3734182630381484,1.7528823348540497,1.623489391195168,2.0778473098795445,2.1836275041934043,1.8012639191747262,1.746677416205442,1.551153860248029,1.6234220215395385,1.3750851497791956,1.2872280091036854,1.1222628477871583,1.0403391394544514,0.9841089604610189,0.8589775151151623,0.8347937883756439,0.8739774568888522,0.8574951328130987,0.7720273415961558,0.7932696141849596,0.85563449738145,0.8302848452942895,0.8901543320874417,0.9923597753038399,1.0534315114927695,1.0534827999007983,1.2379029607799856,1.3738186321206132,1.3519774970489784,1.2044830432975537,1.198158401718065,1.0383744813964841,1.0983525691877896,1.2321050572698262,1.688517302950257,1.4622070353728789,1.5326700563270839,1.2277129382330767,1.18403200236404,1.1102758131617723,1.2804038909896946,1.36340891956493,1.1178643397537167,1.2503490377927802,1.4810807192551363,1.4028346955025464,1.300249125587844,1.5055938667955655,1.6121394548355417,1.4732862121385748,1.4956445734638868,1.173286629814636,1.2036022626167655,1.162457662529405,1.0303190713695796,1.0712744078182639,1.1032212315441907,0.9726205040429454,0.9638662632907006,0.9540490293116035,0.8406999709635499,0.8612472628095597,0.8080777594107701,0.8137056370474023,0.8152849844548962,0.7994200168010145,0.8494305764140108,0.908867349202984,1.123702936229924,0.9737374582826288,0.9914852792460243,0.9688788081791777,0.9168557344447708,0.9131426803592126,1.0163726397820507,0.990482184730605,0.9218890788828736,1.0089140916485573,1.1007896001575443,1.0728890450723694,1.0186777942324943,1.2332565765093935,1.379457185398761,1.0864752085223581,1.2202798907691288,1.3730650170486698,1.5760488040110308,1.3676700218375184,1.0515776099682772,1.5429186859723787,1.3669621305976234,1.281379150738254,1.182545087104258,0.9883005783460646,1.0718044126970012,1.2574638894821424,0.927747021463006,0.893490447286278,0.8707729382100935,0.8898381242892127,0.8421589868959121,0.9471318537419118,0.7515787302681287,0.8160006577280092,0.7816430234298801,0.7333266814069495,0.9537037369892161,0.8972875807261961,0.6917411579457741,0.6710793862555017,1.1022453212329835,0.6324000342413751,0.9530399491250564,0.6497880024404553,1.1541679053622182,1.3112621372666817,1.9996821757592853],[0.7469607476477479,0.6825037926312694,0.7799860476454245,0.5937075508031272,0.6602749319656758,0.6063268357486917,0.5878473019775636,0.6459501531347718,0.5479258453931348,0.48686969734154195,0.49176660906469216,0.5525472092676363,0.5198475757652538,0.5047862702618111,0.591137311300078,0.5557660054410481,0.5902480955965648,0.6323255440975496,0.7703708103815088,0.7362185647816929,0.8716267844226234,1.1069157376076506,1.069274537283113,1.2529818417132013,0.9981928934449008,0.8719135994381649,0.7670311572674265,0.6765713521385102,0.6642089127902399,0.586848358363338,0.6213659456936209,0.5915922680267749,0.6191504886503686,0.6234925970216535,0.6482918392059703,0.6371681413267313,0.6835900593742642,0.7608447140201081,0.7622783273262743,0.9609954834246394,0.8838099194451078,0.8546350462156846,0.9622113894594302,1.5680351224579185,2.397532188878969,2.866590136651759,4.041312473423302,2.648190370593816,1.9967458312392923,3.2124725901661617,2.85686818576959,2.7405943268090387,2.5700605573466624,3.0681613891541035,3.752764744916332,1.5700921276680337,1.3234223891284647,2.5292474695133937,2.05833688259201,1.9434692153339141,1.2845253855097463,0.965437953135319,0.8074325948463674,0.9969869962465456,0.9358978089024231,0.8191943836895172,0.9322958752101083,0.7049928841574564,0.80274947643306,0.7639428983170378,0.9943199940912598,1.3840370793669954,0.8882239652216827,1.0936834528373987,0.7345503774133236,1.0649639831178044,0.7080674080363264,0.6803701088714906,0.7532476099345221,0.781528896890231,0.8103019504541958,1.0561820335074261,1.0060253117759481,1.1183124880784763,1.0332674549141891,0.7918892798451166,0.7590338612297365,0.8012530315684878,0.6908314890229218,0.6906275542974254,0.6434538138131345,0.7861145105133175,0.8001636620139212,0.6082925678584508,0.5908002519164106,0.6489827319014535,0.7248006127903461,0.5956187039395852,0.5782965541677181,0.6958159337298486,0.6391843230303228,0.8483440792270942,0.7281973593329552,0.8444618454340509,0.9993731949053127,0.9347490408370818,1.042393244850777,1.1627793910795903,1.0424661269164468,0.9993222528345701,0.8961656073226669,0.8405718160494037,0.7041294145612692,0.6934164113246613,0.5551749075813116,0.6090503262375109,0.6177302559605067,0.7111692008421138,0.8213946678025145,0.6599692375353574,0.7113837050423812,0.6275795631844535,0.6143276366992486,0.5287917889154538,0.531282478244597,0.6473454333131304,0.8625909591182214,0.912110656982671,1.0275053104634622,1.0352817681263091,1.1559699119849483,1.2537000833785121,1.2699779319713222,1.1633942022590773,1.124069325791756,1.0940632533621204,1.3472598700996825,0.8506257890906052,0.7161290091105935,0.8306986798768488,0.8366738503806663,1.0902002864075389,0.8133410916573611,0.7434544205149343,0.7703073534727316,0.6636629503522996,0.6413537496758831,0.6188531741524472,0.6906210506362274,0.6380526197390685,0.7661547790961354,0.677332843169813,0.8683486232771034,1.211282294572216,0.9644589537088323,0.6932758844880821,0.647880399294889,0.7517782922848583,0.6726784205049211,0.7976987088777747,0.803335153462315,0.7508754088637482,0.800342666198308,0.8904885704299852,1.1161022566187906,1.2924207567292718,1.2807104203802204,1.7158476398990559,1.6299776787987101,1.2293635337513746,1.1354583282773418,0.9882025900314926,0.9880481421737017,0.9483793153019833,0.867387837078361,0.8523114843485012,0.7678143216454982,0.8533382654607239,0.8758486769326728,0.9677577284359451,1.2817846259255767,0.972379910534864,1.1691023932053117,1.2547136577773788,1.1911261176322252,1.225678730641038,1.140554653250906,1.4778104040656452,1.8228443183734642,1.7350777728704818,2.1713836534160516,2.1824017965724876,1.8739403335283242,1.8239418870050417,1.6852217691072988,1.793208270462031,1.4993877165906713,1.4370226511658157,1.3016308647527484,1.189813142165732,1.1997271961133058,1.0586410951037837,0.9968794924951317,1.0852613540167113,1.0984945912916613,0.9691641986849718,0.9814266874223919,1.0911930891552262,1.0578690180769135,1.0432734228161233,1.1650841187645338,1.2531057915081054,1.1954342981819464,1.3563328281462566,1.5144041541796227,1.4985699696411496,1.4155600033527567,1.4312069307953768,1.3021676117554062,1.375835300579033,1.5550874788011062,2.1062414100925815,1.7931502815960223,1.788039820882568,1.5375594424227954,1.5053235704686745,1.3958654304052642,1.5951920971278661,1.6764141291249623,1.4007163761319894,1.5358339020402834,1.7779138159194616,1.6982992377681143,1.5664058272453538,1.7538737279061976,1.8604112095959666,1.7557979424063257,1.6503607284518216,1.3925880001658408,1.399537736956653,1.3916280309787574,1.2829732684748794,1.2952427280548808,1.377426866686564,1.1727197097525581,1.1744631710024482,1.1880604994762682,1.0535003999284627,1.0260656845246778,1.029872878697404,1.033361218254365,0.9917836007352807,0.9981627096549881,1.0908629497570752,1.1221051130479762,1.2943389447690075,1.182449264634626,1.2303373022475184,1.2297474894934586,1.2167091029980752,1.1863138028678772,1.3235547977313589,1.3073410219915822,1.2022104266438054,1.300516830828197,1.4221290223341896,1.3742506827390872,1.2924507649955417,1.545209902313687,1.6782706919697628,1.3596748850951295,1.4808022178543578,1.6686732133051145,1.7989590953343324,1.5875390597839658,1.283445349048184,1.6731001458341952,1.43959902422775,1.4848862770866895,1.337040566706027,1.1833644294351895,1.2073285994469074,1.3549194043546338,1.1048549646415082,1.0977369378711705,1.092385855816494,1.0986274037778623,0.9898233136394726,1.0903261803264435,0.859562803452179,0.9506231827946948,0.9059408921883985,0.8948647828851642,1.024478185835372,0.9984806852656378,0.8357709579195445,0.8050922766474959,1.1862542734259511,0.7543149725077118,1.0737465680597231,0.8106319120747196,1.1393998926442244,1.2663689907361668,1.9180031022757786],[0.7757476852013135,0.7586843128335417,0.8698121783209831,0.6510897326820583,0.7592044626658047,0.6806679950330606,0.6579163715629739,0.7417171350120484,0.6148898247350806,0.5318489261472827,0.5139748322671176,0.6088730941613218,0.5780177897065729,0.49315673456710857,0.5862344372698934,0.6224251269336154,0.6190783327648028,0.6572151170886454,0.7560856821473412,0.7469746151484931,0.8240218677729595,1.0754369541032167,1.0398201918626637,1.1679518885908324,1.0052413048224298,0.8430505038562244,0.7993933250765836,0.719602995768052,0.7319765078652013,0.6911839692123032,0.6727594136379287,0.7201162175108707,0.7307280160599666,0.7250914581785951,0.7657554465811544,0.7275976612008906,0.820654598210876,0.8725024049728537,0.873038805980686,1.0954732679094359,0.9490513803308729,0.8966733116253407,1.00758725399843,1.5467262620202353,2.2406095207987957,2.6711301704214265,3.8700659655310017,2.591066634008052,1.992322378604996,3.1598345359526756,2.8652912004733597,2.7834577744907465,2.6051656842403026,3.1276036212163145,3.900232145087131,1.6638122939537465,1.4237834435387058,2.6109619899133336,2.1640417009133093,2.0195072293425596,1.3130598460428862,1.0031874099621063,0.8321480833684369,0.992378432776198,0.958056490460741,0.8453839985153994,0.8580073361550746,0.696660374684061,0.752739424480326,0.7165720780634687,0.9349625683219625,1.3275816938526566,0.8068867315912714,1.018587361576334,0.714479400813308,0.9967986206118584,0.7606914298846374,0.7535075053994867,0.8498760718756964,0.8705352155825051,0.9400873751315305,1.2225431666881956,1.1453552936055529,1.280157820866378,1.1469286194523403,0.9466897132933333,0.8841389058671559,0.9463989923864604,0.7843447176353895,0.7818762925825536,0.7002404989943279,0.7446174280223239,0.7458964557157021,0.6289023972157541,0.6190945573892869,0.6356291013298209,0.6969454023186742,0.6760725788589829,0.6758984398987805,0.791339124985986,0.7778818292539744,0.9843525010377074,0.9024973812340402,1.0153502850794993,1.2132485464433804,1.1246413171759508,1.2556654083421404,1.3713272555398779,1.2293961936021478,1.1665022787558434,1.0439321491424887,0.9755673432573424,0.8106947245429089,0.7814915951644988,0.6228810838664299,0.6512895135417621,0.6399626181168998,0.6993750197006354,0.7770640872028585,0.6444205853670499,0.6584930201386223,0.6017285727069066,0.5853192894358088,0.5419896678870312,0.5717941592006328,0.7315716163522896,0.9605426305301121,1.0262162736273959,1.1521873816812955,1.2200816654167657,1.3391710761965447,1.4719174571962517,1.4762552130650464,1.3779007850074956,1.3034264378307474,1.227695009259078,1.489969480172084,0.9878742366366366,0.8182422488383282,0.9251610897064819,0.8706180011868414,1.1445901077924006,0.8620712094097968,0.8120869397766607,0.854433576153908,0.7594384029608514,0.7448000828813037,0.73713677986793,0.833796515031401,0.7512655805196288,0.8800484261229876,0.7917058064233872,1.0163580589536152,1.2343604449531058,0.9942983380402518,0.82114677974084,0.7692166186318578,0.888076454256918,0.8344291390306953,0.9667183291846451,0.9635718342440148,0.9069479533648052,0.9265457764799512,1.0276447959557509,1.2488714376806977,1.3433405679843633,1.4027954537362775,1.8143161742140221,1.7203696062593203,1.307000116132884,1.256160170156695,1.10416501481323,1.139513720039421,1.1208609862374443,1.0499125851803137,1.0518462649741611,0.9373773804908804,1.053000466301597,1.0883046388390647,1.1957907230054934,1.4284454734879009,1.1790780368527025,1.3840280288884605,1.468387236559804,1.392354571967906,1.3986250201198762,1.2677711931835387,1.60007926474213,1.8637521121073515,1.8119115619069381,2.25482233086552,2.2092205217814773,1.99566890637934,1.9496136718810535,1.8809499553807243,2.024393968705488,1.7207745120139453,1.6564945662368993,1.4899029001510127,1.3741922419062798,1.3945715272829327,1.250376079228725,1.1674127603585578,1.2245289844852736,1.2441657312654666,1.0955434165704916,1.0850048543112247,1.181660215195042,1.1359167056139272,1.102478981779316,1.1998611947090838,1.2670032466761567,1.201154735262033,1.3407171150690302,1.5195756871081945,1.5067206354705969,1.426491376978855,1.4530544978535356,1.3324805791159646,1.4123720596886584,1.5980186796957068,2.179317729547241,1.865644362928339,1.8562791331105128,1.68158695514741,1.6738058558771274,1.5819359625233111,1.7866493042751683,1.8610256352190049,1.5667255497706218,1.7296056407847868,1.964577836689582,1.8450791009100145,1.75079598025592,1.9780259957429809,2.0259505129218462,1.919102196807531,1.8252616314756727,1.5780790729341265,1.6352857124139641,1.631128037296695,1.495314431310112,1.5000579774323965,1.5642230256282454,1.3852719041312391,1.3689575955440831,1.3638849354928788,1.234671875926092,1.2059646452357047,1.1866983673576725,1.1587987327947078,1.0816724970575393,1.075717474033961,1.1684709179937502,1.1544717574095564,1.2875988217701153,1.1961913811311242,1.2582722621016258,1.276423198726318,1.3019316138433572,1.3258570613182472,1.4496323538409537,1.4026405948560212,1.284398485876725,1.4361604309794311,1.5205500170680943,1.4510025980900247,1.4185205860022925,1.6717529504037059,1.7424028045722373,1.4312920842460297,1.61010638901861,1.7861487784836747,1.8740631655689477,1.6685006000000946,1.3186280011458122,1.7532425614216298,1.5148366476480206,1.5440677622400139,1.38887989020989,1.2211651178505223,1.2485608159117545,1.4460298284624151,1.183759310458302,1.1454930258446216,1.1571251635415607,1.1781690543520809,1.1298801315263098,1.2396782516871043,1.0220294502018292,1.0711768145580252,1.0475851961648786,1.0306496693071168,1.0778529954775373,1.0963901533223868,0.9428187924448503,0.9138024755456989,1.2313737311787605,0.8483864100516207,1.1439877684459903,0.9106479863635248,1.2815916125965248,1.3393968802015224,1.9971891614827468],[0.7144178486474252,0.6852365489987272,0.7564152503108779,0.6224171212318945,0.7235476412954651,0.6629621640772565,0.6733909529668494,0.756765928376357,0.6398403173384137,0.584277897324054,0.5774008281701742,0.6470479167757799,0.6217538218714047,0.5535429603807921,0.6314092029133648,0.6608537517144693,0.669231933450251,0.6855376013920119,0.7240148247555129,0.7247972004013233,0.7720920847297608,0.9740655447293278,0.9784018661750535,1.069014159191539,0.982226795171655,0.7997510642118454,0.7636921928709153,0.7239879585878446,0.7604356815569953,0.7223971076458116,0.6991780185367852,0.7562015124973847,0.7725780706092743,0.7548031314963229,0.7898327413657095,0.7428712802416454,0.8260613501516516,0.8532360803040511,0.8386572888484217,1.0447737776185986,0.8612108471056917,0.8127215712153775,0.8963656461454608,1.3906769543580833,2.097484383986276,2.601376024379422,3.6984009502017328,2.3430438263924414,1.8512023776290205,2.945080295948274,2.576197345649679,2.544371207309102,2.3380616494413835,2.8907502497354036,3.8045184009148816,1.5066460246248479,1.247879575277031,2.4706241836866383,2.088603762719815,1.8826214069628024,1.2493291839531575,0.9741501101570853,0.8129050451499247,0.9093766905826843,0.8884262012099432,0.8092490138766972,0.8158455773264088,0.6975486112577379,0.7428921454350494,0.7403939211873589,0.9548240458489737,1.277873375366979,0.8059819073057924,0.9952504422885146,0.7333134571586037,0.9876902344112726,0.7613404515999215,0.7463501359393604,0.8324563273947511,0.8298283703704025,0.9335252231333095,1.2004333046183422,1.1255192928144129,1.1849688624261592,1.1026770669138548,0.9300139637758851,0.8568585293458676,0.9231739923433752,0.7865101646318248,0.8017842989986554,0.7157531755436914,0.7750358730051922,0.7662077163305256,0.6733323826179967,0.6666991449520119,0.6888112078191846,0.7383897425626748,0.7217346843346253,0.7206191227938031,0.8270205572907547,0.7939085218756695,0.9864168902253857,0.8906589654212735,0.9809031047190497,1.142934705015991,1.0555305172909029,1.1325663687308176,1.2366949150502857,1.109511771057229,1.0804205776116633,0.9853525778430946,0.9576739606240887,0.8187660230873344,0.8087598215599012,0.6583595107679885,0.6815438319523092,0.6758469534601539,0.7158661031452089,0.7602466755185964,0.640815204662044,0.6683728688770697,0.6369389172047,0.6104473753326212,0.5804760597597839,0.605019916658947,0.744507312835242,0.9457518092881162,1.0099392906952858,1.1117055886047382,1.1445356243364868,1.2273311484133405,1.317276620751715,1.3488759816211298,1.2625034389942706,1.2297447150202787,1.20258963690366,1.4364216458651768,0.9627697307379568,0.8277498806932176,0.8997012851871289,0.8630579899489951,1.110217515890492,0.8307367557128882,0.7983485528460683,0.8315747919057581,0.7694248523795082,0.7613968631816712,0.7613615850500145,0.835242966666472,0.7686560952754469,0.8770002326265671,0.7982426571673786,0.995690652965572,1.2409535765819995,1.0039566395200379,0.8350441052072733,0.7909981132843474,0.8911179431659915,0.8459395322406609,0.9483984063242208,0.9469716861173777,0.8955142781950964,0.9056453184593092,0.9971002025263396,1.202118885925446,1.357201013884136,1.3536235332946438,1.7774436940691716,1.7188802854749257,1.3152393761164434,1.228745241073937,1.0867694554182181,1.1041766474138,1.0800033579872517,1.0187303285251152,1.0143228051492204,0.935744571974148,1.0224994028479355,1.0321724775367709,1.1289267065906594,1.3669072123949544,1.110499071463204,1.270054086818571,1.339430181773651,1.280443169109678,1.3061576406909738,1.2089372646468919,1.4859452542988993,1.7807501341873155,1.6861630870862103,2.112030721352711,2.130791289138132,1.8861155466895025,1.8519636690634733,1.709913157811428,1.7895804116550889,1.5424354661990065,1.4507646957611324,1.285825000358437,1.1940105625884838,1.1457719588773334,1.0315509715158113,0.9934947609591851,1.0052203771557073,0.9957947200779116,0.898226610971176,0.8921096594037232,0.9419671336788485,0.9058833448219754,0.9360083344025202,1.0195017365506076,1.0661588179160493,1.0476150944839548,1.2244205326981845,1.3611983019331613,1.3496406365606288,1.2073582912303729,1.2129930747314472,1.0604177711742337,1.1298723892991431,1.2960510898405362,1.7891539333847826,1.5417898173787108,1.5620850313422683,1.3511017855550527,1.3287718824751513,1.271386696596415,1.4493925210579373,1.4993010102960276,1.2640257460681479,1.4139879385040015,1.6213614835610428,1.520364326158799,1.4531089666939707,1.666175553983807,1.7201566121852963,1.6078001259257408,1.6148092659750477,1.32038780707558,1.391737588387289,1.3501621586238828,1.2117633825688752,1.2502812135395405,1.2946558412330018,1.1686034117582018,1.1477737399422616,1.1224187770376624,1.0148255728242999,1.0183364571683287,0.9645593046663619,0.9372404081765575,0.9003598347483707,0.8783859362546825,0.9273461358426636,0.9344790863252757,1.1168247323088518,0.9783299613511426,1.012943799297256,1.0135733486573344,1.0099636046164973,1.0499030741973332,1.1432491681505785,1.0888688185992366,1.008429834478276,1.1351332477150968,1.1893789158283272,1.1441396416916298,1.121523989130656,1.3342701321494654,1.4354343239663825,1.1317322833421852,1.3030265109182457,1.4333246016420187,1.58810600252339,1.384579389469055,1.0485097674319082,1.6017468748277308,1.3949832362112886,1.313767566513013,1.2176735791782491,1.0187234983818507,1.1123470624447753,1.3483731696788364,1.0243181667642118,0.9333081386674673,0.923329248501522,0.9531834386613677,0.9848573834554056,1.0951424314398879,0.9344921599264316,0.960563429414102,0.9251136993731637,0.8778149085539657,0.9937375718358351,1.0107294646897964,0.8133420557612102,0.795548424627889,1.1784936744147019,0.7589426428172644,1.0576133477599141,0.8057332464543827,1.2527815169018577,1.3184477257050575,1.9958233139621255],[0.7930473793695438,0.7621687804073175,0.9102120093008045,0.7115515725946566,0.8565805412273384,0.8019627361208586,0.7944233228488813,0.8665260334860083,0.731077245876757,0.6516633206492624,0.6320874763630699,0.7256044283639668,0.6905487384229289,0.6046552455013899,0.6671985601641804,0.6951792349741138,0.7030265196722676,0.6985523763007035,0.7198795216609146,0.739015371421859,0.7865771809447869,0.9759280967513221,0.9880213693957397,1.0886167225656656,1.008924765157474,0.8180445860321446,0.776490161748174,0.7557338797313908,0.7960122837893983,0.7716196494618381,0.7117381708655806,0.803437105310714,0.8256264656927951,0.7887226834421831,0.8213548554595741,0.7626033689410481,0.8609675053659674,0.8784684119293092,0.856856584748819,1.0539806490191337,0.8648843424772255,0.8094825315132442,0.8549290153174768,1.3316588434074732,2.090344091825797,2.6169280070126,3.66720256937068,2.2526288866527215,1.7872623696936414,2.8480667661272987,2.441642750987299,2.447143089068749,2.2242492872235524,2.740207609885168,3.6937122307128503,1.4556382177869456,1.1758623321909933,2.3396548840933713,1.9955235755740086,1.8241949166601528,1.1980396760768703,0.9270333474831545,0.8058344695972425,0.8985366694115867,0.8506018908641516,0.7954163824540301,0.8384218202301604,0.7046662315396535,0.7744118043804512,0.7748372064758203,0.974891462360651,1.2694586648457473,0.848063372067085,0.9926605308892967,0.7494821561689511,1.0243779384059235,0.7506608326745126,0.7437510301081304,0.8263938200463758,0.8242736485440348,0.9429578453155433,1.2124838185240403,1.1631446192742962,1.1920120499612454,1.1332765600005623,0.9689569079918727,0.8695651691967925,0.9305749390323126,0.795213324150827,0.8209925076618366,0.7192486420143303,0.7916518935928273,0.7774590143546021,0.6978708654599314,0.6946495866392396,0.720513844771507,0.7637613671209754,0.7665077953381692,0.7995016059393408,0.9441533795289418,0.8949932177388602,1.127936037180318,0.9969140890073481,1.1246000617572567,1.2774065449614795,1.1958892080661114,1.2996844765749473,1.3505844630143362,1.2620542225132798,1.2404482402297314,1.152356619299085,1.098745750150947,0.9477830180073765,0.9262670231776026,0.734487512504538,0.7424457525955548,0.7248408388087911,0.7293365987143268,0.7563650109641831,0.6489530479872422,0.6812317396751207,0.6836459783155325,0.6586863543647083,0.6478302109114477,0.700689418447752,0.8496489890571277,1.0871985770290944,1.1670108045175227,1.3049448869525146,1.304881556015737,1.4087153247909538,1.5006392717968582,1.5019447706682871,1.4104303569225636,1.361011336451623,1.3396825655603866,1.539339349189154,1.0332332154308168,0.8708094293820025,0.9239054554891883,0.8685368291626854,1.0729555670086384,0.8231103983886954,0.8163734031643554,0.8537289781783227,0.8160826054469132,0.8170956179877215,0.853672530883623,0.9458333477091193,0.8890397643946435,1.018699459292921,0.9132325581280331,1.101205774893958,1.3775926579247724,1.122443007200631,0.9608293773219388,0.899755570552263,1.0219568789750892,0.936149777736162,1.0618802877771194,1.0379069886761452,0.9507653886699569,0.9495682253896549,1.0290378075271682,1.2376377277320774,1.3917750688184678,1.4113154765900706,1.8190665336128533,1.8163620183659221,1.4050760128743924,1.3303801610692407,1.1577597314804062,1.1791650184225757,1.1470359839892201,1.0837496692285313,1.0968722908077306,1.0017041784689822,1.1173185634870537,1.094206466182423,1.1926551966598553,1.4107138671175483,1.2231794982355564,1.3706741234476325,1.4275620163254885,1.3492847315306828,1.3590528829394652,1.2333310331990943,1.4928492116048058,1.7638974251536386,1.708417009763633,2.1402680986954623,2.17707897747649,1.9550170112163079,1.9450146468446388,1.8196962574828128,1.8959210961698825,1.6932842005474544,1.6443809441097932,1.5172731219818534,1.4113913797572157,1.3800938729694388,1.254334916838851,1.2059771923632312,1.2718783748083415,1.247059113723654,1.1279599770409996,1.1280366262057506,1.1885000651446977,1.1520295421699829,1.1210570943170854,1.208671332689583,1.274737684554979,1.231632982054977,1.3739200297754222,1.5056206667857794,1.4917956766682228,1.394181530605606,1.3857264188922107,1.3050281315217327,1.3549566916164526,1.519885481716121,2.0013437011623005,1.730471383696199,1.7997968966569142,1.569701263810726,1.570434451300854,1.50729463846649,1.6665217538109054,1.7142457237428987,1.5094190448903424,1.6504825851945406,1.8360923570421563,1.7785730284924706,1.6955330953015921,1.84170642274645,1.9446875040070977,1.8409769331518784,1.8249043623138261,1.5658857031443394,1.5757482343916474,1.5480038002047776,1.435520605876659,1.4675862770318802,1.541028891701124,1.370659624402937,1.3777912923056093,1.3397654864039792,1.2290358204937615,1.2130317255272163,1.1863131857553855,1.167303658372003,1.1284177274710738,1.1141955680966418,1.1668995055240232,1.181442719127259,1.3470076429335105,1.211295150973125,1.2483786866590352,1.2623785379690293,1.2684732402659897,1.2910028726126057,1.4001146626840748,1.3426507931487772,1.285336989062419,1.4001612659297018,1.4553122386818123,1.4073457749779748,1.3926502134178933,1.5790649574126632,1.6577790240064143,1.4106484375536934,1.5584697323297407,1.6481794889278527,1.71946938775905,1.5745561831763648,1.3324912390835761,1.6491060761775633,1.4441736791916824,1.4268289984048985,1.3290217123861707,1.2274904696025386,1.25348330535011,1.3871648627848447,1.200145301516913,1.2321021509999754,1.3151994367889894,1.2985895313670384,1.1904497405210757,1.3240766291888524,1.072771774029653,1.1397513267927508,1.110923625312141,1.0922685576512796,1.1742002982798114,1.176238979315797,0.9878255307191715,0.9533545562208746,1.3320822251853932,0.9097741406902101,1.1506946581628432,0.9335972422030987,1.1998758259841105,1.2862549379744863,1.8728130067836328],[1.0225890715598065,0.965865046282833,1.033284925041019,0.8304489033249902,0.9052758446960848,0.8692995732011697,0.8220321315353847,0.9040243087871004,0.7768434283464988,0.6695351876518392,0.6548328745389729,0.7429230179599237,0.6759913426016227,0.5933690211789131,0.6543681986471451,0.6937442814730197,0.6871263388350539,0.6892698809911725,0.7484246229767842,0.7437967258475336,0.7977519067898936,1.0082600107405635,1.0273416858804947,1.139554318451719,1.0362823540443928,0.8322428654129418,0.7894487069672954,0.7414178935694353,0.7763850436176298,0.7657637799458499,0.7168899462603131,0.8115625414574503,0.8316622029296606,0.7927896008594076,0.8342770509773917,0.7748290580142935,0.8868800582962533,0.9125145525355985,0.8969325825898643,1.1392245377475465,0.9234169974427663,0.8526734792974797,0.9414003369314665,1.4338345730736437,2.1252847398822645,2.5754724901536887,3.71302746382029,2.4067592716967683,1.8844614237503583,2.964859958754523,2.637908095301924,2.607077640882131,2.4017544993677884,2.9030579758978807,3.8254227345814718,1.5624306959703869,1.3008952461471108,2.467489229747121,2.0969215879407423,1.9258473071308484,1.2784849707538828,0.9978000828642141,0.8386403626557976,0.9408188788033723,0.9161271171626414,0.8281441439385068,0.8441720991555283,0.6940019177776435,0.7548313085625327,0.7459990069614745,0.9381695801340562,1.255831302123846,0.807651668012101,0.9958221144440095,0.7120034351766682,1.018126925082751,0.7698108831539463,0.7666818253970954,0.8618260833427471,0.8660358442828179,1.0063451721107666,1.292857648643206,1.2313746637579204,1.3200124449004798,1.202781803417916,1.0262551329336327,0.914098734366218,0.9750880068950111,0.8219426634421768,0.8426213765754454,0.7307447314128321,0.7672432196580248,0.7773508591408196,0.6870964637146428,0.6861305269121097,0.7124743079940463,0.7379028403839937,0.7741734606529184,0.8122108193951285,0.9632948518396631,0.9119219053069505,1.1526379923430023,1.0430796469172923,1.199259794371014,1.3663968072230113,1.2799688901751702,1.3964376949677726,1.4659398021867456,1.3667504885185175,1.3259604472671342,1.2247905598181508,1.1296753169513378,0.9523039661695218,0.907114907421735,0.7198104699715053,0.71611198922072,0.6966387153993038,0.720367381886127,0.7891047766912026,0.6595904653448519,0.6836313294617707,0.6547100133539879,0.6326391175911152,0.6196379246904473,0.6863934105460507,0.8307756916152502,1.1147136737712007,1.18265589078343,1.3426856958613964,1.3651045279685285,1.472516952289143,1.6225570617070002,1.599877876574425,1.5088451541083672,1.421522943889735,1.3532111767006474,1.5899828920043972,1.026096910604119,0.8520280011070289,0.9380942243439276,0.8609867377794664,1.12964731788598,0.8500943062695973,0.8324637439482762,0.8842467150061285,0.8161751510257691,0.8054176833515284,0.8351682527566524,0.953427191361892,0.9013419494813392,1.052389770123466,0.9592958510896324,1.1690671262513213,1.4340041150904874,1.1357962571967686,1.0012695912799663,0.9240832028902928,1.0565860971619536,0.9632091558984057,1.1050256711669417,1.064618320252847,0.9744969572240141,0.9761852275457157,1.0868076534696554,1.3054953358565116,1.4191715555386841,1.5020725982972571,1.9173206687818747,1.8495115834398912,1.4152511588040404,1.362032937297374,1.1784436543292485,1.226375643191667,1.2074863142171004,1.1389492279696896,1.1619252913231601,1.0499357353138037,1.163407047402137,1.1644891929324326,1.298656139595507,1.4859290293059968,1.3031436219431767,1.5009919538498893,1.5943733519742624,1.4856091833124958,1.4828386699011395,1.3101120273397615,1.6191414964626425,1.8148190042109247,1.8270971293625546,2.2906585799719807,2.245137271782455,2.087288065989832,2.0440122862113483,1.9570971037679064,2.0736986745085084,1.824843382916427,1.7827039412002732,1.650732936906322,1.5249765641041901,1.5497089326264597,1.4131886058157497,1.330623182505413,1.421521179567899,1.4496809449626415,1.3040564635697869,1.2779886817290127,1.3993289911492515,1.3748239677167273,1.2975185853755404,1.4108391676758734,1.5051966506449308,1.4284974759219935,1.5510217438662999,1.719209608739883,1.6932617658337423,1.6784555352322987,1.64807165266399,1.5602150542788706,1.6435590807187468,1.8170361265101123,2.4029084167245243,2.0379225494117468,2.0241698935338874,1.8520662242035124,1.8525470791349647,1.7625098502976766,1.952268991844348,2.0124546647189865,1.7564116009341382,1.897891410501639,2.1407345247401253,2.0413483164428605,1.9261944058673468,2.098279721301617,2.223770615314465,2.0909843524094414,1.9849456092103523,1.741515100185939,1.7618137054231653,1.7617950025866391,1.6484391488755508,1.648919322860393,1.756874952808825,1.5470641364813045,1.5450399786354596,1.5805994760402422,1.4478281656300047,1.3799891158050852,1.3964960726941922,1.3938235067217453,1.3273398214952377,1.3191579593664724,1.4177000799246935,1.4133785968838841,1.548765041184397,1.4450546933349213,1.5060208406661317,1.5313456326940758,1.5511382689412474,1.5517161422769654,1.66034918477103,1.6345944650229272,1.5300809228523506,1.6491738623134546,1.7304070889991072,1.6648333067536811,1.6195637651527208,1.8462315185640803,1.9311519224046032,1.6359550185835345,1.7845182567197813,1.9219632874217938,1.9362738508678157,1.7788211072337237,1.5305089714757627,1.8322969041972563,1.5965029723530513,1.6715432151166023,1.5306174659600067,1.4123823180278332,1.4174838908545655,1.5525444250079266,1.3417005977960228,1.3502179822392262,1.3992898706552785,1.404412255719028,1.2764984396321217,1.4062276691586169,1.1448504570728375,1.2288149894283626,1.2091612046016256,1.2406286670735012,1.2528877556629463,1.2552124176440316,1.152592783667645,1.1273383945833304,1.3820372511591341,1.0352733193983943,1.3526395203502763,1.153431052811602,1.3426099177051378,1.369068571051715,1.9196079114866775],[0.9647052079273815,0.9325068581963092,1.0523416029197896,0.8513014690523683,1.018666431193866,0.9534851382534024,0.9821767896821999,1.0816099376791417,0.9257984636664867,0.8493258013827856,0.8369547395914453,0.911266270441427,0.9401584813979477,0.8036584765889005,0.8834884163531882,0.9681449988602144,0.9650912011552961,0.9677875160502791,0.9408150124139297,1.026361179853572,1.0652177353302044,1.2601074536770125,1.2755869714464179,1.3497085077186424,1.2798107109203554,1.0786070492342825,1.0659710596097929,1.0124778882416092,1.0667327826290625,1.0580975096990934,0.9899157922372268,1.0940206037620344,1.0914948444716588,1.0951216805446338,1.130683438284556,1.0733383049129732,1.1596341716526175,1.1733627793271155,1.156815097801748,1.3680419007736189,1.1718214190520344,1.1097721456185483,1.1412707680968166,1.4691044617910645,1.9969309544278238,2.397384140198762,3.51170479438931,2.321123453141638,1.888625394918626,2.867914692880858,2.616536578231221,2.6168342083530414,2.410307796435498,2.8797661301289708,3.8670944747427303,1.7183273505511338,1.456404534057765,2.4967739430965294,2.1843824415010658,1.9736468642011267,1.3925645042716202,1.2289417993278309,1.106050420669533,1.199252412129964,1.1608136589588571,1.1177952352428968,1.052811284762215,0.9926388178685637,0.9672617971110627,0.9550968757889758,1.132889243486239,1.385465219535713,0.9951520925332817,1.162363218568084,1.0014316841089448,1.1520734241011719,1.067375939547968,1.0792404229598573,1.1664095697309504,1.1506214149917264,1.3033355964286382,1.5779322168414245,1.4666586720258683,1.5462189090242677,1.4299879930252297,1.2951598763931529,1.2062876180390931,1.2347236887041537,1.1271662726978184,1.1318720781022598,1.010488833773509,1.0507745152700796,1.0140478027226203,0.9640861179364515,0.9571900972087146,0.9364308431418698,0.957258597163077,1.0135424799358275,1.0445256570376875,1.1701721366676805,1.1585690936696638,1.368589466426721,1.2865608276807907,1.4077665824073913,1.5409640359922623,1.4827233700365303,1.5550854959660967,1.597738212066719,1.4982270637736506,1.4747906220344988,1.367166518209662,1.3197214408924425,1.1571773899003082,1.1239161045565407,0.9765819851210242,0.965901131019459,0.9444526780960314,0.9330307554908585,0.9599345612710534,0.883621646209367,0.8828243638445736,0.898720817975324,0.8599566128234684,0.8410748092848392,0.8684674464376944,1.0268862535806986,1.1874217241617824,1.3454593502411816,1.4916561814259606,1.5230075506370988,1.5840250262318814,1.7165354568006068,1.710929156929824,1.6536478725313137,1.5751065112476996,1.520492756274479,1.76935269979104,1.2210088804064942,1.0484304209256543,1.1385520934925129,1.126921821304998,1.3700585782941674,1.135496685595418,1.1092149781405578,1.1511175903731161,1.0842023000909091,1.0512616451236352,1.082850033987026,1.1824119720428947,1.1174971094056358,1.2250676045619906,1.136098699615147,1.3368304975245755,1.5471511040010637,1.273523139983408,1.2067665122108577,1.1466826824708354,1.2577478876907708,1.2094286688842018,1.3266553179696634,1.2964908352305613,1.2244298067285426,1.2149870294127532,1.323668615455014,1.498232044967364,1.604711895429678,1.6407464392112359,1.9916043551286369,1.907531818059402,1.563261762988023,1.5094701060860045,1.3674134662070443,1.4352753109264673,1.4310419462143114,1.3841843139905803,1.3965072300954888,1.2979007323101184,1.4129144533177556,1.4120593639873182,1.5071043264520598,1.649520618456326,1.5001992400268287,1.6502938837799899,1.7386688159681514,1.6421426959734646,1.6554663609051679,1.4984365907738502,1.8012848373311285,1.9180472158495783,1.9172641202484786,2.3223579210920704,2.2647668146461055,2.118199779218276,2.1160329216924025,2.0521292037599554,2.1596177380423907,1.9102698002881915,1.839315866169858,1.6756395247616405,1.5836171707133953,1.5588608260106267,1.4540402492578732,1.396284460183275,1.4252335314538418,1.4371232100945157,1.3190646564938695,1.2874585504116622,1.351167889931077,1.3277972321850773,1.285291447778004,1.3608040666403536,1.4203163116306763,1.3663308052838674,1.4870000686293596,1.6222933443402183,1.6231608010407095,1.513043636592635,1.5175020730577138,1.4353940972353085,1.4964424458480956,1.683557411733364,2.256188518638396,1.9192858609560968,1.880021528134801,1.749039461474684,1.7701063493910423,1.7175421708626613,1.9060605413586638,1.9477485995585506,1.6976969620264653,1.8774379660060092,2.0835306291559443,1.9740861435933308,1.89558455298834,2.093777063283477,2.1564611389936914,2.0422562533154935,1.9713966060008195,1.7269662669079595,1.7876440107405884,1.7735236326683872,1.6434565880124443,1.6768391082003982,1.740121855289382,1.5875928957478056,1.5729412087649657,1.586058197374362,1.484299155805923,1.4396869194209823,1.4050152685425048,1.3772092887890606,1.302672853289098,1.291883499383397,1.3540653295945984,1.3330768668760309,1.4541336613076117,1.3513697124172195,1.3986899415242853,1.4155311753960058,1.4539884836952421,1.504807112711292,1.5913775852403733,1.510259306418891,1.4444306912220533,1.5789254938743702,1.6054826983266521,1.5408122983408412,1.5416412536635573,1.7378935921717633,1.7802862328684679,1.5110208143857229,1.6935991786337479,1.7874314430576892,1.8158772924092974,1.6484173078832314,1.393474162935143,1.706085595174108,1.5438212044895687,1.599422037658883,1.5000628756079977,1.364023673766289,1.3978321510944198,1.5723713280567713,1.364575630723634,1.3236782549496748,1.381195367614548,1.3509517328342724,1.3481105438312766,1.4736510847642854,1.2850527419171889,1.3252927279610744,1.304144776749096,1.3046315229714196,1.3096294131263502,1.3505296689798176,1.198549153855337,1.1681565788810946,1.4594961509517972,1.0807374156531548,1.2929853555589041,1.1474186424765955,1.3757140553136753,1.4247287273168905,2.0484990881244918],[0.9613156164728175,0.9322651553569441,1.0208354504444797,0.9037107504221129,1.061102695491062,1.0054913095695304,1.0358840446468147,1.1241897162220869,0.986741910480021,0.9382929205934897,0.931730015557036,0.9841286326219065,1.0165596850099305,0.9114030680462631,0.9717153180584456,1.0445307929815055,1.046536863086007,1.0596040863716425,1.0543701471970104,1.076380183894082,1.0856240015269492,1.2074893137364235,1.2437600270887466,1.2852657743299896,1.2820696731201047,1.1065915364948857,1.106738785870501,1.088277395554463,1.1498806413135403,1.1255829707102125,1.07773548738892,1.1633652303567277,1.169282363085515,1.160426194346122,1.1910431005323663,1.1387646005457728,1.2254647168279411,1.2267280693548162,1.215258313242502,1.4115302928881175,1.1830012449279887,1.1231986026615168,1.1821680155382726,1.5037368578127182,2.0217703636197735,2.469120537840824,3.516438348962665,2.2885094909233334,1.9180510142403275,2.8509617028887364,2.5506068651747213,2.584104046565655,2.3764377065818905,2.837723267546784,3.900014505940211,1.7415265039193788,1.4963037146849392,2.5286140659725684,2.2465335320438773,2.0226480564730607,1.4923402275371322,1.3117825106878043,1.1655572503710137,1.1786298715355104,1.1854830095415616,1.1471138725086691,1.0966559954453696,1.0627587152496596,1.068942473371973,1.0547662799707742,1.196115561642604,1.4196819654153734,1.0759738212429026,1.22776221875316,1.0695394761444046,1.2037508298167439,1.1353356164383837,1.1380459332797674,1.2058527814159545,1.1898925795243005,1.3569472096147706,1.58943113968804,1.512603023554456,1.542400227893736,1.4633022144081338,1.3471615268758608,1.2503226176066897,1.2904014441003968,1.1726437714693787,1.1987264460622986,1.091674383666786,1.124749761190686,1.09658405011703,1.0514818354502025,1.0392694757300707,1.0219103854642702,1.035318595209461,1.0963108306934353,1.117247955428522,1.219714399404288,1.2199135847580047,1.3956393550147186,1.3439435626497378,1.425270127054475,1.5795468577261451,1.4896334366244033,1.5427046569883889,1.5895748951766788,1.4949931714512033,1.4874457714989588,1.3899245610374693,1.3605561696103592,1.200531407427732,1.1907425861498675,1.0563673242289167,1.052389729213927,1.0534282627856726,1.0321282442926902,1.0436917905970027,0.9791578876082605,0.9837735025164005,0.9873962281863955,0.9357715336142698,0.9445318842315132,0.9666804612760036,1.1012451651581103,1.254712535939871,1.3935738979826768,1.5128928376475197,1.547977954636209,1.6091073149201531,1.71465041616328,1.7256234422093952,1.662693090397417,1.6067837437087193,1.563515123618069,1.7562250725402309,1.2935093150205943,1.1333399709722756,1.2010471083058027,1.1620097802804674,1.37539262363298,1.1603565459672327,1.1554126472286617,1.1921464667800006,1.1587702801762683,1.1375149827523203,1.1640518245775124,1.2451234107872027,1.1712158460695417,1.257960084559951,1.180754942704772,1.3629186987293316,1.560408836678656,1.3219310810082228,1.2547867064122948,1.2099112179702332,1.2996846458338531,1.2633854377254978,1.365921531361337,1.3495508167428723,1.2958147952628907,1.2746328991977864,1.374889394316607,1.538962449598486,1.633943579015923,1.6697612347480368,2.0106189693036787,1.9487143206937687,1.5990582773674795,1.553941341566833,1.4196422688912582,1.479264331205668,1.4780347849017572,1.4335870291246071,1.4442466548428765,1.3659370800248176,1.4609907969729208,1.446712065317194,1.5433480441705236,1.704363756269998,1.5310154704272925,1.6699794646753343,1.7332047681988123,1.6469453643216678,1.6622710983935771,1.5374623207229834,1.764970429030456,1.9562761083384042,1.892113280050843,2.26032016069528,2.2289429798429965,2.0783579643348946,2.0781944435538873,1.9937845549510858,2.081411943205924,1.8844785288434498,1.8058244460859605,1.6437946535603387,1.5553121398819458,1.4863137979630634,1.3865466175093044,1.3550201236671984,1.3464279129160415,1.3275317179720076,1.234195638216163,1.2038302364207547,1.2153854198381187,1.201359851887787,1.193495736437614,1.260582806734027,1.3024405222454378,1.2708812978424173,1.4299804079774328,1.530797782446982,1.5215256865515627,1.368596174276842,1.3636963165414084,1.2584935975661193,1.3141191024393966,1.4826154289446303,2.005797149693696,1.7068248115009879,1.722637057349646,1.5896919574387218,1.6104718651812757,1.588885932859909,1.7539480595291248,1.7618606990759742,1.572061832880763,1.748323709053357,1.9061194607563041,1.8180621023505943,1.7875179382547608,1.9704653293149494,2.0196969858986398,1.9115752946419098,1.9416385775775615,1.6560264444349657,1.7342915892883823,1.696437627028441,1.549474755362193,1.5925124234967314,1.6362089413837637,1.5076512620450435,1.4983852334610843,1.4673562246205942,1.3782553879157233,1.356881508803138,1.305507759121,1.2680200724990631,1.2110815669371422,1.1881664475803473,1.22653524148618,1.2113969544190186,1.3365466201816516,1.2227000954235803,1.2405195370217152,1.2570823341896629,1.2856704799688825,1.3695791756227822,1.4350418049826497,1.3342429364784003,1.2942516032683635,1.4344768645492376,1.43128675943124,1.3683613747680714,1.399216445148787,1.5710164165488476,1.6084234413936829,1.3400747152375179,1.5586925026326812,1.6225460256771584,1.6706052964987483,1.5020345569237357,1.2303450131516303,1.642468588785097,1.4823195770597966,1.477524320856882,1.410618465896955,1.244979361484278,1.328009672031594,1.5385517446407693,1.3002362813486787,1.2130897023993923,1.3076588366819244,1.2702675255508311,1.3288599376263348,1.456018569870224,1.3108111755547804,1.3060969057497762,1.2882234234116405,1.2520244959770443,1.2942249967197395,1.335138609122556,1.1481512549370139,1.1243264128331447,1.4508495673534623,1.0533975662218569,1.2565224256436243,1.105025743645439,1.3815717239216527,1.4400565182816205,2.044165622847243],[0.9969928311214556,0.9667268066853457,0.9621034115346945,0.9149726014820205,0.988698498498266,0.971347712274925,0.9894105050193897,1.0748712830656815,0.9610129534073062,0.9299803013861557,0.9339876884215624,0.9868541677454522,0.9941054398510881,0.9156633972452923,0.9635745852320414,1.0241031145296735,1.036617679487656,1.052361220008478,1.053509478791875,1.0794082082502987,1.088017863608115,1.1985219248632364,1.2540892112204243,1.3078749860510817,1.311009968639125,1.111560004904865,1.1066446556382357,1.0837542767977086,1.1383820384169776,1.1006296495799817,1.0650652169282242,1.1400201810161894,1.1527473497339433,1.1432527805615105,1.1689267945460549,1.1163848350701855,1.1884943841466995,1.2046447320656746,1.191876233757455,1.3675135027895589,1.1633533675263503,1.1124249676691609,1.154389639151477,1.4390252915090391,1.938992629412017,2.4199031681547507,3.404963946147278,2.1510001111666983,1.8404473446772456,2.7351963524188645,2.3970397273616624,2.4457958777745827,2.228111745345949,2.706500701353381,3.8359440750124163,1.6576699757123203,1.4298225487357612,2.4493687360209964,2.193614716898062,1.954846948406285,1.4569100846481233,1.292443039972089,1.1492396240485048,1.1485657888679932,1.1690901003241982,1.1360406000497458,1.0919837637361387,1.0632412246073593,1.0581648477513346,1.0637110452939926,1.2127780274564044,1.4099202967162248,1.0825321028880117,1.2049586568683925,1.0912510127145978,1.1815754162872012,1.1300379170836807,1.126537138107778,1.1847154148617944,1.1651042246070689,1.3181761944688068,1.541083218987006,1.4370325228459722,1.4714674621781514,1.415551578989663,1.2919545576680824,1.2228945291851185,1.2644727262839688,1.1535906054702105,1.185788060949856,1.0802279291622763,1.1132065538694713,1.0819998643798938,1.042607312928136,1.0281069462563597,1.0089526970500613,1.0217424110479463,1.067560474275547,1.068496150292759,1.1572353327347693,1.1527739534746817,1.3061736648840607,1.2591877545316845,1.3126644662881537,1.437012432321154,1.3809899486389974,1.392096586876689,1.4512075008870462,1.346662393548281,1.3555452162281139,1.2658679331886222,1.2715443689263974,1.1276846624798247,1.1277936863537323,1.0140858077561357,1.0189572259344404,1.0434898644252468,1.0362108148596256,1.0505949552403964,0.9784444631325058,0.9834782004139427,0.9642955132648134,0.9191722679121864,0.9380453601708615,0.9444849096076521,1.039186878821762,1.1276278591000046,1.3037323931173677,1.4003990337905594,1.4233069874765074,1.4727526260207888,1.5583904131330812,1.600145791163889,1.5349816747614533,1.5053786452530513,1.4761789796432023,1.685564241495533,1.2301230349693728,1.0999220382848474,1.153292006608888,1.1813316508055194,1.3781515133732944,1.1697598298735814,1.1503523443252972,1.1789157729209254,1.1374013113811858,1.1154663468251915,1.1204096553983707,1.1768193726888503,1.1035127778733027,1.1728396551280083,1.1084951645447894,1.2812140203737346,1.5138303720392703,1.2623811048966798,1.1775262965381936,1.142639002895901,1.2110980688624913,1.1948095771025695,1.2730899810299368,1.2789207001024936,1.2472497205533628,1.235705129817398,1.3278984041570283,1.4833073373922405,1.5990717826752572,1.6278754852073876,2.0051244076888746,1.9531242406494596,1.5696496897248886,1.5063232187941402,1.3629643899156174,1.4109671585184402,1.4033651125779758,1.3604707969132117,1.3495307614663419,1.2939023355886528,1.365724271411797,1.367229820097779,1.442562472667608,1.6176123444211379,1.422837819644011,1.5471158538756913,1.6243535949195596,1.5599371261841726,1.5895710578734956,1.479997761097009,1.6910401382271611,1.9176925294792835,1.7971867102951455,2.150075893263504,2.1787032787216454,2.0043058726374756,2.004222798480008,1.875892611299452,1.9270518469930362,1.7358248537556118,1.6277715719903945,1.4328962889062649,1.372766422852361,1.2504814554458572,1.1833332114055788,1.1798882522217982,1.1193308131518431,1.0958849828131063,1.0567261176805682,1.0510598695382236,1.0237171124100573,1.0171950294727472,1.083787744564652,1.1615711021845343,1.176987227856784,1.1807332657068632,1.3854413895093345,1.483856481810129,1.4532127802677755,1.2778638511032632,1.281273021222653,1.0755365408087578,1.127940841790722,1.226921831534363,1.641881011825195,1.4684567954520904,1.468758513241435,1.3144284871629295,1.3123043715145173,1.3000680939384113,1.4492327622798271,1.4535308619918998,1.291729333133152,1.4512505292040028,1.601059899822885,1.4930182569538135,1.4962298661844762,1.7284166314854552,1.7479170928048426,1.5966554454404216,1.7483402911587753,1.3919853928809167,1.5219686975904272,1.45751417110237,1.2931868662165196,1.361115779008612,1.3689890319946698,1.3133113315556038,1.2952659081900018,1.24605188748797,1.186684177609391,1.2132626133760172,1.1172517183716857,1.0842764079753255,1.0738688895284632,1.028893900877613,1.0405948678125692,1.048490804818687,1.187222407573119,1.0886820292347,1.0692154411745238,1.0646387700659836,1.0340334394006223,1.1140017219134606,1.1403934873431387,1.0705990466821291,1.0549419598967689,1.1353021330844215,1.1271879497054833,1.0992888465173447,1.1044652821186802,1.2581687973809206,1.332140166451493,1.065329684739964,1.2533498105266239,1.3127809781372346,1.4601804224314416,1.289123351193576,1.065892399297081,1.772133549816791,1.7066461140424276,1.4897290821211469,1.4144505222786987,1.1532109809989048,1.2659607905697647,1.553152662405195,1.2547475312507628,1.1278780832542954,0.9982177992059382,1.021219595521614,1.1658463906888468,1.288242560025621,1.184543472103536,1.1974042643363147,1.1610908792554917,1.103595983408912,1.1924923693628866,1.2297804933953225,1.0361078844883485,1.0219601658234125,1.3770997014548012,0.9782648838064214,1.1799910200434958,1.0150939837913688,1.3754441539557523,1.455511317759702,2.180238907908882],[1.4890076404922714,1.4407067223625978,1.3922410399631633,1.262425871771436,1.2580171844625492,1.3032761690654697,1.2365734690783796,1.3455030289221477,1.2015267959140303,1.089323178625163,1.0930134086092405,1.1733821377431324,1.1339629444764718,1.0040471251980307,1.0558520617362306,1.1344933202471392,1.0924220761796681,1.0883837671905425,1.0376163844554476,1.1055501266469727,1.107987052257587,1.2290600963690514,1.2907743306686936,1.3633907131555851,1.3340439678509184,1.1114790166460666,1.1294738471070995,1.1042188781595177,1.1937542788483988,1.2111607998461835,1.1426315258526327,1.2941758770980663,1.3193749062719287,1.276554912672822,1.3008258598354594,1.2103254310084726,1.314579447529189,1.285584776697618,1.2714286472676342,1.4947232535321795,1.2298811695484164,1.1647952334356382,1.230089929766178,1.462795863322092,1.8415928403115913,2.248691912678354,3.2612938812730397,2.145703584023728,1.8501135552645482,2.7127394662405298,2.458532416212781,2.547324106630382,2.311671953808286,2.703744741530363,3.9199835329385784,1.7887846646120151,1.536891981310025,2.4648092007640687,2.260701631032294,2.0200508374457566,1.5176076023445249,1.351489767864471,1.2241454040943751,1.2416241840455151,1.240666989056339,1.1931637452317765,1.12199383937707,1.094458098724262,1.0437883138239705,1.078515853627682,1.2170080829511691,1.4161184491199088,1.0877511839742915,1.1827671135684172,1.1392089004266803,1.1739821368675938,1.2002059514226318,1.2206967255988639,1.3001674804878334,1.287725419736304,1.448120580887427,1.715289049272123,1.616443363972177,1.6462439125017314,1.5188840059594502,1.4352785913617778,1.3366621785886486,1.403181730451676,1.2542580582688312,1.3172605145126672,1.164627174489453,1.1610633619273147,1.1393786260145604,1.169071156871657,1.1449177280382181,1.115981870375735,1.116772912926259,1.2256957130320651,1.2599877658641814,1.4061562445163112,1.376653754962579,1.5888347735291706,1.502051767038583,1.605572114939125,1.7326155697592798,1.6719518974843637,1.7497290100284468,1.7710984478961012,1.6820850410186632,1.664206663954946,1.5731239976307938,1.491329376299651,1.3382241859991963,1.2392870376368372,1.1007704516992003,1.0454587820567651,1.0521529772627611,1.001539783852415,1.0182478196851923,0.9711739690632663,0.9604745456451723,0.9747900891531344,0.9098244280812983,0.9762754613501539,1.0652146605581878,1.1349273338690906,1.308472410739132,1.4878968689640952,1.6401815049403963,1.669856730981815,1.7192194659898903,1.8769038758903813,1.8567662872932995,1.8154601483411306,1.6883085894590204,1.6077848952223386,1.7986110234825354,1.244250433232697,1.0950473763233175,1.160410052137801,1.1583113885776932,1.409420051448209,1.1818697433929688,1.1643896737384722,1.2083570552883376,1.1927606545870844,1.1746954283994056,1.225782002067849,1.3455505123933427,1.3037115471337468,1.4365599173992267,1.3938555700327508,1.6114352161452663,1.7784696917519538,1.503934732377052,1.4562172684407788,1.3712300984653132,1.4716571850337494,1.3948011076820426,1.4967501854279106,1.4306383621471686,1.365506793016303,1.2985963112591496,1.4282623389845037,1.5904930895625293,1.6190250731564926,1.744581177864992,2.1360501519619723,2.0064193821766434,1.5908109654736282,1.5812090581493905,1.4239675546239863,1.5384610092797542,1.5652782582326796,1.53693882766638,1.5809175257060735,1.4841240068477088,1.6148728005042452,1.5722780747441583,1.6923597048559575,1.774992037327171,1.6628486349605776,1.7989879443951156,1.8824220034121004,1.775629978565318,1.7837030691422728,1.6135560737042691,1.8608154379329604,2.0080203565443564,1.9659048437738127,2.3010073674461675,2.1883267590706112,2.1200186470038895,2.131534894523908,2.125085820489682,2.2437031482646668,2.0535026283148774,1.9968154092569332,1.8596293312970416,1.7800567443672652,1.7845777338836477,1.7063684305886226,1.6400139695955407,1.6718338243978699,1.7001593709276648,1.6089092482643428,1.5817341268510843,1.6248178034334788,1.6185964787118046,1.5899761715758067,1.68112455703664,1.7327797222870929,1.6602977018903962,1.8044896463818187,1.8921849580714185,1.8661319038943092,1.8017956904338566,1.8309502094183148,1.6985684791595879,1.7325991897395658,1.8237114197910727,2.257759874533455,1.9980735641946268,2.009572859709228,1.9355530300239534,1.929285655862511,1.9165380412129187,2.0365566121174874,2.0209086493577972,1.8783714896072912,2.024682684022927,2.115072317025417,2.0355801183627187,2.0368695405119905,2.1913808950167315,2.215606787122248,2.1256468256336443,2.1215718285582374,1.9078476885567819,1.985861800922908,1.9836228530176343,1.8667670305173436,1.9126004262333793,1.9357345213877168,1.8612360451180978,1.837893209910589,1.8632559580921801,1.777055298469937,1.7441568418109872,1.7153623356927563,1.698953800911863,1.634464863204377,1.5902012272248653,1.6666450353993967,1.6387622937886122,1.6636659426053857,1.6542595229371029,1.6759401765394084,1.6938994727232295,1.6990988345026992,1.771316855259548,1.7957166201425416,1.7366671701783873,1.7091335155623084,1.7968586592618843,1.7678721156783912,1.7396227562105822,1.7491655175979164,1.8525580081586621,1.874187129942817,1.6848211173893544,1.8387616329512253,1.8315989428686557,1.8789555064615806,1.7808403147509408,1.6654938551796115,2.1008764502753507,2.038409521168124,1.998223083119088,1.845699717242868,1.6854492532558651,1.674513688219072,1.848650413962972,1.6925645504123237,1.668274063284635,1.6198888708250438,1.5940980714149076,1.5562889121003898,1.6626364331923675,1.4701479684590655,1.5980956641011974,1.5636201322998544,1.5782786466862841,1.5644597968612968,1.5948107645454632,1.4985918472024318,1.4951729265670493,1.7300406340768952,1.4155439050937488,1.566436683414272,1.4996507952601024,1.6705001276347033,1.7443650925181744,2.394167989852603],[1.5649188375302794,1.520421295512054,1.3837283045875064,1.3882070382266296,1.3412338939367257,1.3358319065379736,1.2676226617925213,1.3269722352648419,1.271996285853424,1.1918660512516182,1.2016418120308296,1.2672105236624087,1.2112515718286838,1.1394289044955552,1.1692457438848902,1.224595649371833,1.2071037870266919,1.221116909752807,1.1780590777900588,1.255601077687012,1.2575375355513614,1.3555775068892568,1.4402106369958063,1.5232611762603097,1.4935927171524188,1.2618776641468403,1.2658598034165212,1.2352265606733552,1.3062532408080898,1.2834618430159466,1.2448632940696698,1.3385645024589339,1.3459728990663342,1.3446595048321148,1.3601956426488833,1.3036073057899422,1.3812292752878057,1.400403578941188,1.3867849797169733,1.5906942379953293,1.347884176638688,1.2965441020341544,1.350906601034129,1.5176625345911916,1.7851044499268303,2.19585001594658,3.1114376915459925,2.0692696891654783,1.8843970910224521,2.631594509401579,2.3855880931772715,2.5115497561998303,2.275024771983638,2.652972566964144,3.904446901536473,1.8206215754348993,1.6020654294367767,2.455024113895696,2.2957657309041504,2.059590210838998,1.601853654825483,1.4819494964209268,1.3548362547188242,1.3923769280278164,1.3828752825357644,1.340643110852866,1.2618501311470174,1.2463538519711905,1.1710323106476246,1.223558331413767,1.3366270516419352,1.4727898863726143,1.2118724122520033,1.3190893759527997,1.2808694865461834,1.2827793111004917,1.3426482108353623,1.349986445291691,1.418431499686249,1.3965578970508208,1.5330808324400906,1.7899859734738512,1.6540926565128846,1.6796228430718119,1.5950460543061862,1.500761554878201,1.4289861996121977,1.4633986797773582,1.3669822856095488,1.399669114335779,1.2891697762774035,1.2924061736883727,1.2706107390613632,1.258979745308331,1.2325022581816096,1.2187928718149825,1.226126707564834,1.3027087263381791,1.3071784360445897,1.3664355972672377,1.3687050411950163,1.4981115821416653,1.468595460931726,1.5195408873770324,1.6247043545124993,1.5584378097614429,1.6115290304406988,1.6471226310954472,1.5196322234566737,1.51737456361588,1.4369908314018793,1.4237568202625013,1.3023017028163733,1.255251011289024,1.1646040446444104,1.133131293509544,1.1637642842021676,1.1430137940819933,1.1891694448456298,1.1291122201193509,1.1037715734708156,1.0961182861859637,1.0424874836372708,1.0903702062504008,1.14025792618123,1.1891948090208564,1.3453899352769465,1.4239888123138007,1.5198752043342971,1.5718434319283145,1.5902575579967542,1.7156514678693988,1.7964023607405775,1.7349934433662582,1.6717500884580594,1.6044028644927824,1.7594744012767012,1.3184567432518042,1.252531496512327,1.2652198661721785,1.302288821186234,1.5385132545657914,1.3364841080764154,1.3025259623879926,1.3353521122342096,1.3061371193861595,1.278704715613446,1.2810478808155974,1.3350077426963605,1.2936591364360075,1.385621814260068,1.3622833400714143,1.5386930157711158,1.6849600575481853,1.4756956878229266,1.3911304934850202,1.3698068248408466,1.415116531831605,1.3899908263123446,1.45641378279916,1.444778587772319,1.4299372742315755,1.3939349989385932,1.5203697553663598,1.680409012893255,1.7394194657480564,1.81776599894339,2.191794616968637,2.07950531128975,1.6707706515269334,1.6431006090719096,1.4979215840624454,1.5970328240778997,1.6044840570999024,1.5625919981924257,1.5624259009573755,1.491334487692767,1.5938122130395547,1.5821896871510488,1.669871023697349,1.7968559722010584,1.6227900603771106,1.7792381874809389,1.88798144764211,1.804207814183428,1.84298141364929,1.6947600275822048,1.9257944440606247,2.043116995263721,1.9887811442039658,2.3007020924571346,2.2285489460752235,2.1618497555383187,2.1682929533026156,2.110627971606729,2.16838749581424,1.9247748881309248,1.7765083307460152,1.5474705897601655,1.4922628167912295,1.4127261106555369,1.3882353218267223,1.3879813778162484,1.3679568831223519,1.364533746996841,1.3820462648936829,1.4699844459881808,1.4455038321854516,1.415772596885489,1.543572578974619,1.6491929716475402,1.649530176730572,1.6310232502316133,1.8223371926900729,1.9216204824929284,1.9228992047620013,1.7477590556373128,1.8341252876326117,1.5672369591895088,1.5509336190736582,1.5597496437417704,1.8725333473760437,1.7685815581697242,1.5930140983412255,1.5040967963291303,1.4897810517025711,1.4876529091774138,1.6210758962447298,1.612760668556166,1.4586251852981438,1.6123117757457452,1.7448324261372148,1.5972132735934752,1.6252048510754737,1.906063955724993,1.8679813308027298,1.6946775989897838,1.887570692842953,1.4963021709620632,1.6727726885071368,1.6327144270677816,1.4680356373297916,1.5475763693114262,1.550047439140396,1.515801614835453,1.4936482753366311,1.500021619271262,1.441930906737097,1.4412663652327722,1.3981043918114018,1.3964358381892679,1.3983293421931524,1.395999165165241,1.4172177144920304,1.4230023846346596,1.5358330998928915,1.521107397239213,1.4861956276201507,1.4597450457805239,1.3595540508693915,1.3952118016031003,1.3795567330032732,1.3817378027283413,1.3964693656656895,1.3782635291618142,1.3785483960880343,1.4234772779365297,1.346899074787371,1.435069422170675,1.5587687162890105,1.407932793478124,1.3825706178301673,1.4889212873698812,1.7063772334160239,1.6535575789324402,1.6790774127506485,2.4221177234443116,2.3701445737976314,2.1803498566266253,2.065076659153628,1.7449269313954325,1.7880759557134074,2.1147688857596463,1.9212140818103525,1.9693478310608967,1.6079006377315048,1.368545094410308,1.453984856831771,1.4206810391520066,1.4036997195524101,1.459574818001108,1.392947680322432,1.4047525934782075,1.4525162102493392,1.4348195457049384,1.4082820251716477,1.3895563624176905,1.5221720557059766,1.334518343929151,1.5261014698711255,1.4383041536618337,1.6382568979028167,1.802263481687393,2.335714571360724],[0.9802650539578777,0.9535525270038231,0.9647273527935043,0.8459102221200626,0.9266040826198085,0.8916411712495539,0.9022196973439476,0.9880428255648996,0.9021583076227866,0.9155711565557888,0.9188022809370907,0.9647605955469211,1.0273671886645896,0.9321253008961441,1.0135799098273097,1.0968108721966068,1.1423277074541922,1.1999278875540533,1.2422633739409334,1.295497346054092,1.3560200522938284,1.5186285921004854,1.5348590018847736,1.6016493263837372,1.5361184568271458,1.3517918480628828,1.3508928774015552,1.2594693775707841,1.2896309898285792,1.219585205656618,1.2036903523608709,1.23916317459378,1.2369475502561542,1.3014975977841938,1.3408088150205606,1.323798773163632,1.352336637768255,1.4164694800991116,1.442685548720565,1.6661188310516852,1.4901308132372904,1.4462472441646,1.5859323478289757,1.8550124756459299,2.2387347676476845,2.6256945174767825,3.6854942920703837,2.6050465307759305,2.244802691549633,3.157395515155671,2.9326917440852536,2.9436997990363016,2.740593893862869,3.144921238017517,4.199826962837953,2.1031288091217486,1.920837791666378,2.8939164659577576,2.6234584247519352,2.3747136257171313,1.8943440591764176,1.6896602682469037,1.4702236934594857,1.481051618071931,1.5600559125715894,1.4560869042924864,1.3522536405206522,1.260570689767455,1.2190090969152467,1.1703669402161838,1.2870966417009562,1.4965405093520217,1.184234102697181,1.365462539842388,1.2624900309202807,1.3441420291607584,1.3892048980256049,1.3872486258214147,1.4743714600638311,1.493350390627453,1.539544555587376,1.7715737038349717,1.5928747576533315,1.6974769114059407,1.6099538974957637,1.4991499286042516,1.4799072831239422,1.4772086698312898,1.4051971837476434,1.41315819450612,1.2914425130209746,1.282558549004142,1.249946840884336,1.1854617544449189,1.1365166396194677,1.091617366560176,1.0589793953891409,1.1318766895359418,1.1105723475858567,1.127807301136159,1.2233690275006768,1.346733604897485,1.3606656918578128,1.3563527089612755,1.5486791066202477,1.3995404104692193,1.4579278728781055,1.545710871759585,1.3529853245664585,1.3404699312720414,1.2071521391975601,1.2335181593962856,1.0742622697309323,1.1164067266813131,1.0770661948619678,1.095989957401163,1.1603620297449189,1.1647593084552288,1.2134175585896492,1.119180240368808,1.0692112282757005,1.0452345112211185,0.9902778406125963,0.9391749100173553,0.8902449027334546,1.0270007778555266,1.1465116017798047,1.2164933218579888,1.2781945960794001,1.4469192435199327,1.4524065103213886,1.584232303229582,1.694577219631005,1.6499601743758678,1.5956828691194371,1.5006800667663698,1.6330681573106858,1.3518092574250613,1.4229201212869198,1.3544730602432227,1.3713258671931248,1.5945609729281964,1.4218940101722446,1.3368794907652195,1.3914008476107897,1.304372494466526,1.2481785200989948,1.2037379361437346,1.2086411745579146,1.0874422461381275,1.1543031911972435,1.0656457488610467,1.3014851830126992,1.4217148230848542,1.1758255640295763,1.1516194589510267,1.16075461888698,1.2376235215435105,1.262547522349696,1.3348813287700427,1.3867211679382418,1.4019609104521826,1.4118871581746382,1.5658830152155505,1.7587104485773764,1.8537712454104245,1.866723670060603,2.2041809843249314,2.0274274172707045,1.7313789631043246,1.6415944141463934,1.5391688056404025,1.6072577039527343,1.6079437689025542,1.5573812679669377,1.5238141757320562,1.4249954055761012,1.5301953191253768,1.578890232475129,1.6967561479857847,1.8830933642151682,1.5711250172643894,1.7160253988358218,1.812817234894411,1.7737418681143686,1.8445700140024013,1.7901925628235027,2.0319884333775224,2.3214852233088803,2.1491945088957505,2.4238526452357574,2.2303751585130303,2.1642421546467214,2.1177802714654153,2.040998348070067,2.068449433307239,1.7673087752797567,1.6113601330487746,1.3613953351693324,1.29618902397136,1.2630992071506544,1.2019669216987887,1.1337141303830967,1.114651110464825,1.137758183366754,1.0674751968310805,1.084539883748425,1.1304714380545406,1.0921369892320227,1.1358636681886647,1.2354640715682534,1.2541522403148162,1.2163333273085193,1.4160399818306264,1.5474821095880509,1.5515441702904538,1.404217946002129,1.520491273981557,1.2842535599226508,1.3320423204184957,1.4495447065517786,1.8468507999542865,1.7603472785762047,1.5663538262041345,1.4764512935019958,1.4591481116521134,1.420038396833308,1.5933713183344982,1.6097606385736503,1.4190748490332818,1.544599720290421,1.708872401433602,1.5433486195983734,1.525303875369785,1.8246671540937305,1.7730446459157745,1.6156780855580826,1.683682270472839,1.36225060586783,1.5333200167036012,1.5257963571745965,1.37621751489002,1.4477537320819291,1.4549782139523297,1.3833840793994476,1.3478810322934587,1.3436526117693341,1.2518703700462277,1.234682983073634,1.1544838850805692,1.1279302154676458,1.0956676104321528,1.0566669253749312,1.127725693242341,1.091502384373696,1.203098515306828,1.1697853463043517,1.1772503223539916,1.187172802916944,1.1632610427193157,1.2188406002760377,1.2665541813311385,1.2391987123473036,1.1622307888411259,1.2551754868503529,1.295774298210919,1.2772784067322789,1.2141147083240238,1.4100557268455907,1.5167234335423847,1.2719787727424752,1.35038032081859,1.5203723202140575,1.693346405095192,1.565064845745317,1.3701308271785875,2.136770781922461,2.013187039294832,1.8061273796891801,1.6250592302943503,1.324117772179324,1.339807855794621,1.6618635348185828,1.4338760320529236,1.4661576494434936,1.1854040211306613,1.0581036542314766,1.0947692823753608,1.1612179553275392,1.1422609127933059,1.075855224642716,1.1052677184741198,1.1066974067820732,1.1372635067189236,1.1086664145006724,1.0449713310003528,1.0208982978589731,1.1943967104084474,0.9550831383114544,1.2079796227369513,1.031407440371562,1.5530668638694647,1.6506160359785709,2.3839293557380823],[0.9109644808871273,0.905681000111632,0.9668320604193099,0.800463277421587,0.9058545910031104,0.8724167228888262,0.8757981941445772,0.9751704147152667,0.8832976303556563,0.8640878929678082,0.873989650800316,0.9253232829763144,0.9417537213597145,0.8676299078561178,0.9448809363413707,1.0041696479829847,1.0283339772763216,1.0636724365076617,1.0784168517718604,1.0945564286488605,1.1270032912790593,1.2227237299501292,1.313262352901002,1.4013678818190343,1.3442200769378798,1.1494050608605342,1.115559111699289,1.0849303833348953,1.130167190791264,1.062705584252632,1.0536293794398315,1.0923093517700047,1.0966887184839722,1.1186324114177253,1.1374530153018574,1.1029722476825063,1.1444547730102796,1.1832302307381435,1.1599618323359095,1.3070447505839218,1.1336032957519635,1.106833059518361,1.1336865172710893,1.3646189415891525,1.7439325954410487,2.2030211500797674,3.1504604716026163,1.9892625199601153,1.7465461502153976,2.5843055406820996,2.2705103886843974,2.360857488589904,2.1361877850695725,2.6941139322647323,3.8449456297090245,1.59395215984387,1.39113696585971,2.450020107533004,2.188688410656266,1.901804343666258,1.4209651332200781,1.2872670731064129,1.156222486306673,1.2223601908953543,1.2160967518996848,1.1546459573285295,1.1275239967786812,1.0919255176512948,1.0913449663326256,1.0846875625622052,1.2418852832752265,1.4184434201469074,1.1112107933497373,1.2423748393381973,1.1322916576065383,1.1568646054139078,1.1432549092293562,1.124881179090247,1.178672239415711,1.1526164105228345,1.2635858175288681,1.4939741370729411,1.3532686653548474,1.383228088243547,1.3231160560629616,1.2268006372315363,1.182807020746511,1.220861610607126,1.1449765218502892,1.1781943183938528,1.081408885533242,1.0907397302473005,1.0864215396410626,1.0389110908722377,1.020330965931826,1.0100349446237826,1.0137043606173388,1.0372964275680279,1.02967937730154,1.051727557135618,1.0840875995633181,1.2212079117825174,1.1723275537781783,1.1844424056552214,1.3182701683420062,1.2393425841091674,1.259395177867929,1.3492290169246153,1.195275619154813,1.1944753202598286,1.122868183390249,1.1351680941572801,1.0276305038055662,1.0393126896334444,0.9768052223984149,0.9880620110573335,1.0242201166855156,1.03466061255734,1.081854473860268,0.99152964023893,0.9757413161458554,0.961193102665907,0.9035165577962628,0.8563550174485722,0.8473827420836602,0.9622347422504174,1.0594679508001557,1.140427418665032,1.174819765131404,1.2414393943657114,1.2505093111876513,1.3256613510734978,1.3818247787759312,1.3486932367816495,1.3364001021687413,1.3397492590724824,1.579169303555035,1.1717335467849765,1.177800491730764,1.1342926647246587,1.2066355921266498,1.428494666948175,1.2152659644101207,1.1563366621310154,1.1498220735524538,1.1081164307795832,1.0831443095471527,1.0567053302191443,1.0873007554876093,1.0172593419948286,1.0685248362160673,1.0094008618360455,1.238673619105487,1.3796007710080584,1.1426772929795457,1.0789415693847437,1.075037818373866,1.1272616640371294,1.131229414507949,1.1867882579251237,1.194947579126113,1.1908077730073585,1.1831067163190014,1.2680610676279385,1.4018746686930696,1.5351734222656856,1.4988905122856697,1.8757670691553492,1.8179370619355557,1.4730023022455543,1.3737256010812593,1.28412200302028,1.3170161954862765,1.3089964042494167,1.273225419090825,1.2677951849062987,1.2265384855765442,1.287157870580072,1.2779902193638426,1.3506041996732592,1.4923174643671513,1.2929067431931531,1.3764051149019656,1.4461433555282257,1.4101146994188105,1.4618619697632924,1.3952684074862962,1.5873415573557648,1.8304582541200598,1.6562816414221675,2.0160407462010386,2.0989113788708007,1.863280628652001,1.8680878783418895,1.6918103423639406,1.7173261886295912,1.519553463714763,1.3934384107001767,1.1954551681949186,1.1619356237422505,1.137222826386864,1.0890667651774333,1.0388770967062897,1.0255852847931104,1.0473697893388227,1.0057101418899594,1.048477263616856,1.0732630888009218,1.0258613867759518,1.0934142787645116,1.1760500826273732,1.1792948854454683,1.1634988569810856,1.2847876456496394,1.4659240201086572,1.5145319389221863,1.3313224839840612,1.4481836487100437,1.2194528151386212,1.246110929364504,1.3404078358796685,1.6304460968691252,1.6533698186979136,1.4051797939192556,1.2997896342475357,1.2834525032242998,1.2357434297726395,1.3496120283553612,1.3814974855070072,1.2710512041270465,1.3167568693544087,1.4707291475386248,1.3485157463130306,1.3154665948242192,1.5968289608416573,1.5536140881345253,1.404015244680434,1.4971621125104164,1.203997562631624,1.3347651649894272,1.303645982460642,1.2064093443346464,1.2822583147219406,1.2660531782849225,1.2511917637005239,1.2180027380239364,1.215867180323399,1.133656485842506,1.1398359766558628,1.0637080999898871,1.0477445554636657,1.0264720122630389,0.9880558280092312,1.0419671568763589,1.0208637231420135,1.1296193766283775,1.1064843337386623,1.114412291619506,1.1113225914798623,1.0675697485741893,1.1082922790266336,1.1281733196471557,1.1328192901259269,1.0703369724317957,1.1294170234989738,1.1744763208584745,1.1780758883805202,1.1190181462047408,1.2795772308014064,1.3997076209365409,1.23409512614739,1.2625304755599847,1.4146848341948517,1.670129220595486,1.6273866659406624,1.4430825834707834,2.207977486895991,2.042093526409878,1.7018506351563527,1.581131667640128,1.3151788108045774,1.324639315499122,1.6909130776018642,1.4701021660579037,1.5182965126791612,1.2169680048876381,1.0366814984538821,1.0462032808086756,1.0546051720062022,1.0762155722194646,1.0191765424401482,1.0252806702220143,1.0185558288951562,1.0978127059945764,1.0683230568597886,1.0074477198256022,0.9815586765892171,1.186079923812766,0.9513683462314392,1.1765568357261351,1.0056351128110896,1.581007962841962,1.6781078955919873,2.513278651069147],[0.7131143158831137,0.7208817721817683,0.7969210610955965,0.650762827056214,0.72929777481978,0.6641776713146925,0.6791890587346293,0.7631997015940152,0.6784431088155238,0.6551919067301479,0.6645019534669283,0.7037275998484432,0.7194545756606493,0.6665731804812007,0.7400427388639423,0.7696294607954791,0.7979937767515644,0.8333059454710315,0.8764627614028554,0.8497801167800211,0.8823216189215847,0.9718763860319362,1.0845948890786354,1.1558848051459771,1.116626127317401,0.9260426144747198,0.8693602230434742,0.8560006211564869,0.8907185455144033,0.8070644076207639,0.8162593532381496,0.8298486080758636,0.8367815838330034,0.8569881314258442,0.8721438627466266,0.8466656942575974,0.8898758497293946,0.9461288460366516,0.9050508593197326,1.0585316690279012,0.8537022018776448,0.8372237229178104,0.8800572220190777,1.2847068450115389,1.9083280455947438,2.4738447759923523,3.451866345117575,2.098121276285539,1.7455813519059686,2.743253968176001,2.337692705503397,2.3841268729473755,2.1513458862294894,2.758320124527305,3.7353881780414526,1.4053276263638632,1.1865805303902701,2.4116265204631047,2.0533551089774496,1.8028551544436542,1.257077079996981,1.0308298140203316,0.9058690145442029,0.9498520701603943,0.9370206741180076,0.8932939533002572,0.9127648356012059,0.856350692550154,0.9198458493917941,0.9201367459679171,1.1245688747897622,1.369687425773295,0.9755580496667802,1.1020063722069282,0.9041778596992444,1.0352454365512005,0.8919491685862906,0.8615518755772813,0.9077303828014183,0.877307992138512,0.9765116392487689,1.200777721316612,1.0997538734496528,1.1450503536764247,1.0920088473582572,0.9559149846781257,0.9087724073593606,0.9641488522096312,0.8782077359207273,0.9013256757599979,0.830207587094443,0.8783463347789435,0.880761732489434,0.7838589150022451,0.7804863273637478,0.8020834154480153,0.8274838611967957,0.7962727385815122,0.7861643679090327,0.8260519104146467,0.8246979888233783,0.9746829488869789,0.9023529248659268,0.9414009114396329,1.0706228461254972,0.997378098609681,1.0385590856435352,1.1690861040402927,1.0042756650085614,0.985702723360643,0.908582467026656,0.9164087292822309,0.8193127724533148,0.8398577921676769,0.7593861322232925,0.7969179237379654,0.8151371691500386,0.848528826024695,0.8985036318981027,0.7934015777815108,0.804888994901445,0.7852449307092172,0.757106059175223,0.6981543720966765,0.6627472719368107,0.7691202106041216,0.8869339013969848,0.955189379267289,0.9912900324452554,1.0337129473747604,1.0730252573750902,1.136478700745411,1.19960166719402,1.140121803804573,1.135334598711031,1.159631555915176,1.4162062149895702,0.9704971703072468,0.9171105230953525,0.9360086840391328,0.977631942112826,1.195650821977333,0.9552909896040992,0.9061733619982647,0.9054620488313674,0.8665609566489089,0.8544670388143306,0.8214795726305232,0.8499471676215753,0.7861899240634442,0.8413040435699815,0.7782120302054374,0.9896214561619072,1.2049456796022298,0.9777521777670011,0.835494011648499,0.8313691631885669,0.8801872990777562,0.8774160154688316,0.9414075418093074,0.9554744061358154,0.9424371829426367,0.9454040788151411,1.024931419648554,1.2018888992220984,1.3531435744326223,1.309434647761395,1.7298654111749896,1.704512328402903,1.3193331529178212,1.1880645701068229,1.0721513824266733,1.0768830994914897,1.0576842550394778,1.005761957204527,1.0030449885595198,0.9609576167351541,1.013985436915072,1.017768695751116,1.0902859144887047,1.341378693854137,1.0499464791617268,1.1701767377173309,1.2340170326563047,1.1927139745049835,1.2408686200284882,1.1811555213465104,1.400425482588314,1.7072573312375494,1.550879736168142,1.97263325249583,2.139898333631688,1.7966166523900384,1.775170367815324,1.5513525566429298,1.5824626472703727,1.3530185784805002,1.2582884548147169,1.0578799916208714,1.014769782172317,0.9577729006904586,0.8817718471034126,0.8396369184342446,0.8190799436816738,0.8251606936609773,0.7770964524434804,0.8088816216221791,0.838766693431628,0.7973382339965255,0.901049313131293,0.9888210765329652,0.9942109489607422,1.00411971947069,1.1759773386859278,1.3362523743708208,1.3628501328635516,1.143920715261355,1.2186330532744392,0.9793689295852699,1.0224744141616668,1.1118028514508225,1.4517877301637434,1.394582789529477,1.303843216985571,1.1097220122778342,1.0889930267969736,1.0469060018215834,1.1755086032454918,1.2133811871275575,1.0832227858330186,1.1487354387032451,1.331476073996543,1.2142749768127576,1.1788438810565889,1.4888279898138752,1.4757621619803827,1.292135146535188,1.432378022914887,1.0680595876170396,1.1817159198064666,1.1378436096405053,1.0208592360754214,1.1049602929127182,1.0697137038508824,1.0697599429056188,1.0251680072680527,0.985337751704744,0.9086679825810553,0.9262531905179163,0.8301213534734837,0.8130029542282605,0.818232301447607,0.7711051018182945,0.8087327590764873,0.8124213018165817,0.9892037770572175,0.9188928359404124,0.9081593746229506,0.8886716414884874,0.8275829595955653,0.8706420355153316,0.9085439076773404,0.8922979309704913,0.8404541731768503,0.9097418087620753,0.9583170114762797,0.952670404005637,0.9136108313645632,1.0930442364959534,1.211339896365456,1.0061579551069746,1.102552551878578,1.2359740080202817,1.4995747109349615,1.382123396067973,1.159926315208129,1.8851419889078003,1.7842248941355836,1.415634887736905,1.364299347291067,1.0798907457768756,1.1542290289474677,1.5363217104580607,1.1739334672581108,1.1388952328121102,0.8544962600252277,0.8015877334695781,0.8404615212795905,0.8966284624613529,0.8456451539111924,0.8327036541816527,0.8240816690698803,0.7844673941884791,0.9386181865188337,0.9060353877132005,0.7828371892096733,0.7544214232766662,1.092237318812225,0.7434188434645317,1.0254218946539688,0.7740829204042843,1.4206330498147584,1.5317320754102866,2.3901902766781458],[0.8894110765496487,0.9179681694107862,1.0009561765727861,0.870436052300581,0.8435205514339214,0.7763129091615542,0.702458698757022,0.7548726226377929,0.686082813514353,0.6520770184185823,0.6621743358524838,0.6795942919287128,0.6709018811506275,0.6645274012225522,0.7172473736323581,0.7119035827390767,0.7403527908457305,0.782404705827005,0.8419040510496287,0.8090710580915144,0.8726211868076266,0.9959430877700999,1.0922226257261192,1.188955307669804,1.119784059575495,0.9231972279450014,0.8245727091428484,0.7959858345535186,0.8126813694984764,0.7133134007568518,0.7622597918336083,0.7404568782911003,0.7589850390619074,0.765298758369982,0.7788506553830973,0.7591886693892492,0.791016286536593,0.8379337413399953,0.799644469939676,0.9192655462758291,0.7949939901141012,0.7792665970209831,0.7732870445493734,1.1377574285065508,1.820780458554503,2.458878116358351,3.3015512464710803,1.8824962913454377,1.5904218684966553,2.5589679038576914,2.0697971527059353,2.1790776579398186,1.9083508156901496,2.5549008029934788,3.5141926322825388,1.2841023973903944,1.0409906209404085,2.2327643880473995,1.8812491532334352,1.643540251941276,1.117551656213304,0.9246613707906969,0.8341863806463167,0.9322509261129543,0.9007476468860585,0.8319652334514154,0.8955264487053916,0.8146444727946002,0.8898158776519836,0.8789177284647457,1.097917411505596,1.338595708951899,0.9407748953554904,1.065098636736232,0.8707601724096715,0.971746920867684,0.821313501206465,0.7903917881050962,0.8371904461379863,0.8035903384187676,0.8702042644138579,1.0995211178657318,0.9861866737210402,1.045597179971421,1.0046202112324918,0.8342709094498961,0.8142775280115665,0.8655577739626162,0.7928122345659229,0.8140261703673298,0.7577735882417899,0.8282224658160681,0.8399712099081948,0.7410785586334809,0.7397088357588608,0.7665947896735014,0.8175815364693001,0.7318666978959515,0.7115900613233517,0.7449554440069825,0.7138652627672752,0.8544451934085425,0.7588333267772397,0.8303381470544136,0.9241484310443648,0.9069017399289576,0.9547272634203701,1.1353904512481765,0.979509909015999,0.9090137398427209,0.8317694477126368,0.8079092297248012,0.7432821648960273,0.7307683232294626,0.6971852222211179,0.746111897594516,0.7735833686321737,0.832493590105336,0.8975844319889272,0.7627543976078051,0.7996277414750048,0.7734557874478264,0.7545282388279176,0.6804400353112396,0.6450300435918724,0.7121408984419128,0.8380168457768067,0.8429759832167362,0.8773470121935307,0.9174519706022554,0.9826574251417644,1.027699006224521,1.09390924203216,1.000852221608652,1.010999892027508,1.0374980201527537,1.276933587047925,0.8482168113890987,0.7889264535488201,0.8182690687320854,0.9776112571215672,1.1538502143926794,0.9152319967487198,0.8406540041691405,0.8153897523554929,0.7623123560944182,0.7500538564460101,0.7101294008437015,0.7333527252306575,0.7022228324211023,0.7589100245861047,0.7432329119712779,0.965933650139403,1.1740263278194139,0.9399920189478034,0.7560132114105189,0.7450513822605288,0.7693592673608288,0.7530362838070409,0.8164826709737933,0.8188331587008995,0.8123569902339216,0.8281532730639904,0.8925981118904,1.0427637160416876,1.2326864357382465,1.2102057790594598,1.6390375886726805,1.6964053022553198,1.3163577312284387,1.1085410825229975,0.946998671057612,0.9319786074010209,0.8979704568119242,0.8518322874049612,0.8448954934471707,0.8170862629206718,0.8604169574101759,0.8606564086892915,0.9131741755325755,1.179795452884409,0.908266594927101,1.0459730824018525,1.1033339267306583,1.0690287716563507,1.1201297777858497,1.0454940639675432,1.2893331044120395,1.6139062192565956,1.4749068606224407,1.9261024696834823,2.2752782323034366,1.7988414150736654,1.7555938436254142,1.4691773578665828,1.4707775720923668,1.2693171517693773,1.210625879288123,1.0584886926690131,1.0247576564420458,1.0046912335892402,0.9218509135482742,0.8836032938595589,0.905581985367158,0.9107182077778828,0.8855038145046473,0.9539590056582193,0.9647047317415088,0.9200330291053938,1.050063780216885,1.118789712529493,1.1062154935045418,1.1410019005091545,1.275362371728091,1.4091332365710534,1.4480474611152105,1.2301975276579753,1.2937527274983809,1.0863878620766223,1.1050377047390192,1.1500396429165587,1.5164643341311095,1.4265395068209101,1.305673988378265,1.1104055261988748,1.0983868877844163,1.0629438349794111,1.1585140682281638,1.190626531313642,1.1238666919976559,1.1210376161935425,1.2907841504518465,1.2051519802789956,1.1692702635553303,1.5272905594832527,1.457465390123821,1.2558189619377687,1.4409084967152528,1.0904409602739966,1.161489651864095,1.11516603113682,1.0309808561703877,1.1073535656704439,1.045236419532855,1.0804497547860101,1.0242426762662489,0.9904090858342249,0.9533509905909459,0.9678935084969831,0.895551834038637,0.8989441908533449,0.9350606226718615,0.8903378700164463,0.9124186109393251,0.9337515918641491,1.0886460551192072,1.0570819671725327,1.0263451703917377,0.9903809325741006,0.9146945850439295,0.9220131423759437,0.9351935251107688,0.961996033503852,0.92890524751492,0.9562945807500016,1.005971271267383,1.014993462030673,0.9865812533577312,1.1228532411046535,1.225416500122204,1.1154762482723592,1.1757218754343979,1.286312873337422,1.56279673739697,1.4900623823104797,1.32490897493074,1.9233143430129136,1.8517727049977786,1.444347149042473,1.4522491990843958,1.2278300053455973,1.3041221138606116,1.675292592389495,1.3318514514918331,1.282882538170429,1.1505605171616657,0.9726931676455116,0.9316066030006238,0.9131130040011758,0.8321140527219251,0.8582099954361815,0.8442413879379395,0.8340673605003271,0.9953776075326688,0.9143782612689063,0.9004570104270224,0.8392301879547119,1.0515509607432405,0.8791428911078671,1.0994606024711548,0.8865525879494072,1.5601544074682618,1.7376044965590653,2.718880861434545],[1.1879493211875531,1.1903559800781607,1.250884003462949,1.0760180714350742,1.0959355898970864,1.0644913599100947,0.9819049224305733,1.0424005326044614,0.9825638696907845,0.9613896320164731,0.967232855124822,0.9775711282740158,0.9765786930475349,0.9679538722157621,1.003867248777394,1.0321400434133579,1.0558654393369933,1.0899583036838252,1.1164336480642296,1.1258454312497266,1.170696457677782,1.2754764097065452,1.3697650794660687,1.4898936096351014,1.420896381301123,1.2106850940971863,1.1467546758390157,1.1113513237331434,1.13226728215519,1.0448263199777212,1.064250120921973,1.0731248187076399,1.0808257172860207,1.0999055563772366,1.1017163754881298,1.076454502758475,1.0909977571768685,1.1361635033797113,1.1143441022249765,1.222364730795101,1.1503268488678098,1.1121632906487104,1.0921507844339744,1.2772765603318619,1.6559549519442,2.161341475101558,2.939552519978378,1.7432388808400605,1.5965885367982608,2.3198847676264394,1.941546273379005,2.109859440329613,1.848890814853918,2.4035506823736164,3.6294862374347794,1.4626894590219888,1.2918545577751515,2.2258319167609497,2.0162238004124915,1.7499837181088902,1.3074939648181219,1.234975252083651,1.140326154997263,1.2216885101257333,1.2054067266888784,1.1600548648698288,1.171392388912424,1.1107422349439442,1.1292330475448609,1.131805526490433,1.2883674364026687,1.4404658809397384,1.1545979233378052,1.242352969803847,1.1566516041666774,1.1651803034400547,1.1400035825632882,1.109878274683564,1.1520693046400725,1.1207067996515345,1.1973086715960628,1.4208476444657232,1.2488364422054292,1.2755045951138164,1.267551344754085,1.146981303705542,1.1404157969840452,1.161944663771584,1.1204958174967625,1.1431080767058555,1.069112498648295,1.0936082218262386,1.0880416029294473,1.0482531349280346,1.047317496232274,1.0549648069100455,1.0688683795879785,1.0457205997805405,1.031070551470524,1.0444385871493227,1.0369942340971743,1.1429944206088702,1.0727703519604463,1.0761370572631264,1.1613846387418216,1.1208631565699474,1.1210282753100187,1.2359022270642828,1.1043891312820608,1.1065248785430917,1.0759165265432438,1.0847614422254193,1.0305255694288193,1.0323303738641767,0.9974887938485422,1.0280310351550055,1.0809615101686905,1.1143605850374199,1.1746658047643534,1.0446792427801066,1.0499382188651427,1.0230531351670236,0.9947423895770393,0.9579374326403788,0.9434000554686004,0.9972904488743856,1.1087335396104085,1.08843295096156,1.089639853438571,1.1021742027940264,1.1130922488701045,1.1636230098421159,1.2270847559709692,1.178813268111576,1.210374192837485,1.2670937276205516,1.5034360844360368,1.1248559883492548,1.1613008743813265,1.1226150616537203,1.31557325507749,1.4411859294755427,1.2431243953139837,1.1819170719720835,1.143190451115433,1.0970737403059447,1.0853816115055157,1.0375092524332086,1.043759055975789,1.0135053219460286,1.0476852699551624,1.034423017602183,1.2391354518669808,1.4070932506410798,1.1649929773010943,1.0560393760047544,1.0567973927351197,1.0747333147570843,1.0740044368754038,1.1023975021512262,1.1131016022116274,1.123736234925011,1.1414211239399643,1.1855348011851268,1.2921531893668983,1.456618264190836,1.4140620067764913,1.8158590979748777,1.8862689664541763,1.5073180325405526,1.3482076740446587,1.2278807011773651,1.2263790021372796,1.1906385623179228,1.157567073701625,1.1328721637884407,1.1319587869062009,1.16731018387301,1.1591065795400344,1.175498419774361,1.3168736677169683,1.1404671812202252,1.2175819816781956,1.2933577053601528,1.2767593664168941,1.3562973447768294,1.3022177179627188,1.50058273503556,1.7485757656274676,1.5079899042242306,1.8826268191404754,2.1363320569063324,1.8020006742614998,1.789016042892532,1.5351930843436865,1.5370022046802216,1.3681244037792981,1.282405968181922,1.1311006551702365,1.0994153593135392,1.117093945963868,1.0680955064747764,1.0402913325989716,1.093119430469326,1.105665956096006,1.1155667728464365,1.237132357144582,1.2178696720302615,1.1640130446992416,1.3011456230606337,1.3724861556348404,1.3507867559565006,1.3603413591627738,1.4833142884438826,1.6325259968247954,1.7043058302407983,1.4929785103137994,1.581820777676845,1.3661777624377616,1.3575089353383027,1.3807052286998733,1.7283426719105472,1.6673893554588695,1.377488408593955,1.2462617840184045,1.241044692218818,1.2035483890920906,1.2628239953282752,1.2965094430664645,1.2558453063118342,1.226909902637377,1.3643754845835119,1.298405183890624,1.25528526079487,1.5514262690422234,1.5027448805862107,1.338100679961355,1.4787265067518438,1.173385509083167,1.2371731150119991,1.1981535827485896,1.1572852316289453,1.2204857981558435,1.1925667594995066,1.2074730504601088,1.1684678133001627,1.1766353826920202,1.1137971707850605,1.13202428070886,1.0986917915512202,1.1110668120356246,1.1172895917938184,1.1103069762592108,1.1516751733147088,1.151321062465833,1.2614204494431143,1.2754102025250222,1.2564829612866437,1.2377963302685162,1.1404656888152813,1.1372466613175647,1.131131616040954,1.18243610513934,1.1503933093945538,1.14700970830745,1.2078656526273597,1.2379397298432144,1.1705004218229154,1.2734650124451228,1.3925781003838442,1.3334037888384007,1.305849652228325,1.423095049863985,1.7048248802030077,1.7056367460690027,1.6329101041713419,2.2125133764193308,2.143704764107676,1.769660742724494,1.7613572815823688,1.546340353208085,1.5894467209596992,1.9694847144658931,1.749345548610626,1.6879015281034913,1.5054224886508176,1.1993521120290105,1.1564567449145335,1.0281317699301697,1.0870383222769546,1.0880240991615993,1.0422639928863136,1.06010045305208,1.1476836957635597,1.1327345157983577,1.166920708530915,1.1204137296976566,1.2517536607948188,1.1728386610223338,1.3438173315247994,1.1931523651533,1.7793383455757972,1.8931799577900128,2.7499466757921094],[0.907222098551079,0.8983411025929195,0.9090135002876386,0.7740026558386414,0.8087031264010006,0.7699200049865523,0.7934594973182586,0.8878791711753645,0.8104837975287611,0.8179129458034253,0.8289331329689559,0.8697478970705346,0.8921137075116857,0.8462182664019526,0.904725490994643,0.9654549063258582,0.9967343770011858,1.028940198147609,1.0500924739992736,1.0826554157020696,1.1146980135172868,1.2136553317601257,1.3060141788570563,1.3983689692607664,1.363244029341121,1.1490994502976073,1.0914883304373617,1.0703918790590436,1.0987607533815549,1.016542295483582,0.9947784097650751,1.0332429811509476,1.0458071259548225,1.0599553464785272,1.073363789780396,1.039727106302838,1.0800022093192048,1.1224978870404756,1.0985166732395963,1.223352754977466,1.1224000391113989,1.0608892379068275,1.0383380060737077,1.2204850438043295,1.6398040164128385,2.1722884906878432,2.944794422427756,1.6956119107983028,1.5578325667499586,2.278150690942898,1.8850859098730277,2.0711892478864273,1.7883288195944809,2.2907983242433048,3.560312960922319,1.4458471466290914,1.2675905761734723,2.1212597946948533,1.9503289020157666,1.7142572700739263,1.2534044122229855,1.167417404026399,1.1024799687719986,1.160084587151926,1.138264215808867,1.1098855203547946,1.1169205895490468,1.064519202683282,1.0842694621941955,1.0876908577151088,1.238899087340294,1.3983547450249698,1.1185782079612128,1.1795554494121383,1.1207255603714015,1.1566090735790338,1.1012662773626787,1.0729968915978254,1.1262787305251771,1.1103359361913991,1.187120953490514,1.4343055738093642,1.279701145810158,1.3049492653060302,1.3020766441129847,1.158973704212851,1.1309707301476228,1.1538427943944995,1.095846247109924,1.1190164021981681,1.020182556055252,1.043843019362424,1.0091204195288672,0.9680078834522458,0.9538096773703179,0.946929544321826,0.9663206293338511,0.9696564867567579,0.9538440071656588,0.97690929754701,1.0058780959409974,1.1181567880720817,1.0822540550874857,1.1126836728602267,1.1965287100256328,1.184097734364307,1.1777403385274996,1.2671766587998166,1.1193199900596056,1.1190639177104802,1.0315374449762744,1.0935524678202666,0.9662379189915239,1.0183905954114927,0.9411192856448884,0.9890832842818643,1.0497648223869371,1.051844950004039,1.092582798107267,0.9743086065456089,0.9735570774217798,0.9478478440932147,0.9212831604333858,0.8772132269859634,0.8203303183760368,0.9078275844564483,0.9341717180166595,1.1219499937129576,1.207273937197156,1.218159798690016,1.2682870289339843,1.3127531378096629,1.3464061383855919,1.2996347119610303,1.3335439081407052,1.3714421219921513,1.5797687304242731,1.1047996763914525,1.0370345746241973,1.0640785036102027,1.2039765142160295,1.3293851182083436,1.1414254381678688,1.108650331309578,1.1054035396073592,1.0685498677104923,1.0575254523412685,1.0388540691765311,1.0506307579049396,0.9475254382562498,0.9917920720880711,0.9166907266639054,1.0950063717145782,1.3122022028488114,1.0679842845266416,0.9786293325310803,0.977707732934287,1.037757906978166,1.0703948688930838,1.1185482683742576,1.1490773095888427,1.1384451782413718,1.1397674715398376,1.1979504163227135,1.309712382046822,1.4488826202827851,1.4407344119419732,1.807814223395225,1.8900648969879,1.518555579379579,1.4143946478798646,1.2489794116245678,1.2841387099959765,1.2404480999108385,1.1983777074418327,1.169958381154011,1.1521278648533197,1.211868128919801,1.2018075517165734,1.2261613150636277,1.3238094587478377,1.2197787092312053,1.3176921249886124,1.3958269511965846,1.3653355062065917,1.4141838721961872,1.3167319659430405,1.5233013354828853,1.7435275974401363,1.5208782901496558,1.8705766812101916,2.110475148331934,1.8144006105927295,1.817115339426767,1.5957890455154908,1.5823933334459759,1.4847317196588885,1.3656992210199075,1.15909220446284,1.1499015920524362,1.016331481291377,0.9507164869913697,0.9278282397892996,0.8777542800802236,0.8868291819626277,0.8455718375645231,0.8817092204746824,0.9163389002054126,0.8756983489787238,0.9953522399402565,1.0985064011404564,1.0924091927874884,1.099274072579736,1.2624094480915529,1.4393859080936073,1.4953227495812866,1.2604350834705351,1.3664332303088214,1.0900239458962462,1.1115311683425486,1.1593089548235544,1.4840509463822928,1.4045184971258962,1.3304651073663474,1.1081475718331666,1.0731377146731516,1.0508947076392499,1.1586631658592865,1.1752483598790602,1.076328294224602,1.1297383245058537,1.2581236480071822,1.183852269303924,1.174662224882686,1.4554802414209351,1.4402587161546583,1.2533384143080157,1.4892527313220938,1.112328256443028,1.2356958504204734,1.1655152058218112,1.047952374042168,1.1364795046558367,1.0960736450992417,1.1279918573337995,1.0726984189002835,1.0351123125021862,0.9845390418563358,1.0144475197408604,0.8984065465798589,0.8834256175692478,0.8978410908479574,0.8496455809465333,0.8835127856110911,0.892763792677525,1.0576076318701784,1.00931348425624,0.9943763794557874,0.9693025369608812,0.8941531466819906,0.9159598352613721,0.9348828692189475,0.9437587735311253,0.9006604378251395,0.9373939146398296,0.9789197707938206,0.9928022974024162,0.9456188525194682,1.082331578365406,1.2007195083855786,1.0733748896241821,1.125089531051018,1.2284837696465254,1.5434871780465338,1.4644779326197688,1.3516602806256033,1.996860762583456,2.022916923561051,1.6044166544011695,1.6017232229164362,1.2589821904938827,1.3016082158884423,1.7801795976784895,1.4519022262127539,1.4163745393596467,1.0040270108347293,0.8609402179090522,0.9077480005556032,1.0248505973900834,0.9409446299672127,0.9254198400964099,0.907632882797433,0.8577366954407418,0.9817141470260231,0.9806665563594035,0.8604335311523925,0.8347331504284496,1.137699762645289,0.8434771997686242,1.0913134578711914,0.8793594084303625,1.4598816183110017,1.5637877347981122,2.3741465645378232],[0.8384935713390129,0.810902919243182,0.8089017229605364,0.7248385645985347,0.8636369247420117,0.8460950517329332,0.8945563082921201,1.0019825050271849,0.8932571419146801,0.8951619157805223,0.9043365790577715,0.9730126140831478,0.9851619015089472,0.8949910716775891,0.9657051669853158,1.0428055562916283,1.0537289694453387,1.0765925246118757,1.0601236068806843,1.127354956555282,1.1401132706046442,1.2367551123139173,1.311728437965862,1.3995040333391011,1.376426197100807,1.1593137155433926,1.1265793520263991,1.1173822228763328,1.1679829388040321,1.1144741179166455,1.0631605017142751,1.1462617214902204,1.1654065463679981,1.158229740119194,1.1759237651354715,1.1181140774046385,1.1786488818979366,1.2014181185766137,1.181270749233286,1.3184962139036158,1.175299191667612,1.1146956645492774,1.1042290229501641,1.2740972026528772,1.6419906074230017,2.1347664873769103,2.939830939198313,1.7377759479251347,1.594190971959488,2.306024602308106,1.940493444083476,2.1089948630224984,1.8449386336617668,2.3094622952909982,3.6656174800364556,1.5525415498780895,1.3433845058362355,2.1780360264326752,2.051779437932204,1.7682483719016113,1.3142447486883682,1.2297395220641871,1.1683857928837769,1.196575850591947,1.1831315838669654,1.1615535510023716,1.1421601115192832,1.105575730844754,1.0915953683763286,1.1052339717663653,1.2183753894967717,1.3679019987571572,1.121801709959844,1.1712214814130517,1.1606280307023156,1.1905089983871504,1.1640763486255103,1.1508481800993051,1.2058541487842516,1.1919631687383385,1.2928517744110344,1.5445623693773647,1.379267932156083,1.3968822289142564,1.3809819885531893,1.2698529655948625,1.2207228530970655,1.248885516413669,1.1743924393424217,1.2118300825946344,1.0945427225802549,1.1037149974353808,1.0626972285878118,1.0569698076636902,1.0338033380477998,1.015080729454007,1.021187410033953,1.0728444077021475,1.0601061603991346,1.111878589863305,1.1478930555733233,1.263917952805957,1.2320835464428015,1.257975282107348,1.353093398114301,1.3179643375286552,1.3025575924764128,1.3428167123517587,1.2361137229631352,1.2583309307949297,1.185889882693576,1.2359693424601217,1.0896371477756968,1.1275567649082388,1.0217424417393164,1.036338374363371,1.0963553824227565,1.0445820005776738,1.0853026808788977,0.9886017223393697,0.9689626773753868,0.9617196369029708,0.9103775279509307,0.9116207964967018,0.8851645233392723,0.9972015547132502,1.0620032172731069,1.2729796658084767,1.3810461381333106,1.3694327619670315,1.4121520865324146,1.4497880103492173,1.4846912891058892,1.4476794337844547,1.454492280608178,1.4683777367875868,1.6373287410175603,1.1773169261414127,1.0602279448922862,1.1171299754335908,1.1872641761763596,1.3409858726507509,1.1555714720428703,1.1470670229821567,1.1623638697897054,1.1460457654227085,1.1336440836857369,1.1475977444288767,1.1816066570759103,1.073839514186122,1.1372499581077702,1.0497098835386949,1.200187730206053,1.4374171300402347,1.1783683967477798,1.1231411849685469,1.1041215441024634,1.1865038557956382,1.203530372638902,1.258296110726746,1.2715124837165215,1.2440013196992101,1.2169825045737874,1.2838189545367684,1.3977554159259593,1.5008134957960007,1.5088953477810096,1.8512464852368085,1.896577715929307,1.5242978040864468,1.4741983160667653,1.3192014895277253,1.3810826279458717,1.3585402989740774,1.3291666610186965,1.3155929823202601,1.2866073825386852,1.3609437714204253,1.3291636494646968,1.3730328008536958,1.4563463462127286,1.366276214324215,1.441295558518188,1.5082471745774833,1.463423362703011,1.5079745646775418,1.4073084675281453,1.5980859243453562,1.822292190631694,1.599899514921839,1.8780179879769667,2.008267846660356,1.812115612711319,1.8427304109804092,1.6879752030572708,1.6903932152321008,1.6036591284160544,1.44890733765645,1.2448072380760333,1.2366703149387637,1.0285771431924164,0.9909941923490138,1.0116526345602344,0.8767993662219391,0.8503103389716985,0.8449483662729753,0.8285295909949406,0.832865181555484,0.8131398410020524,0.9126408144518119,1.002881982638592,1.00953049667949,1.0173040695066569,1.1782719166048543,1.3592789534540568,1.3912598646492251,1.1847809124821942,1.2944103481156233,0.9790237616715346,1.0161582772507598,1.0904987869491536,1.42782352140167,1.3394592737046045,1.2583854920098605,1.0497281828574923,1.026051813042541,1.0177921744379979,1.1247612986635034,1.1386356888502298,1.0150420083585563,1.1238801749295788,1.2423779085658357,1.1510147360327654,1.1569924230237487,1.3902356903072524,1.3923988041554345,1.2128721239897797,1.479163743751117,1.1326909188196381,1.3034036501810544,1.1969898995036978,1.0404096528229088,1.1479241079386056,1.13274211043977,1.138286644950288,1.1026729247683509,1.0332911793671073,0.9979599821890152,1.0457435060006584,0.9052086771884156,0.8788325915658899,0.8969504686833868,0.8334061069441955,0.825109400668444,0.8412102475669023,1.0285939705961828,0.9121634168846451,0.9008964819929404,0.877038988590342,0.8176992445062977,0.875927323805026,0.8867562364281966,0.8647809311368225,0.8274605425907195,0.8738879279493944,0.8925247885388368,0.9075224567980287,0.8509633595883886,0.9962527410983327,1.144852205742891,0.9281015576333105,0.993964773150311,1.1272125358608973,1.474137853035521,1.342266134273898,1.1924884123557091,2.004105288009649,2.049600470361957,1.6053891964948066,1.5191841427861297,1.1080723022157555,1.1422859619675008,1.557681583644859,1.2619556246323413,1.3080896452816355,0.6439992668387712,0.7224689396166897,0.9723618262196531,1.1671613156885094,1.070040845262001,1.035120372224398,1.0062313045615778,0.9297209924301089,1.0198909162228158,1.0712808881271918,0.869919244758145,0.8630073385889262,1.227469027145288,0.8555465680883677,1.12712411625348,0.912299693738852,1.4183018391992115,1.475305513483349,2.202804945214077],[0.916456200288979,0.9071823251561132,1.0144905913482225,1.009838699126913,1.2403808492298893,1.1933964293556791,1.3115479157816143,1.3986163482259248,1.2770934353857064,1.2499347229877307,1.250478872502609,1.314570905167101,1.3265295457153439,1.196117579501219,1.2696471996497625,1.3563637216412658,1.3346582244458522,1.3250449363003391,1.2383245569172778,1.35196479019377,1.328151530633246,1.4150407830881113,1.4363054164424844,1.4870674618884363,1.5097576375052213,1.3317765843369715,1.3126741574911043,1.3400727226712286,1.3919086017148856,1.4084694732565644,1.3489341564831372,1.4623464025261428,1.4814514597739197,1.4524327999549094,1.4669763004298928,1.3944774513073077,1.4748647262368653,1.4230121906477062,1.3790683831036379,1.4743895710931119,1.3548935165673344,1.280029142378285,1.2517566705096004,1.3669948092208999,1.741631650945829,2.2584534263239355,2.9811756688313737,1.767122710328722,1.6838284674971664,2.3226721376206867,1.9446300375661378,2.157698154262446,1.8836822601894236,2.2838740055145523,3.5585685726050746,1.6152195406540395,1.505447425627557,2.13245421414154,2.03759084444211,1.8221841905797722,1.3800461114635438,1.3731414145885996,1.4081810562715356,1.3776459782493229,1.3372780749947784,1.3686332138798076,1.3663335856215306,1.332293960204364,1.2983727702367982,1.3192376635303835,1.3701130733834677,1.4820292753795963,1.329781837820856,1.3330139643605075,1.3787134860371522,1.448733849346984,1.413677793651196,1.4076917095419814,1.4639472123485726,1.4506056135840109,1.5274042825198533,1.7423653218524462,1.6149400425750042,1.6012960066376785,1.6100523697180462,1.5217173698831181,1.4611431558054455,1.5097970530541407,1.435536765957743,1.4846438442864747,1.3710094358507394,1.3930519277654079,1.3385638885351978,1.353372780857407,1.3393033480162795,1.3292351113864276,1.3536855744111573,1.4130983300929645,1.4343176018170087,1.4965787210091999,1.506205702476334,1.6055755325696128,1.5478292439391637,1.6009755156407566,1.6263359808460596,1.6528972651161848,1.6189498601290198,1.624433051483487,1.5704808579516787,1.5981874109469818,1.5708134108655993,1.61387880036332,1.4932346232401024,1.4994247539239267,1.3526757752776801,1.322960035468646,1.354470655936198,1.2285472699965514,1.2606665149222391,1.2338560006854684,1.1938792113973493,1.2233303252238135,1.1599394730045305,1.214300981364156,1.2311904676592464,1.3487455096466778,1.425608532164137,1.6608308818329325,1.7699337518003957,1.681035434588593,1.6847349126884439,1.6901972271558852,1.664811270223699,1.676852810072264,1.68078594572505,1.7459848703426724,1.8890476219540815,1.3702912884741465,1.230854347431692,1.2652291867255043,1.2700344213133703,1.3528663275186128,1.2589853546768055,1.309111500454983,1.3504440246961007,1.3909703815268986,1.3911509750734816,1.4613862824074988,1.5284180799605336,1.4515333509639665,1.5351016579064864,1.44023181274428,1.4783793252381088,1.6703435767654096,1.5250441677038828,1.478149570593529,1.4664805457271435,1.5435331379174912,1.5477475495216502,1.597387267500189,1.5560165002375121,1.5021365982749713,1.4369585539433112,1.4905080140092135,1.5381963102875573,1.5955446037427183,1.618092962070499,1.900066111189512,2.0012937804544295,1.6614116406684725,1.643385141744339,1.505784176233827,1.595198121317044,1.5803908485635552,1.5708620332010708,1.5815866522958812,1.5734081614102378,1.6341364893580894,1.5683640132998322,1.6026871518386978,1.5625984404025817,1.6138923953378654,1.637857447362651,1.676711309023582,1.6442137777368238,1.6572518870049466,1.5347270551462973,1.7045196879901827,1.877061799749137,1.654030781136396,1.9428566297693897,2.1859173020044063,1.9290442219435238,1.9583776981126422,1.7868556911509643,1.7559163610167892,1.7313635970352588,1.6127158291245347,1.4458772677522234,1.5418774849106451,1.2018732796462661,1.2467961048932106,1.3603638200588835,1.1215694385717272,1.002348407995264,1.0919398889423881,1.0231255957704093,0.8385485688195332,0.9000821332513049,1.0298490949857313,0.9685633452566733,0.9489262805158798,1.0725454739940041,1.2106026550670705,1.2836215460241374,1.2542082537603783,1.0109710448000124,1.0002104853142193,0.7009599859882034,0.7672957266260324,0.8173228518909226,1.1925139101654658,1.0520608466321997,1.2831129856092283,0.9595407055317245,0.9585078673768263,1.0370571905460864,1.10587915057969,1.0409142380800165,0.9780682401622411,1.1403093072576405,1.1850409277884855,1.1195452675711606,1.1815431705795558,1.3872574356475398,1.3631195984692956,1.1911723052280354,1.549309670611815,1.246999992606974,1.4596502977559034,1.2948226014550337,1.1451024215331527,1.2804351507515084,1.2658198226678392,1.3228156153457638,1.2816652526157855,1.1421851987328835,1.197002227599788,1.2889447123470943,1.0966482194390155,1.0462573211777497,1.1245447293370558,1.0339650935732343,0.8971688277397247,0.9609994048863321,1.1981707915574666,0.9452800082061048,0.868358697930578,0.8042790751053813,0.7822630216058433,0.907936116150233,0.8497383097894909,0.7170227381200521,0.7734734255065655,0.8420187170906303,0.7238759729341147,0.7074601772936022,0.8034407262465242,0.8623268436433376,0.9516676938053393,0.6999377684338892,0.9244677088642083,0.9729492959440824,1.3712718255653344,1.137345485106829,0.8206589252159308,1.723279009912826,1.8631073777471268,1.3555138359981833,1.2561552707273553,0.820437252395212,1.0856391847578715,1.3828395134427136,0.911840373892921,0.5426676706451288,0.8196092268763607,1.0009233781529674,1.377612345837398,1.5491513791846918,1.4375572145434379,1.4597749668740623,1.401492559556133,1.265107838403808,1.4130412518209312,1.4830387412925052,1.1725558934291824,1.1638692771847663,1.5254795999082276,1.1006685794763882,1.2702107265226945,1.1062581050820008,1.455759268807546,1.567488383723748,2.252099913215506],[0.8610104787017689,0.8392462456891937,0.8397793920070054,0.804901206929653,0.8381857016891289,0.8428700546001454,0.870523882730236,0.936026723806229,0.8340696279449897,0.7650071354183051,0.760003121979335,0.852602504087232,0.8016095378481318,0.7114752675881125,0.7631422389752033,0.8126596779555239,0.7894156900215895,0.7979541702171016,0.7862462436824248,0.8300840425374363,0.8347677559894169,0.9186159691276545,1.0044458942183856,1.0753353839812532,1.0768784066279298,0.8815394505396341,0.8177944632051278,0.8179303289575413,0.8551805194006317,0.8356749081389477,0.8179085801477348,0.872709706988931,0.9025483993833724,0.8734809577462816,0.8736343026208105,0.8290714656203962,0.8991502862904214,0.9012974859283308,0.8648772148095862,1.0057968348815227,0.8436981582062231,0.7759676142703669,0.7799032362976811,1.108489264557488,1.8654212643508388,2.4811816431974356,3.3396389386732324,1.870166247590224,1.5835559837786761,2.5247682025644615,2.0274851978972332,2.141171234300044,1.84631218415109,2.357694300218683,3.480893413515963,1.2489858000082574,1.0559699019682622,2.085516187910737,1.8264530862397403,1.6705587279643237,1.1341254518047503,0.9008846386688137,0.8690560237665624,0.8925629598130512,0.837041597013499,0.8314443311444835,0.9299255307949311,0.8260098925681799,0.8942879770780039,0.9046038490228708,1.0766973269115983,1.2865733278625144,0.9618110308120842,1.0496631361577164,0.8775713745268058,1.064357030997081,0.8621909742083406,0.8471009606236677,0.8958521635634619,0.8668944434521427,0.9349339863685072,1.208873376321471,1.1311688765430046,1.0721805145873329,1.0805537287033744,0.9455969784863721,0.8840277939988787,0.9368696623074086,0.8655150954352785,0.8996700655332188,0.8262422569532546,0.8876372245085393,0.8662624410847374,0.7979013999842418,0.7939455466586773,0.8147436830834875,0.8759197495891651,0.8678223905762821,0.8915518854327403,0.9881853856373555,0.9483459392800775,1.080159247036141,0.9825607298034842,1.0706822627083705,1.1198287061622707,1.1340238032141299,1.155665912023477,1.1968698709212027,1.1334673130045174,1.1340461170781801,1.0845862372071935,1.0785358708473824,0.9694265781026467,0.9644216778826615,0.8145663459645526,0.8086728741762987,0.8246312700579147,0.7875356606433938,0.8343410602910595,0.7505358852295744,0.7542785416955996,0.7639605502521348,0.7241579751931155,0.7459330594906438,0.7664055773214764,0.8347903174204538,1.0103490782107272,1.1364618406261533,1.235119305700868,1.170477850359701,1.2268660468628827,1.254763692640645,1.255669754006474,1.207944332880544,1.20577412818708,1.273051848790633,1.4609385551714449,0.9516739714357212,0.8377824610162009,0.8116826624482965,0.8696637027797947,1.0186606342986353,0.8040641310767227,0.8157190567070312,0.855492650080214,0.8537659513822528,0.8607687107782539,0.9105433277362414,0.9664053160487851,0.9187788388072319,1.0185532389581047,0.9646413612555793,1.05330872773025,1.3806426676811838,1.152460202384022,0.975417429297254,0.9388099743388287,1.0086013003360326,0.9866711001323758,1.0443397546531723,1.0029997794228187,0.9542039817802145,0.932726223648072,0.9943051891257634,1.1371499369144262,1.2913661479200893,1.2828313951424433,1.7043724089423173,1.7683681531548123,1.374562708646217,1.249061775013207,1.0616648445496317,1.0813115098041626,1.0500207405976327,1.0063930079790073,1.02580952480312,1.011451171844995,1.0879814220225805,1.0093382284777408,1.073558844005257,1.246186463204482,1.0924539679369663,1.172085098145727,1.2233526062390283,1.1858333288610763,1.2204597454882664,1.1444695068796422,1.3485676405222622,1.694297194227181,1.4616521630566293,1.8471576765008764,2.058127037447894,1.7232438564039978,1.7121043911425515,1.5128866968295294,1.5391274525537868,1.4243594810705917,1.3189907565703876,1.1752241000148216,1.1918122470048713,1.00637938789439,0.9746161873513425,1.0163525052066877,0.940553637767155,0.8935439637522921,0.8978476331995388,0.8952043229900088,0.8620733531714673,0.8791072533385293,0.9833091048344489,1.0260348018335192,1.0451206967162012,1.1054466313933875,1.2748073287009618,1.3530768648375449,1.278461349668803,1.1329783617684177,1.0230215295334646,0.8737935053703084,0.9274435676628535,0.9658551818480382,1.3319504119612067,1.1503207273541232,1.4069040878581167,1.050166817125059,0.9968213303716432,0.9931144957718585,1.0812061278612937,1.115918213651905,0.9687906064635479,1.0917585991365037,1.22626200455462,1.1732090365625734,1.1463862157167468,1.342706112131587,1.4066314805046771,1.2303465050455495,1.439892556849512,1.1222584899071046,1.2062228051308688,1.1134918401981926,0.9955261624162672,1.0829148362676941,1.1077164332772402,1.0783315948702217,1.0522145614167362,1.0187909754265405,0.9876903276886354,1.0322412682014281,0.9239871375314312,0.9206821575691428,0.9798821419717774,0.9230105516162987,0.8864610778080706,0.9650373540342472,1.1937159604491552,1.0005998356463837,0.952293345801111,0.9087673085640485,0.8605445329150635,0.8865152424370992,0.8948398744528835,0.8407041247993818,0.8538887730794745,0.8768476988231075,0.866347869027432,0.8674179223320179,0.8818344523189225,0.9734353859769729,1.0990672851442007,0.8697850248090336,1.024095549309904,1.0602157237836152,1.3401888593374314,1.1337671592360632,0.872322972673552,1.417411078174716,1.4196795437562229,1.1039365756248327,1.0916777853091482,0.913076833904914,1.1118437295459596,1.2891108158775602,0.9235389481000411,0.8067496886505696,0.8890500324352728,0.9657475984552288,1.0051914379316078,1.1377932884421302,0.9383233202451845,1.0804313750870345,1.0264501542470374,0.9581671037212539,1.135016734990505,1.140287061893538,0.9181288420862472,0.9002958272011079,1.2341007734663891,0.8578285873874373,1.1398172644856035,0.8859994174499825,1.2604400240048683,1.3504850184784927,2.0440290247460338],[0.5914523349503008,0.5894274334065933,0.6508710041387663,0.4652710367969304,0.5062422243090992,0.5110366516207555,0.5769020442847039,0.6169757171270951,0.5687067538357641,0.5380744168045859,0.5419677028466426,0.6144839979848259,0.579045961839152,0.5314393613808175,0.5861033279896439,0.6172445794356453,0.6300379408970485,0.653891647570863,0.7010094445464066,0.7301338492500515,0.779192135222852,0.934046908479169,0.9698611446735722,1.0915742554167782,1.0240608042452735,0.8437710327545304,0.7072057321132069,0.698863482215127,0.7026004632106618,0.6480170468525568,0.6301655027242159,0.6603239592244291,0.6894512121197992,0.6728096510816636,0.676384236668397,0.649322722910723,0.6818365061359251,0.7227893174447668,0.6743544563074866,0.7646101497733779,0.7469924292170458,0.6630028162672519,0.639928431837635,0.9787210900412413,1.8288033259036802,2.4874961148594896,3.1790710289351196,1.6488955260948925,1.408582682855898,2.3207661290350625,1.706286502784591,1.8839382036266885,1.5582717118798917,2.1506708467197133,3.2973185136750245,1.1747883250643152,0.952869063584452,1.9515655880208356,1.733732182716449,1.4357916734483789,0.9848413009073596,0.7724575351977062,0.7389830738665246,0.8281144216351575,0.7802226755805344,0.7426292163904641,0.8510986407807735,0.7118824938110726,0.7997655041460873,0.8079726646290855,1.0001131285148075,1.1981684969989226,0.8723057014971072,0.957098988529129,0.7911143949297471,1.0319079176167267,0.7174059539217399,0.677716050032111,0.7166020731897963,0.712557644251928,0.7290828327921247,0.9627323683711196,0.9033892656919007,0.8321522662242687,0.9004016076497031,0.7255831317286071,0.7043818030545683,0.7538282730359609,0.6951811374636605,0.7166637704477087,0.6486924525334331,0.7589450924174868,0.69466620525914,0.6035354727009077,0.5999305561182978,0.6385160276509795,0.6965958960776265,0.6386765955815913,0.6376085172250272,0.7142979511872452,0.6893992615366621,0.7949198243388244,0.7141308943766982,0.7908265784179579,0.8215129672836485,0.8209591959822877,0.8193798861210968,0.9043109208140211,0.8281767086646235,0.8254775770234007,0.7440167807418641,0.7845607053970375,0.6959215490476618,0.7597597053929529,0.6362080109037795,0.676864185247036,0.7411550992626154,0.7128879174687406,0.7613083267928529,0.6465333140327351,0.6754905470577203,0.6666866668875627,0.6488280141327357,0.6106215053129276,0.5839864441920812,0.6627438439393618,0.7969853507963984,0.855883592797312,0.9179393398109794,0.8635839963281848,0.9201298203885581,0.9196163486054175,0.9483583312425999,0.8952618426636697,0.9260616821408171,1.0275451498746109,1.153986862261637,0.7767617764915361,0.8144943404640376,0.6461566372014081,0.7676627979225322,0.8967786323871055,0.6768285841238847,0.671540077201957,0.698356870101235,0.6848362832154248,0.6911223298300536,0.7123174705844281,0.7092754241059538,0.6569286388369776,0.7218194271210928,0.6523895024235147,0.7783601961937604,1.1575148696387345,0.9263374527196144,0.6723047172531212,0.6549464275842256,0.7109512574975863,0.7060984061695817,0.7607559091697411,0.7614768149294363,0.7436963885699167,0.7428455977303883,0.7692270227421835,0.8902386368695736,1.0493213198637499,1.0643062010167719,1.4666127664602027,1.6023804403607398,1.255502220889008,1.0510689442704673,0.8586293080402669,0.8471531460238201,0.7922211317446362,0.748005803479341,0.7426375263296074,0.7583084715226034,0.8138162537400865,0.7583237066621333,0.77555072499957,1.018462820891514,0.8035555502122581,0.8891947140920489,0.9483519791753531,0.9113095962666655,0.9708174709200843,0.9009072404880419,1.1212495264892401,1.5359909447338522,1.264928311625502,1.6302083015430595,1.9880251956565727,1.531023353793106,1.5096889999120866,1.2273523597260323,1.2033730907216078,1.0981529778530212,0.996924512183521,0.8589473538535491,0.8888456575761197,0.7179252458793297,0.6386426015138333,0.677494236890673,0.6259689496947114,0.5904143764845978,0.571527868724088,0.5815738252993637,0.6181209022189398,0.6419268238782391,0.7802704022492678,0.8674257317289216,0.9057898123996333,0.9592419526106702,1.1230572126114544,1.2552346260529221,1.2385538481329528,1.0403342189785543,0.9991828280595653,0.7961097126291723,0.8461073803441762,0.8514687267366751,1.3081106067117179,1.0313406331656512,1.3283773529047858,0.8199185898230844,0.7533140791534917,0.7678136770929985,0.798219909045757,0.8633737039127876,0.7236531834856577,0.7988323330715639,0.9490558150440316,0.9306691729912794,0.8700758772143504,1.1358645347803733,1.171567156322938,0.9928718014606311,1.2533188598865947,0.8505474898573419,0.8947413759443812,0.8087723968569527,0.7136516221155379,0.8033611160043688,0.8047728544811642,0.8085365149389974,0.7526167780350769,0.6910319886271253,0.681133935889023,0.7440047730277877,0.5955466301417718,0.6440836049933232,0.7226162103538918,0.6576182670817948,0.6668718612308704,0.7798574247583011,1.0012034131564178,0.8516827816226049,0.8169931162182444,0.7496783459046757,0.6390421523918012,0.5982370526942574,0.608316479941804,0.6452244297212408,0.6264523204235617,0.6252625588195864,0.6963388261234115,0.7078683848713252,0.6781179479583027,0.8060905465457103,0.9702530758410749,0.8127819669404692,0.8943256194646769,0.9836899895580801,1.3990128017619126,1.1783159593092205,0.9620641957333858,1.3985923064207242,1.455366169851278,1.1061061633846503,1.0818480121291687,0.845928874067462,0.958937600107573,1.2109303776984843,0.7312126509724289,0.8352208605916466,0.9526142587103483,0.780568246088581,0.6768946972863196,0.790180895511429,0.6023112387588376,0.6908497700356927,0.6982359407954671,0.606407195726351,0.9717229392606228,0.8471716143678463,0.5796452986928857,0.5702044472650091,1.0319339219743113,0.5354062212991749,0.9166620636104778,0.5827195306588728,1.1914604370326662,1.3513131334164623,2.120822691187515],[0.40919949864749,0.40511349057658275,0.5726723906766527,0.43448191611224984,0.5135680945380654,0.4919673254556208,0.5143641722242718,0.53318538712451,0.4870925601945273,0.4569399820599793,0.4638309052076114,0.552823377058427,0.4739147487812465,0.451433429224526,0.5000959268550015,0.503569090808733,0.478650081456178,0.4873454630608077,0.5486783984182731,0.5627963109565769,0.6433131070183541,0.8711685482910652,0.8356303091983991,0.998194750129871,0.854396684563394,0.6936504552739908,0.5476708095659167,0.5339302617006314,0.539992591226557,0.5042845679957858,0.489874338683627,0.5409645752778446,0.5774125567312138,0.5455169514309,0.5335494386699267,0.4940757461241984,0.5484424034172443,0.5526387497581198,0.5133579905220198,0.6087987651356296,0.6589927484055281,0.5200370852019556,0.5166405963487398,0.9498183033141069,1.9324448799638485,2.5994794792243887,3.300924716972949,1.7036706885683661,1.3969277477641668,2.366422922640705,1.7099430187937408,1.8563869221578642,1.5270453325457738,2.075902052857745,3.150788595127147,1.0880673470889528,0.8894372025095107,1.8659969917213788,1.6359605566463893,1.3647263924146773,0.91195723947162,0.6661698771647498,0.608319142000533,0.7287316043963521,0.6465239357730813,0.608897638090475,0.7400963475838525,0.5262866831101163,0.6485705522814937,0.6515616932217861,0.8850897574877121,1.1429494256758153,0.7509389131621705,0.8365167202801367,0.6377932683191783,1.0250645455368457,0.548947585097665,0.5099696399433719,0.5599147821994774,0.5708186263969807,0.5888659171314198,0.8194022657612462,0.8168309338165192,0.7240112396169625,0.8030606869386407,0.5832415954312228,0.561562055687509,0.642694433196843,0.533779152315755,0.5743865534395346,0.49785587209332965,0.6543932334931768,0.5786451111886816,0.49952228735884424,0.5052296503487258,0.5575397046047487,0.6251461577860467,0.5445260334756333,0.5520368794920011,0.683687558032891,0.5860385346944894,0.7261678216989281,0.6125764616813788,0.7226454143532206,0.7475154620317522,0.7440588587355538,0.7813755610562357,0.8588516787713314,0.797852689354337,0.7781635258360955,0.6896760616119492,0.6967056027374976,0.6162262313998967,0.6498451101939345,0.49975280508213854,0.5359045593289079,0.5903412636909514,0.5681293685046426,0.6224285028705062,0.4932749565175905,0.5376484362869784,0.5376444286077107,0.5123516079386378,0.4796145604203867,0.507921005440987,0.5805539992871095,0.7809062230025539,0.77122727920205,0.8540058244199635,0.8070497833616732,0.8936673028063342,0.8950154943771017,0.8927672154753644,0.8371166717280876,0.8434224312924525,0.9293859817700771,1.0512936526252983,0.6583272711905904,0.7886193894959305,0.5527386837326707,0.6301158577951274,0.7908626849734827,0.5373879790836265,0.5224128706944496,0.533929246417011,0.5260910988692736,0.5351952784475282,0.5766154238329677,0.5951694942030566,0.5743500070100166,0.6546742588591162,0.5769936592326576,0.7294551866223914,1.1724888985364623,0.9308725134753341,0.5958809904732134,0.5597343521484178,0.6351251210256394,0.5803049834993579,0.6644845065592966,0.6404527494525099,0.5896407122438757,0.5799690024167152,0.6063939073103464,0.7479416200103246,0.9363480273230884,0.9446990951076596,1.3608406875207335,1.507775225742859,1.14746126058978,0.9478095583488904,0.7302689473632068,0.7343623389036323,0.6763290630528676,0.6232115103387954,0.6282997953402942,0.6288136300480718,0.7253716235386969,0.6346440616848775,0.650912514516131,0.9361693866997168,0.7071307210412016,0.8009617671055906,0.8543653207007379,0.8094791476580475,0.8586312891555306,0.8043325878603732,1.04090224878524,1.5370036733052368,1.2476103723795884,1.619112458832703,1.96704545154584,1.4654771238318032,1.4396984286784318,1.173498536389492,1.179480256089272,1.0841646152021553,0.9952503185345694,0.8843401852847839,0.8851269061173066,0.7233924794058032,0.6266164245944432,0.6708349526411117,0.646820827029499,0.5906680921412539,0.5699551627756216,0.5918454728386534,0.612139933717367,0.6424559695736847,0.7387006982697081,0.8157553925622005,0.8892343237130104,0.9568262457412324,1.0825113084153621,1.214822783090399,1.1725998080043416,1.040969562426722,0.9707786051297358,0.805492711071355,0.8407683517331215,0.8765639549408678,1.2907138551449118,1.067293336320405,1.4186685289030718,0.8404487919240946,0.7700426576842491,0.7861100906393064,0.8265498792980944,0.8943119700427289,0.739449061603646,0.8432059992412871,1.006034273415427,1.0214371798350614,0.9255799277921174,1.116438908498609,1.2289959596428368,1.0535854579338388,1.254967460426943,0.8929759252352835,0.8925575508372736,0.8122860999549881,0.7222384497885627,0.8022261247542416,0.8328984421699569,0.759314703938648,0.7391639416797879,0.6712800259961876,0.65651393922645,0.7200434839566346,0.5817144840705252,0.6500543601794214,0.7239194787408421,0.6620678535844849,0.695086425704079,0.8271982332018685,1.0414146950516596,0.8642351254288567,0.851220116800222,0.7670953747838025,0.6754769975708882,0.6107273423252774,0.6646164396990062,0.6789209793101858,0.6429549030485255,0.666137268146575,0.7408891474012003,0.7496745389025047,0.7223189482428353,0.8580558188417153,1.0493134068635888,0.8526123263586163,0.9377597244421324,1.02906335123872,1.3922743601636334,1.158121390180536,0.9514849084965131,1.2689064614595709,1.323987088125944,1.072527769744381,0.9510781776090569,0.7860455385491479,0.8526571935194365,0.9276574661620505,0.7325841321042015,0.9197102921313598,1.0427407358020886,0.857238760567285,0.6937366543090009,0.799720815018794,0.5808065997961447,0.6825294073551438,0.6799943381067081,0.5882356776307717,1.0436312239357768,0.8100532380654214,0.5323992745680833,0.5576287182118983,1.0542755372948969,0.5154230646964741,0.8440714365983987,0.5166182391108637,1.1353413888038246,1.3418516968566214,1.992263972683476],[0.47308296149997664,0.5139270663334954,0.628474300819873,0.31178424678126027,0.4394832583847263,0.4584118118899583,0.6106465239401855,0.6240602135215902,0.5872390659338763,0.6353874541222833,0.6291009965006072,0.6983986089207967,0.6916055500524838,0.6552429691363872,0.6999305355669974,0.7273590591254987,0.7419948626119484,0.7307477597829833,0.7630808223432908,0.7974425063706208,0.9059152397401522,1.1528912592206644,1.053773316652487,1.2313323154144,1.0919912259898685,0.9557319115623503,0.8299938691630533,0.7713112772107922,0.7741346289641312,0.7283763857019342,0.7341902975511655,0.7542365818010321,0.7719633590575243,0.751118242676611,0.7576357112621684,0.7268011904813254,0.7789755125360222,0.7409006443151507,0.7403027708250226,0.8034881252791904,0.885328758125511,0.7552887119221975,0.6584672788398919,0.7357641444709786,1.5740678553330427,2.2479361562646067,2.8125440499160965,1.2673727897281974,1.0979376787650297,1.8998356617201368,1.2780752661226564,1.6686446642304211,1.2418962589780698,1.6580702563887229,2.7836466027149993,1.1047602523575641,1.0706492409947452,1.5384367671343326,1.3909844156454791,1.2064434708557015,0.7846731743998727,0.7226447734195783,0.8162766968375778,0.9887971978236391,0.8638671045606896,0.818288569966386,0.9733876000490852,0.7541981251298635,0.8317916746161556,0.8324015202699508,1.0210624706829488,1.2045509933383285,0.9251677735250006,0.9294262974059261,0.863524098231109,1.2444896074976561,0.7807354577030843,0.7425158883399621,0.7802583754461969,0.7958796705502958,0.8000472405067279,0.9356078656582337,0.9447268389698416,0.9165126625347897,1.041687807832868,0.7866700247526681,0.7868636407732662,0.857099957974927,0.7628368303912277,0.7894753416693966,0.7352398335124121,0.8427278475934583,0.7575036472861506,0.719085650695201,0.720681714932305,0.7388310637897241,0.7928204972091797,0.7186049781474187,0.707056877871647,0.796183350350264,0.744091441982057,0.8398733959288034,0.7526150975364415,0.8573484365993206,0.8835687176823276,0.8271438132600974,0.7514415661109675,0.7436564964681502,0.7135929742479368,0.8135744998543409,0.6607396206778288,0.8059946254997038,0.7447744412343749,0.8402939348684207,0.7190136078279629,0.7930129846017493,0.7993571155613275,0.7954464989889738,0.8298926856906244,0.7614988343583677,0.744556515748811,0.7795442588039617,0.7379421755881198,0.7273343859040396,0.7433746844506239,0.7517359810231765,0.6291885142008636,0.8496893837159082,0.9090797537522665,0.8835759507818566,0.8886122550308453,0.8856637638567665,0.8661782966660407,0.865590933001692,0.8648724552106526,0.9977078986806011,0.9689675571486771,0.7948446786360701,1.205110993303642,0.6372914560235335,0.9242473987765001,0.9984750173525659,0.7846318186638912,0.7703797441873269,0.7753487850425733,0.7262981728113054,0.7307149924626947,0.7513452880356718,0.7569951074748618,0.7414644975308999,0.7207825221830361,0.6775071203761612,0.7805657880347768,1.201614567866227,0.9852303542441181,0.7095428942933988,0.6969002807185096,0.7539683764165613,0.7239125575217559,0.7892397763884679,0.7781967722494941,0.7618864665076065,0.7469451810780656,0.7739146258206343,0.8416977300835247,0.9706780295689267,1.0339747745408068,1.3682760016730848,1.5429817471830733,1.2673454628182772,1.0607807887128344,0.8193668609747538,0.8258359380801479,0.7479138538829827,0.7209899869428462,0.7495240297465954,0.7733200412882277,0.8511879930292995,0.7497906677365002,0.7702163772106612,0.8372932756589866,0.8104776451446459,0.893498542335344,0.9402024658461694,0.9158442084248654,0.943088715867315,0.8822706146899125,1.0886158335400158,1.4211273095465908,1.2270830471270335,1.6964690393158437,2.178225137944712,1.4913959524043372,1.436474318230029,1.1198597369064196,1.0412828633061044,1.0099880832853174,0.9029514379687071,0.7677587016824973,0.8455933032129207,0.6426996462524316,0.5467223409356043,0.5925533839308832,0.5571552958741426,0.5303998620502519,0.5293634096721347,0.5557669634707548,0.6135483687907686,0.6592432052964895,0.779890443849837,0.8717671983950739,0.9428933692941093,1.0088069221458267,1.1253713284618807,1.2886754313048217,1.2964819645164405,1.1409325932800356,1.0764051698916457,0.8512387370099924,0.9038081311174478,0.8811736843643483,1.4326782367782274,1.0310094084312558,1.3572033653123632,0.7360675347287102,0.6915492121097165,0.7445135304331115,0.7342120620851541,0.7944979693912173,0.6660854875744913,0.7148642580124875,0.8420109856313689,0.8760112764749373,0.7805501715486288,1.043862437124305,1.0604808939147037,0.924579440739991,1.1618513341890453,0.7699407333160677,0.8165402676638466,0.7118669664049844,0.6625719838633392,0.7932497191426193,0.7862344071162628,0.7875454350811275,0.736383231009357,0.6071949917404361,0.641818233829897,0.6925459160434072,0.544764141037776,0.638447806689656,0.7140473364512898,0.6632306390580386,0.7190962797570517,0.8488731179489751,1.0356523077958522,0.913636396436277,0.8925832965799136,0.7912069071032044,0.664564695855589,0.564071140149869,0.5982156871391111,0.6781090581799575,0.6182257885413728,0.591317291339212,0.6841287246882918,0.717925143405749,0.6669281994429113,0.7733758717934587,0.9744899628023199,0.8503303879099855,0.8658584163074848,0.9669445614465868,1.428193445668257,1.1675617292319895,1.0048765191291766,1.2918947216695655,1.3964076899614608,1.1757154216507257,1.1068031941139518,0.9129628007321763,0.9239227022406795,1.116624805838852,0.7961476486786025,0.9100453077264857,1.0764702291021868,0.7824381283595175,0.646873499369152,0.7188550734984757,0.5594989976374275,0.572733902733065,0.6481219702292157,0.5429824168399231,1.1521997761755816,0.7929355594373287,0.5048149283041309,0.5029235035551649,1.046802351111147,0.42803828408671446,0.812063331273243,0.5205120927239967,1.2279760469569234,1.4990824479325533,2.248430017860703],[0.7160462260340318,0.7918289791115464,1.0232362574414462,0.832829533169902,0.9000178145154599,0.6624322848729095,0.5064313677446446,0.5079151943290678,0.4392396534007663,0.3956863916228762,0.3809049733131376,0.48838579163834567,0.42208244973221715,0.3838667040643813,0.4631344137846128,0.4241262414781681,0.4006441787215172,0.4175045204149784,0.5430645049931082,0.5293827832307512,0.6024936870713693,0.8688153265644933,0.8049358696329777,1.0092130694778367,0.799991789317471,0.6600892252364213,0.5269478726221576,0.4661565389458792,0.44410824139438565,0.46116159064442186,0.4280061568068401,0.4469871987120199,0.4585179104250779,0.47020248743862286,0.47887730710535964,0.4943537746958203,0.513202795513146,0.5644704202045492,0.5700983630484697,0.6112119831743876,0.8291731911519233,0.6328141033773347,0.7630988723301448,1.3281303638032678,2.3398699976697865,3.03940565710451,3.690664568793886,2.111245642604258,1.7796278748131935,2.794263484858356,2.099803791436292,2.046220394003431,1.8790222128884102,2.5543183666692695,3.4271285420923205,1.3541911005359535,1.0611858823508895,2.2610756461817747,1.956215555031858,1.5981794142082006,1.1561007457568275,0.8414782256309148,0.6236984665631926,0.6900511303462858,0.6834450323369445,0.6442973141954801,0.66594289441313,0.45745015807391953,0.617944055955755,0.6066411956541742,0.847810062846289,1.141613898630674,0.7042546302477116,0.8497136723048992,0.5623938486407047,0.9347708440079366,0.4950671224812847,0.4737124601577354,0.567474566804505,0.6370610051703209,0.6265224851698101,0.796424023310492,0.8622727439321846,0.8263165660887278,0.826202155248324,0.6265314584722234,0.5718921052343057,0.6417508471699515,0.5098620705757813,0.5361230594930639,0.4523599917518188,0.6183933991203883,0.6009107724497852,0.45792500793443175,0.45889693509288276,0.5250451419594138,0.5932304346958779,0.4881982696366116,0.4588096818272546,0.553167145761661,0.4699575919765983,0.6033554253252144,0.5585360712316524,0.6568266741034218,0.7689505562318447,0.8197333335711355,0.9331625099342787,1.2229303160049811,1.0968859777212616,0.809550747168902,0.7919108070940852,0.632181063660827,0.541129586043621,0.5046129144059653,0.4382273410587954,0.43488842704265396,0.5086881673240449,0.5568996502529089,0.637623940310011,0.44375468691895303,0.520147154453204,0.436310533069675,0.44055902235721944,0.36080236515288594,0.3723660732930485,0.6140078514729435,0.9042230258563495,0.7277498568124139,0.7648071572280611,0.8072077838543157,0.8832350315979938,0.8815700148875278,0.8991072077280159,0.8594456055314924,0.8673215075532388,0.7867245930239839,0.928583236377904,0.671409706459154,0.52454297174739,0.8586626317721953,0.5302772246812086,0.6939475618056227,0.5232592816881033,0.5259707590491445,0.5461235206297795,0.535651899948871,0.5327293556972035,0.5480398658094674,0.5411176353087522,0.49503968215274496,0.6152219283450479,0.54390289596859,0.824054061961199,1.0572359278464964,0.836633373292377,0.5169091167280395,0.47287970381397554,0.5435830692142023,0.5156186712826322,0.6385872006411206,0.6631474345142486,0.581584931729968,0.6070240305848891,0.619439836947457,0.7394006886226355,0.9236046566889626,0.7474122158766704,0.9884925960533197,1.0972084615785294,0.8714813775681081,0.7559692615785204,0.7913070151061382,0.7991952104017218,0.7899597848377952,0.7265237599594502,0.6887329103296846,0.612957313445004,0.7115870457825011,0.7166515523498446,0.7096006734060718,1.1404677915531447,0.7489011915990532,0.8091823918079497,0.7927990808409338,0.7634684466098997,0.7941143138996123,0.8525961850437275,1.070441559961661,1.6819878882000368,1.2723139475089398,1.4278267016172874,1.6928755176247081,1.2232991320067514,1.2298236214429221,1.029760642605356,1.1350524184637683,1.0314352746699604,0.9642820763676913,0.9928033882157655,0.9544291434971686,0.974898928136204,0.9098824905411597,0.9254568383425628,0.923855900761311,0.9285359654762635,0.9290852226378103,0.9352758796708627,0.9392561097853319,0.9723744435074537,1.0823420567102526,1.10125233845843,1.1241500273538856,1.196147766504271,1.2718541082719514,1.3508064399802537,1.3567752191267586,1.2098458306700466,1.1598455644676902,1.024322235621321,1.0738534352788984,1.0848683811283666,1.5602832601230998,1.2594993235232232,1.286568115252868,0.9831768247630346,1.0039225783368684,1.062258107911117,1.0785706306200036,1.1061707311443303,1.045445255522773,1.0260593657620616,1.1578096450870197,1.1258192127747872,1.0437553496389573,1.3328227626309765,1.302783389601747,1.1773728871498776,1.4152841118148942,1.0332437168493303,0.9470581573434261,0.9670533046807087,0.9772825989966631,1.0137396754375205,0.9848731719006543,1.0770449006099103,0.9825943298728667,0.9317274506003794,0.9807649637373993,0.9914733912126807,0.9133187486587507,0.9526106584490073,1.0144224265501351,0.9748604388866383,0.9919767103474453,1.071407470885515,1.197352495657507,1.1317033222613275,1.0998959780043547,1.039527493570517,0.9446236323063025,0.8926952801130654,0.8842956747507277,0.9219578329777728,0.9258367931887195,0.9117965897969547,0.9479414614978036,0.9508172080090055,0.9527095275313142,1.0194599078951136,1.1076362295154527,1.0554768132010988,1.1305530192031301,1.2126203413452779,1.6120849875386059,1.4294334268295557,1.2210784088198927,1.6201230179277377,1.5860728871071486,1.2246546398159164,1.2176775115185146,1.1073950871259466,1.1890654785038444,1.3718571571264306,1.048696251015569,1.0515363746121034,1.1890011389999438,0.9454249462669498,0.9478241680980974,0.9149249578480751,0.8737674983189238,0.8732888532406343,0.8746590136462448,0.8488082743221984,1.1206805661193184,0.9023557908097163,0.917394197691313,0.8583505627292475,1.0533571206679684,0.8249228391508346,1.018473712847415,0.7830742088044648,1.5718595251349639,1.812106713300448,2.7101152176636076],[0.5185465530759751,0.5465128284322859,0.8039936866127172,0.6605577211765673,0.8118629323855993,0.545302082906141,0.45638402163369846,0.4216629310263198,0.42100912874053337,0.40875967121244816,0.4190210652809259,0.4667482025866882,0.45618412594567037,0.4403496596836709,0.5274907034370079,0.47593316815460385,0.4813403704077594,0.5294454567313885,0.6796502242372058,0.6696062621787845,0.7183435984932298,0.9398563279269511,0.8566635209337423,1.131136605461662,0.8336624434707054,0.7525434521805097,0.6842152295888405,0.6111621224048417,0.5453313985103702,0.5781870796087082,0.49648506204681964,0.5058855986837938,0.4999855098199638,0.5578253179811745,0.565189996228311,0.6221518888813069,0.5932228486468195,0.7113300067522496,0.7584608513931406,0.828263855089208,1.0225330203481904,0.8363409762842594,1.0124469833261192,1.7807196822222815,2.936489567546097,3.667999499513658,4.325213747008463,2.6697624714781445,2.245152216358323,3.3617418488514295,2.6292011922501666,2.4984674820611152,2.3875320257282726,2.9801873302380835,3.5288246276265953,1.4966759548849962,1.300235715699635,2.483269223673457,2.090744985806406,1.8418061586663375,1.40171156259913,0.9680919847388758,0.753682193559971,0.7770243258638936,0.8008394251639644,0.7876522374652232,0.7668967199398522,0.5732853198884013,0.6734251375891361,0.6563325265264456,0.8756188711160754,1.2103914864256458,0.7782865863935418,0.9602001220848105,0.6275253344108491,1.0850940013429369,0.6307122954898248,0.5991296520725641,0.6986298657610798,0.7760612368013834,0.7211574876429603,0.8701960129405348,1.0064028326195162,0.9126125264654193,0.9154971302810041,0.7562702775206985,0.7182193698904374,0.7339983698854303,0.6555134564724551,0.6191148231492508,0.5798252143648266,0.7289248877705606,0.6988683642372528,0.5375520551888469,0.5088907379824686,0.5739594261216178,0.6473931269137945,0.49942887389025964,0.4691279730410171,0.5408747042209476,0.5089033435556308,0.5849487209140483,0.6031241921493435,0.6169098329767593,0.7632551281136454,0.7794382463727331,0.9785237412154152,1.3327641714601481,1.1733513549051418,0.7979787065316938,0.7846704851191124,0.6407901502330945,0.5555058787475312,0.5941368006802037,0.5212944183545244,0.5452978801645911,0.613465981320217,0.7022511259113404,0.704690827712215,0.5441235202988549,0.616594312190536,0.5066421257762361,0.513890534466314,0.47165760680623275,0.4304991711249838,0.6813557777330895,0.8483874753329228,0.8198388050567945,0.8284647966473428,0.9012196238721494,0.9903924209761997,0.9785007072490404,1.1050638152742782,1.0192027500382121,1.0756846711478467,0.9462336867812687,1.0940600769813011,0.7698049633280062,0.488109875990946,1.2167028144237129,0.7725076244344186,0.8397033955475727,0.7625405526881267,0.7490081272027188,0.7615700793093125,0.71162360192207,0.700289432619832,0.6407027292359699,0.5894857061500689,0.49972056236952717,0.5760572334648786,0.4924094402159236,0.7030284528013442,1.1398354291787973,0.9258157147678855,0.46900689010022945,0.45091788363109986,0.5150293733521485,0.5533843625520685,0.6455852550077278,0.7789195942138656,0.730726568640301,0.8389316325595999,0.8270178173759573,0.9983277827674086,1.1876778869062132,0.9492936785476959,1.1103980600059027,1.151066256306185,1.0289419633387953,0.9652246195703656,1.0883162899133685,1.0323561092748956,0.9751103364341811,0.8803615395279724,0.7865316109419944,0.7089199029216807,0.7945615187563689,0.8746307397013641,0.8475394783660387,1.4036323965079647,0.8306852481986025,0.9472286121712246,0.9239674432822665,0.9200090577011212,0.9904448415448334,1.1087386516703293,1.2832983358474321,1.8391303589218637,1.3834405137463768,1.3090360531174285,1.4674303432799074,1.2568967810765994,1.323248972488616,1.1866493197905852,1.2967786952979974,1.1296076781993727,1.0470891691830522,1.0481354166556733,0.9176453025181107,0.9384514067731233,0.8292882782164425,0.8514899715104002,0.864981081900779,0.8225183542131909,0.7723485999109918,0.8119506906074616,0.8273876184879678,0.812298936540857,0.8830274737294643,0.9367676776284384,0.9632792678411966,1.0051042238207195,1.0779672555766393,1.211471777124469,1.2673869745266597,1.1230692299866671,1.1613177007740658,0.9967524489716313,1.0041275872051603,1.0797096139173261,1.5410938003963262,1.2530352483553076,1.3528439618647725,0.9643488043811133,0.9905382675304406,1.0298507293063162,1.0964190552676119,1.134226006908508,1.058131467757176,1.0717317045191668,1.2776207945172036,1.2642551967261282,1.134016140681105,1.3653942324777106,1.4143539958904925,1.311102615159245,1.5251682946044252,1.103965335158465,0.9599989593980405,0.9905810408418513,0.9375906344157562,0.9617291132945437,0.9387493166438743,0.9977899025080373,0.917500561172552,0.8313107677899717,0.8499636763742403,0.8594431659835938,0.7543456335153581,0.7826039011009756,0.8468346686342092,0.7857684045220477,0.8198806664361343,0.911153702985102,1.0590288469147442,0.9596561026153617,0.9414994862102793,0.8967514031456109,0.8151383767813315,0.7880696846057761,0.8528593715537324,0.8530947039619601,0.8435041915999173,0.8938474821163414,0.9479122793684621,0.9451754729444921,0.9666231614169365,1.0947414852103494,1.2240915932183565,1.131071510798183,1.2189071442373567,1.3513419938793036,1.738651403674122,1.537478065222436,1.2580930960386079,1.6338085404200624,1.5480125415413495,1.2872207272120681,1.223009402355612,1.076887595027174,1.0406163049885884,1.2693320997450532,1.0262437360607666,1.0837011945914643,1.2432400974267792,0.9223612088339486,0.8875430444758872,0.9026267825729004,0.8293016397185919,0.7342968088357494,0.7355401812557426,0.6697769036222926,1.114046090087756,0.7195792846033994,0.6704986537031746,0.6538346682416958,0.9826565737669348,0.6007211416112959,0.8536003977351586,0.6410800588257404,1.426321024530038,1.7716860533229841,2.685397989559074],[0.5410965540966535,0.600138242284736,0.9337097215747515,0.7841021970347329,1.0081320004219059,0.7521795497712095,0.6784667558132119,0.6497079485162394,0.5885433905452169,0.6357079478848932,0.5918923518575804,0.6269995021441378,0.7510675386614957,0.650556800548433,0.7489044048139386,0.7689138769554327,0.8165192066430692,0.8489123677112164,0.9946316879107511,0.9781097405462942,0.9683318835643486,1.1776492286657596,1.0534172908327701,1.353298201232276,1.0700099700785115,0.9953030561956854,1.0475128267146598,0.9847203932396426,0.9100706868089277,0.9354846356305635,0.7984856616843191,0.8330840556496215,0.7968846292505118,0.8839513580775231,0.9237773186555951,0.9915493079630634,0.985953439398996,1.1437346028160091,1.1981650417359073,1.2951501601140876,1.4213700847849233,1.2566424955872844,1.4962612902374903,2.4063727996215145,3.545161084774932,4.250832324976792,4.959257878243213,3.3569652500886944,2.839504535622608,4.011027435490193,3.3439505344019156,3.1251481707281683,3.1041613497960334,3.677666919680224,3.972515438627801,1.938262788763469,1.7991904594611097,3.0478105743391217,2.5639235652105645,2.312355163255667,1.8723197998474075,1.3583056609658297,1.0799276961011999,0.9902807029902986,1.1412233162151575,1.1216506128285035,0.9290522806887374,0.857920071465285,0.8851389213345432,0.8354957497811306,0.9920268702935978,1.3394905867497262,0.9217287294482878,1.1922287718422988,0.8337879595842537,1.2173317465543163,0.9536274157396208,0.9430890491434738,1.0611153516904217,1.1620711051327304,1.1420803118490033,1.2351073107306865,1.3987382110962467,1.3448485985961947,1.3053519572684484,1.1925493426619707,1.1302194330982065,1.1027665280124672,1.017434521354612,0.9589298388188074,0.9116648166941791,0.9741671988570758,0.9800378868778867,0.8250715015267414,0.7779443601101147,0.7691040210091326,0.8077806426127193,0.7687107792927214,0.7322012484062841,0.7580841980513982,0.827000567496238,0.8757897938105648,0.9940757533793904,0.9579552937244743,1.17051874526123,1.114343306265666,1.3381501653595291,1.6955210130656169,1.4808717815518004,1.0633974236309187,1.0860467080422278,0.9735670081887418,0.8572372438279287,0.9219361875641793,0.8600684661394378,0.8963947088200149,0.9218776476139315,1.0734330797371734,0.9719287062852687,0.8560177051642958,0.8681321415558331,0.7157641762053442,0.7486958296693276,0.7577883560799371,0.685301024359041,1.0019863254278512,1.0924834374352967,1.1545917372426158,1.1972905246007572,1.279152001789756,1.2769203098894728,1.306359937119797,1.4593677163859697,1.4033096653024217,1.4523207708873451,1.2706135502497793,1.197902610061317,1.1126262068754578,0.8395790937851929,1.803775155719684,1.3113795553371255,1.2095278676428125,1.1854853068499989,1.217512401964653,1.2156839300702542,1.1351983687996812,1.1198761981945473,1.0154280994465763,0.9511322972858584,0.8113453766054326,0.8599014197924286,0.7439377264018228,0.9512779979084985,1.1862300233142868,1.0451122159469377,0.7371739744494397,0.7605126960351967,0.8290395554757931,0.9027099072611695,1.0361127336080203,1.186809458143594,1.1613498030569485,1.303238189009489,1.292580354897343,1.4878696805745568,1.624845506042487,1.3875902045229753,1.447413020916057,1.4036320848769797,1.3707664986576276,1.382847375476101,1.5595924315110063,1.4985813997048094,1.427566922110462,1.3352752084146218,1.232942915361402,1.1092314185660834,1.2040247080863578,1.328109387530913,1.3081475176863777,1.8794616018953858,1.2506634347277952,1.3663180995465787,1.3488694636012122,1.3614037660522895,1.418216447153709,1.5647688431438873,1.674646381973573,2.1124956747510435,1.5963013053803483,1.3867460386189987,1.3415310362151518,1.385018468071041,1.4982841117204093,1.4553698139287297,1.555522067323871,1.3508388978553516,1.2633623262568754,1.2757140582268824,1.1206836587683655,1.163688341216537,1.0668262378492945,1.0841291933815382,1.0691840164440205,1.027941959830156,0.9807244943389359,0.9778183779784433,0.9777781592973671,0.9687583375542964,1.0139569786719667,1.0349507775166154,1.0520144892775785,1.0925681521962018,1.1366703042642317,1.247260950449462,1.3088429445758858,1.1658190585352208,1.2191586172602837,1.0846601408489343,1.0949939385862362,1.1840651821238175,1.611992985521384,1.3689224815085783,1.4014960789303483,1.115515531884783,1.1724603118717483,1.2319928073333641,1.3103012077625502,1.309270529520846,1.2522921652705368,1.289775519302705,1.4892269505004307,1.440040197485742,1.3390287100663354,1.5715371619493668,1.5787531296873238,1.4804040145638586,1.695990660644672,1.313174833670837,1.168787124343223,1.226560958581626,1.1697255339973947,1.1960790613376078,1.167492196858385,1.2558174135446059,1.1521796653792293,1.0543189282782008,1.072598234935738,1.0667002369726193,0.9686047248983403,0.9735691123927043,1.014568884907383,0.9566914406227515,0.9755376636894632,1.0357358813509059,1.143551923606173,1.0637906407327549,1.0468228600633809,1.0221332681248914,0.9653910583121573,0.9734748093872335,1.0383701210955425,0.9938696736539829,0.9974136196069768,1.070800778594161,1.0932439701972285,1.0723697711320355,1.1237628219870621,1.2443762125967721,1.3346885446275518,1.2506913659531913,1.370714687005725,1.510888116789828,1.85748340820882,1.6797873036623485,1.3617505338341387,1.7710006838195365,1.619050342999358,1.3337369662054503,1.2685499792623476,1.1618145985633388,1.1395354617607618,1.3388702201384646,1.1242989126925393,1.1750343412845525,1.3533416197380765,1.0648710224480222,1.0704165332576694,1.1277806844708704,1.0645973576725747,0.939505373214284,0.9565916363424258,0.8963540924240551,1.207041923891297,0.8904056960544527,0.8731984590954674,0.8385232161293961,1.0582122532235707,0.7566006231110787,0.9117590527301895,0.7617820538738715,1.5619586185513146,1.87731956622023,2.85537586949666],[0.9018037657792394,0.948185421920312,1.140006432963389,1.1058138775136777,1.096094477323156,1.0535889425119023,0.9761300509680222,0.9596124810745961,0.9689373147854744,0.9259225874047331,0.8698283868843742,0.8862254485674377,0.8973433107469048,0.845703836813778,0.899424253076141,0.8381194209789251,0.8039886641504492,0.7579097770224643,0.7561444274791125,0.736428979100522,0.7832663265591011,0.9821162477687935,0.8850971963796512,1.1862038992478767,0.7968756738494462,0.7519426863941537,0.7492043024912715,0.7720402345229558,0.7861571311246132,0.8690860011530811,0.8237560009034656,0.8399222138292041,0.8505648463459612,0.8427772634234875,0.8183473522085108,0.8298669769413365,0.8494583690230316,0.8538383329333886,0.8357389759474946,0.8382605118511924,0.9902101488348477,0.8604029933314763,0.981440244566844,1.7572999293964933,2.912001741788243,3.635042038233938,4.150576283088233,2.5363979665152505,2.133909815835315,3.1814349558844617,2.4546118007975197,2.3837677629448883,2.2615672228733312,2.8274317045591446,3.091842289074852,1.4248063705876675,1.2553127076907484,2.307200769208804,1.8959382663713589,1.737436718818755,1.3973605759551375,0.9804916569004303,0.8689400803492373,0.8683152509759485,0.8402237824375718,0.8440628182251135,0.8607872297893809,0.7045748387850979,0.7781415440532171,0.8470506445093987,0.9345115253901484,1.235879332029638,0.8987992334358046,1.0174162085450547,0.7778966517319001,1.1999321799595173,0.7493978100482042,0.7542105476404654,0.8194815938862994,0.8687654910081434,0.8384995216948957,0.9116570551996896,1.0725940212607261,0.970593894909787,0.9465930543460899,0.8748282074233228,0.8119616018545451,0.8897670501036393,0.7962364111196912,0.8374868264431843,0.7973448903715846,0.9255591728935222,0.9252940334697877,0.8615291752408032,0.8577457728446616,0.9294668440515957,0.9382769770133149,0.9234698093374804,0.9247316085336954,0.9982375496827295,0.9034932966237623,0.9636942916399449,0.9382624972313324,0.9451472620405093,0.948646025618398,0.9754955311839092,1.125064938499839,1.4055014218333988,1.2957209829962,1.038053623397909,1.0883604341495718,0.9001165927758685,0.9639404932378415,0.8752218679627155,0.9123493849895875,0.8428971845042145,0.7745390251786811,0.7352479646430675,0.7420347779179923,0.748540884859915,0.8080691367114712,0.827402087287956,0.8313967162136386,0.8877479477533959,0.921196297501228,0.9435995764783114,1.0723611513470583,1.0456937054625817,1.0215234468998273,1.0034418767227593,0.9348481922090126,0.9430195038293597,1.0231704736193368,1.0195101085959837,1.024224023285653,0.9777625803772145,1.103575293759356,0.7611647244258684,0.6920262020398031,1.3151344175532733,0.743877069895459,0.8699886830786081,0.8098250443032068,0.8194947692935833,0.8126757961430872,0.8836150530560605,0.8850096277695585,0.9055727468353424,0.9158672861601991,0.9532194489924549,0.9603451181600103,0.9989267000236413,1.081852267831874,1.3743628310308817,1.2526087589330523,0.9649349502445311,0.9345256617134939,0.928349955960114,0.9211262030955565,0.9405530679899589,0.9804562012321512,0.892057941780214,0.9161490474430665,0.879415168933339,0.9606467477816095,1.0478128928418087,0.9021905021466101,1.0076732670755733,1.0620874365341832,0.9795348310384437,0.9110397427459141,1.057159847831873,1.0327065829368998,1.024225583234652,0.9978054049349219,0.9676908824677332,0.944549977959897,0.9899964617726393,0.9825660094298097,0.9492369804897244,1.4621122344700264,0.9403884207309054,0.9615913066617657,0.9184070794008694,0.9180119848818937,0.9945951190105081,1.1059003509126901,1.2244359051540936,1.7198659513389176,1.2741221566161332,1.3122656022830599,1.705431504210291,1.1744478832158856,1.2384825776067128,1.0701815935626393,1.1598838270468845,1.0115957733326923,0.957661164810952,0.9988929561942589,0.9314779651934887,0.9754569439285439,0.9606388657284147,0.984154743748781,0.9614267371400477,0.978728931425191,1.022115388837219,0.9843533298012502,1.0050348105062998,1.0803029857233228,1.1659456672498227,1.160202600142618,1.2031241733114357,1.311274929269041,1.3323096154190885,1.4058138799123128,1.4286595757403082,1.2996449813493245,1.2556435455142299,1.1207875161057148,1.1423466644306803,1.159528007038593,1.7245899681978363,1.3167894194047605,1.3914193603282523,1.0053921595156912,1.04326680417057,1.0759050387755478,1.1160427017722723,1.1200164172549787,1.0730015267767106,1.0450517829257207,1.2018869298214594,1.1973655805640095,1.0660589186150864,1.292405866610899,1.2821249866930882,1.2214327362397563,1.4153095557545448,1.0502908785356027,0.9393986109785972,0.9756489333927616,0.9992504941526253,1.0928959946558237,1.1144150295891668,1.194168111313275,1.0740530079622168,1.043093485326019,1.143846228190067,1.1077770588857399,1.0250869596343508,1.1181475418032478,1.1932246507909845,1.1323306464929677,1.133939884728879,1.2564586994016205,1.3613991120270919,1.2477923151172254,1.2140611945977806,1.1348371205026013,1.0462649335897491,1.0012068450952272,1.0019271694168357,1.0182095222636003,1.004434775167594,0.9864998715007014,1.0121006936048533,1.0306757533423256,1.0100439750853694,1.0807682176593254,1.2208146268998377,1.154457413217094,1.1800191264009001,1.29299581555636,1.6994363959115633,1.5065515346778586,1.2853804924425245,1.6247369703378134,1.5801865473640246,1.3289350518784515,1.2980350067983077,1.2086720077180457,1.2309821658221636,1.3757035930833013,1.1184914335862393,1.1199529958640118,1.261735747814874,0.9410871593750442,0.9357202618928422,0.9413420692322061,0.9566372363170883,1.0061179817636412,0.9914442807286901,0.9775919532414041,1.402567679296217,1.013367532465728,1.0609531726028514,1.0887874239986126,1.321123900556982,1.0376982613126267,1.1344522166176283,1.0749845768635218,1.8253934678152697,2.2786358357326324,3.213968222850665],[0.5295773771841935,0.5569774854921543,0.821697555483353,0.6869718538354338,0.8114564254429126,0.7342390592828253,0.656296284335315,0.6284177142206867,0.6025021145330575,0.6125973524163891,0.5633229450616796,0.6252704202912708,0.6681548218636052,0.5820046950910066,0.6380938610409308,0.6401808793565998,0.6261521136371078,0.6204830411538022,0.6935103200156595,0.6946753352290505,0.6684005767022912,0.8812963631712748,0.7691412051582687,0.9917202057396469,0.7529118800045872,0.6900882930118719,0.6958717798504238,0.6909435280804489,0.6656211521883982,0.745460541895663,0.6265264287627256,0.6848607640143414,0.6548412406004739,0.7100044032089287,0.7126481308040719,0.7494005562610849,0.7577629673490404,0.8163072615553468,0.8220226547911099,0.8440850756256839,1.0219698758892983,0.8449972412135734,0.9906255103166065,1.645265140048159,2.733731562354746,3.468894223590592,3.9545587468416663,2.374144064916315,2.06866815797833,3.0494485251386956,2.313076853230009,2.2655487943179784,2.156286831068975,2.807379661107139,3.438510335667426,1.4235842588828511,1.2315358395601872,2.448036694659304,2.1094258656002243,1.7912156211448278,1.419163379473161,1.0502824925656697,0.7964276266188487,0.7302018142202603,0.7900175788495155,0.820528421151409,0.7285376751261116,0.6000887277608705,0.6550396471775652,0.6448625985845665,0.8088476761599066,1.1009081694315674,0.6935001176668719,0.9463773326940852,0.6027744995602239,1.0251258175175941,0.6853744236171807,0.7054699188921559,0.7997382288203868,0.8331195599246652,0.8417692544760855,0.9419069983075602,1.1230292325849136,0.9637663360598316,0.9494052065407803,0.8656034464083302,0.8109356751341995,0.8545632897937334,0.7501918986529947,0.7523629013451751,0.6788437739767352,0.7946908470059683,0.8000947715412285,0.6661325772123131,0.645328916535154,0.6519869940005963,0.7014796798146614,0.6895231377668549,0.6721826699272245,0.730385137455691,0.715881893708936,0.7673503555413145,0.8017956908406465,0.7760213806755234,0.8611717459093242,0.8778396857020713,1.0371960788181043,1.3280704194345345,1.1746424998657856,0.8426988682299829,0.8971146257076511,0.7697005467782501,0.7476983663602368,0.7546503308979838,0.7305043116882625,0.6892151778392287,0.7238980558344742,0.7001627330074114,0.6588924334728137,0.6018547283390835,0.6500574021323037,0.5538572818125375,0.5854928659655321,0.6496640458308088,0.638989387254384,0.8272237851423233,0.8935383647039167,0.9022256164436747,0.8780536769790278,0.8969467965005847,0.8444211401902353,0.8483121629389198,0.9449091532814891,0.9471759354539095,0.9609386773251737,0.9125138240923208,1.0578896891078984,0.6512921245212296,0.5230772726618725,1.1880382189530807,0.5932077199148378,0.7354345387314598,0.7501171898814274,0.77829788190282,0.794767585520373,0.8389272144596754,0.8353695329739831,0.8219774496673802,0.7686913739988248,0.7173904322608945,0.7726386778861569,0.7109174094441467,0.9012560482021349,1.1448891124820635,1.005546487806758,0.6771806747334078,0.68352990864301,0.7212436692917091,0.763123505613217,0.8147673808708573,0.8950393504427083,0.8485957323114355,0.8785158156427693,0.8562645557238671,0.9109452147591551,1.0078266908054585,0.794362349319555,0.9401337976815588,1.024833702529132,0.9093202475546368,0.7989706068061441,0.9813951837827718,0.9870270665966299,0.9890057633373837,0.9579692131660082,0.9111555024758755,0.8690788976120236,0.9463769582169922,0.9681708291653632,0.919998721846476,1.407009788650782,0.8726465632952091,0.9031086645395277,0.831907999201078,0.8270471440006955,0.9337264992834619,1.0720135402570128,1.2038495200677706,1.7361910609299986,1.264136866573318,1.2189204945997492,1.565756033338288,1.1769612558953326,1.2396502397078404,1.0211987501473934,1.0647704481921008,0.9311537937105309,0.8661424865905913,0.8557085553697681,0.8114182001161909,0.7895273692379365,0.764416731046033,0.7896735026552241,0.7100237529085612,0.7086446002420735,0.7427253879583048,0.704608926955231,0.6992881870203248,0.7691770768051477,0.8596859529132812,0.8497153121103993,0.8778251668295599,0.9839843465590568,1.0243634925404148,1.0941085869281417,1.1334182572996492,0.9834046798065842,0.9578046336667133,0.8019164484039558,0.8216976102355684,0.8553774322572022,1.5045773071440423,1.089752614105805,1.21720269187918,0.7782210193203978,0.8322196816439102,0.902873627618062,0.9370484743223405,0.9074890847200361,0.8600315602633334,0.8580012982668153,1.006170751735133,0.9730632755998488,0.8781470784051287,1.2012343690896523,1.1172715873574257,1.0206524480550048,1.2980939476926552,0.870086916194785,0.8264414182101112,0.8440109591203249,0.8238716168833153,0.9172339027392213,0.915492062050618,1.0382391373134616,0.8880988144875036,0.8143359410770566,0.9195834795232178,0.904213835850725,0.7498829164033872,0.8251997065160276,0.9149140457898876,0.8203311202056952,0.8136391838438164,0.9396141137052461,1.0673423173613985,0.9456294420565285,0.9009013113209734,0.8164313917281252,0.7361618524203691,0.7055755905574161,0.721456897345896,0.705781652259577,0.701861870981175,0.7200171048216283,0.725621877792685,0.7292085128478233,0.7432917903039279,0.8317361231543315,0.9579943027354964,0.8740292420153881,0.9441833229124448,1.0278305528497638,1.402086360133898,1.2335142261672671,1.0269019817052234,1.4165527079925613,1.4861097197706004,1.0454691526884006,1.021656942354682,0.9098589045599718,0.9468885760841724,1.1383439622816944,0.8538451038011751,0.8980032918448632,1.0555102488675034,0.738965553646161,0.7008651467848559,0.7640124162381703,0.7443681233463644,0.7324059615740138,0.7609683262031244,0.709600368122339,1.1846794717439677,0.7728758076121476,0.7471764563072044,0.7750929304086447,1.038246137879277,0.708745918771619,0.878079552459955,0.7712311329188459,1.6208566805989724,1.9364243905024674,2.9541310524017117],[0.6166730539595583,0.6561530135635861,0.9263957151828457,0.7495925075946623,0.8920409391823593,0.8561069750691735,0.8195738036046357,0.8405188021849533,0.7991697847517553,0.8696242607854753,0.8403587773559383,0.8925886852742397,1.0133800167425082,0.8770829064391258,0.948393419756002,1.012483670185773,1.0368216803790309,1.0209892120584516,1.074145477750967,1.0914878170757956,1.012578541464098,1.179299653958796,1.0169129157694687,1.207415905949238,1.0474322997611023,1.0104387103564767,1.1029772126145256,1.1207118461868082,1.0774700635988197,1.161177664757296,1.0130761381084783,1.0911631593738231,1.0408549678430927,1.1154209994618964,1.1413031272762366,1.184886491246,1.1781051602891597,1.2685902627947028,1.271454263302343,1.3086271940617789,1.3992932743986308,1.2708215816564872,1.4778696591414284,2.2700289544687386,3.297651060565522,4.007662286938059,4.599960274426217,3.094313385905958,2.6902084799352357,3.7290232442133826,3.0903323609504634,2.9336768988480086,2.933743679548667,3.6309773542644015,4.021166002752286,1.911795913186391,1.7796307697408706,3.1119124295031626,2.6489039321812444,2.313217843457834,1.8903114487845567,1.477160892622346,1.2090797777918707,1.070619754894731,1.1924491782152271,1.2330581968459147,1.0091378917505156,1.0095721203114187,0.9935520462427228,0.963598793470101,1.0420738414413333,1.3130609896382082,0.9539345855417737,1.270881137113434,0.9735008549961675,1.2004415378709157,1.1311435649093453,1.1457448137043311,1.2440461996135426,1.2991688196363766,1.277083903030613,1.363956432946905,1.487532677257184,1.3899500446670126,1.3500330788997688,1.3111165790523645,1.2506906733062952,1.2589383259843943,1.1968682705730964,1.174589433277399,1.107563369231759,1.1509167671737166,1.1710500903154568,1.0540372409354317,1.0048758432274307,0.954388698774974,0.9772915258364042,1.0334090459570082,1.0126052818513105,1.0222086648698199,1.0998934538689984,1.0938186472728166,1.2219976161876267,1.1273886436836158,1.2395039628386857,1.170782309950982,1.3637159709861557,1.6364116752502813,1.4013808517223458,1.0503297508748195,1.1038875866870537,1.05885148174843,1.002249029407018,1.0651023852382246,1.071047272376164,1.0827813199154555,1.1035447859108494,1.155957122014516,1.070437256708165,1.0012574449046565,1.0139224943156497,0.8821311231240164,0.8764919693042698,0.9264062736019287,0.8408243483737159,1.049662493824254,1.063874093751315,1.1752879863681198,1.2008464962360954,1.2506229302002962,1.0812284716934042,1.1315938972928254,1.242407993934339,1.2970040644195528,1.2909182871222415,1.1942856118469405,0.9739677925473583,0.9334377981966174,0.7143326262622459,1.7807041539841153,1.108013016741675,1.0780265675139773,1.1607479258788045,1.252089329611196,1.259924179356112,1.2716665417585706,1.268583295126331,1.2028422879514902,1.127125167359285,1.0120251102289421,1.0298866428288367,0.9518582255780678,1.149061230658569,1.1806957898645647,1.1295973571946178,0.985054162971071,1.0189193365440445,1.044393241367958,1.1421439949887247,1.1875428043884269,1.2826765567926295,1.2950558124784517,1.338567847185571,1.3262079000226035,1.3851091624198353,1.3831973856134625,1.1321185786512913,1.1183710980659725,1.0858910021690367,1.0467366698320113,1.1120958961291305,1.4231845847054958,1.4401915728069035,1.4314356700250839,1.4124145843558595,1.347619051057358,1.29601237227762,1.3594244777336,1.4279438224737637,1.3855790356999527,1.8471071479330186,1.2634844190655756,1.281004569762334,1.2053993310904523,1.2199070786604076,1.31239934569697,1.4996098822927424,1.5596962849388163,1.9630879360590168,1.4603382954914563,1.3101700199429898,1.4465979391345523,1.232215234493325,1.3230704124245125,1.1923299495121746,1.2501441189346956,1.0749769277313417,1.0195975518189762,1.039702625289073,0.9822492943307032,0.9913356968067425,0.9648491480073322,0.9821382718265445,0.899855720868841,0.900302500326822,0.915808282351468,0.8780208546775159,0.8647740799652387,0.8990322490452222,0.9791848956682881,0.9694036667709792,0.9828959801736391,1.0667330114767335,1.1141715215977233,1.1849812250077272,1.2228899906133583,1.0764422144331685,1.0751864057171021,0.9272873002715248,0.9590306054291673,0.9913938610442464,1.550841706754191,1.2297437712904844,1.1955359041783484,0.9388018349252788,1.0005577001284855,1.0724946211421569,1.1254812395574156,1.0725643524626434,1.043268304145035,1.053399122882473,1.1888398850830517,1.1115187062873864,1.0540149062708677,1.381398739079425,1.275616681671127,1.1638871779123372,1.4129662875481033,1.0452182345260044,0.9929309222137713,1.0366643572636869,1.0287797908342808,1.0961177996902214,1.084864109652461,1.23536263311374,1.072166488588982,0.9956253646895696,1.0942493397481503,1.063659068388181,0.922672429579524,0.9641247763175953,1.03422344603677,0.9502617162232609,0.936547335241407,1.0193226831341782,1.1258940129772885,1.0321637985620555,0.9903334330096024,0.9351631595029081,0.8670767657784113,0.8589128261765308,0.8875923081253783,0.8500647806720233,0.855753155066059,0.8821360381854275,0.8819857709649779,0.8686918490427938,0.9003373000235274,0.9777976809208945,1.0600417519669336,0.9968443544733204,1.0852189174812599,1.1982023669312347,1.5572793155352893,1.4236247338420835,1.1982512357018982,1.7171839237566497,1.667532037186177,1.199986226873206,1.1617165979734116,1.029609516158936,1.0899916164407053,1.30287618550398,1.0289848987313335,1.0630868992997915,1.1612638229401435,0.8905479278745004,0.8729593549888278,0.9522458779270598,0.8989512839324656,0.885422941885254,0.9456457091060803,0.8989983582197902,1.2126582148496714,0.9256517453310188,0.9146896479665546,0.9132587216711785,1.0803475202709616,0.8297602857086618,0.9665853977279019,0.8640685062958602,1.7486283582793096,1.9947977626837237,3.100821971982334],[0.47479058492588855,0.49487935871492245,0.7503478411420239,0.5883161919802292,0.6617061161410391,0.7362784791319185,0.6963414519030333,0.711326694877333,0.763558761340921,0.8329618327962687,0.8522915237035131,0.8669758669679609,0.934889665942057,0.8789770987762314,0.9516482590192517,0.9639562657750065,0.9919326496919334,0.9827100839284125,1.037875694290606,0.9908219549783416,0.9172798286610302,1.062192100426534,0.9420583441196794,1.203354411965659,0.9440456137622979,0.9169031869266876,0.9747223469027406,1.005696826913584,0.9796366637623908,1.0395668373428686,0.9768144913372784,0.9875194856208511,0.9698066861239495,1.0266654830428423,1.0219846425283743,1.0592679407509584,1.016557329150796,1.1187591825010867,1.0811802137936257,1.0855201363150608,1.2072533289785685,1.1194797780385553,1.2772442301505667,2.1443780514412745,3.224464663031221,3.894990128720549,4.39532715948613,2.9021004970799504,2.448614828202135,3.4529084737173448,2.834213006920059,2.7038606835407424,2.730916290375362,3.4040473223271883,3.554945996856289,1.6107873503962529,1.5035445676758994,2.864822909796776,2.3300892902695463,2.0869374264002287,1.7073779689852504,1.2573657846697643,1.0622886514123242,0.955853214983306,1.0459593221638837,1.0783598677540949,0.929037212626948,0.9451786181915081,0.9791547094847003,0.9968817925451223,1.070713417180674,1.3558683613204436,0.9980443465687907,1.2639391240901903,0.9532297183827714,1.2323939093710852,1.024017864649514,1.0316456678547419,1.085930042380107,1.1192535255818907,1.0809338826286685,1.0901615730149672,1.3200495510178836,1.1659967743063275,1.144589997280773,1.0877492381870235,1.0534148315462961,1.0879001093637732,1.0504267506371394,1.0477324259566203,1.0352046948051252,1.108392040698916,1.154719826420157,1.0362639317307345,0.9831582171420504,0.9809852406647974,1.006288176732392,0.994265515947829,0.9653533062731285,0.960658714719843,0.990261923833148,0.9349977018239011,1.0215363263209751,0.8851142939549937,0.9517197145878525,0.8577606880641404,1.0522626905970573,1.318440976291954,1.0992879026116928,0.7945887309334476,0.8439721894643609,0.785154037717831,0.8013832884831917,0.8175577180910715,0.918051720826267,0.9122138649939828,0.9675684842090562,1.0569027535089472,0.9762255318209314,0.9781086015604651,1.0249270115417006,0.9070624801807625,0.8687174857685873,0.8279568439638385,0.7007472241278015,0.7289648022770024,0.6988084481552058,0.8941518227114182,0.9369700871291442,0.9330773081014865,0.7590141756287075,0.8180140452320687,0.9326170730774503,0.9679886616754135,0.9592567707660803,0.8896900065610498,0.7731357775310252,0.5669980340976664,0.5475310774001283,1.453084207045414,0.8969493607662526,0.9501406865127672,1.0396072321792764,1.05853929685046,1.0490310857817073,1.0857123492707181,1.0434223044940047,0.9899278505395042,0.8788599457615068,0.8338878372936431,0.8399681355283343,0.85041213831259,0.9719606093486111,1.2079020528123323,1.1463740277808137,0.8904813787504515,0.9030712444369191,0.8579319503717425,0.9455640339131,0.9023048024530954,0.9881102432940742,1.041526409423492,1.0600409344677306,1.0492077898050063,1.0555144104550438,1.04550810415341,0.8844261969159044,0.9556162482510684,0.93972463828897,0.8915856834417882,0.8209530002323896,1.07138726003889,1.1073994324294438,1.0948782900782432,1.107879414917653,1.068731493572081,1.0593357034801811,1.110061247449601,1.162386873945318,1.088094118773461,1.5440012546562472,0.9321464251591444,0.983034927699758,0.9148736138679496,0.9264690262319278,1.0456807560941452,1.2125596167375854,1.3023693396423432,1.6161944915740583,1.1841589733769988,1.2443211905512108,1.7143907590142156,1.1412772198367012,1.192548998679116,0.9924900392351905,1.02785268653789,0.8652084549238739,0.8165624401700895,0.8198388922994082,0.7427244783945336,0.7407639754967651,0.7053105056465485,0.7180681298097649,0.66659130750981,0.6592425643738681,0.6891381271103545,0.6962891751424368,0.6827906405787754,0.7074367675979575,0.8043586937253201,0.8085965999414323,0.8192940270616332,0.9043927522009964,0.9630008696147716,1.0413849025485244,1.10533690056138,0.9464161020684657,0.9607516910224255,0.781488299512187,0.7924258855644555,0.8354368040895422,1.51088213330112,1.1028499117713877,1.125847219009694,0.7475403410307259,0.8044498039556692,0.8663959786055889,0.932673182514615,0.8669837482741868,0.8414249602755908,0.8195454317514776,0.9814862195329799,0.9182595431056436,0.8462338766802219,1.253445358741729,1.1341314828506022,1.0204865002871484,1.2437153732763553,0.8373140536869236,0.815344934085539,0.8166537361470146,0.8032783882082564,0.8870245062676715,0.8858176367811151,1.0459810467162225,0.8482239162797786,0.7693847013355527,0.9077241671054495,0.8471612907207016,0.6907453685283792,0.7804652417024445,0.8783959202746713,0.7635246983308653,0.7494044955525404,0.8724009628947842,1.00518159182197,0.8721669000313066,0.8239378468231543,0.749015427382934,0.6683226116515518,0.6386217185873674,0.6782568075243497,0.6633273908586367,0.6535605683150757,0.6739607888836421,0.6920888394902764,0.6973699100569809,0.7189311752621467,0.815689787427446,0.9499343441056997,0.871838526809159,0.9424182303201009,1.0671533989366766,1.4522463355478408,1.318792385469046,1.0966935064944952,1.6139931944213768,1.5987854181130527,1.1020285851081715,1.0616497040407724,0.9118044964654908,0.9383061723343245,1.1816984381231947,0.905385401823367,0.9636378002002154,1.070081406954972,0.7465950437227233,0.6540864416192305,0.6946904560014712,0.6132047442397474,0.6550873382192322,0.6786043709703908,0.6529611609128425,1.1527098102491735,0.6877281144891024,0.709761909227148,0.7482874166271296,0.9571363574530999,0.6612923357629781,0.8616264823814245,0.860268441531909,1.6864768890967659,1.9947290612175161,3.2029682338025096],[0.42216181361935984,0.4103219699253888,0.623305903151142,0.4355175266629929,0.4909018257019832,0.5690876608680303,0.4732583909936411,0.4453999656844114,0.5125191913961593,0.535010851546265,0.5426245587232061,0.5576978034341651,0.5626678868932036,0.5556044707154142,0.6216809454415292,0.5744645546742501,0.5512670623030146,0.5574299202195063,0.6120766681727549,0.567240589680775,0.5587767601329515,0.7888581462554144,0.6710170719813776,0.8875642429832034,0.6329292747435344,0.5837034286755223,0.5575260370448544,0.5507205095279892,0.555655171136295,0.5951204919108418,0.5747348516752608,0.5595180081791641,0.5728729615492623,0.6238549502753609,0.5921662699876441,0.6259030703896689,0.5883958912540073,0.6594723674605354,0.6298300695179256,0.6331274527948684,0.8267571983039492,0.6869652460916141,0.7915978661776194,1.3984683583517068,2.4740949621795765,3.1977103341878643,3.547454134336114,2.0124319989449644,1.7459254330645573,2.640461223689446,1.923863920562208,1.9894701722407855,1.8391769803793563,2.443089018980581,3.0033551390198916,1.1590132355101155,1.0111873677066314,2.166183699913617,1.8340946765467012,1.5440476150146223,1.2584859218340239,0.903235413246481,0.6736817609782941,0.6268589952932007,0.667948794990143,0.6877968755677943,0.6687534790958226,0.5147652117548078,0.611548016106518,0.6116884484948649,0.7846134804937931,1.0631794162711505,0.6609121343443446,0.9038138256798341,0.5480931960604715,0.9778808137789543,0.5738483758401974,0.5877254088839882,0.6456735005123406,0.6658725040301428,0.6511998122268766,0.6900958841606415,0.9608234474782767,0.731291885113662,0.7496045566950245,0.6291848859819497,0.6088070601433673,0.6785050123941002,0.5984615562737962,0.6390687313571722,0.6125451081801526,0.746055853829692,0.7748809282189975,0.6425484539085363,0.6191901809043443,0.6558087005119311,0.6860801927787276,0.6378250818494346,0.6025910613472357,0.6455433225576579,0.5634918080173915,0.5662122277731809,0.5625444679708891,0.5072890973612483,0.5637685620917754,0.5300764046134823,0.6613438529563331,0.9184669066014851,0.7550661288000148,0.5757511313054553,0.5301746526443173,0.41249031659758456,0.4659270257454072,0.4166170501001192,0.536845185507024,0.48374915607298064,0.5661303742899848,0.5340966494837693,0.5696054230342861,0.54052772318852,0.6018700224437721,0.5118901178860397,0.5298135888242642,0.4951467732074748,0.42050109722657375,0.39279504112221403,0.39682297584523796,0.5209447329784771,0.5356292978915401,0.5480467529367589,0.4809834762438025,0.4776101436724126,0.5878173124647674,0.5747798940978748,0.5939507487426108,0.6211607375512664,0.7470153700762281,0.49081504298713974,1.008684922540529,0.8731589752602389,0.3978912763280408,0.606623766029168,0.5908485779800302,0.5818397915927617,0.5729589316495174,0.6328224757061618,0.587483992783151,0.5782685021849114,0.4732911079685366,0.4870799429205721,0.5248871884598403,0.5805671594293592,0.704455466475646,1.1074686284250057,0.9796526274273509,0.5667103619718613,0.5401374067425662,0.48892352952229456,0.5179135787347573,0.48256192681540155,0.5740762660925169,0.5788137345121579,0.5837166789483982,0.5585104882243019,0.5639346456910174,0.6905066330285121,0.6067913873407191,0.8396835306311133,0.9958715104335449,0.9381338178618404,0.6320035405387191,0.6355966100613939,0.6160780833616327,0.6302425045792632,0.6254959649804328,0.5943756406474664,0.5989009421384949,0.6710674473930046,0.6803833344497214,0.5885214516112914,1.1203269090008516,0.5050506974954341,0.573927685857217,0.5171922161098846,0.5275719381038989,0.6525778810913068,0.8105190819828628,0.9335055838094418,1.4850649308956991,1.0068429730231856,1.2202114886855542,1.919915010683494,1.1216042713840038,1.0995786113374966,0.7959257907599542,0.7700093130812853,0.6910256966454047,0.6575629054778689,0.6155959872432238,0.5590692657926978,0.51876523270021,0.4690079784083323,0.4754783612219032,0.49197261358694894,0.47103677964573715,0.5169723795868056,0.6143986985925071,0.5829250233143349,0.5803344979748427,0.6847738167786667,0.7145999295841383,0.7094378809146065,0.7783011386280277,0.8568734054881151,0.9304759847337102,1.0054729728364706,0.8806492683709813,0.8952870948602538,0.7136347133207896,0.7038427417322889,0.7196863954906575,1.5173289656481759,0.9719062934519697,1.183908381081759,0.6435109275877112,0.6568223096952304,0.6930020913821571,0.7307231866742566,0.6824367803793578,0.6305964370371289,0.6012328142416368,0.76683868595083,0.7293376806594817,0.6381446374974448,1.0748122110309721,0.9228096574177582,0.8409667948683883,1.0520580426626762,0.6399919632511314,0.668749350542974,0.6268627945031543,0.616338131362707,0.7484488472114905,0.7268628280401264,0.8664967702765864,0.6797477269908632,0.5972073577832545,0.7467673755179924,0.668323321641774,0.5128205893769354,0.6346286841548721,0.752306204255354,0.623936072569368,0.6165901529244955,0.7669251699905384,0.9074155958285245,0.7634891449853384,0.7156747183057613,0.6269656231133952,0.5495637444120147,0.4910221222240872,0.5374281872270851,0.5642629439932942,0.5357919139999151,0.5284859759591746,0.5690942831139864,0.6073388526723111,0.6051859553041857,0.6907454036171845,0.8784791859010476,0.78828384687496,0.8038374641496704,0.8935591432316464,1.2558009575684252,1.1299493896669257,0.9857866942430216,1.397021621029931,1.5464359843532531,1.0149483750083332,0.9893398937743186,0.8501554150423674,0.8257757510801771,1.0707548816817434,0.8508735674310101,0.9188096291039729,1.0171648787672136,0.6980886660641471,0.5472551045516083,0.4885670822775168,0.4534190975037913,0.4751819173993972,0.4385873796568033,0.4411222330321643,1.127617537805803,0.5071644159739979,0.5597804708388578,0.5869624768642046,0.8508442240579909,0.5267328741220768,0.7945716557645659,0.8026750059089043,1.6154414195337912,1.9726610478317819,3.209084118249558],[0.43889489512800384,0.4839896022505322,0.7183185193250408,0.5099975909394265,0.5575492608091915,0.7090503699375368,0.6812275783756112,0.7361872106380486,0.7285000870264315,0.7870322420459904,0.7851427395787172,0.8459928819754496,0.9019645938604808,0.7811937161203939,0.8443972175750979,0.8810214435085068,0.8465768370996828,0.7814383955185443,0.7813249550848064,0.8066857497418237,0.7446795821287554,0.980985778149326,0.7746029403859547,0.9470072102596558,0.7601766765729787,0.7210465155001969,0.7706846742855377,0.828669992591707,0.839905866910972,0.9629634610604377,0.8400418548872064,0.9374013886436031,0.9019705158379971,0.9381235980085852,0.9483197221618684,0.9545755330302844,0.9723300076985807,0.9852434051783092,0.9568927559585546,0.9280299090895463,1.0843102361885208,0.9198255672284161,1.072125642426014,1.619374575941264,2.5357085390312117,3.290677164645174,3.707740660234992,2.262758706239337,2.049209591372474,2.9540060643010637,2.279935246901082,2.247630858506357,2.19559281317195,2.9809185054762124,3.611073378102972,1.5038114534138662,1.2894919695904383,2.6784134066100784,2.287838409594357,1.8625491892376913,1.464779429082194,1.1946677140579778,0.9330715868913152,0.8455641669622109,0.9127835389065218,0.9422118272077014,0.7606703775565329,0.7412409384372013,0.7064524175507468,0.7033803334696083,0.8317721857776734,1.1149849941629284,0.69653689940477,0.9550012486826839,0.7681468167706046,1.0024351344982265,0.8588528524907634,0.8966937795562304,0.9841998447257317,1.012302860312183,1.0282918788584943,1.0832985422064474,1.2547136687553897,1.1184063608952617,1.084524326543443,1.0271901046038987,0.9685103662360255,1.047320182157473,0.9333357060418062,0.9562756476822298,0.8783875820301503,0.9529355159082719,1.0069853624888128,0.903140604739296,0.8845275721150638,0.8578484183296281,0.9032557995517125,0.9337476588306016,0.9314303053379206,0.9553631686351687,0.9630604637390203,0.9491337054267719,1.026158493936944,0.932241879233445,0.9857873800896141,0.9250336459019798,1.099432167875315,1.3327597267245548,1.0976463319877454,0.8177522493323139,0.8535242726963318,0.8393604502103297,0.829004495623167,0.879918585239987,0.9010748849424232,0.8932709866427669,0.8948603814402751,0.7678904043071895,0.7830940866337258,0.7425012705191036,0.7553194068872195,0.696840896867718,0.6325341557287256,0.7304864735391255,0.6839274469075102,0.7708129679224685,0.7452760583817267,0.9273495995923291,0.960409202969805,0.9533735495656628,0.7113566039437067,0.7767630619121604,0.8645116285523641,0.9413375430149907,0.9016494522910096,0.8691933026324828,0.706303172906516,0.4873663574705863,0.5628611858943012,1.324624425439524,0.46050308566648795,0.6329530636275645,0.7243845603480876,0.8690579657938788,0.892080445770513,0.9961915955992415,1.0156909115893784,1.0017600313417632,0.9307174079290721,0.8746922560739486,0.8778956643238992,0.8557840964732508,1.0427194720459643,1.0867984897820253,1.0615175961085717,0.8976708099102618,0.9164927064796904,0.9030978084425667,0.9840297725708865,0.9759849588895355,1.0142109031986932,1.0268214420180746,0.9768579786915873,0.9532644943575784,0.9175999422658788,0.8623867568410362,0.6967011252862737,0.8237816259751564,0.9216410085840475,0.8578362812351422,0.689101680925496,0.9463564713075535,1.0273884366457793,1.0684687032233706,1.094787234681267,1.0778442123770646,1.0672925867404273,1.117419269228998,1.1285455699518048,1.0652097201676072,1.490808631896928,0.9373081126280831,0.9155162946097974,0.8089541581389639,0.8090710644665288,0.90636575799683,1.0586209662601016,1.1474681372031144,1.627758743811692,1.132490057084479,1.1616676549018943,1.6771978015716904,1.105698994035193,1.1507382473007477,0.9096697885956282,0.9299373049629556,0.7759364769708796,0.7428149215429207,0.7306459406750155,0.6805992698373275,0.6728148935923548,0.6666646512699175,0.6761716082225344,0.6066924583787876,0.6055931447634603,0.658644218930748,0.6649518016426764,0.6381994397825946,0.6629561104664875,0.7773604121487693,0.7848453505737024,0.7747423033054098,0.852813117063699,0.9250299525883054,1.0105355102468565,1.078961362682924,0.8936134325891775,0.927358197307655,0.7514404176546071,0.7397073535295813,0.7608411917266704,1.4888718122816749,1.0990379693121768,1.0997914101816009,0.722356231911175,0.7772438560398102,0.8314418057466487,0.8693086053364856,0.7832515156037833,0.7614323498306572,0.7514109541548414,0.8955506227657261,0.8171100912295615,0.7493279728388873,1.167385740770799,0.9899444238855584,0.8803494336084662,1.1180648350047009,0.7386002970298303,0.7573318667619673,0.7603440883914485,0.7709149921119188,0.8769684150084922,0.8814560282290486,1.054554912476169,0.8377766741839001,0.7712174596158079,0.9110445995803937,0.8504016251231216,0.6714587890661171,0.7525619525720022,0.8419561192832623,0.7237770573800831,0.6962004906118655,0.7988931900318345,0.9287781692487928,0.8027322732347054,0.7463119839353031,0.6927504994339316,0.611273921351792,0.5941424294089173,0.6334339125765001,0.6085641308770591,0.5958483107113643,0.6113439338369371,0.6278321126264593,0.6420251343379499,0.6420975660533735,0.7306415986003637,0.8878214896140162,0.8228847167931043,0.8437025686852939,0.9782287552199418,1.3231330577154872,1.2365194763792589,1.0621276007377531,1.594699391686569,1.6767773286306273,1.0563936338510351,1.066863197643514,0.9124979565180977,0.9442895532682931,1.2293341206438024,0.9524663231872662,0.976421197608696,1.015951054176579,0.6905686454503673,0.5891663573930024,0.6282520444350372,0.5429053317357009,0.6249006961110042,0.6905250690513335,0.664838477992356,1.1022475318540046,0.7316751676826203,0.7165282695579482,0.7627030395810239,0.971697668686221,0.6589555632075191,0.8569797955266597,0.8220191342693017,1.732796113093307,2.0099069593151713,3.277610911269939],[0.4898105451862701,0.5513478679194658,0.7608125705228319,0.5913251443442721,0.6152880325353933,0.6110835012518703,0.5607403148704979,0.6276003682546413,0.6643669765775344,0.7379153277777777,0.7842319781059272,0.8090579451662656,0.8402566794706238,0.8142907644745184,0.9430572621074893,0.9145337254614014,0.9507828602058849,0.9173694879156905,1.0203717009579227,0.9598146357457779,0.9929861506531185,1.1847815149872665,0.9933851900959569,1.2723502308225354,0.962283552063715,0.9629437676418448,0.9320115082219362,0.9071672405158954,0.8937781904313552,0.9549468352835349,0.928967447763326,0.9228572142838878,0.9067272160727018,0.9808434917470066,0.9695921934754944,0.9897263763010138,0.9469571256058618,1.0200968942858615,1.001663228855715,1.000064422774504,1.1507082495407361,1.0356914685602792,1.1962436019554934,1.964661701076309,2.9872517360015176,3.751825154927047,4.2163519392663185,2.7444973618808017,2.3764877889961302,3.390878467519099,2.758058218513414,2.652706801625704,2.6484087980209026,3.356695722384864,3.483407866381675,1.56484162696175,1.4494374901983516,2.775478738362288,2.19570526438578,1.9402698411035553,1.488719342419677,1.1537985213953041,0.9848353202531095,1.0055515351311841,1.039365082329783,1.0110019480704815,0.9541081124919322,0.950198668248358,0.9773125529143137,0.9746465606813538,1.083294235999156,1.3914419871997827,1.0002179114028864,1.127090018977789,1.0166720430216165,1.2222596731482027,0.9786037930255006,0.9741810356519786,1.0277116515673181,1.0760430596681216,1.0270686880094677,1.0320205947236054,1.2145214025337525,1.178772798872451,1.1507511036935898,1.0061925410571193,0.9886967429602114,1.0292297816630034,0.9813025582508083,0.9729452977346291,0.9690841218666558,1.089062182834107,1.107987484537911,0.9810833634550387,0.9511249819803577,0.9899251344477045,1.040406716944651,0.9349941324375367,0.9072292749042848,0.8836258430306673,0.9020019298683657,0.8521329541615118,0.9289138815670929,0.8320586901218091,0.9293321628441508,0.8238782913265066,1.0392005657931718,1.3080310225180685,1.0501583250646385,0.7707468819188166,0.7543575034306969,0.7166456973528396,0.6863296807536649,0.7078297491324677,0.7525412154501185,0.7679750001386675,0.8370870334381258,0.9829701279513526,1.0789490672645157,0.9515251313755622,0.9812392254570281,0.8604461894445763,0.7292419923078323,0.6276341562744023,0.55435188980449,0.6186348376778875,0.6488471605010159,0.8684636714433838,0.9996842231262545,0.9900069323159437,0.8485266371618723,0.923124270340336,1.03940822791161,1.0194183333617668,1.030641116404914,0.8965507211178257,0.7515718146738632,0.6335148539626607,0.6499212832373915,1.4278754227491885,0.9237812918360121,0.8924667883959587,0.9211003862141652,0.954823832391564,0.9496326637501634,0.9321169805851401,0.8912736888425161,0.8374713122532311,0.7618795525052399,0.7353423869703241,0.7430071200213894,0.7462364791937415,0.8549697894132351,1.053673553983999,1.0764978273622967,0.8118760983833003,0.8169384951774349,0.7783436739911195,0.8487376172132259,0.8149020878119384,0.8859298567978501,0.9327751198751627,0.9708222873678132,0.9747099747769851,1.0594939365687892,1.0806947989437854,1.0005270801334862,1.1137082134836693,1.097881388219499,1.0726492510279715,0.9841189007814257,1.1401798024154783,1.1244689273611743,1.0408171686072938,1.0153673626666346,0.9808401944362929,0.9673576416303223,1.018139391192746,1.080974424607077,1.0250696364741658,1.446538014648345,0.8954279061353767,1.0135771057434642,0.968691278669492,0.9779579536384317,1.0327540749142081,1.1467831454237243,1.2907346316004193,1.5877368485397556,1.1894011760964789,1.2585333739260136,1.7843443677906423,1.1856279239588199,1.2616588695872653,1.088028253149837,1.1373597469265104,0.962169274686107,0.9096594820688249,0.9289378343853354,0.8093222907641692,0.823382181166655,0.7546918882963672,0.7572354638420067,0.7788519123028208,0.7397011460094576,0.7365185142073871,0.8120653774558224,0.7924436081149305,0.747162563399716,0.8541328823270091,0.896961769919967,0.8744904893552046,0.8968539797050471,0.9990226870772483,1.0980995396449527,1.2018857269128207,0.9954077117044943,1.0936987467147548,0.9207518009297034,0.8927901443585714,0.9358505146954402,1.5835907503692959,1.2573172314359196,1.1749888748176662,0.8676671833419848,0.9383793791201215,0.9707536492602593,1.037711854887703,0.9597406786970277,0.9440277802823562,0.929385637782127,1.092582528174972,1.0324055927799667,0.9641134929431151,1.3189934017197877,1.1787397420860044,1.0807348868214168,1.277022280515616,0.9507237751677177,0.9058715228752127,0.9073589379108782,0.9028842640005605,0.9688251551968905,0.9604044664050678,1.105619447435416,0.9161108160834311,0.8422830195158701,0.9520584439301579,0.8564665839510521,0.7140543595994511,0.7630328154698417,0.8366215227613031,0.7353532705950645,0.722499253489804,0.8130369680463579,0.9350015311292575,0.8494801254746751,0.803535040706023,0.7841028042368012,0.703602342164086,0.6897111194644507,0.7607949455394261,0.7496268625456591,0.7393576655914885,0.7847965732899478,0.8222165640617317,0.8235452072748985,0.8349384753497392,0.9299398129541688,1.0605345689667567,1.0129867703166413,1.0552016422904884,1.220058179751192,1.5784642130810957,1.485385836980484,1.249143456819861,1.8089651472878334,1.7528633666228441,1.2410093517781895,1.240623384322317,1.0751408309393902,1.063631099713143,1.3770155943507747,1.1211955926123367,1.150552793389531,1.2092694996894178,0.8820871474452434,0.7669883361517267,0.7825697893326409,0.6397496430471765,0.683137108332523,0.6758720768085577,0.664516392855711,1.1355678620615792,0.6810223823971345,0.7048355926871752,0.7247095342647205,0.9370388163063591,0.61845678036565,0.8229400241901573,0.8181357075344607,1.6564108859858635,2.0097142095463787,3.381077844909381],[1.474436475450992,1.3189083512741773,1.2872043458786142,1.3777389482875153,0.9729175201442385,1.3825986807273811,1.2191213084053987,1.0891360248029376,1.4290126444457358,1.411381616861845,1.4960455847614544,1.3133716768220534,1.0732443678485575,1.4502552483324853,1.2666018851955805,0.9786580122704784,0.9263069235203302,0.7600095746497316,0.7914287137014825,0.8907350776747952,1.107417478145775,1.423003343441705,1.4891065029060044,1.7142469111915013,1.6129080931219335,1.277209336674206,1.1275566558419416,0.683631943968649,0.6055121170446428,0.664060261339016,0.8524556750899699,0.7367012756684488,0.7736470001293196,0.7452205402607622,0.686154683123624,0.7238423368806655,0.61403006553556,0.8895412496188065,1.0266478966171992,1.3018899601562555,1.4384739079284454,1.2243689726826994,1.2800913899960173,1.4078372185478791,2.2378277914554427,2.9572941725818835,3.278368296535272,1.9794786181059303,1.9432105494511354,2.566740113849304,2.106726089871135,2.4174621586149168,2.1002950874258692,2.177319919084261,1.9715338419005186,1.8809727566957697,1.6855317962008025,1.5407118768183699,1.0996753651618683,1.8578905762107727,1.4417253959312932,1.1831774889432105,1.029975988268985,1.1751041797246986,1.1951256122049307,1.115441174203131,1.105070780098136,0.7898584982865305,0.9074262268008181,1.0482248887961823,1.2362993304521632,1.5426795173583927,1.0894011142899482,1.1153576950915436,0.8677173696460434,1.0515107448095562,0.8632146949938762,0.8150562439619168,0.9018527606788634,1.059969301786249,0.9116084058548185,1.2602669380823959,1.0033323350968266,1.1524911548548193,1.2069816323906912,0.8833191166191937,0.9635305631114462,0.7490431845605081,0.8364850258592831,0.7250838378735864,0.7759900884394196,0.9381761430786375,1.0651558847402698,0.9714562868414848,1.043907362135767,1.2409251842661868,1.4201633357340901,1.0728552903568829,1.09388659838296,1.062856989439655,0.7869813203350874,0.6878891155163492,0.646594038396196,0.5467002424535132,0.6692929876030681,0.5927822212012799,0.697884050974777,0.89457736126001,0.7339312014879964,0.6122268385430916,0.6216291218686524,0.4967857654788023,0.7707115326740185,0.5983651392317109,0.8472840156715068,0.7093821925472539,0.5829003817644962,0.5913840750700917,0.8804973899528233,0.8793979227255785,1.316082421797998,1.401251209220082,1.4203750971665674,1.2362464479520776,1.1710072554599915,0.6368335362902116,0.6647622021831099,0.6618421364538242,0.726059177465276,0.7924914063621689,0.822519138787073,0.8920061508372087,1.1162777695502548,1.0061268658613614,1.0681319995734682,0.9148254461406917,0.8646891909668515,1.0436572664698593,1.1670700405025431,1.0784478467466394,1.5402684073842292,2.0918126448405996,1.4504197981921778,1.0835884614525992,1.1493413435896054,0.6584875064822155,0.5566860561126193,0.4971251959457414,0.476010082441915,0.7729721192991416,0.7344840431738302,1.0319611833504716,0.9785664137076929,1.4005140891924954,1.3698873629701442,0.9300655311512356,0.8852515994980676,0.6494501323612902,0.6139999073478256,0.5055629579063253,0.6826834118061579,0.7041167390421346,1.0500796857260173,1.1592680484042632,1.445291666329271,1.6883582104567008,1.6374115735894534,1.8556718219117747,1.7287733076040679,1.7116907322152841,1.4122936923394809,1.201657253895393,1.1337887410281173,1.0501316672878562,0.8980326859626118,0.6979343079739074,0.6284716789467318,0.683147389552638,0.9099367467772395,0.9204321243979889,1.4351545723918426,0.8816361229492321,1.1684839025726865,1.4162096497125831,1.4423984021212608,1.7014680236515014,1.732036067851814,2.0176218670050057,2.59076423101667,2.4108610029610795,2.719307480820448,3.4746876369860824,2.1845992979299385,1.8454924120369602,1.4963353430140143,1.3202370019195961,1.1430881000844932,1.0853641725535845,0.8594366741002477,0.7386497275204327,0.7020347871800378,0.5989030401439689,0.6215322818104106,0.7020724766022736,0.6702379675668056,0.7853923334721383,0.9282468449328048,0.8651985318501705,0.8911736463734595,1.1425552700100015,1.1774493854211794,1.1669518289551983,1.3301187727319321,1.507852700648069,1.5344831030019868,1.5284647881238405,1.3218262520500068,1.2581852869828956,1.0323853174485864,1.012624413297954,0.9722729290108543,1.8068650765110905,1.2645793600337372,1.0167215975286346,0.7954689921222295,0.8389188990286193,0.8403851304128099,1.0135003682478978,0.91420493563625,0.8597831749648114,0.9191655192824929,1.1779507973605254,1.012472766217428,0.9755863286928047,1.4247244417298315,1.272029519224426,1.0731244235621606,1.2298331877335276,0.8908290886898164,0.9986044926627781,0.9237543045070273,0.7906971419838013,0.8850449897958534,0.8054928729530776,0.9013699029347878,0.7583286895299296,0.716322321969281,0.8367551205052155,0.7400454023749095,0.678145270741568,0.8148808490686846,0.9647566465568543,0.9344107829159085,0.8917719056012247,1.0428461135233316,1.2674466226547056,1.115158828618475,1.0188958460792226,0.9481154041237416,0.7560045147948073,0.6792060572355955,0.6857794387083256,0.7696816439224099,0.768612238997239,0.665669093017638,0.7355245843055559,0.7975261450288397,0.7591072033834927,0.846247507195941,1.0067694340255287,0.9770615578838038,0.9832247343571537,1.1194947060743443,1.4661013541748493,1.4062250839662882,1.2699419030909118,1.8142171599481598,1.8056357886038585,1.4096241608068079,1.476546705624827,1.2769938798758658,1.4113283256435236,1.7115858391921175,1.3102959576583146,1.2290898641322179,1.2085680143202713,0.8757643137935168,0.7638714192592806,0.6769951907280211,0.5993534245900424,0.8289591157649544,0.6294944058398295,0.6819737841836425,1.1359165327940528,0.8431839704365791,1.0358863053709584,1.1615678337371356,1.3061563065829387,1.3240374916006705,1.4482150801146274,1.495069382481319,2.3140048643575097,2.6347317637911756,3.7739699648982374],[2.059126292641175,1.9354307455702509,1.8890769027930872,1.8953096003881165,1.5773646110793742,2.041537318230187,1.9256843010908578,1.8730347068320472,2.166128707760649,2.1249523039800415,2.1927944820772445,2.075868440178202,1.8490427751928307,2.123330255703329,1.9089201765724324,1.737824133445348,1.682586698583714,1.4949183806559598,1.4319255804195796,1.5406843729976174,1.7102835390541393,2.0073304380127843,2.039386358982524,2.2850131294582465,2.071725577444043,1.887710016826435,1.6797668625173596,1.3940147195733845,1.4239681121343613,1.537947243098469,1.566590439837692,1.5849346485135156,1.5989721917901603,1.5131860373049353,1.4710302389715773,1.4607461694473962,1.4205681528396683,1.4642745007647866,1.5031547378754484,1.5849342290976254,1.771668134552903,1.7599211275404676,1.817623588809976,1.9032966932504483,2.5508300674103217,3.0993949094362483,3.3393774883545753,2.236554935122022,2.115793564371589,2.653151058075742,2.2616453082076258,2.356733216384926,2.2338369750937397,2.5436042012392184,2.3956788491197596,2.2828254065929743,2.0196013140487343,1.993606635664738,1.7493611555680555,1.9763250404336097,1.8121991452180604,1.6887429895412085,1.533996595928705,1.6449152042223483,1.722018361964961,1.6450896248324007,1.598017733656356,1.4140683343008067,1.342084786879837,1.4510810584130232,1.4914220163118568,1.6838220443462186,1.4371764146775292,1.4916888571969946,1.3841934740112343,1.6041553882730244,1.4473127640093384,1.4413698488247748,1.5288265801525316,1.5764529961753904,1.4866717066961999,1.4678713076160455,1.5200875056963532,1.4363643673216089,1.5424815533510776,1.3849498486645404,1.476266416571557,1.3838973564885424,1.4519175115503533,1.4606108565512295,1.447851236699637,1.5069195936808808,1.650068944312857,1.6389788154093916,1.7091171594211605,1.8045994581288842,1.9792569149809596,1.8127546118500801,1.8916348926393458,1.9121186321080499,1.6846241634768415,1.5975592231092215,1.4879645189442732,1.3923844637428862,1.182930226986084,1.171042707662677,1.2370353567053427,1.333669037676958,1.2995420743826605,1.2493454731008227,1.3997845189641287,1.2858247760944348,1.5621041223975785,1.3310730692797506,1.60170391584469,1.3569351714502536,1.3578713523148807,1.286228094524371,1.4722726118564846,1.5020306382632218,1.8389453653320749,1.9837579374937133,1.7720179443972146,1.7484066482472265,1.7860941546180817,1.302345712471779,1.3165445107167573,1.299226298579381,1.2231210926981158,1.1885358086862847,1.0177059786885587,1.0504691932098813,1.1282219945590273,1.1592108305722002,1.1339051948965386,1.1172954222672848,1.0776645593805876,1.102515532153527,1.3665115675690196,1.2376600323599256,1.3400167179168945,2.039966652392708,1.7107039890786941,1.3378481014663488,1.420520170713587,1.3338077654006637,1.2699536491524392,1.3848129298534437,1.3530861126303828,1.6114544170550729,1.607827582403068,1.9117155114744055,1.8560892508953388,2.258110687347006,2.2134397424753627,1.8407382595823043,1.779382376335176,1.5713560508331366,1.500594416128941,1.2957978470109288,1.2015759819945246,1.2641845042501119,1.2403539501027427,1.3553598899652182,1.3903371760850134,1.494616141308184,1.4455547298603735,1.6638584497150237,1.570913839944387,1.5868732439850544,1.2800350007524934,1.18093261043726,1.2244717424747698,1.2493909398855136,1.292499311218335,1.277161143500848,1.3741249254866765,1.3340839083368692,1.3694292972670083,1.310124375267901,1.5329300751149773,1.1759623529136254,1.2485114812792246,1.3411824913766068,1.3596990623993979,1.635443064683885,1.7368363194234087,1.9161630921321546,2.423105718643649,2.151220579114216,2.4103226717794053,3.116378226453679,1.9471861577981455,1.6331512269637476,1.3421682415734175,1.2143353474116272,1.1183437456433258,1.116381492902172,1.1077945748109335,1.1127959493930826,1.1439826747648714,1.2395829934818352,1.2707158340709217,1.2642761415528154,1.3126739398145042,1.4856118417962014,1.5305470056077335,1.4933619526320363,1.6018567935468162,1.7876180445632488,1.7745244944414638,1.7959696611341704,1.975850431335568,2.0916644879165793,2.096256099483566,2.049385165325128,1.911563066687176,1.7607606147535764,1.5760018162826486,1.5933779833142614,1.5033050112171389,2.243754156124011,1.687042268005886,1.3489339852698183,1.2154421477033328,1.257839980958549,1.291949346208628,1.2705082785051272,1.1965490348182608,1.1995558623714029,1.1481405511441887,1.244486696373581,1.1525700329104582,1.1197579846299421,1.4560861386102708,1.2610776971046163,1.1658942583112988,1.2683598101980895,1.1129015059425356,1.1889473534839992,1.1657624827581203,1.2421591162945969,1.3157288796100124,1.351447528038816,1.4509615761822334,1.315872210825949,1.385479346054224,1.5407901782597617,1.4643952080021836,1.4301729549576017,1.5998661622252814,1.7563770419576954,1.699907770740129,1.6483171509806993,1.826123936248479,2.00706171034644,1.819105903960756,1.747010747934575,1.6397223969863917,1.4863171325388316,1.3932151062951048,1.307327907447451,1.4374903310602243,1.4076912493938811,1.229656343895284,1.2634510040578162,1.3535242118603639,1.2309015227983793,1.2119198356376315,1.4283528162637364,1.3848847925135663,1.2370867161887455,1.3293386572825971,1.6455953650007042,1.6030231101481431,1.5619807070250253,1.9175232215319622,2.035336994300058,1.8009444372770276,1.886883372881042,1.7698010109527154,1.920494916164332,2.077268002884835,1.7076717016306482,1.5563473150548965,1.4901468248503622,1.25644743829657,1.2383355208028817,1.142505337050404,1.2496510624216628,1.5462866133658248,1.387505613397244,1.4732425549133414,1.6691217521306072,1.592272718559722,1.7808699706604343,1.9441123935761955,1.9653754776934378,2.0228996834057096,2.1842371711083977,2.255236388948058,3.002306098022755,3.1556482366855434,4.0506273908398125],[3.396661202870808,3.200118286973649,2.9643126326005533,3.025077776396003,2.4892780682110445,3.1639044708654622,2.95672632400048,2.82744133656111,3.321307491896492,3.1837333478584076,3.2988927361245723,3.057003164801582,2.5584122748846507,3.126312033639198,2.696254392122871,2.2951823279481642,2.0777585481565137,1.8388090056597686,1.9017882714761252,2.284533293590339,2.797391868964303,3.350579270338972,3.4484154006469,3.9419535174634084,3.5846290554472358,3.1112967192426755,2.6883754168095124,1.851161775517092,1.7754251828317311,1.901790963328375,2.0122553106999286,2.0262425090380316,2.07306713608719,1.952019226198804,1.891181886994558,1.9065694762112082,1.8630546350105153,2.117449981038595,2.43642248761992,2.815066233403825,3.0946153933505927,2.990309122322168,3.1813963318769694,2.9606585666464564,3.252319838447841,3.50219681055276,3.700239640137517,3.1381808458451212,3.1009067577750624,3.262081177363452,3.1082082188810003,3.1476643514642837,2.9505012118498457,2.776381348153152,2.7176550886859574,3.624410216081268,3.2475013544272953,2.3601538787414604,2.5050724721294166,2.9925030263587074,2.839148661081059,2.73174447424575,2.4396320145855284,2.7041307899962055,2.899258958814653,2.6429305587787773,2.4918047403637535,1.969915990313187,1.8747841416251105,2.030857852596836,2.1276687413374966,2.34764878472382,2.064160162266032,2.052772195524942,1.8864605787772422,2.10443141449235,2.109918955382471,2.036243123061677,2.2217801466457687,2.4629768858168752,2.254703808134482,2.4536125686874017,2.1976623508342934,2.3871088520186743,2.5457574013359427,2.1496747514008736,2.3215439990036066,1.970325388507626,2.0925824096399275,1.976291087742994,1.9097688760876703,2.003323988288208,2.1003723593773276,2.1579501122728084,2.3089345452410677,2.5826755528044036,2.8726786186048145,2.478796084590557,2.611349906535149,2.6719439145535104,2.223380278963395,2.1608687673681795,1.9806625875232173,1.9413294923281463,1.7495859065104933,1.764299570405551,1.840185827637167,1.878560164995106,1.9209858123508026,1.8349878730398492,2.079998779214918,1.857365029241529,2.268701684418372,1.896513532217698,2.2058531791033285,1.830571778743727,1.5825062194091084,1.5032074688652095,1.9870980376563865,1.7201176711937785,2.1296945088508137,2.6819153349550633,2.502720545249331,2.591780376330564,2.74270441273824,1.9822642613096237,2.1204740686272014,1.8903191477875991,1.8160532325888281,1.7317845434521155,1.6476765884255389,1.718039138165151,1.8755684443102263,1.8477627761627404,1.8511301851805462,1.7364249664578224,1.7184607968360568,1.7354977011462451,1.9238421054452397,1.7063039946531129,2.1374254397145207,3.377097615065653,2.8036047441269707,2.0642121347905973,2.33158368589839,1.8190740803403953,1.6702524605908355,1.8077312506048069,1.8616351404347606,2.283237356750166,2.294273438787128,2.7756724949562157,2.6639883864940286,3.2042425036705815,3.048963279442569,2.578820594196914,2.47422877035719,2.1849262965506915,2.0153149860406363,1.8221690400092605,1.72495454482614,1.829645280047323,1.9978255896773776,2.3065112311706986,2.487522779512501,2.6008059758813586,2.5097669277149586,2.7694091480569636,2.437157220689174,2.3434346430518542,2.088801435145507,1.951319614772187,2.0490050438755465,2.054060673115254,1.9980804780908756,1.874143374904173,1.8955747044449716,1.9178531405721486,2.099894913339156,2.0432172639737343,2.3144436046361356,1.8794441385867595,2.1090414023730526,2.362451292690006,2.3749702850549705,2.79542406579489,2.939851235886844,3.2355315152948294,3.7659058549588833,3.524023040734854,3.739106176626332,4.188723465515687,2.978317729609558,2.5100533820690103,2.1738953879943117,1.9665413290107596,1.7933079931350338,1.747145544641027,1.7190702470181216,1.7419693482714014,1.8076216811073933,1.9322266388833518,1.9623933573813461,1.9740841390429071,2.055157405158962,2.29441331388771,2.3530855537737634,2.3017828499033457,2.4691357013954702,2.76319623290479,2.7511330630897413,2.8002826051754104,3.046637345701887,3.1702551463344304,3.109324283027024,2.95112401845065,2.812481294321539,2.542672838221814,2.3883383323307337,2.4154722364060737,2.222304760656552,2.7952657442551745,2.2864738625960097,2.160913491181142,1.9046871160354282,1.851053534369385,1.863537136461073,1.8597916184403795,1.816762991539054,1.8232819571200807,1.7865015413632335,1.8659085258739394,1.7488648417922772,1.7494742504640588,2.0923022617400675,1.8836486872364344,1.7169098571795893,1.8669116502274814,1.7309959562318502,1.7727180269283844,1.7885693399015055,1.8520514425010266,1.9058355612201385,1.9698468910492142,2.025540485444419,1.9416813542053688,2.107272457083977,2.211463332770646,2.1775123727284185,2.1961518432054383,2.4230795776373593,2.6103269201054404,2.5927151748839457,2.517696625995696,2.7393456923047586,2.960994293945654,2.766577920553336,2.6687845460090993,2.5322427750193857,2.3026493377368316,2.1583130774281347,2.0377244458104493,2.2242873362953626,2.207412312028309,1.9600122290870579,1.9957149325333847,2.0978974097907446,1.9117473827999598,1.8436774048074254,2.013521824759267,2.021249919939713,1.8481398865870908,1.9439682842243513,2.18210588371549,2.154650903211281,2.214319923865216,2.4262064563647767,2.580042598313665,2.5232074189961726,2.662778375028337,2.5683836739302754,2.8355035315517,2.8790117964372093,2.467400636505486,2.2413896401396625,2.163195680541711,1.9829320422864696,1.9884414883501063,1.8161884988706047,1.9686383945970465,2.368829694703496,2.122916331597132,2.2589482803258356,2.2007607279467454,2.4194223532858103,2.705229669031774,2.8788743678746926,2.87747677380748,3.127515183482414,3.2935051773979396,3.3567781040887645,3.958771717665174,3.8811798120743934,4.531340137801803],[3.72939241112676,3.4474621353628963,3.1617902626880996,3.172982242212096,2.6808135793552252,3.66069821231556,3.6171889949304026,3.8179908722791818,4.432086805720408,4.456567345836499,4.899773909486189,4.752565057507736,4.234478100168159,4.83294959412606,4.715295247146651,4.267144371792502,3.8813445718039854,3.598105670144758,3.0280844802167515,2.9519426892925638,3.125027958594217,3.4748949214582296,3.6236500724982026,4.182812048451648,3.61036556020702,3.140604417507688,2.739987558138957,2.5739616705913155,3.140202160554452,3.530123720936659,4.020930989624024,3.902888294164972,4.058396454686268,3.8003412629392703,3.5435648087507987,3.3520432777111417,3.218467198063875,2.833026499613522,2.683197584399515,2.927476933161338,3.069967466863826,3.116927598183096,3.352000936526728,3.273307737829413,3.6890420434940534,3.8499397450278754,4.1309590562982175,3.497910280307588,3.250374414489082,3.513585941831671,3.370010692967791,3.3093425322723222,3.3559419229831002,3.3725608799333986,3.360200262359106,3.806924747980897,3.3616646252702047,3.2012209084096357,3.1880401804036604,3.3626312957650955,3.233154478717186,3.1666064024215284,3.1249321628352664,3.1758658770550636,3.216943542818541,3.1063988346538634,3.103572141797431,3.2097860219447045,3.3031838689204345,4.0268159217104404,3.9393417075199104,3.859776627983083,3.8136451896259915,3.3757771796383995,3.476482424439157,3.3526557381209297,3.1934028491519757,3.31858471474476,3.2251856950242304,3.1044566560925664,3.069033429207987,2.91347706036779,2.8962143961093005,2.708457552049514,2.7532364495255433,2.77881767936994,2.9068624807530155,3.06582147805976,3.1410943739475137,3.4443467371657355,3.559273842066614,3.73408929067262,4.068536295034194,4.232701358709455,4.4122734213381625,4.690840386686392,4.911580161328484,4.5136279134452115,4.514315123527035,4.457664316210685,4.005773834764043,3.699236503024189,3.3938999192114836,3.09170369970062,2.500484614491864,2.467066325794598,2.468535414990954,2.3143487734970343,2.3321108014461047,2.444687631168486,2.6803568596134775,2.52496353049652,3.0867053687878676,2.559265263001838,3.2488930737476336,2.5118633557344108,2.563230309972415,1.7177729540529554,2.5066023537233066,3.2842850324170083,3.6377455589455137,4.08992165289183,2.92177168959578,3.0786158234782786,3.3102385463197534,2.316849515308388,2.5403761902162083,2.2726584440340973,2.161492803252671,2.0703733478771467,1.8282476332118964,1.892092485771492,1.9835355806868367,2.062059067223547,1.9478922112819674,1.8847446733427164,1.7797288613889335,1.7724135341956002,1.9501771847266818,1.78884957476453,2.3318431593302504,3.3816012304058076,2.5674225848557617,2.000077027571966,2.314006629055772,2.4676146492585955,2.3184807087368138,2.8716827679708317,2.8505697018411964,3.4436611845180134,3.401091348080094,4.059435210187069,3.981214773018826,4.619101175949582,4.64059944503883,4.174525080272579,4.059843718362449,3.5363457572191694,3.462637313337408,2.7756900753734914,2.2485393914858407,2.4748081177007673,2.089315992292051,2.3950623925929957,2.452067837337961,2.7530304659112486,2.625746870599481,3.0944976505889312,2.7313034549801087,2.607709182558118,2.206119987193672,2.0012663110958777,2.0985637440383624,2.218716719387852,2.42294464910649,2.601892493720559,2.964562630870126,2.9139900359336046,2.677402512568919,2.5749354521787247,2.52780382944384,2.2163797169494046,2.2386247201149456,2.3984477082760036,2.3956296660130807,2.8166140666922415,2.927740417051692,3.254824848940592,3.886739080443511,3.5827378071055795,3.8615714830084253,4.131106811564003,3.060938891158071,2.598222210804285,2.3138989068278635,2.170854448752208,1.9907256973334244,1.9405237638973798,1.8969358719157254,1.995378731960416,2.048976734047927,2.3083008039881294,2.301716392080732,2.185278681586556,2.3263295538475868,2.6219760132010648,2.5314967012057745,2.4879697842856765,2.776040958395479,2.987832970672822,2.900617702116206,2.998061658842612,3.3205031782080705,3.330013150733186,3.2316537992387127,3.024130835274814,2.9030715883042117,2.6212417731843494,2.48966669262476,2.5273776560568235,2.354367510736971,2.8246424429174826,2.358830200442505,2.4190570342726057,2.1329863044292265,2.102650091899715,2.1375013512020438,2.0685104055217263,1.9932600989422806,2.014357768160722,1.990248877080629,2.0909590504926467,2.016981412879718,1.9546250046872105,2.183217686172271,2.1630908253423193,2.0362814833190894,2.0467299432071346,1.9219802063490246,2.0062649014707583,1.9974990192390456,2.1353547974367055,2.2910976049008145,2.4593562688449566,2.6098821352159205,2.3937987154396567,2.590666944237093,2.862524256680611,2.7955607070210586,2.6563623134712064,2.956052039837122,3.194355593625856,3.0279880856669616,2.9318233874252613,3.241935213285226,3.4275111946619328,3.1037666915597506,3.015933357563545,2.823312744334775,2.639474597241828,2.5236199874308283,2.3644696751193837,2.4792423926425493,2.4533476714984808,2.227098536034116,2.2020098362694704,2.285629429464352,2.114244485787049,2.039560879999792,2.2222787549731855,2.194187816507774,2.0117415225628883,2.1003306431478728,2.2532119825927115,2.268255895430807,2.345302330048881,2.6157812063381902,2.803471914513653,2.6222782453130566,2.7318517225967693,2.635985614856628,2.9076741077543096,2.9167926515902427,2.5402628719171783,2.351395181735415,2.2354197653681385,2.1317685128706008,2.134437709783375,2.0166419989261595,2.225685888497444,2.6765708717271166,2.6534412141029096,2.794917843702832,3.0074169226715317,2.9747823049027997,3.1147997582017513,3.5263762664405816,3.6070756166570566,3.5482702424119936,3.7141918959580487,3.993155784804518,4.504814966400042,4.464348751450676,5.078127233334275]]},{"name":"Protease-ligand interaction","means":[[175.18469088986419,174.7415298448202,175.76120158526535,173.43851904184913,176.01674535880983,178.38721549280814,179.7552821436794,183.12921596317653,182.1424408824255,182.2888457874814,183.98521353779876,186.71951977986348,185.88512335510367,183.3205169428927,186.9763889403064,188.53443956009238,186.1471555000711,188.21533027406275,187.44198713298076,190.07940029045216,190.6189688091819,193.10562020316635,191.76576551634005,189.61385364898317,189.40234983261396,187.31036512319193,187.6486974114534,186.31162524772122,188.6029775576339,189.9734125977623,191.7643311804348,193.01936462046308,195.76587579069334,197.69242262692,195.99740510559937,193.44108541934258,193.90168880756502,192.17886767019257,190.91857229885332,194.9827951820358,190.69078221018785,191.69619394662953,194.86199457654743,194.12598968348036,193.31644026872007,192.28995469641038,194.92398642604707,196.2455285058913,194.16984827485825,196.58058958899448,199.69389121528957,201.03463115131893,202.5320464904652,198.98296389979959,203.45494149567403,203.55260667157287,199.88473115480795,201.25179672788812,204.96284326171184,203.84329953751157,200.10945342025423,201.17437355349963,200.1950859561729,199.36121140265766,197.6007731592909,196.08399583176734,192.5346759287237,191.86934916286856,188.55979363722872,188.14878470265734,186.22452967062202,186.58629087615296,189.59136212965444,191.60815489827095,192.9925354543899,197.57858423037715,197.36515694283125,200.58379469002136,200.02609338578392,200.60586353050047,200.18522775466644,199.0883955176398,198.75778839737976,197.9065943382684,194.501262645811,194.83842599215802,195.45305318555108,197.62940998455372,195.94375151189556,199.37657885539764,196.60633793903196,198.05423618202056,195.97233631417768,195.45510261639956,192.10103371165957,191.9720939542024,188.94671428865033,192.32677191229146,191.02301378128757,193.07374311785847,193.9965892484408,193.77301937934635,194.4490590320659,192.9712686390757,193.92852310308137,189.93981895101587,191.65577542016675,189.33415842061467,186.0149271353096,187.78763693603273,184.1219200257408,184.4860719253829,182.8341155395561,181.885392120834,182.43720490905412,180.83125208088148,182.79687119172098,181.17734875522444,183.75103664234058,184.66778638281656,182.13529900572067,181.4023605443578,178.6761765866564,178.72771060823226,178.8121970849847,179.0126609098507,179.85048692543168,181.30641700532203,182.6626395256996,186.5572316614474,183.56926496638857,187.15580757234326,187.13585758068635,189.98837398235358,185.37631291659136,183.66532326747392,179.64464193978333,179.43451086367506,178.31148252258077,181.16030217594113,179.86624856158267,182.79931565561412,183.89441056279696,183.48727758153532,186.35567784259058,187.05446398660388,184.85422721358478,185.9614987248012,186.35782965935496,185.2125491700623,186.7717165835287,186.94874063066197,190.66568131785672,190.08054652807644,190.8140515175673,191.5126335997934,189.5680573875717,190.06281891570856,189.92891547218102,189.05914331903742,187.12714368847654,189.17216389232277,185.8696961949998,189.63204139768578,188.2041451515407,184.14958774402572,185.87736563184404,185.0869216625517,182.79123018997348,181.21796143903705,182.7546675055331,183.12449458086718,187.10277856492166,189.6610313249894,191.5792248335971,193.40755535849382,192.6685430718259,197.03623905245766,195.53273683945346,196.2487398440615,193.87204569741095,191.0678921528322,192.77378607962393,193.43373034186925,191.0376414157244,193.37924931293438,192.59975968345947,195.06059354147467,191.6680824760693,192.90456703236856,192.16053822070384,191.67555342444322,189.653899466316,187.8348685535528,187.6972508093167,186.4443500277758,183.17451595009467,184.85228462716324,182.3110662034638,183.99338908275962,184.86552541951008,185.95223578798553,183.08786541645398,180.88309106692043,183.5488611621282,182.09727433829144,177.2728668719082,179.44671152917653,182.9127614012289,178.59863173109176,177.0334922867817,179.21947065692518,179.31702383863956,175.68885335219917,175.77475392532259,174.82427154221764,178.4548308221705,175.22658429398564,178.04499564535075,180.65961638264096,183.30968109288128,185.51739492632703,187.12407889616563,189.94589638224488,189.70291287490886,192.80361930945253,192.546685225095,194.48564315918875,191.55539895844186,187.67637509986338,190.7974526039517,191.1106971736557,186.76121265366103,186.54893291745586,189.06521419548525,185.98894667222032,182.7019509741781,184.32133192682403,183.02991268546944,187.77776454185906,190.20203599109718,190.09201073423654,193.36925454449894,195.74080771133708,194.87909459815586,190.79749153836693,191.6887491646745,193.56718930259473,190.11609655232905,187.61715134673202,189.60506247024506,188.66322718300736,185.18957240221158,187.48790941087552,188.18132764028152,184.84347356366607,184.00719440582432,186.44570394435195,185.0922656242256,187.93452436778415,188.29037164596403,189.81825469322933,186.98500210607864,183.50460623439827,186.26726855789695,185.09513065084008,182.18672567903303,181.8935498358599,184.8603260948389,181.43458228980836,178.29260494539983,180.7120176138043,182.21127608476948,178.60642378573388,176.1886076941972,173.56349699504986,172.854560388917,169.82622923618587,172.01798642148853,170.64377381929722,173.76093449295354,173.64358080259655,170.295907585152,171.16683887253276,170.41948767675518,172.69876584994086,176.28927786750702,176.79781059615627,180.27755714465292,179.23690477347841,179.40130706575803,184.1427988959558,185.29648915214594,186.68539930627438,182.50886375573089,181.6646583370359,184.0697688091012,182.46709309266302,178.97881580034465,180.75954036963952,183.26664109308268,184.07335674186515,184.99883733369182,186.65795713068357,178.0616437082386,176.46572329354058,173.98576526564923,176.1663943414989,172.59426006126026,175.8076514013301,175.91780744041117,175.57684788921506,178.81544655346488,179.64686178894706,181.33060404173642,179.9703938080761,178.849269178072,181.79975178991185,182.38789153638407,180.4357446732505,180.29626109320486,181.87111147968082,183.7427226320672,181.3434382083391,183.32046655285606,182.20437631176932,184.29064078181963,184.63257532534732,181.98817227592477,182.46080530026458,179.7466126007864,179.48202685244246,179.2492557375121,177.9265478214859,181.92844253926145,178.52638758783286,179.98997216656824,180.94550893233787,178.89054293111462,179.3782027446153,176.50680690827585,177.22480057765162,176.32756386952502,174.48029176524253,176.77757979862372,179.29838604288582,179.08275616330081,179.84475071306144,180.42206987112533,179.7136876182327,180.19647357669666,178.2963273529901,176.15951198398182,176.54668358486185,175.64094390765257,173.49473521117292,174.09684425718908,175.00863966178537,174.27132525747126,175.56803521899374,177.05983335618905,177.93959389350866,177.8484084249462,177.75139477581533,180.43933850844584,182.31986783900646,182.46407696923748,185.478502525816,183.5470726828816,181.79072655979238,184.83927697270752,183.83776419286306,186.1566358096515,186.01361436252637,187.54122618069397,190.4015890571174,188.66574485369082,188.42868871277702,185.60591891398894,186.77587833508895,183.3310482161857,182.98828003717276,180.56639695183625,178.96514398959846,176.3797438863562,174.44443206355365,172.75453574546745,171.41763354338548,172.71006225120655,174.05566559074774,176.74087799379973,176.26740052840708,179.57398568989834,180.4614072212021,182.65628657408118,185.55732165517273,185.06761571561336,183.6699140298344,182.79961576928673,184.90159194848758,184.03871947008574,180.89628889928267,179.34014407374718,177.73602660869565,176.39933839446854,173.28423472769097,173.15756583697902,170.68709573813922,168.319475978389,168.5325826943042,166.44221564963073,165.57911335641856,166.51886906397723,167.87247456547354,169.7110518973944,171.12703581890133,173.86364623476064,174.567366820151,177.66404711179482,178.31629547607707,179.687118857175,180.76937605162274,183.71675578321785,182.5791319401026,183.41789666606581,182.16167042585914,181.54152221415882,179.39790545245302,177.89172257734558,174.88310178854698,172.4090820605926,170.9319485325846,168.82775902838637,167.72172498977517,166.66888325339576,164.94575043616925,165.98285758309336,166.31623450713246,167.98464921979254,169.97534103310252,169.65882291170948,172.74225780363028,175.42749947423064,175.524825289973,178.9415299896807,179.3540081698049,179.2263427829865,177.30074156141853,176.52190588325047,176.6788285976849,176.29947218180675,175.46074079664479,173.61653274683576,174.8271447937237,172.86921974862742,175.33401385182339,173.79789850574338,176.48416180102836,177.49410281450378,175.6516890996483,175.9205683004575,173.2613258843203,174.58128649464686,171.4838331972033,172.07878720072938,173.98397525928848,174.19988116864658,173.39069701894826,171.95648738145547,173.25008447801056,170.77370335961285,171.9649772400163,170.74593163279334,172.21822734036672,170.53407362096726,171.9478622106745,170.89236487788318,170.69459772273837,171.3207136488273,170.65872357204756,173.17309476198488,171.45592577539645,171.32788438033666,169.54572296102606,169.4416981192583,168.6188029006997,167.1398408661491,166.97884423022194,168.4165016589633,170.34125292347005,172.73805391159166,172.45492417754247,174.25549370146467,171.69935466805362,170.97909601238769,169.66098232879656,168.1341802746209,167.1744233877242,165.85687407186774,164.7845768746158,165.55058484443154,164.12223598807162,164.27531097599083,165.1528223960828,163.9596861355573,165.23264818182022,166.51331485248767,165.68132462621804,165.6297151146523,167.7973022508293,168.4668953021338,167.57275435891472,168.34035037154717,170.9393961603678,171.14703581417442,171.23770148014717,172.91807356640186,174.5824149707538,174.09067082017188,172.46407200512263,172.11562720659367,170.34277684984409,168.497806863002,168.73811349525806,166.78104396437936,168.5836613202618,166.2072086270758,165.20080889736997,163.80703988197854,162.83189667226304,162.53822949099603,161.6439313265494,162.32175337503097,162.68647805037824,162.06049925932334,161.85393784078107,162.52692248644308,162.4923860125393,161.96636096345765,162.71252252878705,163.0529902566819,163.30462863673876,163.26352446072843,163.15606239983515,162.50167262038542,162.9687723992539,163.11631683831877,163.37914956427463,164.19673137951125,164.22471122930767,164.89125974878118,165.83449963005773,166.524788758361,166.55335416770427,167.75777310319623,169.15840240021876,169.20383971688034,168.43090095111307,170.06212666882692,171.84788455991136,170.6354460363445,169.93255426591708,168.63414816648393,166.83151851770535,165.53980429456357,164.46430476454694,166.1708613765164,166.37289576725732,164.25679988928414,164.8704449577495,165.9252554354332,164.42030126503803,163.72287851977785,165.51715993144308,165.41252340056306,163.53837487712138,164.37844007595768,166.26759319265025,166.20119252194698,167.80529226056075,169.55719513506162,171.9885602820873,171.52679898621838,172.48466756374165,170.08499026219155,172.25882658492455,173.92059259430076,171.73735057858312,170.6578721871192,168.9518932281942,166.46135294758355,168.3098761062377,166.63197523875073,169.1027837444288,170.19793856183026,169.51913772657963,170.06850051499725,171.22846617653457,171.87751307730232,172.54733986619837,173.94148768400257,174.49185924132996,175.51422983323454,176.77280110994866,178.5302004949713,179.00480608635127,178.74678672627772,179.3582134886557]],"stdvs":[[141.01803454806281,141.91058052129821,143.24176216414165,141.84213584867916,142.9622207353481,141.44344366056967,140.82579169113583,140.66378888511022,138.87064045485943,137.9362851186449,136.77900216999032,137.46697010889068,137.68236113561477,136.17683181035423,135.34718480091598,136.21281140576636,136.26004718501278,134.78635794382447,133.25785347642625,134.31494258797494,132.73743988450872,132.79052359729553,131.49580052304276,131.38927334242263,133.3760370601166,133.65776143915593,135.4809793133023,136.2108761553354,136.2959888500774,137.15708034154898,134.775260905451,136.87322127093188,135.93937394792547,134.88921745697445,135.9832167732911,135.6493428284027,137.4969991277848,136.770703541273,137.2206197500905,137.52743245733504,136.4529637961521,134.89054144607692,134.32692413649465,134.51980334468723,133.38404729556038,134.51557600218223,133.19577068713141,133.8126479714569,136.13465263259874,135.41565661918938,134.99463743090985,136.41152272447,135.26277485508518,135.65232109024822,135.23760507450524,134.99946361006295,134.41636920103107,134.49187145338692,134.0610676898875,133.4974207344232,133.0189764037261,132.36466115244377,132.68445137239098,130.89759419969118,131.84364273074345,133.24831176868753,131.856551500225,132.89562132922262,131.88359105907952,132.4320947395924,131.59771659845146,129.7645562322278,130.7432871248648,130.33776821581037,132.0977125333711,130.96579618119506,132.73959152531918,132.91129422542755,134.11691598737437,134.65389667770015,136.4137480061129,137.45787601619523,138.8255837276167,139.34566633110683,138.84070805041046,138.3372346544169,136.53142893586906,136.97365503272107,135.0392864633241,134.60057004160095,133.6414918801022,131.98763743157286,132.65844643796507,133.73963552448205,134.61001173936805,133.6926087845515,134.43068177324207,136.06696867306061,137.2489615341814,138.30220787558983,138.40523379969008,140.3979471885452,139.86660037580043,141.62471703566956,142.42349858422344,142.90709371182353,143.83241331265955,144.16077600763737,144.4433212035555,143.9528792412786,143.4279227745708,142.39686432489023,141.19660360594736,140.62294666737466,138.6146664244303,138.27069935506054,136.87011276662423,136.15467579352568,133.92012840588774,134.685638275486,134.637360471579,135.87613046198902,136.71973989572055,138.1432637577841,139.3838411240416,141.06101676815345,142.39128154833327,142.86396765671532,143.82946747680532,143.64964959566623,144.62900541221842,144.85362468871892,143.99174773713875,143.52835308650748,143.19095177947213,142.67190045599153,143.49419644860714,141.72279206008477,140.45023740686352,139.6253955676026,137.73689067013962,136.43470911899166,136.32225915650872,137.79552789418815,137.78303519313633,137.9004720756638,138.58547593352964,139.22505923450206,140.49657542305707,140.30768234153516,141.39028434279453,140.3204402791373,140.88237925906625,139.70930469151574,138.9485985798399,139.64016767570098,139.40247086234046,140.75002357577395,139.70025147534568,141.4332721433719,140.9643312924164,139.32280214011098,139.4825092373381,139.17458768729566,140.15672820662078,139.84245485067177,141.30264014657314,140.85734426628267,142.23654830117997,141.5853041568437,142.21623105827214,141.10485403671206,141.14312599494696,140.94877059483454,140.4426872691073,140.86934035635534,139.64055068890977,140.09512584027297,139.9316885417386,140.956141233598,140.910676390285,142.23907863644354,142.5174880039273,142.29982799242464,141.83833913095495,140.12939487690588,138.84530761375913,138.73786379987862,138.25479487172888,139.84395091868612,140.807106335343,142.119788521491,142.47582581340055,143.2447159869721,143.91702933689646,144.605688712215,145.11086283201763,145.6885776932604,146.1059145143855,145.69949983637173,146.1347790006211,145.56827466554893,145.31908094191377,146.03213660166674,145.84257740855884,145.14277540432317,145.45700312614807,145.61972182936756,144.90388387959356,144.33540055599784,144.51805428960319,144.1291908120171,143.3326088852006,143.1527572093589,143.24323314598632,144.19199443795563,143.73306932474634,144.926311537218,145.37333074870682,144.86963906360566,145.1020018508037,144.51441913536638,144.84130355000323,145.43463054061343,145.7895607974489,145.8755560941041,145.9841774200882,145.94699911894816,145.9709137095516,146.20699864348674,146.2158229353151,146.03797128722573,146.24943645511385,146.34092826217102,145.79721929300308,145.8636643089926,146.35890617622005,145.83352406998247,146.42875282334262,145.97932308088116,146.01925224515543,146.0214555230831,145.76709437745677,145.5415255928978,145.15513676884683,145.50237334765603,145.3849462464381,144.8214188327509,144.694613015694,145.08422363981765,144.4514712742162,143.91289851681927,144.26568958024455,144.38108660023101,143.6340937314261,143.0801046857415,143.80193123945418,143.84108442908254,144.5137533764685,144.97812615208804,145.4465920002292,145.6739330649234,145.2754666646027,145.60749780578968,146.04201743256402,145.86129113184668,145.82330065727888,146.3533378772696,146.10316308443365,145.82018111517846,146.3031365539467,146.44560990958612,145.94052793753625,145.57604086579138,146.2036991341402,146.36784017640346,145.624365922734,145.67706581460715,144.94698636597795,145.19001693505814,145.5286443787034,144.56276585301183,144.6148256412277,145.67230207500867,146.4956842318003,146.6373082857836,146.51997391410438,145.58589022170884,145.52181034074837,144.2694918059996,144.38958089393503,144.27121762033593,144.44081947167237,143.55632763171175,143.47500807767963,143.7515837899652,142.91069592760402,141.99950095940514,142.32928977737305,142.43500924682823,141.7144208253117,140.99551375326482,140.43513244288002,140.8798180739856,141.23565490541372,141.5722051047651,140.90315096631096,141.96084410617178,141.36282201131976,139.39433760880968,138.69397721269934,136.4288634634977,136.66640374298072,136.864883463167,135.55659289735553,133.77998742283512,134.9640421669156,136.25567455097845,134.12313103206793,133.42275155932313,135.12344723758082,134.04483428263256,134.77824676417592,133.47910143965967,133.31778682662946,132.10908138293595,133.06476419030946,134.46412747084725,134.47477329244015,135.2680276202257,135.22253741038358,135.72476263986795,134.08392174365494,133.0119441909433,131.6423596934316,130.8127030172707,128.93310010701688,128.1055681383357,129.32692197716972,131.10789392172293,130.82180024851456,132.38707180453602,133.4885016224556,131.4224750612395,133.85852430774472,133.09208488668395,131.64821670271024,133.62051318748368,132.23168662045336,132.76349347233065,131.47094219483236,130.87178861767734,131.9713185574673,130.67903894556656,129.21288956923811,128.77103038942897,127.78012523150244,130.21316265526605,127.19611887521863,126.02608420289155,128.77900399196238,128.0587146137355,125.73860152664909,126.92394818528003,128.71267807543674,127.74587577819821,127.77035592654234,128.5697910390584,129.6587650826021,130.22176161057655,131.94805063243405,132.1113141184114,133.9008380332201,133.74801099148436,134.8239957826919,134.6409302039232,132.93542460838609,132.2830854075511,131.22019993145992,128.77773721961373,129.08834052468396,127.09150125086984,127.48732604091502,127.42868825697875,127.47399260209035,128.35420749297475,128.36258515639494,129.12300985097843,131.4577616947718,130.8514597827592,130.52616034180446,128.77331285494157,129.90854392418302,127.52522507179334,129.1249001611635,128.26417088477433,129.1767622648177,129.15676331327978,131.04657582284176,130.81665326639097,132.5527827864335,130.63781374359428,131.30522400508312,129.5806210107082,129.79511640541142,129.92818348418908,130.08289804878999,131.1278647711002,131.13587262573054,133.604556247553,132.52167203488747,134.41733999387966,136.50389179678146,134.95711163823572,137.15863801646012,136.99153857204723,137.3581553311385,138.2571461067719,137.56704301134934,138.6605234141842,137.55221504259532,138.66226768878542,137.0314834599715,136.19625058916037,137.46215163296375,137.75949172340873,139.53219345390644,139.52970957803464,139.46026712499827,140.000384637286,139.74211927898708,139.11605735113153,138.6858862673097,136.4654778184676,139.00074938511918,136.6999365288868,136.85050056323325,134.60883224138843,137.71387852226886,138.21618154685493,140.84210188717677,140.7027281189595,140.9919328804158,139.55196873793912,140.32266881156835,138.9529679494895,137.72058196667595,137.84203380668671,136.29415962563627,135.46315055181543,136.71493684540962,135.7567676575108,135.50349916586723,135.68561560665813,134.61954438502187,133.761490554754,131.26697489797974,130.9209061688857,130.52448241032874,130.80831020014202,132.43471040404083,132.44511434585814,132.86103621885152,133.92963373698493,135.63947415842117,134.27133880748877,136.7140157766086,134.65917798329522,136.11495706806954,138.522380429068,138.02453547388853,138.89760330517169,140.14185374882402,140.54109051842673,139.5126823300232,138.96137014003756,136.41338542284205,134.53073124129776,133.01520652668566,131.54099512119868,131.70150067639773,128.96894140175445,130.4476798446335,130.00070227749234,132.3649552658113,133.45999158469348,132.83467738295653,132.73536923600557,134.37910736556213,132.91462300985214,133.271591909793,132.44457928055897,134.4342069384648,133.94515248078545,134.66033451763423,134.98253117163506,135.84633836183315,136.82381300548118,136.77408237139457,137.54404054937157,139.69865572115256,138.81188834986557,140.51179355835134,138.7037430513835,137.90931794793494,136.37118300559902,138.42549174792114,140.19506522928717,137.5880744552484,137.90043160856612,141.3468337899567,139.683882986145,136.2749852725794,138.79983432587926,139.70555885696814,137.60857107136675,137.08327270017728,139.52609257329766,138.9172438130445,140.36063253604993,137.59632791466402,141.28899673556435,140.01226862447328,137.4690633112413,136.13749912476132,133.52176209974766,133.34422753501246,131.07145377287702,132.39937726297134,130.46983796178563,131.36078382012494,130.01714819035092,131.81532129201807,135.5682439305046,133.45558729639174,133.28848030747903,136.79453576359904,137.30105082225276,135.57402123110444,137.99768325302867,140.63788974220702,139.5528068245744,140.161098902859,136.36215423952282,134.5186404016568,133.77654303452928,131.12767047470237,128.58548913142786,129.6003864468714,132.86406912845032,130.90987290845345,129.4494349652307,132.54992648103004,133.78051634660707,131.3212516599674,131.6952106884098,134.25540936896195,132.2712695499071,130.97342935278908,133.10300321963774,133.92486005072507,132.07476832937942,133.804948436284,132.2645711296958,132.93644410056118,131.94093200515547,133.28213273798374,136.57139275891214,135.42612747665925,135.8818874008245,137.85546497893674,139.5023388279134,137.12352191607522,138.83258351489278,142.0673909736925,141.59123990712743,139.63885865788606,141.6070571304428,143.90597495247533,144.9107516798755,144.6961641897587,145.07626734973323,143.398067708184,143.92986589910086,142.9305335584078,141.99334448407402,143.69105423016202,144.56411373393752,145.72133660110526,145.52126326488616,144.0418420784635,142.55310852505804,141.03329926937545,140.539441558291,140.05880747305943,137.59737156925885,136.23529801917155,135.15013642468995,138.242740946663,137.78466776617267,135.85673375659758,137.37658169450856,138.95816872589054,136.56524278331295,134.8341873468854,134.62871615040868,133.48519512786729,133.10634003223282]]}]}